Identify the graph of (x+ 3)^2- 4y for T (-7.2) and write and equation of the translated or rotated graph in general form.

Answer:

Step-by-step explanation:

Multiplying powers with same base:

Multiplying powers with same exponent but different base:

The Dilation factor is greater than 1, hence the Dilation is an enlargement.

Dilation occurs when an object changes position in an xy plane.

To get the scale factor of an image, we will take the ratio of the sides.

dilation factor = N'R'/NR

Given the following parameters

N'R' = 6

NR = 3

Dilation factor = 6/3

Dilation factor = 2

Since the Dilation factor is greater than 1, hence the Dilation is an enlargement.

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Answer:

b, d, e

Step-by-step explanation:

\(\large \mathfrak{Solution : }\)

From the above statement we can assume an angle and its complement as x and (90° - x)

now, it's goven that the angle and it's complement are equal, so

i hope it helped...

Let the angle be x

ATQ

\(\\ \sf\longmapsto x=90-x\)

\(\\ \sf\longmapsto x+x=90\)

\(\\ \sf\longmapsto 2x=90\)

\(\\ \sf\longmapsto x=\dfrac{90}{2}\)

\(\\ \sf\longmapsto x=45\)

The car costs $0.1304 for one mile.

Given, a car costs $3.26 for 25 miles. Let x be the cost of the car per mile.

Then, the cost of the car for one mile is x dollars.

So, the cost of the car for 25 miles is 25x dollars.

As per the given data, the cost of the car for 25 miles is 3.26 dollars.

Therefore, we get the equation as:

25x = 3.26 On dividing both sides by 25, we get x = 0.1304 dollars. Thus, the car costs $0.1304 for one mile.

We have to find the cost of the car for one mile.

So, let x be the cost of the car per mile. Then, the cost of the car for one mile is x dollars.

The cost of the car for 25 miles is 25x dollars.

As per the given data, the cost of the car for 25 miles is 3.26 dollars.

25x = 3.26On dividing both sides by 25, we get

x = 0.1304 dollars

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Answer:

The bottom right

Step-by-step explanation:

A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. Meaning no x values repeat. An easy way to test this is if you draw a vertical line anywhere it will only intersect with the function once.

This is because it is not possible to pass a vertical line through more than one point on the curve.

For the top right and bottom left corners, we can pass a vertical line through more than one point on the curve, so they fail the vertical line test. We can rule these choices out.

Any vertical line itself is not a function. A function is only possible if any x input leads to exactly one y output.

Answer:

\( x = 18 \)

\( y = 7.5 \)

\( z = 7 \)

Step-by-step explanation:

✍️\( (8x - 7) + (3x - 11) = 180 \) (consecutive interior angles are supplementary)

Solve for x

\( 8x - 7 + 3x - 11 = 180 \)

Add like terms

\( 11x - 18 = 180 \)

Add 18 to both sides

\( 11x = 180 + 18 \)

\( 11x = 198 \)

Divide both sides by 11

✅\( x = 18 \)

✍️\( (2y + 23) = (4y + 8) \) (alternate interior angles are congruent)

Solve for y

\( 2y + 23 = 4y + 8 \)

Collect like terms

\( 23 - 8 = 4y - 2y \)

\( 15 = 2y \)

Divide both sides by 2

✅y = 7.5

✍️\( (2y + 23) + (3z^2 - 5) = 180 \) (linear pair angles)

Plug in the value of y

\( (2(7.5) + 23) + (3z^2 - 5) = 180 \)

\( (15 + 23) + (3z^2 - 5) = 180 \)

\( 38 + 3z^2 - 5 = 180 \)

Add like terms

\( 3z^2 + 33 = 180 \)

Subtract 33 from each side

\( 3z^2 = 180 - 33 \)

\( 3z^2 = 147 \)

Divide both sides by 3

\( z^2 = \frac{147}{3} \)

\( z^2 = 49 \)

Square both sides

\( \sqrt{z^2} = \sqrt{49} \)

\( z = 7 \)

The probability to answer 5 questions correctly from 14 true or false questions is 0.1222

The given situation represents a binomial experiment, where there are only two possible outcomes for each trial: success (answering correctly) and failure (answering incorrectly). To find the probability of a particular number of successes, we use the binomial probability formula:

P(x)= nCx × p^x × q^(n-x)

Where, n is the total number of trials, p is the probability of success on each trial, q is the probability of failure on each trial (1-p), and x is the number of successes desired.

n = 14 (total number of questions)

p = 1/2 (probability of answering correctly when guessing randomly), and q = 1/2 (probability of answering incorrectly when guessing randomly).

To find P(5), we substitute these values in the formula

P(5) = 14C5 * (1/2)^5 * (1/2)^9= 2002 * (1/32) * (1/512)= 2002 / 16384≈ 0.1222

Therefore, the answer is option D, 0.1222.

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The value of the lower class limit of the 3rd class is; 11.0

The lower class limit is lowest value of that class interval while upper class limit is highest value of that class interval.

Hours Number of Students

0.0–5.4         12

5.5–10.9         16

11.0–16.4         14

16.5–21.9 11

22.0–27.4 6

Now, the third class interval is 11.0–16.4 and from definition of lower class limit, we can say that the lower class limit of the 3rd class is; 11.0

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Answer:

x > 4 and x <3

Step-by-step explanation:

Given the system of inequalities

2x – 5 > 3 or 11 – 3x > -2

for 2x – 5 > 3

2x > 3+5

2x>8

x>8/2

x> 4

For 11-3x > -2

-3x > 2-11

-3x > -9

x < -9/-3

x<3

hence the result will be x > 4 and x <3

The difference between these two values will give us the mass of solid sugar that came out of solution upon cooling to 20°C.

(a) To determine how much sugar will dissolve in 1000 g of water at 80°C, we need to find the point on the sugar-water phase diagram that corresponds to these conditions. At this point, the curve separating the liquid and solid phases (called the solubility curve) indicates the maximum amount of sugar that can be dissolved in the water at that temperature.

Once we have identified this point, we can read off the corresponding sugar concentration in the liquid phase. This will give us the maximum amount of sugar that can be dissolved in 1000 g of water at 80°C.

(b) When the saturated liquid solution in part (a) is cooled to 20°C, some of the sugar will precipitate as a solid. This means that the composition of the remaining liquid phase will be different from its composition at 80°C.

To determine the new composition, we need to find the point on the phase diagram that corresponds to 20°C and the sugar concentration we found in part (a). This point will lie on the solubility curve, which separates the liquid and solid phases at 20°C.

Once we have identified this point, we can read off the corresponding sugar concentration in the liquid phase. This will give us the composition of the saturated liquid solution at 20°C.

(c) The amount of solid sugar that comes out of solution upon cooling to 20°C can be calculated using the mass balance equation:

mass of solid sugar + mass of dissolved sugar = total mass of sugar

At 80°C, we found the maximum amount of sugar that can be dissolved in 1000 g of water. We can use this value to calculate the mass of dissolved sugar at 80°C. Then, at 20°C, we can use the composition we found in part (b) to calculate the mass of dissolved sugar in the saturated liquid solution.

The difference between these two values will give us the mass of solid sugar that came out of solution upon cooling to 20°C.

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Answer: how many square feet are there? multiple each square foot by 2

Step-by-step explanation:

The Domain of the function is given as 2, 6 and 3 ≤ x ≤ 5.

Given that,
A graph of the function is shown, we have to determine the domain of the graph,

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

here,
The function is defined on the values of x, as 2, 6 and from 3 to 5,
So the domain of the function is said to be as 2, 6 and 3 ≤ x ≤ 5.

Thus, the Domain of the function is given as 2, 6 and 3 ≤ x ≤ 5.

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While measuring mass of precious substances, such as gold, silver, etc., we need to be accurate in our measurement. in competitions and events, a difference of second can make you lose or win the game. Thus, accurate time measurement in such cases is very important.

Precision measures the reproducibility of measurements, even when they are far from the acceptable value, whereas accuracy measures how near a measurement is to a known or accepted value. Repeatable measurements that are reliable and precise are extremely near to the real values.

How closely a measured value resembles the real (or "true") value is referred to as accuracy. For instance, an accurate reading for the weight would be as near to 100g as feasible if you weighed a typical 100g weight on a scale.

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Answer:

9m^4-7m^3-6

Step-by-step explanation:

Answer:

So here we have 3 adjacent angles, and add them all up they would equal a right angle as shown in the diagram.

POT is the right angle which can be seen by the square

POQ is the first angle

QOS is the second

SOT is the third

Now solve it.

We know that it has to be equal to 90 since thats the final reasoning.

4a + 20 + 3a - 10 + a = 90

Solve.

So you’d get 10.

If you want to elaborate then just say all adjacent angles has to add put o 90 since

A number that represents the property of the sample is the statistics.

Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.

'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.

Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.

Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.

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Given the standard deviation of 1, If Kayden were to run 37 practice trials, of the 400 meters dash, 84%  would be slower than 88 seconds.

The following information is given:

Kayden runs the 400-meter dash, his finishing times are normally distributed with a mean of 90 seconds and a standard deviation of 1 second;

Mean (μ) = 90

Standard deviation (σ) = 1

We are supposed to find Kayden were to 37 practice trials of the 400-meter dash, how many of those trials would be faster than 88 seconds, to the nearest whole number i.eP (x < 88)

z = (x - μ) /σ

z = 88 - 90/1

z = -2

We must refer to the z table for the value of P; where

p (x < 88) = 0.0228

Recall that Kayden was to run 37 practice trials. hence

P (x < 88) = 37 * 0.0228

= 0.8436

Therefore, to the nearest whole number, we can state that 84% would be faster than 88 seconds.

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The quotient of 3/2 divided by 2 is 3/4.

To find the quotient of 3/2 divided by 2, you need to perform the division operation.

3/2 ÷ 2

To divide fractions, you can multiply the numerator of the first fraction by the reciprocal of the second fraction.

3/2 ÷ 2 = (3/2) * (1/2)

Multiply both the numerators (3 * 1) and the denominators (2 * 2) separately, we get the following equation:

= (3 * 1) / (2 * 2)

= 3/4

Therefore, the quotient of 3/2 divided by 2 is 3/4.

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Answer:

70

Step-by-step explanation:

167-97 = 70

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Answer:

To find the probability of selecting two Cherry Starbursts consecutively, we need to consider the total number of Starbursts in the bag and the number of Cherry Starbursts.

Total number of Starbursts in the bag = 3 (Strawberry) + 5 (Lemon) + 4 (Orange) + 3 (Cherry) = 15

Number of Cherry Starbursts = 3

When Derek selects the first Starburst, he has a 3 out of 15 chance of selecting a Cherry Starburst.

After consuming the first Starburst, there are 14 Starbursts left in the bag, with 2 Cherry Starbursts remaining.

Therefore, the probability of selecting a Cherry Starburst on the second try, given that the first one was eaten, is 2 out of 14.

To find the probability of both events happening together (selecting a Cherry Starburst and then another Cherry Starburst), we multiply the probabilities:

(3/15) * (2/14) = 6/210

Simplifying the fraction, we get:

6/210 = 1/35

So, the probability that Derek selects two Cherry Starbursts consecutively is 1 out of 35.

Answer:

the slope of the equation

Step-by-step explanation:

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

Answer:

6 quarters, 4 dimes, and 2 nickels

Answer:

A

Step-by-step explanation:

1500 goats represent 100%

                              but 100% = 5*20%

1500 = 5*300 so 20% =300

a decrease by 20% is 1500-300 = 1200

The angle formed by a secant and tangent line is GSE (Given-Secant-Exterior).

A tangent is a straight line or curve that touches a given curve exactly once but does not cross it. The tangent is a fundamental concept in geometry and calculus that is used to study the behavior of functions at a specific point.

An external angle is the angle formed by a secant and tangent line at a point on a circle. The abbreviation for this angle is EGS (External Angle-Secant-Tangent).

A secant line intersects a circle at two points, whereas a tangent line intersects the circle at only one. The external angle is formed at the point of tangency by the intersection of the secant and tangent lines outside the circle.

Full question.

Which angle is formed by a secant and tangent line?

A) ANG

B) GSE

B) EGS

C) NGL

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The scale factor of the given parameters will be 1.75 and the length of qy is 2.37.

We have,

Point q as the center of dilation,

And,

Line wy is dilated to created line w'y',

And,

Length of yw' = 3.5,

And,

Length of qw = 2,

Also,

Length of qy' = 4.125,

Now,

First we will find out the length of qy,

i.e.

The lines are similar so in equal ratio,

i.e.,

qw : qy = qw' : qy'

Now,

Putting values,

i.e.

2 : qy = 3.5 : 4.15

on solving we get,

qy = 1.5

So,

The length of qy is 2.37.

Now,

Scale factor : Scale Factor is the ratio of size of new image formed to the size of old image.

i.e.,

Scale factor = \(\frac{Change\ in\ size}{Original\ size}\)

So,

Scale factor = \(\frac{3.5}{2}\) = 1.75

Hence, we can say that the scale factor of the given parameters will be 1.75 and the length of qy is 2.37.

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Answer:

it is 2.75. and 1.5

Step-by-step explanation:

right on edge

For the equation (x+4)(x−9)=0, the appropriate technique to use is factoring.

For the equation 4x² = 20, the appropriate technique to use is isolating the variable.

Answer:

4

Step-by-step explanation:

0.4*10=4

3. What is the Constitution's Nickname?

Step-by-step explanation:

old ironsides

Answer:

4 years

Step-by-step explanation:

$42 interest every year
168/42 = 4
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