Answers
Related Questions
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answers
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35
multiply the exponents.
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
If you have 3 dimes, one less penny than twice as many dimes and 2 less quarters than 3 times as many dimes, then how much total money do you have?
$2.11
$2.10
$1.10
$1.11
Answers
Answer:
$2.11
Step-by-step explanation:
Let's call the number of dimes x.
The number of pennies is two times the number of dimes minus 1, so 2x - 1.
The number of quarters is three times the number of dimes minus 2, so 3x - 2.
So, we know that we have x dimes, 2x - 1 pennies, and 3x - 2 quarters
In terms of money, we can find the total by converting each coin to its value in dollar.
x dimes = x * $0.10 = $0.10x
(2x - 1) pennies = (2x - 1) * $0.01 = $0.02x - $0.01
(3x - 2) quarters = (3x - 2) * $0.25 = $0.75x - $0.50
Now we can add these three equations to find the total money.
$0.10x + $0.02x - $0.01 + $0.75x - $0.50 = $0.87x - $0.51
Given the x = 3, we can substitute it in the above equation
$0.87*3 - $0.51 = $2.11
So, the answer is $2.11
Answer:
Step-by-step explanation:
How do you convert 72 kilograms to pounds? show the mathmatical steps
Answers
1 kilogram = 2.20462 pounds
To convert 72 kilograms to pounds, you can multiply 72 by 2.20462 as follows:
72 kilograms = 72 x 2.20462 pounds
72 kilograms = 158.73264 pounds (rounded to five decimal places)
Therefore, 72 kilograms is equal to approximately 158.73264 pounds.
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x
Answers
Answer:
Step-by-step explanation:
Summarizing allows you to focus on the important information by finding the introduction, topic sentence and
conclusion.
Please select the best answer from the choices provided
True or false
Answers
True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.
Importance of summarySummarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.
This process enables the reader to grasp the core message of the text quickly and efficiently.
By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.
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Options for the first grey box:
1) reflection
2) rotation
3) translation
Options for the second one:
1) reflection
2) rotation
3) translation
Answers
Answer:
Reflection
Rotation
Step-by-step explanation:
These are the steps required to change figure A to figure B.
it rotated 270° clockwise
Samantha went to the store to buy cereal, milk and bread. The cereal cost $3.68. The milk cost $3.53 and the bread cost $2.14. If Samantha gave the clerk $10.00, how much change did she receive?
Answers
Answer:
$0.65
Step-by-step explanation:
The cereal ($3.68) + the milk ($3.53) + the bread ($2.14) costs a total of $9.35. If Samantha gave the clerk $10.00, she'd receive 65 cents back.
$10.00 - ($3.68 + $3.53 + $2.14) = $0.65
What do I do?
Brief Calculus Question: Find Each limit (if it exist)
Answers
For the given function the value of limits are
\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5
\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0
\(\lim _{x\to 0}\left x^2+5\)is 5
The given function is f(x)= x²+5, when x≤0
f(x)=2x when x>0
\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)
Which is \(\lim _{x\to 0^-}\left x^2+5\)
The given limit is a left hand limit as there is minus in the limits
When we apply x as 0 we get the value 5
Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)
So \(\lim _{x\to 0^+}\left 2x\)
The given limit is a right hand limit as there is positive in the limits
When we apply x as 0 we get 0
Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)
Which is \(\lim _{x\to 0}\left x^2+5\)
We get 5
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identify the x-values for which f(x)>-2
Answers
It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
How to explain the information?It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.
In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
The graph is attached below.
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5,10,15,20,25 what is the common difference
Answers
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
A rectangle has an area of 1/6 square centimeters and a length of 1.5 centimeters. What is the width? what is the perimeter?
Answers
The width of the rectangle is 1/9 cm.
The perimeter of the rectangle is 3.2 cm.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Rectangle:
Area = 1/6 cm²
Length = 1.5 cm
Width = w
Now,
Area = length x width
Perimeter = 2 (length + width)
So,
1/6 = 1.5 x w
w = 1/(6 x 1.5)
w = 1/9 cm
And,
Perimeter.
= 2 (1.5 + 1/9)
= 2 x (13.5 + 1)/9
= 29/9
= 3.2 cm
Thus,
The width of the rectangle is 1/9 cm.
