(4 times 2 to the third power) - (64 divided by 8)

Answer:

yes

Step-by-step explanation:

no

Answer:

6 in

Step-by-step explanation:

The angle bisector divides the opposite side into segments that are proportional to the other 2 sides.

let the third side of the triangle be x , then

[tex]\frac{9}{x}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )

6x = 36 ( divide both sides by 6 )

x = 6

The third side of the triangle is 6 in

Answer:

(a) Yes Yes No No

(b) Yes No No Yes

Step-by-step explanation:

(a) [tex]\frac{-9}{10}=-\frac{9}{10}[/tex]

[tex]\frac{9}{-10}=-\frac{9}{10}[/tex]

[tex]\frac{-9}{-10}=\frac{9}{10}[/tex]

[tex]\frac{9}{10}=\frac{9}{10}[/tex]

(b) [tex]\frac{-3}{8}=\frac{3}{-8}[/tex]

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

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

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

Answer:

3500[tex]\pi[/tex] = 10995.57 in³ (nearest hundredth)

Step-by-step explanation:

area of a circle = [tex]\pi r^2[/tex]

⇒ area of a semicircle = [tex]\frac{1}{2}\pi r^2[/tex]

⇒ area of a quarter circle = [tex]\frac{1}{4}\pi r^2[/tex]

total area = 5 circles + 10 semicircles + 100 quarter circles

⇒ total area = [tex]5\pi r^2 +(10\times \frac{1}{2}\pi r^2)+(100 \times \frac{1}{4}\pi r^2)[/tex]

⇒ total area = [tex]35\pi r^2[/tex]

If r = 10 inches

⇒ total area = [tex]35\pi \times 10^2=3500\pi =10995.57 \ \textsf{in}^2 \ \textsf{(nearest tenth)}[/tex]

Answer:

C

Step-by-step explanation:

1 + 0.02 means the 2% growth every month, power 12 means for 12 month, and power of 2 mean 2 years.

Logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

A log function is a way to find how much a number must be raised in order to get the desired number.

[tex]a^c =b[/tex]

can be written as

[tex]\rm{log_ab=c[/tex]

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Given to us

2⁵ = 32

As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,

[tex]2^5 = 32\\\\\rm log_2 32 = 5[/tex]

Hence, the logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

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Answer:

190 pages

Step-by-step explanation:

To solve the # of pages he would read in 5 hours, let's first find the number of pages he reads in one hour.

Next, we multiply 38 by 5.

Therefore, the answer is 190 pages.

Answer:

190 pages

Step-by-step explanation:

Given the following question:

Erin read 76 pages in 2 hours...
How many pages would he have read in 5 hours?

In order to find the answer, we divide the number of pages he read in two hours by two. To find the number of pages he reads in 1 hour, then just multiply that answer by five.

[tex]2h=76p[/tex]
[tex]4h=76+76=152p[/tex]
[tex]76\div2=38[/tex]
[tex]152+38=190[/tex]
[tex]5h=190p[/tex]

In five hours, Erin would have read "190 pages" of his book.

Hope this helps.

Answer:

$76

Step-by-step explanation:

Regular price: $95

Discount %= 80%

What is 80% of 95

=) [tex]\frac{80}{100}[/tex]×[tex]\frac{95}{1}[/tex]=  76

So, $76 are discounted

Hope this helps!

Answer:

17.39

Step-by-step explanation:

48+a = 90

x= 42

sin 42 = x / 26

x = 17.39

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

To find volume of sphere first we have to convert Diameter into radius .

Diameter = 2 radius

So:-

⇢Diameter = 2 radius

[tex]\\[/tex]

⇢Radius = Diameter/2

[tex]\\[/tex]

⇢Radius = 8/2

[tex]\\[/tex]

⇢Radius = 2 × 2 × 2/2

[tex]\\[/tex]

⇢Radius = 2 × 2/1

[tex]\\[/tex]

⇢Radius = 4/1

[tex]\\[/tex]

⇢Radius = 4 mm.

[tex]\\[/tex]

Now Finally Let's find volume of sphere.

We know:-

[tex]\\[/tex]

[tex]\star\boxed{\rm Volume~of~sphere=\frac{4}{3}\pi r^3}[/tex]

so:-

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\frac{4}{3}\times 3.14 \times 4^3\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 4^3\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 4\times 4\times 4\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 64\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=1.33\times \dfrac{314}{100} \times 64\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere= \dfrac{1.33\times314 \times 64}{100}\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere= \dfrac{26,727.68}{100}\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=26,7.28 (approx)\\[/tex]

[tex]\\\\[/tex]

[tex] \therefore \underline{ \textbf{ \textsf{Volume~of~sphere = \red{26,7.28(approx)}}}}[/tex]

Answer: 20

Step-by-step explanation:

You do 40➗2 which you would get 20.

    Then you would round 20 to the nearest tenth, then you get 20.  

Because if the number on the left/right is between 0 and 4, the whole number stays the same.

Note: 0-4 stays the same   5-9 higher number.

    For example: Rounding 164 to the nearest tenth will become 160.

Answer:For example, choice A is incorrect because if the value of 10x + 3 were 4, then it would follow that x = 0.1, and the value of 5x + 6 would be 6.5, not 10.

Step-by-step explanation:

The answer is

3a + 5 = 12

subtract 5 from both sides

3a = 7

divide by 3 on both sides to isolate "a"

a = 7/3

Substitute 7/3 for "a" in the second equation

6(7/3) + 14

6 multiplied by 7/3 = 42/3 = 14

14 + 14 = 28

Answer:

28.26 units³

Step-by-step explanation:

gi solved kopo yan

Answer:

see below

Step-by-step explanation:

1. At least 2 points create a line
2. At least 3 points determine a plane
3. The intersection of two distinct planes is a line

3. The intersection of 2 coplanar lines is a point
5. A Plane can contain a line and a point not on the line

Answer:

Not the solution tp the system because the ordered pair should be true for both equations. However the last equation is not true.

Step-by-step explanation:

(-1,-2) is the solution of the system. x + y =-3 and 2x - y = -4*

x + y =-3 :

(-1)+ (-2) = -3

-1-2 =-2   -3=-3

2x - y = -4:

2(-1)-(-2)=-4

(-2) -(-2)= -4

0=-4

Hi there!

The solution to this system of equations is the point where the graphs of the equations intersect.

That point only will make both equations true.

So, where do these graphs meet?

First, look at the x-coordinate. It's -6.

Now, look at the y-coordinate. It's -2.

Thus, the answer is

(-6, -2)

Hope it helps!

Ask me if you have any doubts.

Enjoy your day!

~Misty~

Number 1

________________

Supplementary - either of two angles whose sum is 180°.

Complementary - either of two angles whose sum is 90°.

________________

Since we know that supplementary angles are angles that add up to 180° we can make an equation

________________

[tex]65+x=180\\x=115[/tex]

________________

Number 2

Since we know that complementary angles are angles that add up to 90° we can make an equation

________________

[tex]65+x=90\\x=25[/tex]

________________

[tex]{\huge{\boxed{\mathfrak{Answer}}[/tex]

Answer:

1) Slope = -1, y-intercept = 3

2) Slope = 1, y-intercept = -3

3) Slope = -3, y-intercept = 1

4) Slope = 3, y-intercept = -1

Step-by-step explanation:

In order to identify slope and y-intercept, you must find where each variable hits each axis when the other is 0.

For example, to find the y intercept of y=2x-4, you would substitute 0 in for x and solve for y.

y = 2(0)-4  --> y = -4

Thus, the point is (0, -4) with slope of 2. (The slope can be found by identifying the number, m, in front of 'x' from the equation y = mx + b.

Answer:

A. y = 3x-1; slope is 3 and y-intercept is -1

B. -x+3 = y; slope is -1 and y-intercept is 3

C. x-3 = y; slope is 1 and y-intercept is -3

D. y = 1-3x; slope is -3 and y-intercept is 1

Step-by-step explanation: woof

Answer:

[tex]x = \frac{-1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{2}{x} = -8[/tex]

[tex]2 = -8x[/tex]

[tex]x = \frac{-2}{8}[/tex]

[tex]x = \frac{-1}{4}[/tex]

Answer:

[tex]\sf x=-\cfrac{1}{4}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{2}{x}=-8[/tex]

[tex]\sf \cfrac{2}{x}x=-8x[/tex]

[tex]\sf 2=-8x[/tex]

[tex]\sf \cfrac{-8x}{-8}=\cfrac{2}{-8}[/tex]

[tex]\sf x=-\cfrac{1}{4}[/tex]

Step-by-step explanation:

with the introduction of fractions it is clear we are multiplying things to get the sequence.

that makes this a geometric sequence, meaning that every new term is created by multiplying the previous term by a certain constant number, the ratio r.

what do we have to multiply with the first term (6) to get -4 ?

