Find the surface area of the prism.
10 ft length
1 ft height
5 ft width

Answer:

C. 1/3

Step-by-step explanation:

there are 48 possible outcomes, and out of those 16 of them have a sum of 3.

16/48

simplify

1/3

When two lines form vertical angles, then the angles are equal in measure. This is true.

Vertical angles are angles opposite each other where the two lines cross. When two lines meet a third line at the same angle, those lines are not parallel.

There are no parallel lines in spherical geometry. On the globe, all the lines of longitude meet the equator at the right angle.

Three lines can form two triangles. This is true as three noncollinear points determine the triangle in spherical geometry.

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Answer:

see below

Step-by-step explanation:

Find the magnitude   (-1)^2  + (sqrt3)^2 = m^2   m = 2

find the angle    arctan (sqrt3/-1) = 120 degrees

the cube root would then be

[tex]\sqrt[3]{2}[/tex](cos 40 + isin 40)

For the horizontal segment, the value of the ordinate will not change. Then the second point will be (x, 3.5).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The point is given as (3, 3.5).

Then name a second point so that the two points form a horizontal segment.

For the horizontal segment, the value of the ordinate will not change.

Let x be the abscissa.

Then the point will be given as (x, 3.5).

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The equation of the quadratic function is y = -1/4(x + 2)² + 4

A quadratic equation is represented as:

y = ax² +bx + c

When x = 0 and y = 3, we have:

3 = a(0)² +b(0) + c

This gives

c = 3

So, we have:

y = ax² +bx + 3

When x = 1 and y = 1.75, we have:

1.75 = a(1)² +b(1) + 3

This gives

a + b = -1.25

Make b the subject

b = -1.25 - a

When x = -2 and y = 4, we have:

4 = a(-2)² +b(-2) + 3

This gives

4a - 2b = 1

Substitute b = -1.25 - a in 4a - 2b = 1

4a - 2(-1.25 - a) = 1

Expand

4a + 2.5 + 2a = 1

Evaluate the like terms

6a = -1.5

Divide both sides by 6

a = -1/4

Substitute a = -1/4 in b = -1.25 - a

b = -1.25 + 1/4

Evaluate

b = -1

So, we have:

y = -1/4x² - x + 3

Factor out -1/4

y = -1/4(x² + 4x) + 3

-------------------------------------------------

Take the coefficient of x

k = 4

Divide by 2

k/2 = 2

Square both sides

(k/2)² = 4

-------------------------------------------------

Add and subtract 4 inside the bracket of y = -1/4(x² + 4x) + 3

y = -1/4(x² + 4x + 4 - 4) + 3

Expand

y = -1/4(x² + 4x + 4) + 1 + 3

Evaluate the sum

y = -1/4(x² + 4x + 4) + 4

Express the bracket as a perfect square

y = -1/4(x + 2)² + 4

Hence, the equation of the quadratic function is y = -1/4(x + 2)² + 4

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Answer:

It's Store C

Hope this helps :)

Step-by-step explanation:

Got it right on USA TEST PREP :)

Answer:

the answer is x=7 and -7

Hope this helps!!

Answer:

the more successful school is A

with a percentage pass rate of 74 % (to the nearest whole number)

Step-by-step explanation:

The percentage pass rate of school A :

(284÷386)×100 = 73.575129533679 %

The percentage pass rate of school B :

(154÷220)×100 = 70 %

73.575129533679 > 70

Then ,the more successful school is A

with a percentage pass rate of 74 % (to the nearest whole number)

Answer:

23.5

Step-by-step explanation:

let's take the number as X

2X+20=66.3

2X=66.3-20

X=23.15

---Divide by 1565

9390 chairs / 1565 tables

6 chairs / table

Hope this helps!

Answer:

a. 94.444 m/s

b. 0.001 s

Step-by-step explanation:

#a

#b

please

that is the solution

Answer:8 miles

Step-by-step explanation:

Answer: The answer to your first question is b^2+2b-8. You second answer is y^2-4y+3.

Step-by-step explanation: Now, these questions deal with the FOIL method commonly taught in schools. The FOIL method is to turn factored binomials back into quadratics. Let's first go over what FOIL means.
F - First. So you multiply the first terms in each set of parenthesis, so b times b and y times y make b squared and y squared.
O - Outer. Multiply the two outer terms together, so b times -2 and y times -3. Remeber to pay attention to your signs when you multiply during these probelms!
I- Inner. Multiply the two inner terms together. so 4 times b and -1 times y. Again, make sure the signs are incorporated!
L - Last. Multiply the last terms in the binomials. So 4 times -2 and -1 times -3.

Now that we have our numbers, we have expanded quadratics that look like these:
b^2 -2b+4b-8 and y^2-3y-y+3

Now combine the two middle terms into +2b and -4y, and your answers are b^2+2b-8 and y^2-4y+3.

