The line represented by the equation 4y = 3x + 7 is transformed by a dilation centered at the origin. Which linear equation could represent its image? (1) 3x - 4y = 9 (2) 3x + 4y = 9 (3) 4x - 3y = 9 (4) 4x + 3y = 9

The answer is in the image

Answer:

4 is your answer :) yayy

Answer: Your answer is 4

Step-by-step explanation: If you have 2 blocks, and someone gives you 2 more, you now have 4 blocks in total. Hoped this helped you. Have a wonderful day!!!

The graph of the function represents that the marshmallow will reach its maximum height after 2 seconds.

The function is  h(t) = 5+20t-5t²

The graph of the function is attached below.

Now we will have to differentiate the function.

we will use the chain rule and power rule.

h'(t) = 20 - 10t

to find the maximum t , we get h'(t) = 0

or, 20-10t = 0

or, t = 2

hence at 2 seconds the object will be at its maximum height.

h(2) = 5 + 20×2 + 5 ×(2)²

or, h(2) = 65

The maximum height is 65 .

Now we will find the time for the object to land back

h(t)= 0

5+20t-5t² = 0

solving t = 4.236...

the domain for the function is all possible values of t which will be all real number greater than 0

Domain = t > 0 | t ∈ R

hence the graph of the function represents that the marshmallow will reach its maximum height after 2 seconds.

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Answer:

5

Step-by-step explanation:

a²+b²=c²

In this case c is 13 and b is 12

a²+12²=13³

a²+144=169

Subtract 169 and 144 to find a

169-144=25

The square root of 25 is 5

So, the graph of f(x - 2) is just the graph of f(x) translated 2 units to the right.

Sadly we don't have the original function f(x), but we can answer in a general form.

Remember that for a general function f(x), a horizontal translation of N units can be written as:

g(x) = f(x + N).

So, the graph of f(x - 2) is just the graph of f(x) translated 2 units to the right.

So you need to resketch f(x), but just move it 2 units to the right side (positive x-axis side).

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hello

according to metric table

1 decagram = 1000 centigram

Joni's mistake was not multiplying by 1000

the answer is option B

The algebraic expression for 38 less a number n is n - 38.

An algebraic expression is a combination of terms separated by mathematical operators like addition (plus +), subtraction (minus -), multiplication (product *), and division (by /), performing their functions.

A term is a combination of variables and numerical constants.

In the question, we are asked to write the algebraic expression for 38 less a number n.

First, we find the terms.

In the given expression, we have two terms.

We are asked to write the expression for 38 less a number n.

If we are doing less than a certain number, we are subtracting.

Thus, to get the expression, we need to subtract the term 38, from the term n.

Thus, the algebraic expression is n - 38.

Thus, the algebraic expression for 38 less a number n is n - 38.

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Answer:

-6.5

Step-by-step explanation:

To evaluate the expression we have to substitute a= -5 and b =2.

0.5a - 2b

= 0.5 * (-5) - 2 *2 , first multiply 0.5 *(-5) and 2*2

= -2.5 - 4, subtract (-2.5) and 4

(you can think at this as (- 2.5) +( - 4) because subtraction is just like adding a negative number )

= -6.5

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

The equation of line H in fully simplified slope-intercept form is y = 15x + 10.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (40 - 10)/(2 - 0)

Slope (m) = 30/2

Slope (m) = 15.

At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 10 = 15(x - 0)

y = 15x + 10

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

1. -$50 2. $25

Step-by-step explanation:

150-200= -50

-50+75=25

The number 3.01 is a statistic, the symbol for the number 3.01 is μ_hat; and To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours).

The number 3.01 is a statistic.

The symbol for the mean number of hours per day spent watching TV for the sample of 100 Cal Poly students is μ_hat.

To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours). The null hypothesis is that the population mean (μ) is equal to 2.75 hours, and the alternative hypothesis is that the population mean is not equal to 2.75 hours.

Steps to find p-value:

1. Calculate the difference between the observed mean and the hypothesized mean: d = μ_hat - 2.75 hours

2. Generate a large number of random samples with the same sample size as the original sample, and calculate the mean of each sample.

3. Calculate the difference between the mean of each sample and the hypothesized mean and store the values in a list.

4. Count the number of differences that are equal to or greater than the difference between the observed mean and the hypothesized mean (d).

5. Divide the count by the total number of simulations to get the p-value. This gives us the probability of getting a sample mean equal to or greater than the observed mean if the null hypothesis is true.

