Using V = lwh, What is an expression for the volume of the following prism?

Answer:

3) The value of k is 8. 5) The slope of the line y=-17x+47/3 is -17.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(k-5)/(2-1)

m=(k-5)/1

m=k-5

k-5=3

k=3+5

k=8

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

5) y=mx+b where m=slope and b=y-intercept.

Answer:

false

Step-by-step explanation:

used cars can often have higher interest rates

Answer:

Answer:

1,099 cubic inch or 18.01 liter

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Radius (r) = 5 inches

Height (h) = 14 inches

So, Volume of can = π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

= π [tex]5^{2}[/tex] × 14

= π 25 × 14

= 350π

= 350 × 3.14

= 1,099 cubic inch

As 1 liter = 61.02 cubic inch

So, 1,099 ÷ 61.02 = 18.01 liter

Answer:

ax2+bx+c

Step-by-step explanation:

A-2

B-3

C-1

Answer:

A = 2, B = 3. C = 1

Step-by-step explanation:

A, B, and C correspond to the coefficients of the terms. (ax² + bx + c)

Therefore:

A = 2

B = 3

C = 1

Answer:

40 people who don't like any of the three drinks.

Step-by-step explanation:

It is given there are 340 people in total

Number of people like tea=150

Number of people like tea only =90

Number of people like coffee only =80

Number of people like milk only =70

Number of people like coffee and milk only = 0

We can draw Venn diagram which helps us to find the number of people who don't like any of these three drinks. I'll attach the file.

Answer:

300

Step-by-step explanation:

Answer:

The correct answer is – 1/2

Answer:

The answer is -1/2

Step-by-step explanation:

If we compare this with y = mx + c, we can do a comparison. m is the slope and c is the added constant.

Since y = -1/2 x + 1/4,

m = -1/2

Since m is the slope, the slope is -1/2.

Answer:

3/4 times 3

Step-by-step explanation:

9/4 in fraction form, so it equal 2 1/4. Hope this helps

The answer is B Parallel lines

Answer: The correct answer is Overlapping Lines

Step-by-step explanation: I just put this answer on my assignment and the answer parallel lines is wrong!!!!!

Answer:

−4,2+2i√3, and 2−2i√3 is the correct answer

Answer:

32 square units.

Step-by-step explanation:

The shape is made up of three parts, a rectangle in the middle, and two identical triangle on each side.

Rectangle:  base = 2, height 8, area = 16

Each triangle: (vertical) base = 8, (horizontal) height = 2

Area = base * height /2 = 2*8/2 = 8

Total area = 8 + 16 + 8 = 32

Answer:

$39.055

Step-by-step explanation:

100% + 7% = 107%

[tex]\frac{y}{36.5} :\frac{107}{100}[/tex]

y · 100 = 107 · 36.5

100y = 3905.5

100y ÷ 100 = 3905.5 ÷ 100

y = 39.055

Answer:

x>2 and x<10

Step-by-step explanation:

Using Triangle Inequalities, this is the ranges because when x is greater than 2 and less than 10, a triangle is always possible and forms.

Answer:

[tex]\sqrt{1}[/tex]

Step-by-step explanation:

Anything to the zeroth power becomes 1, and anything to the negative power can be turned into the root of it. For example, 1 to the -2 power = [tex]\sqrt{1\\}[/tex]

Hope this helps!!

Please mark me Brainliest

:)

9x - 2y = 19, 7x = 21

7x = 21

=> x = 21/7

= x = 3 —————(1)

9x - 2y = 19

=> 9(3) - 2y = 19 [From (1)]

=> 27 - 2y = 19

=> -2y = 19 - 27

=> -2y = -8

=> y = -8/-2

=> y = 8/2

=> y = 4

So, x = 3 and y = 4.

Answer:

Step-by-step explanation:

The domain indicates all the x values which are {2, 6, 9} in order from least to greatest. As long as none of these numbers is the same, then our relation is also a function. Choice A. is the one you want.

Answer:

336 m³

Step-by-step explanation:

You just have to multiply the height × width × lenght:

12×14×2=336

Answer:

Step-by-step explanation:

When we divide congruent sides of similar solids or plane figures we get the linear scale factor.

The square of the linear scale factor gives the area scale factor while it's cube gives the volume scale factor.

In this question, the linear scale factor will be 6/5

since we are asked to find the volume we cube the linear scale factor.

 (6/5)³=216/125

to get the volume of the larger prism we multiply the volume of the smaller by the V.S.L as shown

(216/125)×300in³= 518.4in³

Answer:

the answer is 518.4

Step-by-step explanation:

if was correct on acellus

Answer:

Step-by-step explanation:

[tex]28y^{7} *x^{4} *u^{3} \\8x^{4} *u^{5}[/tex]

rewrite those 2 terms to better see what they have in common

[tex]4*7 *x^{4} *u^{3} *y^{7} \\4*2*x^{4}*u^{3} *u^{2}[/tex]

because, 4*7 =28, 4*2=8, u³*u² =u^5, and multiplication is commutative

The greatest common factor is:

[tex]4x^{4} u^{3}[/tex]

Answer:

8y

Step-by-step explanation:

Product means multiply

8*y

8y

Answer:

Step-by-step explanation:

first arrange the data from ascending to descending order.

11 , 12 , 15 , 17 , 19 , 20 , 21 , 22

Median(Q2)=(N+1)/2

=8+1/2

=9/2

=4.5 th term

=(4 th term + 5 th term)/2

=(17+19)/2

=36/2

=18

therefore the median of the set of data is 18.

Answer:

f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.

Step-by-step explanation:

First, to be closed means that once an operation has commenced, the result is a polynomial, just like the two original ones.

When polynomials are multiplied, exponents simply add together, and constants are multiplied. A polynomial is a finite sum of terms in which all variables have whole numbered exponents.

In this scenario, when we multiply polynomials, exponents are solely added together, and one whole number plus another is still a whole number. Similarly, constants multiplied by constants stay as constants, and constants multiplied by variables keeps it in polynomial form. (e.g. 3 * x² makes it 3x², and 3x² is fine in a polynomial).

Therefore, given these facts, f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.

Answer:

See explanation

Step-by-step explanation:

Let

x = number of messages Salma sent

x + 9 = number of messages Brian sent

2(x + 9) = number of messages Chang sent

Total messages sent = 55

x + (x + 9) + 2(x + 9) = 55

x + x + 9 + 2x + 18 = 55

4x + 27 = 55

4x = 55 - 27

4x = 28

x = 28/4

x = 7

Number of messages Salma sent = x = 7 messages

Number of messages Brian sent = x + 9

= 7 + 9

= 16 messages

Number of messages Chang sent = 2(x + 9)

= 2(7 + 9)

= 2(16)

= 32 messages

Answer:

Suppose x∈R is such that x+20x=p is a prime. Then x2−px+20=0 , and this equation has a solution x∈R if and only if p2–80≥0 . So the primes which admit no real solution are those that satisfy p<80−−√ , or 2 , 3 , 5 , and 7 . ■

Step-by-step explanation:

E? <3

The primes which accept no real solution exist as those that satisfy

p<[tex]\sqrt{80}[/tex], or 2, 3, 5, and 7.

A prime number exists as a real number greater than 1 whose only factors that exist are 1 and itself. A factor exists as an entire number that can be divided evenly into another number. The first prime numbers exist 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Numbers that contain better than two factors exist named composite numbers.

If the function f(x) = (20/x) + x = k. Suppose x∈R exists such that x+20x=p exists a prime. Then [tex]$x^2-px+20=0[/tex], and this equation contains a solution x∈R if and only if [tex]$p^2-80[/tex] ≥ 0. So the primes which accept no real solution exist as those that satisfy p < [tex]\sqrt{80}[/tex], or 2, 3, 5, and 7.

To learn more about prime number refer to:

https://brainly.com/question/145452

#SPJ2

Answer:

exactly

domain

range

f(x)

Answer:

√13 + 3 = x

-√13 + 3 = x

Step-by-step explanation:

y = x² - 6x - 4

0 = x² - 6x - 4

0 + 13 = x² - 6x - 4 + 13

13 = x² - 6x + 9

13 = (x-3)²

±√13 = x-3

±√13 + 3 = x

√13 + 3 = x

-√13 + 3 = x