A line has a slope of 1 and passes through the point (7,5). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

The graphical solution to the inequality is attached below with the solution at coordinate (50, 45).

Groups :

Total of atleast 95 :

Atmost Five less students in Y than in X :

Using graphical inequality solver or calculator :

Hence. The solution to the inequality is (50, 45) and the graph is attached below.

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The equation, (x - 10)² + (y - 5)² = 144, represents a circle with center (10, 5) and radius 12.

From the question, we are to determine the center and radius of the circle represented by the given equation

From the given information, the given equation is

(x - 10)² + (y - 5)²= 144

To determine the center and the radius of the circle we will compare the given equation to the standard form of the equation of a circle:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

The equation

(x - 10)² + (y - 5)²= 144

can be written as

(x - 10)² + (y - 5)²= 12²

By comparison,

h = 10, k = 5 and r = 12

Hence, the center of the circle is (10, 5) and the radius is 12

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When a 6-sided die is rolled, P(3 or 5) is equal to B. 1/3.

A 6-sided die has six possible outcomes: 1, 2, 3, 4, 5, and 6. To find P(3 or 5) or the probability of rolling a 3 or a 5, we need to add the probabilities of rolling each of those numbers separately and then subtract the probability of rolling both numbers (3 and 5) at the same time to avoid overcounting.

The probability of rolling a specific number on a fair die is 1/6, since there are 6 possible outcomes.

So, P(rolling a 3) = 1/6 and P(rolling a 5) = 1/6

P(3 or 5) = P(rolling a 3) + P(rolling a 5) - P(rolling 3 and 5) = 1/6 + 1/6 - 0 (since rolling 3 and 5 is not possible)

= 2/6 = 1/3

Therefore, the probability of rolling 3 or 5 on a fair 6 sided die is 1/3.

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Answer:

top box #1 = 1.0 and top box #4 = 2.4

bottom box = 50

Step-by-step explanation:

find the constant rate of change. If 1.5 goes up by 0.5 then subtract it for the first box and add 0.5 to 2 for the fourth box. for the bottom the constant rate of change is +20 so add 20 to 30 giving u 50.

Q6: A, Árbol

Q7: D, nube

Q8: C, Viento

Q9: B,

Q10: D, Cielo

Q11: D, Hablarian

Answer:

B

Step-by-step explanation:

B works because 30² + 72² = 78²

900 + 5184 = 6084

6084 = 6084

Answer:

B

Step-by-step explanation:

BROOOOO they literally taught me today, and every triangle equals 180 degrees so add 30 cm, 72 cm, 78 cm and it gives you 180. trust me on this :)))

Answer:

Step-by-step explanation:

12 +4 - (-4)=13

12 +4 +4 =13

20 =13

20-13 =0

7=0

Is there any particular answer you need this channelled to?

Answer:

60 minutes or 1 hour

Step-by-step explanation:

Set x as the amount of time she spends riding the bus

75 = time on bus + time on train

She spends 4 times as long on the train as on the bus so the time she spends on the train is 4x

75 = x + 4x

75 = 5x

x = 15 minutes on the bus

Since she spends 4 times as long on the train, we do 4 x 15 and we get 60 minutes which is 1 hour

The equation 4x² - 2x = 10 has two distinct real solutions and the discriminant is 164.

We have to determine the discriminant of the equation 4x² - 2x = 10

To do this we need to first express the equation in the standard form ax² + bx + c = 0.

Here, the coefficients are a = 4, b = -2, and c = -10.

The discriminant (Δ) of a quadratic equation ax² + bx + c = 0 is given by the formula Δ = b² - 4ac.

Let's calculate the discriminant for this equation:

Δ = (-2)² - 4 × 4 × (-10)

= 4 + 160

= 164

We know that if Δ > 0, there are two distinct real solutions.

If Δ = 0, there is one real solution (a repeated root).

If Δ < 0, there are no real solutions (two complex conjugate roots).

