The base of a rectangular pyramid has a length of 4 feet and a width of 3 feet. The height of the pyramid is 6 feet. Find the volume of the pyramid.

Answer:

(x + 1)(3x + 5)

Step-by-step explanation:

[tex]3 {x}^{2} + 8x + 5 \\ \\ = 3 {x}^{2} + 3x + 5x + 5 \\ \\ = 3x(x + 1) + 5(x + 1) \\ \\ = (x + 1)(3x + 5)[/tex]

Answer:

The answer is (x+1)(3x+5)

let me know if this helps:)

Answer:  0.714286

turn 7/10 into .7 and divide normally

Answer:

-1

Step-by-step explanation:

This is the slope because x is the slope, and if there is no number in front of x then x is 1. There is also a negative in front of x which means the answer is -1.  

The slope of the equation y = -x + 7 equals -1.

Answer:

First 195 dived by 3, then the answer is 65.

Answer: -19x + 26y - 16

Step-by-step explanation:

Combine like terms:

= -4x + 3y - 6 -15x + 23y - 10

= -4x - 15x + 3y + 23y - 6 - 10

Simplifying the expression:

= -4x - 15x + 3y + 23y - 6 - 10

= -19x + 26y - 16

Answer:

41 kg of apples would cost $82.

Step-by-step explanation:

41 kg divided by 7 kg is 5.85714285714. 5.85714285714 multiplied by $14 is $82.

Answer: “samuel earns $20 for each lawn he mows”

Step-by-step explanation:

The statements that represent proportional relationship are statement [1], [2] and [4].

        y = mx + c

        for [c] = 0

        m = y/x

        where [m] is the constant of proportionality.

Given are some statements depicting proportional relationship.

For the statement [1], we can write the equation as -

y = 0.08x + 59

For the statement [2], we can write the equation as -

y = 25x + 45

For the statement [1], we can write the equation as -

y = 20x

Therefore, the statements that represent proportional relationship are statement [1], [2] and [4].

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Answer:

compound

Step-by-step explanation:

it uses a comma and the conjunction but. so it is seen to be a compound sentence

Answer:

[tex]\bold{\frac{1}{6}}[/tex] of the bottle was used

Step-by-step explanation:

Amount of cleaning solution present in spray bottle = [tex]\frac{2}3[/tex] of the bottle

Amount of cleaning solution present in the spray bottle used = [tex]\frac{1}4[/tex] of the cleaning solution present initially

To find:

How much of the bottle was used?

Solution:

Here, we need to find how much amount of the cleaning solution spray was used from the complete bottle.

Amount of spray used = [tex]\frac{1}{4}\times \frac{2}{3}[/tex] of the cleaning solution = [tex]\bold{\frac{1}{6}}[/tex] of the cleaning solution.

Therefore, the answer is:

[tex]\bold{\frac{1}{6}}[/tex] of the bottle was used

Answer:

a. -⅓

b. 3

c. y = 3x - 10

Step-by-step explanation:

a. Gradient of line AB:

A(1, 3), B(7, 1)

[tex] Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{7 - 1} = \frac{-2}{6} = -\frac{1}{3} [/tex]

Gradient (m) = -⅓

b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.

Thus, the negative reciprocal of -⅓ = 3

Gradient of the line perpendicular to line AB = 3

c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:

We can write the equation using the point-slope form equation, y - b = m(x - a), where,

(a, b) represents a point on the line, and,

m = gradient/slope

We know that the gradient/slope (m) = 3

Also, a point, (a, b) = (4, 2).

Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)

Thus:

y - 2 = 3(x - 4)

y - 2 = 3x - 12

Add 2 to both sides

y = 3x - 12 + 2

y = 3x - 10

Answer: 7a

Step-by-step explanation: Since they are like terms, you can just add or subtract them.

4a - 5a = -1a

2a + 6a = 8a

-1a + 8a = 7a

Answer:   y > -1.5 which is the same as y > -3/2

==========================================================

Explanation:

As x goes off to negative infinity, the term 3^x gets closer to 0.

So the expression 0.5*(3^x - 3) approaches 0.5*(0-3) = 0.5*(-3) = -1.5 = -3/2

The y value will never actually get to -1.5 because 3^x never actually reaches 0. It only gets closer and closer.

So the range is the set of possible y outputs such that y > -1.5 or y > -3/2

This means the horizontal asymptote is y = -3/2 or y = -1.5 which is the horizontal "electric fence" of sorts that the function curve gets closer to, but never touches.

Answer:

I hope this makes sense, sorry for the lack of proofs.

Step-by-step explanation:

It is given that S is the midpoint of line QT. The definition of a midpoint is that it bisects the line it is on. So, line QS and line TS are congruent, or the same.

Now, we also know that line QR and line TU are parallel. Because they are parallel, it means that they form congruent corners with lines QS and TS..I think the proof here is "angles opposite to congruent sides are congruent in a triangle." But I'm not sure if this is right. Anyways, this means angles RQS and UTS are congruent.

There's also some proof that when two lines cross, the opposite angles are congruent. This means that angles TSU and QSR are congruent.

Therefore, by ASA (angle-side-angle) ΔQRS ≅ ΔTUS.

Answer:

(f ￮ g)(- 64) = - 8

Step-by-step explanation:

Evaluate g(- 64) by substituting x = - 64 into g(x), then substitute the value obtained into f(x) , that is

g(- 64) = [tex]\sqrt[3]{-64}[/tex] + 1 = - 4 + 1 = - 3 , then

f(- 3) = (- 3 + 1)³ = (- 2)³ = - 8

Given that,

Thomas's time is 8 seconds more than Mia's time.

Jasmine's time is į times the quantity of 21 seconds more than Mia's time

The sum of all three times is 71 seconds.

To find,

The value of m.

Solution,

Let Mia's time is m.

Thomas's time = 8+m

Jasmine's time = 21 + 8+ m

ATQ,

m + 8 + m + 21 + 8 + m = 71

3m + 37 = 71

3 m = 71 - 37

m = 34/3

m = 11.34

So, the value of m or Mia's time is 11.34 seconds.

Answer:

m+1/3(m+21)+m+8=71, m=24

Step-by-step explanation:

Answer:

10 % of the total time will be saved on the new route with the new speed.

Step-by-step explanation:

Let x miles  be the old route. Then the new route would be 1.26 x miles

Let y be the speed on the old route . Then the speed on the new route would be 1.4 y .

And let t be the time on the old route

Speed = Distance / Time

or

Time = Distance / Speed

t= x/y

     Time for the new route   = 1.26x/ 1.4y= 0.9 t

0.9 t means 90% of the old time will be required to cover 1.26x  miles with 1.4 y speed.

And 10 % of the total time will be saved on the new route with the new speed.

1) equation: f(x) = 6e^(ln(⅓) • x) or 6(10)^(log(1/3) • x)

table:

x | y

-1 20

0 6

1 2

2) is cut off, I can't see the rest of the graph.

Answer:

Yes

Step-by-step explanation:

Answer:

It would take D.)6.5 hours to paint 812.5 square

Step-by-step explanation:

Answer:

It would take D.)6.5 hours to paint 812.5 square

Step-by-step explanation:

Answer:

y + 7 = x

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Exponents Law:

[tex]a^{m}*a^{n} = a^{m+n}[/tex]

In exponent multiplication, if bases are same, add the powers(exponents).

Write 7.19 in expanded form: 7.19 = 7 + 0.1 + 0.09. Now apply the exponent rule.

[tex]2^{7.19}=2^{7+0.1+0.09}\\\\=2^{7}*2^{0.1}*2^{0.09}\\\\= 2^{7}*2^{\frac{1}{10}}*2^{\frac{9}{100}}[/tex]

you already know i gotchu :)

Answer: u = 5

Step-by-step explanation:

first, i moved the terms.

-4u + 10u = 37 - 7

then, i collected the like terms and calculated them.

6u = 30

finally, i divided both sides.

u = 5

Answer:

B

Step-by-step explanation:

12x = 72

x = 6

12 x 6 = 72

Answer:

it would be b.

Step-by-step explanation:

if u plug a number into the x spot it would be 12 x 6 = 72

Answer:

36 inches²

Step-by-step explanation:

area of a triangle = length x base x ½

= 8 × 8 × ½

= 36in²

Answer:

i think it's A but don't quote me on it

Step-by-step explanation:

Answer:

D.

Step-by-step explanation: