If you ate 2.5 cups of this particular cereal, how many calories and grams of fiber would you be consuming? 190 calories, 7 grams fiber 380 calories, 14 grams fiber 475 calories, 17.5 gram

The values of A and B in these equivalent ratios are A = 2 and B ≈ 20.

To solve for the values of A and B in the given equivalent ratios, we can use the concept of cross-multiplication. This involves multiplying the extremes (the first and last numbers) and means (the second and third numbers) separately and then equating them to find the unknowns.
We can first write the ratios as fractions and then set up a proportion. The given ratios are A:7:5 and 8:28:B.
\(\frac{A}{7} = \frac{8}{28}\) and \(\frac{7}{5} = \frac{28}{B}\)
Solve for A:
\(\frac{A}{7} = \frac{8}{28}\), we can simplify \(\frac{8}{28}\) to \(\frac{2}{7}\), so \(\frac{A}{7}=\frac{2}{7}\).
To find A, we can cross-multiply:
\(A = 2\)
Solve for B:
\(\frac{7}{5} =\frac{28}{B}\), we can simplify \(\frac{7}{5}\) to \(1.4\), so \(1.4=\frac{28}{B}\).
To find B, we can cross-multiply:
\(B=\frac{28}{1.4}\)
B ≈ 20
So, the values of A and B in these equivalent ratios are A = 2 and B ≈ 20.

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Answer:

Total cost of the ring is $180.23

Step-by-step explanation:

Marks up price: MP=125⋅\(\frac{135}{100}\)=$168.75

Sales Tax : ST=168.75⋅\(\frac{6.8}{100}\)=11.475=$11.48

Total cost (MP+ST) : TC=168.75⋅+11.48=$180.23

Answer:

m

Step-by-step explanation:

the slope or growth rate of the function is the coefficient of the variable x, which is m in this case

I will use the law of exponent below

⇒if you re multiplying powers of them same base, keep  one base and add the exponents mathematically we say:

\(x^{n} *x^{n} \\=x^{n+n}\)

\(=m^{9+(-3)} \\=m^{9-3} \\=m^{6}\)

OPTION D is the solution

Answer:

$150

Step-by-step explanation: 11.25 divided by tax rate of 7.5 % equals 150

The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

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The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

e2020 has 707 digits.

e is the mathematical constant known as the base of the natural logarithm, which means that the logarithm of any number to the base e is its natural logarithm. It is approximately equal to 2.71828, but its decimal representation goes on infinitely without repeating.

Calculating the number of digits in e2020 involves finding the number of decimal places that e extends past 2020. This is calculated using logarithms.

To find the number of digits in e2020, you can calculate 10^(number of decimal places past 2020) and determine the number of digits in the result.

This gives us 10^(707) = e2020, meaning that e2020 has 707 digits.

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Answer:

1/3x-5

Step-by-step explanation:

simplify by combining like terms

2/3x - 1/3x = 1/3x

-3 + -2 = -5

Answer:

1/3x - 5

Step-by-step explanation:

2/3x + (-3) + (-2) - 1/3x

2/3x - 1/3x + (-3) + (-2)

2/3x - 1/3x - 3 - 2

1/3x - 5

Total 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

In the given question, we have to find how many "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

The given word is INQUISITIVE.

The total alphabets in the word INQUISITIVE is 11.

Let us first count the words without U and then insert U wherever applicable.

Now without U we have total 10 alphabets and the alphabet I is repeated by 4 times.

So permutations is 10!/4! = 151,200

Now we need to put U, we can see its 11 alphabets but U should not follow Q so it becomes 10 alphabets.

Hence, Total number of words = 151,200*10

Total number of words = 1,512,000

Hence, 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

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Answer:

D

Step-by-step explanation:

-2. This is the correct answer, pls give brainliest :)

Answer:

h(-1) = - 6

Step-by-step explanation:

To solve, simply sub -1 into the equation for x:

h(x) = 3x-3

h(-1) = 3(-1) - 3 = - 3 - 3 = - 6

The correct mean of the 10 observations is 14.1.

To find the correct mean, we need to correct the mistake in the data and recalculate the mean.

The mean is the sum of all the observations divided by the total number of observations. In this case, we have 10 observations and the mean is 12.5.

The sum of all the observations can be found by multiplying the mean by the total number of observations. So, the sum of the 10 observations is 12.5 x 10 = 125.

Now, let's correct the mistake. One observation was mistakenly taken as -8 instead of +8. To correct this, we need to add 16 to the sum of the observations. (8 - (-8) = 16)

So, the new sum of the corrected observations is 125 + 16 = 141.

Since we still have 10 observations, we divide the new sum by 10 to find the correct mean.

The correct mean is 141 / 10 = 14.1.

Therefore, the correct mean of the 10 observations is 14.1.

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The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

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Answer:

x > 1.5

Step-by-step explanation:

In order to solve for x, we must isolate x on one side of the inequality.

\(4.2x > 6.3\)

x is being multiplied by 4.2 The inverse of multiplication is division. Divide both sides of the equation by 4.2

\(\frac{4.2x}{4.2} >\frac{6.3}{4.2}\)

\(x> \frac{6.3}{4.2}\)

\(x> 1.5\)

The solution to the inequality 4.2x > 6.3 is x>1.5

Answer:

\(\huge\boxed{x>1\dfrac{1}{2}\to x\in\left(1\dfrac{1}{2},\ \infty\right)}\)

Step-by-step explanation:

\(4.2x>6.3\qquad/\text{divide both sides by 4.2}\\\\\dfrac{4.2x}{4.2}>\dfrac{6.3}{4.2}\\\\x>\dfrac{6.3\cdot10}{4.2\cdot10}\\\\x>\dfrac{63:21}{42:21}\\\\x>\dfrac{3}{2}\\\\x>1\dfrac{1}{2}\)

Answer:

x=2

Step-by-step explanation:

The equation: 7x-4=8+x

So 6x=12

x=2

The equation for the for the graph in picture is

The graph of a trigonometric function is known as a trigonometric graph.

We should apply the equation for the generic sine graph since we wish to determine the equation of the graph.

y = A sin (Bx + C) + D

where:

B = 2π/T, where T is the period, and

A is the amplitude.

A = [absolute maximum - absolute minimum]/2

A = [2.5 - 1.5] / 2

A = 1/2

B = 2π/T

where T = π (from  the graph)

B = 2π/T

B = 2π/(π)

B = 2

C = 0

D = vertical shift = -2

We then substitute into y, thus

y = A sin (Bx + C) + D

y = 1/2 sin 2x - 2

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The height of the baseball is 6 feet at the moment the player begins to leap. Then the correct option is D.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.

h(t) = 35 - 16t²

h(t) = 6 + 18t + 16t²

At t = 0, Then we have

h(0) = 35 - 16(0)²

h(0) = 35

And

h(0) = 6 + 18(0) + 16(0)²

h(0) = 6

The height of the baseball is 6 feet at the moment the player begins to leap.

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Answer:

option 2 or B

Step-by-step explanation:

The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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Answer:

△RED~△TAN

Step-by-step explanation:

Both triangles are similar, even if they have different sizes. They still retain the same degrees.

Proof: Angle RED

180 - 110 - 28 to find m∠E.

m∠E = 42

m∠A = 42

m∠E = m∠A

Answer:

Step-by-step explanation:

The equation of the line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line

Get the slope;

Given the points (-1,3) and (1, 7)

m = y2-y1/x2-x1

m = 7-3/1+1

m = 4/2

m = 2

Substitute the point m = 2 and the point (-1, 3) into the formula above as shown;

y - y0 = m(x-x0)

y - 3 = 2(x-(-1))

y - 3 = 2(x+1)

Hence the required equation is y - 3 = 2(x+1)

Proved that X² is not an unbiased estimator for μ²

Given,

The length of the square plot = μ

The area of the square plot = μ²

You have to make the independent measurements X₁, X₂,.....Xₙ

Variance = σ²

a) We have to show that X² is not an unbiased estimator for μ²

Here,

E(X²) = V(X) + [E(X)]²

= σ²/n + μ² ≠  μ²

Then,

X² is not an unbiased estimator for μ²

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Answer:

7.4 x 10²

7.4 *100

740

Step-by-step explanation:

10^2 = 100

7.4 × 10^2 = 7.4 × 100 = 740

Answer:

(621.49 x  0.1) + 13.99 = x

Step-by-step explanation:

I hope this helps

Answer:

x = 20*

Step-by-step explanation:

180 - 110 = 70

90 - 70 = 20

x = 20*

reason is #5 Algebra

Have a nice day! :-)

Answer:

x= 5

Step-by-step explanation:

The selection of the committee members is an illustration of combination

There are 150150 different ways of selecting the committee

The number of members (n) is:

n = 15

The members on the committee are (r):

r = 4

So, the number of selection is:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

This gives

\(^{15}C_4 = \frac{15!}{(15 - 4)!4!}\)

Evaluate the differences

\(^{15}C_4 = \frac{15!}{9!4!}\)

Expand

\(^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10 * 9!}{9!4!}\)

This gives

\(^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10}{4!}\)

\(^{15}C_4 = 150150\)

Hence, there are 150150 different ways of selecting the committee

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Given:

Equation of line is,

Answer:

It would drop the grade down to about a B- or C+

Step-by-step explanation:

The total length of the trip to Mount Rushmore was 500 miles.

To find the total length of the trip, we need to determine how many miles 8% represents. Since Autumn fell asleep after traveling 40 miles, which is 8% of the trip, we can use this information to calculate the total length.Let's use the formula:
Percentage × Total Length = Amount Traveled
We have the percentage (8%) and the amount traveled (40 miles), so we can set up the equation as follows:
0.08 × Total Length = 40 miles
Now, divide both sides by 0.08 to find the total length:
Total Length = 40 miles ÷ 0.08
Total Length = 500 miles

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