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Answer:

4²

Step-by-step explanation:

simplified expression of 4 power 4 multiplied by 4 power 3 over 4 power 5.

Answer:

4^2

Step-by-step explanation:

(4^4*4^3)/4^5

4^4 * 4^3 = 4^7 because of an exponent multiplication property, when exponents of the same number multiply, they can just add

4^7/4^5

4^7-5

= 4^2 Because..

another exponent property is that if the exponents of the same number divide, they can subtract! The opposite of the other property!

Answer:

-32

Step-by-step explanation:

Firstly, what we have to do is to multiply g(x) by h(x)

We have this as;

2x(x^2 + 4)

We then proceed to substitute the value of x with -2 as follows

2(-2)(-2^2 + 4)

= -4(8) = -32

Vertical stretch

Hope this helps! :)

Answer:

k = - 5

Step-by-step explanation:

Given that (x - 1) is a factor of p(x) then p(1) = 0, that is

2 - 3 + 6 + k = 0

5 + k = 0 ( subtract 5 from both sides )

k = - 5

Answer:

Question 1: d. (3, 7)

Question 2: b. (5, 1)

Question 3: b. (6, –4)

Step-by-step explanation:

Question 1:

Solve this system of equations using any method.

4x – y = 5

3x + y = 16

Add the equations.

7x = 21

x = 3

4(3) - y = 5

-y = -7

y = 7

d. (3, 7)

Question 2:

Solve the following system of equations.

d + e = 6

d – e = 4

Add the equations.

2d = 10

d = 5

5 + e = 6

e = 1

b. (5, 1)

Question 3:

Solve the following system of equations by linear combination:

4x + 3y = 12

y = x – 10

4x + 3y = 12

-x + y = -10

Multiply the second equation by 4 and add to the first equation.

          4x + 3y = 12

(+)      -4x + 4y = -40

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

                  7y = -28

y = -4

-4 = x - 10

x = 6

b. (6, –4)

Answer:

72

Step-by-step explanation:

67+5= 72

Answer:

The answer is 47

Step-by-step explanation:

Answer: The triangles are congruent by the HL theorem

HL = hypotenuse leg

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

Explanation:

Through the segment addition postulate, we can say:

WZ = WT+TZ

YT = TZ+ZY

Notice how both WZ and YT have TZ as part of their segments.

Since WZ and YT are the same length, we can then say,

WZ = YT

WT+TZ = TZ+ZY

WT = ZY

I used substitution for the second step.

The last step is where I subtracted TZ from both sides, and they canceled out.

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

We have the following info:

Normally, the conclusion from here would be "not enough info" because this is a SSA case. Note how the angles are not between the congruent sides. So we wouldn't use SAS.

However, despite us having SSA, it doesn't mean we can't keep going. The reason why is because we have two right triangles. So we can use the HL theorem instead. Statement 1 above refers to the L of HL, while statement 2  is the H.

HL = hypotenuse leg

Again, HL only works for right triangles. It's the only time we can use SSA to prove right triangles are congruent; otherwise, SSA is not a valid congruence theorem.

Answer:

14

Step-by-step explanation:

area = lb

4*3 or 6*2 or 1*12

perimeter= 14,16,26

Answer:

third side = 6

Step-by-step explanation:

third side is hypotenuse as it is opposite to 90 degree

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotense)^2

5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2

25 + 11 = hypotenuse^2

36 = hypotenuse^2

[tex]\sqrt{36}[/tex] = hypotenuse

6 = hypotenuse

Answer:

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Step-by-step explanation:

Given

[tex]t \to time[/tex]

[tex]f \to figurines[/tex]

Required

Determine the function

From the question, we have:

[tex]60\ minutes \to 9\ left[/tex]

This is represented as:

[tex]f(60) = 9[/tex] or [tex](60,9)[/tex]

If he spends 20 minutes on 1 figurine;

[tex]20\ minutes = 1\ figurine[/tex]

Multiply both sides by 3

[tex]60\ minutes = 3\ figurines[/tex]

This means that, he spends 60 minutes on 3

plus he still has 9 left

So, the initial figurines is:

[tex]f(0) =3 + 9[/tex]

[tex]f(0) =12[/tex] or [tex](0,12)[/tex]

So, we have:

[tex](60,9)[/tex] and [tex](0,12)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12- 9}{0 -60}[/tex]

[tex]m = \frac{3}{ -60}[/tex]

[tex]m = -\frac{1}{20}[/tex]

The equation is then calculated as;

[tex]f(t) = m * t + c[/tex]

[tex]f(t) = -\frac{1}{20} * t + c[/tex]

[tex]f(t) = -\frac{1}{20}t + c[/tex]

To solve for c, we have:

[tex]f(60) = 9[/tex]

So, we have:

[tex]9 = -\frac{1}{20} * 60 + c[/tex]

[tex]9 = -3 + c[/tex]

Add 3 toboth sides

[tex]c =12[/tex]

Hence, the equation is:

[tex]f(t) =-\frac{1}{20} t + c[/tex]

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Answer:

f=-1/20t+12

Step-by-step explanation:

khan

Answer:

24

Step-by-step explanation:

ate 4 pounds 6 times because monday, tuesday, wednesday, thursday, friday, saturday.

therefore 4x6= 24

Answer:

D. 2√2

Step-by-step explanation:

In a 45° 45° 90° triangle, the hypotenuse is the leg length multiplied by √2. So divide by √2 to find x.

x = 4/√2 = 2√2

Answer:

6π

Step-by-step explanation:

(135/360)×π×4²

(135/360)×π×16

=6π

Answer:

a y intercept (0,8)

Flat rate 8

b  slope is 4

c  3.5 hours

Step-by-step explanation:

The y intercept is where it crosses the y axis, which is (0,8)

The flat rate is the y intercept which is 8

The rate per hour is the slope

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

Using 2 point ( 1,12) and ( 2,16)

    = (16 -12)/(2-1)

     = 4/1

    = 4

The equation is

y = mx+b

y = 4x+8

Let y = 22

22 = 4x+8

Subtract 8 from each side

22-8 = 4x+8-8

14 = 4x

Divide by 4

14/4 = 4x/4

3.5 = x

3.5 hours

(0,8) is the y intercept because it crosses the y axis.

We can see that the flat rate is 8, which is the y intercept.

[tex] \quad\quad\quad\boxed{ \tt{m = \frac{rise}{run} = \frac{ y \tiny{2} \: \small{ - } \: y \tiny{1}}{x \tiny{2} \: \small{ - } \: x \tiny{1}} }}[/tex]

[tex]\quad\quad\quad\boxed{ \tt{m = \frac{16 - 12}{2 - 1} }}[/tex]

[tex]\quad\quad\quad\boxed{ \tt{m = \frac{4}{1} }}[/tex]

[tex] \quad\quad\quad\boxed{ \color{green}\tt{m = 4}}[/tex]

[tex] \quad \quad \quad \boxed{ \tt{y = mx + b}}[/tex]

[tex] \quad \quad \quad \boxed{ \tt{y = mx + b}}[/tex]

[tex] \quad \quad \quad \boxed{ \tt{22 =4x + 8}}[/tex]

[tex] \quad \quad \quad \boxed{ \tt{22 - 8 = 4x + 8 - 8}}[/tex]

[tex] \quad \quad \quad \boxed{ \tt{14 = 4x \: \:\cancel{ \color{red}+ 8 - 8}}}[/tex]

[tex]\quad \quad \quad \boxed{ \tt{ \frac{14 = \cancel4x}{ \cancel{4} }}}[/tex]

[tex]\quad \quad \quad \boxed{ \color{green} \tt{3.5 = x}}[/tex]

_________

#LetsStudy

#HikariSquad

Answer:

[tex]b. \: \: 32[/tex]

Step-by-step explanation:

[tex]4(x - 2)[/tex]

[tex]4(10 - 2)[/tex]

[tex]4(8)[/tex]

[tex]32[/tex]

Answer:

2.58 saved

Step-by-step explanation:

To find the discount, take the amount and multiply the discount percent

10.30 * 25%

10.30 *.25

2.575

Round to the nearest cent

2.58

Answer:

Step-by-step explanation:

2.58 saved

Answer:

Step-by-step explanation:

t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).

Answer:

option 1

Step-by-step explanation:

[tex]Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}[/tex]

Answer:

read the comments i cant help you yet but if you read the comments and do what they say then i can help you

Step-by-step explanation:

Answer:

- [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]

Answer:

18 T-shirts

Step-by-step explanation:

$4×18= $72 $72+$34=$106

Answer:

4

Hope that this helps!

Answer:

19.1628873772

Step-by-step explanation:

50.70500 ÷ 2.64600 = 19.1628873772

Answer:

10.35miles/hour

Step-by-step explanation:

(63,756 x 60)/ (70 x 5,280) = (3,825,360/369,600) = 10.35

(Application of division)

Answer:

10.35 mph

Step-by-step explanation:

(63,756 times 60) / (70 times 5280) in calculator is equal to 10.35

Answer:

16/13 is the answer.

26-10 is 16 and 2x5+3 is 13

Answer:

4

Step-by-step explanation:

26 - 25 + 3