A car with a mass of 500 kg is accelerating at 10 m/s². What is the force being applied the car’s engine?

Answer:

cos 32° = 12/x

x = 14.15

Step-by-step explanation:

Answer:

t =5

Step-by-step explanation:

-7(2-t)=21

-14+7t=21

7t=35

t=5

The interval for the number of people who are likely to want the restaurant in their city is (70,453, 138,650).

To find the interval for the number of people who are likely to want the restaurant in their city, we need to calculate the range of values based on the given percentage range and the total population.

We have,

Percentage range: (32%, 63%)

Total population: 220,190 people

So, Lower bound = 0.32 x 220,190 = 70,452.8

and, Upper bound = 0.63 x 220,190 = 138,649.7

Therefore, the interval for the number of people who are likely to want the restaurant in their city is (70,453, 138,650).

Learn more about Lower and Upper bound here:

https://brainly.com/question/12625110

#SPJ1

Answer:

100 degrees

Step-by-step explanation:

50x=49x+2

x=2

49x+2=100

Answer:

100 degrees

Step-by-step explanation:

49x+2 and 50x are equal because if you use vertical angles, then opposite interior, then vertical angles again, you would see that they are congruent.

49x+2=50x

x=2

Plug it in:

50(2)=100 degrees

Answer:

4

Step-by-step explanation:

Answer:m= 0.2

Step-by-step explanation:

Add 0.5 to both sides

0.8m=0.16

now divide both by 0.8

m=0.2

Answer:

m=.7625

Step-by-step explanation:

.8m -.5 =.61

       +.5      +.5

.8m=.61

m =0.7625

Performance relative to the whole class refers to an individual's academic achievement in comparison to the rest of their peers in a particular subject or course.

We describe performance relative to the whole class.

To do this, we'll be using the terms "average", "percentile rank", and "standard deviation".
Average:

Calculate the average performance of the whole class by adding all students' scores and then dividing by the number of students.

This will give you a baseline to compare individual performances against the class average.
Percentile Rank:

Determine the percentile rank of a student by calculating the percentage of students in the class who scored lower than them.

For example, if a student is in the 75th percentile, it means they performed better than 75% of the class.
Standard Deviation:

Calculate the standard deviation, which measures the spread of scores within the class.

A low standard deviation indicates that most students have similar performances, while a high standard deviation shows more variability in scores.
By considering these three factors, you can effectively describe a student's performance relative to the whole class. For example, you might say: "John scored above the class average, placing him in the 80th percentile with a moderate standard deviation, indicating that his performance is better than the majority of his classmates."

For similar question on standard deviation.

https://brainly.com/question/28426562

#SPJ11

Complementary angles has sum of \(90^{o}\) and supplementary angles have sum of \(180^{o}\) , The answer is \(62^{o}\) and \(48^{o}\) .

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.

When two angles' measurements add up to 90 degrees, they are said to be complementary. When two angles' measures sum up to 180 degrees, they are said to be supplementary. Keeping in mind that the letter s follows the letter c in the alphabet and that 180 is greater than 90 can help you avoid conflating these definitions.

\(28^{o}\)

complement = \(90^{o}-28^{o}\) = \(62^{o}\)

\(132^{o}\)

supplement= \(180^{o}-132^{o}\) = \(48^{o}\)

To learn more about angles visit:

https://brainly.com/question/14569348

#SPJ1

Answer:

B

Step-by-step explanation:

Add both sides of the equation by 7, which satisfies the definition of the addition property of equality.

The slope of the line passing through (-2, 4) and (2, 6) is 1/2. The positive fraction indicates an upward direction with a 1/2 unit increase in y for every 1 unit increase in x.

To find the slope of the line passing through the points (-2, 4) and (2, 6), we can use the formula for slope:

slope (m) = (y₂ - y₁) / (x₂ - x₁)

Substituting the coordinates (-2, 4) and (2, 6) into the formula:

m = (6 - 4) / (2 - (-2))

 = 2 / 4

 = 1/2

Therefore, the slope of the line passing through (-2, 4) and (2, 6) is 1/2.

In this case, the slope is a positive fraction, indicating that the line has an upward direction as it moves from left to right. The value of 1/2 means that for every 1 unit increase in the x-coordinate, there is a 1/2 unit increase in the y-coordinate.

Note: The slope is defined for two distinct points. If the x-coordinates of the two points are the same (x₂ - x₁ = 0), then the slope would be undefined, as division by zero is not possible in mathematics.

To know more about slope of the line refer here :    

https://brainly.com/question/14511992#

#SPJ11                

Answer:

C.

yes; y = 1.8x

Step-by-step explanation:

Answer for the question :

Yes, Y varies directly with X, and the equation is :

Y = 1.8X

NOTE : For every value of X, when you multiply them with 1.8, you will get the corresponding Y.  

Y = 1.8 x X

5.4 = 1.8 x 3

12.6 = 1.8 x 7

21.6 = 1.8 x 12   (Q.E.D.)

That’s the answer, good luck in solving the question!

:-)

ideal all you ought to do is to divide the y via potential of x and u get the equation working occasion #a million y=32 / x=4 then u have y/x=32/4 ----> y=8x and do the comparable indoors something so #2 y=-20 & x=-20 so y/x=-20/-20 y=x etc

The linear equation is given as y = 1.8x, Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

The table is given below.

x         y

3      5.4

7      12.6

12     21.6

Then the linear equation is given as,

\(\rm (y - 5.4) = \left [\dfrac{5.4-12.6}{7-3} \right] (x-3)\)

Simplify the equation, then we have

y - 5.4 = 1.8(x - 3)

y - 5.4 = 1.8x - 5.4

y = 1.8x

The linear equation is given as y = 1.8x, Then the correct option is C.

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

#SPJ2

Answer:

$440

Step-by-step explanation:

4000×11% = 440

since on average 11% of overall income is spent on food

Answer: John is 12, Fred is 6.

Step-by-step explanation:

12/2=6

12-4=8

6-4=2

8/2=4

Answer:

John: 10

Fred: 5

Step-by-step explanation:

We can solve this like a system of equations.

Set Variables:

John: j

Fred: f

Given Info:

2f = j

j - 4 = 6(f - 4)

Use the distributive property, a(b+c) = ab+ac to simplify.

j - 4 = 6f - 24

Use info from the first equation and substitute.

j - 4 = 6f - 24

2f = j

6f = 3j

j - 4 = 3j - 24

Add 24 on both sides.

j - 4 + 24 = 3j - 24 + 24

j + 20 = 3j

Subtract j on both sides.

j - j + 20 = 3j - j

20 = 2j

Divide 2 on both sides.

\(\frac{20}{2} = \frac{2j}{2}\)

j = 10

Because j is twice f, divide 10 by 2 to get f.

10/2 = 5

Answer:

he value of the integral ∫ y tan(x) dx is y sin(x) + C.

Step-by-step explanation:

Property 8 of integrals states that if we have an integral of the form ∫ f(x) g'(x) dx, it can be rewritten as ∫ f(x) dg(x), where g(x) is an antiderivative of g'(x).

In this case, we have the integral ∫ y tan(x) dx. By applying Property 8, we can rewrite it as ∫ y d(sin(x)).

Now, integrating with respect to y while treating sin(x) as a constant, we get:

∫ y d(sin(x)) = y sin(x) + C,

where C is the constant of integration.

So, using Property 8, the value of the integral ∫ y tan(x) dx is y sin(x) + C.

Answer: The answer is 9-pack of toaster pastries for $7.56

Step-by-step explanation:

Basicly it would be more expensive if you bought 9 for the first option but less for the other.

Answer: b. 1923

Step-by-step explanation:

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

To Know more about alternative hypothesis:

brainly.com/question/25263462

#SPJ4

Answer:

The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.

Step-by-step explanation:

hope this helps you mark me brinilylist

Answer:

\( {x}^{2} + {y}^{2} + 12x - 8y + 4 = 0\)

Answer:

1:x+6  2:y-4   3:36

Step-by-step explanation:

just did it :)

Answer:

Step-by-step explanation:

range is biggest value minus smallest value: 36

median is the line in the middle of the box: 30

minimum value is the smallest number of the set: 6

maximum value is the biggest number of the set: 42

first quartile is the first line of the box plot: 27

third quartile is the third line of the box plot: 38

The particles contain 5.199 mol. The result is obtained by dividing the number of particles by the Avogadro number.

Avogadro number is the number of particles contained in 1 mol of any substance. It is 6.022 × 10²³ particles/mol.

The number of particles of a substance can be expressed as

N = n × NA

Where

The number of particles of a substance is 3.131 × 10²⁴ particles. Find the number of moles!

With the Avogadro number, the number of moles would be

N = n × NA

3.131 × 10²⁴ = n × 6.022 × 10²³

n = (3.131 × 10²⁴) / (6.022 × 10²³)

n = 0.5199 × 10¹

n = 5.199 mol

Hence, there are 5.199 mol contained in the particles.

The answer is A.

Learn more about moles and particles here:

brainly.com/question/28724678

#SPJ4

The  preservation/list school, led by naturalist John muir, wanted wilderness areas on some public lands to be left untouched.

A naturalist lifestyle is a term that connote that a person is making or developing values that makes or forms empathy and caring in regards to nature.

Therefore, The  preservation/list school, led by naturalist John muir, wanted wilderness areas on some public lands to be left untouched.

Learn  more about naturalist  from

https://brainly.com/question/9617746

#SPJ4

Answer:

c. 3  

yes you are right, good job!!

Step-by-step explanation:

18 divided by what equals 2?

18 / 2 = 9 so 18 / 9 = 2

so 27 / 9 = y which y = 3

check: 9 x 3 = 27

Answer:

Yes, C

Step-by-step explanation:

18/2 = 9 so you need to divide 27 by 9 to get 3

Answer:28.4

Step-by-step explanation:

The amount of change received is $28.4.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Regular price = $30

Selling price = (30 - 1/5 x 30) = 30 - 6 = $24

Coupon off = 1/10 x 24 = 2.4

The amount the shirt was bought.

= 30 - 6 - 2.4

= 30 - 8.4

= 21.6

The change was received.

= 50 - 21.6

= $28.4

Thus,

$28.4 is received as changed.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The denominator is (x+4)(x-4), indicating \($x\neq 4$\). Define a function f(x) as f(x) = |x-4|. The required limit is \($\displaystyle\lim_{x\to 4} \frac{|x-4|}{x^2 - 16}$\) . Since x is approaching 4, x-4 is positive for all sufficiently close to 4, and x-4 is negative for all sufficiently close to 4. Therefore, the limit of \($\displaystyle\lim_{x\to 4} \frac{|x-4|}{x^2 - 16}$\) does not exist.

Firstly, we observe that the denominator is (x+4)(x-4), that implies that \($x\neq 4$\).  Hence, let us define a function as f(x) = |x-4| where\($x\neq 4$\).

Therefore, the required limit is $\displaystyle\lim_{x\to 4}\frac{f(x)}{(x+4)(x-4)}$. Using the algebraic method, we get $\displaystyle\lim_{x\to 4}\frac{f(x)}{(x+4)(x-4)} = \lim_{x\to 4}\frac{|x-4|}{(x-4)(x+4)}$.Since x is approaching 4, it follows that x-4 is positive for all x sufficiently close to 4.

We obtain\($\displaystyle\lim_{x\to 4^{-}}\frac{|x-4|}{(x-4)(x+4)} = \lim_{x\to 4^{-}}\frac{x-4}{(x-4)(x+4)} = \lim_{x\to 4^{-}}\frac{1}{x+4} = \frac{1}{8}$\)

.Furthermore, x-4 is negative for all x sufficiently close to 4. We get \($\displaystyle\lim_{x\to 4^{+}}\frac{|x-4|}{(x-4)(x+4)} = \lim_{x\to 4^{+}}\frac{-(x-4)}{(x-4)(x+4)} = \lim_{x\to 4^{+}}\frac{-1}{x+4} = -\frac{1}{8}$.\)

Since the left-sided limit and right-sided limit are not equal, the limit does not exist.

Hence, the limit of\($\displaystyle\lim_{x\to 4} \frac{|x-4|}{x^2 - 16}$\) does not exist.

To know more about function Visit:

https://brainly.com/question/30721594

#SPJ11

Answer:

The answer is 4 units.

Step-by-step explanation:

The constraints and objective function can be formulated as follows for next week's production of connecting rods:

(a) x4 must be either 0 or 9,000 units when s4 is set to 1,

(b) x6 must be either 0 or 7,000 units when s6 is set to 1, (c) the third constraint is not specified, and (d) the objective function aims to minimize the cost of production.

(a) To limit the production of 4-cylinder connecting rods, we can write the following constraint:

x4 <= 9,000 * s4

This constraint ensures that if s4 is set to 1, x4 can take a value up to 9,000. Otherwise, if s4 is set to 0, x4 must be 0.

(b) Similarly, to limit the production of 6-cylinder connecting rods, we can write the constraint:

x6 <= 7,000 * s6

When s6 is set to 1, x6 can take a value up to 7,000. If s6 is 0, x6 must be 0.

(c) The third constraint is not explicitly mentioned and needs to be defined based on the problem requirements. It could involve a limit on the total production quantity or any other relevant condition that needs to be considered.

(d) The objective function for minimizing the cost of production can be written as:

Minimize Cost = c4 * x4 + c6 * x6

where c4 is the cost per unit of 4-cylinder connecting rods and c6 is the cost per unit of 6-cylinder connecting rods. The objective is to find the values of x4 and x6 that minimize the total cost of production for next week

Learn more about cylinder connecting rods here:

https://brainly.com/question/16987542

#SPJ11

Simple random sampling is least likely to guarantee that the sample will be representative and unbiased.

Simple random sampling is a technique that is used in research in which each member of the population is given an equal chance of being selected. It's the most straightforward and most basic technique for selecting a random sample. Sampling is a statistical method used to gather and analyze data from a subset of a population to provide estimates, hypotheses, or projections of the whole population. A sample is a subset of a population chosen to represent it since it would be difficult to collect data on the entire population. A sample is thus chosen using sampling techniques, which are statistical approaches for choosing representative samples that guarantee unbiased and precise results.

Biased sampling is a type of sampling method that can lead to misleading or erroneous conclusions. It happens when the sample that has been chosen is not representative of the population it is meant to represent. Biased sampling occurs when the selection method used to obtain the sample is flawed.

Learn more about Simple random sampling visit:

brainly.com/question/30403914

#SPJ11