if a = 10 , than a2 =

Answer:

  b = -1

Step-by-step explanation:

Your equation is ...

  (5^3)b -1 = 5^b -3

This is a mix of exponential and linear terms, and cannot be solved algebraically.

___

We suspect you might mean ...

  5^(3b -1) = 5^(b -3)

We can equate the exponents to find a value for b:

  3b -1 = b -3

  2b = -2 . . . . add 1-b to both sides

  b = -1 . . . . . . divide by 2

Answer:

389.846

Step-by-step explanation

Sorry if its wrong

Answer: The dimensions are that of a right triangle.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

you can solve by checking with the Pythagorean theorem (a^2 + b^2= c^2)

24 and 45 are the legs because the hypotenuse is the largest side so they will be substituted for a and b. if c is equal to 51 then it would be a right triangle

24^2 + 45^2= c^2

576 + 2025 = c^2

2601 = c^2

51 = c

because c = 51 and 51 was the hypotenuse on the triangle previously mentioned 24 45 51 is a right triangle

Answer: The portion of skiing is 36 degrees (36°)

Step-by-step explanation: In order to calculate the value of any of the given variables in degrees, we must calculate it as a fraction of the total and then convert it to a degree measure in relation to a total of 360 degrees. (Please note that a pie chart has a total of 360 degrees measurement for all the variables given)

The variables are;

Soccer - 5

Jogging - 20

Walking - 10

Skiing - 5

Football - 10

Total - 50

Therefore, the fraction that represents skiing is given as

Skiing = 5/50

Skiing = 1/10

Calculating this portion in degrees becomes,

Skiing = 1/10 x 360

Skiing = 36 degrees (36°)

Answer:

x = 36° represents the proportion of hours spent on skiing.

Step-by-step explanation:

Solution:-

- The time taken for various activities is to be represented using a pie chart.

- The individual times for various activities are given:

          Soccer : 5 hours

          Jogging : 20 hours

          Walking : 10 hours

          Skiing : 5 hours

          Football : 10 hours

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

      Total time : 50 hours

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

- An entire pie chart is represented by a circle. Where the angle representation of a complete circle is 360° - mapping the total number of hours taken for all activities.

- So,               360° ............. Total Time = 50 hours

- So we will use direct proportions to evaluate the angle representation for the number of hours spent on skiing for a pie chart:

                      x ................. Skiing time = 5 hours

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

                     50*x = 5*360

                     x = 36°

Answer:

18

Step-by-step explanation:

Mean is the average of the data.

There is one 7.

Three 9's.

Two 10's

7+9+9+9+10+10=54

There are only 3 numbers with actual data so 6 and 8 don't matter.

54÷3=18

Answer: I am pretty sure it is 35 min

Step-by-step explanation:

Answer

Trent spent 35 minutes on his work.

Step-by-step explanation:

Answer:

71 tadpoles

Step-by-step explanation:

Windstone rescued 54 on Friday.

Let the number rescued on Saturday =x

The number rescued on Friday is 17 less than the number he rescued on Saturday.

This is written as:

To solve for x, we add 17 to both sides of the equation

Windstone Rescued 71 tadpoles on Saturday

Answer:

71 tadpoles

Step-by-step explanation:

let 't' represent the number of tadpoles he rescued on Saturday.

According to the problem,

Windstone rescued 54 on Friday.

If the number rescued on Friday is 17 less than the number he rescued on Saturday.

The equation to find  the number of tadpoles he rescued on Saturday will be:

t-17 = 54

Further solving for 't'

t= 54+17

t= 71

Therefore, Windstone Rescued 71 tadpoles on Saturday

Answer:

acute scalene

Step-by-step explanation:

Answer:

8/8

Step-by-step explanation:

8/8 is equal to one, so it would mean he would get to play his favorite board games for a full hour.

7/8 is only about 50 or so minutes, which is less than an hour.

If Tom chooses 8/8 of an hour, he will get to play longer.

Answer:

1^7 is the answer you are looking for

Step-by-step explanation:

Answer:

 The lower supports are Congruent Rectangles and the area of the two supports is 24 square meters.

