Marie is riding her bike at 15 miles per hour. What is her rate of speed in feet per second?

1.5

5.9

22

88

Answer: B = 50,000 * 1.18^t

Step-by-step explanation:

This requires the use of the Future Value formula.

Future value = Amount invested + ( 1 + rate) ^ number of years invested

Future value = B in this scenario.

t = number of years.

When putting in figures therefore, the formula becomes:

B = 50,000 * ( 1 + 18%) ^ t

B = 50,000 * 1.18^t

Answer:

40

Step-by-step explanation:

why? because there are 5 pieces in each building set so 5×8=40 so the answer is 40

The system of equations representing the charges for plans A and B include the following:

y = 0.2x - 50

y = 0.3x - 105

A graph of the system of equations for plans A and B are shown in the image attached below.

In order to write the system of equations representing the charges, we would have to calculate the slope of the line based on the data points described above for each plans.

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (66 - 50)/(580 - 500)

Slope, m = 16/80

Slope, m = 0.2

At point (500, 50), a linear equation for plan A can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the given points into the point-slope form formula, we have;

y - 50 = 0.2(x - 500)

y - 50 = 0.2x - 100

y = 0.2x - 100 + 50

y = 0.2x - 50.

For plan B, the slope is as follows;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (69 - 45)/(580 - 500)

Slope, m = 24/80

Slope, m = 0.3

At point (500, 45), a linear equation for plan B can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

y - 45 = 0.3(x - 500)

y - 45 = 0.3x - 150

y = 0.3x - 150 + 45

y = 0.3x - 105.

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Complete Question:

Three cell phone plans, A, B, and C, each have a different flat monthly rate for the first 500 text messages and a different constant rate for every additional message over 500. These tables show the monthly charges for plans A and B when different numbers of messages are sent. Plan A Cell Phone Charges

Phone plans A and B each have a different flat monthly rate for the first 500 text messages and a different constant rate for every additional message over 500.

Plan A charges $50 monthly for 500 text messages and $66 monthly for 580 text messages.

Plan B charges $45 monthly for 500 text messages and $69 monthly for 580 text messages.

Letting x represent the number of messages over 500, and y the total monthly charges, write equations representing the charges for plans A and B. Then graph the equations for plans A and B on the same coordinate grid.

Answer:

(x-3)(x^2-7) = x^3 -3x^2 -7x + 21

just change the sign of the root and put x in front of it, then multiply the factors all together

(x-3)(x-sqr7)(x+sqr7)    roots come in conjugate pairs to eliminate irrational coefficients

(x-sqr7)(x+sqr7) = x^2-7.  similar to (a-b)(a+b) = a^2-b^2

Step-by-step explanation:

Answer:

m=2

Step-by-step explanation:

m=change in y/change in x

m=2/1 or 2

answer: 2

Answer:

the valu of x is 15 .....

The statistical procedure used to describe the strength and direction of the linear relationship between two factors is called correlation analysis.

Correlation analysis is a statistical technique that examines the relationship between two variables to determine the strength and direction of their association. It focuses specifically on the linear relationship between the variables, which means it assumes that the relationship can be represented by a straight line.

The result of a correlation analysis is often expressed as a correlation coefficient, which measures the degree of association between the variables. The correlation coefficient ranges from -1 to 1, where:

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a consistent manner.

A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable also increases in a consistent manner.

A correlation coefficient close to 0 indicates a weak or no linear correlation between the variables.

Correlation analysis helps to understand the relationship between variables and can provide insights into patterns, trends, and dependencies in the data. However, it is important to note that correlation does not imply causation, meaning that a strong correlation between two variables does not necessarily imply that one variable causes the other to change.

In addition to determining the correlation coefficient, correlation analysis can also involve generating a scatter plot to visualize the relationship between the variables and conducting hypothesis tests to assess the statistical significance of the correlation.

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The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.

The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.

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Step-by-step explanation:

The actual square root value is

12.7671453348...

But we Have taken only significant

figure and it is as 12.76

Answer:

QUESTION:

How do I shift the function a(x)=|x|+3 2 units to the right?

ANSWER:

Try Math___way I always go there for help when no one can help me here. Just type in your math question and you get instant answers and an explanation.

Step-by-step explanation:

Hope that this helps you out! :)        

If you have any questions please put them in the comment section below this answer.        

Have a great rest of your day/night!        

Please thank me on my profile if this answer has helped you.

Calculating the sine, cosine and tangent of the angle pi/6 (that is, 30°), we have that:

The compound interest calculated for 10 years annually, semi-annually, quarterly, monthly, and daily are (a) $2195.05,  (b) $2206.18  (c) $2211.88 (d) $2215.75, and, (e) $2217.63

The formula for Compound Interest is

Amount = Principal X (1 + r/n100)ⁿˣ

where,

Principal = original mount

n = no. of times the interest is applied

t = time period

Here,

Principal = $1400

x = 10

r = 4.6

a)

Since it is compounded annually, the interest will be given 10 times in 10 years. therefore, once a year

Hence,

n = 1

Amount = 1400 X (1 + 4.6/100)¹⁰

= 1400 X (104.6/100)¹⁰

= 1400 X (1.046)¹⁰

= $2195.05

b)

Since the interest is compounded semi-annually here, it will be calculated twice a year.

Hence, n = 2

Therefore we get

Amount = 1400 X (1 + 4.6/200)²⁰

= 1400 X (204.6/200)²⁰

= 1400 X (1.023)²⁰

= $2206.18

c)

Since it is compounded 4 times a year now,

n = 4

Hence we get

Amount = 1400 X (1 + 4.6/400)⁴⁰

= 1400 X (1.0115)⁴⁰

= $2211.88

d)

Here, the interest is calculated 12 times a year

Hence we get

Amount = 1400 X (1 + 4.6/1200)¹²⁰

= 1400 X (10038)¹²⁰

= $2215.75

e)

Here we are told to ignore leap years, hence we are only going to consider a year to have 365 days.

Hence,

n = 365

Therefore, we get

Amount = 1400 X (1 + 4.6/36500)³⁶⁵⁰

= 1400 X (1 + 4.6/36500)³⁶⁵⁰

= 1400 X (1.00012)³⁶⁵⁰

= $2217.63

Correct Question

If 1400 dollars is invested in an account for 10 years. find the value of the investment at the end of 10 years if the interest is:

(a) 4.6% compounded annually

(b) 4.6% compounded semiannually

(c) 4.6% compounded quarterly

(d) 4.6% compounded monthly

(e) 4.6% compounded daily (ignore leap years)

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ఊhe directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.

To find the directional derivative of the function f(x, y, z) = 2z^2x + y^3 at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j, we can use the formula for the directional derivative:

D_v(f) = ∇f · v

where ∇f is the gradient of f.

Taking the partial derivatives of f with respect to each variable, we have:

∂f/∂x = 2z^2

∂f/∂y = 3y^2

∂f/∂z = 4xz

Evaluating these partial derivatives at the point (1, 2, 2), we get:

∂f/∂x = 2(2)^2 = 8

∂f/∂y = 3(2)^2 = 12

∂f/∂z = 4(1)(2) = 8

Therefore, the gradient ∇f at (1, 2, 2) is given by ∇f = 8i + 12j + 8k.

Substituting the values into the directional derivative formula, we have:

D_v(f) = ∇f · v = (8i + 12j + 8k) · (1/5√2)i + (1/5√2)j

= 8(1/5√2) + 12(1/5√2) + 8(0)

= (8/5√2) + (12/5√2)

= (8 + 12)/(5√2)

= 20/(5√2)

= 4/√2

= 4√2/2

= 2√2

Hence, the directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

Answer: 5.67.

Step-by-step explanation:

To place the decimal point when computing 1.35•4.2, we can use the fact that 135•42=5,670.

First, we can shift the decimal point one place to the left for each factor, making the problem 1.35 x 4.2 = 0.135 x 42.

Next, we can divide both sides of the equation 135•42=5,670 by 100 to get 1.35 x 42 = 56.7.

Since we shifted the decimal point to the left two places in the first step, we need to shift it back two places in the final answer, giving us 1.35•4.2 = 5.67.

Therefore, the decimal point in the product of 1.35 and 4.2 should be placed after the first digit, giving us a final answer of 5.67.

Answer:

5000

Step-by-step explanation:

312.5 = .25 x .25 x p so .25 times .25 is .0625, divide 312.5 by .0625 and its 5000

Answer:

D. 11

Step-by-step explanation:

T = total savings

w = number of weeks

Paige:

T = 350 + 25w

Cindy:

T = 190 + 40w

In how many weeks will Cindy have more money in her savings than Paige

Equate the total savings of both of them

350 + 25w = 190 + 40w

Collect like terms

350 - 190 = 40w - 25w

160 = 15w

w = 160/15

w = 10.67

Approximately,

In 11 weeks, will Cindy have more money in her savings than Paige

Check:

Paige:

T = 350 + 25w

= 350 + 25(11)

= 350 + 275

= 625

Cindy:

T = 190 + 40w

= 190 + 40(11)

= 190 + 440

= 630

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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Answer:

45.75

Step-by-step explanation:

95 x .7 = 66.5

66.5 x .8 = 53.2

53.2 x .8 = 42.56

42.56 x 1.075 = 45.75

The proof is complete, as it shows that all three medians of δabc are concurrent.

