Find the exact solution of the equation 7^x=8

Answers

Answer 1

Answer:

exact form:in(8)/in(7) decimal form: x

=

1.06862156

Step-by-step explanation:


Related Questions

The histogram shows the number of fish caught one weekend by members of a fishing club. Which statement is best supported by this histogram?


Seven people caught 5 fish.

One person caught more than 5 fish.

Between 3 and 5 people caught 5 fish.

Everyone caught at least 2 fish.

Answers

Answer:

Between 3 and 5 people caught 5 fish.

Step-by-step explanation:

Hope that helps

Answer:

Between 3 and 5 people caught fish

Step-by-step explanation:

Because it is the highest bar

What is the slope of the line? 2x+4y=6-y

Answers

Answer:

m= -2/5

Step-by-step explanation:

use the slope-intercept form y=mx+b to find the slope m.

Answer:

-2/5

Step-by-step explanation:

plz mark brainliest!

If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.

OQ + QP= BLANK?

Fill in what you know and solve for OQ

OQ= BLANK?

Answers

Answers:

OQ + QP = OP

OQ = 11

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

Explanation:

The smaller pieces OQ and QP glue together to form the larger segment OP. This is effectively what the Segment Addition Postulate says. This only works if all three points are on the same single line segment.

We know that OP is 17, so QP = 6 adds to the other unknown piece to get 17. The other piece must be 11 units long. Algebraically you could write,

OQ + QP = OP

OQ + 6 = 17

OQ + 6-6 = 17-6 ... subtracting 6 from both sides

OQ = 11

OQ is 11 if OP=17 and QP=6. This is obtained by using Segment Addition Postulate.

What is Segment Addition Postulate ?

If Q is between O and P, then OQ + QP = OP.

Find OQ + QP and OQ:

Given, OP=17 and QP=6

According to Segment Addition Postulate,

OQ + QP = OP

OQ + 6 = 17

OQ= 17-6 =11

OQ = 11

OQ + QP =17 and OQ = 11

Hence the value of OQ is 11 when OP is 17 and QP is 6.

Learn more about Segment Addition Postulate here:

brainly.com/question/22093187

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If f(x) = 3/x+2-/x-3, Complete the following statement: The domain of for f(x) is all real numbers _____ than or equal to 3

Answers

Answer:

Step-by-step explanation:

Answer:

Greater

Step-by-step explanation:

because Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number.

Choose all sets that contain the number 5.

Answers

This should be the correct answer

All except irrational numbers

Step-by-step explanation:

Select the correct answer from each drop-down menu. the profit earned by a sporting goods outlet is modeled in the graph below, where x is the number of years since the outlet opened. He recorded profit for the first ten years since the outlet opened. The domain represents the (cost per item, number of years, number of units) for which the outlet will earn a profit. The range of this function is (0,160000,80000 and 0,160000,80000). For this function, the range represents the outlets (number of years since opening,maximum profit, possible annual profits).

Answers

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

V=4/3pi(r^3)

V=4/3pi(9^3)

V=3,054 inches^3

Hope this helps!!!!!!!!!

Step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

if ABC~DEF and the perimeter of ABC is 4 times greater than the
perimeter of DEF, what is the relationship between the areas of the
triangles?

Answers

Answer:

The area of triangle ABC is 16 times larger than the area of triangle DEF

Step-by-step explanation:

Step 1: Re-state the input

Given two triangles ABC and DEF are similar with ratio k.

Step 2: Derive the information

Suppose that the triangle ABC is k times larger than triangle DEF.

=> It means that all sides and heights of triangle ABC are k times larger than corresponding sides and heights of triangle DEF.

For example:

AB = k x DE

AC = k x DF

BC = k x EF

=> AB + AC + BC = k x (DE + DF + EF)

=> Perimeter of triangle ABC is k times larger than perimeter of triangle DEF

Step 3: Solve the problem step-by-step

Suppose that AH is the height from vertex A to base BC of triangle ABC and DH' is the height from the vertex D to base EF of triangle DEF.

As the above assumption states:

AH = k x DH'

BC = k x EF

Multiply both sides of the two above equations:

=> AH x BC = DH x EF x k x k

Simplify k components:

=> AH x BC = DH x EF x k^2

Multiply (1/2) to both sides:

=> (1/2) x AH x BC = (1/2) x DH x EF x k^2

Apply the formula to calculate the area of a triangle:

=> Area of triangle ABC = Area of triangle DEF x k^2

In other words:

The area of triangle ABC is (k^2) times larger than area of triangle DEK.

Here, the perimeter of triangle ABC is 4 times larger than the perimeter of triangle DEF => k = 4

Step 4: Make the conclusion

=>The area of triangle ABC is (4^2 = 16) times larger than area of triangle DEK.

Hope this helps!

:)

What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
y=-6
y = 4

Answers

Answer:

x = - 5

Step-by-step explanation:

The line with equation x = - 2 is a vertical line parallel to the y- axis.

A parallel line will also have the equation

x = c

where c is the value opf the x- coordinates the line passes through.

The line passes through (- 5, 4) with x- coordinate - 5, thus

x = - 5 ← equation of parallel line

This diagram shows a right cylinder. Recall that the area of
a circle is A = ar?. What is the formula for the volume of
the cylinder?

Answers

Answer:

A=Pi x radius x height+2 x pi x radius^2

Step-by-step explanation:

Answer:

Sample answer

What is the opposite integer of -111111111111111111111111111111111111111111111111111111111111111111

Answers

Answer:

positive 111111111111111111111111111111111111111111111111111111111111111111

Step-by-step explanation:

a fireplace contains 54 bricks along its bottom row. if each row above decreases by 3 bricks, what is the function that shows the bricks on the 10th row

Answers

Step-by-step explanation:

the fireplace would have 24 bricks on the 10th row

Answer:

27 bricks

Step-by-step explanation:

y= 54- 3(x-1)

y= 57- 3x

is the function, y= number of bricks on the xth row, x= row number above the bottom one

x=10 ⇒ y= 57 - 3*10 ⇒ y= 27 bricks

Marci hiked 15 miles from Park Headquarters to Blue Lake in 5 hours. What was her average speed?

Answers

Answer:

3 miles per hour

Step-by-step explanation:

The formula for average speed is: [tex]R = \frac{D_{total} }{T_{total} }[/tex] R being rate, D being distance, T being time. We substitute the values to get [tex]R = \frac{15}{5}[/tex] Simplified 3. Her average speed was 3 miles per hour. Hope this helps!

Answer:

3 miles per hour.

Step-by-step explanation:

15 divided by 5 is 3

each hour he would have covered 3 miles of distance.

Find the product of (x − 5)2. (1 point)

Answers

Answer:

x² - 10x + 25

Step-by-step explanation:

Given

(x - 5)² = (x - 5)(x - 5)

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

x(x - 5) - 5(x - 5) ← distribute both parenthesis

= x² - 5x - 5x + 25 ← collect like terms

= x² - 10x + 25

A city is holding a referendum on increasing property taxes to pay for a new high school. In a survey of 458 likely voters, 254 said that they would vote “yes” on the referendum. Create a 95% confidence interval for the proportion of likely voters who will vote “yes” on the referendum. Use Excel to create the confidence interval, rounding to four decimal places.

Answers

Answer:

[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]

[tex]=(0.5091,0.6001)[/tex]

Lower limit for confidence interval=0.5091

             

Upper limit for confidence interval=0.6001

Step-by-step explanation:

We have given,              

             

x=254          

n=458          

Estimate for sample proportion= [tex]\bar p = 0.5546[/tex]

Level of significance is =1-0.95=0.05      

Z critical value(using Z table)=1.96      

Confidence interval formula is

[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]

[tex]=(0.5091,0.6001)[/tex]

Lower limit for confidence interval=0.5091

             

Upper limit for confidence interval=0.6001

8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?

Answers

Answer:

$18.59

Step-by-step explanation:

19.16=100%

0.1916=1%

97(0.1916)

18.59

Answer:

$18.5852

Step-by-step explanation:

The system of equation y=3/4 and y=-x+3 According to the graph, what is the solution to this system of equations?
(4, -1)
(-1.4)
(4.1)
(1.4)​

Answers

Answer:

a

Step-by-step explanation:

A quadrilateral has vertices a(-4 -8) b (-2, 34) c(6,12 and d (10, -30). It undergoes the transformation (x,y) to (x/2,y/2).

What is it's scale factor?
What are the coordinates of the new vertices?
What is a dilatation?

(Will give Brainly)

Answers

Answer:

Step-by-step explanation:

scale factor:

1/2

the coordinates of the new vertices are

A (-4/2, -8/2)

A:(-2, -4)

B (-2/2, 34/2)

B: (-1, 17)

C (6/2, 12/2)

C:(3, 6)

D (10/2, -30/2)

D:(5, -15)

I guess the dilation is 2 times bigger?

5. A model of Earth is located 7600 meters from the Globe Arena in Sweden’s solar system model. The volume of the model is approximately 3052.08 cubic centimeters. What is the length of the radius of the

Earth model?

Solve each problem. Use 3.14 for p.

Answers

Answer:

the length of the radius of the Earth Model = 9cm

Step-by-step explanation:

The volume of the model of Earth is approximately 3052.08 cubic centimeters.

It has been discovered that the Earth is spherical in shape, hence this model is spherical as well.

The formula for the Volume of a Sphere = 4/3 πr³

Where r = radius or the length of the radius

The Volume of the Earth Model = 3052.08 cm³

We are told to use π = 3.14

To find the length of the radius, we have derive the formula

V = 4/3 × π × r³

V = 4πr³/3

Cross multiply

3V = 4πr³

Divide both side by 4π

3V/4π = r³

We find the cube root of both sides =

∛(3V/4π) = r

Substituting our given values in the question, we have:

∛(3 × 3052.08/ 4 ×3.14) = r

r = ∛9156.24÷12.56

r = ∛729

r = 9cm

Therefore, the length of the radius of the Earth Model = 9cm

What is the area of the triangle?
3
2
6

Answers

Answer:

A = 6 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (6)(2)

A = 6 units^2

Answer:

6 units^2

Step-by-step explanation:

The area of a triangle can be found using the following formula.

a=(bh)/2

where b is the base and h is the height. In this triangle, we know that 6 units is the base. We also know that 2 units is the height, because the height should form a right angle(little square) with the base.

b=6

h=2

Substitute these values into the formula.

a=(6*2)/2

Multiply 6 and 2 first.

a=12/2

Divide 12 by 2

a=6

Add appropriate units. Area always has the unit squared.

a= 6 units^2

The area of the triangle is 6 square units.

In a circle with radius 22, an angle measuring 2\pi2π radians intercepts an arc. Find the length of the arc in simplest form.

Answers

Answer:

15

Step-by-step explanation:

The length of the arc in its simplest form will be 138.16 units.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

In a circle with a radius of 22, an angle measuring 2π radians intercepts an arc.

Then the length of the arc in the simplest form will be given as,

Arc = (2π/2π) 2π (22)

Arc = 44 x 3.14

Arc = 138.16 units

The length of the arc in its simplest form will be 138.16 units.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

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Solve the following equation for x.
7x-3y=-13

Answers

Answer:

x = 3/7y - 13/7

Step-by-step explanation:

7x-3y=-13

  +3y   +3y        Add 3y to both sides

7x = 3y - 13       Divide both sides by 7

x = 3/7y - 13/7

You can also use this app called desmos

Find the volume of a cone that has a radius of 3 inches and a height of 9 inches.
(Use 3.14 for pi and round the answer to the nearest hundredth.)

Answers

Answer:

84.82

Step-by-step explanation:

I rounded it to the decimals hundredth place if I did not it would have been 84.823.

What is data about?

Answers

Answer: the quantities, characters, or symbols on which operations are performed by a computer, being stored and transmitted in the form of electrical signals and recorded on magnetic, optical, or mechanical recording media.

Step-by-step explanation:

Data mainly is about taking note of specific observations in numbers, for reference in the future.

can someone pls help

Answers

Answer:

3.6

Step-by-step explanation:

sine theta=3.2/5.1

theta=sine^-1(3.2/5.1)

theta=38.86230987

sine 38.86230987=x/5.7

x=sine 38.86230987(5.7)

x=3.576470588

Rounded to the nearest tenth is 3.6

Explain how the Quotient of Powers Property was used to simplify this expression.

three to the fourth power all over nine equals three squared

By simplifying 9 to 32 to make both powers base three and adding the exponents
By simplifying 9 to 32 to make both powers base three and subtracting the exponents
By finding the quotient of the bases to be one third and simplifying the expression
By finding the quotient of the bases to be one third and cancelling common factors

Answers

Answer:

The answer is option 2, by simplifying 9 to 3² to make both powers base 3 and subtracting the exponents.

Step-by-step explanation:

You have to make the expressions into the same base :

[tex] \frac{ {3}^{4} }{9} = \frac{ {3}^{4} }{ {3}^{2} } [/tex]

Next, you have to apply Indices Law :

[tex] {a}^{m} \div {a}^{n} \: ⇒ \: {a}^{m - n} [/tex]

[tex] {3}^{4} \div {3}^{2} [/tex]

[tex] = {3}^{4 - 2} [/tex]

[tex] = {3}^{2} [/tex]

By simplifying 9 to 3² to make both the powers base 3 as well as subtracting the exponents. A further explanation of the given question is below.

According to the question,

The equation will be:

→ [tex]\frac{(3)^4}{9} = \frac{(3)^4}{(3)^2}[/tex]

By applying the Indices law i.e.,

→ [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

then, we get

→ [tex]\frac{3^4}{3^2}[/tex]

→ [tex]3^{4-2}[/tex]

By subtracting the powers, we get

→ [tex]3^2[/tex]

Thus the above answer i.e., option B) is the correct approach.

Learn more:

https://brainly.com/question/19660607

5. What is the simplified form of (2x2 + 4x – 3)(3x + 1)?
06x3 + 10x2 – 5x + 3
O 6x3 + 14x + 5x – 3
O 6x3 + 14x2 – 5x – 3
O 6x3 – 10x2 – 5x - 3

Answers

6x3+14x+5x-356-34^4-546

Answer:

6x³+14x²-5x-3

Step-by-step explanation:

I'm assuming 2x2 is 2x²

(2x²+4x–3)(3x+1)=

6x³+2x²+12x²+4x-9x-3=

6x³+14x²-5x-3

1. 6x³+10x²-5x+3

2. 6x³+14x +5x-3

3. 6x³+14x²-5x-3

4. 6x³-10x²-5x-3

Business women Maya spends 1/4 hours a day on her cell phone. Her husband Larry spends 3/16 hours a day on his cellphone. What is the total time spent on the phone between the couple per day?

Answers

Answer:

7/16

Step-by-step explanation:

Mayas time: 1/4

Larrys time: 3/16

Total time: 1/4 + 3/16                  LCM = 16   16/4 = 4  16/16 =1

                : 1*4/4*4 + 3*1/16*1

                : 4/16 + 3/16

                : 7/16

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

27

Step-by-step explanation:

9(12)/4

9(3)

27

Answer:

Please mark me brainliest and I hope this helped!

D. 27

Step-by-step explanation:

First, we look at the exponents and for 3, 3 to the power of 2 is 3 times 3. The answer to that is 9. Next, we look at 2 to the power of 3. That is 2 times 2 times 2. That equals 8. 8 + 4 = 12. 12 * 9 = 108. The numerator is 108 so now we go to the bottom and 2 to the power of 2 is 2 times 2. So the denominator is 4. 108 divided by 4 is 27 and that's your answer!

I’m really confused the question is on shapes

Answers

Answer:The polygon has 18 sides.

Step-by-step explanation;since it is a straight line, we get 8x since they said that each interior angle is 8 times the exterior angleso it is 8x =x which is the exterior angle +180 degrees since it is a sraight line.

n:

Answer:

A) Each Interior Angle = 180 degrees - (360 / number sides)

B) Each Exterior Angle = 360 / number of sides

A) = 8 * B)

8 * 360 / # sides = 180 - (360 / #sides)

We'll call # sides as "n".

2,880 / n = [ 180 - (360 / n)]

2,880 = n * [ 180 -(360 / n)]

3,240 = 180n

180n = 3,240

n = 18 sides.

The polygon has 18 sides which is an octadecagon.

Step-by-step explanation:

A picture was marked at $90.00. It was sold at 3/4 of its marked price. What was the sale price?

Answers

the answer is: $22.50

Answer: $67.50

Step-by-step explanation:

Marked price = $90

It is sold at 3/4 of marked price

3/4 of 90

3*4 x 90 = 135/2

= 67.50 = sale price

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