The point A(1,5) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, A'?

Answer:

Tom is incorrect

The cost of using the air pump has increased by 150%

Step-by-step explanation:

Tom is incorrect

percent change = [ (difference between initial and final value) ÷ initial value] × 100

⇒ [ (50 - 20) ÷ 20) × 100 = 150%

Therefore, the cost of using the air pump has increased by 150%

The centripetal force is the force that acts on an object moving in a circular path, directing it towards the center of the circle. option a.

When a car is driving around a curve, the centripetal force is provided by the frictional force between the tires and the road. This force acts inwards, towards the center of the circle, and is responsible for keeping the car moving in a circular path.

The centripetal force is always perpendicular to the direction of motion, so option (b) and (d) can be eliminated.

Additionally, there is no force that acts away from the center of the circle, so option (c) can also be eliminated. Option (e) is not applicable since the question is asking about the direction of the force, not its orientation.

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Answer:

There are 4 terms

Step-by-step explanation:

A term is a single mathematical expression. Terms can be identified with a plus or minus sign in front of them. Terms can also be multiplied and divided.

So, in this case, the terms are:

-7

12x^4

-5y^8

x

The inequality is 2(3x - 5) ≤ (4x + 6) and the solution of the inequality is (-0, 8]

Let the number be x,

Twice the difference of three times a number and five = 2(3x - 5)

The sum of four times a number and six is  (4x + 6)

2(3x - 5) ≤ (4x + 6)

6x - 10 ≤ 4x + 6

6x - 4x ≤ 6 + 10

2x ≤ 16

x ≤ 8

x can be any positive number less than or equal to 8.

Therefore, the inequality is 2(3x - 5) ≤ (4x + 6) and the solution of the inequality is (-0, 8]

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Answer:

assuming that the problem was actually

-1/12 x ^ 2 + 2x + 4

height = 16

(12,16)

forty feet (40) feet

vertex = -b/2a = -2/(-1/6) = 12

f(12) = - 144/ 12 + 24 + 4 = -12+ 24 + 4   = 16

Step-by-step explanation:

\(answer \\ = 10 {x}^{5} y \sqrt{6xy} \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps\)

The product of the given expression is;

B: 10x^(5) • y√(6xy)

We are given the expression;

√(5x^(8) • y²) × √(10x³) × √(12y)

Now, according to laws of exponents, we know that; √(a⁴) × √(b³) = √(a⁴ × b³)

Thus, our given expression will be;

√(5x^(8) • y²) × √(10x³) × √(12y) = √[(5x^(8) • y²) × (10x³) × (12y)]

√[(5x^(8) × 10x³) × (y² × 12y)]

√(50x¹¹ × 12y³)

>> √(600x¹¹y³)

Now, further break down of this gives;

10x^(5) • y√(6xy)

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Recall that the distributive for the product property states that:

Using the distributive property we get:

Simplifying the above result we get:

Answer:

Step-by-step explanation:

\(\frac{(x + 2)}{4} = - 2 \\\)

multiply everything by 4

\(x + 2= - 2 \times 4 \\ x + 2 = - 8\)

subtract 2

\(x = - 8 - 2 \\ x = - 10\)

the answer is -10

Answer: 14 x 2 = 24

24 x 4 is 96

Step-by-step explanation:

So if I’m not wrong its 96

Answer:

The answer in percentages is 15%

Answer:

a1 = 17

an = 4n + 13

Step-by-step explanation:

a1 is the first term of the sequence, which is 17.

the difference is 4 for each number.

Using formula

an = a1 + (n - 1)d

an = the formula of an itself

d = difference

a1 = first term

So,

an = a1 + (n - 1)d

an = 17 + (n - 1)4

an = 17 + 4n - 4

an = 4n + 13

So the an = 4n + 13

━━━━━━━━━━━━━━━━━

Hope it helps!

The construction that is shown is a perpendicular bisector.

option B.

