7-^3
Simplify this expression. Use 7 as the base.

Answer:

A

Step-by-step explanation:

Answer:

r ≈ 12.1

Step-by-step explanation:

from the diagram the radius r of the circle is GM and GE and

GA = r - 4

using Pythagoras' identity in right triangle AGM , then

9² + (r - 4)² = r² ← expand factor on left using FOIL

81 + r² - 8r + 16 = r² ( subtract r² from both sides )

97 - 8r = 0 ( subtract 97 from both sides )

- 8r = - 97 ( divide both sides by - 8 )

r = [tex]\frac{-97}{-8}[/tex] ≈ 12.1 ( to 1 dec. place )

The total balance of Greg account after he makes the monthly payment for July is $864.99.

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

It can be calculated with the following formula.

[tex]M=P\left(1-\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]

Here, (P) is the principal amount, (r) is the interest rate and (t) is time.

Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance.

His card has an apr of 11.45%, compounded monthly. At the beginning of May, Greg had a balance of $318.97 on his credit card.

In the Month of May he make payment of 46.96, 33.51, and 26.99. Greg had a balance of $318.97 on his credit card. The total balance after the end of may is,

[tex]P=46.96+33.51+26.99+318.97\\P=426.43[/tex]

The financial charge on this payment with Apr 11.45% is 4.07. Thus, the payment become 430.5.

The payment for the June 97.24, 112.57,72.45. The payment at the end of June is 719.56 and financial charge is 10.22.

The payment become 722.98. The payment for the June 41.14, 101.84. At the end of July 865.96.

The total balance of Greg account after he makes the monthly payment for July is $864.99.

Learn more about the monthly payment here;

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Answer:

b

Step-by-step explanation:

Answer:

(B)45°, 67.5°

Step-by-step explanation:

A regular polygon is a polygon in which all the sides are equal.

An Octagon is a polygon with 8 sides.

Since it is a Regular polygon, the following holds:

1.The Radii are equal

2. The angle Subtended by two radii are equal for all triangles in the octagon.

3. There are 8 Isosceles triangles in the octagon.

(a)Measures of angle formed by Two radii

From the centre of the octagon, there are 8 equal angles.

Sum of Angle at a point= 360°

Each Angle=360°÷ 8 = 45°

The measures of angle formed by two radii is 45°.

(b)a radius and a side of the polygon.

Since the triangles are Isosceles, the base angles at the side of the octagon are equal.

Let x be the angle made by a radius with a side.

From (a) above,

x+x+45°=180°(Sum of Angle in a Triangle)

2x=180-45°

2x=135°

x=135°÷2=67.5°

The angle between a radius and a side of the polygon is 67.5°.

Step-by-step explanation:

Answer:

what is the question exactly

Step-by-step explanation:

Answer:

(Its so important to show pictures where pictures when they are needed lol)

Based on the y-values in the table, the exponential function appears to grow FASTER THAN then linear function.

Step-by-step explanation:

Picture below

Answer:

f/6 - 20 = 34.75

f = -88.5

Step-by-step explanation:

-88.5/6 = -14.75

-14.75 - 20 = 34.75

Answer:

-$7.20

Step-by-step explanation:

-$2.40 x 3 = -$7.20

The probability of randomly selecting a hat from a costume closet of 8 dresses, 3 shirt , 5 pairs of pant and 4 hats is 1 / 5

probability = number of favourable outcomes / total number of the possible outcome

Therefore,

probability of randomly selecting a hat = number of hat / total number of possible outcome

Therefore,

number of hat = 4

total number of possible outcome = 8 + 3 + 5 + 4 = 20

Therefore,

probability of randomly selecting a hat = 4 / 20

probability of randomly selecting a hat = 1 / 5

learn more on probability here: https://brainly.com/question/26285302

Answer:

56

Step-by-step explanation:

Answer:

There should be 5 lines of symmetry.

Step-by-step explanation:

Carla's draw only one line of symmetry but in a regular pentagon there should be 5 line of symmetry.

Here,

Carla was asked to draw all the lines of symmetry for a regular pentagon.

She drew the picture as shown.

We have to find Carla's mistake.

What is Regular Pentagon?

A regular pentagon is a pentagon that has 5 equal sides and 5 equal angles.

Now,

As shown in figure,

Carla's draw only one line of symmetry.

But in a regular pentagon there should be 5 line of symmetry.

Hence, There should be 5 line of symmetry.

Option 4 is true.

Learn more about the regular pentagon visit:

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3. 3x = 12

An open statement in math means that it utilizes variables, and can only be concluded as being "true" or "false". The problem would result in asking whether or not it is always true or not. In this case, x will be true when you plug in 4, however, it will not be true when you plug in any other number. Therefore, it is a closed statement that can be falsified.

4. Open.

The statement can be true if the variable g is 35, however, it is false if it is not. An open statement concludes that it may or may not be correct, thereby being open.

~

Hello! The answer is 69.11

Step-by-step explanation:

This is the formula you use: Circumference = 2 * π * r

r = Radius, the radius is just half of the (22) diameter, so half of 22 is 11.

2 * π * 11 =  69.11

Answer:

6h+14k

Step-by-step explanation:

Multiply 2by 3h which gives 6h then multiply 7k by 2 which gives 14k.

Since 6h and 14k are not like terms u cannot add so your answer will be 6h + 14k.

Answer:

9h² + 42hk + 49k²

Step-by-step explanation:

Given

(3h + 7k)²

= (3h + 7k)(3h + 7k)

Each term in the second factor is multiplied by each term in the first factor, that is

3h(3h + 7k) + 7k(3h + 7k) ← distribute both parenthesis

= 9h² + 21hk + 21hk + 49k² ← collect like terms

= 9h² + 42hk + 49k²

Answer:

(0,6)

Step-by-step explanation:

First, deal with the reflection. Reflecting the triangle over the x axis will reflect it vertically into the upper right quadrant. Because it is reflected vertically, the x values of the vertices will not change and the y values will be the negative of whatever value they are originally. If the coordinates of each vertex are (x,y), you can easily find their new location by changing it to (x,-y). After the reflection, the coordinates of the vertices are as follows:

A = (2,6) [originally (2,-6)]

B = (2,1) [originally (2,-1)]

C = (5,6) [originally (5,-6)]

Now, deal with the translation. A translation of -5 units horizontally means that the triangle will be moving 5 units to the left. The y values will be unaffected by the translation. To find the new coordinates, subtract 5 from the x values of the coordinates after the reflection.

A = (-3,6)

B = (-3,1)

C = (0,6)

Therefore, the answer is (0,6).

Answer:

The answer would be D

Step-by-step explanation:

Because  We multiplied 25 by 100, because there are 100 cents in a dollar, and we divided 2,500 by 5, because there are 5 cents in a nickel.

Answer:

54

Step-by-step explanation:

Answer:

B - In each round, the number of emails is 3 times the round before.

Step-by-step explanation:

This is because each time down, it is being multiplied by 3 again.

3

3 times 3 = 9

3 times 9 = 27 (can also be 3 times 3 times 3)

Answer:

YES

Step-by-step explanation:

To solve this inequality, you need to multiply both sides by -5.

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality symbol.

Answer: YES

Answer:

3.167

Step-by-step explanation:

subtract 5 1/2 from 8 2/3

Answer:

around 433.1 cm

find the first shape's volume.

L x W x H method.

[tex]4 * 10 * 8 = 320cm[/tex]

Length is eight, height is 4, and width is 10.

Now, the 2nd shape.

The formula of finding a sphere with a radius of 3 is V = 4/3[tex]pi^3[/tex]

In that case, the answer should be an estimated 113.1

Add the two cm's together.

[tex]320 + 113.1 = 433.1[/tex]

Please note that this is rounded to tenths place and estimated.

Please mark brainliest. Thanks! :)

First of all we will divide the figure in two shapes. One is hemisphere and other is a cuboid.

