At a grocery store, 60 apples cost $30. How much would it cost to buy 75 apples?

Answer:

4 ft 8 inches = 56 inches

Step-by-step explanation:

We know that there are 12 inches in a foot so first convert 4 ft to inches

4 ft = 4*12 = 48 inches

Add the 8 inches left over

48 inches + 8 inches

56 inches

4 ft 8 inches = 56 inches

I don't really understand the "2 and 2 over 5 hours" part Javier will be paid 30.75 for Tuesday.

Answer:

Neither.

Step-by-step explanation:

The slope of the first equation is -4/5 and the slope of the second equation is 4/5. Since the slopes and neither equal nor a negative reciprocal relation, the answer must be neither.

Answer:

Hey the answer to your question will be under “Explanation”

Step-by-step explanation:

Here is the work and answer:

(I attached a graph and two examples)

The correct answer to your question is

12b + 8p > 120

3b + 2p > 30

ANSWER: (8,9) (8,10)

Hope this helps! :)

Answer:

b=-1

Step-by-step explanation:

10(1+3b)=-20

1+3b=-2

3b=-3

b=-1

To determine the bank accrued as a percentage of the amount, we need to have knowledge of the actual amount that was sent.

However, we can calculate the percentage of the bank accrued charges in terms of the actual amount that was sent by using the formula given below; Percentage of bank accrued = (Bank charges / Actual amount) × 100%For example, let's assume that the actual amount sent was €100, then we can calculate the percentage of bank accrued charges using the formula given above. Percentage of bank accrued = (9.50 / 100) × 100% = 9.5%Therefore, the bank accrued as a percentage of the amount sent was 9.5%.

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To construct a 4x2 matrix D such that AD=I2, we can use the following matrix: D = [0 0 1 0; 0 0 0 1]. It is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C.

Constructing a matrix D such that AD=I2

Let A = -1 be a 1x1 matrix. We want to construct a 4x2 matrix D such that their product AD is equal to the 2x2 identity matrix I2. We can use the following matrix for D:

D = [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

To verify that AD=I2, we can compute the matrix product:

AD = [-1 0 0 0; 0 -1 0 0] [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

= [0 0 -1 0; 0 0 0 -1]

= -I2

Note that D only uses 1 and 0 as entries.

Now, it is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C. To see why, we can use the definition of matrix multiplication. Let C be a general 4x2 matrix:

C = [c11 c12; c21 c22; c31 c32; c41 c42]

Then, we can compute CA as:

CA = [-1 0; 0 -1] [c11 c12; c21 c22; c31 c32; c41 c42]

= [-c11 -c12; -c21 -c22; -c31 -c32; -c41 -c42]

Since CA is a 4x2 matrix and 4 is a scalar, it is not possible for CA to be equal to 4. Similarly, since the entries of C are only 0 or 1, it is not possible for CA to be equal to 14.

Therefore, there is no matrix C that satisfies the equations CA=4 or CA=14.

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Answer:

34.7

Step-by-step explanation:

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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The total price purchasing one item of each would be of $8, which is $10, using proportions.

A proportion is a fraction of a total amount, and equations are built using basic arithmetic operations, along with the unit rates, in the context of the problem, to find the desired measures.

The costs of each item are calculated from the image given at the end of the answer.

The cost of a single donut is of:

$12/6 = $2.

The cost of a single juice bottle is of:

$12/4 = $3.

The cost of a single cupcake is of:

$12/6 = $2.

The cost of a single banana is of:

$12/12 = $1.

Hence the total cost of one item of each(one donut, one juice bottle, one cupcake and one banana) is of:

Cost = 2 + 3 + 2 + 1 = $8.

The problem is given by the image at the end of the answer.

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Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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Answer:

(1, 1) , (5, 2), (6, 4), (4, 7) and (2, 3)

Step-by-step explanation:

When a point is rotated 180° about the origin(either clockwise or anticlockwise), the transformed coordinates are the negatives of the original coordinates.

Thus when a point (x, y) is rotated about the origin, its new coordinates become (-x, -y)

Given the original 5 vertices of the pentagon, the vertices of the rotated pentagon are transformed as follows

Original Vertex    ==>     Transformed Vertex

(-1, -1)                      ==>          (1, 1)
(-5, -2)                    ==>          (5, 2)
(-6, -4)                    ==>          (6, 4)
(-4, -7)                    ==>          (4, 7)
(-2, -3)                    ==>          (2, 3)

A valid study is one that portrays the population being studied and measures what it is supposed to. It must use random sampling and produce expected results to be deemed a reliable source. However, such studies do not necessarily result in a causal relationship between the independent and dependent variables.

The primary goal of any study is to depict the population being investigated in an accurate and unbiased manner. This involves selecting an appropriate sample of the population to study. This is why a study must use random sampling, which means every member of the population has an equal chance of being selected. This helps avoid sample bias, which is when a sample is chosen in a way that it is not representative of the population, leading to incorrect or inaccurate conclusions.

A valid study must measure what it is supposed to, which means that the study should be designed to measure what it claims to measure. For instance, a study on the effects of sleep on memory should use measures that accurately assess memory and sleep. If the study is designed to assess memory but fails to do so, the results will be unreliable. Finally, a valid study verifies expected results.

This means that the study should produce results that are consistent with what is expected based on prior research or theory. However, this does not mean that a study necessarily results in a causal relationship between the independent and dependent variables. Rather, such a relationship can only be inferred if the study is well-designed and the results are properly analyzed and interpreted.

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Answer: 14 Units

Step-by-step explanation: Subtract (10-2) and (11-5)

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

Expansion of the function f(A,B,C,D):

f(A,B,C,D) = (A+B+D')(A'C)(C+D)

= A'A'C + A'CC' + BA'C + BC + D'A'C + D'CC' + BD'(A'C) + BD'(C+D)

= 0 + 0 + BA'C + BC + 0 + 0 + BD'A'C + BD'C + BD'D

= BA'C + BC + BD'A'C + BD'C + BD'D

Minterms SOP for the function with K-map 5.16:

The truth table for the given function is:

A B C F

0 0 0 0

0 0 1 1

0 1 0 1

0 1 1 0

1 0 0 1

1 0 1 0

1 1 0 0

1 1 1 1

The K-map for this function is:

BC

A 00 01 11 10

0 |  0  1  0  1

1 |  1  0  0  1

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C) = A'B' + A'C + BC

Karnaugh map and minimum sum of products for the function F(A,B,C,D)=A'B'+CD'+ABC+A'B'CD'+ABCD:

The truth table for the given function is:

A B C D F

0 0 0 0 0

0 0 0 1 1

0 0 1 0 0

0 0 1 1 0

0 1 0 0 1

0 1 0 1 0

0 1 1 0 1

0 1 1 1 1

1 0 0 0 0

1 0 0 1 0

1 0 1 0 0

1 0 1 1 0

1 1 0 0 1

1 1 0 1 1

1 1 1 0 1

1 1 1 1 1

The K-map for this function is:

   CD

AB 00 01 11 10

00 |   0  1  0  0

01 |   1  0  0  1

11 |   1  1  1  1

10 |   0  0  1  0

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

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Answer:

x - intercept = (15, 0)

y - intercept = (0, 6)

Step-by-step explanation:

x-int. is when y = 0

y-int. is when x=0

Plug in y = 0 and x = 0 to get intercepts.

FOR X-INT.:

12x + 30(0) = 180

12x = 180

x = 15

x-int. is (15, 0)

FOR Y-INT. :

12(0) + 30y = 180

30y = 180

y = 6

y-int. is (0, 6)

The domain of the function is a semicircle with a radius of 5 and centered at the origin, where y is non-negative.

The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is defined as:

\(f(x,y) = \sqrt{y} + \sqrt{[25 - x^2 - y^2} ]\)

To find the domain of this function, we need to determine the values of x and y that would result in the function producing a real-valued output.

For the square root of y to be real, y must be non-negative. That is, y ≥ 0.

For the square root of [\(25 - x^2 - y^2\)] to be real, we must have:

\(25 - x^2 - y^2 \geq 0\\x^2 + y^2 \leq 25\)

This is the equation of a circle with radius 5 centered at the origin. Therefore, the domain of the function is the set of all points (x, y) that lie inside or on this circle and have y ≥ 0.

In interval notation, we can write:

Domain: {(x, y) |\(x^2 + y^2 \leq 25, y \geq 0\)}

To sketch the domain, we can plot the circle with radius 5 centered at the origin and shade the region above the x-axis. This represents all the valid input values for the function. The boundary of the domain is the circle, and the domain includes all points inside the circle and on the circle itself, but not outside the circle.

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Answer:

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Step-by-step explanation:

(p+4q)^3  -->

(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Let's take two 2x2 matrices, A and B.

We know that for matrix multiplication, the columns of the first matrix (A) must equal the rows of the second matrix (B). The product of matrices A and B (AB) will be equal to the following:

On the other hand, if we multiply B and A, we get the following result:

Therefore, AB ≠ BA.

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Answer:

Step-by-step explanation:

\(\dfrac{1}{a^{m}}=a^{-1}\\\\\\\dfrac{1}{5^{4}}=5^{-4}\)

The value of y is 42.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as 1/2 x the sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

In an isosceles trapezoid, the angles on the same line are equal.

This means,

From the figure,

2y = y + 42

Solve for y.

2y = y + 42

2y - y = 42

y = 42

Thus,

The value of y is 42.

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The value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2

Algebraic expressions are expressions composed of variables, terms, factors, constants and coefficients.

They are also made up of mathematical or arithmetic operations

Given the expression;

9 x^2 + 4 x – 11

Substitute the value of x as 3. 2

9(3.2 )² + 4(3.2) - 11

expand the bracket

9(10. 24) + 12. 8 - 11

104. 96 -11

93. 96

Substitute the value of x as -2

9(-2)² + 4(-2) - 11

9(4) - 8 - 11

17

Thus, the value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2

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Answer:

Sure, I can help you with that.

Part A:

The wavelengths 0.0001 and 10^-3 are equal. This is because 0.0001 = 10^-3.

Part B:

The shortest wavelength is 0.0001 nanometers. This is because it is the smallest number in the list.

Part C:

The speed of the wave is 10^y, where y > 3. This means that y must be greater than 3. Therefore, the inequality in terms of x to represent all possible values of x is x > -3.

Part D:

The wavelength of the seventh wave is greater than 2x10^-2 nanometers and less than 5/100 nanometers. This means that the wavelength is between 0.004 and 0.05. A possible wavelength for the seventh wave is 4/100, which is equal to 0.04 nanometers.

Here is a table summarizing the answers:

Step-by-step explanation:

Answer:

7:4

Step-by-step explanation:

70 / 2 : 40 / 2

35:20

35 / 5 : 20 / 5

7:4

Hello! The midpoint of (8,7) and (4,3) Is (7.5, 3.5)

Hope this helps! And have a great day!

Answer:

64

Step-by-step explanation:

I think it is 8 times 8 I’m probably wrong I don’t do this math.

Answer:

21 + 2c

Step-by-step explanation:

-3 + 7 + 7 + 10 = 21

c + c = 2c