3) Round (7/8) to the nearest 1/2.
7
8
a.) 0
Ob.) 1/2
Oc.) 1

Answer:

Price of roses is proportional to the number of roses.

Step-by-step explanation:

Let the price of roses are proportional to the number of roses.

Equation representing this phenomenon will be,

P = k(R) ⇒ k = \(\frac{P}{R}\)

where 'P' = price of the roses

R = Number of roses

k = Proportionality constant

If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.

For R = 3 and P = $9  

k = \(\frac{9}{3}\)

k = 3

For R = 6 and R = 18

k = \(\frac{18}{6}\)

k = 3

K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.

Answer:

The answer is -24√35

Step-by-step explanation:

-6√7 × 4√5

Using the rules of surds multiply the numbers outside the square root and the ones inside

That's

(-6×4)(√ 7 × √5)

= - 24√7×5

= -24√35

Hope this helps you

Answer:

-24√35

Step-by-step explanation:

-6√7 × 4√5

-6 × √7 × 4 √5

-6 × 4 × √7 × √5

-24 × √(7 × 5)

-24√35

The correlation of each factor to the medical expenses is found by taking

the medical cost as the dependent variable.

Responses:

Regression equation are;

The given data in tabular form are presented as follows;

\(\begin{tabular}{|c|c|c|c|} \underline{Medical cost}&\underline{Alcohol}&\underline{Weight}&\underline{Age}\\2,100&200&185&50\\2,378&250&200&42\\1,657&100&175&37\\2,584&200&225&54\\2,658&250&220&32\end{array}\right]\)

The regression equation is; \(\overline y\) = a + b·\(\mathbf{\overline x}\)

Where;

\(b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}\)

\(Regression \ coefficient, \ r = \mathbf{\dfrac{n \cdot \sum XY - \left (\sum X \right )\left (\sum Y \right )}{\sqrt{n \cdot \sum X^{2} - \left (\sum X \right )^{2}\times n \cdot \sum Y^{2} - \left (\sum Y \right )^{2}}}}\)

The regression equation for each health factor are calculated as follows:

For alcohol;

\(b = \dfrac{86,100}{15000} = \mathbf{ 5.74}\)

\(\overline x\) = 200

\(\overline y\) = 2275.4

a = 2275.4 - 5.74 × 200 = 1127.4

The regression coefficient, where n = 5 is therefore;

\(r = \dfrac{5 \times 2,361,500 - 1000 \times 11377}{\sqrt{(5 \times 215000 - 1000^2) \times (5 \times 26552553 - 11377^2) } } \approx \mathbf{ 0.862}\)

Weight:

\(b = \dfrac{33,458}{1870} \approx \mathbf{ 17.892}\)

\(\overline x\) = 201

\(\overline y\) = 2275.4

a = 2275.4 - 17.892 × 201 =-1320.9

The regression coefficient, is therefore;

\(r = \dfrac{5 \times 2,320,235- 1005 \times 11377}{\sqrt{(5 \times 203875- 1005^2) \times (5 \times 26552553 - 11377^2) } } \approx \mathbf{0.949}\)

Age:

\(b = \dfrac{1566}{328} \approx \mathbf{4.774}\)

\(\overline x\) = 43

\(\overline y\) = 2275.4

a = 2275.4 - 4.774 × 43 ≈ 2070.1

The equation is therefore;

The regression coefficient is therefore;

\(r = \dfrac{5 \times 490777 - 215 \times 11377}{\sqrt{(5 \times 9573 - 215^2) \times (5 \times 26552553 - 11377^2) } } \approx \mathbf{ 0.106}\)

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According to the information we can infer that the total yardage traveled from 0 to 120 seconds is 140 yards.

To calculate the total yardage traveled we have to consider the movement of the O'Connor Panthers. In this case we have to consider that the movement in the y axis.

In this case we can conclude that the total yardage traveled was 140 yards because:

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Answer:

y = (-x/3) +1   or y = (-1/3 * x) + 1

Step-by-step explanation:

For the inverse of a function, you invert the y and x positions.

In your case:

y = -3x+3

The inverted function is:

x = -3y+3

When you solve this for y, you get:

-3y = x-3

y = -x/3 +1

Hey there!☺

\(Answer:\boxed{6}\)

\(Explanation:\)

If x is equal to 4, then you will have to multiply 6 by x which is 4.

\(6*4=24\)

Now subtract 18 from 24.

\(24-18=6\)

\(6x-18=6\)

6 is your answer.

Hope this helps!☺

Answer:

(in the image)

Step-by-step explanation:

I'm not sure I understood your question completely but I hope this helps.

The cost of bag of popcorn is $7.5 and that of one drink is $5.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have Xochitl who went into a movie theatre and bought 6 bags of popcorn and 4 drinks, costing a total of $65, Alonso went into the same movie theatre and bought 9 bags of popcorn and 8 drinks, costing a total of $107.50.

Assume that the cost of one popcorn bag is $[x] and one drink is $[y]. Then we can write -

6x + 4y = 65

9x + 8y = 107.5

Plot the graph of both equations and the points of intersection would be the solution set. Refer to the graph below. We get x = $7.5 and y = $5.

Therefore, the cost of bag of popcorn is $7.5 and that of one drink is $5.

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Answer:

1. 1/3

2. -2

3. 0

4. -2

5. 2/3

6. 0

Step-by-step explanation:

I'm going left to right for each graph just for clarification so you don't get confused.

I hope this helps and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

Answer:

c (62)

Step-by-step explanation:

Answer:

B and C are both in slope-intercept-form.

Step-by-step explanation:

Slope Intercept Form is --> y = mx + b, where m is the slope, and b is the y-intercept.

Both B and C have a slope (-6/4 for B, -3/2 for C) and both have a y-intercept (8/4 or 2).

I hope this helps. Please mark me brainliest!

Answer:

Step-by-step explanation:

This is a problem of ratios:

Set the problem up with matching similar side lengths equal:

50/10 = x/12

First simplify the left side:

50/10 = 5

Next, multiply both sides by 12.

We are left with:

x = 12(5)

x = 60

Answer:

N(h²) = - h² + 3

Step-by-step explanation:

Since N(t) = - t + 3

N(h²) is obtained by replacing t by h².

N(h²) = - h² + 3

Answer:

Domain: x \(\geq\) -5

Range: y \(\geq\) -3

Step-by-step explanation:

The domain is all the possible inputs or x value.  x will be greater than -5.

The range is all of the possible outputs or y value.   y will be greater than -3

Answer:

Domain:  [-5, ∞)

Range:  [-3, ∞)

Step-by-step explanation:

The given graph shows a continuous curve with a closed circle at the left endpoint (-5, -3) and an arrow at the right endpoint.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

The domain of a function is the set of all possible input values (x-values).

As the leftmost x-value of the curve is x = -5, and it continues indefinitely in the positive direction, the domain of the  graphed function is:

The range of a function is the set of all possible output values (y-values).

From observation, it appears that the minimum y-value of the curve is y = -3. The curve continues indefinitely in the positive direction in quadrant I. Therefore, the range of the graphed function is:

Answer:

X=48

Step-by-step explanation:

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Answer:

a dice has 1 two and 1 three

1/6 *1/6 =1/36

We have to check if the point (3, 4) satisfy the inequality 4x+2y >= 6.

We can check by replacing x and y with the point coordinates:

As the inequality is true, we know that the point is a solution to the inequality.

Answer: Yes, it is a solution.

The answer is 1.C 2.$500

Answer:

The calculated value Z = 2 > 1.96 at 0.05 level of significance

Alternative Hypothesis is accepted

The proportion of defective tablets manufactured in this factory is less than 6%."

Step-by-step explanation:

Step(i):-

Given Population proportion P = 0.06

Sample size 'n' = 500

A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective.

Sample proportion

                                  \(p^{-} = \frac{x}{n} = \frac{20}{500} =0.04\)

Null hypothesis :H₀: P = 0.06

Alternative Hypothesis :H₁:P<0.06

Level of significance = 0.05

Z₀.₀₅ = 1.96

Step(ii):-

       Test statistic

                          \(Z = \frac{p^{-} -P}{\sqrt{\frac{P Q}{n} } }\)

                         \(Z = \frac{0.04 -0.06}{\sqrt{\frac{0.06 X 0.94}{500} } }\)

                        Z =  - 2

                    |Z|= |-2| = 2

Step(iii):-

The calculated value Z = 2 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

Alternative Hypothesis is accepted

The proportion of defective tablets manufactured in this factory is less than 6%."

Answer:*

Step-by-step explanation:

The value of the inequality expression 2x ≤ 5 is (oo, 2.5]

How to evaluate the inequality expression?

The inequality expression is given as

2x ≤ 5

The above inequality expression is an inequality with only one variable

So, it means that we can solve it by dividing both sides of the inequality by 2

Solving further, we have

Divide both sides of the inequality by 2

2x/2 ≤ 5/2

Evaluate the quotient

x ≤ 5/2

Evaluate the other quotient

x ≤ 2.5

Express as interval notation

(oo, 2.5]

Hence, the solution is (oo, 2.5]

See attachment for the graph

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1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.

2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.

When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.

Similar figures have the same shape, but they may have different sizes and be located in different positions.

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Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

Answer:

the answer of it is 35.75

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: D. Hope It helps!!!!!

Answer: it is an exponential decay function

Step-by-step explanation:

Since 0.3 is less than 1 then increasing the value of the x will lead to the decrease of the value function y

Answer:

✔️AFE AND BFD

Step-by-step explanation:

vertical angles are angles are formed from a pair of intersecting lines. The vertical angles are angle AFE and BFD

These angles are formed from a pair of intersecting lines, The meet at a point X in a figure.

from the given figure, we need to find which of the angles are vertical angles. Since vertical angles are equal, hence the measure of this angles must be equal.

From the diagram, the vertical angles are angle AFE and BFD

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