So, Δ = 164, which is greater than 0.

Therefore, the equation 4x² - 2x = 10 has two distinct real solutions.

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Answer:

z=2.61

Step-by-step explanation:

the values of the vertically opposite angles ∠ RTS and ∠ PTQ will be 40° and ∠ PTR will be 140°.

We are given the value of two vertically opposite angles as:

∠ PTQ = x + 28

∠ RTS = 2 x + 16

We need to find the value of both the angles.

So, we get that:

x + 28 = 2 x + 16

2 x - x = 28 - 16

x = 12

Substituting it to find the values of the angles:

∠ PTQ = x + 28

∠ PTQ = 12 + 28

∠ PTQ = 40°

∠ RTS = 2 x + 16

∠ RTS = 2 (12) + 16

∠ RTS = 24 + 16

∠ RTS = 40°

∠ PTR = 180 - 40 = 140°

Therefore, the values of the vertically opposite angles ∠ RTS and ∠ PTQ will be 40° and ∠ PTR will be 140°.

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From the full question attached, it is clear that from the graph, the storage life of the bunch was 2 days less than predicted on the temperature by the least square regression line.

The Least Square Regression line, also known as best life of fit, is the line that minimizes the variance or makes the vertical distance (when plotted on the graph) from the data points to the regression line as small as possible.

It should be noted that Storage Life is the dependent variable (y) while Storage Temperature is the independent variable (x). The answer, therefore, is D.

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Answer:

Step-by-step explanation:

Please leave rating if this helped :)

There are 0.375 inches far apart are the rest stops on the new​ map.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A map of a highway has a scale of 2 inches=45 miles.

The length of the highway on the map is 8 inches. There are 17 rest stops equally spaced on the​ highway, including one at each end.

Since, A map of a highway has a scale of 2 inches = 45 miles.

Hence, For 8 inches,

⇒ 45 × 8 / 2

⇒ 180 miles

Since, There are 2 stope at the end.

Hence, There are 16 gaps from each stop.

Since, 1 inch = 30 miles

Hence, 180 miles = 180/30 inches

                            = 6 inches

Thus, We get;

Distance the rest stops on the new​ map is,

⇒ 6 / 16 = 0.375 inches

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Answer:

A

Step-by-step explanation:

it is A for every output y , there is only one input x

Answer:

A

Step-by-step explanation:

Because all the x-intercepts are different. Whereas all the other ones have repeats of numbers in the x-intercepts.

Answer:

0.75c

Step-by-step explanation:

If we have an expression as:

a*x + b*x

We can see that both terms in the expression, a*x and b*x have an x, so we can call the x a common factor and we can write an equivalent expression as:

a*x + b*x  = (a + b)*x

If we replace, for example, a by 2, b by 3 and x by 4, we can test the expression as:

2*4 + 3*4  = (2 + 3)*4

 8   +  12  = (5)*4

    20        = 20

Therefore, if we have the following expression:

c - 0.25*c

The expression that is equivalent is 0.75c and it is calculated as:

c - 0.25*c = (1 - 0.25)*c

c - 0.25*c = 0.75*c

Answer:

Hamburger

Step-by-step explanation:

That food item is the most voted item.

1. The  statement "In a hypothesis test, if the sample data is determined to be in the critical region with α = 0.05, then the same sample data would still be in the critical region if α were changed to 0.01." is false.

2. The statement "If a researcher decides to reject the null hypothesis using an alpha level of α = 0.05 at the conclusion of a hypothesis test, then they would include the statement of "p < 0.05" when writing their research report." is true.

1. In a hypothesis test, if the sample data is determined to be in the critical region with α = 0.05, then the same sample data would still be in the critical region if α were changed to 0.01.
This statement is false.

The critical region is dependent on the chosen alpha level. If the alpha level is decreased from 0.05 to 0.01, the critical region becomes smaller, and the sample data might not be in the critical region anymore.

