Solve for x. See picture for full problem. Please and thank you!

Answer:

255.00

Step-by-step explanation:

425.00 x .60 = 255

Answer:

78 ft cubed

Step-by-step explanation:

First calculate the volume of the toys...

5 x 3 x 2 = 30

Now the book boxes...

6 x 4 x 2 = 48

30 + 48 = 78

The combined volume should be 78 feet cubed! hope this helps!!!

Answer:

78 ft³

Step-by-step explanation:

Volume of a rectangular prism = length × width × height

Toy Box

⇒ volume = 5 × 3 × 2 = 30 ft³

Book Box

⇒ volume = 6 × 4 × 2 = 48 ft³

Total combined volume = 30 + 48 = 78 ft³

Answer:

What are the questions so I can help you out

Answer:

where is the question?

Step-by-step explanation:

Answer:

thx:)

Step-by-step explanation:

Answer:

oof

Step-by-step explanation:

9514 1404 393

Answer:

  (x +6)(3x +4)

Step-by-step explanation:

The usual approach to this is to look for factors of the product 3·24 that have a sum of 22.

  72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9

Sums of these factor pairs are 73, 38, 27, 22, 18, 17.

Now, you can rewrite the expression splitting the middle term into two parts:

  3x² +4x +18x +24

  x(3x +4) +6(3x +4) . . . . . . factor by grouping

  (x +6)(3x +4) . . . . . . . . . . your factored form

_____

Additional comment

I find this method easiest to explain and to do without error. There are various "X" methods in which you write the product at the top (3·24) and the sum at the bottom (22), then fill in the sides with the factors having that product and sum (4, 18). When the leading coefficient is not 1, there are methods added to this that get you to the correct factors.

One such method is to use the leading coefficient inside parentheses: (3x+4)(3x+18) Then divide that product by the leading coefficient:

  (3x +4)(3x +18)/3 = (3x +4)(x +6).

In some cases, each of the binomials needs to be divided by part of the leading coefficient; not the whole thing, as here.

\(\\ \sf\Rrightarrow 3x^2+22x+24\)

\(\\ \sf\Rrightarrow 3x^2+18x+4x+24\)

\(\\ \sf\Rrightarrow 3x(x+6)+4(x+6)\)

\(\\ \sf\Rrightarrow (3x+4)(x+6)\)

Done!

The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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The complement of the empty set is the set of all possible elements in the universal set U, which is the English alphabet in this context.

The universal set U is defined as the set of all possible elements or values under consideration for a given context. On the other hand, the complement of a set A is defined as the set of all elements that are not in A but are in U.

The complement of the empty set is defined as the set of all elements in U since the empty set is a subset of every set.

Therefore, the complement of the empty set in this context would be the entire set of all letters in the English alphabet.

This is because the empty set contains no elements, and therefore, its complement would be the set of all possible elements in U, which in this case is the English alphabet.

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Answer:

2,210

Step-by-step explanation:

Answer: The answer is option C: $17,925.00.

Step-by-step explanation: Using the simple interest formula:

I = Prt

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

We can find the interest earned over the 6 years:

I = P * r * t = $15,000 * 0.0325 * 6 = $2,925

Adding the interest to the principal, we get the balance at the end of the 6 years:

Balance = Principal + Interest = $15,000 + $2,925 = $17,925

Therefore, the answer is option C: $17,925.00.

The slope of any line parallel to this line would be c) 3/7.

Parallel lines are those lines that are equal distances apart and often of the same length. So, for the given slope where we have parallel lines, we can expect to have lines of the same slope. Thus we can arrive at 3/7.  

Note that parallel lines have the same slope. So, since the first slope is 3/7, we can expect the second to be the same thing.

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For the given Problem, The correct option giving Rachel's height in inches is (D) 70.

A z-score, also called standard score, can be used to measure- how much an observation or data point deviates from the mean of the distribution. By Subtracting the mean of the given distribution from the observation and after that dividing it by the standard deviation will give us the z-score for given observations.

Given:

Mean height (μ) = 65 inches

Standard deviation (σ) = 2 inches

Percentile (P) = 99%

The Z-score, commonly known as the standard score, helps in quantifying how much a data point deviates from the mean. It can be computers as:

\(Z = (X - \mu) / \sigma\)

where X is the value of the data point.

We can rearrange the equation to solve for X:

\(X = Z * \sigma + \mu\)

We may use a regular normal distribution table or a Z-table to obtain the Z-score corresponding to the 99th percentile. The Z-score for the 99th percentile is roughly 2.33.

\(X = 2.33 * 2 + 65\\\\X = 4.66 + 65\\\\X = 69.66\\\\{X}\;\approx70\; inches\)

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By observing the pattern and using the given information, we calculated that Jane would put 28 pennies in the sixth row if she continues the pattern of placing pennies. However, there seems to be a discrepancy between the information given and the pattern. It is advisable to verify the accuracy of the provided information to ensure the correct calculation of the number of pennies in each row.

We can observe that each row follows a specific pattern. The number of pennies in each row increases by 3 more than the previous row.

To find the number of pennies in the sixth row, we can use the formula:

Number of pennies in the nth row = Number of pennies in the (n-1)th row + 3

Let's calculate the number of pennies in each row using this formula:

First row: 4 pennies

Second row: 4 + 3 = 7 pennies

Third row: 7 + 3 = 10 pennies

Fourth row: 10 + 3 = 13 pennies

Fifth row: 13 + 3 = 16 pennies

Sixth row: 16 + 3 = 19 pennies

However, the prompt stated that Jane put 13 pennies in the third row, not 10 pennies. This suggests that there might be an error in the given information. Assuming the given information is correct, let's continue the calculation:

Seventh row: 13 + 3 = 16 pennies

Eighth row: 16 + 3 = 19 pennies

Ninth row: 19 + 3 = 22 pennies

Tenth row: 22 + 3 = 25 pennies

Eleventh row: 25 + 3 = 28 pennies

Therefore, if Jane continues the pattern, she will put 28 pennies in the sixth row.

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Answer:

D

Step-by-step explanation:

Given the input - 1 \(\frac{1}{2}\) = - \(\frac{3}{2}\) , then

(- \(\frac{3}{2}\) )² = \(\frac{9}{4}\) , then subtract 2

\(\frac{9}{4}\) - 2 = \(\frac{9}{4}\) - \(\frac{8}{4}\) = \(\frac{1}{4}\)

Then reciprocal which is 1 over the previous value

reciprocal = \(\frac{1}{\frac{1}{4} }\) = 4 ← output → D

Answer:

linear

Step-by-step explanation:

(a) The number of standard deviations below the null value for x = 72.3 is approximately -1.21.

(b) Using α = 0.005, the conclusion is to reject the null hypothesis since the test statistic falls in the critical region. The test statistic is approximately -2.15, and the p-value is approximately 0.0161.

(a) To find the number of standard deviations below the null value for x = 72.3, we subtract the null value (73) from the observed value (72.3) and divide by the standard deviation (6). This gives us (-0.7) / 6 = -0.1167, which can be rounded to -1.21.

(b) To test the hypothesis with α = 0.005 and x = 72.3, we calculate the test statistic. The test statistic is given by (x - μ) / (σ / √n), where x is the sample mean, μ is the null value, σ is the standard deviation, and n is the sample size. Plugging in the values, we get (-0.7) / (6 / √25) = -2.15 (rounded to two decimal places).

Next, we determine the p-value associated with the test statistic. Since the alternative hypothesis is one-sided (Ha: μ < 73), we look up the p-value for -2.15 in the t-distribution with n-1 degrees of freedom. The p-value is approximately 0.0161 (rounded to four decimal places).

(c) For the test procedure with α = 0.005, we want to find the critical value at which the test statistic corresponds to a probability of α in the left tail of the t-distribution. We look up the critical value for α = 0.005 in the t-distribution with n-1 degrees of freedom. Let's denote this critical value as c. Then, we can find c such that P(T < c) = α, where T is a random variable following a t-distribution with n-1 degrees of freedom.

(d) To ensure that P(T < c) = 0.01 when α = 0.005, we need to find the sample size n. We can use the t-distribution and the critical value c from part (c) to solve for n. The equation becomes P(T < c) = 0.01 = α. By looking up the critical value c in the t-distribution table and solving the equation, we can find the required sample size n.

(e) If a level 0.01 test is used with n = 100, we want to find the probability of a Type I error when the true population mean is μ = 76. The probability of a Type I error is equal to the significance level (α) of the test. In this case, α = 0.01. Therefore, the probability of a Type I error is 0.01.

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Answer:

-7

Step-by-step explanation:

⅖ x (-7) x 5/2

0.4 x -7 x 2.5

-2.8 x 2.5

-7

Answer:

-7

Step-by-step explanation:

→ 2/5 × (-7) × 5/2

→ -14/5 × 5/2

→ -70/10 = -7

Hence, the answer is -7.

\(32^{\frac{1}{25}}\times 2^x~~ = ~~8^{\frac{1}{4}}\implies (2^5)^{\frac{1}{25}}\times 2^x~~ = (2^3)^{\frac{1}{4}}\implies 2^{\frac{1}{5}}\times 2^x=2^{\frac{3}{4}} \\\\\\ 2^{\frac{1}{5}+x}=2^{\frac{3}{4}}\implies \cfrac{1}{5}+x=\cfrac{3}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{1}{5}+x \right)=20\left( \cfrac{3}{4} \right)} \\\\\\ 4+20x=15\implies 20x=11\implies x=\cfrac{11}{20}\)

Answer:

1. r - 38 = 9

=> r = 9 + 38

=> r = 47

2. h + 17 = 40

=> h = 40 - 17

=> h = 23

3. n + 75 = 155

=> n = 155 - 75

=> n = 80

4. q - 17 = 18

=> q = 18 + 17

=> q = 35

Step-by-step explanation:

Hoped this helped.

In Euclidean geometry, there are at least three non-collinear points in space, at least four non-coplanar points in space, and at least five points that do not all lie in the same plane.

Euclidean geometry is a branch of mathematics that is concerned with the study of points, lines, planes, and angles in two and three-dimensional space.

It was developed by the Greek mathematician Euclid in the third century BCE, and it is the most widely studied and applied branch of geometry.

Euclidean geometry is based on a set of axioms, or postulates, which are statements that are assumed to be true without proof. One of the axioms in Euclidean geometry states that in space, there are at least three points that do not lie on the same line. This is known as the axiom of existence.

In other words, if we take any three points in space, we can always find a plane that contains them. This plane is called a non-degenerate plane, and it is one of the fundamental concepts in Euclidean geometry. If we take four points in space, we can always find a plane that contains them.

This is known as the axiom of existence for four points. If we take five points in space, we can always find a plane that contains four of them, but there is no guarantee that the fifth point will lie on the same plane. This is known as the axiom of existence for five points.

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The homework completed by Eric will be equal to 13/21.

The fraction is defined as the division of the whole part into an equal number of parts.

To add fractions, you first have to set the denominators equal to each other. To do this, you find the LCD (least common denominator) of the two fractions until you find a shared number.

To do this, list out the multiples of each number (3x1=3,3x2=6,3x3=9, and so on. Do this also with 7) The LCD for 3 and 7 is 21. 3x7=21, and 7x3=21. You want to set each fraction’s denominator equal to 21.

You want to multiply each side of 1/3 by 7. 1/3 would become 7/21. You’d do this because 3x7=21, and if you multiply the bottom by you need to multiply the top by. 7x3=21 so you multiply both sides by 3 to get 6/21.

Now you have 7/21 and 6/21 and can add them. Now that they are equal, you can ignore the denominator and just add the numerators. 7+6=13 so Eric completed 13/21 of his homework.

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Use the binomial series to expand the function as a power series, the radius of convergence R is 4.

Using the binomial series to expand the function \(3(1-x/4)^{(2/3)}\), we can represent it as a power series. The expansion will be in the form:
3 - (1/2)x + 6Σ\(((-1)^{(n-1)(3n-4)(2n+1)}/(3^n)(n!)(x/4)^n)\), from n=2 to infinity.
The radius of convergence, R, is determined by the ratio of consecutive terms in the series, which in this case is (x/4)^n. Since the series converges for all values of x within the range |x/4| < 1, we can determine the radius of convergence by solving the inequality:
|x/4| < 1 -> |x| < 4
Thus, the radius of convergence R is 4.

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Answer:

0.25

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

To solve this expression, we need to remember that division should be done before multiplication or addition/subtraction.

So we first simplify the expression by dividing 1/2 by 6:

1/2 ÷ 6 = 1/2 × 1/6

Next, we multiply the two fractions by multiplying their numerators and denominators:

1/2 × 1/6 = (1 × 1)/(2 × 6) = 1/12

Therefore, the value of the expression 1/2 ÷ 6 is equal to 1/12.

Answer:

Step-by-step explanation:

When the diver hits the water the height, h(t), becomes zero.  We set h(t) equal to zero and solve the resulting equation for t:

h(t) = -4t^2+ 11t + 3 = 0

The coefficients of this quadratic equation are {-4, 11, 3}, and so the discriminant (needed in the quadratic formula) is -11 - 4(-4)(3) = 47.

                                            -11 ± √37               11 + √37            11 - √37

Therefore the roots are t = --------------, or t = ------------- or t = ---------------

                                                  -8                          8                        8

Both of these results are positive.  Picture the graph as one opening down and intersecting the x-axis in two places.  The diver hits the water (and h becomes zero) at the later time:

       11 + √37

t = ---------------- sec (a little over 2 sec)

              8

Answer: C

Step-by-step explanation:

First, find the y-intercept of the graph -> when x = 0

In this case, y-intercept is +4. Hence answer is C immediately.

To double confirm the answer, find the gradient.

Gradient of graph is (4-0)/(0-(-2)) = 4/2 = 2 (any two fixed points on the graph can be obtained)

Hence, equation of graph is y = 2x+4 (form y = mx+c, where m is the gradient and c is the y-intercept of the graph)

Answer:

1 box of brownie mix= 2 eggs and 1/2 cups of oil

ans=

2 boxes of brownie mix= (2 eggs ×2)(1/2 cups of oil × 2)

=4 eggs and 1 cup of oil

Answer:

4 eggs and 1 cup of oil.

Step-by-step explanation:

2x2=4 1/2x2=1

Answer:

10

Step-by-step explanation:

( 2 + 3 ) × 2

5 × 2 = 10

Answer:

10

Step-by-step explanation:

(a+b)2

(2+3)2

5(2)

10

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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