Write 2^100 as a power with the following base of 32.

Answers

Answer 1

Answer:

your answer is 30

Step-by-step explanation:

I have completed the test


Related Questions

what is the equation of the line with slope -7 which goes through the point (2,5)

Answers

Answer:

y=-7x+19

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-7(x-2)

y=-7x+14+5

y=-7x+19

The equation of the line with slope - 7 which goes through the point (2, 5) is

y = - 7x - 19.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line passes through points (2, 5) with a slope of - 7.

∴ 5 = -7(2) + b in slope-intercept form.

5 = - 14 + b.

b = - 19.

y = - 7x - 19.

learn more about lines and slopes here :

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What’s the slope of a line that goes through (0,2)(7,5)

Answers

Answer:

slope = 3/7 or 0.43

Step-by-step explanation:

use the slope(gradient) formula

The function f is given by f(x) = (x + 3)^2 - 1.
1) Write the coordinates of the vertex of the graph of f.
2) Does the graph open up or down? How do you know?

Answers

Answer:

the coordinate of the vertex is going to be (-3,-1) and it's concave up

Step-by-step explanation:

1.notice this function is in graphing form (x-h)^2+k, where (h,k) is your coordinate of the vertex, hence in this problem it's going to be (-3,-1)

2. notice that this function have a parent function of x^2, where it's a parabola that is concave up which in this case is basiclly the same shape it's also concave up

In calculus, we can proof it by finding the first derivatives and find the critical points, then take the second derivative at that critical points to see if that's negative or positive in this case it's positive

make t the subject q= 1+3t/2-t

Answers

Answer:

t = dfrac-1 + 2 q3 + q.

Step-by-step explanation:


Figure A is a scale image of figure B.

Pls help!!!

Answers

x = 5.25

since there is a scale factor of 1.75, you multiply 3 * 1.75 and get 5.25

hope this is helpful!

Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It costs a player £1.40 for a turn.A player can win £6 or £3 as in the diagrams:If 216 people are to play, how much profit can Ayo expect to make?

Answers

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The expected value is given by the sum of each outcome multiplied by it's respective probability.

In this problem:

The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is [tex]\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}[/tex].The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is [tex]\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}[/tex]In the other cases, Ayo wins £1.40, with [tex]1 - \frac{18}{72} = \frac{54}{72}[/tex] probability.

Hence, his expected profit for a single game is:

[tex]E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583[/tex]

For 216 games, the expected value is:

[tex]E = 216(0.2583) = 55.8[/tex]

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at https://brainly.com/question/24855677

PLEASE ANSWER ASAP WORTH 10 PTS
Describe the graph of the line y = -5.
line with slope of -5
horizontal line
crosses the x-axis
vertical line

Answers

The answer is Vertical line

Solve for X. Please help ASAP.

Answers

Answer:

x = 36.87

Step-by-step explanation:

Find the length of the missing side.

x^2 + 12^2 = 15^2

x^2 + 144 = 225

x^2 = 81

x = 9

Now use the law of sines:

sin(90)/15 = sin(x)/9

Multiply each side by 9

9 * sin(90)/15 = sin(x)

0.6 = sinx

sin^-1 = 36.86989 rounded to 36.87

Matthew wants to buy a new pair of jeans. If the jeans were originally $65.00, but are on sale with a 10% discount, how much will Matthew have to pay for the jeans?​

Answers

10% off means the jeans will sell for 90% of the original price ( 100% - 10% = 90%)

Multiply the original price by 90%

65.00 x 0.90 = 58.50

He will pay $58.50

Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!

Answers

Answer:

The awnser should be 4. (3x4 = 12, 12 x 4 = 48, 48 x 12 = 192, 192 x 4 = 768. )

Step-by-step explanation:

(Hope this helps, Happy holidays!!)

4. But what happened to the paper? Looks like it’s been through stuff.

Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase?

Answers

Answer:

$132.74

Step-by-step explanation:

6.75% = 0.0675

Multiply 124.35 by 1.0675 because sales tax is added to original cost.

(124.35)(1.0675) = 132.74

The total cost of Anya's purchase of home improvement hardware is 132.74  dollars.

What is percentage?

The percentage is the value per hundredth.

According to the given question, the sales tax is 6.75% which is not included in the home improvement hardware which cost Anya 124.35 dollars.

∴ The total cost of Anya's purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,

= (106.75/100)×124.35 dollars.

= 1.0675×124.35 dollars.

= 132.74 dollars.

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how do you write 100 s a fraction, mixed number, or whole number

Answers

In fraction 100/100
In mixed number 10 0/10
Simplest form = 100

I hop this helps! :)

Please help me solve this

Answers

Answer:

i think 2²m² is answer. you are correct, my sweetie !

Answer:

c)

[tex] {2}^{2} {m}^{2} [/tex]

Step-by-step explanation:

2 × 2 =4 it can also be written as 2^2( 2 squared) which also equals 4

same with m

7. What is the slope of the line that goes through (0,0) and (5, -1)7

1/2
-1/2
2
-2

Answers

Answer:

-1/5

Step-by-step explanation:

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

m=(-1-0)/(5-0)

m=-1/5

1 6. ) b) The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? ​Plzz help me

Answers

Answer:

Solution given:

weight of moon=1/6 th of Earth

If weight of Earth is 18/5 kg

weight of moon=?

we have

weight of moon: 1/6 of weight of Earth

=1/6*18/5

=3/5kg

Its weight on moon is 3/5 kg

round 0.006772 to 1 significant figure

Answers

Answer:

0.007

Step-by-step explanation:

0's before other numbers are non-significant. Then you just round your number.