An equation is a mathematical statement that expresses the relationship between two or more variables, constants, and/or parameters. An equation is typically written using an equal sign ‘=’, but other symbols may be used to indicate a relationship, such as inequalities (‘>’, ‘<’, ‘≥’, ‘≤’), and equalities (‘≡’, ‘≅’). Equations are used to describe mathematical models, explain physical and chemical processes, and many other scientific and engineering applications.

This is true by definition, since concurrent lines all intersect at a single point. This proof relies on the properties of rigid transformations, the definition of congruence, and the definition of slopes and equations of lines. The proof begins by stating that the vertices of δabc are unique points. It then uses rigid transformations to transform δabc into δa'b'c' so that vertex a' is at the origin and a'c' lies on the x-axis in the positive direction. It then uses the definition of congruence to state that any property that is true for δa'b'c' will also be true for δabc. The proof then defines constants that represent the vertices of δa'b'c' and points that represent the midpoints of its sides. From there, the definition of slope is used to determine the slopes of the lines, and the point-slope formula is used to determine their equations. Finally, algebraic manipulation is used to show that all three lines contain the same point p, which implies that the three medians are concurrent.

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Answer

4.84%

Step-by-step explanation:

trust me

Answer:

Rhombus

Step-by-step explanation:

A triangle when rotated around any point by 180° forms a Rhombus.

Answer:

Rectangle

Step-by-step explanation:

I got it wrong on math nation and found out the correct answer.

After using the test statistic z, P(3.6<X<53.5) = 0.967.

In the given question, suppose X is a normal random variable with mean 35 and sdev 10.

We have to find P(3.6<X<53.5).

Fro the given question,

Mean x = 35

sdev s = 10

Z = X - mu / sd

P(3.6<X<53.5) = P ( 3.6-35/10 < Z < 53.5-35/10 )

P(3.6<X<53.5) = P ( -31.4/10 < Z < 18.5/10 )

P(3.6<X<53.5) = P ( -3.14 < Z < 1.85 )

P(3.6<X<53.5) = P ( Z < 1.85) - P ( Z < -3.14)

left tail of both

P(3.6<X<53.5) = 0.9678 - 0.0008

P(3.6<X<53.5) = 0.967

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The right answer is:

Suppose X is a normal random variable with mean 35 and sdev 10. Find P(3.6<X<53.5)

Answer:

  x=12

Step-by-step explanation:

12+x=-12+3x

-2x=-24

x=12

Answer:

x=12

Step-by-step explanation:

12+x=-3(4-x)

12+x=-12+3x

2x=24

x=12

A large standard deviation means the view of the people is very dispersed and not near the mean or not similar.

Standard deviation is a very important terminology in Statistics which help to study dispersion of data from the mean

A lower value of standard deviation means the data is accumulated near the mean while a higher value means the data is dispersed in the entire range.

It is given in the question that

A researcher conducts a written survey to determine the opinion of subjects regarding their opinion of the favorability of a certain hospital.

The standard deviation value for the sample is large

A large standard deviation means the view of the people is very dispersed and not near the mean or not same.

There will be difference in the opinion as they deviate from the central value.

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Answer:

2, 4, 4, 6

Step-by-step explanation:

So to get 3 to 2, you'd need to multiply by 2/3, so 2/3 would be the scale factor. 2/3*6=4, 9*2/3=6

The other side lengths of polygon B are 4, 4, and 6 inches.

Since polygon B is a scaled copy of polygon A, the ratios of corresponding side lengths will be the same. The shortest side of polygon B is 2 inches, while the shortest side of polygon A is 3 inches. Therefore, the scale factor from polygon A to polygon B is 2/3.

To find the other side lengths of polygon B, you can multiply the corresponding side lengths of polygon A by the scale factor:

The second side of polygon B: 6 (corresponding side of A) * 2/3 = 4 inches.

The third side of polygon B: 6 (corresponding side of A) * 2/3 = 4 inches.

The longest side of polygon B: 9 (corresponding side of A) * 2/3 = 6 inches.

So, the other side lengths of polygon B are 4, 4, and 6 inches.

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Answer: Shade 10 of the pieces.

Step-by-step explanation: To figure this out, divide 15 by 3(5) and then multiple 5 by two and you will get 10!

Answer: You need to shade 10 of the pieces.

Take 15/3 and get 5

Then take 5 * 2 and get 10

Step-by-step explanation: