What is the result when -7/8 is multiplied by -3.5

Answer:

Temperature at midnight is \(-15.9\) °F.

Step-by-step explanation:

Given: The temperature at noon was \(43.6\) °F. By midnight, the temperature has decreased by \(15.3\) degrees.

To find: The temperature at midnight.

Solution:

The temperature at noon was \(43.6\) °F.

Now, by midnight, temperature has decreased by \(15.3\) degrees.

So, first we need to convert the temperature in °F.

We know that, \(F=\frac{9}{5}C+32\), where F is temperature in Fahrenheit and C is temperature in Celsius.

So, \(F=(\frac{9}{5} \times 15.3)+32\)  

\(\implies F=59.5\)

So, by midnight, temperature has decreased \(59.5\) °F

Therefore, temperature at midnight is \(43.6-59.5=-15.9\) °F

Hence, temperature at midnight is  \(-15.9\) °F.

To solve the question

First, we will represent the unknown number by y

then we can represent the question mathematically as follow:

Solving the above

Next, to get y, we will cross multiply

Dividing both sides by 90

Therefore, the number is 30

Interpreting a correlation requires careful consideration of factors such as causation, confounding variables, nonlinearity, outliers, and sample characteristics.

Interpreting a correlation between two variables can be difficult for several reasons:

Causation vs. correlation: Correlation measures the strength and direction of the relationship between two variables but does not imply causation. Just because two variables are correlated does not mean that one variable causes the other. It is essential to avoid making causal claims based solely on correlation.

Confounding variables: Correlations can be influenced by the presence of confounding variables that affect both variables being studied. Without accounting for these confounding factors, it can be challenging to determine the true nature of the relationship between the variables of interest.

Nonlinear relationships: Correlation coefficients, such as Pearson's correlation coefficient, measure linear relationships between variables. If the relationship is nonlinear, the correlation may not accurately capture the association. It is crucial to consider other types of analysis or transformations to capture more complex relationships.

Outliers and influential observations: Extreme values or outliers in the data can have a significant impact on correlation coefficients. These outliers may distort the correlation and lead to incorrect interpretations. It is important to examine the data for influential observations that may unduly influence the correlation results.

Sample size and representativeness: The size and representativeness of the sample can affect the reliability and generalizability of correlation results. Small or biased samples may not provide a representative picture of the population, leading to misleading interpretations.

Overall, it is important to use correlations as part of a broader analysis and consider additional evidence before drawing definitive conclusions about the relationship between variables.

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Answer:

successful odds are a and c

The option fourth is the answer after rationalization of the difference quotient.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

\(\rm g(x) = \sqrt{x}\)

x > 0

Difference quotient:

\(= \rm \dfrac{f(x+h)-f(x)}{h}\)

f(x+h) = √(x+h)

\(= \rm \dfrac{\sqrt{x+h}-\sqrt{x}}{h}\)

\(= \rm \dfrac{\sqrt{x+h}-\sqrt{x}}{h}\times \dfrac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}\)

\(= \rm \dfrac{1}{\sqrt{x+h}+\sqrt{x}}\)

Thus, the option fourth is the answer after rationalization of the difference quotient.

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Variance of population is 15; option (B) 20.

To find the variance of a population, we need to use the formula:

Variance = (sum of the squared deviations from the mean) / (number of data values)

First, we need to calculate the squared deviation of each data value from the mean, u = 10. We can do this by subtracting the mean from each data value and then squaring the result:

(8 - 10)^2 = 4

(12 - 10)^2 = 4

(14 - 10)^2 = 16

(16 - 10)^2 = 36

Next, we add up the squared deviations:

4 + 4 + 16 + 36 = 60

Since there are 4 data values, we divide the sum by 4 to get the variance:

Variance = 60 / 4 = 15

Therefore, the variance of the population is 15. None of the choices given match this answer exactly, but (B) 20 is the closest approximation.

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Answer:

They are parallel but not the same

Step-by-step explanation:

because they have same slope or gradient which is 2

The equation of line that has a slope of 2 and passes through the point (-3,4) will be;

⇒ y = 2x + 10

Option B is true.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line = (-3, 4)

Slope of the line = 2

Since, The equation of line that has a slope of 2 and passes through the point (-3,4) will be;

⇒ y - y₁ = m (x - x₁)

⇒ y - 4 = 2 (x - (-3))

⇒ y - 4 = 2 (x + 3)

⇒ y - 4 = 2x + 6

Add 4 both side;

⇒ y - 4 + 4 = 2x + 6 + 4

⇒ y = 2x + 10

Thus, The equation of line that has a slope of 2 and passes through the point (-3,4) will be;

⇒ y = 2x + 10

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Answer

There is a 68 percent that a student selected a random will score an 80 or higher on the next test.

Explanation

You just need to find the percentage of 17 out of 25, or 17/25.

You can do this by dividing 17 by 25.

17/25 equals 0.68, or 68 percent.

Given that t: ℝ2 → ℝ2 rotates points (about the origin) through 5π/6 radians. In order to find the standard matrix of t, we need to follow these steps:

Step 1: Determine the coordinates of the image of the standard basis vectors under the transformation t.Step 2: Write the column vectors of the matrix formed by the image coordinates of the standard basis vectors. We know that the rotation matrix for rotating a point about the origin through an angle θ is given by: [cos(θ) -sin(θ)][sin(θ) cos(θ)]

Therefore, the standard matrix of t will be:```
[cos(5π/6) -sin(5π/6)]
[sin(5π/6) cos(5π/6)]
```So, the standard matrix of t is `[cos(5π/6) -sin(5π/6)][sin(5π/6) cos(5π/6)]`.

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Answer:

2x² + x + 3

Step-by-step explanation:

2x² + x + 3

2x² + (5/2)x + 3

Answer:

135.5 and 47.5

Step-by-step explanation:

135.5+47.5=183

135.5-47.5=88

Answer:

Step-by-step explanation:

The dimensions of a rectangular prism are length, width, and depth.

Volume = length * width * depth

Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.

How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.

V = y(3y2 + 16y + 5)

Then, factor what's left.

V = y(3y + 1)(y + 5)

The dimensions of the prism are y, (3y + 1), and (y + 5).

Answer:

The dimensions of a rectangular prism are length, width, and depth.

Volume = length * width * depth

Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.

How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.

V = y(3y2 + 16y + 5)

Then, factor what's left.

V = y(3y + 1)(y + 5)

The dimensions of the prism are y, (3y + 1), and (y + 5).

Step-by-step explanation:

it's this write ... comments plz have a nice day

1cm = 2m

=> 1cm = 200cm

2.5cm = 2.5 × 200cm = 500 cm = 5m

So, the length of window is 500cm or 5m.

The relationship between the points on the line and solutions to the linear equation is, the equation has a solution at each point along the line.

In the given question, we have to find the relationship between the points on the line and solutions to the linear equation.

The equation has a solution at each point along the line. This simply means that it is easy to tell whether an ordered pair is a solution to an equation. The ordered pair is a solution to the equation if it lies on the line drawn by the linear equation.

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Answer:

your screeen is blur i can't see the numbers

Answer:

Shift f(x) = 6' seven units to the left and five units down.

Step-by-step explanation:

Using implicit differentiation, it is found that the rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

The volume of a sphere of radius r is given by:

\(V = \frac{4\pi r^3}{3}\)

Applying implicit differentiation, the rate of change is of:

\(\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}\)

In this problem, we have that \(\frac{dr}{dt} = 0.5, r = 17\), thus:

\(\frac{dV}{dt} = 4\pi (17)^2(0.5) = 1815.84\)

The rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

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Answer: -0.5

Step-by-step explanation: screenshot

Answer:

-0.2

Step-by-step explanation:

So the Equation is -1.4=0.6y-1.1, so to get the variable by itself, you would need to add 1.1 to both sides. Leaving you with -0.3=0.6y. so divide each side by -0.3. Leaving you with -0.2 hope this helps :)

Answer:

AROUND $0.20 per mile

Step-by-step explanation:

605/3052 is around 0.198, which rounds to 0.20.

The number of visits Jaya can make to earn his first free movie ticket is 8

Total reward points received for signing up by Jaya = 85 rewards point

Total reward points received for each visit to the theatre by Jaya = 8.5 rewards point

Total reward points needed to Jaya for getting a free movie ticket = 153 rewards point

Let x represents the number of visits to the movie theatre

According to the question,

We can write it as:

85 + 8.5x  ≥  153  ------(i)

Now subtract 85 from both the side of equations,

We will get it as follows:

85 + 8.5x - 85 ≥ 153 - 85

8.5x ≥ 68

Further solving we will get it as:

x ≥ (68/8.5)  ≥ 8

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Answer:

36.3

Step-by-step explanation:

I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.

\(a^2 + b^2 = c^2\)

\(a^2 + (40)^2 = (54)^2\)

\(a^2 + 1600 = 2916\)

\(a^2 = 2916-1600 = 1316\)

\(a = \sqrt{1316}\)

\(a = 36.27671429\)

When this is rounded up to the nearest tenth, it would go up to 36.3.

So, the length (tallness) of the TV would be 36.3 inches.

Answer:

12.57cm

Step-by-step explanation:

Formula : Pi×r²

pi×2²=4pi=12.56637061

rounded : 12.57cm

Answer:

9

Step-by-step explanation:

just did the assignment

Answer:

triangle abc = acb

Step-by-step explanation:

ist right answer of this test

Answer:

triangle 1st one ABC=abc

A 55-gallon fish tank is a rectangular aquarium that measures approximately 48 inches in length, 13 inches in width, and 21 inches in height

A 55 gallon fish tank is a rectangular aquarium that holds approximately 55 US gallons (or 208 liters) of water. It typically measures 48 inches (122 cm) in length, 13 inches (33 cm) in width, and 21 inches (53 cm) in height.

The actual dimensions of a 55 gallon fish tank may vary slightly depending on the manufacturer. However, most tanks of this size have a similar shape and capacity.

Therefore, A 55-gallon fish tank is a rectangular aquarium with dimensions 45 inches × 13inches × 21 inches

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Answer:

6.557

Step-by-step explanation:

Answer:

6.557

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

I don not understand this question

I do not know the meaning of:

Phân tích đa thức thành nhân tử

Step-by-step explanation:

Sorry. I cannot help you.