please simplify- e⁵×e⁴​

Answer:

There is a 0.2 chance or 20% change that he will choose a nonfiction book. PLease mark as helpful if it is! thanks

Answer:

Step-by-step explanation:

Let x be the number.

6 times the number = 6*x = 6x

Sum of 6 times of a number and twelve = 6x + 12

Three-fourths of the sum of 6 times of a number and twelve = \(\frac{3}{4}(6x +12)\)

\(\frac{3}{4} ( 6x + 12) = \frac{3}{4}*6x + \frac{3}{4}*12\\\\\)

                \(= \frac{3}{2}*3x + 3*3\\\\=\frac{9}{2}x + 9\)

Step-by-step explanation:

First consider the given line 8x = 2y - 5. This can be rewritten as

2y = 8x + 5

y = (8x + 5)/2 = 4x + 2.5

The line is y = 4x + 2.5. This is of the form y = mx + b.

On comparing, we see that the slope of the given line is m = 4

Now, we require to find the slope of a line perpendicular to this. Let its slope be m'.

We know that for two lines to be perpendicular, the product of the slopes = -1

So, m * m' = -1

4 * m' = -1

m' = -1/4

Answer: Slope of the perpendicular line is -1/4.

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

$512

16g+17n= m

Step-by-step explanation:

Multiply 16 and 15 to represent the amount of money from working in the grocery store and 17 and 16 to represent the money from the nusery home. Add them to get 512.

Given: a||c and b||c

Prove a||b

we know that

if two lines are parallel, then their slopes are equal

that means

If a||c and b||c

then

ma=mc and mb=mc

so

by the transitive property

if ma=mc and mb=mc

then

ma=mb

the slopes of the lines a and b are equal

therefore

lines a and b are parallel

Answer: 2/3

Step-by-step explanation:   y1-y2    3-(-1) = 4       simplify  4/6=2/3

                                               x1-x2     4-(-2)= 6

Slope is described as "the rise over the run," meaning that it's the fraction of "the change in the y-values compared to the change in the x-values."

In this situation
    - the change in the y-values is 3 - (-1) = 4.
    - the change in the x-values is 4 - (-2) = 6.
so the fraction is 4/6 or 2/3.

As a general formula, the formula for slope is \(m = \dfrac{y_2-y_1}{x_2-x_1}\).

      \(m = \dfrac{3-(-1)}{4-(-2)}=\dfrac{4}{6}=\dfrac{2}{3}\)

Answer:

Throughout the clarification segment elsewhere here, the definition of it's concern is mentioned.

Step-by-step explanation:

Central theorem:

Statement:

If x would be any distribution of random sample 30 more wide with either a mean = \(\mu\)

standard deviation = \(\sigma\)

After which \(\bar{x}}\) would have had a roughly normal distribution which

mean = \(\mu\) and

default variance = \(\frac{\sigma}{\sqrt{n}}\)

Answer:

Step-by-step explanation:

I do know give me brainliest first

Answer:

24 gift bags

Step-by-step explanation:

Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!

May I have heart, 5 star, and brainliest please?

Answer:

When takiing the 2a to the other side she forgot to change sign:

8(−a+4)=−6a−8+8a

−8a+32=2a−8

−10a=−40

a = 4

The answer is C

The mistake that Lily made if this equation has no solution is (B. She applied the distributive property incorrectly).

Lily applied the distributive property incorrectly when trying to simplify the left-hand side of the equation. The correct steps should involve distributing the 8 to both terms inside the parentheses, but it seems like Lily only distributed the 8 to the first term and missed the second term. This resulted in an incorrect simplified equation and subsequent steps.

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Answer: I think it might be (A)

Step-by-step explanation:

Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

\(4x+7y=9\)              [subtract both sides by 4x]

\(7y=-4x+9\)           [divide both sides by 7]

\(y=-\frac{4}{7}x+\frac{9}{7}\)

Now, we know the slope is -4/7.

The unknown angle in the cyclic quadrilateral is as follows:

m∠CML = 109 degrees

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees.

Therefore, let's find m∠CML as follows:

Using the arc angle and opposite angle of a quadrilateral theorem,

6x + 25 = 1 / 2 (7x + 14 + 106)

6x + 25 = 1 / 2(7x + 120)

6x + 25 = 7 / 2 x + 60

6x - 7 / 2 x  = 60 - 25

6x - 3.5x = 35

2.5x = 35

divide both sides by 2.5

x = 35 / 2.5

x = 14

Therefore,

m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees

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Answer:

96

Step-by-step explanation:

to be honest i just looked it up on google

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

The statements that are true regarding the expression with the exponents -1, -3, and 1 are;

An exponent is a quantity or power to which a value, expression or number is to be raised.

The specified expression can be presented as follows;

8⁻¹ × 8⁻³ × 8

Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³

1/8³ = 1/512

Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³

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The range of the graphed function in this problem is given as follows:

[-9, 9].

The values of y in this function are between -9 and 9, inclusive, hence the range of the function is given as follows:

[-9, 9].

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Answer:

the answer is 10.63km/L.

The given options are not clear enough, so i have attached the full question with the correct options.

Answer:

Option A:

Average rate of change=[f(b) - f(a)]/(b-a)

Instantaneous rate of change of y at x = a is found by finding the limit as "b" approaches "a"

Step-by-step explanation:

The average rate of change of a function f(x) on an interval [a, b] is defined as the slope of the secant line, which is calculated by the formula;

[f(b) - f(a)]/(b - a)

While the instantaneous rate of change of f(x) at x = a is defined as the slope of the tangent line, which is calculated by finding the limit as "b" approaches "a". This is written as; f'(a) .

Looking at the options, the correct answer is option A.

Answer:

1.75 more 7.35-5.60 = 1.75 patty spent more than carl

Step-by-step explanation:

Solution for the given System of linear equation is:

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given,  the system of linear equations on the left with its solution type on the right

For  Y=2x-1 and Y=2x+1

Adding both equation,  we will get y = 4x

Thus, these equations have infinite number of solution

For 2x - y = 7 and 3x + y = 3

Adding these equations

5x = 10

x= 2

Substitute the value in equation 1

y = -3

Thus, solution is (2, - 3)

therefore, the Solution for the given System of linear equation is:

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Complete question:

Given:

Area of box I = 48 cm²

Area of box 2 = 24 cm²

Area of box 3 = 48 cm²

Area of box 4 = 24 cm²

Area of box 5 = 72 cm²

Area of box 6 = 72 cm²

• Let's find the values which represent the dimensions of the prism.

Let L represent the length.

Let w represent the width

Let h represent the height.

Now, to find the surface area of a rectangular prism apply the formula:

A = 2(wL + Lh + wh)

Now, given each rectangular face, we have:

Area of length and width, Lw = 72 cm²

Area of length and height, Lh = 48 cm²

Area of width and height, wh = 24 cm²

Now to find the dimensions, we have:

Now, substitute 2w for L in Lw:

Therefore, the width is 6 cm.

Now, substitute 6 for w in wh:

Now, substitute 4 for h in Lh:

Therefore, the values which represent the dimensions are:

4, 6, 12

ANSWER:

4, 6, 12

The dimensions of the cup that minimize the construction cost are 2 x 2 x 5 in

Given:  Capacity = 20 in³, cost of material for the side = 12¢/in² and cost of material for the base = 60¢/in²

In order to calculate the dimension of the cup

Let h and x represent the height and square base respectively

Thus, the capacity (volume) of the pencil cup is can be represented as:

V = x²h     (where V = 20)

20 = x²h

h = 20/x²

At minimum cost, we have:

C(x) = 60x² +  12(4xh)

C(x) = 60x² +  48xh         (put h = 20/x²)

C(x) = 60x² +  48x(20/x²)

C(x) = 60x² +  960/x

Differentiating with respect to x, we have:

C(x) = 120x - 960/x²      (multiply through by x²)

120x³-960 = 0

120x³ = 960

x³ = 960/120

x³ = 8

x = ∛8 = 2 in

For the height:

h = 20/x²

h = 20/2²

h = 20/4 = 5 in

dimensions = 2 x 2 x 5 in

Therefore, the dimensions of the cup that minimize the construction cost are a 2 x 2  square base and  height of 5 in

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Explanation:

Pick any term and subtract off the previous term to get the common difference.

So,

13/40 - 1/5 = 13/40 - 8/40 = (13-8)/40 = 5/40 = 1/8

Or

9/20 - 13/40 = 18/40 - 13/40 = (18-13)/40 = 5/40 = 1/8

The positive common difference value indicates this arithmetic sequence is increasing.

The function that represents the given trigonometric graph is; f(x) = cos (x)

From the given trigonometric Graph, we can see the following;

When x = 0, y = 1

When x = π/2, y = 0

When x = π, y = -1

When x = 2π, y = 1

Now, according to trigonometric functions in radians, we know that;

cos 0 = 1

cos  π/2 = 0

cos  π = -1

cos  2π = 1

These values correspond with what we have in the given trigonometric graph and as such we can say that the function that is graphed is;

f(x) = cos (x)

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The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.

We have,

In set theory, a proper class is a class that is not a set.

A class is a collection of objects, and a set is a class that can be a member of other classes.

On the other hand, a proper class cannot be a member of another class.

The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.

This means that V cannot be an element of any other class or set within the context of the set theory being considered.

The concept of proper classes is used to prevent paradoxes and contradictions that can arise when unrestricted comprehension is allowed in set theory.

Thus,

The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.

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Step-by-step explanation:

The answer is 262.5%

5/8=5÷8=0.625

2 5/8=2.625

2.625=262.5%

262.5%  and   2.625

5/8=5÷8=0.625 then 2 5/8=2.625 then we get 2.625=262.5%

All we do here Is divide then round It to the nearest 1, 10, or 100.

Division Is separate or be separated into parts, and noun of division Is a wide divergence between two groups, typically producing tension or hostility.

Adjusting the digits (up or down) to make rough calculations easier.

9514 1404 393

Answer:

  1.8%

Step-by-step explanation:

The effective rate can be found using the simple interest formula.

  I = Prt . . . interest of principal P at annual rate r for t years

  r = I/(Pt) . . . . solve for r

Using the given numbers, we have ...

  r = 243/(4500·3) = 0.018 = 1.8%

The annual interest rate was 1.8%.

The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).

To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:

Confidence interval = sample mean ± (critical value * standard error)

First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.

Next, we calculate the standard error (SE) using the formula:

SE = standard deviation / √sample size

In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156

Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)

Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363

This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

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