Sara needs to determine the number of 3/4 pound servings into 9 3/4 pounds of turkey.she calculates that there are 13 servings.is stated calculation correct why or why not

Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.

Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:

Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.

Write down the equation x + y = -8.

Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.

Substitute this expression for x into the first equation: (-8 - y) * y = -65.

Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.

Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).

This gives us two possible values for y: -13 and 5.

Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.

So, the two numbers that multiply to -65 and add to -8 are -13 and 5.

Answer:

+2

Step-by-step explanation:

=> \((2-3x)(x^2-5)\)

=> \((2x^2-10-3x^3+15x)\)

Arranging it in descending order

=> \(-3x^2+2x^2+15x-10\)

So, the coefficient of x² in this expression is +2

This depends if you are supposed to simplify the binomials first:

If you leave it in the form provided then the coefficient would be 1

However, you can multiply the binomials together in order to simplify the expression:

\((2 - 3x)( {x}^{2} - 5)\)

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

\( { - 3x}^{3} + {2x}^{2} + 15x - 10\)

Which then shows the coefficient would be 2

So it all depends on the directions provided, I would assume the correct answer is 2 if the directions are the exact same as provided on Brainly.

Answer:

Part A:  A) \(\frac{4y^{10}}{3w}\)

Part B:

C) Quotient Rule of Powers (explained in Part A of this post).

D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).

Step-by-step explanation:

\(\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}\)

Use the Quotient Rule of Exponents:

\(\frac{a^{m}}{a^{n}} = a^{m-n}\)

The 28 and 21 can be reduced by dividing both of them by 7.  For the exponential expressions with the same base, you could subtract their exponents.  I'll do each base separately so it doesn't get confusing.

\(\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}\)

\(y^{15-5}\) = \(y^{10}\) (in the numerator).

\(w^{4-3}\) = w (in the denominator. The "w" in the numerator cancels out).

\(z^{7-7}\) = \(z^{0} = 1\)  We used the Zero Exponent Rule here, were it states: \(a^{0} = 1\). (unnecessary to include in the final answer).

Altogether, you'll have:

Option A: \(\frac{4y^{10}}{3w}\)

C) Quotient Rule of Powers (explained in Part A of this post).

D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).

Answer: no one cares

Step-by-step explanation:

The value of the given expression, -50 + 5/13p, when p = -26 is -60

From the question, we are to evaluate the given expression for the given value of p

The given expression is

-50 + 5/13p

and

The given value of p is p = - 26

Substitute the given value of p into the given expression

That is,

-50 + 5/13p

When p = -26, the expression becomes

-50 + 5/13(-26)

Simplify

-50 + 5(-2)

-50 - 10

= - 60

Hence, the value of the expression is -60

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Answer:

0.306

Step-by-step explanation:

Using binomial probability,

\(\binom{9}{2}(3/13)^2 (10/13)^7 \approx 0.306\)

Answer:

$8

Step-by-step explanation:

if 6 balls= $42

what about 1 ball

you cross multiply

The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Answer:

You can actually change it however you want I just happen to add two underneath the radical which shifted the graph to the left and I subtracted five on the outside of the radical which shifted the graph down five

The function h(x) is a transformation of the square root parent function, f(x)= √x then the function h(x) is√x+2 - 5

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

f(x) = √x

f(x) is a parent function.

a parent function is the core representation of a function type without manipulations such as translation and dilation.

We have to find the function h(x) which is obtained by transforming the function f(x)

From the given graph, the function f(x) is moved up about 2 units and the shifted left of 5 units

h(x) =√x+2 - 5

Hence, the function h(x) is a transformation of the square root parent function, f(x)= √x then the function h(x) is√x+2 - 5

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Based on the given information, Jenna used approximately 67% of the 6 noodles for her project.

Percent is a way of expressing a fraction or a decimal as a fraction of 100. It is denoted by the symbol "%". For example, the fraction 3/4 can be written as 75% and the decimal 0.5 can be written as 50%. Percentages are commonly used in everyday life to express values such as discounts, interest rates, and success rates.

Here,

Each noodle is 1 foot long, so 6 noodles make a total of 6 feet of noodles.

From the diagram, it appears that Jenna used approximately 4 feet of noodles.

So, Jenna used 4/6 = 2/3 of the total amount of noodles.

Converting 2/3 to a percentage gives approximately 66.7%, which rounds to 67% when rounding to the nearest percent.

Therefore, Jenna used approximately 67% of the 6 noodles for her project.

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Answer:

17.

Step-by-step explanation:

7× 2- (9 + 2) + 14

= 14 - 11 + 14

= 17.

The linear function for the given graph is y = x + 20.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:

y = mx + b

From the graph,

The coordinates of the given graph are (0,20) and (20,40)

Then, slope (m) = (40-20)/(20-0) = 20/20 = 1

and y-intercept (b) = 20

So, the equation will be y = 1x + 20

Hence, the linear function for the given graph is y = x + 20.

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The correct answer is: As the risk of an investment increases, the opportunity of gains decrease.

The correct answer is: As the risk of an investment increases, the opportunity of gains decrease.

When it comes to investments, risk and potential returns are often inversely related.

In general, higher-risk investments have the potential for higher returns, while lower-risk investments tend to offer lower returns.

This relationship exists because investors require a greater incentive to take on higher levels of risk.

Option A, "As the risk of an investment decreases, the opportunity of gains increases," is incorrect because it suggests that lower risk leads to higher gains.

However, in reality, lower-risk investments typically offer more modest returns.

Option B, "As the risk of an investment decreases, so does the potential for its return," is incorrect as it correctly recognizes that lower risk is associated with lower potential returns.

However, it suggests a direct relationship, whereas the relationship between risk and return is more nuanced.

Option C, "As the risk of an investment increases, its market value increases," is incorrect.

The risk of an investment does not directly impact its market value.

Market value is influenced by a range of factors such as supply and demand dynamics, investor sentiment, and overall market conditions.

Option E, "As the risk of an investment increases, its market value decreases," is also incorrect.

The market value of an investment is not solely determined by its risk level.

Other factors, such as future growth prospects and investor perceptions, also play significant roles in determining market value.

In summary, option D, "As the risk of an investment increases, the opportunity of gains decreases," accurately captures the relationship between risk and potential gains.

Investors typically expect higher returns for taking on higher levels of risk, making the opportunity for gains lower as risk increases.

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The qustion asks to express 33% in its equivalent fraction and decimal.

33% can be expressed directly as 33/100

This is the equivalent fraction

We can now proceed from here to get the decimal that is equivalent to this

Mathematically, that will be 33/100 = 0.33

33% in its equivalent fraction and decimal is 33/100 and 0.33 respectively

g(x) is a translation of 6 units downwards.

Here we have the function:

y = f(x) = 3x + 1

Notice that the y-intercept of f(x) is:

f(0) = 3*0 + 1 = 1

The y-intercept of f(x) is y = 1.

Now, we know that the y-intercept of g(x) is -5. then:

g(x) = 3x - 5 = f(x) - 6

Meaning that g(x) is a translation of 6 units downwards.

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Answer:

translated 2

units up

g(x)= f(x-2)

Step-by-step explanation:

The representations of the inequality is  an open circle is at 1 and a bold line starts at 1 and is pointing to the right.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Since our answer is x > 1.  An open circle will be at 1 and a bold line starts at 1 and is pointing to the right (>). Check the attached image.

Note: You only shade up if you have ≤ (less than or equal) or ≥ (greater than or equal).

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Answer:

the heck is all that I can’t solve this fix it then I will

Step-by-step explanation:

For the bottom and the right, just use the graph.

Base = 5

Leg = 7

Hypotenuse =

\( \sqrt{ {(x1 - x2)}^{2} } + {(y1 - y2)}^{2} \)

Answer:

B. 3⁻⁴; E. 1/3⁴.

Step-by-step explanation:

1. rule is:

cᵃ:cᵇ=cᵃ⁻ᵇ;

2. according to the rule above:

3⁻⁸:3⁻⁴=3⁻⁸⁺⁴=3⁻⁴, then

3. correct answer is 'B'; 'E'.

Answer:

3/28

Step-by-step explanation:

Answer:

Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5y+2-2y=8y-4-2y

5y-2y=8y-2y-4-2

3y=6y-6

6y-3y=6

3y=6

y=6/3

y=2

Answer:

72 yd

Step-by-step explanation:

12 x 3=36

6 x 6=36

36 + 36= 72

Answer:

72 yd

Step-by-step explanation:

9×(12-6) = 54

3×6 = 18

54+18 = 72

Answer:

a. Graph A: Cost vs Volume

Graph B: Calories vs Volume

b. Graph B (Calories vs Volume)

c. k = 15

Step-by-step explanation:

a. It is not possible for a volume of 10 oz of drink to be sold for $150. It doesn't make common sense. Also, calorie level of 150 in 10 oz of drink seem plausible.

It makes more sense if 10 oz of the drink cost $3.75. Therefore, the graphs should be titled as follows:

Graph A: Cost vs Volume

Graph B: Calories vs Volume

b. The quantities in Graph B (Calories vs Volume) appear to be in a proportional relationship. We know this because if we try drawing a line to connect the points on the graph, it will give us a straight line. A straight line connotes proportionality.

Also the ratio of the quantities of the two known points given are the same. I.e. \( \frac{150}{10} = \frac{360}{24} = 15 \)

Therefore the quantities compared in Graph B shows a proportional relationship.

c. Constant of proportionality = \( \frac{150}{10} = \frac{360}{24} = 15 \)

Answer:

9\(\sqrt{2}\)/2

Step-by-step explanation:

Since this is a right triangle designated by the square box in the right side, we know 2 of the angles. 45 and 90. Add these 2 angles and subract them from 180 which turns out to be 45.

We can use the law of sines to solve.

sin90/9 = sin45/x

x = 9sin45 = 6.36 = 9\(\sqrt{2}\)/2

Answer:

\(\boxed{15 km}\)

Step-by-step explanation:

→ Write out the scale

3 cm = 5 km

→ Multiply everything by 3 to get 9 cm on the left side

9 cm = 15 km

Answer:

A. 67.12 cm²

Step-by-step explanation:

The rectangle is 3 cm by 6 cm.

area of rectangle = 3 cm × 6 cm = 18 cm²

The triangle has a 6 cm base and an 8 cm height.

area triangle = 6 cm × 8 cm / 2 = 24 cm²

The semicircle has a diameter of 8 cm and a radius of 4 cm.

area semicircle = (1/2)(3.14)(4 cm)² = 25.12 cm²

Add the three areas to find the total area.

18 cm² + 24 cm² + 25.12 cm² = 67.12 cm²

Answer: A. 67.12 cm²

\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)

where, n denotes to number of elements in set .

Since, given set contains 4 elements .

Thus , 2⁴ {2 raise to power 4} .

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)

Therefore, Required subsets are 16.

They are , Namely;

\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)

_____________________________

If n is the number of elements in the set then,

No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).

Let's take another example, {1,2}

Here, n = 2

subsets =2^2 =4

Subsets = ϕ, {1}, {2},{1,2}

Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set