I will give BRAINLIEST if correct need asap pls question is in the photo attached

Answer:

1. 4.22

2. 19.415

3. nine and thirty- five

4. Three and four hundred twelve

Step-by-step explanation

Therefore, **x < 7** is the inequality that may be utilized to find x

A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).

For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".

Let x represent how many days the client paid for pet sitting.

$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.

We are aware that the customer's purchase was under $125. Consequently, we can write:

20 + 15x < 125

Putting this disparity simply:

15x < 105

x < 7

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Answer:

To mathematically prove that Marc hit the ball near the top of the tower, he could use the equation h(x) = -16x^2 + 120x, where h is the height of the ball and x is the number of seconds the ball is in the air.

First, Marc would need to determine the maximum height the ball reached during its flight. This can be found by using the vertex formula, which is x = -b/2a. In this case, a = -16 and b = 120, so x = -120/(2*-16) = 3.75 seconds.

Next, Marc can substitute this value back into the original equation to find the maximum height the ball reached. h(3.75) = -16(3.75)^2 + 120(3.75) = 135 feet.

Since the tower is 300 feet tall, Marc could conclude that if the ball hit near the top of the tower, it would have reached a height close to 300 feet. Since the ball reached a maximum height of 135 feet, it is unlikely that it hit the top of the tower.

However, this calculation assumes that the tower is directly in line with Marc's shot and that the ball did not have any horizontal movement. In reality, the tower could have been to the left or right of the shot, and the ball could have had some horizontal movement, which would affect its height at impact. Therefore, this calculation can only provide a rough estimate and cannot definitively prove whether or not the ball hit near the top of the tower.

The margin of error for the 90% confidence interval is 3.

To find the margin of error for a 90% confidence interval, we can use the formula:

Margin of Error = (Upper Limit - Lower Limit) / 2

Given the confidence interval (72, 78), where 72 is the lower limit and 78 is the upper limit, we can substitute these values into the formula to calculate the margin of error.

Margin of Error = (78 - 72) / 2

Margin of Error = 6 / 2

Margin of Error = 3

Consequently, the 90% confidence interval's margin of error is 3.

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Here's the formula:

y - y1 = m(x - x1)

Substitute numbers accordingly:

y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)

x1:  and 10 goes to the x1 spot

m:  -3 belongs in m

The answer is C,

Where ever two lines intersect or cross is a point where both lines have the same/a common solution!

Answer: mostly c

Step-by-step explanation: Based on the graph which statement is correct about the solution to the system of equations for lines A and B?

The maximum possible area of such a triangle is $\frac{1}{2} \cdot \sqrt{4 + 2\sqrt{3}} = \frac{\sqrt{12 + 6\sqrt{3}}}{2} = 3\sqrt{3} + 3$, and $a + b + c = 3 + 3 + 3 = \boxed{9}$.

Let O and O' be the centers of the circles with radii 1 and 3, respectively, and let P and Q be points on the small and large circles, respectively, such that TPQ is a triangle. ]

Since the radius of the small circle is 1, we have TP = 1. Let R be the midpoint of PQ, so that TR is the altitude of triangle TPQ from T. Let x = TP = 1, y = TQ, and z = TR.  [asy]

unit size(0.6 cm);

pair O, OO, P, Q, R, T;

O = (0,0);

OO = (4,0);

T = (0,3);

P = intersection points(Circle(O,1),Circle(T,2))[1];

Q = intersection points(Circle(OO,3),Circle(T,2))[0];

R = (P + Q)/2;

draw(Circle(O,1));

draw(Circle(OO,3));

draw(T--P--Q--cycle);

draw(T--R);

label("$O$", O, SW);

label("$O'$", OO, SE);

label("$P$", P, NW);

label("$Q$", Q, NE);

label("$R$", R, S);

label("$T$", T, N);

label("$x$", (T + P)/2, W);

label("$y$", (T + Q)/2, E);

label("$z$", (T + R)/2, W);

[/asy]

Then we have TR = z, and by the Pythagorean Theorem in right triangle TPQ we have

\begin{align*}

TQ^2 - 1 &= TR^2 = z^2, \

TQ^2 + 9 &= (TQ + TR)^2 = (TQ + z)^2.

\end{align*}Solving for TQ in the first equation and substituting into the second, we obtain

[(1 + z)^2 + 9 = (1 + z)^2 + 4z^2,]which simplifies to $z^2 - 2z - 2 = 0$. The positive root of this quadratic equation is $z = 1 + \sqrt{3}$, so $TQ = \sqrt{4 + 2\sqrt{3}}$. Then the area of triangle TPQ is

[\frac{1}{2} \cdot TP \cdot TQ = \frac{1}{2} \cdot \sqrt{4 + 2\sqrt{3}}.]Thus the maximum possible area of such a triangle is $\frac{1}{2} \cdot \sqrt{4 + 2\sqrt{3}} = \frac{\sqrt{12 + 6\sqrt{3}}}{2} = 3\sqrt{3} + 3$, and $a + b + c = 3 + 3 + 3 = \boxed{9}$.

