PLZ HALP!!!!




You earned $96 babysitting for 12 hours last weekend. Write and solve a proportion to find how much you earned per hour?

The period of the function f(x) = cos(2.22x+0.19) is 2.8323 and the period of the function f(x) = sin(1.05x)  is 5.9834

The period of a trigonometric function, we use the formula:
Period = 2π/|B|
where B is the coefficient of x in the function.

For the first function, f(x) = cos(2.22x+0.19), the coefficient of x is 2.22. Therefore, the period is:
Period = 2π/|2.22| ≈ 2.8323

For the second function, f(x) = sin(1.05x), the coefficient of x is 1.05. Therefore, the period is:
Period = 2π/|1.05| ≈ 5.9834

So, the period of the first function is 2.83 and the period of the second function is 5.98. Both answers are rounded to four decimal places.

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The given vector field is: F(x, y, z) = xi + yj + zk, the answer is 3.

The surface of the cube can be represented as: S = {x, y, z | x ∈ [0, 1], y ∈ [0, 1], z ∈ [0, 1]}

According to the Divergence theorem, we can write: ∫∫S F. n dS = ∫∫∫V (div F) dV

Now, we need to evaluate the divergence of the given vector field, F(x, y, z).

Let's evaluate the divergence of F: div F = (∂Fₓ/∂x) + (∂Fᵧ/∂y) + (∂Fₓ/∂z) = 1 + 1 + 1 = 3

Now, we have: ∫∫S F. n dS = ∫∫∫V (div F) dV= ∫∫∫V 3 dV= 3V

Where, V is the volume of the cube.

So, V = (1 - 0)(1 - 0)(1 - 0) = 1∴ ∫∫S F. n dS = 3V = 3 x 1 = 3

So the answer is: 3

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Answer:

-0.0936538462

Step-by-step explanation:

Start by solving the right side of the equation

1 - 2.87 = -1.87

now we have:

3 + 5.2c = -1.87

subtract 3 from both sides to get:

5.2c = -4.87

divide both sides by 5.2 to get:

-0.0936538462

hope that's what you're looking for! :)

Answer:

D.

Step-by-step explanation:

D is the correct answer

The answer is D. there is exactly one solution at (3, 1)

The formula that expresses y in terms of x is y = 2x - 2.

If x and y are related by a constant rate of change, we can express their relationship using the formula for a linear function. A linear function has the form:

y = mx + b

where m is the slope (rate of change) and b is the y-intercept.

In this case, we are given that Δy/Δx = 2, which represents the slope of the line. We also know that when x = 3, y = 4.

Using the point-slope form of a linear equation, we can substitute the values into the equation:

y - y1 = m(x - x1)

where (x1, y1) is the given point (3, 4).

Substituting the values, we have:

y - 4 = 2(x - 3)

Now, let's simplify the equation:

y - 4 = 2x - 6

To express y in terms of x, we isolate y by adding 4 to both sides of the equation:

y = 2x - 2

Therefore, the formula that expresses y in terms of x is:

y = 2x - 2

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The attached picture is a summary of all the six transformations you'd do.

Any change outside the f(x) notation impacts y-values of points on the graph.

Any changes inside the f(x) notation impacts x-values of points on the graph.

The trick is that the inside changes are usually the opposite of what you'd expect to have happen.

7. y=f(x)+8

This is an outside change.  You're adding 8 to all the y-values of points on the graph.  This will shift your entire graph up 8 units.

8. y=f(x+6)

This is an inside change.  Because it says "+6", you want to think, "Ah!  That means I'll actually subtract 6 from the x-value of every point on the graph." This graph is shifted 6 units to the left.

9. y=-f(x)

Inside change, impacts y-values.  Every y-value will be given the opposite signs.  Negatives become positive and positives become negative.  This will flip your graph over the x-axis.

10. y = f(-x) + 5

Give this one a shot on your own first in a comment and I'll let you know how you did.  

11. y = - 3 f(x-3)

There are three things happening.  A negative on the outside, multiplying by 3 on the outside, and subtracting 3 inside.  What will each of those do individually?  Take a shot on this one and let me know what you think.

12. y = 1/2 f( 1/2 x )

Again, three changes.  Try this one and let me know what you think.  Remember multiplying by 1/2 inside really means you'll do the opposite of multiplying by 1/2.

Answer:

I believe thats Sam Houston

Answer:

Samuel Houston

Step-by-step explanation:

Answer:

P(3 , 0)

Step-by-step explanation:

(x₁, y₁) = A(-3,-3)    ;(x₂ , y₂) B(5, 1)

m : n = 3 : 1

\(P \left( \dfrac{mx_{2}+nx_1}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\P \left (\dfrac{5*3+(-3)*1}{3+1},\dfrac{3*1+1*(-3)}{3+1} \right)\\\\\\=P \left(\dfrac{15-3}{4},\dfrac{3-3}{4} \right)\\\\\\= P \left(\dfrac{12}{4},\dfrac{0}{4} \right)\\\\\\= P\left(3 , 0 \right)\)

Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .

When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :

⇒ r × s = k, where k is a constant ;

the value of variable "r" = 7 when s = 6,

First , we have to find the value of k:

⇒ k = r × s = 7 × 6 = 42 ;

So, for any value of r and s, the product "rs" will always be equal to 42.

When r = 10, we can use the equation to find s:

⇒ s = k/r = 42/10 = 4.2

Therefore , when r = 10 , the variable "s" is 4.2.

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The random variable in this scenario is "The number of red cards."

Out of the options given, the random variable is the one that represents a quantity that can vary based on the outcome of the experiment. In this case, selecting two cards from a deck of 52, the random variable is "The number of red cards."

The other options are not random variables in this context. The color arrangement of the two cards is not a variable since it can only have two possibilities (either both cards are red or one is red and the other is black). The color of one card is not a variable either since it would have a fixed value once a card is selected. The number of cards selected is also not a random variable because it is a known quantity (two cards are being selected).

Therefore, the random variable in this scenario is "The number of red cards" since it can vary between 0 and 2 depending on the outcome of the card selection.

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It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Answer:

See below

Step-by-step explanation:

a) Here,

Mode = 2

2 occurs 7 times. (frequency = 7)

b) Here,

Mode = 1 (occurring 8 times)

c) Here,

Mode = 10 (occurring 9 times)

d) Here,

Mode = 20 (occurring 5 times)

e) Here,

Mode = 3 (occurring 6 times)

f) Here,

Mode = 15 (occurring 5 times)

\(\rule[225]{225}{2}\)

Answer:

ML/OP=MK/PN since sides of similar traingle are proportional

17/60=35/PN

PN=35×60/17=123.529=123.6 or 124

The measure of the side PN is 123.5.

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles

Given that triangle KLM is similar to triangle NOP.

If two triangles are similar, then their corresponding sides will be proportional.

From the figure,

Corresponding side of LM is PO.

Corresponding side of MK is NP.

Corresponding side of LK is ON.

So LM / PO = MK / NP = LK / ON

17 / 60 = 35 / PN = LK / ON

We need the length of PN.

17 / 60 = 35 / PN

17 × PN = 60 × 35

PN = (60 × 35) / 17

PN = 123.5

Hence the measure of the side of the triangle is PN = 123.5.

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Answer:

Y intercept is -5

Step-by-step explanation:

It is negative five because it goes through the y axis at -5

A mean is an arithmetic average of a set of observations. The mean number of visits the students made to the library in the last month is 2.32 visits.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

For the given frequency table, the sum of the mean and the total number of values can be written as,

Sum = (0×284) + (1×218) + (2×76) + (3×64) + (4×42) + (5×320) = 2330

Total number of values = 284 + 218 + 76 + 64 + 42 + 320 = 1004

The mean for the table can be written as,

Mean = sum/ Total number of values = 2330/1004 = 2.32

Hence, the mean number of visits the students made to the library in the last month is 2.32 visits.

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Answer:

Step-by-step explanation:

let hundreth digit=x

tenths digit=x+2

ones digit=2x

x+x+2+2x=10

4x=10-2=8

x=8/4=2

tenth digit=2+2=4

ones digit=2×2=4

so number =4.42

so number =4.4

When a figure is dilated by a scale factor of 2, it means that all corresponding sides of the original figure are multiplied by 2 to obtain the corresponding sides of the dilated figure. The measure of side H'I' is twice the measure of side HI.

When a figure is dilated by a scale factor of 2, it means that all corresponding sides of the original figure are multiplied by 2 to obtain the corresponding sides of the dilated figure. In this case, side H'I' corresponds to side HI.

If the measure of side HI is x units, then the measure of side H'I' will be 2 times x, which is 2x units. Therefore, the measure of side H'I' is twice the measure of side HI.

By applying the scale factor of 2, the length of side H'I' is doubled compared to the length of side HI. This is a general property of dilations with a scale factor greater than 1, where corresponding sides are proportional and the lengths of corresponding sides are multiplied by the scale factor.

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5x+9=2x+7+3x-15

0=17

7x+5x-7=21+10x

2x=28

x=14

24-3x=8+2x+16-x

-4x=0

~

answer:c

Answer:

c = 30°

d = 60°

Step-by-step explanation:

Angle ZWC is a 90° angle

Angle YWX is a 60° angle

add them together and you get 150°

180 - 150 = c = 30°

c + d + 90° = 180°

substitute

30° + d + 90° = 180°

combine like terms

120° + d = 180°

subtract 120° from both sides

d = 60°

hope this helps!!

Answer:

c is 30 and d is 60

Step-by-step explanation:

I did it for hw

The five-number summary of the given data is,

1) Minimum: 0.02

2) Q₁: 0.075

3) Median (Q2): 0.11

4) Q₃: 0.13

6) Maximum: 0.23

First, let's sort the data in ascending order

0.02, 0.07, 0.08, 0.10, 0.12, 0.12, 0.14, 0.23

The minimum value is the smallest number in the data set, which is 0.02.

The maximum value is the largest number in the data set, which is 0.23.

To find the median (Q₂), we take the middle value of the data set. Since there are an even number of values, we take the average of the two middle values

Median (Q₂) = (0.10 + 0.12) / 2 = 0.11

To find the first quartile (Q₁), we need to find the median of the lower half of the data set. The lower half of the data set consists of the first four values

0.02, 0.07, 0.08, 0.10

Q₁ = (0.07 + 0.08) / 2 = 0.075

To find the third quartile (Q₃), we need to find the median of the upper half of the data set. The upper half of the data set consists of the last four values

0.12, 0.12, 0.14, 0.23

Q₃ = (0.12 + 0.14) / 2 = 0.13

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The given question is incomplete, the complete question is:

Blood alcohol content of driver's given breathalyzer test: .02 .07 .08 .10 .12 .12 .14 .23 . Compute the five number summary of this data

Answer:

110 degrees

Step-by-step explanation:

Short Method: Add 95 and 15 to get the outside angle

Longer Method: Since its 110 degrees inside the triangle you subtract 180-110 to get 70 degrees which is the angle for inside the triangle, and since every straight line is 180 degrees you subtract 70 from 180 to get 110 on the outside.

Answer:

20

Step-by-step explanation:

2*10

= 20

PLS GIVE BRAINLIEST

Answer:

P=7

Step-by-step explanation:

7-3=4

4/2=2

therefore,

p=7

Answer:

you got it keep 4-6

Step-by-step explanation:

The maximum area the rectangle can have, is 2.31 square unit.

In the given question, a rectangle has its base on the x axis and its upper two vertices on the parabola 16 - \(x^2\).

We have to find the maximum area the rectangle can have.

Let Length is x and width is y.

So, Area of Rectangle = length × breadth

Area of Rectangle = xy

Since, base is on the x - axis, therefore, length will be 2x.

Now, Area of Rectangle = 2xy

The given parabola y = 16 - \(x^2\)

Area of Rectangle = 2x(16 - \(x^2\))

Area of Rectangle = 32x - 2\(x^3\)

For Largest Area find derivative of Area and set equal to zero.

A'(x) = 32 - 6\(x^2\)

Now equating equal to zero

32 - 6\(x^2\) = 0

Subtract 32 on both side, we get

- 6\(x^2\) = - 32

Divide by -6 on both side, we get

\(x^2\) = 5.33

Taking square root on both side, we get

x = 2.31

Hence, the maximum area the rectangle can have, is 2.31 square unit.

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We can say with 90% confidence that the increase in proportion of people satisfied with their financial situation is between 1.05% and 6.71%.

To calculate the confidence interval for the increase in proportion of people satisfied with their financial situation, we need to first calculate the proportions for both years:

Proportion in year 1 = 478/2038 = 0.2342
Proportion in year 2 = 537/1967 = 0.2730

The increase in proportion is:
0.2730 - 0.2342 = 0.0388

To calculate the confidence interval, we can use the formula:
CI = (point estimate ± (critical value x standard error))

The point estimate is the increase in proportion we just calculated: 0.0388

The critical value can be found using a z-table for a 90% confidence level. The z-value for a 90% confidence level is 1.645.

The standard error can be calculated using the formula:
sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)]

where p1 and n1 are the proportion and sample size for year 1, and p2 and n2 are the proportion and sample size for year 2.

Plugging in the values, we get:
SE = sqrt[(0.2342(1-0.2342)/2038) + (0.2730(1-0.2730)/1967)] = 0.0174

Now we can plug in all the values to get the confidence interval:
CI = (0.0388 ± (1.645 x 0.0174)) = (0.0105, 0.0671)

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So, the true proportion of residents in the region that have an income that is less than 100 thousand dollars is greater than 90%.

The null hypothesis in this case is that the true proportion of residents in the region that have an income that is less than 100 thousand dollars is equal to or less than 90%. This can be written as:

H₀: p <= 0.9

where p is the true proportion of residents in the region that have an income that is less than 100 thousand dollars.

The alternative hypothesis is that the true proportion of residents in the region that have an income that is less than 100 thousand dollars is greater than 90%. This can be written as:

Ha: p > 0.9

To test this hypothesis, the official will need to calculate the test statistic and determine the p-value. If the p-value is less than the significance level (in this case, 5%), then the null hypothesis can be rejected in favor of the alternative hypothesis.

So, the true proportion of residents in the region that have an income that is less than 100 thousand dollars is greater than 90%.

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The differential equations that could be used to model this situation with respect to time t, where k is a positive constant is db/dt= kp(N-p)

A differential equation is a mathematical equation that contains one or more terms and the derivatives of one variable (the dependent variable) with respect to another variable.

A differential equation is an equation that connects one or more unknown functions and their derivatives. In most applications, functions represent physical quantities, derivatives represent their rates of change, and differential equations define a relationship between the two.

This was illustrated regarding the change with respect to the number of people.

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