Solve for x to the nearest hundredth
3^x=38

Final answer:

The experimental probability of drawing a green marble next based on past draws is 19 out of 50, which can also be represented as 0.38 or 38%.

Explanation:

The question asks about the experimental probability of drawing a green marble from a bag given prior outcomes. To find the experimental probability, you divide the number of times the event of interest (drawing a green marble) occurred by the total number of trials. In this case, a green marble was drawn 19 times out of 50 total draws.

Therefore, the experimental probability is 19/50. This can also be expressed as a decimal, 0.38, or as a percent, 38%.

Answer:

x=2

Step-by-step explanation:

- Take the square root of both sides of the equation so that we can get rid of the squared on the x+7

- The square root of 81 is 9

- so now, the equation is x+7=9

- subtract seven from both sides

Answer:

RELATED

How to Multiply Fractions With Common Denominators

Updated April 24, 2017

By Pharaba Witt

Algebra strikes fear in the hearts of many both grown and still in school. Finding equivalent expressions is not as complicated or as daunting as you might think. It comes down to taking the distributive property and working with it to find another way to say the same thing, mathematically.

Using Distributive Property

Start with an algebraic expression. Using the example 2x(3y + 2) will make it easier to walk through the process.

Distribute the multiple 2x throughout the rest of the equation. This means multiplying 2x by 3y and by 2. Multiply 2x and 3y and you get 6xy. Multiply 2x by 2 and you get 4x.

Complete the equation by putting it back together. This means taking the two new numbers and keeping the function in the middle the same: 6xy + 4x. This is your equivalent expression. You can write the two expressions to show equality: 2x(3y + 2) = 6xy + 4x.

Using Factoring

Identify the common factors in the parts of the equation. Breaking down the equation might be necessary to find an equivalent expression. If you were given the expression 6xy + 4x, you would need to work it the other direction by taking out the common numbers. In this case both numbers are divisible by 2.

Take out the first common number: 2(3xy + 2x). Now you see there is still another common factor, x.

Take out additional common factors: 2x(3y + 2). This gives you the equivalent expression. Again you end with 6xy + 4x = 2x(3y + 2).

Step-by-step explanation:

Answer:

6 days :D

Step-by-step explanation:

So first you need to find out how much they drive each day : 185+220=405

Then you divide 405 with 2430 to find out how many days they need to travel..which is 6.

Answer:

(60-3)/n = 23

Step-by-step explanation:

Answer:to graph y=2 go to the y axis and go to positive 2 and make a horizontal straight line. And to graph x=4 go to the x axis and go to positive 4 and make a vertical straight line.

and to graph y=x+2 make a dot on (0,2) and (-2,0) then make a line thru them using a ruler or straight object. (also i seriously recommend using desmos to graph online its super easy to use :) )

Answer:

Please just give me points

Step-by-step explanation:

I really need points so plss someone give some!

Answer:

The correlation coefficient is close to -1. There is a strong negative correlation between the amount of time spent working out and the amount of weight lost.

Step-by-step explanation:

I did it on USATestprep.  -0.9547 is close to -1. This indicates a strong negative correlation. When the workout time increases, Jason's weight decreases.

Final answer:

The correlation coefficient of -0.9547 indicates a strong and inverse relationship between the amount of time Jason spends working out and the amount of weight he loses.

Explanation:

The correlation coefficient that models the relationship between the amount of time Jason spends working out and the amount of weight he loses is -0.9547. This negative correlation coefficient indicates a strong and inverse relationship between the two variables. It means that as the amount of time Jason spends working out increases, the amount of weight he loses decreases.

Answer:

c) An Infinite Number of Solutions

Step-by-step explanation:

y - 6 = 2x

y = 2(x+1) + 4.

Solve the first equation for y

y = 2x+6

Set the two equations equal

2x+6 = 2(x+1) +4

Distribute

2x+6 = 2x+2+4

2x+6 = 2x+6

Subtract 2x from each side

6 = 6

This is always true so there are infinite solutions

To prove that triangle ABE is congruent to triangle CDE, we can use the SAS (Side-Angle-Side) congruence criterion by establishing that AB = CD and AE = EC, and angle BEA is common to both triangles.

We can use the SAS (Side-Angle-Side) congruence criterion to prove triangle ABE is congruent to triangle CDE.

First, note that since ABCD is a parallelogram, opposite sides are parallel and congruent, so AB = CD.

Next, since the diagonals of a parallelogram bisect each other, we have AE = EC and BE = ED.

Finally, since AE = EC and AB = CD, we have two pairs of congruent sides and the included angle BEA is common to both triangles. Therefore, by the SAS criterion, triangle ABE is congruent to triangle CDE.

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Triangles ABE and CDE are congruent by the SSS criterion, as in parallelogram ABCD the opposite sides are equal and diagonals bisect each other, making the corresponding sides of the triangles equal.

To prove that triangle ABE is congruent to triangle CDE in a parallelogram ABCD, where point E is the intersection of diagonals AC and BD, we can use the properties of parallelograms and the concept of congruent triangles.

First, in parallelogram ABCD, opposite sides are equal, hence AB = CD, and AD = BC. Also, diagonals of a parallelogram bisect each other, so AE = CE, and BE = DE. By the Side-Side-Side (SSS) criterion for congruence of triangles, if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Thus, in triangles ABE and CDE:

Since all three corresponding sides of triangle ABE are equal to the corresponding sides of triangle CDE, by the SSS criterion, triangle ABE is congruent to triangle CDE.

Answer: right triangles

always

Step-by-step explanation:

Answer:

right triangles

Always

Step-by-step explanation:

Slope is rise/run which is the same for all two points on the line. The right triangles are formed using two points on the line

Answer:

B. 15c > 1,800 + 10c

Step-by-step explanation:

Profit=Total revenue - total cost

Profit is achieved:

when total revenue is greater than total cost

TR>TC

Or

When total cost is less than total revenue

TC<TR

From the question

Total cost=1800+10c

Total revenue=15c

Profit=TR>TC or TC<TR

15c>1800+10c

Or

1800+10c<15c

Option B. 15c > 1,800 + 10c satisfies the condition that Profit=TR>TC

Answer:

B. 15c > 1,800 + 10c

Step-by-step explanation:

The local bakery has an operating cost of $1800 plus a cost of $ 10 per cake produced. The operating cost is the expenses required to run the business. This is the amount required to keep the bakery company in existence. To make a profit, the sales each day must surpass the operating cost.

Since they sell only cakes , the sales of cakes for that day should surpass the operating cost for that day in order for them to make gain

operating cost = 1800 + 10c

where

c = number of cakes sold each day

The price for each cake = $15 . The sales for each day will be 15 × c(the number of cake sold) which should be greater than the operating cost  1,800 + 10c for them to make profit.

15c > 1,800 + 10c

Answer:

A. 8 cm²

Step-by-step explanation:

You can find the length of the original rectangle with ratios:

1.6 : x

8 : 25

Using this, we get:

25/(8/1.6)=x

25/5=x

x=5

Then we multiply length by width.

5*1.6=8

The original rectangle had an area of 8 cm²

The area of the original rectangle is 40 cm².

To find the area of the original rectangle, we need to know its original length. Since we are given the width and scale factor, we can calculate the original length. If the new width is 8 cm and the scale factor is 25/1.6, then the original length would be 1.6 × (25/1.6) = 25 cm. Therefore, the area of the original rectangle is length × width = 25 cm × 1.6 cm = 40 cm².

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Answer:

312

Step-by-step explanation:

its easy

Answer:2.96

Step-by-step explanation:

Answer:

6 ft³

Step-by-step explanation:

In this case, there are two square slabs and a rectangular cement slab in the middle. If each of the square slabs has a volume of 4 ft.³ and all three slabs have a total volume of 14 ft.³, then the middle slab has a volume of:

[tex]V = 14 - 4 -4\\V=6ft^3[/tex]  

The middle slab has a volume of 6 ft³.

Answer:

6

Step-by-step explanation:

cuse i just got it right on iready

Answer:

The answer is D.

Explanation:

(70)^ 1/2 = 8.366600265

√70 = 8.36600265

Answer:

90 and 30

Step-by-step explanation:

Answer:90 and 30

Step-by-step explanation:

9x10=90

3x10=30

Circumference: pi x diameter

8 x 3.14 = 25.12

Therefore, the circumference of the circle is 25.12 kilometers.

The circumference of a circle with a diameter of 8 kilometers is 25.12 kilometers.

The formula to calculate the circumference of a circle is C = πd, where d is the diameter. In this case, the diameter is given as 8 kilometers. So, we can substitute this value into the formula:

C = 3.14 x 8 = 25.12 kilometers

Therefore, the circumference of the circle is 25.12 kilometers.

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Answer:

The function g(x) = (x + 1)² is represented by the graph Y

Step-by-step explanation:

The question presents the graph of the function x² above

Therefore, for a function f(x) = x² at x = 0 y = 0

For function g(x) = (x + 1)² when x = 0 g(x) = 1  Satisfied by graph W and Y

Also we have g(x) =  (x + 1)² = x² + 2·x + 1  or g(x) = f(x) + 2·x + 1

We find the minimum of the graph by differentiating and equating to zero as follows;

[tex]\frac{\mathrm{d} (x + 1)^{2}}{\mathrm{d} x} = 2x +2 = 0[/tex]

Therefor, the minimum is at x = -1 satisfied by only graph Y

Hence the graph that represents the function g(x) = (x + 1)² is the graph Y.

Answer:

The amount earned is $327.75

Step-by-step explanation:

If the workwr working for 5h gets $71.25, then his working for 1 hour could be said to be x.

5h = $71.25

1h = x; cross multiplying would result in

x= [tex]\frac{($71.25*1)}{5h}[/tex]

x= $14.25 which is the pay for 1h

Therefore for 23 h the worker would earn

23* 14.25 = $327.75

Answer:

1. parallelogram

2. trapezoid

3.rectangle

4. parallelogram

5. trapezoid

6. rhombus

7.rectangle

8. rhombus

Answer:

B. 17%

Step-by-step explanation:

The probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 is given by the z-score and P ( 0.37 < x < 0.39 ) = 16.32 %

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 be P ( A )

Now , the mean of the sample μ = 0.38

The standard deviation σ = 0.0485

And , z₁ = 0.37 and z₂ = 0.39

So , P ( A ) = P ( 0.37 < x < 0.39 )

On simplifying , we get

z = (x - μ)/σ

z₁ = ( 0.37 - 0.38 ) / 0.0485

z₁ = -0.206

z₂ = ( 0.39 - 0.38 ) / 0.0485

z₂ = 0.206

So , P ( 0.37 < x < 0.39 ) = P ( -0.206 < z < 0.206 )

On further simplification of the z-score , we get

P ( 0.37 < x < 0.39 ) = 0.5816045 - 0.4183955

P ( 0.37 < x < 0.39 ) = 0.1632

Hence , the probability is 16.32 %

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The correct value of the length of a side = 2¼ ft

Answer:

area of the whole mosaic = 182.25 ft²

Step-by-step explanation:

We are told it has a 6 x 6 array of different colour square tiles.

Which means it has 6 x 6 = 36 square tiles.

Area of square = L²

Where L is length of side

Now, since length of one tile is 2¼ ft long.

Thus, area of one square tile = (2¼)²

= 81/16 ft²

Since there are 36 tiles,

Thus ;

Total area ; 81/16 x 36 = 182.25 ft²

Final answer:

The area of one tile in the mosaic is 5.0625 ft², and because there are 36 tiles in the mosaic, the total area is 182.25 ft². Mosaics are an ancient and durable art form requiring significant skill to create, especially when using small tesserae.

Explanation:

Francesca's window store created a mosaic for the community center that consisted of a 6 × 6 array of square tiles. To find the area of the whole mosaic, we need to calculate the area of one tile and then multiply it by the total number of tiles in the array.

Firstly, we have been given that each tile is 2 1/4 ft in length. Since the tiles are square, the area of one tile will be (2 1/4 ft) × (2 1/4 ft). In decimal form, 2 1/4 ft is equal to 2.25 ft. The area of one tile is therefore:

2.25 ft × 2.25 ft = 5.0625 ft²

Since there are 36 tiles (6 tiles in each direction), the total area of the mosaic will be:

5.0625 ft² × 36 = 182.25 ft²

Mosaics require considerable skill and time to create, especially when they employ tiny tesserae. As seen throughout history, mosaics have been used to decorate many surfaces, such as those in Francesca's example. The durability and artistic value of mosaics continue to make them a popular choice for artistic expression in structures like the community center.

Since 24 = 8*3, we can factor out the GCF 8 like so

8x^2 - 24 = 8*x^2 - 8*3 = 8(x^2-3)

This is using the distributive property.

Answer:

g=2

Step-by-step explanation:

6(2+g)=24

Expanding the parentheses:

12+6g=24

Subtracting 12 from both sides:

6g=12

Dividing both sides by 6:

g=2

Hope this helps!

Answer:

g=2

Step-by-step explanation:

1. Distribute the left-hand side:

12+6g=24

2. Subtract 12 from both sides:

    12-12+6g=24-12

= 6g=12

3. Divide both sides by 6:

g=2

Answer:

c

Step-by-step explanation:

Answer:

c hope this helps!

Answer: 64 total cents in the 12th row

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

There is 64 total cents in the 12th row. We can figure this out by adding a nickel, a dime, and a penny. So, this gives us 1 + 5 + 10, which equals 16. The 12th row consists of 4 sets of 3 consecutive coins, so we take 16 and multiply it by four. So the final answer is 64.

Answer:

A is the great circle

B is the diameter

C is the radius

D is the center

Step-by-step explanation:

Answer:

look at explanation :)

Step-by-step explanation:

Identify the parts of a sphere.

a is the  great circle

b is the  diameter

c is the  radius

d is the  center