2. If a researcher decides to reject the null hypothesis using an alpha level of α = 0.05 at the conclusion of a hypothesis test, then they would include the statement of "p < 0.05" when writing their research report.
This statement is true.
When a researcher rejects the null hypothesis with α = 0.05, it means that the p-value (probability) of observing the sample data is less than 0.05. Therefore, it is appropriate to include the statement "p < 0.05" in the research report to indicate this finding.

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Answer:

Option A is the correct option.

Step-by-step explanation:

Base (b) = 5 ft

Perpendicular (P) = 6 ft

Hypotenuse (h) = ?

Now,

Using Pythagoras theorem,

\( {h}^{2} = {p}^{2} + {b}^{2} \)

\( {h}^{2} = {(6)}^{2} + {(5)}^{2} \)

\( {h}^{2} = 36 + 25\)

\( {h}^{2} = 61\)

\(h = \sqrt{61} \)

\(h = 7.8 \: ft\)

Hope this helps...

Good luck on your assignment

Answer:

a. 7.8

Step-by-step explanation:

5242880 insects would be present in 20 days.

The correct answer is an option (c)

"\(f(x)=ab^x\),

where a is the initial value

b is the growth rate

x is time. "

For given question,

Suppose the function for the population growth is,

\(A(t)=A_0\times b^t\)                    

A colony of insects doubles every day.

⇒ b = 2

The colony has 5 insects today.

⇒ \(A_0=5\)

So, the exponential growth function would be,

\(A(t)=5\times 2^t\)                   ...........(1)

We need to find the number of insects after 20 days,

From equation (1),

\(\Rightarrow A(20)=5\times 2^{20}\\\\\Rightarrow A(20)=5\times 1048576\\\\\Rightarrow A(20)=5242880\)

Therefore, 5242880 insects would be present in 20 days.

The correct answer is an option (c)

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The closest option to the reorder point is 71.40 pounds.

To determine the reorder point, we need to find the demand during the lead time and the safety stock.

First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.

Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.

Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.

The standard deviation is given as 6 pounds.

So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.

Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.

Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.

Therefore, the closest option to the reorder point is 71.40 pounds.

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Interp2 is a MATLAB function that can be used to resize arrays of different sizes. This function is especially useful when we want to change the dimensions of an array without losing any important data.

An array is a collection of values or elements arranged in a specific order. When we want to resize an array, we essentially want to change its shape, but keep the same amount of data. This can be tricky when dealing with arrays of different sizes, because we need to find a way to map the data from one array onto another.

Interp2 helps us do this by using interpolation. Interpolation is a mathematical technique that allows us to estimate values between known data points. In the context of array resizing, interpolation is used to estimate the values of the new array based on the values of the old array.

To use interp2 to resize arrays, we need to provide it with the following inputs:

The old array (the array we want to resize)

The new size of the array (the dimensions of the new array)

The method of interpolation (how we want to estimate the values of the new array)

For example, let's say we have an array A that is 4x4, and we want to resize it to a 6x6 array. We can use interp2 as follows:

B = interp2(A, 6, 6, 'cubic');

In this case, we are telling interp2 to resize the array A to a 6x6 size using cubic interpolation. The resulting array B will have the same amount of data as A, but will be reshaped to fit the new dimensions.

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Answer:

$2

Step-by-step explanation:

15-3=12

12/6=2

Answer:

2$

Step-by-step explanation:

15 (total) - 3 (the magazine) = 12 (how much he spent for all the notepads)

12 (how much he spent for all the notepads) ÷ 6 (how many notepads h ebought) = 2

in other words:

15$ - 3$ = 12$

12$ ÷ 6 $= 2$

he spent 2$ each notepad

On a 7.5-minute quadrangle map, the spacing of UTM grid lines is typically 1,000 meters (1 kilometer) apart. To determine the contour interval if it is not provided in the map margin, one can examine the elevation markings on the map and identify the vertical distance between consecutive contour lines. Contours differ between a steep slope and a shallow slope in terms of their spacing. On a steep slope, the contour lines are closer together, indicating rapid changes in elevation. On a shallow slope, the contour lines are spaced farther apart, indicating gradual changes in elevation.

On a 7.5-minute quadrangle map, the UTM (Universal Transverse Mercator) grid lines are typically spaced at intervals of 1 kilometer. These grid lines provide a coordinate system that allows for accurate location referencing on the map.
If the contour interval is not explicitly stated in the map margin, one can determine it by examining the elevation markings. By identifying two adjacent contour lines and noting the elevation difference between them, one can calculate the contour interval. For example, if the elevation difference between two consecutive contour lines is 20 meters, then the contour interval is 20 meters.
Contours on a map represent lines of constant elevation. On a steep slope, the contour lines will be closer together, indicating a rapid change in elevation over a short distance. This signifies a steep or rugged terrain. On the other hand, on a shallow slope, the contour lines will be spaced farther apart, indicating a gradual change in elevation over a longer distance. This suggests a gentle or gradual terrain with a less pronounced change in elevation. The spacing of contour lines provides visual cues about the steepness or shallowness of the terrain.

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Answer:

9.34

Step-by-step explanation:

add 6 then mulitiply 11-1 xC=9.34

Answer:

2 = x (by the symmetric property) and x = y, so y = 2 by the transitive property.

To determine the appropriate prefix multiplier for reporting a measurement of 5.57 × 10^(-5) m, we need to find a suitable metric prefix that would make the number easier to read and understand.

1. Convert the original measurement (5.57 × 10^(-5) m) to a more suitable metric unit.
2. Compare the metric prefixes and their corresponding multipliers to find the best fit.

In this case, the closest metric prefix for 10^(-5) is "micro" (symbol: µ), which has a multiplier of 10^(-6). To use this prefix, we need to convert the measurement to micrometers (µm).

3. Divide the original measurement by the multiplier of the chosen prefix: (5.57 × 10^(-5) m) / (10^(-6) µm/m) = 55.7 µm.

So, the appropriate prefix multiplier for reporting the measurement of 5.57 × 10^(-5) m is "micro," and the measurement can be reported as 55.7 µm.

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The dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 3 meters less than double the width, which can be expressed as 2x - 3.

The area of a rectangle is given by the formula: Area = Length × Width. In this case, the area is given as 14 m². Therefore, we can write the equation:

(x)(2x - 3) = 14

Expanding the equation:

2x² - 3x = 14

Rearranging the equation to standard form:

2x² - 3x - 14 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 2, b = -3, and c = -14. Plugging in these values into the quadratic formula:

x = (-(-3) ± √((-3)² - 4(2)(-14))) / (2(2))

x = (3 ± √(9 + 112)) / 4

x = (3 ± √121) / 4

x = (3 ± 11) / 4

Simplifying further:

x = (3 + 11) / 4 or x = (3 - 11) / 4

x = 14 / 4 or x = -8 / 4

x = 7/2 or x = -2

Since the width cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 7/2 meters.

Now, we can substitute the value of x into the expression for the length:

Length = 2x - 3

Length = 2(7/2) - 3

Length = 7 - 3

Length = 4 meters

Thus, the dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2) 33.3

4) 31.9

6) 11

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Answers are in corresponding pictures.

Answer:

A

Step-by-step explanation:

A circle has a circumference of 91.688 millimeters. The above statement indicates that the circle's radius is 14.6 millimeters.

The radius of a circle or other curvy geometric object pertains to its length. It is the boundaries across another two-dimensional circular surface measured linearly in one dimension. The length of something like a circle's contour is referred to as its circumference, while the length of a form with straight sides is referred to as its perimeter.

Circumference of a circle = 91.688 millimeters

π = 3.14

Radius = ?

Therefore, cicumference of a circle = 2 * π * r

91.688 = 2 * 3.14 * r

r = 91.688/6.28

r = 14.6 millimeters.

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