The perimeter of the rectangle is 3.2 cm.
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How much higher is -58 than -93?
Answers
Answer:
35
Step-by-step explanation:
93 - 58 = 35
The numbers 4 through 14 are placed in a bowl and drawn at random then replaced after being drawn.What is the probability that you will choose an even number
Answers
Answer:
The probability is probably about 55%
Step-by-step explanation:
-4(2x + 5) + 5x - 1 = - 48
Answers
\(\tt x=9\)
Step-by-step explanation:
\(\tt -4(2x + 5) + 5x - 1 = - 48\)
Apply the distributive property to multiply -4 by 2x+5:-
\(\tt -8x-20+5x-1=-48\)
Combine like terms:-
\(\tt -3x-21=-48\)
Add 21 to both sides:-
\(\tt -3x=-48+21\)
\(\tt -3x=-27\)
Divide both sides by -3:-
\(\tt \: x = \cfrac{ - 27}{ - 3} \)
\(\tt x=9\)
Hope this answers your question!
Answer:
x = 9
Step-by-step explanation:
Given equation:
\(-4(2x + 5) + 5x - 1 = -48\)
Apply distributive property rule: x(y + z) = xy + xz
\(\implies -4(2x + 5) + 5x - 1 = -48\)
\(\implies (2x \times -4) + (4 \times 5) + 5x - 1 = -48\)
\(\implies -8x - 20 + 5x - 1 = -48\)
Combine like terms on the left hand side to simplify the expression:
\(\implies -8x - 20 + 5x - 1 = -48\)
\(\implies x(-8 + 5) + 1(-20 - 1) = -48\)
\(\implies x(-3) - 21 = -48\)
Add 21 on both sides to remove all the mathematical operations (addition, subtraction, multiplication, division) being performed on the L.H.S
\(\implies-3x + 21 - 21 = -48 + 21\)
\(\implies -3x = -27\)
Cancel the "-" by dividing "-1" both sides:
\(\implies 3x = 27\)
Divide 3 on both sides to isolate the coefficient from x.
\(\implies \dfrac{3x}{3} = \dfrac{27}{3}\)
\(\implies \boxed{x = 9}\)
Check:Now, let's check our answer. This can be done by substituting the obtained value of "x", into the given equation and simplifying it.
Correct/Incorrect:
If L.H.S = R.H.S, then the value of "x" is correct.
If L.H.S ≠ R.H.S, then we might have to recheck our work we did above.
\(\implies -4(2x + 5) + 5x - 1 = -48\)
Plugging x = 9 into the equation:
\(\implies -4[2(9) + 5] + 5(9) - 1 = -48\)
Simplifying the expression using PEMDAS:
\(\implies -4[18 + 5] + 5(9) - 1 = -48\)
Simplifying the expression inside the parentheses (18 + 5) and evaluating the product of 5 and 9:
\(\implies -4[23] + 45 - 1 = -48\)
Opening the parentheses "-4[23]" and multiplying -4 and 23
\(\implies -92 + 45 - 1 = -48\)
Subtracting 45 both sides of the equation:
\(\implies -92 - 1 = -48 - 45\)
\(\implies -92 - 1 = -93\)
Simplifying the L.H.S:
\(\implies -93 = -93 \ \checkmark \checkmark\)
Therefore, our answer is correct.
Bryce forgot how much he spent on a new video game but he did remember meer de palo 8.57% tax and that came to be $12.75. What is the original price of the video game?
Answers
Answer:
11.66
Step-by-step explanation:
According to data released by FiveThirty Eight (data drawn on Monday, August 17th, 2020), Donald Trump wins an Electoral College majority in the 2020 US Presidential Election in 10,997 simulations out of a total of 40,000 simulations.
(a) I am interested in the probability that Donald Trump wins any one simulation from the Five Thirty Eight model. Write the parameter of interest. Write and calculate the estimate of your parameter using mathematical notation.
(b) Construct a 95% confidence interval for the parameter from (a), show at least 4 significant digits. I highly recommend using R, and only rounding at the end.
(c) TRUE or FALSE:
According to the FiveThirty Eight model, there is a 95% probability that the true parameter of interest from
(a) lies within your interval from (b).
(d) TRUE or FALSE:
If I were to repeat samples of 40,000 from the Five Thirty Eight model, I expect 95% of my sample statistics from (a) to lie within your interval from (b).
(e) TRUE or FALSE:
If I were to repeat samples of 40,000 from the FiveThirty Eight model, I expect 95% of samples to lead to 95% confidence intervals that cover the true parameter of interest from (a).
(f) People often misinterpret the FiveThirty Eight model to say that our previous results suggest that Donald Trump "shouldn't" or "won't" win the election. Explain why this is not a correct interpretation. Suggest, calculate, and explain an alternative conclusion from the simulation results that is more intuitive and interpretable.
Answers
Answer:
a) P = 0.274925
b) required confidence interval = (0.2705589, 0.2793344)
c) FALSE
d) FALSE
e) TRUE
f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.
Step-by-step explanation:
a)
PROBABILITY
since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is 10,997
so the required Probability will be 10,997 divided by 40,000
P = 10997 / 40000 = 0.274925
b)
To get 95% confidence interval for the parameter in question a
(using R)
>prop.test(10997,40000)
OUTPUT
1 - Sample proportion test with continuity correction
data: 10997 out of 40000, null probability 0.5
x-squared = 8104.5, df = 1, p-value < 2.23-16
alternative hypothesis : true p ≠ 0.5
0.2705589 0.2793344
sample estimate
p
0.274925
∴ required confidence interval = (0.2705589, 0.2793344)
c)
FALSE
This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.
d)
FALSE
Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.
e)
TRUE
This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.
f)
The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.
There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.
I need help I’ll give u brainlest
Answers
Answer:
\(252\) cubic yards
Step-by-step explanation:
\(V=lwh\)
Volume = length * width * height
\(V=7*4*9\)
\(V=252\)
Answer:
252 yd³
Step-by-step explanation:
Volume of rectangular prism = length * width * height
= 9 * 7 * 4 yd³
= 252 yd³
According to the steps in problem 4, what is the fraction equivalent of 0.5? 9/5 4/9 5/9 5/13
Answers
Answer:
C. 5/9Step-by-step explanation:
10x = 5.5
-x = 0.5
9x = 5
x = 5/9
therefore, the answer is C. 5/9
A newspaper editor wants to investigate whether the residents of two
counties support the proposal to build a wind farm. She plans to take an
SRS of 30 residents from the southern county and 40 residents from the
northern county, then look at the difference (southern - northern)
between the proportions of residents that support the proposal in each
sample. Suppose that 65% of the residents of the southern county and
52% of the residents of the northern county approve.
What are the mean and standard deviation of the sampling distribution of
the difference in sample proportions?
Answers
The mean of the sampling distribution of the difference in sample proportion is 0.13
The SD is given as 0.13 and option D is correct.
What is Standard Deviation?Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It is a widely used statistic in probability and statistics that helps to quantify the average distance of individual data points from the mean (average) of the data set.
A small standard deviation indicates that the data points are closely clustered around the mean, while a large standard deviation implies that the data points are more spread out.
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Which is more, 6 liters or 6,001 milliliters?
Answers
Answer: 6,001 milliliters
Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.
Answer:
I believe 6 liters is more.
Please need help on this
Answers
Answer:
1) x² + 4x +1 = 1 (You have to put in +1)
2) True
Step-by-step explanation:
1)
2) A range is a representation of values between two points. When you're calculating the range of a parabola, you only know one of those points to start with. Your parabola will go on forever either up or down, so the end value of your range is always going to be ∞ (or −∞ if your parabola faces down.)
Answer: the answer is true
Step-by-step explanation: There are an infinite amount of numbers the parabola can hit, and there is no limit
hence the statement is true
please help, ill give brainliest
Answers
Answer:
hope this help you......
Drag the operations into the order in which they should be performed to evaluate the expression below. 7 × 6 ÷ ( 13 − 10 ) + 4 addition division multiplication subtraction PLES HELP I WILL GIVE BRAINLYEST
Answers
Answer:It's 18
Step-by-step explanation:Multiply 7 and 6 to get 42
Subtract 10 from 13 to get 3
Divide 42 by 3 to get 14
Add 14 and 4 to get 18
Answer:
18
Step-by-step explanation:
First do the ones inside the bracket (13-10)=3
Second divide 6 by the answer you get from the first part 6÷3=2
Third multiply the answer from second with 7×2=14
Then add the answer you get from the third one to 4+14=18
Mathematically
7×6÷(13-10)+4
= 7×6÷3+4
= 7×2+4
= 14+4
= 18 Answer
Un viajero ha recorrido la tercera parte de su trayecto y sabe que si cubre 65 km más completa la mitad del recorrido. Determine la distancia recorrida.
Answers
The travelled distance of the traveller is equal to 195 kilometers.
How to find the travelled distance by a traveller
According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:
x = d / 3
x + 65 = d / 2
Where:
d - Travelled distance, in kilometers.x - Initial travelled distance, in kilometers.Now we proceed to determine the travelled distance:
d / 3 + 65 = d / 2
d / 2 - d / 3 = 65
3 · d - d = 390
2 · d = 390
d = 195
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The cinemania theater showed 108 108108 different movies last year. Of those, 15 1515 movies were action movies. Based on this data, what is a reasonable estimate of the probability that the next movie is an action movie?.
Answers
a reasonable estimate of the probability that the next movie is an action movie is 0.139 or roughly 13.9 percent.
We may use the percentage of action movies in the total number of films shown last year to determine the likelihood that the next film presented at the Cinemania theatre is an action film:
P(action movie) equals the number of action films divided by the overall number of films aired
By entering the specified values, we obtain:
P(movie with action) = 15 / 108 = 0.139 (rounded to three decimal places)
Consequently, a conservative estimate of the likelihood that the next film to be screened at Cinemania is an action film is 0.139, or roughly 13.9 percent.
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What is the solution to this? Thank you for helping me 8 divided by 1 4/5
Answers
Answer:
40 /9 or also can be written as 4 4/9
Step-by-step explanation:
hope this helps
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.
Which of the following is the best measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
Answers
The range is the best measure of variability for this data, and its value is 4.
Which of the following is the best measure of variability for the data, and what is its value?The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).
The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:
Range = Maximum value - Minimum value = 4 - 0 = 4
Therefore, the range is the best measure of variability for this data, and its value is 4.
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The area A, in square meters, of a rectangle with a perimeter of 80 meters is given by the equation A = 40w − w2, where w is the width of the rectangle in meters. What is the width of the rectangle if its area is 300 m2?
Answers
The equation for the area of the rectangle is given by:
A=40w - w²
But the value of the area A = 300
Substitute the value of A into the equation
300= 40w - w²
Rearrange the equation
w² - 40w + 300 = 0
The above is now a quadratic equation
To find the width, simply solve for w in the above quadratic equation.
Using the formula method to solve the above quadratic equation;
\(w=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)w² - 40w + 300 = 0
a=1 b=-40 and c=300
substitute the values into the formula and evaluate
\(w=\frac{-(-40)\pm\sqrt[]{(-40)^2-4(1)(300)}}{2(1)}\)\(=\frac{40\pm\sqrt[]{1600-1200}}{2}\)\(=\frac{40\pm\sqrt[]{400}}{2}\)\(=\frac{40\pm20}{2}\)\(=\frac{40}{2}\pm\frac{20}{2}\)\(=20\pm10\)Either w = 20 + 10 or w= 20 - 10
w = 30 or w=10
This implies that there are two possible values for the width of the rectangle
Let's check our answer
p = 2l + 2w
80 = 2l + 2w
40 = l + w
If w = 30
l = 40 - 30 = 10
A = l x w = 10 x 30 = 300 m²
If w=10
l=40 - 10 = 30
A = l x w = 30 x 10 = 300 m²
Therefore, the width of the rectangle is either 30m or 10 m
Helpppp please prettty pleaseee THIS IS TIMED. I WILL MARK Brainliest. NO LINKS Please Or I WILL REPORT YOU. PLEASE GIVE EXPLANATION
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Answer:
Please show the picture or question.
plss help me i need ur guys help and if u dont i fail plsssss help im begging u
Answers
Answer: 37 hours.
Step-by-step explanation:
All you really have to do is divide 259 by 7.
Answer:
37 hours
Step-by-step explanation:
You would need to divide 259 by 7 creating your sum.