Sixty students from a school attended the winter dance. If 40% of the students attended the dance, what is the total number of students at the school?

1000
666.67
100
150

Answer:

(x+4)

Step-by-step explanation:

Since area is width times length, you can just factor the area to get the width and length

You factor to get (x+4)(x+7)

Since (x+7) is the length, (x+4) must be the width

Answer:

(x + 4) m

Step-by-step explanation:

\(Area \: of \: rectangle = length \times width \\ \\ width = \frac{Area \: of \: rectangle}{length} \\ \\ = \frac{ {x}^{2} + 11x + 28 }{x + 7} \\ \\ = \frac{ {x}^{2} + 7x + 4x + 28}{x + 7} \\ \\ = \frac{ x({x} + 7) + 4(x + 7)}{x + 7} \\ \\ = \frac{ ({x} + 7) (x + 4)}{x + 7} \\ \\ = (x + 4) \: m \\ \\ \red{ \boxed{\bold {\therefore \: width \: = (x + 4) \: m}}} \)

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Answer:

x = 54

Step-by-step explanation:

43 + x - 7 = 90

36 + x = 90

x = 54

Answer:

160

Step-by-step explanation:

Give me brainliest PLz

I need it

Answer:5:7

Step-by-step explanation:

From the given graph it is clear that

The total number of circles = 12

The total number of patterned circles = 5

The total number of plain circles = 7

We need to find the ratio of patterned circles to plain circles.

Substitute patterned circles = 5 and plain circles = 7 in the above formula.

Therefore, the ratio of patterned circles to plain circles is 5:7.

The average rate of change of the function f(x) is 0.2 and the coordinates of the end of the interval are (9 , 4).

The average rate of change formula is used to find the slope of a graphed function.

For a function f(x) on the interval [a,b], average rate of change = \(\frac{f(b)-f(a)}{b-a}\)

Given:

Then, f(4) = √4 + 1 = 2 + 1 = 3

and f(9) = √9 + 1 = 3 + 1 = 4

Thus, the average rate of change of f(x) = \(\frac{f(9)-f(4)}{9-4} = \frac{4-3}{5} =\frac{1}{5}=0.2\)

Now, since f(4) = 3 and f(9) = 4,

The coordinates of the start of the interval are (4 , 3) and the end of the interval are (9 , 4).

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Answer:

Its (9,4)

Step-by-step explanation:

Its correct on edge 2022

Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

Answer:

A cube is a solid box whose every surface is a square of same area. ... So the volume of the box will be equal to the volume of 8 unit cubes together. ... The number of cubes are 12, its volume is 12 cu cm. 3. ... When we draw a flat shape on a paper, it occupies a certain ... It's unit is square centimeters or square meters etc.

Step-by-step explanation:

Asymptote indicates that as time increases, the number of bacteria approaches 0.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

Once an antibiotic is given, number of bacteria decreases at a rate of 15% /day.

There were about 15,000 bacteria prior to the treatment.

The line y = 0 is an asymptote of the graph.

The y-intercept is 15,000.

The y-intercept represents the number of bacteria when treatment began.

The asymptote indicates that as time increases, the number of bacteria approaches 0.

Hence, asymptote indicates that as time increases, the number of bacteria approaches 0.

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Answer:

d

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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The number of phases for this hybrid stepper motor must be 4.

To determine the number of phases for a hybrid stepper motor with a rotor pitch of 36º and a step angle of 9º, we need to consider the relationship between the rotor pitch and the step angle.

The rotor pitch is the angle between two consecutive rotor teeth or salient poles. In this case, the rotor pitch is 36º, meaning there are 10 rotor teeth since 360º (a full circle) divided by 36º equals 10.

The step angle, on the other hand, is the angle between two consecutive stator poles. For a hybrid stepper motor, the step angle is determined by the number of stator poles and the excitation sequence of the phases.

To find the number of phases, we divide the rotor pitch by the step angle. In this case, 36º divided by 9º equals 4.

Each phase of the stepper motor is energized sequentially to rotate the motor shaft by the step angle. By energizing the phases in a specific sequence, the motor can achieve precise positioning and rotation control.

It's worth noting that the number of phases in a hybrid stepper motor can vary depending on the specific design and application requirements. However, in this scenario, with a rotor pitch of 36º and a step angle of 9º, the number of phases is determined to be 4.

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Answer:

x=-9/13

Step-by-step explanation:

x+9=-12x

13x=-9

x=-9/13

please mark it as brainliast

x = - 9/13

Hi there !

x + 9 = - 12x

     →      ←

x + 12x = - 9

13x = - 9

x = - 9/13

Good luck !

Answer:

13 and one third

Step-by-step explanation:

16 x 36 x 25 = 14400  5 x 12 x 18 =1080 so the answer is 14400/1080 simplified 13.3

Answer:

Statistical inference

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Commission  =2.5% of 8000

\(=\frac{2.5}{100}*8000\\\\=2.5*80\)

= $ 200

Answer:

-11

Step-by-step explanation:

Answer: 5

Step-by-step explanation: -4×5=-20

This is not a function because the numbers show no pattern and are very inconsistent. You can see if there is a pattern after the second line; you can see if the third line follows the pattern from the 1st and 2nd line, which it does not in this case.

May I have brainliest please? :)

Answer:

Width = 9.5

Step-by-step explanation:

Step 1:

Length + Length + Width + Width = Perimeter

Step 2:

12.4 + 12.4 + w + w = 43.8

Step 3:

24.8 + 2w = 43.8

Step 4:

2w = 19

Answer:

Width = 9.5

Hope This Helps :)

Given:

Right triangle XYZ has right angle Z.

\(\sin(x)=\dfrac{12}{13}\)

To find:

The value of \(\cos x\).

Solution:

We know that,

\(\sin^2(x)+\cos^2(x)=1\)

\(\cos^2(x)=1-\sin^2(x)\)

\(\cos(x)=\pm\sqrt{1-\sin^2x}\)

For a triangle, all trigonometric ratios are positive. So,

\(\cos(x)=\sqrt{1-\sin^2x}\)

It is given that \(\sin(x)=\dfrac{12}{13}\). After substituting this value in the above equation, we get

\(\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}\)

\(\cos(x)=\sqrt{1-\dfrac{144}{169}}\)

\(\cos(x)=\sqrt{\dfrac{169-144}{169}}\)

\(\cos(x)=\sqrt{\dfrac{25}{169}}\)

On further simplification, we get

\(\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}\)

\(\cos(x)=\dfrac{5}{13}\)

Therefore, the required value is \(\cos(x)=\dfrac{5}{13}\).

\(-3(2x+2) < 10\\\\\implies -6x -6 < 10\\\\\implies -6x < 10 +6\\\\\implies -6x < 16 \\\\\implies x > -\dfrac{16}6\\\\\implies x > -\dfrac{8}3\)

The area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We know the area in the polar coordinates is given by:

\(\rm A =\int\limits^a_b {\dfrac{1}{2}r^2} \, d\theta\)

We have r = sin2θ

Here the quadrant is not given, so we are assuming we need to find the area in the first quadrant.

Put this value in the above integration and limit 0 to π/2

\(\rm A =\int\limits^{\dfrac{\pi}{2}}_0 {\dfrac{1}{2}(sin^22\theta)} \, d\theta\)

After solving the above integration, we get:

\(\rm A = \dfrac{\pi}{8}\)

Thus, the area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

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Answer: ask ma th way

Step-by-step explanation: it gives you the right answer

As per the given confidence interval, the value of P is lees than significant.

Confidence interval:

In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.

Given,

A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.

Here we need to find the assumptions of the given situation,

From the given question we have identified the following,

Reading of instruments = 353, 351, 351, and 355.

Confidence interval = 90% = 0.09

Number of units = 2.

Based on these details, the standard deviation of this temple is 0.7.

So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.

Therefore, P value was less than significant.

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Answer:

Yes

Step-by-step explanation:

This is rational because its in a pattern that is repeating

Answer:

A

Step-by-step explanation:

I'm not going to give an explanation but for next time, the stem is the tens place and the leaf is the ones place.

Answer:

y=2x-3

Step-by-step explanation:

y=mx+c

m=gradient=

5-(-5)/4-(-1)

=10/5

=2

c=y intercept=-3

y=2x-3

Answer:

y = 2x - 3

Step-by-step explanation:

(4, 5) and (0, -3)

m=(y2-y1)/(x2-x1)

m=(-3-5)/(0-4)

m=(-8)/(-4)

m=2

y - y1 = m(x - x1)

y - 5 = 2(x - 4)

y - 5 = 2x - 8

y = 2x - 3