Volume of hemisphere:

[tex] \boxed{ \tt \:v = \frac{2}{3} \pi {r}^{3} }[/tex]

Volume of cuboid:

[tex] \boxed{ \tt \: v = length \times breadth \times height}[/tex]

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex] \sf \dashrightarrow \: v = \frac{2}{3} \times \frac{22}{7} \times {3}^{3} [/tex]

[tex] \sf \dashrightarrow \: v = \frac{2}{ \cancel3} \times \frac{22}{7} \times \cancel{27}[/tex]

[tex] \sf \dashrightarrow \: v = 2 \times \frac{22}{7} \times 9[/tex]

[tex] \sf \dashrightarrow \: v = \frac{396}{7} [/tex]

[tex] \sf \dashrightarrow \: v = 56.6 \: {cm}^{3} [/tex]

[tex] \bf \multimap \: v = 8 \times 10 \times 4[/tex]

[tex] \bf \multimap \: v = 80 \times 4[/tex]

[tex] \bf \multimap \: v = 320 \: {cm}^{3} [/tex]

[tex] \rm \leadsto \: total \: volume = 56.6 + 320 \: {cm}^{3} [/tex]

[tex] \rm \leadsto \: total \: volume = 376.6\: {cm}^{3} [/tex]

If we round to the nearest tenth the total volume is ᭄

[tex] \rm \twoheadrightarrow volume = 380 \: {cm}^{3} [/tex]

Answer:

4

Step-by-step explanation:

(-12) ÷ ( -3) = 4

In multiplication and division, if number of negative sign is even, the the result will be a positive integer

Answer:

1.75 + 0.3x = 7.45; 19 minutes

Step-by-step explanation:

The cost of the phone call is found by 1.75 + 0.30 multiplied by the number of minutes the calls lasts.  The cost of the call is 7.45 so 1.75 + 0.3x = 7.45.  Begin by subtracting 1.75 from each side of the equation.  That leaves 0.3x = 5.7.  Then divide both sides by 0.3.  This gives x = 19.

Answer:

arc QS = 95°

Step-by-step explanation:

the inscribed angle QSR is half the measure of its intercepted arc RQ , then

arc RQ = 2 × 95° = 190°

the sum of the arcs in a circle = 360° , then

arc QS = 360° - arc SR - arc RQ = 360° - 75° - 190° = 95°

Hey there!

In order to simplify the first expression, we need to use the Distributive Property:

4(7x-4)=28x-16 (the same as 4*7x-4*4)

Hence, the equivalent expressions are

[tex]\boxed{\boxed{\bold{28x-16\;and\;4*7x-4*4}}}[/tex]

[tex]\rule{200}{2}[/tex]

In order to simplify the second expression, we need to combine like terms:

11y+3y+9y

11y+12y ✓

23y ✓

Hence, the equivalent expressions are

[tex]\boxed{\boxed{\bold{11y+12y\;and\;23y}}}[/tex]

Hope everything is clear.

Let me know if you have any questions; if so, please comment.

#LearningDoesn'tEnd
#LearningIsFun

Answer:

64

Step-by-step explanation:

- 12 + 16 - 5 (-12)
- 12 + 16 + 60
4 + 60
= 64

Answer:

64

Step-by-step explanation:

If x = –12 and y = 16, evaluate x + y – 5x.

Solution,

= x + y - 5x

= -12 + 16 - 5 ( -12 )

= - 12 + 16 + 60

= - 12 + 76

= 64

Answer:

30

Step-by-step explanation:

5z + 20 + 10 - 5z

= 5z - 5z+ 20 + 10

= 30

Answer:

v = -5

Step-by-step explanation:

Add 4 on both sides.

-9 + 4 = -5

v = -5

Answer:

0, 1

Step-by-step explanation:

Whole numbers do not include negatives !

Answer:

it is 12

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Sequence 1: 4, 12, 36, 108

Sequence 2: 20, 28, 36, 44

Hope this helps!

Answer:

in explanation

Step-by-step explanation:

Input to output so for the input when it is 1=6 because it starts at 5 and then 8 what I mean is when the input comes out the output is going to be 3 more greater than last time.

So 1=6 so 6 is 5 more then

2 to 10=8 so 5 more went to 8 more.

Next is 3 and 14 so 3 more again because 8 + 3=11 so in that case that next number is 4 it will be 14 more

So 14 more than 4=18 and that is the output.

Also for the output it adds 4 for the numbers 6 + 4=10 + 4=14+ another 4=18.

And input is just plus 1.

Hope it helps have a great day:)