What is the slope of the line ?
:)

Answer:

$12.25

Step-by-step explanation: you just do it.

Answer:

x=27/10

Step-by-step explanation:

move all the terms not containing x to the right side of the equation

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:12/16

Step-by-step explanation:

The probability that a female student has an A in the class is 0.8 or 80%.

To calculate the probability that a student has an A given that the student is female, we can use the formula for conditional probability:

\(P(A|F) = \dfrac{P(A U F)} { P(F)}\)

where P(A|F) is the probability of having an A given that the student is female, P(A and F) is the probability of being both female and having an A, and P(F) is the probability of being female.

We are given that there are 25 students in the class, 15 of whom are female and 16 of whom have an A. We are also given that there are 12 students who are both female and have an A.

Using this information, we can calculate the probabilities as follows:

P(F) = 15/25 = 0.6

P(A and F) = 12/25

The probability that a student has an A given that the student is female is:

\(P(A|F) = \dfrac{P(A U F)} {P(F)} \\P(A|F) = \dfrac{\dfrac{12}{25} }{ (\dfrac{15}{25})} \\P(A|F)= 0.8\)

The probability is 80%.

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The speed that Ryan drove on vacation, based on the table on the cumulative distance and the hours driven, was C. 63 miles per hour

The speed that Ryan was driving at, can be found by the formula for speed which is Distance divided by time.

As there are different times and distances given, find the speeds that he drove at during these different times. If the speed is the same, then this is the speed that Ryan drove at.

Speed at 3 hours:

= 189 / 3

= 63 miles per hour

Speed at 4 hours:

= 252 / 4

= 63 miles per hour

Speed at 7 hours:
= 441 / 7

= 63 miles per hour

The speed that Ryan drove at was 63 miles an hour.

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The variable a log of all the ages in years  is best described as quantitative and continuous.

As we know the variables are classified as qualitative and quantitave.

The quantitative variables are further classified as: discrete and continuous.

A discrete variable is a variable that can only take specific numeric values but values have a clear quantitative interpretation.

This variable takes the values that are countable and have a finite number of values.

In case of  continuous quantitative variable, it can take any value in an interval.

The values of  continuous quantitative variable are not countable and they have an infinite number of possibilities.

As we know the age is a discrete variable as it is commonly expressed as an integer.

Here, a demographer they keep a log of all the ages in years.

So, variable is continuous variable.

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In this problem, we have that

mYO ≅ XO

The third pair of congruent parts is

m by vertical angles

therefore

triangle YOT ≅ triangle XOB ----> by ASA congruence postulate

Answer is ADEF

Given that, two right tringle = R + ΔHEL , R +ΔPME

Hypotenuse equal , A set of corresponding right angles are equal.{HL};

LL=LE

So ∠E(M tringle HEL)∠LM (M tringle PME)

∠H=∠P 90°

∠L=∠E                        ⇒AAS

HE PM or LE =EM

∠E = ∠M

EL = ME                      ⇒ASA

∠L = ∠E

HF = PM

∠E = ∠M                       ⇒SAS

EL = ME

Hence choose A.D.E.F

{Determination of congruence of right tringle }

explanation of  Determination of congruence of right tringle

A plane figure bounded by three finite line segments to form a closed figure is known as a triangle. A right-angled triangle is a special case of the triangle. In a right-angled triangle, one of the interior angles measures 90°. Two right triangles are said to be congruent if they are of the same shape and size. In other words, two right triangles are said to be conger

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Answer:

x = 1,6 in   ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in          w  =  8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x )    and    ( w - 2*x )     and   x is the height

( 12  -  2*x )  and  ( w  - 2*x )

V(ob) = (L - 2*x ) * (  - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0     12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10       We dismiss this solution since 2*x  becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x     ;  a =  12 - 3,20  ;  a = 8,8 in

b = 8 - 2*x   ; b = 8 - 3,20  ; b =  4,80  in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max)  =  67,58 in³

How do we Know that is the maximun value for V?

We find  V´´(x)  = 24*x - 80     for  x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has  a local maximun for a value of x = 1,6

Answer:

B

Step-by-step explanation:

You need to shift the graph of cos  UP >1   or DOWN > 1  to get no x -axis intercepts  so  answer B  depicts the value of c

Answer:

See attachment for what the graph looks like.

Step-by-step explanation:

When you graph these equations, convert 4x+8y=16 into slope-intercept form, which should be y= -1/2x+2.

In this case, 2 is the y-intercept, the part of the line that intercepts with the y-axis, with a negative (goes downward) slope of 1/2.

The line should intersect at (0,2) and have a slope of -1/2.

The x-intercept of the line is at 4 and the y-intercept of the line is at 2. Then the graph is sketched below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and 'b' is the y-intercept of the line.

The equation of the line is given below.

4x + 8y = 16

Convert the general form of the line into an intercept form. Then we have

4x + 8y = 16

x/4 + y/2 = 1

The x-intercept of the line is at 4 and the y-intercept of the line is at 2. Then the graph is sketched below.

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Answer:

39.6/8 = 4.95

Step-by-step explanation:

The equation is y =  \(\frac{1}{4}\)x + 37

74.5 warm is it when the crickets are chirping 150 times a minute.

Let

x = chirps, y = degrees

When crickets chirp 124 times a minute, it is about 68 degrees Fahrenheit.

So when x = 124, y = 68.  So the graph of the equation contains the point

(124,68)

When they chirp 172 times a minute, it is about 80 degrees Fahrenheit.

So when x = 172, y = 80.  So the graph of the equation contains the point

(172,80)

We assume the graph of the equation is a straight line.

So we use the slope formula to find the slope of the line

m = \(\frac{y2 - y1}{x2 - x1}\)

m = \(\frac{80-68}{172-124}\)

m = \(\frac{12}{48}\)

m = \(\frac{1}{4}\)

We use the point-slope equation:

y - y1 = m(x - x1)

y - 68 =  \(\frac{1}{4}\)(x - 124)

y - 68 =  \(\frac{1}{4}\)x -  \(\frac{1}{4}\)(124)

y - 68 = \(\frac{1}{4}\)x - 31

y =  \(\frac{1}{4}\)x + 37

Substitute x = 150:

y =  \(\frac{1}{4}\)(150) + 37

y = 37.5 + 37

y = 74.5

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Answer: KL = KN LM=NO=9 Side-Side-Side

Step-by-step explanation:

The required answers to the question is given below.

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.

Use the following figure to understand the answer.

The Proof is

1. KM=KO=5 (GIven)

2. MN=3 (Given)

3. KN=KM+MN=8 (because the lengths are equal to the sum of their parts.)

4. KL=8 (Given)

5. KL=KN (from 3,4 substitution)

6. NO=ML=9 (Given)

7. ΔKLM=ΔKNO the congruence criterion used is SSS congruence.

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Answer:

1 out of 6

Step-by-step explanation:

Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.

Using supplementary angles, and the sum of the internal angles of a triangle, the measures are given as follows:

<xyz = 108º and <yxz = 60º, first option.

To find the measure of <yxz, we have to consider that each angle is supplementary with it's external angle, that is, the sum of their measures is of 180º.

From the image, the external angle of <yxz is of 120º, hence:

<yxz + 120º = 180º.

<yxz = 60º.

To find the measure of angle xyz, we have to consider that the sum of the internal angles of a triangle is also of 180º, hence, considering the given angle and the angle found at the previous step, we have that:

<xyz + 60º + 12º = 180º

<xyz + 72º = 180º

<xyz = 108º.

Hence the first option is correct for the measures of the angles.

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Answer:

one side is 137/4 and other is 3/4

Step-by-step explanation:

all steps are in picture

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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The swimming pool can hold a volume of 3.456 cubic meters of water.

The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.

However, it is important to note that the depth should be converted to meters before performing the calculation.

To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):

Depth = 1.8 cm ÷ 100 = 0.018 m

Now we can calculate the volume of water using the formula:

Volume = Base Area × Depth

Substituting the given values, we get:

Volume = 192 m² × 0.018 m = 3.456 m³

Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.

In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.

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Answer:

2 feet and one inch left of the original ribbon

1) The volume of the first rectangular prism is 175 ft³

2) The volume of the second rectangular prism is 60ft³

3) The volume of the third rectangular prism 140ft³

4) The volume of the Fourth rectangular prism 216ft³

Note that in order to find the volume of area of a complex figure, you must deconstruct it into manageable proportions.

Shape 1 above, we deconstructed the rectangular prism into two 3 dimensional shapes with the following metrics:

a)

Length = 7ft

Height = 2ft

widht = 2ft

Volume = Volume = 7ft x 2ft x 2ft
Volume = 28  ft³

b)

Length = 7ft

Height = 3ft

width = 7ft
Volume = 147 ft³

Total Volume = 28  ft³ + 147 ft³

Volume for Shape 1 = 175 ft³

Shape 2 above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:

a) Length = 3ft

Height = 2ft

width = 1ft

Volume = 6 ft³

b) Length = 6ft

Height = 3ft

width = 3ft

Volume = 54 ft³

Thus, total volume for shape 2 is:

Volume = 6 + 54

Volume = 40 ft³

Shape 3, above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:

a) Length = 7ft

Height = 1ft

width = 2ft
Volume = 14ft³

b)
Length = 7ft

Height = 3ft

width = 6ft
Volume = 126ft³

Thus, the total volume fior shape 3, =

Volume = 14ft³ + 126ft³

Volume = 140ft³


Shape 4, above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:

a) Length = 4ft

Height = 3ft

width = 2ft
Volume = 24 ft³


b) Length = 4ft

Height = 12ft

width = 4ft
Volume = 192 ft³

Thus, the total volume for Shape 4:

Volume =  24 ft³+ 192 ft³
Volume = 216ft³

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That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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The inverse function of C(t) is C⁻¹ (t) = (27.5 - t) / 3.5, then no available option is the inverse function of C (E).

From the case, we know that function C is:

C(t) = -3.5t + 27.5

To find the inverse function of C(t), we need to subtitute C(t) with y and try to find the function of t:

y = -3.5t + 27.5

3.5t = 27.5 - y

t = (27.5 - y)/3.5

We subtitute t with C⁻¹ (t) and y with t:

C⁻¹ (t) = (27.5 - t) / 3.5

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Answer:

..............

Step-by-step explanation:

33689

Answer:

Just add 5 to the other side

Step-by-step explanation:

x < 9

The slope of a line that passes through the points (1,−2) and (2,2) is 4.

The two given points are (1,-2) and (2,2).

We have to find out the slope of the line that passes through the two given points.

We know that the slope of a line passing through two points (\(x_{1} ,y_{1}\)) and (\(x_{2} ,y_{2}\)) is -

\(m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

Using this formula for the given points (1,-2) and (2,2), we can find out the slope of the line passing through them as -

\(m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\= > m = \frac{2-(-2)}{2-1}\\ = > m = \frac{4}{1}\\ = > m = 4\)

Thus, the slope of a line that passes through the points (1,−2) and (2,2) is 4.

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