Which is a unit rate?

If there are 95 families to feed then each family will receive 11 cans of assorted tins.

Assorted tins typically refer to cans or containers of food items that come in different varieties or flavors.

To calculate the number of cans each family will receive, we need to first determine the total number of cans in the 19 boxes.

19 boxes × 55 cans per box = 1045 cans

Now we can divide the total number of cans by the number of families to determine the number of cans each family will receive:

1045 cans ÷ 95 families = 11 cans per family (rounded to the nearest whole number)

Therefore, each family will receive 11 cans of assorted tins.

For example, a box of assorted tins may contain cans of different types of vegetables, fruits, soups, or other food items. The specific assortment may vary depending on the context and the supplier. In the context of the given question, the 19 boxes of assorted tins likely contain cans of different types of food that will be packed into food parcels for the poor.

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Answer:

For units to the right

Step-by-step explanation:

If if you start at ( -4, -7) and move 4 spaces to the right, you will be at (0, -7).

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

25

Step-by-step explanation:

19 *100/76

Number into 100 by percentage

Answer: 30

Step-by-step explanation:

Answer:

1.10

Step-by-step explanation:

that's your answer

The location of the tug boat relative to the port will be 30.83 miles.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angles of right-angle triangles.

The distance of ship A from the port is x

X²= 18²+30²

X²= 324+900

X²=1224

X=34.9857 miles

Bearing from port:-

Tanθ= 18/30

θ = tan^-1 3/5

θ= 31°

N 31° E

The distance of ship B from the port is y.

Y²= 27²+10²

Y²= 729+100

Y²= 829

Y=28.7924 miles

Bearing from port:-

Tanθ = 2.2

θ = 69.7°

90-69.7= 20.3

N 20.3°W

The distance between the two ships is z.

Z²=34.9857²+28.7924²-2(24.9857)(28.7924)cos(31+69.7°)

Z²= 2053+267.1

Z²= 2320.1

Z=48.18 miles

One-fifth of 48.18

=9.63 miles

The distance of the boat is D.

D/sin 60 = 34.9857/sin 100.7

D=30.83 miles

Therefore, the location of the tug boat relative to the port will be 30.83 miles.

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The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

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

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

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\(\LARGE\leadsto\sf m \angle E=41°\)

\(\LARGE\leadsto\sf m \angle F=41°\)

\(\LARGE\leadsto\sf m \angle T=60°\)

\(\LARGE\leadsto\sf m \angle V=30°\)

\(\LARGE\leadsto\sf m\angle G =75°\)

\(\LARGE\leadsto\sf m \angle H=60°\)

\(\LARGE\leadsto\sf m \angle J=45°\)

Answer:

The gcf of 16,48,72 is 4,12,18

Answer:

Answer:

Step-by-step explanation:

10(a)+5(c)=310

a= number of adult

c= number children

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer:

C

Step-by-step explanation:

C is the only answer that doesnt share x-values

The absolute value function that matches the graph is given as follows:

y = -|x + 1| + 1.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex in this problem are given as follows:

(-1, 1).

Hence:

y = a|x + 1| + 1.

The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:

a = -1.

Thus the function is:

y = -|x + 1| + 1.

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The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.

Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\)  2. 2\(x^{0}\)\(y^{-2}\)

Expression for x =2 and y=5

-4x-2 + 3y0

= -4(2)-2 + 3(5)0

= 16+3

=19

Now

2x0y-2

= 2(2)0x(5)-2

= 2 x (1/25)

= 2 x 0.04

= 0.08

Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

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Answer:

C. 2

Step-by-step explanation:

A polynomial function has one or more real numbers as roots or zeros. These roots correspond to the values of x for which the function takes on the value of zero.

In this case, y = (x-2)(x+3)², we can factor the equation to find its zeros. The expression (x-2)(x+3)² can be factored into two terms: (x-2) and (x+3)².

The first term, (x-2), is equal to zero when x = 2, meaning that x = 2 is a root of the function.

The second term, (x+3)², is equal to zero when x = -3, meaning that x = -3 is another root of the function.

So, the function y = (x-2)(x+3)² has two roots, or zeros, at x = 2 and x = -3.

Answer:

26

Step-by-step explanation:

30-4=26

thirty minus four equal 26

Answer:

57,000

Step-by-step explanation:

Answer:

I'm pretty sure it is

Step-by-step explanation:

Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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Step-by-step explanation:

First let solve the inequality

\(5 {x}^{2} + 2x - 3 < 0\)

Factor by grouping

\(5 {x}^{2} + 5x - 3x - 3 < 0\)

\(5x(x + 1) - 3(x + 1)\)

So the factor are

\((5x - 3)(x + 1)\)

So the factor are

\(x = \frac{3}{5} \)

and

\(x = - 1\)

Solutions to a quadratic can be represented by a absolute value equation because remeber quadratics

creates 2 roots and/or double roots.

The inequality

\( |x - b| < c\)

works as

b is the midpoint between 2 roots. And c is the

\( |x + b| = c\)

We know that the midpoint between both roots is-1/5.

so

\( |x - ( - \frac{1}{5} )| < c\)

\( |x + \frac{1}{5} | < c\)

Let use roots 3/5

\( | \frac{3}{5} + \frac{1}{5} | = \frac{4}{5} \)

-1 works as well.

\( | - 1 + \frac{1}{5} | = | - \frac{4}{5} | = \frac{4}{5} \)

So the absolute value equation is

\( |x + \frac{1}{5} | < \frac{4}{5} \)

Answer:

86

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

1. The other angle marked with one arc must also be 43 deg.

2. The two angles put together make an angle of 86 deg.

3. In a parallelogram, the angle at lower right and the angle at upper right are supplementary (they add up to 180 deg.). The upper right angle is 180 - 86 = 94 deg.

4. The angle at lower left is the same, 94 deg.

5. The angles marked with two arcs are half of 94 deg. = 47 deg.

6. Now you have two out of three angles in the triangle. All three angles add up to 180 deg. so the measure of angle 1 is 180 - 47 - 43 = 90 degrees.

Answer:

2 squared - 7 + -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 0.01

The base of the exponential form  is 10 and the power is -2 therefore the answer is 0.01 if the power was 2 the answer would have been 100

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Answer:

See Below

Step-by-step explanation:

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Step-by-step explanation:

He earned his base ($ 2000) plus 4% of $ 4125 ( which is .04 * 4125)

total = $  2165.00

Answer:

2165.00

Step-by-step explanation:

Answer: Its -12

Step-by-step explanation:

In Algebra, a constant is a number on its own.