Write the expression 4^4(4^-7)(4) using a single
exponent.
4^-28
4^-4
4^-3
4^-2

Answers

Answer 1

Answer:

4^(-2)

Step-by-step explanation:

4^4(4^-7)(4)

We know that a^b * a^c = a^(b+c)

4^4(4^-7)(4^1)

4^(4+-7+1)

4^(-2)


Related Questions

What is the distance from point N to LM in the figure below?

Answers

Let me see the rest of the answers choices

Answer:

It is 7.5

Step-by-step explanation:

I need help please. The question is already there. Tysm. 20 points.

Answers

Answer:

$109 and 35%

Step-by-step explanation:

49.05 is the sale price and the discount is 55%. What’s the original price?

price/ 1- discount

49.05/ 1 - 0.55

49.05/ 0.45

109

for the other part

to find the discount subtract final price from original price

94 - 61.10 = 32.9

Which would be 35% in percent form.

find the missing side. Round it the nearest tenth.​

Answers

Answer: x= 11√3= 19.0525 = 19.1

Step-by-step explanation:

Let the reference angle be 30

so

cos 30 = b/h

√3/2 = x/22

or, 22√3 = 2x

or. x = (22√3)/2

so, x = 11√3

Answer:

x = 19.1 cm

Step-by-step explanation:

→ Find the name of the side you are not given

Opposite

→ Find a formula without opposite in it

Cos = Adjacent ÷ Hypotenuse

→ Rearrange to make adjacent the subject

Adjacent = Cos × Hypotenuse

→ Substitute in the values

Adjacent = Cos ( 30 ) × 22

→ Simplify

Adjacent = 19.1

Help me! thank you so much

Answers

Answer:

Step-by-step explanation:

[tex]\frac{sinxcos^3x-cos xsin^3x}{cos^42x-sin^42x} \\=\frac{sin x cos x(cos^2x-sin ^2 x)}{(cis^2 2x+sin^2 2x)(cos^2 2x-sin ^22x)} \\=\frac{2sin x cos x cos 2x}{2(1)(cos 4x)} \\=\frac{sin 2x cos 2x}{2 cos 4x} \\=\frac{2 sin 2x cos 2x}{4 cos 4x} \\=\frac{sin 4x}{4 cos 4x} \\=\frac{1}{4} tan 4x[/tex]

For the function F defined by F(x)=x2−2x+4, find F(|−4|).
A. 8
B. 4
C. 12
D. 28

Answers

Answer:

12

Step-by-step explanation:

F(x)=x^2−2x+4

Let x = |-4| = 4

F(|-4|)=4^2−2(4)+4

     = 16 -8+4

    = 8+4

     = 12

please please please help asap

Answers

Answer:

1,3,5

Step-by-step explanation:

81 is a perfect square so it can be written as an integer

11.8 is rational because it can be written as a fraction (107/9)

sqrt(6) isn't a perfect square so it is irrational

3/7 is a fraction so it is rational

8.57 is a terminating decimal so it is rational

a piece of work can be done by 24 men in 15 days.in how many days can 18 men do the same work?​

Answers

18 people is 25% less people so will take 25% longer

25% of 15 is 3.75

3.75+ 15 = 18.75 days ?

Evaluate the following
expression using x = 6:
8(3x + 1)


Anyone know the answer

Answers

Answer:

152

Step-by-step explanation:

Substitute the given value for x.

[tex]8(3(6)+1)\\8(18+1)\\8(19)\\152[/tex]

Answer:

152

Step-by-step explanation:

8(3x+1)

Let x = 6

8(3*6+1)

Multiply inside the parentheses

8(18+1)

Add inside the parentheses

8(19)

Multiply

152

Helpppp pleaseeee !!!!!!

Answers

Answer:

149 inches squared

Step-by-step explanation:

top rectangle: 25 * 7 = 175

second rectangle: 8 * (25 - 17) = 8^2 = 64

triangle in bottom right: 1/2 * (13 - 8) * (15 - 11) = 10

175 + 64 + 10 = 149 sq in

hopefully got this right!

Find the difference quotient for f(x) = x2 + 4.

Answers

I am trying to simplify a difference quotient with the form

f(x+h)−f(h)/h

if f(x)=2/x2 I have attempted to cancel out the denominator of the numerator by the least common denominator method. I know that I can solve this using implicit differentiation, but am trying to use the difference quotient to get the partial derivative

Here is my work so far:

f(x+h)−f(x)(h)

=f(2/(x+h)2)−f(2/x2)h

=(2/(x+h)2)−(2/x2)h

here I multiply by the LCD

=(2(x2)−2(x+h)2)/(x2(x+h)2)h

Here I expand out the top and cancel out 2x2

=(2x2−(2x2+4xh+2h2))/(x2(x+h)2)h

=−(4xh+2h2)/(x2(x+h)2))h

Here I think I should multiply by 1/h to get rid of the h on the bottom

I end up with:

=4xh+2h2hx2(x+h)2

factor out an h

=−4x+2hx2(x+h)2

help lol i forgot everything of the summer time

fill in the table using this function rule

Answers

Answer:

hope it help you

Step-by-step explanation:

mark me brailiest answer

What I do is plug x into the equation to find y

1. Y=-4(-1)+3
Y=4+3
Y=7
2. Y=-4(0)+3
Y=0+3
Y=3
3. Y=-4(1)+3
Y=-4+3
Y=-1
4. Y=-4(2)+3
Y=-8+3
Y=-5

Hope this helps!! :)

In Circle H with m<GKJ=38, Find the m<GHJ​

Answers

Answer:

the angle GHJ would be 76 because the central angle is always double the measurement of the inscribed angle

Jay has a jar of beads. 6 purple beard, 8 blue beads, and 4 yellow beads. If he removes one bead at random, what is the probability that it will not be yellow?

Answers

You get a pie chart to do percentages just so you dont cheat you still can do work y'know

Select the best answer to describe the parabola

Answers

Positive parabola that has a minimum.

It’s positive if it opens upward, negative if it opens downward. It has a minimum if it opens upward, and maximum when it opens downward.

josh is standing on the top of a building that is 425 feet tall. He throws a penny up into the air with an initial of 32 ft/sec. How long does it take for the penny to hit the ground?
Y = -4.9x^2 + 32x + 425

A. 10 seconds

B. 6.25

C. 400

D. 0 seconds

Answers

Answer:

A

Step-by-step explanation:

cause it will be more faster just because it is in a solid phase or it is solid

The time taken to hit the ground is 6.25 sec.(Option B)

How to calculate time?

It is given that penny follows the trajectory:

[tex]y = -4.9x^2 + 32x + 425[/tex]

Differentiating it we get:

[tex]\dfrac{dy}{dx} =-9.8x+32[/tex]

At y=425, it is obvious that x=0

So dy/dx at x=0 is 32.

Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).

Ф[tex]=\tan^{-1}(32)[/tex]

Vertical component=[tex]32*\sin(\tan^{-1}(32))[/tex]=31.98 ft/sec

Now applying the equation of motion: acceleration=-32ft/sec^(2)

u=31.98ft/sec   s=-425   t=?

[tex]s=ut+\frac{1}{2} at^{2}[/tex]

[tex]-425=31.98t-16t^2[/tex]

[tex]16t^2-31.98t-425=0[/tex]

Solving the quadratic equation we get:

t=6.249 sec≅6.25 sec

Therefore, the time taken is 6.25 sec.

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SAT/ACT What is the solution of 1,200 – 5(3x + 30) = 600? A 30 B 50 C 150 D 200 E 250​

Answers

The answer you are looking for is letter A, x=30.

Solution/Explanation:

First, write out the equation,

1200-5(3x+30)=600

Next, using the Distributive Property,

1200-15x-150=600

Simplify the left side of the equation just a little bit more,

1050-15x=600

Reverse order of terms on the left side, to make it a little bit easier to solve,

-15x+1050=600

Now, subtract 1050 from both sides,

-15x+1050-1050=600-1050

Now, simplify this part of the equation,

-15x=-450

Finally, divide both sides by -15,

So, therefore, the final answer is x=30.

I hope this helped you. Enjoy your day, and take care!

Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04. Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers.

Answers

The Constructed  confidence interval for the proportion of her photographs taken within the last year contained flowers is

[tex]CI\ E(0.57,0.65)[/tex]

From the question we are told that:

The proportion of photographs that had flowers P= 0.61

Margin of error of M.E= 0.04

Generally, the equation for Confidence interval for proportion is mathematically given by

[tex]CI=0.61 \pm 0.04[/tex]P \pm M.E

Therefore Confidence interval is

[tex]CI=0.61 \pm 0.04[/tex]

And can also be written as

[tex]CI\ E((0.61+0.04),0.61-0.04))[/tex]

[tex]CI\ E(0.57,0.65)[/tex]

In conclusion the Confidence interval is

[tex]CI\ E(0.57,0.65)[/tex]

For more information on this visit

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If give 7 billions for 7 millions people. What is total?

Answers

Answer:

this is a very big number

Step-by-step explanation:

(7000000000)⁷⁰⁰⁰⁰⁰⁰

What is the quotient?
(-3)
(-3)²
O-9
1
o
1
9
100
O 9

Answers

Answer:

(-3)

Step-by-step explanation:

follow me if you want

what is the degree of the polynomial below

Answers

Answer:

d

Step-by-step explanation:

trust me gang

Answer:

the degree is the value of the highest exponent... 4x^3 the exponent is a three

answer "D"

Step-by-step explanation:

Evaluate 4(3 - 1)^2..

Answers

Answer:

16

Step-by-step explanation:

4(3 - 1)^2

~Simplify using PEMDAS

4(2)^2

4(4)

16

Best of Luck!

The chance of solving a problem by A and B is and 1/3 and 2/5 respectively. What is the probability the problem will be solved?
a)2/15
b)1
c)9/15
d)11/15
Books shows "c" as the answer.. I am confused.. ​

Answers

We want to compute the probability P(A or B) because we could either solve it following path A, path B, or doing both paths.

P(A) = 1/3

P(B) = 2/5

P(A and B) = P(A)*P(B)  assuming A,B are independent

P(A and B) = (1/3)*(2/5)

P(A and B) = 2/15

--------

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 1/3 + 2/5 - 2/15

P(A or B) = 5/15 + 6/15 - 2/15

P(A or B) = (5 + 6 - 2)/15

P(A or B) = 9/15

We could reduce this to 3/5, but it appears your teacher has chosen not to.

Solve the inequality 2x – 22 < -8.

Answers

2x - 22 < -8

Add 22 to both sides

2x < 14

Divide both sides by 2

X < 7

Answer:

[tex]2x-22<-8[/tex]

Add 22 to both sides

[tex]2x-22+22<-8+22[/tex]

[tex]2x<14[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}<\frac{14}{2}[/tex]

[tex]x<7[/tex]

OAmalOHopeO

Which type of transformation is this?

Answers

Reflection across the x-axis

The type of transformation in this situation is refelction on the x-axis.

It cannot possibly be translated or rotated around the origin.

Hope this helps!

Have a wonderful day!

What would it be tho 300 doesn’t show up in my options my options are
1/49 -1/49 -49 and 49

Answers

1/49 would be the answer

4. a) x2 + xy2 + y 4

Answers

Answer:

x2 + xy2 + y 4=(x+y^2)^2-xy^2

Step-by-step explanation:

Difference of the square of (x+6)(x+4)

Answers

Answer:

x^2 + 10x + 24

Step-by-step explanation:

(x+6)(x+4)

x^2 + 4x + 6x + 24

x^2 + 10x + 24

7x+2y=19
7x+8y=13
Please solve it by Simultaneous method

Answers

Answer:

y=-1

x=3

Step-by-step explanation:

7x+2y=19-----(1)

7x+8y=13------(2)

(1)-(2)

(7x+2y)-(7x+8y)=19-13

7x+2y-7x-8y=6

+2y-8y=6

-6y=6

y=-1

by substitute in (1)

7x+2*(-1)=19

7x-2=19

7x=19+2

7x=21

x=21/3

x=3

Here is a list of fractions 18/45 14/30 10/25 8/20 16/40 one of these fractions are not equivalent to 2/5 write down this fractions

Answers

Answer:

14/30

Step-by-step explanation:

How to simplify: • divide both numerator and denominator by their GCF.18/45= 18 ÷ 9 / 45 ÷ 9= 2/514/30= 14 ÷ 2 / 30 ÷ 2= 7/1510/25= 10 ÷ 5 / 25 ÷ 5= 2/58/20= 8 ÷ 4 / 20 ÷ 4= 2/516/40= 16 ÷ 8 / 40 ÷ 8= 2/5

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

[tex]\frac{14}{30}[/tex] is not equivalent to [tex]\frac{2}{5}[/tex] in the list of fractions [tex]\frac{18}{45}, \frac{14}{30} , \frac{x}{y} \frac{10}{25}, \frac{8}{20}, \frac{16}{40}[/tex].

Equivalent Fractions

Equivalent fractions represent the same value even though they look different.

How to determine the Equivalent fractions?

We know we can find an equivalent fraction of a given fraction by or dividing both the numerator and denominator of the given fraction with the same number (maybe LCM or HCF of the numerator or denominator).

[tex]\frac{18}{45}=\frac{18/9}{45/9}=\frac{2}{5}[/tex] (since [tex]9[/tex] is HCF of [tex]18, 45[/tex])

[tex]\frac{14}{30}=\frac{14/2}{30/2}=\frac{7}{15}[/tex] (since [tex]2[/tex] is HCF of [tex]7, 15[/tex])

[tex]\frac{10}{25} =\frac{10/5}{25/5} =\frac{2}{5}[/tex] (since [tex]5[/tex] is HCF of [tex]10, 25[/tex])

[tex]\frac{8}{20} =\frac{8/4}{20/4} =\frac{2}{5}[/tex] (since [tex]4[/tex] is HCF of [tex]8, 20[/tex])

[tex]\frac{16}{40} =\frac{16/8}{40/8} =\frac{2}{5}[/tex] (since [tex]8[/tex] is HCF of [tex]16, 40[/tex])

Thus, [tex]\frac{14}{30}[/tex] is not equivalent to [tex]\frac{2}{5}[/tex].

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The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.

Answers

Answer:

Area of each sector=[tex]12.6cm^2[/tex]

Step-by-step explanation:

We are given that

Length of each wooden od that connects the center of the fan to its edge ,r=12 cm

Total number of sectors=18

We have to find the approximate area of each sector.

Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]

Using the formula

Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]

Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]

Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]

Where [tex]\pi=3.14[/tex]

Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]

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