6. Compare the p-value with the significance level (α) to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data provide evidence that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

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--The given question is incomplete; the complete question is

"Reconsider Dr Sameer's research question about how much time Cal Poly students spend watching television. Suppose that Dr Sameer surveys a random sample of 100 Cal Poly students, and for this sample, the mean number of hours per day spent watching TV turns out to be 3.01 hours.

1. Is the number 3.01 a parameter or a statistic?

2. Assign an appropriate symbol to the number 3.01.

3. Describe how you can conduct a simulation‐based test of significance to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours. Be sure to provide details on how one would find a p‐value."--

Answer:

\(9^{28}\)

Step-by-step explanation:

using the rule of exponents

\((a^{m}) ^{n}\) = \(a^{mn}\) , then

\((9^7)^{4}\) = \(9^{7(4)}\) = \(9^{28}\)

We want to determine which parking lot would be cheaper for a particular number of hours. Let x represent the number of hours for which the car would be parked in either parking lot.

One parking lot charges $5 to park and $2 per hour. This means that the cost of parking a car in this lot for x hours would be

2x + 5

Another lot charges $10 to park plus $1 per hour. This means that the cost of parking a car in this lot for x hours would be

x + 10

Assuming we want to park the car for 5 hours. We would substitute x = 5 into the equations. Thus, we have

For first parking lot,

2 * 5 + 10

= 10 + 20 = $20

For second parking lot,

5 + 10 = $15

Thus, the second parking lot is cheaper. You should park there

Answer: y = 10/7 x= 26/7 so A (26/7 , 10/7)

Step-by-step explanation:

since an equation for x is already given, we can plug it in to the first equation to solve for y

3(4y-2) + 2y = 14

12y - 6 +2y = 14

14y -6 = 14

14y = 20

y = 20/14

simplify

y = 10/7

plug the y we just found into the equation for x to find the value of x

x = 4(10/7) -2

x= 40/7 - 2

make both fractions

x = 40/7 -14/7

x= 26/7

hope this helps!

My Question:

Is there any answer choices?

Answer:

Radius of identical spheres = 6.24

Step-by-step explanation:

Here volume remains constant.

Volume of big sphere = Volume of 3 identical small spheres.

Let r be the radius of small sphere,

We have

Radius of identical spheres = 6.24

Answer:

The volume of a cube is given by the formula V = s^3, where s is the length of a side of the cube. In this case, the length of a side is 11.4 centimeters with a possible error of + - 0.04 centimeters.

To find the possible error in the value of the volume of the cube, we can use the formula for the maximum error in a product:

max error in V = |V| * (max error in s / s)

where |V| is the absolute value of the volume, and max error in s is the maximum possible error in the measurement of the side.

Substituting the given values, we get:

max error in V = |11.4^3| * (0.04 / 11.4)

max error in V = 538.516 * 0.00351

max error in V = 1.89 cubic centimeters (rounded to two decimal places)

Therefore, the estimate for the possible error in the value of the volume of the cube is 1.89 cubic centimeters

Answer:

A , B and C

Step-by-step explanation:

evaluate the expressions following the order of operations as set out in PEMDAS

initial expression

note that • indicates multiplication

3 (2 + 6) + 4 × 5 ← evaluate parenthesis

= 3(8) + 20 = 24 + 20 = 44

A

5 × 4 + 3 × (6 + 2) ← evaluate parenthesis

= 5 × 4 + 3 × 8 ← perform multiplication

= 20 + 24 ← perform addition

= 44

B

(6 + 2) × 3 + 4 × 5 ← evaluate parenthesis

= 8 × 3 + 4 × 5 ← perform multiplication

= 24 + 20 ← perform addition

= 44

C

3 × 2 + 3 × 6 + 4 × 5 ← perform multiplications

= 6 + 18 + 20 ← perform addition

= 44

D

3 × 2 + (6 + 4) × 5 ← evaluate parenthesis

= 3 × 2 + 10 × 5 ← perform multiplication

= 6 + 50 ← perform addition

= 56

the expressions equivalent to the initial expression are A , B and C

Step-by-step explanation:

154 is my answer thank you

Answer:

74.52

Step-by-step explanation:

\(P(10)=0.018(10)^3-0.294(10)^2+3.074(10)+55.180 \\ \\ =74.52\)

Step-by-step explanation:

D. 10 %

hope it helps!

.......

(a) 0.52, (b) -0.54, (c) 0.68, (d) -0.71, (e) -1.44 - Percentiles for standard normal distribution using z-table.

(a) To find the 71st percentile, we search for the z-score that relates to a combined area of 0.71 to one side of the mean. From the standard typical circulation table, we find that the nearest z-scores are 0.67 and 0.72, with relating areas of 0.7486 and 0.7642, individually. To interject, we utilize the equation:

z = z1 + (z2 - z1) * ((p - p1)/(p2 - p1))

where z1 and z2 are the nearest z-scores in the table, p1 and p2 are the comparing regions, and p is the ideal total region (0.71). Connecting the qualities, we get:

z = 0.67 + (0.72 - 0.67) * ((0.71 - 0.7486)/(0.7642 - 0.7486)) = 0.52

Consequently, the 71st percentile is z = 0.52.

(b) To find the 29th percentile, we search for the z-score that compares to a combined area of 0.29 to one side of the mean. From the standard ordinary conveyance table, we find that the nearest z-scores are - 0.53 and - 0.52, with relating areas of 0.2981 and 0.3050, individually. To add, we utilize the recipe:

z = z1 + (z2 - z1) * ((p - p1)/(p2 - p1))

where z1 and z2 are the nearest z-scores in the table, p1 and p2 are the comparing regions, and p is the ideal total region (0.29). Connecting the qualities, we get:

z = - 0.53 + (- 0.52 - (- 0.53)) * ((0.29 - 0.2981)/(0.3050 - 0.2981)) = - 0.54

Consequently, the 29th percentile is z = - 0.54.

(c) To find the 76th percentile, we search for the z-score that relates to an aggregate area of 0.76 to one side of the mean. From the standard ordinary appropriation table, we find that the nearest z-scores are 0.73 and 0.77, with relating areas of 0.7673 and 0.7794, separately. To interject, we utilize the equation:

z = z1 + (z2 - z1) * ((p - p1)/(p2 - p1))

where z1 and z2 are the nearest z-scores in the table, p1 and p2 are the comparing regions, and p is the ideal total region (0.76). Connecting the qualities, we get:

z = 0.73 + (0.77 - 0.73) * ((0.76 - 0.7673)/(0.7794 - 0.7673)) = 0.68

Consequently, the 76th percentile is z = 0.68.

(d) The 24th percentile compares to a z-score of - 0.71, meaning 24% of the standard ordinary conveyance misleads its left.

(e) The seventh percentile relates to a z-score of - 1.44, meaning 7% of the standard typical conveyance misleads its left.

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Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.

With a 12% housekeeping gratuity, the hotel bill for 4 nights comes to $891.52.

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

According to our question-

Total cost = Bill before tip + Tip

Total cost = $796 + $95.52

Total cost = $891.52

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The time taken to complete one of the later legs is (t - 9.72)/3

Total number of legs in a relay race = 4

total time taken = t

Last three legs are equal , Let the time taken for the later legs = x

The time taken can be related using the relation :

t = 3x + 9.72

To obtain the time for one of the later legs, make x the subject of the formula

subtract 9.72 from both sides in other to isolate 3x

3x + 9.72 - 9.72 = t - 9.72

3x = t - 9.72

Divide both sides by 3 in other to isolate x

x = (t - 9.72)/3

Hence, the time taken for one of the later legs is (t - 9.72)/3

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Answer:

x equals -5. hope this helps:)

Answer:

I hope this will be helpful for you.

0 (zero)

Step-by-step explanation:

\({ \blue{ \sf{ {5}^{ - 3} \times {2}^{4} \times {5}^{3} \times {2}^{ - 5}}}} \)

Arrange the like terms in order

\({ \blue{ \sf{ {5}^{ - 3} \times {5}^{3} \times {2}^{4} \times {2}^{ - 5}}}} \)

This is in the form of \({ \red{ \sf{ {a}^{m} \times {a}^{n} = {a}^{m + n}}}} \)

\({ \blue{ \sf{ {5}^{ - 3 + 3} \times {2}^{4 + ( - 5)}}}} \)

\({ \blue{ \sf{ {5}^{0} \times {2}^{4 - 5}}}} \)

\( { \blue{ \sf{0 \times {2}^{ - 1}}}} \)

\({ = \blue{ \sf{0}}}\)

Any number which is multiplied with zero is zero itself.