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Option d is correct

y=β0+β1x1+β2x2+β3x3+........+βkxk+ε

Where y is the "independent" variable and 0 to k are the "regression" coefficients. In a "multiple linear regression" model, the "independent" variables are x1, x2, x3,..., xk, and the "residual" or "error" term is.

The "residual" for the regression model is calculated using the following formula.

Residual=y-ŷ

Where y is the "independent variable's" "actual" value and is the "independent variable's" "predicted" value.

The "difference" between the "actual" value of the "dependent" variables and the corresponding "predicted" value when employing the "multiple regression" model is referred to as the "residual" in the "residual" formula.

A statistical technique for evaluating the relevance of a "multiple regression" model is the "F test." Linear models are A linear model is a statistic that explains the “relationship” between “response” and “predictor” variables. Using the “multiple regression” model, the “predicted” value of the “response” variable is denoted by ŷ.

hence option 4 is correct

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I understand you mean:

What is a residual for a multiple regression model and the data that is used to create it? Select one:

1.A statistic that is used to evaluate the significance of the multiple regression model

2.A statistic that explains the relationship between response and predictor variables

3.The predicted value of the response variable using the multiple regression model

4.The difference between the actual value of the response variable and the corresponding predicted value (regression error) using the multiple regression model

Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

The function that models the number of bacteria, f(t), at time t, in hours, is f(t) = 100(∛4)^t

Based on the scatter plot, we can see that the data points roughly form an exponential curve.

Therefore, we can use the function of the form f(t) = ab^t to model the data, where a is the initial value of the function (the number of bacteria at t=0) and b is the growth factor.

To find the values of a and b, we can use the two data points given in the table: (0, 100) and (3, 400). Substituting these values into the equation, we get:

100 = ab^0  ->  a = 100

400 = ab^3

Dividing the second equation by the first equation, we get:

4 = b^3  ->  b = ∛4

Therefore, the function that models the number of bacteria, f(t), at time t, in hours, is f(t) = 100(∛4)^t

So the answer is f(t) = 100(∛4)^t.

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Answer:

gg8jhytufgkl

Step-by-step explanation:

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

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Answer:

Step-by-step explanation:

Option a.

The amount of tax that is added to the cost of the computer is 159.72

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

Computer cost = 968

Tax percentage = 16.5%

Using the above as a guide, we have the following:

Tax amount = Computer cost * Tax percentage

substitute the known values in the above equation, so, we have the following representation

Tax amount = 968 * 16.5%

Evaluate

Tax amount = 159.72

Hence, the amount of tax that is added to the cost of the computer is 159.72

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Log₁₆(256b) in terms of the logarithm of b, which is the factor that was multiplied by 256 inside the logarithm is  2 + log₁₆(b)

We can use the product rule of logarithms, which states that the logarithm of a product is equal to the sum of the logarithms of the factors.

Therefore, we can write

log₁₆(256b) = log₁₆(256) + log₁₆(b)

We can simplify log₁₆(256) as follows:

log₁₆(256) = log₁₆(16^2) = 2

Therefore, we have:

log₁₆(256b) = log₁₆(256) + log₁₆(b)

= 2 + log₁₆(b)

So, we have rewritten log₁₆(256b) in terms of the logarithm of b, which is the factor that was multiplied by 256 inside the logarithm.

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Answer:

5 miles

Step-by-step explanation:

15-10=5

hope it helps

Answer:

5 miles

Step-by-step explanation:

15 - 10 = 5

Answer: 4x + 6y >/ 50

Step-by-step explanation:

The answer is A. 4x + 6y is greater than or equal to 50

The difference of the functions, f(x) = 3x² + 4x - 6 and g(x) = 6x³ - 5x² - 2, is: D. (f - g)(x) = -6x³ + 8x² + 4x - 4.

Finding the difference of two functions involves combining like terms together and then simplify.

Given the functions:

f(x) = 3x² + 4x - 6

g(x) = 6x³ - 5x² - 2

To find (f - g)(x), it implies that we find the difference between f(x) and g(x).

(f - g)(x) = f(x) - g(x)

Substitute

f(x) - g(x) = (3x² + 4x - 6) - (6x³ - 5x² - 2)

Open the parentheses:

f(x) - g(x) = 3x² + 4x - 6 - 6x³ + 5x² + 2

Combine like terms

f(x) - g(x) = - 6x³ + 8x² + 4x - 4

Therefore, the answer is: D. (f - g)(x) = -6x³ + 8x² + 4x - 4

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Answer:

1.16667

Step-by-step explanation:

When told in the question that random number of sample is tested

z test statistic formula = x - x bar(x with bar above it) /Standard error

From the question

x = raw score = 46 pounds

x bar (x with bar above it)= sample mean = 45.5 pounds

Standard Error = σ/√n

Standard deviation = σ = 3

n = random number of samples = 49

z = 46 - 45.5/3/√49

z = 0.5/ 3/7

z =0.5/ 0.4285714286

z = 1.16667

Therefore , the value of the z test statistic = 1.16667

Answer:

1.17

Step-by-step explanation:

The answers to the statements that have been made here are:

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The method that determines the volume of the prism is simply multiply the area of the base by the height, and the result is 12.5 cm³. (option-a)

To determine the volume of the prism shown in the diagram, we need to multiply the area of the base by the height.

The base of the prism is a rectangle with dimensions 5 cm by 2 cm. Therefore, the area of the base is:

A = length x width = 5 cm x 2 cm = 10 cm²

The height of the prism is 2-¹ cm, which is equivalent to 5/4 cm.

Therefore, the volume of the prism is:

V = A x h = 10 cm² x 5/4 cm = 12.5 cm³

The expressions involving unit cubes and one-quarter cubes are not relevant to this problem and do not provide a method for finding the volume of the prism.

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Answer:

10

Step-by-step explanation:

because 25%of 40 is 10

Answer:

10

Step-by-step explanation:

Using a linear function, given by S(x) = 10 + 2x, we have that:

A linear function is modeled by:

y = mx + b

In which:

One example is a person with savings of $10, and the amount increases by $2 each week, hence the relation is:

S(x) = 10 + 2x.

In which:

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The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the Inequality y≤ 1/2 x -4.

Now, we plot the inequality on the Graph as shown by the red region.

As, the inequality intersect the axis at (0, -4) and (8, 0).

Thus, the solution is (0, -4) and (8, 0).

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Answer and Step-by-step explanation: There are a number of ways of calculating an area under a curve. The more precise way is to use Definite Integral:

The function is \(2x\sqrt{x^{2}+1}\), then the area under, with interval between 0 and 6 is:

\(\int\limits^6_0 {(2x\sqrt{x^{2}+1}) } \, dx\)

To solve this integration, use substitution method, in which:

\(u=x^{2}+1\)

\(\frac{du}{dx}=2x\)

du = 2xdx

Replacing into the integral:

\(\int\limits^a_b {\sqrt{u} } \, du\)

Solving:

\(\int\limits^a_b {\sqrt{u} } \, du=\frac{2}{3} \sqrt{u^{3}}\)

Replacing it back to x:

\(\int\limits^6_0 {2x\sqrt{x^{2}+1} } \, dx =\frac{2}{3}\sqrt{(x^{2}+1)}\)

Substituing limits between 0 and 6:

\(= \frac{2}{3}[\sqrt{(6^{2}+1)^{3}}-\sqrt{(0^{2}+1)^{3}} ]\)

= 149.37

Area under the curve using Integration is 149.37 square units

Another way of calculating area under the curve is dividing the area into a number of small rectangles and then adding the area of each one. This method is called Riemann Sums and it is an approximation of the area.

The method is done by the following relation:

in which

i is the n, the number of subintervals the area is dividing into

Δx is width of each subintervals.

For the function f(x) = \(2x\sqrt{x^{2}+1}\), interval between 0 and 6:

\(\Delta x=\frac{6-0}{12}\)

\(\Delta x=\) 0.5

\(A=\Sigma f(x_{i}).\Delta x\)

\(A = f(0)*0.5+f(0.5)*0.5+f(1)*0.5+f(1.5)*0.5+f(2)*0.5+f(2.5)*0.5+f(3)*0.5+f(3.5)*0.5+f(4)*0.5+f(4.5)*0.5+f(5)*0.5+f(5.5)*0.5\)

\(A=0+1.12*0.5+2.83*0.5+...+50.99*0.5+61.49*0.5\)

A = 131.575 square units

\(\Delta x=\frac{6-0}{5}\)

Δx = 1.2

\(A=f(0)*1.2+f(1.2)*1.2+f(2.4)*1.2+f(3.6)*1.2+f(4.8)*1.2\)

\(A=0*1.2+3.75*1.2+12.48*1.2+26.90*1.2+47.07*1.2\)

A = 108.24 square units

Comparing results, notice that with less subintervals, the area is far from the exact measure. It occurs because Riemann Sums is an approximation method. So, if there are more subintervals, more approximate is the area, therefore, more precise it will be.

The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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Answer:

you see

Step-by-step explanation: