If h = 18 inches, l = 30 inches, and w = 14 inches, what is the area of the figure shown above?

2. Which rule defines the function in the graph shown?

Svetlanka [38]

Answer:

Function rule is option c.

7 0

3 years ago

*Easy* & will mark brainest!! Does the image above mean no solution or infinite solutions? please let me know!

jenyasd209 [6]

Answer:

No solution.

Step-by-step explanation:

That image is of the symbol of the empty set. The solution set is empty, which means there is no solution.

8 0

3 years ago

Read 2 more answers

as the schools sign language interpreter kiran gets paid 35.50 for every parent-teacher conference that he attends. He also gets

yKpoI14uk [10]

<u>The interpreter attended </u><u>22 parent-teacher conference</u><u> and </u><u>5 school related assembly</u>

To solve this problem, we would write out two set of linear equations.

The data given on this problem are

parent-teacher conference = $35.50
school related assembly = $42
The total number of engagements = 27

Let x represent the number of parent-teacher conference

let y represent the number of school related conference

<h3>Equations</h3><h3> $x+y = 27...equation (i)\\35.50(x)+42y=991...equation(ii)$ </h3>

From equation (i)

$x+y = 27\\x = 27-y...equation(iii)\\$

Put equation(iii) into equation (ii)

$35.50x+42y=991\\35.50(27-y)+42y=991\\958.50-35.50y+42y=991\\6.50y=991-958.50\\y=5$

Put y = 5 into equation 1

$x+y=27\\y = 5\\x+5=27\\x=27-5\\x=22$

From the above calculations, he attended 22 parent-teacher conference and 5 school related assembly.

Learn more on linear equations here;

brainly.com/question/4074386

8 0

2 years ago

Read 2 more answers

Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.)

Salsk061 [2.6K]

Answer:

Mix fraction: 3 1/27

Improper fraction: 82/27

Decimal approximation: 3.037

Step-by-step explanation:

What value is close to 28 that is a perfect cube...27 which equals 3^3.

So let's find the tangent line to the curve y=cubert(x) at x=27.

We will use this equation to approximate what happens at x=28.

First let's rewrite the radical in our equation;

y=x^(1/3)

Now differentiate

y'=(1/3) x^(1/3-1) by power rule

Simplify

y'=(1/3) x^(-2/3) or (1)/(3x^[2/3])

So the slope of our tangent line at x=27 is (1)/(3(27)^[2/3])=1/(3(3)^2)=1/(3×9)=1/27.

We will also need a point on this tangent line....We know we have the point at x=27 because that is what our tangent line to curve is being found at.

So at x=27, we have y=cubert(27)=3. We used our equation y=cubert(x) here.

So we want to find the equation of the line that contains point (27,3) and has slope 1/27.

Point-slope form is

y-y1=m(x-x1)

Plug in our values

y-3=(1/27)(x-27)

Add 3 on both sides

y=3+(1/27)(x-27)

We will use this linear equation to approximate cubert(28) by replacing x with 28.

y=3+(1/27)(28-27)

y=3+(1/27)(1)

y=3+1/27

You can write that as a mix fraction if you want.

This value is than 3 but super close to 3 since 1/27 is close to 0.

Mix fraction: 3 1/27

Improper fraction: 82/27

Decimal approximation: 3.037

Cubert of 28 when smashed into calculator as is gives approximately 3.0366 which is pretty close to our approximation.

4 0

2 years ago

Read 2 more answers

2. the student to faculty ratio at a small college is 17:3 the total of students and faculty is 740 how many faculty members are

balu736 [363]

<span>#2) 629 students and 111 faculty. #3) 1259 skiers and 2518 snowboarders.

Explanation<span>:
#1) Let S be the number of students and F be the number of faculty. S/F = 17/3.
We know that S+F = 740; subtracting F from both sides, we have S=740-F. We can use this to rewrite the proportion:
(740-F)/F=17/3.

Cross multiply:
3(740-F)=17(F).

Using the distributive property, we have
3*740-3*F=17F; 2220-3F=17F.

Add 3F to both sides:
2220-3F+3F=17F+3F
2220=20F.

Divide both sides by 20:
2220/20 = 20F/20
111=F.

There are 111 faculty members. Substitute that into our equation, S=740-F: S=740-111
S=629.

#2) Let x be the number of skiers. We know that there were 1259 more snowboarders with passes than skiers; that gives us x+1259.
The ratio of skiers to snowboarders is 1/2; this gives us the proportion x/(x+1259)=1/2.

Cross multiply:
2(x)=1(x+1259)
2x=x+1259.

Subtract x from both sides
2x-x=x+1259-x
x=1259.

There were 1259 skiers. This means there were 1259+1259=2518 snowboarders.</span></span>

6 0

3 years ago