Sydney took a trip to a relative’s house for Thanksgiving. She drove 65 miles per hour for 1. 5 hours and 55 miles per hour for 3. 5 hours. What was the total distance in miles that she traveled during this time?

Math in Focus, it's important to first understand the key components of the program, which include problem-solving strategies, critical thinking skills, and the use of real-world examples to reinforce concepts.

Math in Focus is a comprehensive math program designed to help students develop a deep understanding of mathematical concepts.

To get help with  One way to get help with Math in Focus is to work with a tutor or teacher who is knowledgeable about the program and can provide personalized instruction and support.

Additionally, students can use online resources, such as practice problems and video tutorials, to reinforce their learning and gain additional practice. Finally,

it's important for students to stay organized and keep up with the pace of the curriculum, as Math in Focus builds on concepts throughout the school year. With these strategies in place, students can excel in Math in Focus and build a strong foundation in math.

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Answer:

2,920

Step-by-step explanation:

did the math, so im 100% sure im correct

The simplest form of the expression 365 x 8 will be 2920.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that there are two numbers 365 and 8 multiplied by each other.

The solution of the expression 365 x 8 will be:-

E = 365 x 8

E =2920

Therefore, the simplest form of the expression 365 x 8 will be 2920.

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Answer:

14 coins = 1.30

Step-by-step explanation:

2x dimes than quarters

2x nickles as dimes

2 quarters - .50

2x2 - 4 dimes = .40

4x2 - 8 nickles - .40

.40 + .40 = .80

.80 + .50 = 1.30

2 quarters + 4 dimes + 8 nickles = 14 coins

The number 71.38 can be written in word form as "seventy-one and thirty-eight hundredths." The correct answer is option D.

In decimal notation, the number 71.38 can be broken down into its whole number and decimal parts. The whole number part is 71, and the decimal part is 0.38.

In a decimal number, the digits to the right of the decimal point represent fractions of a whole. Each digit to the right of the decimal point has a place value that is a power of 10.

In word form, the decimal part 0.38 is read as "thirty-eight hundredths." Therefore, when combined with the whole number 71, the correct word form is "Seventy-one and thirty-eight hundredths."

Therefore option D is the correct answer.

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Answer: 13

Step-by-step explanation:

Variance and Standard deviation can tell us the variation of data within a group of samples.

What is a variance?

Variance is a term used in probability theory and statistics to measure how far a group of numbers are spread out from their mean value.

In the context of hypothesis testing, the variance of two groups of data is compared to see if they are statistically significant.

A smaller variance indicates that the data points are closer together, whereas a larger variance indicates that the data points are farther apart.

What is Standard deviation?

The standard deviation is the square root of the variance, and it is used to express the average distance that data points deviate from the mean in a group of samples.

It is used in statistics to measure how tightly a set of data is clustered around its mean.

What is Mean?

The average value of a group of numbers is referred to as the mean.

It is calculated by adding all of the numbers together and then dividing by the total number of numbers.

What is T-value?

The t-value is used to test the null hypothesis, which states that there is no significant difference between two groups of data.

The t-value is calculated by subtracting the mean of one group from the mean of the other group and then dividing by the standard deviation of the two groups combined.

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Therefore , the solution of the given problem of circle comes out to be the intersection points can be used to make chords and secants, among other forms and angles.

A circle is formed by each region of a plane that is a certain distance from this extra point (center). It thus consists of spots that are isolated from one another by the surface and is curved. It also revolves about the centre equally from all angles. In the constrained, the double sphere of a circular, every group of endpoints is uniformly separated from the "centre." By tracing a thread through a circle, one can create a line to circular symmetry.

Here,

The sum of the radii determines the distance between the circular centres.

a single intersection

Two circles are said to be "tangent" or "touching" at a particular location when their paths cross. This indicates that there is only one spot in common between the two circles. The difference in radii is equivalent to the distance between the circle centres.

There are two intersections.

Two circles are said to be "intersecting" when they touch at two places. This indicates that there are two similarities between the two spheres. Less than the total of the radii, but larger than the difference of the radii, is the distance between the centres of the circles.

The intersection points can be used to make chords and secants, among other forms and angles.

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Therefore, the image of the vector (2, -1, 1) under the linear transformation T is (3, 3, -4).

To find the image of the vector (2, -1, 1) under the linear transformation T, we can use the given information about T and the properties of linear transformations.

We know that T is a linear transformation, which means it satisfies the following properties:

T(u + v) = T(u) + T(v) for any vectors u and v.

T(cu) = cT(u) for any scalar c and vector u.

Using these properties, we can find the image of (2, -1, 1) as follows:

(2, -1, 1) = (2 * (1, 1, 1)) + ((0, -1, 2) - (1, 0, 1))

Since we know the values of T for (1, 1, 1) and (0, -1, 2), we can substitute them into the equation:

(2, -1, 1) = 2 * T(1, 1, 1) + (T(0, -1, 2) - T(1, 0, 1))

= 2 * (3, 0, -1) + ((-3, 4, -1) - (0, 1, 1))

Performing the calculations:

(2, -1, 1) = (6, 0, -2) + (-3, 3, -2)

= (6 - 3, 0 + 3, -2 - 2)

= (3, 3, -4)

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Answer:

0.0372

Step-by-step explanation:

Convert  to scientific notation.

Answer:

Step-by-step explanation:

3.72 x 10 = 37.2

10 to the power of -2 = 0.01

3.72 x 10 to the power of -2 =

0.0372

93/2500

Hope this helps! <3

In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

To evaluate the given iterated integral ∫∫R (1 - y²)/(9(x + y)) dA, where R is the region in the xy-plane bounded by the curves x = 0, y = 1, and 9(x + y) = 2, we can convert it to polar coordinates for easier computation.

In polar coordinates, we have x = rcos(θ) and y = rsin(θ), where r represents the distance from the origin and θ is the angle measured counter clockwise from the positive x-axis.

The integral becomes ∫∫R (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) r dr dθ. In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

In the given integral, we substitute x and y with their respective polar coordinate representations. The numerator becomes 1 - r²sin²(θ), and the denominator becomes 9(rcos(θ) + rsin(θ)). Multiplying the numerator and denominator by r, we have (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) = (1 - r²sin²(θ))/(9r(cos(θ) + sin(θ))). We then rewrite the double integral as two separate integrals: the outer integral with respect to θ and the inner integral with respect to r. The limits of integration for θ are 0 to π/2, while the limits for r are determined by the curve 0 = (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)).

We can simplify this curve to 2cos(θ) - 9sin(θ) = 9, which represents an ellipse in the xy-plane. The limits of r correspond to the radial distance within the ellipse for each value of θ. By evaluating the double integral using these limits, we can determine the result of the given iterated integral.

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From the top of a 45 ft tower a person can see the other on the ground with an angle of depression of 40°. The horizontal distance from the person at the base of the tower is approximately 55.2 ft.

Given:

Height of the tower = 45 ft

Angle of depression = 40°

To find:

Horizontal distance from the person at the base of the tower

We can use the trigonometric ratio "tan" to find the horizontal distance.

Let the horizontal distance from the person at the base of the tower be x. Then we have;

\($$\tan 40 = \frac{45}{x}$$\)

Multiplying both sides by x, we get;

x\tan 40° = 45

Dividing both sides by tan 40°, we get;

x = 45/tan 40°

Now, let's evaluate the value of x using a calculator.

x = 45/tan 40°

= approx 55.2

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The slope of the tangent line to the curve y sin 2x = x cos2y at the point (1,5) is -(1/4).

To find the slope of the tangent line, we need to take the derivative of both sides of the equation using implicit differentiation.

First, we'll use the chain rule to find the derivative of sin 2x and cos 2y:

d/dx (sin 2x) = 2cos 2x
d/dy (cos 2y) = -2sin 2y

Now, we'll apply the product rule to the left side of the equation and the chain rule to the right side:

d/dx (y sin 2x) = y(2cos 2x) + sin 2x(dy/dx)
d/dy (x cos 2y) = cos 2y + x(-2sin 2y)(dy/dx)

Setting these equal and solving for dy/dx, we get:

y(2cos 2x) + sin 2x(dy/dx) = cos 2y - x(2sin 2y)(dy/dx)
dy/dx = (cos 2y - y(2cos 2x))/(sin 2x + x(2sin 2y))

Now, we can plug in the values for x and y from the given point (1,5):

dy/dx = (cos 10 - 10cos 2)/(sin 2 + 10sin 10)

Using a calculator, we get approximately -0.25, which is option c: -(1/4). Therefore, the slope of the tangent line to the curve y sin 2x = x cos2y at the point (1,5) is -(1/4).

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A comparison of the cost of each for 100 g indicates that the standard which costs about $1.13 per 100 grams is more expensive than the supersize which costs about $0.69 per 100 g and the supersize is more expensive than the economy which costs $0.575 per 100 g.

The order of the cost of the brands from cheapest to most expensive can be presented as follows;

The cost per unit is the cost of a number of items, divided by the number of units of the item.

The unit cost of the brands of cereal sold at the supermarket are therefore;

Unit cost per 100 gram for Standard = $2.49/220 g × 100 ≈ $1.13/g

Unit cost per gram for Economy = $5.00/725 g × 100 = $100/145/ g ≈ $0.69/g

Unit cost per gram for Supersize = $11.50/2kg × 100 = $1150/2,000 g ≈ $0.575/g

Based on the above unit cost, we get;

1.13 > 0.69 > 0.575

Therefore, the cheapest brand is the supersize with a cost per 100 gram of $0.575/g, followed by the economy, with a cost per 100 grams which is about $0.69/g then the most costly is the standard, with a cost per 100 gram of $1.13/g

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Okay, here are the steps to find the minimum value of P:

1) Given: |z|=|w|=1 (z and w are complex numbers with unit modulus)

|z+w|=sqrt(2)

Find z and w such that these conditions are satisfied.

Possible solutions:

z = 1, w = i (or vice versa)

z = i, w = 1 (or vice versa)

2) Substitute into P = |w-\frac{4}{z}+2(1+\frac{w}{z})i|

For the cases:

z = 1, w = i: P = |-1-4+2(1+i)i| = |-5+2i| = sqrt(25+4) = 5

z = i, w = 1: P = |1-\frac{4}{i}+2(1+\frac{1}{i})i| = |-3+2i| = sqrt(9+4) = 5

3) The minimum value of P is 5.

So in summary, the minimum value of

P = |w-\frac{4}{z}+2(1+\frac{w}{z})i|

is 5.

Let me know if you have any other questions!

Answer:

Step-by-step explanation:

Discussion

You haven't given us any choices. Always do that it you have them. Look for the graph that looks like the one below. It has the following characteristics

Answer:

  4x +4y -31

Step-by-step explanation:

You want the simplified form of 9y - 3 (y + 1) - 2y + 4 (x - 7).

The expression is simplified by eliminating parentheses using the distributive property, then combining like terms.

  9y - 3 (y + 1) - 2y + 4 (x - 7)

  = 9y -3y -3 -2y +4x -28

  = 4x +(9-3-2)y +(-3-28)

  = 4x +4y -31

Answer: True

Step-by-step explanation:

Substitute 12 for x in the inequality

x > 5

12 > 5

12 is greater than 5 so x = 12 is a solution to x > 5

The coordinates of the point q on the segment with endpoints a (2, −1) and c (4, 2) which partitions the segment in a 4:1 ratio. are (2, 7/5).

We can solve this question by using the section formula, which states that if we have a line segment with endpoints (x1, y1) and (x2, y2) and we want to find a point on the segment that divides it in the ratio of m:n, then the coordinates of the point can be found using the following formula:

q(x,y) = ((mx2 + nx1) / (m + n), (my2 + ny1) / (m + n))

In our case,

m=4, n=1

x1=2, x2=4

y1=-1 ,y2=2

By using the given values in the formula mentioned above, we get the coordinates of q as:

q(x,y)=( [4*4+1*2]/5 ,[4*2+1*-1]/5 )

q(x,y)=( 18/5), (7/5)

So the x coordinate of q is: 18/5

the y coordinate of q is: 7/5

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Answer:

The answer is A: 350 ≥ 125 + 15x

Step-by-step explanation:

The amount of money spent would need to be greater than or equal to the budget. $125 was already spent. You would then ADD the amount of canvas' you buy, x, times 15, the amount of $ per canvas. (15x).

Hope this helps.                

Answer:

The answer is A: 350 ≥ 125 + 15x

Step-by-step explanation:

To calculate the probability that the proportion of couples in the sample who are racially or ethnically mixed will be greater than .10, we can use a normal approximation to the binomial distribution.

First, we need to calculate the mean and standard deviation of the proportion of mixed couples in a sample of 200.

The mean is calculated as:

mean = n * p

where n is the sample size (200) and p is the proportion of mixed couples in the population (assumed to be .10).

So: mean = 200 * .10 = 20

The standard deviation is calculated as:

standard deviation = sqrt(n * p * (1-p))

where n is the sample size (200), p is the proportion of mixed couples in the population (assumed to be .10), and sqrt is the square root function.

So: standard deviation = sqrt (200 * .10 * .90) = sqrt (18) = 4.24

We can use the standard normal distribution to calculate this probability. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. We can convert our random variable X to a standard normal variable using the following formula:

Z = (X - mean) / standard deviation

So: Z = (X - 20) / 4.24

To find the probability that X is greater than .10, we can use a standard normal table or calculator to find the probability that Z is greater than (X - 20) / 4.24

This probability is 0.48, so the probability that the proportion of couples in the sample who are racially or ethnically mixed will be greater than .10 is 48%.

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Yes, the vectors 4x - 8 + 8x², -6 - 6x + 8x², and 5 - 7x - 4x² are linearly independent.

To determine if the vectors 4x - 8 + 8x², -6 - 6x + 8x², and 5 - 7x - 4x² are linearly independent, we need to check if there exist constants a, b, and c (not all zero) such that a(4x - 8 + 8x²) + b(-6 - 6x + 8x²) + c(5 - 7x - 4x²) = 0 for all values of x.

By comparing the coefficients of x², x, and the constant terms, we can set up a system of linear equations:

4a - 6b - 4c = 0

-8a - 6b - 7c = 0

8a + 8b - 4c = 0

Solving this system of equations, we find that a = 0, b = 0, and c = 0 are the only solutions. This means that the vectors are linearly independent.

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Hello,

.

\(f(x) = - {x}^{2} - 3\)

\(h(x) = - {x}^{2} - 3 - 6 = - {x}^{2} - 9\)

Check the graph

Answer:

A is the correct answer. x = 3.

Step-by-step explanation:

\( {49}^{x + 4} = {7}^{5x - 1} \)

\( {7}^{2(x + 4)} = {7}^{5x - 1} \)

\(2x + 8 = 5x - 1\)

\(3x = 9\)

\(x = 3\)

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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Answer:

x+5

Step-by-step explanation:

Hope this helps

Hi! I hope you're enjoying your day!

The linear relationship between x and y is

y=x+5

So we take a number x, add 5 to it, and that is equal to y.

Let's try and see if it works.

Let's take 2.

Add 5:

y=5+2

That should be equal to 7.

y=7

Yeah! It worked :)

Let's try another one.

Let's take 3.

y=3+5

y=8

Woo-hoo! It worked again :)

Hence, the answer is

\(\boxed{\boxed{\bold{Option~B~-y=x+5}}}\)

Hope everything is clear.

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\(\rule{250}{2}\)