A perpendicular bisector can be defined as a line that intersects another line segment perpendicularly and divides it into two parts of equal measurement.

A perpendicular bisector can be drawn using a rule, a compass and a pencil.

This is done by drawing a straight horizontal line as shown in the diagram, and place a compass on the horizontal line.

The next step in the construction would be; extend the pencil above the line and make an arc to forms a semi circle in clockwise direction.

Draw the same arc again in the anti clockwise direction and you will obtain the same figure given in the question.

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Answer: 7               explanation:574\(%\)%82=7  7x82=574

Answer:

compatible answer= 7.5

Real answer: 7

Step-by-step explanation:

Mathematical induction, the statement is true for all integers n > 1. For this, we will start with

Base Case: When n = 2, we have:

∑(5i – 4) = 5(1) – 4 + 5(2) – 4 = 2(5*2 - 3)/2 = 7

So, the statement is true for n = 2.

Inductive Hypothesis: Assume that the statement is true for some positive integer k, i.e.,

∑(5i – 4) = k(5k - 3)/2  for k > 1.

Inductive Step: We need to show that the statement is also true for k + 1, i.e.,

∑(5i – 4) = (k + 1)(5(k+1) - 3)/2

Consider the sum:

∑(5i – 4) from i = 1 to k + 1

This can be written as:

(5(1) – 4) + (5(2) – 4) + ... + (5k – 4) + (5(k+1) – 4)

= ∑(5i – 4) from i = 1 to k + 5(k+1) – 4

= [∑(5i – 4) from i = 1 to k] + (5(k+1) – 4)

= k(5k - 3)/2 + 5(k+1) – 4 by the inductive hypothesis

= 5k^2 - 3k + 10k + 10 – 8

= 5k^2 + 7k + 2

= (k+1)(5(k+1) - 3)/2

So, the statement is true for k + 1.

Therefore, by mathematical induction, the statement is true for all integers n > 1.

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Answer:

Step-by-step explanation:

0.03550295857

The probability that the sample mean would be less than 127 wpm if 84-speed typists are randomly selected is: 0.033625

What is Mean?

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply said, the mean is the average of the values in the given collection. It indicates that values in a certain data collection are distributed equally. The three most often employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to get the mean. When all of the values are organized in ascending order, the Median is the median value of the provided data. While the number in the list that is repeated a maximum of times is the mode.

We have

\(\mu=124\)  

\(\sigma=15\)

n=84

We want to find the probability that the sample mean would be greater than 127 WPM is

\(\begin{aligned}P(\bar{X} > 127) &=P\left(\frac{\bar{X}-\mu}{\sigma / \sqrt{n}} > \frac{127-124}{15 / \sqrt{84}}\right) \\&=P(Z > 1.83)\end{aligned}\)

\(=0.033625\)

The required probability is 0.0336.

Hence, The probability that the sample mean would be less than 127 wpm if 84-speed typists are randomly selected is: 0.033625

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A hypothesis test should be used. Specifically, a one-tailed independent samples t-test is suitable for this purpose.

In a one-tailed test, the hypothesis is formulated with a specific direction, in this case, the expectation that the mean time for non-schizophrenics is less than the mean time for schizophrenics. The null hypothesis (H0) would state that there is no difference or that the mean time for non-schizophrenics is equal to or greater than the mean time for schizophrenics. The alternative hypothesis (Ha) would state that the mean time for non-schizophrenics is less than the mean time for schizophrenics.

The t-test is appropriate because it compares the means of two independent groups (schizophrenics and non-schizophrenics) and determines if the observed difference in means is statistically significant. The t-test takes into account the sample sizes, standard deviations, and the differences between the means to calculate a t-statistic and a p-value. The p-value indicates the likelihood of observing the given difference in means if the null hypothesis were true. If the p-value is sufficiently small (below a predetermined significance level), the null hypothesis is rejected in favor of the alternative hypothesis, supporting the theory that the mean time on the test for non-schizophrenics is less than the mean for schizophrenics.

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Answer: The correct answer is A)

Answer:

B

Step-by-step explanation:

For example, if i gave u 28

The digit two stands for 20, and the digit 8 stands for 8, therefore u call it 28

Each spot has it own name

For example if i gave u the number 12345

5 is in the first spot, therefore 5 x 1 =5

4 is in the tenth spot, therefor 4 x 10 = 40

3 is in the hundred spot, therefore 3 x 100 =300

2 is in the thousand spot, therefore 2 x 1000=2000

1 is in the ten thousand spot, therefore 1 x 10000

=100000

So if u add all these numbers together u will get

12345

OK, so for your question, the 6 in 558672, is in the hundred spot, so 6 x 100 =600

The 3 in 74139 is in the ten spot, so 3 x 10=30

So the product is to multiply them together

600 x 30 =18000

Answer:

Probably B

Step-by-step explanation:

The one mean Z test can be used for small samples of size less than 15 when the population standard deviation is known.

The one-mean z-test is a hypothesis test that is used to test a hypothesis about the mean of a population when the population standard deviation is known, and the sample size is large (typically greater than 30).

When the sample size is small (less than 15), the one-mean z-test is not appropriate because the assumptions of the test may not be met.

When the sample size is small, we typically use a t-test instead of a z-test to test a hypothesis about the population mean.

Specifically, we use a one-sample t-test when the population standard deviation is unknown, and the sample size is small (typically less than 30).

The one-sample t-test uses a t-distribution to calculate the p-value and test the null hypothesis about the population mean.

It is important to note that the sample size of 15 is not a hard and fast rule for when to switch from the z-test to the t-test.

The decision of which test to use depends on the specific context and the assumptions of the test.

In general, if the population standard deviation is unknown and the sample size is small (less than 30), then we use the t-test. If the population standard deviation is known and the sample size is large (greater than 30), then we use the z-test.

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5.33 trays must be sold to cover all costs including labor.

Cost means a price that must be paid for something or a sacrifice.

Given that,

Profit on each tray sold excluding labor cost = $35-$14 = $21

Thus, the Total labor cost for making a party tray for a day = Total labor hours * wages per hour* No. of labors = $7 * $8*2 = $112

The number of trays that must be sold to cover the cost will be = Total labor cost for making party tray for a day/ Profit on each tray sold excluding labor cost = $112/$21 = 5.33

Therefore, 5.33 trays must be sold to cover all costs including labor.

Complete question: Party trays which cost $14.00 to make not including labor are sold for $35.00. if two people work 8-hour shifts making the trays at $7.00 per hour, how many trays must be sold to cover all costs including labor?

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Answer: Anything greater than -4 would also be greater than x.

Step-by-step explanation:

Answer:

\(y = \frac{7}{5}x + 6.8 \)

Given,

It takes a word processor 24 minutes to word process and spell check 10 pages.

Consider,

Time taken by the word processor to word process and spell check 55 pages is x.

According to the question,

Time taken by the word processor to word process and spell check 55 pages is 132 minutes.

The maple syrup level is increasing at a rate of approximately 0.0191 feet per minute when the syrup is 5 feet deep.

To find the rate at which the maple syrup level is increasing, we can use the concept of related rates.

Let's denote the depth of the syrup as h (in feet) and the radius of the syrup at that depth as r (in feet). We are given that the rate of change of volume is 6 cubic feet per minute.

We can use the formula for the volume of a cone to relate the variables h and r:

V = (1/3) * π * r^2 * h

Now, we can differentiate both sides of the equation with respect to time (t):

dV/dt = (1/3) * π * 2r * dr/dt * h + (1/3) * π * r^2 * dh/dt

We are interested in finding dh/dt, the rate at which the depth is changing when the syrup is 5 feet deep. At this depth, h = 5 feet.

We know that the radius of the cone is proportional to the depth, r = (20/30) * h = (2/3) * h.

Substituting these values into the equation and solving for dh/dt:

6 = (1/3) * π * 2[(2/3)h] * dr/dt * h + (1/3) * π * [(2/3)h]^2 * dh/dt

Simplifying the equation:

6 = (4/9) * π * h^2 * dr/dt + (4/9) * π * h^2 * dh/dt

Since we are interested in finding dh/dt, we can isolate that term:

6 - (4/9) * π * h^2 * dr/dt = (4/9) * π * h^2 * dh/dt

Now we can substitute the given values: h = 5 feet and dr/dt = 0 (since the radius remains constant).

6 - (4/9) * π * (5^2) * 0 = (4/9) * π * (5^2) * dh/dt

Simplifying further:

6 = 100π * dh/dt

Finally, solving for dh/dt:

dh/dt = 6 / (100π) = 0.0191 feet per minute

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The lamps should be placed strategically around the house to provide adequate illumination in the event of an intrusion. It is important to ensure that the lamps are located in areas where they will not be easily disabled by an intruder. Additionally, the circuitry for the lamps should be placed in a secure location where it will not be easily tampered with by an intruder.

a) The lights alarm is activated when the LDR sensor detects a change in light intensity, which can occur when an intruder enters the premises or when there is a sudden change in ambient lighting conditions.

b) To estimate the value of the resistance of the sensor when it is activated, we need to refer to the characteristic graph of the LDR sensor. According to the graph, we can see that the resistance of the LDR sensor decreases as the light intensity increases. Therefore, when the sensor is activated (when there is a sudden increase in light intensity), we can expect the resistance of the LDR sensor to be at its lowest point on the graph. The exact value will depend on the specific characteristics of the LDR sensor being used and the intensity of the light triggering the activation.

c) The circuit with lamps in parallel will produce more light in the house compared to the circuit with lamps in series. This is because in a parallel circuit, each lamp receives the full voltage from the power source, whereas in a series circuit, the voltage is divided between the lamps. Therefore, the lamps in a parallel circuit will shine brighter than those in a series circuit, providing more illumination in the house.

d) The LDR sensors should be placed in strategic locations where they can detect any changes in light intensity caused by an intruder entering the premises. These may include entry points such as doors and windows or other areas where an intruder may try to gain access.

The siren should be placed in a central location in the house where it can be heard throughout the entire premises. This will help alert occupants to the presence of an intruder.

The lamps should be placed strategically around the house to provide adequate illumination in the event of an intrusion. It is important to ensure that the lamps are located in areas where they will not be easily disabled by an intruder. Additionally, the circuitry for the lamps should be placed in a secure location where it will not be easily tampered with by an intruder.

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By answering the question the answer is Therefore, landscapers should equation use 35 gallons of an 80% pesticide solution.

In mathematics, an equation is a statement that two expressions are equal. The equation consists of her two sides divided by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The goal of solving an equation is to find the values ​​of the variables to make the equation true. Simple or complex equations, regular or nonlinear, and equations involving one or more factors are all possible. For example, the expression "\(x2 + 2x - 3 = 0\\\)" squares the variable x. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.  

Let's say a landscaper needs to use x gallons of an 80% pesticide solution.

The amount of pesticide for an 80% solution is 0.8 x gallons and the amount of pesticide for a 30% solution is 0.3 (35) = 10.5 gallons.

After mixing the two solutions, the total amount of pesticides in the mixture is 0.8 x + 10.5 gallons and the total volume of the mixture is x + 35 gallons.

Since we need a 55% pesticide solution, we can set the following formula:

\(0.8x10.5 0.55(x+35)0.8x10.5 0.55x+19.250.25x = 8.75x = 35\)

Therefore, landscapers should use 35 gallons of an 80% pesticide solution.

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The scatterplot is the correct answer.

A scatter plot uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

The dots in a scatter plot not only report the values of individual data points but also patterns when the data are taken as a whole.

Identification of correlational relationships is common with scatter plots. In these cases, we want to know, if we were given a particular horizontal value, what a good prediction would be for the vertical value.

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