Hope that helps

Can someone please help me with number 49? :D ty!

Answers

Answer:

The answer is 4.5 cups I hope this helps :D

Write a two- column proof.

Given: 3x = x + 12
Prove: x =5​

Answers

3x-x=12
2x=12
x=12/2
x=6

is (1, 3) a solution to the system of equations


8x + y = 11


12x + 2y = 18

Answers

Answer:

(1, 3) a solution to the system of equations

8x + y = 11

12x + 2y = 18

Step-by-step explanation:

ay están todos los deberes de la semana pasada gunnorni

Answer:

x=1 and y=3

Step-by-step explanation:

yes x=1 and y=3 is the solution for the equation.just by making y in the first equation subject of the formula and replacing in the second equation.

Solve each system by elimination

10x-8y=4
-5x+3y=-9

Answers

[tex]10x-8y =4~~~....(i)\\\\-5x+3y=-9~~~...(ii)\\\\\text{Multiply equation (ii) by} -2\\\\10x-6y = 18~~~...(iii)\\\\(iii)-(i):\\\\10x-6y - 10x +8y = 18 -4\\\\\implies 2y = 14\\\\\implies y= \dfrac{14}2 = 7\\\\\text{Substitute y = 7 in equation (i):}\\\\10x-8(7) =4\\\\\implies 10x - 56 =4\\\\\implies 10x = 4+56\\\\\implies 10x = 60\\\\\implies x = \dfrac{60}{10} = 6\\\\\\\text{Hence (x,y) = (6, 7)}[/tex]

Evaluate the expression for x = 5 and y = -1
xy - y =

Answers

Answer:

-4

Step-by-step explanation:

xy-y = ?

(5)(-1)-(-1) = ?

-5 + 1 = -4

Hope that helps

Point A=(7,9) is dilated from the origin by scale factor of r=11. what are the coordinates of point A

Answers

Answer:

42 and 54

Step-by-step explanation:

Need some help with this one.

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

Answer:

y = -3x + 7 (above)

Step-by-step explanation:

To add on, the person above me is correct. The equation of the line is in mx + b, where m is slope and b is the y-intercept.

We see the line intercepts the y axis at (0,7). Therefore the equation is y= mx +7

Now we look for m, the slope. If you may remember slope is also change in y over change in x, or rise/run. If you look at the graph, for each unit to the right, the line drops 3 units(it goes down, so negative). Therefore the slipe would be -3/1, or -3.

Plugging that in,

y = -3x + 7

In ΔMNO,
m

M
=
(
6
x
+
1
)

m∠M=(6x+1)

,
m

N
=
(
3
x

10
)

m∠N=(3x−10)

, and
m

O
=
(
x
+
19
)

m∠O=(x+19)

. Find
m

N
.
m∠N.

Answers

Answer:

Step-by-step explanation:

All the angles in a triangle add up to 180°

So you need to add up all your angles and set them equal to 180°

angleM + angleN + angleO=180

(6x+1) + (3x-10) + (x+19)= 180

We don't actually need all these parentheses; this is all just addition and subtraction.

6x+1+3x-10+x+19 =180

Add all the x terms together. Add all the constants (plain numbers) together.

10x + 10 =180

Subtract 10 from both sides

10x =170

Divide by 10.

x = 17

But you need one more step because if you reread the question, you are being asked for the measure of angle N, which is 3x - 10

3*17 - 10 =

51 - 10 =

41

The measure of angle N is 41°

pls help me with this:((((​

Answers

The slope-intercept form is
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
y
=
m
x
+
b
y
=
m
x
+
b
Find the values of
m
m
and
b
b
using the form
y
=
m
x
+
b
y
=
m
x
+
b
.
m
=
3
m
=
3
b
=

12
b
=
-
12
The slope of the line is the value of
m
m
, and the y-intercept is the value of
b
b
.
Slope:
3
3
y-intercept:
(
0
,

12
)

HEYY CAN U HELP PLS NO WRONG ANSWERRS
Part C
For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.
Part F
Solve the equation from Part C so that y is by itself on one side of the equation. How are this equation and the equation of the line related? What does this relationship mean about any triangle created using this line?
this is part C

Answers

Answer:

y       t

_  = _

2     1

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

so

The proportion is equal to

Matthew spent 2/3 of his birthday on books and 1/4 of his birthday money on snacks. He says he spent 3/7 of his birthday money.

Which statement is most accurate?


*Disclaimer* show work

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex] = [tex]\frac{8+3}{12}[/tex] = [tex]\frac{11}{12}[/tex] ≈ 1

The correct answer is the last one (C)

-
5. Tanya wants to subtract 62 - 48. What are some
ways she can find the difference? Choose a way
and show the work needed to find the difference

Answers

Calculate difference between those two numbers first, or guess and remove a fraction of a number each time like eg.5

Convert the equation g(x) = −(x − 7)2 +5 into standard form.

Answers

Answer:

7

Step-by-step explanation:

You have to add 2 and 5, the rest is stuff to distract you

Use the quadratic formula to solve for x.

9x^2-3x=1
Round the answer to the nearest hundredth
Last question.

Answers

Answer should be if not sorry
X= 1-5/6
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