please helpp
2. A line goes through the points {8, 9} and {-2. 4}.
(a) What is the slope of the line? Show all steps of work for full credit. (2 pts)





(b) Write the equation of the line in point-slope form. Show your work (state the point and slope you are using). (2 pts)
POINT (Ordered Pair): ¬¬¬_______________
SLOPE:_______________
EQUATION:____________________________

(c) Write the equation of the line in slope-intercept form. Show all steps of work for full credit. (2 pts)

Answer:

143.8 m²

Explanation:

Surface Area of cylinder = 2πr(r + h)

Here given,

Surface Area of cylinder:

⇒ 2π(1.6)(1.6+ 12.7)

⇒ 174.2955 m²

⇒ 143.8 m²        (rounded to nearest 1 decimal place)

Answer:

y= ⅓x +2

Step-by-step explanation:

Since the graph is a linear graph, let's use the slope-intercept form to find its equation.

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

The y-intercept is the point at which the graph cuts through the y-axis. In this case, the y-intercept is 2.

Thus, y= mx +2.

Let's find the slope of the graph.

First, identify 2 pairs of coordinates from the graph:

(0, 2) and (3, 3)

Next, substitute these coordinates into the slope formula below:

[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

slope

[tex] = \frac{3 - 2}{3 - 0} [/tex]

[tex] = \frac{1}{3} [/tex]

Thus, the equation of the graph is y= ⅓x +2.

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{4}{3} \times \pi \times {2}^{3} [/tex]

[tex]v = 33.51 \: {m}^{3} [/tex]

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = \pi \times {2}^{2} \times 6[/tex]

[tex]v = 75.40 \: {m}^{3} [/tex]

[tex]v = 75.40 + 33.51[/tex]

[tex]v = 108.91 \: {m}^{3} [/tex]

Hence, the volume of the given compound shape is 108.91 cubic meters.

sphere:

= 33.51 m^3

cylinder:

= 75.40 m^3

all together:

= 108.91 m^3

Answer:

See below

Step-by-step explanation:

Expand it a bit to see:

= [tex]\sqrt[5]{ 2^5 * 7 * x^5 * x^5 * x * y^5 * y^3}[/tex]

=[tex]2x^2y \sqrt[5]{7xy^3}[/tex]

Answer:

4 quarts

Step-by-step explanation:

1 gallon is equal to 4 quarts

s = area = 11.76

p = perimeter = 16.8

r=2*11.76/16.8=23.52/16.8=1.4

r=1.4

a= 90 degrees

b=36.87 degrees

c=53.13 degrees

triangle is in a circle

Circumradius: R = 3.5

[tex]5 \frac{3}{5} \% \: of \: 750[/tex]

[tex]5 \frac{3}{5} = 5.6[/tex]

[tex] \frac{5.6\%}{100} \times \frac{x}{750} [/tex]

[tex] = 42%[/tex]

The measures for the given angles B and E are 12° .

Triangles are similar when the correspondent angles and the ratio of correspondent sides are equal. Also, it must present the same shape, but it is not mandatory the same dimension.

Like the triangles are similar,  ∠B=∠E. Then,

∠B=∠E

3y=6y-12

3y-6y=-12

-3y=-12

y=4

You can write too:

AC=DF

7a+5=5a+9

7a-5a=9-5

2a=4

a=2

Therefore,

∠B=3y= 3* 4 =12

m∠E=6y-12=6*4-12=21-12=12

AC=7a+5= 7*2+5=14+5=19

DF=5a+9=5*2+9=10+9=19

Read more about similarity triangle here:

https://brainly.com/question/8691470

$SPJ1

Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]

Mass is one of the principal quantities, which is related to the matter in the object  

The main mass unit consists of 7 units of other than other units of mass such as quintals, tons, pounds, ounces:  

Kilogram, kg  

Hectogram, hg  

Decagram, dag  

gram, g  

Decigram, dg  

centigram, cg  

milligrams, mg  

Each unit descends then multiplied by 10, and if one unit increases then divided by 10  

Fraction numbers are known as numerator and denominator

On a number line, fractions are expressed in points that lie between two integers

The general form of fractions is

[tex]\dfrac{a}{b}[/tex]

Mixed fractions consist of integers and ordinary fractions

A mixed number is a combination of a whole number and a fraction

Sara has 14 ounces of vanilla yogurt

Her father's yogurt weighs half of much, so her fathers have yogurt :

= 0.5 x 14 ounces

= 7 ounces

Total ounces of yogurt they buy

= 14 + 7 = 21 ounces

for 1 ounces (oz) the conversion = 0.0625 pounds(lbs)

So for 21 ounces there will be

= 21 x 0.0625

= 1.3125 pounds

if we express as a mixed number , it will be :

[tex]=\dfrac{13125}{10000}[/tex]

[tex]=1\dfrac{5}{16}[/tex]

Hence Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]

To know more about Weight follow

https://brainly.com/question/2337612

#SPJ1

Answer:

a.

Step-by-step explanation:

the area of a whole circle (360°) is

pi×r²

in our case

pi×10² = 100pi

but here we don't need the full circle. we only need a fraction of the whole circle : 128/360

so, the area of the sector is

100pi × 128/360 = 100pi × 16/45 = 20pi × 16/9 =

= 111.7010721... cm² ≈ 111.7 cm²

Answer:

C = 2(h - 1) + 0.80

Step-by-step explanation:

144 degree is right answer.

Answer:

144°

Step-by-step explanation:

The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.

From B to D, it requires 2 rotations.

Answer:

the answer is 11 because there are so many no. repeating so in this case we count total no of terms and say it n if terms are odd then mode

Step-by-step explanation:

mode = n+1÷2

Answer:

Step-by-step explanation:

Comment

There are 9 marbles all together.

The important  fact is that he draws 1 marble to begin with and does not replace it. That means that the next marble is out of 8.

Solution

First marble: Blue = 3/9 = 1/3

Second marble: Green 2/8 = 1/4

The probability of that happening is

P(blue,Green) = 1/3 * 1/4 = 1/12

Answer P(blue, green) = 1/12

Answer:

Question 23: 39

Question 24: 10

Question 25: Airline B

Question 26: 20 to 50

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

The volume of the solid that results, when the region enclosed by the curves, is revolved about the x-axis is 3.35 cubic units.

When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.

The function is given below.

y = - x² + 1

y = 0

Then the volume of the solid will be

[tex]\rm Volume = 2\int \pi y^2 dx\\\\\\Volume = 2 \int _0^1 \pi (-x^2 + 1)^2 dx\\\\\\Volume = 2 \pi \int _0^1 (x^4 - 2x^2 + 1)dx\\\\\\Volume = 2 \pi \left [ \dfrac{x^5}{5} - \dfrac{2x^3}{3} + x \right]^1_0\\\\\\[/tex]

On solving further, we have

Volume = 2π [(1/5 - 2/3 + 1) - 0]

Volume = 2π [8/15]

Volume = 3.35

Then the volume of the solid will be 3.35 cubic units.

Learn more about solid of revolution here:

https://brainly.com/question/338504

#SPJ1

its true

they are both already right triangles so if both have acute angles that are congruent then the right triangles are similar

if one of the acute angles of a right triangle is congruent to an acute angle of another right triangle then by angle angle Similarity the triangles are similar

Answer:

[tex] \frac{8}{5} = \frac{2}{m - 3} \\ \\ \implies \: 8(m - 3) = 2 \times 5 \\ \\ \implies \: 8m - 24 = 10 \\ \\ \implies \: 8m = 10 + 24 \\ \\ \implies \: 8m = 34 \\ \\ \implies \: m = \frac{34}{8} \\ \\ \implies \: \boxed{m = 4.25}[/tex]

therefore , second option is correct.

hope helpful ~

Answer:

36 students.

Step-by-step explanation:

5 + 7 = 12.

So the number of students must be a multiple of 12.

So as the number is  between 25 and 43 it must be 36.

Answer

whats the question

Step-by-step explanation:

It's not hemisphere,It's a complete sphere .

Volume

Volume of each hemisphere.

The statistical test would be a Z-test for the difference between the proportions.

The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.

We have:

In a recent poll among 500 students, it was found that 60% of women and 68% of men eat meals on campus at least 3 times a week.

From the above data and the definition of the Z-test, the statistical test would be a Z-test for the difference between the proportions.

Thus, the statistical test would be a Z-test for the difference between the proportions.

Learn more about the Z-test here:

brainly.com/question/15683598

#SPJ1

Using it's formula, it is found that the accuracy of the test was of 0.85 = 85%.

The accuracy of a test is given by the number of correct results divided by the number of results.

In this problem, there are 80 tests, and of those, 5 + 7 = 12 had incorrect results, hence 68 had correct results.

Hence the accuracy of the test is given by:

a = 68/80 = 0.85 = 85%.

More can be learned about the accuracy of a test at https://brainly.com/question/3128152

#SPJ1

Answer:

9. Median: 14

10. Mean: 14.1

11. Mode: No Mode

12. New Median: 14.5

13. New Mean: 14.625

Answer:

y=2/3x+4

Step-by-step explanation:

4 is y-intercept

2/3 is  the slope (rise/run)

Answer: y = [tex]\frac{2}{3}[/tex]x + 4

Step-by-step explanation:

    This is in slope-intercept form. We are missing the m and the b value. See attached for more information.

[m aka the slope]

   Starting from point (-6, 0), counting up 2 units, then right 3 units to point (-3, 2), gives us a slope of [tex]\frac{2}{3}[/tex] via rise-over-run

[b aka the y-intercept]

   The line intersects the y-axis at positive 4.

-> This value is "4"

The graph can be seen at the end, and the piecewise function for the part above the x-axis is:

f(x) = x^2 - 4 if  x ∈ (-∞, -2] or x ∈ [2, ∞)

f(x) = 4 - x^2 if x  ∈ (-2, 2).

First, we need to graph both functions, so we can see when each one is positive, the graphs of:

y = x^2 - 4

y = 4 - x^2

Can be seen at the end.

So, the first function is positive in the interval (-∞, -2] and [2, ∞), and the second function is positive in the interval (-2, 2)

So for the part of the function above the x-axis we have a piecewise function:

f(x) = x^2 - 4 if  x ∈ (-∞, -2] or x ∈ [2, ∞)

f(x) = 4 - x^2 if x  ∈ (-2, 2).

If you want to learn more about piecewise functions:

https://brainly.com/question/3628123

#SPJ1

Answer:

y= |x^2-4|

Step-by-step explanation:

Once you graph y=x^2-4 and y=4-x^2, you will get a graph like the first picture. The equation for the parts above the x-axis would be y=|x^2-4| and would graph like the second picture.

7000_1.8%=61.2%this is the answer

Answer:

Getting sum 6 when rolling two dice