Mathematics College

If 2^3x-1 = 32 then x = (image included)
a. 5
b. -2
c. 2
d. 4/3
e. -4

If 2^3x-1 = 32 Then X = (image Included)a. 5b. -2c. 2d. 4/3e. -4

Answers

Answer 1

Answer:

x is equal to two.

Step-by-step explanation:

We know that 32 is a power of 2.  It is in fact two to the power of five.  So we can re-express that as:

[tex]2^{3x - 1} = 2^5[/tex]

Because they have the same constant as a base, we can toss the base altogether, and equate the exponents:

[tex]3x - 1 = 5\\3x = 6\\x = 2[/tex]

Related Questions

I will give brainiest to whoever answers correctly !!

Answers

50.31 % I did this a year ago and got it right. Hope it helps tho

Four co-workers contributed $2.58, $10.20, $19.89, and $12.89 respectively to purchase a retirement gift for their boss. What is the maximum amount they can spend on a gift?

Answers

Answer:

the answer is $45.56!

Step-by-step explanation:

you just have to add all of there amounts to find how much money they have

The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax is added.​

Answers

Answer:

$ 6096

Step-by-step explanation:

Let the cost of truck = x

x+19% of x = 9068

x + 0.19x = 9068

1.19 x = 9068

      [tex]x = \frac{9068}{1.19}[/tex]

    x = 7620.17

Reduction = 20% of 7620.17

                 = 0.20 * 7620.17

                 = $ 1524.03

New price = 7620.17 -  1524.03

                  = $ 6096.14

Compare 0.55 ____ 0.525 using , or =

Answers

Answer:

0.55 > 0.525

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.55=0.550

0.550>0.525

so 0.55>0.525

What value for x satisfies the equation below? 12(x-2)+3x=13(x+12)+10x

Answers

Answer: Exact Form:  x = − 45 /2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5. Following data indicates the number of vehicles arrived during past
100 days in a certain tolling station.
Vehicles
No. of days
0 - 10
3
10 - 20
14
20 - 30
53
30-40
20
40 - 50
10
Calculate average number of vehicles in a day,​

Answers

Answer:

what are you supposed to do here?

Step-by-step explanation:

If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?

Answers

Answer: It would be 43 mittens

Step-by-step explanation:

29) Which equation describes this graph?

graph that contains the points (-2,0) and (8,-10)

A. y=−2x−2
B. y=2+x
C. y=−x
D. y=−2−x

Answers

The answer would be A

A ski are offers two vacation package plans. Plan A gives one person four nights lodging and three dinners for $467. Plan B gives one person five nights lodging and four dinners for $593. Assuming that the lodging and dinner costs per night are the same for both plans, how much does one dinner cost?

Answers

Answer:

$37

Step-by-step explanation:

Plan A: 4n + 3d = 467

Plan B: 5n + 4d = 593

4n + 3d = 467

4n = 467 - 3d

4n/4 = 467/4 - 3d/4

n = 116.75 - 3/4d

5n + 4d = 593

5(116.75 - 3/4d) + 4d = 593

583.75 - 3.75d + 4d = 593

0.25d = 593 - 583.75

0.25d = 9.25

0.25d/0.25 = 9.25/0.25

d = 37

find the surface area of the triangular prism help plzzz​

Answers

Answer:

790 m^2

Step-by-step explanation:

well in the figure we have to areas

the rectangle of the side (2)the triangle (2)the rectangle of the base (1)

the rectangle of the side

well the area of the rectangle is base times height

we have a base of 11 and a height of 17

[tex]A_{rs}=11*17\\\\A_{rs}=187[/tex]

the triangle

well the area of a triangle is base times height over 2

we have a base of 16 and a height of 15

[tex]A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120[/tex]

the rectangle of the base

we have a base of 16 and a height of 11

so

[tex]A_{rb} = 16\cdot 11\\\\A_{rb} = 176[/tex]

so the total area is

[tex]A_T = 2(A_{rs})+2(A_{t})+1(A_{rb})\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790[/tex]

so that's our answer the surface area is 790 m^2

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!

Answers

$4x-5$ is less than 25$

find the scale factor from DEF to ABC

Answers

Answer:

³/2 (1.5)

Step-by-step explanation:

∆DEF was enlarged to get ∆ABC. The scale factor would be:

The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.

Thus,

BC:EF = 12:8

= 12/8

= 3/2 = 1.5

Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5

Please help....................

Answers

Answer:

B = 31°

a = 18.9

b = 11.3

Step-by-step explanation:

✔️B = 180° - (90° + 59°) (sum of triangle)

B = 31°

✔️Use trigonometric ratio to find a:

Reference angle = 59°

Side opposite to reference angle = a

Hypotenuse = 22

Thus,

Sin 59 = a/22

Multiply both sides by 22

22*sin 59 = a

18.9 = a

a = 18.9 (nearest tenth)

✔️Use trigonometric ratio to find a:

Reference angle = B = 31°

Side opposite to reference angle = b

Hypotenuse = 22

Thus,

Sin 31 = b/22

Multiply both sides by 22

22*sin 31 = b

11.3 = b

b = 11.3 (nearest tenth)

HURRY PLEASE....... Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios. Which table shows the same data?

Answers

Answer:b

Step-by-step explanation:

two beads for every 3

Dawn has two bank accounts she has been using to save money for a car. The difference between account A and account B is $100. If she uses StartFraction 3 Over 8 EndFraction of account A and StartFraction 7 Over 8 EndFraction of account B, Dawn will have a down payment of $2000. Choose the statements that are true when solving for the amount Dawn has in each account. Check all that apply.
One of the equations that represents this scenario is A – B = 100.
One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
To eliminate the A variable, multiply the first equation by 3 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by –8.

Answers

Answer:

1) One of the equations that represents this scenario is A – B = 100.

2)One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.

4) To eliminate the B variable, multiply the first equation by 7 and the second by 8.

Step-by-step explanation:

Answer:

a b and d

Step-by-step explanation:

Simplify this expression.
6x + 3 – 4x + 2y + 7

Answers

Answer:

2x + 10 + 2y

Step-by-step explanation:

6x + 3 – 4x + 2y + 7

(6x - 4x) = 2x

2x + 3 +2y + 7

(3 + 7) = 10

Answer: 2x + 10 + 2y

ANSWER FAST PLS HAVE 5 MIN FOR THIS


Employees of a painting service paint the interior walls of homes and office buidings.
The following table shows the number of cons of point the employees use, and the
number of square feet they cover.
Cans of paint
3
Area painted (square feet) 375
1125 1500
Which equation describes the relationship between the number of cons of paint
used, and the number of square feet that are covered?
1
2
750
A
y = 375x + 375
B
y=+*
375
y = 50x + 325
D
y = 375x

Answers

Answer:

Y=375x

Step-by-step explanation:

thats the answer

I. A rhombus is a special type of square. II. A rectangle is a special type of rhombus. III. A trapezoid is a special type of parallelogram. Which of the above statements are true? i only iii only iii only None of the above statements are true.

Answers

Answer: I. only

--------------------------------------------------------------------------------------------------------------

Explanation :

II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal.  The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.

I.  True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.

III. False.  Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.


Help me pls it’s due today at 11:59

Answers

Answer:

A rotation followed by a translation

Can someone help? I don't understand the equasion

Answers

Answer:

a = 1/6

Step-by-step explanation:

To solve, divide both sides by 5 1/4

a = 7/8 / (5 1/4)

a = (7/8) / (21/4)

a= 7/8 * 4/21

a= 28/168

a= 1/6

Which statement is false?
1) All points with an x-value of 3 are located in Quadrant I.
2) There is only one point on the coordinate plane that is on both the x- and y-axes.
3) All points with an x-value of 0 are located on the y-axis.
4) There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.

Answers

Answer:Choice A)  All points with an x-value of 3 are located in Quadrant I.

We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.

We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.

1 because the other 3 make no sense because it 4 wouldn’t be congruent on the other planes and number 3 0 is on the other axis
Deez nurs

I bought a pizza Alexis ate 3/4 of the pizza how much pizza do I have left???

Answers

Answer:

8/7 left, Hope i helped :)

Step-by-step explanation:

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyuujuuju

Step-by-step explanation:

HI dude was good

The density of silver is 10.49g/cm3. If a sample of pure silver has a volume of 12.993cm3, what is the mass?

Answers

Answer:

d X v = m

12.993 X 10.49 = 136.29657

Find the slope and y-intercept.

Answers

Answer:

slope is four and the y-intercept is 1/5

Slope is the number before the x so it’s 1/5
And the Y intercept is the one that is after it which in this case is a positive 4

Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?

Answers

$58.50 hope it helps

Answer:

58.50

Step-by-step explanation:

The students at Job's high school

were surveyed to determine their

favorite foods. The results are shown

in the table below. Suppose students

were randomly selected and asked

what their favorite food is. Find the

probability of each event. Write as a

fraction in simplest form.


Favorite Food Responses

Pizza 19

Steak 8

Chow-mein 5

Seafood 4

Spaghetti 3

Cereal 1


16. P(steak)

17. P(Spaghetti)

18. P(cereal or seafood)

19. P(not chow-mein)

19. P(pizza)

20. P(cereal or steak)

21. P(not steak) 22. P(not cereal or seafood)

23. P(chicken) 24. P(chow mein or spaghetti)

Answers

Maybe pay attention to school and u would know

Which one is a better deal? Deal 1: $7.65 for 9 iTunes songs Deal 2: $6.93 for 7 iTunes songs

Answers

Umm I think the deal 7 sure it’s more money but I think it better or just get Apple Music

Answer:

yeah I would say deal #1 is better

2 divided by negative 1/5

Answers

Answer: 10

you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)

HELP MEEEEE this is so harddd. the picture is above.

Answers

Answer:

A)

Step-by-step explanation:

V=1/3([tex]\pi[/tex]r²)h

3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side

3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)

3V/(πr²)=h is the final answer so that matches A

Samples G and H were selected from the same population of quantitative data and the mean of each sample was determined. The mean of sample G is equal to the mean of the population. Which of the following statements must be true?

I. The mean of sample H must also be equal to the population mean.
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.

a. I only
b. II only
c. III only
d. I and II
e. II and III

Answers

Answer: e. II and III

II. The mean of sample G, TG, is a point estimator for the mean of the population.

III. The mean of sample H, my, is a point estimator for the mean of the population.

Step-by-step explanation:

The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.

Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.

However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean

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