6×r = -4

r = -4/6 = -2/3

to check we use the same factor with the second term and see, if we get the predefined third term :

-4 × -2/3 = 8/3

correct, perfect.

so,

a0 = 6

an = an-1 × -2/3 = a0 × (-2/3)^(n-1) = 6 × (-2/3)^(n-1)

for the sum of a finite number of terms of a geometric sequence the formula is :

Sn = a0×(r^n - 1) / (r - 1) if |r| > 1

Sn = a0×(1 - r^n) / (1 - r) if |r| < 1

Sn = a0×n if r = 1

in our case : |-2/3| = 2/3 < 1

S8 = 6×(1 - (-2/3)⁸) / (1 - (-2/3)) =

= 6×(1 - 256/6561) / (3/3 - -2/3) =

= 6×(6561/6561 - 256/6561) / (5/3) =

= 6×(6305/6561) × (3/5) = 2×(6305/2187) × (3/5) =

= 2×(1261/2187) × 3 = 2×(1261/729) =

= 2522/729 = 3.459533608...

≈ 3.46

Step-by-step explanation:

Slope formula:

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

m = slope

Substitute the points into the formula format:

[tex] \frac{7.5}{3} - \frac{5}{6} = m[/tex]

Solve:

[tex] \frac{ 7.5}{3} - \frac{5}{6} = \frac{2.5}{ - 3} [/tex]

[tex] \frac{ 2.5}{ - 3} = - \frac{5}{6} [/tex]

The slope equals -5/6.

Answer:

Step-by-step explanation:

Take the six cantaloupes divide it by 32 pieces 6 divided by 32 is 0.1875

The amount of the cantaloupe in each portion will be;

⇒ 5.33

What is mean by Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Six cantaloupes are cut into 32 equal portions for a catering event.

Now,

Since, Six cantaloupes are cut into 32 equal portions.

Hence,

In each portion, the amount of cantaloupe = 32 ÷ 6

                                                                   = 32 / 6

                                                                   = 5.33

Therefore,

The amount of the cantaloupe in each portion will be;

⇒ 5.33

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Answer:

There is no way that 4/5 can equal a thing with 3 as a denominator

Step-by-step explanation:

4/5 is already simplified, but it does equal 8/10 or 12/15

Answer:

114 books.

Step-by-step explanation:

I'm pretty sure what you have to do is just subtract 16 from 130. (130-16).  

When you do that you get 114 books.  (sorry for basically no explanation.)

(fog)(3) = 22

Step-by-step explanation:

f(x + 3x - 5; g(x)=x²9(3)=3²=9

(fog)(3) = f(g(3)) = f(9)=3-9-5=27

-5-22 [Ans]

Answer:

4x-8u+10

Step-by-step explanation:

You take the -2 inside the brackets to remove the brackets. (parenthesis=brackets)

-2×-2x=4x

-2×+4u=-8u

-2×-5=10

4x-8u+10

Answer:

0.750 kg

Step-by-step explanation:

Hi there ,

As you know 1 kg = 1000g

So when we convert g to kg then we divide the given value of grams by 1000.

So in this case we have 750 grams, changing it we have :

[tex]\frac{750}{1000}[/tex]

Since there are 3 zeroes in 1000 we move the decimal point by 3 places to the left leaving the answer as : 0.750 kg or [tex]\frac{750}{1000}[/tex] kg

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Answer:

11. 130°, obtuse angle

12. 40°, acute angle

13. 90°, right angle

14. 110°, obtuse angle

15. same as 14, I guess?

Step-by-step explanation:

questions 11, 14, 15 - an obtuse angle is an angle greater than 90° but less than 180°

question 12 - an acute angle is an angle that is less than 90°

question 13 - a right angle is exactly 90°

in question 14 the angle starts at 30° and ends at 140° so you subtract 30 from 140

hope this helps :)

Coterminal angles are measured from the positive x-axis. The coterminal angle for angle 45° is (270°+45°).

Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.

Given to us

θ = 45°

We know that coterminal angles are those angles that are measured from the positive x-axis of the coordinate plane.

In order to find the angle coterminal with a 45° angle, we will deduct θ from 360°, therefore we will measure the from positive x-axis but in the clockwise direction.

[tex]\theta _1 = 360^o - \theta\\\\\theta _1 = 360^o - 45^o\\\\\theta _1 = 315^o\\\\\theta _1= 270^o + 45^o[/tex]

Hence, the coterminal angle for angle 45° is (270°+45°).

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Answer:

c.45° + 270°

Step-by-step explanation: