Solve for e:
-13 + 7e = -3e - 33

The z-score for the lowest final grade for a freshmen is given as follows:

Z = -1.83.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 74.38, \sigma = 4.445, X = 66.25\)

Hence the z-score for the lowest final grade for a freshmen is obtained as follows:

Z = (66.25 - 74.38)/4.445

Z = -1.83.

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Answer: Hi!

Option I is correct. 3(2x + 4) = 6x + 12

When you use the distributive property, you multiply the term outside of the parentheses (in this case, 3) by the terms inside of the parentheses (in this case, 2x and 4.)

Hope this helps!

Yes, the proof of congruence of two triangles ∆ABC ≅ ∆GHF is possible.

The convergence method which proves this congruence is SSS(side-side-side) congruence.

We have given the sketch of two triangles as seen above. We have to prove ∆ABC ≅ ∆GHF

Now , AB = √(-7+7)² + 5² = 5 in triangle ABC and FG = 5 in triangle FGH,

so, AB ≅ FG

Because AC = 3 in triangle ABC and FH = 3 in triangle FGH,

so, AC ≅ FH

To find the lengths of BC and GH , we can use distance formula.

Length of BC :

BC = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = B(-7, 0) and (x₂, y₂) = C(-4, 5).

BC = √[(-4 + 7)² + (5 - 0)²]

= √[32 + 52]

= √[9 + 25]

= √34

Length of GH :

GH = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = G(1, 2) and (x₂, y₂) = H(6, 5).

GH = √[(6 - 1)² + (5 - 2)²]

= √[52 + 32]

= √[25 + 9]

= √34

Conclusion :because BC = √34 and GH = √34,

=>BC ≅ GH

All the three sides of one triangle is congruent to the corresponding sides of other triangle.

By SSS congruence postulate,

ΔABC ≅ ΔFGH

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Answer:

9.8

Step-by-step explanation:

x1 = 8 x2 = 4 y1 = -3 y2 = 6

\(\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}\)

\(\sqrt{(4 - 8)^{2}+(6 - -3)^{2}\)

= 9.8488

= 9.8

A graph of the cube root function g(x) = 1/2x³ is shown in the image below.

In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.

When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;

g(x) = kf(x)

g(x) = 1/2f(x)

g(x) = 1/2x³.

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Answer:

648π cm³

Step-by-step explanation:

Hi there!

The formula to find the volume of a cylinder is r²πh, where r is the radius, π is pi, and h is the height

first, let's find the area of the circle (r²π)

we are given that the radius is 9 cm

so we can square the 9, which is the same as multiplying it by itself

(9*9)=81π

Your answers leave everything in pi, so we can leave the area of the circle as is :)

now, multiply 81π by the height, which is given as 8 cm

81π*8=648π

therefore the answer is 648π cm³

Hope this helps!

photomath

Step-by-step explanation:

just use photomath

3.75 Quarts

Step-by-step explanation:

That is the exact answer I believe.

I checked many websites and they gave me the same answer

The solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two equations:

3x - 4y=12 and

2x+y=8

Multiplu by 4 on both side in equation  2x+y=8

8x + 4y = 32

Add the equaton 8x + 4y = 32 and 3x - 4y=12

3x - 4y=12

8x + 4y = 32

11x = 44

x = 4

Similarly, we can find the value of y:

y = 0

Thus, the solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0

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Answer:

e

Step-by-step explanation:

If you divide 36 by 12, you get 3.

For this to work, whatever the white wax is, it needs to be 3 times as more as 5.

5x3=15

Answer:

i’ve done this before

Step-by-step explanation:

E and D

for every 12ml of red wax there’s 5 ml of white wax right? so you just multiply them at the same number to see if it matches.

12 x 5 = 60

5 x 5 = 25

12 x 3 = 36

5 x 3 = 15

If the population of hamden was 350,000 in 1990. by 2000, the population had decreased to 329,000. The  percent of decreased is 6%.

To find the percent decrease, we first need to find the difference between the two populations:

Difference = 350,000 - 329,000

Difference = 21,000

Second step is to divide the difference by the original population and multiply by 100 to find the percentage:

Percent of decreased = (21,000 / 350,000) * 100

Percent of decreased = 6%

Therefore  the population of Hamden decreased by 6% between 1990 and 2000.

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The complete question is:

the population of hamden was 350,000 in 1990. by 2000, the population had decreased to 329,000. what percent of decreased is this?​

Standard Form: 2,016

Place Value: From left to right for 2,016

Digit Place Value

2 Thousands

0 Hundreds

1 Tens

6 Ones

Word Form:

2,016 =

two thousand sixteen

Answer:

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

Answer:

\(f(x) =2 {(x - 1)}^{2} + 3x - 7 \\ f(0) = 2{(0 - 1)}^{2} + 3(0) - 7 \\ f(0) = 2 {( - 1)}^{2} + 0 - 7 \\ f(0) = 2(1)- 7 \\ f(0) = 2 - 7 \\ f(0) = - 5 \)

__o_o__

\(f(x) = 2 {(x - 1)}^{2} + 3x - 7 \\ f( - 3) = 2 {( - 3 - 1)}^{2} + 3( - 3) - 7 \\ f( - 3) = 2 {( - 4)}^{2} - 9 - 7 \\ f( - 3) = 2(16) - 16 \\ f( - 3) = 32 - 16 \\ f( - 3) = 16\)

I hope I helped you^_^

Answer:

7

Step-by-step explanation:

Answer:

y = 5.2, x = 6

Step-by-step explanation:

to find y:

opposite/adjacent = tan(60)

y/3 = tan(60)

y = tan(60) * 3

y = 5.2

to find x:

adjacent/ hypotenuse = cos(60)

3/x = cos(60)

x = 3/cos(60)

x = 6

Answer: x = 4

Step-by-step explanation:

   Given:

3x - 1 = 11

   Add 1 to both sides of the equation:

3x = 12

   Divide both sides of the equation by 3:

x = 4

Answer:

what they currently going over?

Step-by-step explanation:

=99*9/11

- -

_____

=891/11

=81

Line m is not perpendicular to line p because their slopes are not opposing reciprocals.

Parallel and perpendicular lines

For two lines to be parallel, they must have the same slope and for them to be perpendicular, the product of their slope must be equivalent to -1.

Determine the slope of line m and line p

For the line m, we can use the coordinates (0, 4) and (-3, 2)

Slope = 2-4/-3-0

Slope = -2/-3

Slope of line m = 2/3

For line p

Using the coordinate points (-3, 6) and (0,1)

Slope =1-6 /0+3
Slope = -5/3

Since their slopes are not opposite reciprocals, hence the line m is not perpendicular to line p.

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Answer:

7= Hundredths

2=Thousandths

The required place of 7 and 2 in the given decimal value is the hundredth and thousandth.

Given that,
In the number 3.072 the digit 7 is in the place and the digit 2 is in the is to be determined.

Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,

Here,

Given decimal value = 3.072
Where after the decimal point 0 is at tenth position, 7 is at hundredth position and 2 is at thousandth positions.

Thus, The required place of 7 and 2 in the given decimal value is the hundredth and thousandth.

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Answer:

sensory measurement are lower after hypnotism

Step-by-step explanation:

Given the data :

Before 6.6 6.5 9.0 10.3 11.3 8.1 6.3 11.6

After 6.8 2.4 7.4 8.5 8.1 6.1 3.4 2.0

The difference ;

After - Before, d = 0.2, - 4.1, - 1.6, - 1.8, - 3.2, - 2, - 2.9, - 9.6

Hypothesis :

H0 : μd = 0

H0 : μ < 0

The test statistic ;

T = μd / sd/√n

Where, xd = mean of difference

sd = standard deviation of difference

n = sample size

Mean of difference, μd = Σx/n = - 3.13

Standard deviation of difference, sd = 2.91

T = - 3.13 / 2.91/√8

T = - 3.13 / 1.0288403

T = - 3.042

α = 0.01

The Pvalue using a Pvalue calculator ;

Degree of freedom, df = n - 1 ; 8-1 = 7

Pvalue(-3.042, 7) = 0.00939

Pvalue < α ; we reject the null and conclude that sensory measurement are lower after hypnotism

Answer:

4/1

Step-by-step explanation:

g is 4

Answer: image below

Step-by-step explanation:

Answer:

Perimeter = 30

Step-by-step explanation:

hypotenuse = \(\sqrt{5^2+12^2}\)

hypotenuse = \(\sqrt{25+144}\)

hypotenuse = \(\sqrt{169}\)

hypotenuse = 13

Perimeter = 5+12+13

Perimeter = 30

The sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

To prove that m∠D + m∠F = 180∘, we can use the property of angles inscribed in a circle.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Therefore, if we can show that arc DE + arc FG = 360∘, we can conclude that m∠D + m∠F = 180∘.

Let's start the proof:

1. Quadrilateral DEFG is inscribed in circle P. This means that all the vertices of the quadrilateral lie on the circumference of the circle.

2. Let's consider arc DE and arc FG. These arcs are intercepted by angles ∠D and ∠F, respectively.

3. By the property of angles inscribed in a circle, we know that the measure of an inscribed angle is equal to half the measure of its intercepted arc.

4. Therefore, m∠D = 1/2(arc DE) and m∠F = 1/2(arc FG).

5. We want to prove that m∠D + m∠F = 180∘. This is equivalent to showing that 1/2(arc DE) + 1/2(arc FG) = 180∘.

6. Combining the fractions, we have 1/2(arc DE + arc FG) = 180∘.

7. Now, we need to show that arc DE + arc FG = 360∘.

8. Since quadrilateral DEFG is inscribed in circle P, the sum of the measures of all the arcs intercepted by the sides of the quadrilateral is equal to 360∘.

9. This means that arc DE + arc EF + arc FG + arc GD = 360∘.

10. However, we can observe that arc EF and arc GD are opposite sides of the same chord, so they have equal measures. Therefore, arc EF = arc GD.

11. Substituting arc GD with arc EF in the equation from step 9, we have arc DE + arc EF + arc FG + arc EF = 360∘.

12. Simplifying the equation, we get 2(arc DE + arc EF + arc FG) = 360∘.

13. Dividing both sides by 2, we have arc DE + arc EF + arc FG = 180∘.

14. Comparing this result with step 7, we can conclude that arc DE + arc FG = 180∘.

15. Finally, going back to our initial goal, we can now substitute arc DE + arc FG with 180∘ in the equation from step 6: 1/2(180∘) = 180∘.

16. Simplifying, we have 90∘ = 180∘, which is a true statement.

17. Therefore, we have proven that m∠D + m∠F = 180∘.

Thus, we have successfully proved that the sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

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Answer: 18.55

Step-by-step explanation:

The slope intercept form of the given equation is,

y = 5x - 1/4

Given an equation of a line as,

5x - y = 1/4

We have to write the equation of the line in slope intercept form.

Equation of the line in slope intercept form is,

y = mx + c

Here m is the slope and c is the y intercept.

Rearranging the given equation,

5x = y + 1/4

5x - 1/4 = y

or,

y = 5x - 1/4

Hence the slope intercept form is y = 5x - 1/4.

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Answer:

y-intercept decreased by 3-1= 2 points

Step-by-step explanation:

y=-9x+ 3 ⇒ y-intercept= 3

y=-9x + 1 ⇒ y-intercept= 1

y-intercept decreased by 3-1= 2 points = the line shifted down by 2 points

Answer:

Hello!

Answer: y-intercept decreased by 2 points because 3-1=2

I hope I was of help.  If not, please let me know!  Thanks!

Step-by-step explanation:

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952