Answer:

Step-by-step explanation:

12*6.5%=0.72

12+15%=13.8

0.72+13.8=14.52

Answer:

  C.  ΔABC ~ ΔDEF

Step-by-step explanation:

The operators in the different answer choices are used to describe different kinds of relations.

  A.  "almost equals" or "is approximately"

  B.  "equals"

  C.  "is similar to" (tilde operator)

  D.  "is congruent to"

__

Additional comment

"Congruent" is used to describe geometrical figures in which all corresponding measures are identical. "Equal" generally refers to the relationship between algebraic or numerical values or expressions.

"Is approximately" is used to describe values that are the same within a suitable tolerance or error range. For example, 23.4 ≈ 23.352, where the value on the left has been rounded to the nearest tenth. (It is within 0.05 of the value on the right.)

The correct probability expression is (a) P(a) = three-fifths

Using the data in the complete question, we have:

n(A) = 3

n(U) = 5

The probability of A is then calculated using:

P(A) = n(A)/n(U)

This becomes

P(A) = 3/5

Hence, the correct probability expression is (a) P(a) = three-fifths

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Answer:

It’s A my friend

Step-by-step explanation:

i did the quiz

yw :)

hope i helped/ made life easier

The statement third “by highlighting one of the benefits that comes from reading” is correct.

Reading is a thinking process that entails interpreting words in deriving information.

We have statements about the importance of reading:

According to the PSA, the correct statement about the importance of reading is by highlighting one of the benefits that comes from reading.

Thus, the statement third “by highlighting one of the benefits that comes from reading” is correct.

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Answer:

C

Step-by-step explanation:

Check the picture below.

Make sure your calculator is in Degree mode.

The graph is shown below. Then the linear system crosses each other at (1.5, 5).

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear equations are given below.

y = 5 ...1

2x + y = 8 ...2

The graph is shown below.

By equations 1 and 2. Then we have

2x + 5 = 8

     2x = 3

       x = 1.5

Then the lines cross each other at (1.5, 5).

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Answer:

x = 4/7, 5

Please mark Brainliest :)

Answer:

x = 4/7 or x = 5

Step-by-step explanation:

Step 1: Add to 3 to both sides

Step 2: Factor by grouping

This equation is in the form ax² + bx + c = 0. Since there are no terms that multiply to 20 and add to -39, we have to find terms that multiply to a (7) * (20) and add to -39.

Now, we split -39x into -35x and -4.

Next, we factor each expression in the parentheses. After that, we put the terms outside the parentheses together. Reminder, the terms inside the parentheses should be the same.

Step 3: Solve for x using 7x - 4 = 0 and x - 5 = 0.

or

Answer:

-3y^2+5xy

Step-by-step explanation: Just cancel out all of the numbers with the variable "y"

Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]  gives  polynomial  that does not contain the variable y .

A mathematical expression consisting of two terms connected by a plus sign or minus sign .

Example: x + 2 is a binomial, where x and 2 are two separate terms.

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer

According to the question

polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]

when added with  [tex]-3y^{2}+5xy[/tex]  

= [tex]2x^{2}+1[/tex]   (as [tex]3y^{2} -5xy[/tex] got cancelled )

that does not contain the variable y

Hence, Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]  gives that does not contain the variable y .

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Answer:

10

Step-by-step explanation:

Formula :

Finding a₅ :

Finding a₆ :

Answer:

60th percentile = 23.5

Step-by-step explanation:

Put numbers in order from lowest to highest:

14, 14, 14, 15, 15, 15, 16, 18, 19, 21, 23, 23, 24, 24, 25, 25, 25, 26, 29, 29

Formula:

60th percentile = 60% x Total number of elements

We have 20 scores,

60th percentile = 60% x 20

                          = 0.60 x 20

                          = 12

the 60th percentile is the 12th number on the list

14, 14, 14, 15, 15, 15, 16, 18, 19, 21, 23, 23, 24, 24, 25, 25, 25, 26, 29, 29

The 60th percentile is between 23 and 24

23 + 24 / 2 = 23.5

Answer:

18480 feet

Step-by-step explanation:

5280 feet are in a mile 3.5 ×5280=18480

Answer:

2.5 seconds.

Step-by-step explanation:

h(t) = -4t^2 + 20t

= -4(t^2 - 5t)

Convert to vertex form by completing the square:

h(t) = -4[(t - 2.5t)^2 - 6.25]

     = -4(t - 2.5)^2 + 25    <--------- vertex form

So the vertex is at the point (2.5, 25).

So the athlete reaches the maximum height ( of 25 feet), after 2.5 seconds.

Answer:

1 +√21 + 1 - √21
2 2

Step-by-step explanation: