What is the correct evaluation of 15-x, when x is equal to -5?

Answer:

I think it's D

Step-by-step explanation:

Answer:

There is likely an association because 0.8 is not similar to ≈ 0.33.

Eliminate parentheses using the distributive property.

... 5x = 10x -10x +15

Collect terms, then divide by the coefficient of x.

... 5x = 15

... x = 3

Answer:

2x – 1 = x + 8

Step-by-step explanation:

The slope of a line perpendicular to a line with a slope of 3 is -1/3. This is because perpendicular lines have negative reciprocal slopes.

In mathematics, when two lines are perpendicular, their slopes are negative reciprocals of each other because the product of their slopes equals to -1. This means that if one line has a slope of 3, the slope of the other line would be the negative reciprocal of 3, which is -1/3. So, the slope of the other line is -1/3.

To understand this further, let's delve into the figure of Slope and the Algebra of Straight Lines. Here, 'm' represents the slope which is the rise over the run and 'b' is the y-intercept, which is the point at which the line crosses the y-axis. Considering the fact that the slope of the line is 3, there is an increase of 3 in the y-coordinate (or vertical axis) for every increase of 1 in the x-coordinate (or horizontal axis).

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Answer:  The correct option is (C) 28.2 oz.

Step-by-step explanation:  Given that a recipe calls for 0.800 kg of flour.

We are to find the number of ounces of flour that the recipe needs.

Given that

1 lb=16 oz  and  1 lb = 0.454 kg

We will be using the UNITARY method for solving the given problem.

We have

0.454 kg = 1 lb

So, 1 kg will be equal to [tex]\dfrac{1}{0.454}~\textup{lb}.[/tex]

Therefore, 0.8000 kg is equal to

[tex]\dfrac{1}{0.454}\times 0.800=1.762~\textup{lb}.[/tex]

Now, 1 lb = 16 oz.

So, 1.762 lb = 16 × 1.762 = 28.19 = 28.2 oz.

Thus, the recipe needs 28.2 oz of flour.

Option (C) is CORRECT.

Answer:

the answer is x = 9 cm

Step-by-step explanation:

Let the number of water pumps be n and the time taken to fill the pool is t.

Now, we can see that higher the number of water pumps, lesser the time to fill the pool.

It means quantities  vary indirectly.

Thus, [tex]n=\frac{k}{t} , \text{ where k is the constant of variation}[/tex]

Now, we have been given that It takes four identical water pumps 6 hours to fill a pool.

Thus, we have

[tex]4=\frac{k}{6} \\ \\ k=24[/tex]

Hence, constant of variation is 24.

Now, we have to find the time that  three pumps will take to fill the same pool.

[tex]3=\frac{24}{t} \\ \\ 3y=24\\ \\ y=\frac{24}{3} \\ \\ y=8[/tex]

Hence, it will take 8 hours to fill the pool by three identical pumps.

Final answer:

The volume of a cube with each edge measuring 7 cm is calculated using the formula V = s^3, which results in a volume of 343 cubic centimeters (cm3).

Explanation:

To find the volume of a cube that is 7 cm on each edge, we use the formula for the volume of a cube, which is V = s3, where s is the length of one side of the cube. In this case, s is 7 cm. Therefore, the volume can be calculated as follows:

V = 7 cm imes 7 cm imes 7 cm = 343 cm3

So the volume of the cube is 343 cubic centimeters (cm3).

Answer:

Sum of the sequence = 132.

Step-by-step explanation:

The given sequence is 153, 139, 125,.......n terms.

Sum of the arithmetic sequence will be

S = n/2[2a + (n -1)d]

where n = number of terms

a = first term of the sequence

d = common difference

for the given sequence

a = 153

n = 22

d = 139 - 153 = -14

Therefore sum of 22 terms of the sequence will be

S = (22/2)[2×153 - (22-1)14]

= 11×[306 - 21×14]

= 11×[306 - 294] = 11×12 = 132

Sum of 22 terms of this sequence is 132.

The mean of the quiz scores is given by the equation M = 86 %

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the quizzes be represented as M

Now , the equation will be

Let the number of quizzes be n = 5

Let the scores of each quizzes be represented by set A

Set A = { 95% , 95%, 80%, 85%, 75% }

So , the mean of the quizzes M = sum of the quizzes / number of quizzes

Substituting the values in the equation , we get

The mean of the quizzes M = ( 95% + 95% + 80% + 85% + 75% ) / 5

The mean of the quizzes M = ( 430/5 )

The mean of the quizzes M = 86 %

Therefore , the value of M is 86 %

Hence , the mean of the quizzes is 86 %

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This is a Physics problem involving Hooke's Law and Newton's second law of motion. The acceleration of a 25kg block when a spring it's resting on is extended by 0.4m is determined. The calculated acceleration is -3.2m/s², indicating the direction is opposite to the direction of displacement.

The subject matter of this question is physics, specifically the area of mechanics dealing with forces, mass, and acceleration (Newton's Laws). The stiffness of a spring is given as k=200N/m and it is unstretched when the 25 kg block is resting on it. We're tasked with finding the acceleration of the block when the spring is extended by s=0.4m.

Firstly, let's find the force on the block using Hooke's Law which states that the force exerted by a spring is equal to the spring constant times the displacement (F=-kx). So, F=-200N/m*(0.4m)=-80N. The negative sign just indicates that the force is in the opposite direction of the displacement.

Secondly, we apply Newton's second law of motion (F=ma), where m is the mass and a is the acceleration. Rearranging the equation to find acceleration gives us a=F/m. Substituting our values gives a=-80N/25kg = -3.2m/s². The negative sign here indicates the direction of the acceleration, opposite to the direction of displacement. So, the acceleration of the block when the spring is extended by 0.4m is -3.2m/s².

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We know that the central angle is an angle subtended at the center of the circle by any two points on the circle.

In the given figure of the circle, the center of the circle is C. Hence, the central angle must be subtended at the center C.

Since, angle FEB is not subtended at the center of the circle.

Hence, angle FEB is not a central angle.

Therefore, the given statement is FALSE.

To eliminate the parameter and find the cartesian equation of the curve x=3sin(t), y=4cos(t), we can use trigonometric identities. The cartesian equation of the curve is (x/3)^2 + (y/4)^2 = 1.

To eliminate the parameter and find the cartesian equation of the curve x=3sin(t), y=4cos(t), we can use trigonometric identities. Starting with the given equations:

x = 3sin(t)

y = 4cos(t)

We can rewrite the equation for x as:

x/3 = sin(t)

And the equation for y as:

y/4 = cos(t)

Using the identities sin2(t) + cos2(t) = 1, we can square both equations and add them together:

(x/3)2 + (y/4)2 = (sin2(t) + cos2(t)) = 1

This is the cartesian equation of the curve.

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