Answer to number 16 please

Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.

The only graph that represents a function is: Graph D

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

Read more about function description at: https://brainly.com/question/24057830

#SPJ1

Answer:

72 pie square inches

Step-by-step explanation:

size of Miles pize=144 pie square inches

james pize is half of Mike=144 pie square inches/2

=72 pie square inches

Answer:

The quotient becomes smaller than the dividend.

Step-by-step explanation:

Answer:

ans: it's order wise

a) yes

b) no

c) no

d) no

Step-by-step explanation:

use pythagoras theorem

h² = p² + b²

data given satisfying the theorem form right angled triangle

Answers:

5)

a.Highest- 96

Lowest-52

b.74

c. 70-80

d. 13

e. 7

6)

a. 89%

b. 51%

c. In the morning(89%)

Answer:

15 and 13

Step-by-step explanation:

The order in which the sides are listed does not matter for the SSS criterion. As long as the three sides of one triangle have the same lengths as the three sides of another triangle, the triangles are congruent.

SSS stands for Side-Side-Side, which is a congruence criterion in geometry. It states that if the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

To explain why the triangles in each pair are congruent using SSS:

Pair 1:

Triangle ABC and Triangle DEF are congruent because they have the same lengths for all three sides.

AB = DE

BC = EF

AC = DF

Pair 2:

Triangle PQR and Triangle STU are congruent because they have the same lengths for all three sides.

PQ = ST

QR = TU

PR = SU

The order in which the sides are listed does not matter for the SSS criterion. As long as the three sides of one triangle have the same lengths as the three sides of another triangle, the triangles are congruent.

for such more question on congruent.

https://brainly.com/question/20404413

#SPJ11

The distance of the base of the ladder from the base of the building is equal to 8.17 ft to the nearest tenth using the trigonometric ratio of sine of the angle 65°

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

we shall represent the distance of the base of the ladder from the base of the building with the letter x so that:

sin 65° = x/9 ft {adjacent/hypotenuse}

x = sin 65° × 9 ft

x = 8.1568

Therefore, the distance of the base of the ladder from the base of the building is equal to 8.17 ft to the nearest tenth using the trigonometric ratio of sine of the angle 65°.

Know more about trigonometric ratio here:https://brainly.com/question/23130410

#SPJ1

Answer:

Her next step would be to add 12 to both sides of the equation

Step-by-step explanation:

Which would make the equation 4x=28

Then you divide both sides by 4 giving you x=7

Answer:

the answers are c an d

Step-by-step explanation:

becuz they are

Step-by-step explanation:

The average intensity of radiation between 10 meters and 50 meters from the source can be found using the following formula:

Average Intensity = (1 / (50 - 10)) * (Integral of r(x) from x=10 to x=50)

Using the formula for r(x), the integral of r(x) between 10 and 50 can be found as:

Integral of r(x) = -k * ln(x) evaluated at x = 50 and x = 10

Therefore, the average intensity of radiation between 10 and 50 meters from the source is given by:

Average Intensity = (1 / (50 - 10)) * (-k * (ln(50) - ln(10)))

This simplifies to:

Average Intensity = (1 / 40) * (-k * ln(5))

This is equivalent to choice c.

Average Intensity = 1/40 (-k/50 + k/10).

Answer:

\(\frac{dh}{dt}=1.45cmsec^{-1}\)

Step-by-step explanation:

Rate of Water Fill \(R=\frac{dv}{dt}=70cm^3\)

Length \(l=8cm\)

Height \(H=15cm\)

Water level \(L_w= 4cm\)

Generally the equation for relationship b/w h and a is mathematically given by

Since by the properties of similar triangles

 \(k=\frac{h}{1/2}\)

Let

 \(h=15cm \\\\a=8cm\)

 \(k=\frac{h}{1/2a}\)

 \(k=\frac{15}{4}\)

Therefore

 \(\frac{h}{1/2a}=\frac{15}{4}\)

 \(a=\frac{8h}{15}\)

Generally the equation for volume of Pyramid is mathematically given by

 \(V=\frac{1}{3}ah^2h\)

Subsitute a

 \(V=\frac{1}{3}(\frac{8h}{15})h^2h\)

Therefore

 \(\frac{dv}{dt}=\frac{(\frac{1}{3}(\frac{8h}{15})h^2h)}{dt}\)

 \(\frac{dv}{dt}=\frac{64}{255}(h^2\frac{dh}{dt})\)

Since

 \(\frac{dv}{dt}=70cm^3s^{-1}\)

Therefore

 \(70cm^3s^{-1}=\frac{64}{255}(h^2\frac{dh}{dt})\)

 \(\frac{dh}{dt}=\frac{70}{169}*\frac{225}{64}\)

 \(\frac{dh}{dt}=1.45cmsec^{-1}\)

The measure of each inscribed angle at T and S is 72.5 degrees, and the sum of their measures is: 145 degrees

What is inscribed angle ?

An inscribed angle is an angle formed by two chords of a circle that have a common endpoint on the circle. The vertex of the inscribed angle is on the circle, and the sides of the angle intersect the circle at two distinct points.

There are some important properties of inscribed angles:

According to the question:
If the inscribed angles of T and S intercept the same arc, then they must be equal in measure. Let's call the measure of each angle x.

Since the sum of the measures of the angles in a triangle is 180 degrees, we can set up an equation to find the measure of the third angle in triangle TSY:

x + x + measure of angle YTS = 180 degrees

Simplifying the equation, we get:

2x + measure of angle YTS = 180 degrees

But we know that the measure of angle YTS is equal to half the measure of arc YZ, since it is an inscribed angle intercepting the same arc. So:

measure of angle YTS = 1/2 * measure of arc YZ = 1/2 * 70 degrees = 35 degrees

Substituting this value into our equation, we get:

2x + 35 degrees = 180 degrees

Solving for x, we get:

2x = 145 degrees

x = 72.5 degrees

Therefore, the measure of each inscribed angle at T and S is 72.5 degrees, and the sum of their measures is:

72.5 degrees + 72.5 degrees = 145 degrees

To know more about inscribed angle visit:
https://brainly.com/question/15899344
#SPJ1

The dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

A box plot, sometimes called a box whisker plot, shows the distribution of a dataset graphically. The minimum value, the first quartile (25th percentile), the median (50th percentile), the third quartile (75th percentile), and the maximum value are the five main values used to standardise this method of displaying the distribution of data.

Two whiskers that extend from a rectangular box make up a box plot. The range of values between the first and third quartiles is represented by the box, which is known as the interquartile range (IQR).

From the given box plot we observe that the minimum value is 12 and the maximum value is 24.

Here, the median is 19.

From the information the two data set that have the corresponding values are:

12, 15, 15, 17, 19, 19, 20, 22, 24

12, 15, 17, 17, 19, 19, 22, 22, 24

The lower quartile is 15.

The upper quartile is 21.

Calculating the lower quartile for the data sets:

12, 15, 15, 17, 19, 19, 20, 22, 24

Lower quartile = 15

Hence, the dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

Learn more about box plot here:

https://brainly.com/question/1523909

#SPJ1

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer:

is this a multiple-choice question?

Step-by-step explanation:

**i'll go back and change my answer, i promise**

Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.

The units-of-activity method is one of the depreciation methods in use.

Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.

The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.

Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)

Expected total miles for Bus #3 = 125,000

Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)

Learn more about determining the depreciation expense per unit at https://brainly.com/question/22077069.

#SPJ1

Bus    Acquired    Cost    Salvage    Useful Life     Depreciation
                                          Value         in Years          Method

1          1/1/12      $99,100   $7,900           4             Straight-line

2         1/1/12      128,000     11,000          4             Declining- balance

3         1/1/13       66,350      8,800          5             Unit-of-activity

The range of whole numbers between which the decimal falls is 0 yards to 1 yard.

The whole number is set to positive integers including 0. i.e 0, 1, 2, 3, and so on.

To find the total amount of fabric Mary Beth needs to make a pillow, we first need to convert 7/12 yards into a decimal. To do this, we can divide the numerator by the denominator:

7/12 = 7 / 12 = 0.5833...

So, Mary Beth needs approximately 0.5833 yards of fabric to make a pillow.

To determine the range of whole numbers between which the decimal falls, we can round up to the next whole number (1 yard) and round down to the previous whole number (0 yards). Therefore, the range of whole numbers between which the decimal falls is 0 yards to 1 yard.

Learn more about whole numbers here:
https://brainly.com/question/925322
#SPJ9

The original price of the car is $15,000

Let us assume the original price of car be x. So, forming the equation to find the value of x and hence the original price of the car.

Equation -

x - 20% × x = 12000

x - 20/100×x = 12000

Cancelling zero as common in both numerator and denominator, on the left hand side of the equation

x - x/5 = 12000

Taking LCM on Left Hand Side of the equation

(5x - x)/5 = 12000

Rewriting the equation

4x = 12000 × 5

Performing multiplication on Right Hand Side of the equation

4x = 60,000

x = 60,000 ÷ 4

Performing division

x = 15,000

Therefore, the original price of the car is $15,000.

Learn more about equations -

https://brainly.com/question/25896797

#SPJ9

Answer:

$56.86

Step-by-step explanation:

volume of cone approximately is 151 cubic inch

answer ?

30 or 30W

Step-by-step explanation:

this isn't a real equation. you can't have an equal sign inside a parentheses but assuming that the question is 6(W) and W equals 5, we can substitute the 5 and distribute the 6 to get 6x5 = 30

Answer:

123 + (456 + 789)

Step-by-step explanation:

since this is an addition problem, the parenthesis don't matter, and they can be put wherever you want.

(123 + 456) + 789

123 + 456 + 789

(123 + 456 + 789)

123 + (456 + 789)

technically, any of these would work, but I think the kind of answer the problem is looking for is;

123 + (456 + 789)

Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

The scale factor is: 1.8

because of :

\(\frac{36}{20}=1.8\\ \\\\\frac{25.2}{14}=1.8\)

Answer:

here's the graph

Step-by-step explanation:

Answer:

(ex1)

Domain: 1 ≤ x ≤ 5

Range: 11 ≤ y ≤ 13

(a)

Domain: 2 ≤ x ≤ 6

Range: 0 ≤ y ≤ 4

(b)

Domain: -3 ≤ x ≤ 4

Range: -2 ≤ y ≤ 6

Step-by-step explanation:

The domain is the set of values that x can take, and the range is the set of values that y can take. So to determine each one, read the maximum and minimum values possible for each.

Answer:

164 m^2

Step-by-step explanation:

You can think of the shaded area in different ways. One of the ways is the entire outer colored rectangle minus the area of the small white rectangle inside.

The large colored rectangle is 12 m by 15 m.

The inner rectangle is 8 m tall. The width is 12 m - 5 m - 5 m = 2 m

A = 12 m * 15 m - 2 m * 8 m

A = 180 m^2 - 16 m^2

A = 164 m^2

Answer:

-7<-3

Step-by-step explanation:

T=-7

R=-3

The sketch of the front elevation and the side elevation of the prism are added as an attachment

From the question, we have the following parameters that can be used in our computation:

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

Read more about prism at

brainly.com/question/23178481

#SPJ1