The upper arch can be decomposed as one semicircle with radius 6 meters minus a semicircle with radius 3 meters.

The area of the archway is (13.5 π + 24) square meters.

Step-by-step explanation:

See attachment for the firgure,

In order to determine the area of archway = The area of upper support + area of lower support.

As given, the lower support are two congruent rectangles consists of dimension 3 m × 4 m

Therefore, the area of lower support can be written as,

The area of lower support = 3 × 4 + 3 × 4 = 12 + 12 = 24 square m.

Now, the upper support arch can be decomposed as the two concentric semi circles having radius 3 m and 6 m,

Hence, the area of the upper support = Area of semi circle having radius i.e 6 m - Area of semi circle having radius i.e 3 m

=> π6²/2 - π3²/2= 27π/2= 13.5π square m

Therefore, the area of the archway =  (13.5 π + 24) square meters

Answer:

1. congruent rectangles

2. 24

3. 6

4. 13.5

Step-by-step explanation:

Got it right, have a nice day!

Explanation of how to calculate the volume of a rectangular prism with given dimensions.

The volume of a rectangular prism is calculated by multiplying its length, width, and height.

Given dimensions: length = 6/5 cm, width = 8/3 cm, height = 15/4 cm

Volume = (6/5) cm x (8/3) cm x (15/4) cm = 24 cm³

Answer:

t = 16

Step-by-step explanation:

–4(t − 12) + 12 = –4

-12                     -12

-4(t - 12) = -16

/-4             /-4

t - 12 = 4

+12      +12

t = 16

or

–4(t − 12) + 12 = –4

distribute the -4

-4t + 48 + 12 = -4

simplify

-4t + 60 = -4

-60          -60

-4t = -64

/-4     /-4

t = 16

Answer:

64/3

Step-by-step explanation:

Answer:

If the coin is fair, then the odds of getting heads or tails should be equal, 12. Then 3 tosses of tails will have a chance of 12⋅12⋅12=18. Tossing of the coin is an independent event. The probablility of each event is 12.

Answer:

x=-1.67 or x=-4

Step-by-step explanation:

3x+5=0          and 2x+8=0

3x=0-5               2x=-8,,,divide both sides by 2, the two's cancel then x=-4

3x=5 Divide by 3 to hve x on one side,,, thus the answer is -5÷3=1.666...

Answer:

-5/3 and -4

Step-by-step explanation:

I got it correct.

Answer:

Step-by-step explanation:

[tex]3 \frac{3}{9}=\frac{3 \times 9+3}{9}=\frac{30}{9}=\frac{10}{3}\\1\frac{1}{3}=\frac{1\times 3+1}{3}=\frac{4}{3}\\Total~used=\frac{10}{3}+\frac{4}{3}=\frac{14}{3}\\Left~over=9-\frac{14}{3}=\frac{9 \times 3-14}{3}=\frac{13}{3}=4 \frac{1}{3}~gallons[/tex]

Answer: 4

Step-by-step explanation:

[tex]9-(3\frac{3}{9} + 1\frac{1}{3} )\\9-(\frac{30}{9} + \frac{4}{3})\\ 9-(\frac{10}{3}+ \frac{4}{3})\\ 9-(\frac{14}{3} )\\= \frac{(9)(3)-14}{3} \\= \frac{27-14}{3} \\=\frac{13}{3}\\ \\or\\\\4 gallons[/tex]

or

= [tex]4\frac{1}{3}[/tex]

approximately

Answer:

x = 11

Step-by-step explanation:

2x - 8 = 14

2x = 22

x = 11

Tell me if I am wrong.

Can I get brainliest

Answer:

Let that number be 'x'

Now first part of the question tells us that 8 less than twice a number which is"x".

so twice a number would be 2x

then 8 less than would 2x-8

and the given result of the equation is 14

so the equation iis 2x-8=14

2x=14+8

2x=22

x=22/2

x=11 So the number is 11

Hope you find it helpful

Final answer:

Situations A (40 km/hr for 3 hours), B (60 km/hr for 2 hours), and C (30 km/hr for 4 hours) represent a total distance of 120 km when applying the formula D = S * t. Situation D (25 km/hr for 5 hours) does not represent the required distance of 120 km.

Explanation:

The distance traveled can be calculated using the formula D = S * t where S is the speed and t is the total time. To find out which situations represent a total distance of 120 km, we will apply this formula to each of the given situations.

After calculating each situation, we can see that situations A, B, and C each yield a total distance of 120 km, while situation D yields a total distance of 125 km, which is not the distance we are looking for.

Answer:

2

Step-by-step explanation:

2

Answer:

The answer to your question is below

Step-by-step explanation:

Data

1) AB = 6   BC = 4   AE = 9  ED = ?

Use proportions to solve this problem

              AB / AE = 6/9    (AB + BC) / (AE + ED) = (6 + 4) / (9 + ED)

-Equal both proportions

                              6/9 = 10 / (9 + ED)

-Solve for ED

                             9 + ED = 10(9)/ 6

-Simplification

                             9 + ED = 90/6

                             9 + ED = 15

                                   ED = 15 - 9

-Result

                                   ED = 6

2.-   AB = 12   AC = 16  ED = 5  AE = ?

Use proportions to solve this problem

             AE / AB = AE / 12          AD/AC = (AE + 5) / 16

-Equal both proportions

                          AE/12 = (AE + 5 ) / 16

-Solve for AE

                         16AE = 12(AE + 5)

                         16AE = 12AE + 60

                         16AE -12AE = 60

                                     4AE = 60

                                       AE = 60/4

-Result

                                      AE = 15                          

Answer: 150 shots.

Step-by-step explanation: Since her three-point shot probably is 30%, we can assume that for any total of three-point shots, only 30% of them will be "correctly shot."

Here are two methods of how to find the answer, depending on how your teacher is teaching you to calculate percentages.

Method A. Proportions

Therefore, let's make a proportion. Out of 500 shots, only 30% will be made.

[tex]\frac{30}{100} =\frac{x}{500}[/tex]

Solve for x, which in a proportion, is done by cross-multiplying and then dividing.

[tex](30 * 500) / 100[/tex]

[tex]= 150[/tex]

Out of all the 500 shots, only 150 can be made by her prediction.

Method B. Simple multiplication

30% is equal to 0.3

Therefore, you multiply [tex]0.3 * 500[/tex], which you get [tex]150[/tex].

Answer: AC : BC = 22 : 33 = 2 : 3

Step-by-step explanation:

Since we have given that

AB = 3x-4

AC= 2x+12

BC = 7x-2

And AB: AC = 1 : 2

and To show : AC : BC = 2 : 3

So, it becomes ,

[tex]\dfrac{AB}{AC}=\dfrac{3x-4}{2x+12}=\dfrac{1}{2}\\\\2(3x-4)=2x+12\\\\6x-8=2x+12\\\\6x-2x=12+8\\\\4x=20\\\\x=\dfrac{20}{4}\\\\x=5[/tex]

So, AC: BC becomes:

[tex]\dfrac{AC}{BC}=\dfrac{3x-4}{7x-2}=\dfrac{2(5)+12}{7(5)-2}=\dfrac{22}{33}=\dfrac{2}{3}[/tex]

Hence, proved.

Step-by-step explanation:

First find x:

AB:AC=1:2

2(3x-4)=2x+12

6x-8=2x+12

4x-8=12

4x=20

x=5

Substitute:

AC=2x+12

=(2x5)+12

=10+12

=22

BC=7x-2

=(7x5)-2

=35-2

=33

22/33=2/3

Therefore AC:BC = 2:3

Answer:

work out the following questions

Step-by-step explanation:

a.

[tex] \frac{3}{4} \times \frac{1}{2} [/tex]

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

Now

b.

[tex] \frac{4}{7} \times \frac{21}{40} [/tex]

Now here we can see 21 is 3 times of 7 and 40 is 10 times of 4 so

[tex] \frac{3}{10} [/tex]

Hope this helps.

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

Answer:

n = 12, she has played 12 games

Step-by-step explanation:

40 = 16 + 2n

24 = 2n

24/2 = n

n = 12

The division is one of the four fundamental arithmetic operations. The number of games that Hannah has played is 12.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Hannah is at an arcade where each game requires her to use 2 tokens. Also, the total number of tokens Hannah has is 40.

Therefore, the number of tokens that Hannah has used is,

Number of tokens Hanna used

= Total number of toke - Number of tokens left

= 40 - 16

= 24

Now, the number of games that Hannah has played is,

Number of games Hannah has played = Number of tokens used / Number of token per game

n = 24 / 2

n = 12 game

Hence, the number of games that Hannah has played is 12.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ2

To find the length of the slide, you can use trigonometry and the angle of depression. The length can be found using the tangent function, and rounding to the nearest whole number gives an answer of approximately 9 feet.

To find the length of the slide, we can use trigonometry and the angle of depression. We can use the tangent function, which is opposite over adjacent, to find the length of the slide. In this case, the opposite side is the height of the slide (12 feet) and the adjacent side is the length of the slide. So we have:

tan(53 degrees) = opposite/adjacent

tan(53 degrees) = 12/adjacent

To solve for the length of the slide, we can rearrange the equation:

adjacent = 12/tan(53 degrees)

Using a calculator, we can find that the length of the slide is approximately 9 feet when rounded to the nearest whole number.

Answer:

Step-by-step explanation:

hello :

*   64 = 4^3   so : g(x) =  (∛4^3)^x = 4^x

*   16=4²        so :  f(x) = (√4²)^x = 4^x

the functions f(x) and g(x) are equivalent

Answer:

I believe its 15

Step-by-step explanation:

Answer for 12+7+(-4)= 15

Answer for -1.75+(-6.25)+6= -2

I hope this helps

Answer:

12a cm2

2b cm2

(6a + b) cm2

Step-by-step explanation:

The complete question is

The figure consists of 12 congruent equilateral triangles. The area of one equilateral triangle is a cm2. The area of the hexagon, shaded slightly darker, is b cm2.

Which expressions represent the area of the entire shaded region, including the light and dark shading? Check all that apply.

12a cm2

2b cm2

(6a - b) cm2

(12a + 2b) cm2

(6a + b) cm2

The picture of the question in the attached figure

we know that

The area of the entire shaded  region is equal to the area of the the light and dark shading

so

step 1

Find the area of the light shading

The area is equal to the area of six congruent equilateral triangles

[tex]A_1=6a\ cm^2[/tex]

step 2

Find the area of the dark shading

The area is equal to the area of the regular hexagon

[tex]A_2=b\ cm^2[/tex]

step 3

1) Find the total area

[tex]A=A_1+A_2=(6a+b)\ cm^2[/tex]

2) Remember that the figure consists of 12 congruent equilateral triangles

so

[tex]A=12a\ cm^2[/tex]

3) The area of the light shading is the same that the area of the dark shading

so

6a=b

therefore

[tex]A=2b\ cm^2[/tex]

Answer: 1 2 5

Step-by-step explanation:

The correct answer is 2%. The store donated 2% of $7,400 to charity.

To find out what percent of $7,400 was donated to charity, we need to divide the amount donated by the total sales and then multiply by 100 to convert it into a percentage.

Let's denote the percent donated as P. The amount donated is given as $148, and the total sales are $7,400. The relationship between the percent donated, the total sales, and the amount donated can be expressed as:

[tex]\[ P \times 7,400 = 148 \][/tex]

To find P, we divide both sides of the equation by 7,400:

[tex]\[ P = \frac{148}{7,400} \][/tex]

Now, we calculate the value of P:

[tex]\[ P = \frac{148}{7,400} = \frac{2}{100} \] \[ P = 0.02 \][/tex]

To express P as a percentage, we multiply by 100:

[tex]\[ P = 0.02 \times 100 \] \[ P = 2\% \][/tex]