Yesterday, Tamara's older sister earned $90 during an 8 h shift.
a) How much did she earn each hour?
b) How much will she earn in a 40 h week?​

Answer: Hii <3

11/10 is your answer i believe

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

hopefully this helps you !

- Matthew ~

Answer:

The value of x = 11/10 or 1.1

Step-by-step explanation:

5x+3/-2 =4

=> 5x -3/2 = 4

=> 5x = 4 + 3/2

=> 5x = (8+3)/2

=> 5x = 11/2

=> x = 11/10 or 1.1

Answer:

\(y = x^{2} + 3x + 1\)

Step-by-step explanation:

Perimeter equals the sum of the lengths of the sides.

Let y = the length of the fourth side

\(4x^{2} + 3x - 4 = x^{2} + 2x + 15 + x^{2} -x - 10 + x^{2} - x - 10 + y\)

\(4x^{2} + 3x - 4 = 3x^{2} - 5 + y\)

\(x^{2} + 3x + 1 = y\)

0.25x^2 - 0.16y^4

Both terms are perfect squares so use the difference of squares formula

A^2 - b^2 = (a+b)(a-b) where a = 5x and b = 4y^2

Answer is 0.01(5x + 4y^2)(5x-4y^2)

Answer:

Solution given:

0.25x^2 - 0.16y^4

[0.5x]²-[0.4y²]²

[Note: Using formula: x²-y²=(x+y)(x-y)]

(0.5x+0.4y²)(0.5x-0.4y²) is a required answer.

Answer:

\(x=3\)

Step-by-step explanation:

Because this line is parallel to the y-axis, it is a vertical line. This is a special case where the formatting of its equation is different:

\(x=d\) where d is the x-intercept, or the value of x when the line crosses the x-axis

We're given that the line passes through the point (3,-5). Because this is a vertical line, the x-coordinates of the points it passes through will always stay the same. Therefore, the x-intercept (d) is 3.

\(x=3\)

I hope this helps!

Answer:

675 minutes

Step-by-step explanation:

1/4 of an hour is 15 minutes

60 x 11 = 660

660 + 15 = 675

The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

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Answer:

18

Step-by-step explanation:

3x + 28 = 46

Subtract 28 from each side

3x + 28 = 46

3x+28-28 = 46-28

3x=18

Divide each side by 3

3x/3 = 18/3

x = 6

Find 2x+6

2(6)+6

12+6

18

Hey there!

3x + 28 = 46

SUBTRACT 28 to BOTH SIDES

3x + 28 - 28 = 46 - 28

CANCEL out d 28 - 28 because it give you 0

KEEPs 46 - 28 because it help solve for the x-value.

NEW EQUATION: 3x = 46 - 28

SIMPLIFY IT!

3x = 18

DIVIDE 3 to BOTH SIDES

3x/3 = 18/3

CANCEL out: 3/3 because it give you 1

KEEP: 18/3 because it give you the x-value.

NEW EQUATION: x = 18/3

SIMPLIFY IT!

x = 6

Now that we have your x-value we can substitute it into the equation of: 2x + 6

SIMPLIFYING:

2x + 6

= 2(6) + 6

= 12 + 6

= 18

Thus, your answer is: 18

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The nature and scope of the conclusion that a study can reach refers to the limitations and generalizability of the results obtained.

It depends on the research design, methodology, and sample size used. The conclusion can only be applied to the specific population and conditions studied.

The study may also have limitations due to biases or confounding variables that can affect the validity of the conclusion. To have a stronger conclusion, it is important to have a well-designed study with a large and representative sample, and to control for extraneous variables.

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Answer:

9

Step-by-step explanation:

A ratio is a direct variation of a some objects to other objects.

The parts of a ratio is called a partition. The partition adds up to the full amount of objects.

There is a total of 10 white objects so there must be 22 black objects.

Since the ratio of black circles to black squares is 3:8.

And there is a total of 11 objects, we just multiply the ratio by 2.So this means ther 6 total of black circle circles. So we have a total of

9 circles.

Answer:

y= 30 x=15

set up your proportions for example 9/6 to y/20 and 9/6 to x/10 and then cross multiply

Step-by-step explanation:

the order in which you asked the question is correct

Answer: 4.01, 4.1, 40.1, 41

Step-by-step explanation:

this is the required ans

4(x-5)=92

X+100=128

3x=84

2x=56

soory I don't know the answer

Algebra

For example, (x)(x)=x^2

Add the exponents of the variable to get the correct answer.

(k^3)(k^5)=k^8

Answer and Step-by-step explanation:

When two values have the same base, have exponents, and are being multiplied to each other, then we add together the exponents.

So, we are given k to the power of 3, which is multiplied by k to the power of 5. The powers (exponents) are added together to make 8, and the bases combine to be only one of the bases, being k.

So, we are left with the answer being \(k^8\).

I hope this helps!

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Answer: We have to find the sin(theta) provided the cos(theta) function, the visualization of the problem is as follows:

The diagram visualization is:

Therefore the x is:

Therefore the answer is:

The answer is Option(C).

Answer:

Please check the explanation.

Step-by-step explanation:

Given

ABC ↔ RQP

It means

Please check the attached diagram.

Here,

Parts of ΔABC that correspond to

(i) PQ

From the diagram, it is clear that:

PQ corresponds to CB

(ii) ∠Q

∠Q corresponds to ∠B

(iii) RP

RP corresponds to AC

Zoe walks from her house to a bus stop that is 460 yards away. The varying distances would depend on where Zoe begins her walk. if she starts closer to the bus stop, she would walk a shorter distance.

The varying distances would refer to the different distances Zoe might walk on different occasions. For example, she might take different routes or make detours, causing the actual distance she walks to vary.

However, without more information about Zoe's specific routes or circumstances, it is not possible to provide more detailed information about the varying distances.

However, if she starts closer to the bus stop, she would walk a shorter distance.

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The put option should be worth $8.11 The current stock price of khhnon 8 - solvnson ப6) is $178 Instantaneous rate of return is 6% Instantaneous standard deviation of J.

J's stock is 30%Strike price is $171 Expiration date is 60 days from now The formula for the put option using the Black-Scholes model is given by: C = S.N(d1) - Ke^(-rT).N(d2)

Here,C = price of the put option

S = price of the stock

N(d1) = cumulative probability function of d1

N(d2) = cumulative probability function of d2

K = strike price

T = time to expiration (in years)

t = time to expiration (in days)/365

r = risk-free interest rate

For the given data, S = 178

K = 171

r = 6% or 0.06

T = 60/365

= 0.1644

t = 60N(d2)

= 0.63687

Using Black-Scholes, the price of the put option can be calculated as: C = 178.N(d1) - 171.e^(-0.06 * 0.1644).N(0.63687) The value of d1 can be calculated as:d1 = [ln(S/K) + (r + σ²/2).T]/σ.

√Td1 = [ln(178/171) + (0.06 + 0.30²/2) * 0.1644]/(0.30.√0.1644)d1

= 0.21577

The cumulative probability function of d1, N(d1) = 0.58707 Therefore, C = 178 * 0.58707 - 171 * e^(-0.06 * 0.1644) * 0.63687C = 104.13546 - 96.02259C

= $8.11

Therefore, the put option should be worth $8.11.

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Therefore, the dot product f⋅g on the interval [0,1] for the functions f(x) = x and g(x) = x^2 is equal to 1/4.

To find the dot product f⋅g on the interval [0,1] for the functions f(x) = x and g(x) = x^2, we need to evaluate the integral of their product over that interval.

The dot product of two functions is defined as:

f⋅g = ∫(f(x) * g(x)) dx

Substituting f(x) = x and g(x) = x^2 into the formula, we have:

f⋅g = ∫(x * x^2) dx

= ∫(x^3) dx

Now we integrate x^3 with respect to x:

f⋅g = (1/4) * x^4 + C

To evaluate the dot product over the interval [0,1], we subtract the value of the antiderivative at the lower limit from the value at the upper limit:

f⋅g = (1/4) * (1^4) + C - (1/4) * (0^4) + C

= 1/4

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Answer:

C) 3x=54

Step-by-step explanation:

Angle ABD is a straight angle, which means it measures 180 degrees.

Angles ABC & CBD are linear pairs. (The two of them add up to 180°)

ABD is a right angle (90 degrees)

The straight angle (180) minus the right angle (90) equals 90 degrees.

x+2x+2x=90°

Combine like terms

5x=90°

divide by 5 on both sides

x=18

18×3=54

C

Hope this helps :-)

The integral ∫∫s xyz ds, over the given surface s, is equal to √2 ∫∫r ρ^3cosθsinθ(4-y) dρdθ, where r is the region in the xy-plane bounded by the cylinder x^2+y^2=4.

To evaluate the given integral ∫∫s xyz ds, where s is the part of the plane z=4−y that lies in the cylinder x^2+y^2=4, we can use the method of our choice. Let's use the method of cylindrical coordinates.

1. Set up the surface integral for the given function over the given surface s as a double integral over a region r in the xy-plane.
  ∫∫s xyz ds = ∫∫r xyz √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) dA

2. To find the region r, we need to determine the bounds for the cylindrical coordinates. Since the cylinder has radius 2, we have 0 ≤ ρ ≤ 2. The z-coordinate ranges from the plane z = 4-y to the plane z = 0. Thus, the bounds for z are 0 ≤ z ≤ 4-y.

3. Convert the integral into cylindrical coordinates by substituting x = ρcosθ and y = ρsinθ.
  ∫∫r xyz √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) dA
  = ∫∫r ρ^3cosθsinθ(4-y) √(1 + (-sinθ)^2 + (-cosθ)^2) dρdθ

4. Evaluate the double integral by integrating with respect to ρ first and then θ.
  ∫∫r ρ^3cosθsinθ(4-y) √2 dρdθ
  = √2 ∫∫r ρ^3cosθsinθ(4-y) dρdθ

Therefore, the integral ∫∫s xyz ds, over the given surface s, is equal to √2 ∫∫r ρ^3cosθsinθ(4-y) dρdθ, where r is the region in the xy-plane bounded by the cylinder x^2+y^2=4.

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The sketch to illustrate the question is given below

Since each of the bags are filled equally with 2 kilograms 450 grams of sand

Then we can sum two bags and compare the mass with 5 kilogram

We can see that the sum of two bags weighs 4 kilograms and 900 grams (4.90 kilograms) which is 100 grams less than 5 kilograms.

Thus we can conclude that the mass of 2 bags is LESS THAN 5 kilograms

Answer:

The ratio between A and B is 30/1.

Step-by-step explanation:

In math, ratios are the relationships between two quantities using division. They want us to find the ratio of A (3 * 10^-6) to B (0.0000001). While the quantity of A is in scientific notation, the quanitity of B is in decimal notation.

Scientific notation is a way to notate very large or very small numbers in the form of a * 10^m, where 1 ≤ a < 10.

Decimal notation is the regular notation we use for rational numbers that are not fractions or percentages.

I will do the math in scientific notation. First, I will convert B from decimal notation to scientific notation. To do this, I must first find the decimal point in B.

0.0000001

Then, I move the decimal place right until the a number is between 1 and 10.

1

But we can't just make such a small number into 1 like nothing! I have to notify the change in a using powers of 10. SInce I moved the decimal place 7 places and the number got smaller, I will say that 1 can be multiplied by 10^-7

1 * 10^-7.

Now I can find the ratio between A and B. First, I write the ratio as is.

(3 * 10^-6)/(1 * 10^-7)

Next, I can rearrange the a number and the powers of 10 with each other.

= (3/1)(10^-6/10^-7)

Simplify.

= (3)(10)

= 30

The ratio between A and B is 30/1.

Answer:

b

Step-by-step explanation:

just add x values and numbers

Answer:

($26,000/100)*94 = $24,440

Step-by-step explanation:

Divide 26,000 by 100 and multyply by 94 (100% - 6%) =  $24,440

Answer:

(3, 2)

Step-by-step explanation:

The solution to the system of equations is (3, 2)

Hope this helps!

Answer:

(2, 3)

----------________-------------

A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

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a. The 95% confidence interval for μ is (46.90, 52.38).

b.  The 95% confidence interval for μ is (47.13, 52.15).

a. For a sample of size 22, the degree of freedom is 22-1 = 21.

          Using a t-distribution table with 21 degrees of freedom and a confidence level of 95%, we find that the t-value is approximately 2.080. The sample standard deviation is the square root of the sample variance, so

                 s = sqrt(38.44) = 6.2.

          The margin of error is t * (s / sqrt(n)) = 2.080 * (6.2 / sqrt(22))

                                                                       = 2.74.

          Therefore, the 95% confidence interval for μ is (49.64 - 2.74, 49.64 + 2.74) or (46.90, 52.38).

b. For a sample of size 26, the degree of freedom is 26-1 = 25.

          Using a t-distribution table with 25 degrees of freedom and a confidence level of 95%, we find that the t-value is approximately 2.060.

          The sample standard deviation is still 6.2 and the margin of error is now

                  t * (s / sqrt(n)) = 2.060 * (6.2 / sqrt(26))

                                        = 2.51.

             Therefore, the 95% confidence interval for μ is (49.64 - 2.51, 49.64 + 2.51) or (47.13, 52.15).

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The probability that a patient with a negative result is truly HIV-free is 0.999.

Here, we have,

to find the probability that the negative result is correct:

To find the probability that confirms that the result of the HIV test is negative, we must take into account the information provided in the information and perform the following mathematical operation.

The probability that No HIV and test positive is:

P = 0.85 * 0.985

P = 0.8372

The probability that HIV and test negative is:

P = 0.15 * 0.003

P = 0.00045

The probability that No HIV and negative test of HIV and negative test is:

P = 0.00045 + 0.8372

P = 0.8377

P = (NOT HIV / Test)

P = 0.8372 / 0.8377

P = 0.999

According to the above, the probability that a patient with a negative result is truly HIV-free is 0.999.

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