Find the volume of the trapezoidal prism.
7 in.
6 in.
12 in.
4 in.

Answer:

A. x > -4

Step-by-step explanation:

< less than

>greater than

the unknown number x is greater than -4

{9, 8, 7, ...} the number is counting down. So the next number is 6.

is 6 greater than -4

or less than -4

therefore

x(which is 6) is greater than -4

x > -4

Answer:

c

Step-by-step explanation:

21 total pens

- 1 red pen

20 pens total

6/20 red pens left

6/20 = 3.3333

= 3.3

Answer:

$8,250

Step-by-step explanation:

I = prt

I = ($15,000)(0.055)(10)

I = $8,250

The interest on the loan is $8250.00

The formula for determining simple interest is : loan amount x time x interest rate

Loan is the amount of money that Cindy borrowed. It is $15,000

interest rate = 5.5%

Time is the length of period of the loan. This is 10 years

$15,000 X 0.055x 10 = $8250

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If two variables (x and y) are directly proportional to each other, their relationship can be described as y=kx, where k is how they change relative to one another

Answer:

50

Step-by-step explanation:

The formula for the area of a trapezoid is a+b/2h. a is the top of the trapezoid (5). b is the bottom of the trapezoid(15). h is the height of the trapezoid(5). First you add 5 and 15 together to get 20. Then you divide by 2 to get 10. Now you do 10 x 5 to get 50 as your answer. 5+15/2 = 10(5) = 50

Answer:

A.5 i think it is!

byee have a nice day

Answer:

18.28 sq inches

Step-by-step explanation:

the area of the composite fig. =

(½×3.14×2²)+(½×4×6)

= 6.28 + 12 = 18.28

Answer:

J

Step-by-step explanation:

Go to the right 2 units from the origin (0,0) and then down 5 units

The point at that location is J

Answer:

37.5

Step-by-step explanation

your answer is 37.5

Answer:

3 , 9/2

Step-by-step explanation:

(3- y) (2 y– 9)=0

y=3 , y= 9/2

Given :

An equation, 2cos ß sin ß = cos ß .

To Find :

The value for above equation in (0, 2π ] .

Solution :

Now, 2cos ß sin ß = cos ß

2 sin ß = 1

sin ß = 1/2

We know, sin ß = sin (π/6)  or sin ß = sin (5π/6) in  ( 0, 2π ] .

Therefore,

[tex]\beta = \dfrac{\pi}{6}\ or\ \beta = \dfrac{5\pi}{6}[/tex]

Hence, this is the required solution.

Answer:

x = 3.96

Step-by-step explanation:

To find the missing side length you'll need the formula a^2 + b^2 = c^2

a and b would be the shorter ends, 2.8 and 2.8

c would be the longer end that's opposite the right angle.

so substitute values

2.8^2 + 2.8^2 = c^2

7.84 + 7.84 = c^2

15.68 = c^2

√15.68 = √c^2

3.959797 = c

c = 3.96

side c would be side x so x is 3.96

Answer:

19%

Step-by-step explanation:

Any equation of the form,

⇒ y = 3x + b,

where b is a constant, represents a line parallel to the line 3x - y = 6.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Now, To find the equation of a line that is parallel to 3x - y = 6, we need to find the slope of the line 3x - y = 6.

Hence, we can rearrange the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

3x - y = 6

-y = -3x + 6

y = 3x - 6

Therefore, the slope of the line 3x - y = 6 is,

m = 3.

Since we want a line that is parallel to this line, the slope of the new line must also be 3.

Thus, Any equation of the form,

⇒ y = 3x + b,

where b is a constant, represents a line parallel to the line 3x - y = 6.

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Answer: The smallest integer value of x in the solution is 1.

Step-by-step explanation:

The given inequality: [tex]-3x+10\leq5[/tex]

To solve the inequality, we first subtract 10 from both sides

[tex]-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5[/tex]

Multiply negative sign on both sides ,we get

[tex]3x\geq5[/tex]

Divide both sides by 3, we get

[tex]x\geq\frac{5}{3}[/tex]

i.e. [tex]x\geq 1.6666666667\\[/tex]

[tex]x\geq1[/tex]

Hence, the smallest integer value of x in the solution is 1.

Answer:

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

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

hope it helps...

have a great day!!

Answer:

B(3/4*1/2)

Step-by-step explanation:

So lets see, we have:

3/4 divded by 2

Any whole number, such as 2, will have a denominator like this:

2/1

So we can rewrite this as:

3/4 divided by 2/1

Now, we can actually rewrite this division as multipication. To do this, you must flip the dividing fraction, which was 2/1.

So now it is 1.2:

3/4*1/2

Looking at the anwers, this should be the seocnd one down.

Hope this helps!

Answer:

Solid A

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Given that

The holes of golf is 18

The standard deviation of the score is 16.425 strokes

The sample mean is 5.947

And, there is 90% confidence

We need to find out the number of rounds

So,

At 90% confidence interval, the critical value is +/- 1.645

Margin of error = 5.947

Z_0.05 × SD/sqrt (n) = 5.947

1.645 × 16.425/sqrt (n) = 5.947

sqrt(n) = 1.645 × 16.425 ÷ 5.947

sqrt(n) = 4.54

= 21

Answer:

L = 3 + x

W = x

A = L x W

130 = 3 +( x × x)

B. X2 + 3 = 130

The equation that can be used to solve for x is;

x(x + 3) = 130

We are told that area of a rectangle is;

A = 130 mm².

We are told that length is 3 mm greater than its width.

Now, if the width is x, then

Length = x + 3

Formula for area of a rectangle is;

A = length * width

Thus;

(x + 3)x = 130

x² + 3x = 130

Read more about area of a rectangle at;https://brainly.com/question/13048427

Answer:

6x + 27y = -6

Step-by-step explanation:

i looked it up sooo sorry if its wrong lol

Answer:

97.5ml protein

Step-by-step explanation:

20hr * 75ml/hr = 1500ml

1500ml * .065 = 97.5ml protein

The patient will receive 78 ml protein in the entire day.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Tube feeding formula = 75 ml/hr

Protein content = 6.5% of 75 ml/hr = 0.065*75 ml/hr

⇒ Protein content = 4.875 ml/hr

Now since, the feeding must be held (stopped) for 2 hours before and 2 hours after the administration of Dilantin twice a day

So, Stoppage total hours = 2(2 + 2) = 2*4

⇒ Stoppage total hours = 8

Thus, total hours in a day when formula is feed = 24 - 8 = 16 hours

Thus Protein received by patient = 16hr * 4.875 ml/hr

⇒ Protein received by patient = 78 ml

Thus, the patient will receive 78 ml protein in the entire day.

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Answer:

67.7

Step-by-step explanation:

Because it is the exact same as 67.7 angle n is. So it is 67.7 I went over this recently so I understand your pain!

Answer:

You would be correct!

Step-by-step explanation:

10 × 4 = 40 40 + 15 = 55 therefore D is the answer great job!