Katie memorized 40 multiplication facts last week. This week she memorized 56 multiplication facts. What is her percent of increase for mamorizing multiplication facts this week?mcq choices: 140%, 71.4%, 40% ,22.4%

Answers

Answer 1

Katie's percent of increase for memorizing multiplication facts this week is 40%.Thus, the correct option is (C) 40%.

To calculate the percent increase in the number of multiplication facts memorized by Katie, we need to find the difference between the number of facts memorized this week and the number memorized last week, and then express that difference as a percentage of the number of facts memorized last week.

Last week: 40 multiplication facts

This week: 56 multiplication facts

Difference = 56 - 40 = 16

Percent Increase = (Difference / Last week) * 100

Percent Increase = (16 / 40) * 100

Percent Increase = 0.4 * 100

Percent Increase = 40%

Therefore, Katie's percent increase in memorizing multiplication facts this week is 40%.

Among the given choices:

- 140% is not the correct answer.

- 71.4% is not the correct answer.

- 40% is the correct answer.

- 22.4% is not the correct answer.

So, the correct answer is 40%.

Therefore, Katie's percent of increase for memorizing multiplication facts this week is 40%.Thus, the correct option is (C) 40%.

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Related Questions

Riley was scuba diving 12 feet below sea level. She dove 8 feet further down what now what is the expression.

Answers

Answer:

-12+(-8)=-20

-20 is the answer

PLZZZZZ HELP MEEE
Which situation can be represented by 17.35x > 624.60?



A. A waitress had received a $17.35 tip. This brought her total in tips to more
than $624.60. How much money in tips did she have before the $17.35 tip?


B. Brianda made a deposit of $17.35 into a savings account. This brought the
total in her savings account to $624.60. How much money did she have in
this savings account before she made the deposit?


C. A dozen tamales cost $17.35 including tax. How many dozen tamales can a
customer buy with $624.60?


B. Darren earns $17.35 per hour at his job. How many hours does he need to
work in order to earn more than $624.60?

Answers

Answer:

B?

Step-by-step explanation:

I am assuming the > is meant to be an = though

A student investigating study habits asks a simple random sample of 16 student at her school how many minutes they spent on their English homework the previous night. Suppose the actual parameter values for this variable are mu = 45 minutes and sigma = 15 minutes. Which of the following best describes what we know about the sampling distribution of means for the student's sample? O mu x = 45; sigma x unknown; shape of distribution unknown O mu x = 45; sigma x = 15; distribution approximately Normal O mu x = 45; sigma x = 15; shape of distribution unknown O mu x = 45; sigma x = 3.75; distribution approximately Normal O mu x = 45; sigma x = 3.75; shape of distribution unknown

Answers

The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.

What is Sampling Distribution?

Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.

Given that,

μ = 45 minutes and σ = 15 minutes

Sampling distribution of means for the student's sample is :

μₓ = μ = 45

σₓ = σ / √n, where n is the sample size.

σₓ = 15 / √(16) = 15 / 4 = 3.75

Now since the sample size 16 which is less than 30, shape of the distribution is unknown.

Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.

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if a4a3 is divisible by 11, what is a?(a is a number)

Answers

Hindi ko po maintindihan Ang question nyo

A group of nine friends go to a baseball game. Each friend buys either a hamburger or hot dog at the
game.
The group buys 6 hot dogs and 3 hamburgers for a total of $27.75.
• A hamburger costs $1.75 more than a hot dog.
What is the cost of a hamburger?
A
$2.50
B
$3.25
$3.75
$4.25

Answers

Answer:

$4.25

Step-by-step explanation:

27.75 - 5.25 = 22.5

22.5/9 = 2.5

2.5 + 1.75 = 4.25

A group of 50 students at a day camp got to choose an activity to do. 22% of students chose to make a craft, 16% chose to play volleyball, and the rest of the students chose to go on a nature walk. How many students chose to go on a nature walk? ​

Answers

Answer:

31 people

Step-by-step explanation:

Total # of people: 50

22% of 50: 0.22 * 50 = 11 people

16% of 50: 0.16 * 50 = 8 people

11 + 8 = 19 people who didn't go on a nature walk

50 - 19 = 31 people who went on a nature walk

How do you know if a character is direct or indirect?

Answers

We can tell if a character is direct or Indirect  by the five methods which are action, reactions, physical description,  inner thoughts,  and speech.

The Characterization in literature is the process that the authors use to develop characters and create images of characters for audience.

There are two different approaches for characterization, which are Direct Characterization and Indirect Characterization.

The methods by which we can know that a character is Direct or Indirect are :

(i) Physical description - In this the character's physical appearance is described. For example, How the character dresses might reveal something about the character.

(ii) Action - Is the character a good person or a bad person can be told by his Action .

(iii) Inner thoughts - The inner thoughts of character reveals the personality .

(iv) Reactions - The Effect on other characters also reveals about the personality of character .

(v) Speech - What character says provides a great insight for the reader.

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Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn.

Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.

Explain your graph

Answers

Answer:

Step-by-step explanation:

On the x axis have popcorn going up in 5s and up to the value 30 and on the y axis have drinks going up in 2.5s to the value 15.

The graph should look like similar to an 'expotential graph' because for every popcorn you buy, the drink will be half the price.

You invest $20,000 in the stock market. The stock market then plummets
over the next few weeks. Each day, your investment loses half of its value. How
much will you have invested after 14 days? Write the geometric sequence
formula and show all of your work.

Answers

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

What is a geometric sequence?

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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How many cups of water would you need for 9 cups of oats?
Oats (cups) Water (cups)
6 18
1
3
1
1 3
9

Answers

Answer: 18

Step-by-step explanation:

I need help pleasejfjdjs

I need help pleasejfjdjs

Answers

Answer:

a) five more than ten b) five groups of ten c) five less than ten d) five into ten

Step-by-step explanation:

Step-by-step explanation:

five less than ten ( c)

five into ten (d)

five groups of ten (b)

five more than ten (a)

Evaluate 3p + 5 when p = 6.
a. 14
b. 18
C. 23
d. 41

a
b
С
D

Answers

Answer:

C. 23

Step-by-step explanation:

3(6) + 5

18 + 5 = 23

Hope that helps and have a great day!

3p+5when p=6
Answer=c 23

PLEASE HELP WILL MARK BRAINLIEST FOR A CORRECT ANSWER. Show your work and walk me through the steps, please.
The design for a painting of a farm scene is 12” x 9”. The artist wants to
transfer this design to the side of a building. What is the largest
possible complete design that can be painted on a 24’ x 16’ wall?

Answers

Step-by-step explanation:

To solve this problem, we need to find the scale factor that will allow us to enlarge the 12" x 9" painting to fit the 24' x 16' wall.

First, we need to convert all the units to the same system. Let's convert the painting size to feet:

12 inches = 1 foot (since there are 12 inches in a foot)

9 inches = 0.75 feet (since 9/12 = 0.75)

So the size of the painting in feet is 1 foot by 0.75 feet.

Next, we can find the scale factor by dividing the size of the wall by the size of the painting:

Scale factor = (24 feet) / (1 foot) = 24

Scale factor = (16 feet) / (0.75 feet) = 21.33 (rounded to two decimal places)

We use the smaller of the two scale factors, which is 21.33, to ensure that the painting will fit within the dimensions of the wall.

Finally, we can find the size of the enlarged painting by multiplying the original size by the scale factor:

Width of enlarged painting = 1 foot x 21.33 = 21.33 feet

Height of enlarged painting = 0.75 feet x 21.33 = 15.99 feet

Therefore, the largest possible complete design that can be painted on the 24' x 16' wall is approximately 21.33 feet by 15.99 feet, using a scale factor of 21.33.

Answer:

the largest possible complete design that can be painted on the 24' x 16' wall is 21' x 15.75'

Step-by-step explanation:

Here, the double prime (double commas) ('') mean inches and the single prime(single comma) (') means foot.

So, the painting is (12" )(9") so it is 12 inches by 9 inches.

While the wall is (24')(16') so it is 24 feet by 16 feet.

We have to find the largest possible complete design that can be painted on the wall

Now, since 12 inches = 1 foot

And for the design to be complete, the design must fit on the wall

now, for every 12 inches we add to the height (the first part i.e 24)

We add 9 inches to the width (the 2nd part i.e. 16)

starting from one side,

we have,

(12 inch)(9 inch) = (1 feet)(9/12 feet)

(12 inch)x(9 inch) = (1 feet)x(3/4 feet)  (i)

where we get the 2nd term, 9/12 as follows,

Since,

\(12 \ inches = 1 foot\\so, \\1 \ inch = (1/12) feet\\and,\\9 \ inches = 9/12 \ feet\)

Now, 9/12 = 3/4

so, 9 inches = 3/4 feet

We have obtained the required ratio, we just now check how far this ratio can go until we exceed the limit of the wall, 24 feet by 16 feet,

so, for example,

Now, this means that when we increase the height by 12 inches = 1 foot,

we also have to increase the width by 3/4 feet = 9 inches

so, if we muliiply the height by 2, we also multiply the width by 2 to get,

(24 inch)x(18 inch) = (2 ft) x (3/2 ft)

now, (2 ft) x (3/2 ft) is smaller than (24 ft) x (16 ft),

Similarly, If we multiply the height by 24, we also have to multiply the width by 24, in which case we get,

24 ft by 24(3/4)ft

(24 ft) x (18 ft) which is greater than the allowed, (24 ft) x (16 ft) (i.e. 18 > 16)so this design cannot fit on the wall

(24 ft) x (18 ft) cannot be painted on the wall since the wall is smaller,

Trying 23, we get,

(23 ft) x (23(3/4) ft) = (23 ft) x (17.25 ft) which is still greater

so we try 22,

(22 ft) x (22(3/4) ft) = (22 ft) x (16.5 ft) which is Still greater

We try 21 to get,

(21 ft) x (21(3/4) ft) = (22 ft) x (15.75 ft) Which is smaller than the wall

So, the largest possible complete design that can be painted on a 24' x 16' wall is 22' x 15.75'

Doing this in another way,

1 inch = 1/12 feet

9 inches = 3/4 feet

We have to find the greatest possible ratio between the height and width of the painting that can be fitted on the wall,

the ratio is height/width = 12 inches/9 inches = 1 ft/(3/4 ft)

and this has to be the greatest ratio less than 24 ft/(16 ft)

If we multiply and divide the ratio by 21, we get,

\(21 \ ft/((21)(3/4\ ft))\)

which gives,

21 ft/ 15.75 ft

or in the other form, the painting is 21' x 15.75' < 24' x 16' (both 21' < 24' and 15,75' < 16')

But if we multiply by 22,

we get

22 ft /(22)(3/4) ft  

in the other form, the ratio is 22' x 16.5'

but since 16.5' is greater than 16',

the 22' x 16.5' design cannot be painted on the wall ( the wall has too little width 16' instead of 16.5')

So, the largest possible complete design that can be painted on the 24' x 16' wall is 21' x 15.75'

Please help, it’s not college math!!

Please help, its not college math!!

Answers

Answer: The first answer choice

AKA: y = -1.74x + 46.6

Step-by-step explanation:

20 Points, Part A What percentage of the time margins are at least 0.6 second? Part B What is the most common margin of victory? (Screenshot)

20 Points, Part A What percentage of the time margins are at least 0.6 second? Part B What is the most

Answers

Answer:

20%

0.5

Step-by-step explanation:

There are 20 margins, so you have to count how many are 6.0 or higher. There are 4 margins that fit this so you divide the 4 margins by 20, then multiply the quotient by 100. That's how you get 20%.

The most common time was 0.5.

Match each expression with its value. −9 7 −2 Undefined h( 3.999 ) h(4) h(4.0001) h(9)

Answers

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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whats an"an amount, shared equally with 4 people "

Answers

well if that's in a math problem then its division. Because you are sharing equally.

What is the approximate circumference of the pizza?

What is the approximate circumference of the pizza?

Answers

Answer:

47.1cm

Step-by-step explanation:

multiply 15 cm by 3.14

Given parameters:

 Radius of the pizza  = 15cm

  \(\pi\)   = 3.14

Unknown:

Approximate circumference of the pizza = ?

Solution:

 The pizza is circular and we take the circumference of a circle to find that of the pizza;

  Circumference of a circle  = 2  \(\pi\) r

Input the parameters and solve;

           Circumference of a circle  = 2 x 3.14 x 15  = 94.2cm

The circumference of the pizza is  94.2cm

Extra points to anyone that helps

Extra points to anyone that helps

Answers

Answer:

+80

-25

-40

Step-by-step explanation:

"Raju's father age is 5 years more than three times of Raju's age. Raju's father age is 50 years."​

Answers

Let rajus age be x

His father=3x+5

ATQ

\(\\ \bull\tt\longmapsto 3x+5=50\)

\(\\ \bull\tt\longmapsto 3x=50-5\)

\(\\ \bull\tt\longmapsto 3x=45\)

\(\\ \bull\tt\longmapsto x=\dfrac{45}{3}\)

\(\\ \bull\tt\longmapsto x=15\)

Answer:

10?

Step-by-step explanation:

I dont understand the question but from what i can decipher, raju is either 10 or 17 but im going for 10

How many solutions does the system of equations below have?
y=7/10x -2
y=2/5x + 8/3

Answers

\( \frac{7}{10} x - 2 = \frac{2}{5} x + \frac{8}{3} \\ \frac{7}{10} x - \frac{4}{5} x = \frac{8}{3} + 2 \\ \frac{3}{10} x = \frac{14}{3} \\ x = \frac{14}{3} \div \frac{3}{10} \\ x = \frac{14}{3} \times \frac{10}{3} \\ x = \frac{140}{3} \)

\(y = ( \frac{7}{10})( \frac{140}{3} ) - 2 \\ y = \frac{980}{30} - 2 \\ y = \frac{98}{3} - 2 \\ y = \frac{196}{3} - \frac{6}{3} \\ y = \frac{190}{3} \\ y = 63 \frac{1}{3} \)

BE AWARE THERE WAS NO NEED FOR ME TO SOLVE THE EQUATION I JUST WANTED TO SHOW YOU HOW IT'S DONE THE ANSWER NOW TO YOUR QUESTION IS THERE IS 1 PAIR OF ANSWER BUT TWO ANSWERS FOR THE VARIABLES.

Two risky gambles were proposed at the beginning of chapter 14: Game 1: Win $30 with probability of 0.5 Lose $1 with probability of 0.5 Game 2: Win $2000 with probability of 0.5 Lose $1900 with probability of 0.5 How much would you pay (or have to be paid) to take part in either game

Answers

To determine how much one would pay to take part in either Game 1 or Game 2, we need to consider the expected value of each game. The expected value is the sum of the possible outcomes of the game, weighted by their probabilities.

For Game 1:

Expected value = ($30 × 0.5) + (−$1 × 0.5) = $14.50

Therefore, on average, someone playing Game 1 would expect to win $14.50 per game.

For Game 2:

Expected value = ($2000 × 0.5) + (−$1900 × 0.5) = $50

Therefore, on average, someone playing Game 2 would expect to win $50 per game.

The amount someone would pay (or have to be paid) to take part in either game depends on their personal risk tolerance and their preferences for expected value versus potential loss.

If someone is risk-averse, they may be willing to pay a premium to participate in Game 1, as it has a lower potential loss of only $1, and they may be willing to forego the higher expected value of Game 2 for the added security.

On the other hand, someone who is risk-seeking may be willing to pay more to participate in Game 2, as they are willing to take on the higher potential loss of $1900 in exchange for the higher expected value.

Ultimately, the amount someone would pay (or have to be paid) to take part in either game is subjective and depends on their individual risk preferences.

The expected value for Game 1 is $14.50, you would be willing to pay up to $14.50 to participate in the game. For Game 2, with an expected value of $50, you would be willing to pay up to $50 to participate in the game.

To determine how much you would pay or have to be paid to take part in either Game 1 or Game 2, we need to calculate the expected value of each game. The expected value is the average outcome of the game if it were played many times, and it's calculated using the probabilities and potential winnings or losses.

For Game 1, the expected value (EV1) can be calculated as follows:

EV1 = (Win amount x Probability of winning) + (Loss amount x Probability of losing)
EV1 = ($30 x 0.5) + (-$1 x 0.5)
EV1 = $15 + (-$0.50)
EV1 = $14.50

For Game 2, the expected value (EV2) can be calculated similarly:

EV2 = (Win amount x Probability of winning) + (Loss amount x Probability of losing)
EV2 = ($2000 x 0.5) + (-$1900 x 0.5)
EV2 = $1000 + (-$950)
EV2 = $50

Now that we have the expected values, we can determine how much to pay or be paid to take part in each game. Since the expected value for Game 1 is $14.50, you would be willing to pay up to $14.50 to participate in the game. For Game 2, with an expected value of $50, you would be willing to pay up to $50 to participate in the game.

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simplify 2 x^2 y^3 × 4 x y^2

Answers

Answer:

8x³y⁵

Step-by-step explanation:

this is tje answer

Brainliest if correct

Brainliest if correct

Answers

Answer:

the answer is c

determine the sine and cosine of 90 degrees

Answers

\(\begin{gathered} \text{From the graph} \\ \sin e\text{ (90)=1} \\ co\sin e\text{ (90)=0} \\ The\text{ cosine and sine of 90 is }\mleft(0,1\mright) \end{gathered}\)

the cost of a family membership at a health club $58 per month plus a one time 129 start up fee . if a family spent 651 , how many months is their membership?

Answers

Answer:

9 months

Step-by-step explanation:

651=58x+129

-129         -129

522=58x  divide 522 by 58

=9

Which defines a circle?
two rays with a common endpoint
O a piece of a line with two endpoints
O a piece of a line with one endpoint
O all coplanar points equidistant from a given point

Answers

Answer:

the last one

all coplanar points equidistant from a given point.

help i dont know what to choose

help i dont know what to choose

Answers

Answer:

m<R=10

Step-by-step explanation:

180=11x-5+6x+5+x

=18x

x=10

pls pls pls help me i am giving you a ton of points and pls explain how you got the answer.

pls pls pls help me i am giving you a ton of points and pls explain how you got the answer.

Answers

The expected value of the defective skateboard will be 4/25. Then the correct option is B.

What is probability distribution?

Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.

It might be a function, a table, etc.

The table is shown below.

Then the expected value of the defected skateboard will be

p = 0 x 9/10 + 1 x 1/20 + 2 x 1/25 + 3 x 1/100

p = 1/20 + 2/25 + 3/100

p = 5/100 + 8/100 + 3/100

p = 16/100

p = 4/25

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Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = .20, p(1) = .25, p(2) = .30, p(3) = .15, and p(4) = .10. a. Draw the corresponding probability histogram. b. What is the probability that at least two students show up? More than two students show up? c. What is the probability that between one and three students, inclusive, show up?
d. What is the probability that the professor shows up?

Answers

a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.

b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25

c) The probability that between one and three students show up = 0.7

d) The probability that the professor shows up = 0.20

First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.

x        p(x)

0       0.20

1       0.25

2       0.30

3       0.15

4       0.10

The probability histogram of this data is shown below.

The probability that at least two students show up would be,

P(x ≥ 2) = p(2) + p(3) + p(4)

P(x ≥ 2) = 0.30 + 0.15 + 0.10

P(x ≥ 2) = 0.55

Now the probbability that more than two students show up:

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.15 + 0.10

P(x > 2) = 0.25

The probability that between one and three students show up would be:

P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)

P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15

P(1 ≤ x ≤ 3) = 0.7

And the probability that the professor shows up would be: p = 0.20

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Let X be the number of students who show up for a professor's office hour on a particular day. Suppose
Other Questions
adding fractions 1/3 + 1/5 = __WHAT THE ANSWER I REALLY NEED HELP!!! Saw a board 5 ft 1 in. Long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be? Choose the direct object in the sentence.Mr. Simpson gave Jim a lesson in archery.A. Mr. SimpsonB. JimC. lessonD. archery What is the moral of Harrison Bergeron? Monte performs an experiment using 2 identical graduated cylinders, each with a radius of 2 centimeters. The volume of the liquid in the first graduated cylinder is 188.4 cubic centimeters. The volume of the liquid in the second graduated cylinder is 314 cubic centimeters. What is the difference in the height of the liquid in the two cylinders 3. Which of the following is an igneous rock? a. gneiss b. shale c. limestone d. pumice Triangle ABC is a right triangleThe length of BC is 5 units.The area of ABC issquare units.10 Which statement accurately describes the political characteristics of modern Texas?A. The Democratic Party controls most state and local offices.B. Texas is a state where third-party candidates often win elections.C. Texas has a two-party system, but Republicans dominate.D. The Republican Party is strong, but has failed to control the governorship inrecent years. Is exercise a verb?super easy question The price of a plain bowl plus the priceofextra ingredients equals $ Are there any props used in different portrayals of "To be, or Not To Be" from the soliloquy from Hamlet, Act III. If so, what?Mel Gibson (1990): ________Kenneth Branagh (1996): ________David Tennant (2009): __________(Please don't just copy and paste something) Thank youuu Help me please. Not much I understand here. Please guys? A 2.4-kg object on a frictionless horizontal surface is attached to a horizontal spring that has a force constant 4.5 kN/m. The spring is stretched 10 cm from equilibrium and released. What are (a) the frequency of the motion, (b) the period, (c) the amplitude, (d) the maximum speed, and (e) the maximum acceleration? (b) When does the object first reach its equilibrium position? What is its acceleration at this time? Ans: (a) f=6.89Hz (b)T=0.15s (c) A=10cm (d) 4.3m/s (e) 190m/s2 A. Match the term with its definition. (1 point)A. FrequencyB. WavelengthC. Velocity_____ The direction and speed at which a wave is traveling_____ The distance between two adjacent wave peaks_____ The number of waves passing a point in 1 secondB. What is the equation that illustrates the relationship between wave velocity, frequency, and wavelength? (1 point) Read the excerpt from A Poem for My Librarian, Mrs. Long.There was a bookstore uptown on gay streetWhich I visited and inhaled that wonderful odorOf new booksEven today I read hardcover as a preference and paperback onlyAs a last resortThe implicit details in this excerpt show that the speakeris puzzled by the unusual scent of new books.still believes that the uptown bookstore is the best.is sad that the uptown bookstore no longer exists.still has a deep love of books and reading as an adult. Possible factors affecting unemployment within India andUSA. You might want to add what countries can learn from eachother. Your parents bought a car in 2010 for $25,000. The car has been depreciating by 11% per year. How much was it worth in 2017? if one strand of a dna molecule has the sequence of nucleotides 5' attgca 3', what would the sequence of the complementary strand be? A change in genotype, but not in phenotype, is most likely due to _________. Belly Dealers prepared the following figures: 13 Marks Credit sales: January February March April May R891000 R972000 R749 250R1 105650R704 700Additional information: 1. Credit sales are collected as follows: - 30% within the month of sale - 40% in the month following sales - 29% in the second month following sale - The balance is uncollectable 2. Purchases equals to 45% of the sales value and paid; 70% in the month of purchase and balance in the month after purchases. 3. Office salaries are paid by the end of the month. Office salaries for January amounts to R18 000 and are expected to increase by 7% each month up to and including March. 4. A second hand delivery truck costing R150000 is to be purchased in March. A deposit of 15% of the purchased price must be paid for in the month of purchase and the balance in three equal instalments, commencing from the month following purchase. 5. Rent of R7000 per month is payable 6. Rates and taxes amounts to R2 500 monthly and are payable at the end of the month. 7. At the end of March, the business had an unfavorable balance of R70000 Required: Prepare a cash budget for the month of April and May, clearly show your calculations. NB: Round off calculations to the nearest amount. Indicta negative amount by means of brackets.