A) Find the area of each triangle.
1)
2 yd
7 yd

Answer:

Step-by-step explanation:

To calculate 7⋅VN−→3⋅MT−→, we need to perform scalar multiplication on the two vectors. Scalar multiplication is simply multiplying each of the components of the vector by the scalar value.

So for the first vector, we have: 7⋅VN−→ = {7⋅(-8); 7⋅3} = {-56; 21}.

For the second vector, we have: 3⋅MT−→ = {3⋅2; 3⋅10} = {6; 30}.

Then to add the two vectors, we simply add the corresponding components: {-56; 21} + {6; 30} = {-50; 51}.

Therefore, the final result is {-50; 51}.

Answer:

Distribute the numbers answer: 2m+18

Step-by-step explanation:

2(m+9)

MULTIPLY 2 and m, and MULTIPLY 2 and 9!

Answer:

B

Step-by-step explanation:

Answer:

y = 28

Step-by-step explanation:

Answer:

56,971.5 cubic inches.

Answer:

20 apples, 32 pears

Step-by-step explanation:

Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).

One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.

Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.

Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.

Dividing by 0.2 gives a=20.

We can sub this into either equation to get the value of p.

a+p=52, so 20+p=52, meaning p=32.

**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!

The possible options for the players menu would be:

To calculate the menu possibilities we must take into account the standards established by the coach:

According to these conditions, we must take into account that the total menu must not exceed these standards. For the above, we set different variables as shown below.

Subsequently, we decrease the number of tortillas and increase the number of bacon to see all the viable possibilities.

Based on the above, the possibilities are as follows:

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The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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The probability that the child spends less than 1 hour per day unsupervised is approximately 0.1335.

To find the probability that the child spends less than 1 hour per day unsupervised, we can use the normal distribution and the given mean and standard deviation.

Given:
Mean (μ) = 3 hours
Standard Deviation (σ) = 1.8 hours

We want to find the probability that the child spends less than 1 hour per day unsupervised, which is equivalent to finding the area under the normal distribution curve to the left of 1 hour.

Using the Z-score formula:
Z = (x - μ) / σ

Substituting the values:
Z = (1 - 3) / 1.8
Z = -1.11

Now, we can use a Z-table or a calculator to find the probability associated with the Z-score of -1.11. The probability can be found as the area to the left of the Z-score.

Looking up the Z-score of -1.11 in the Z-table, we find the corresponding probability to be 0.1335.

So, the probability that the child spends less than 1 hour per day unsupervised is approximately 0.1335.

The probability statement is: p(x < 1) = 0.1335.

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Answer: What is your question?

Step-by-step explanation:

The area of the triangle bounded by the y-axis, the line f(x) = 3 - (3/4)x, and the line perpendicular to f(x) that passes through the origin is 6 square units.

To find the area of the triangle bounded by the y-axis, the line f(x) = 3 - (3/4)x, and the line perpendicular to f(x) that passes through the origin, we need to determine the vertices of the triangle.

First, we find the x-intercept of the line f(x) = 3 - (3/4)x by setting f(x) = 0 and solving for x:

0 = 3 - (3/4)x

(3/4)x = 3

x = 4

So, one vertex of the triangle is at the point (4, 0).

Next, we determine the equation of the line perpendicular to f(x) that passes through the origin. Since the given line has a slope of -3/4, the perpendicular line will have a slope of the negative reciprocal, which is 4/3. The line passing through the origin (0, 0) with a slope of 4/3 can be expressed as y = (4/3)x.

Now, we find the point of intersection of this perpendicular line with the y-axis by setting x = 0 in the equation y = (4/3)x:

y = (4/3)(0)

y = 0

So, the other vertex of the triangle is at the point (0, 0).

Finally, we can calculate the area of the triangle using the formula for the area of a triangle: Area = (1/2) * base * height. The base of the triangle is the distance between the two vertices, which is 4 units, and the height is the y-coordinate of the point (4, 0), which is 3. Therefore, the area of the triangle is:

Area = (1/2) * 4 * 3 = 6 square units.

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Answer:

#1. Peng spent $48,918.

#2. The farmer had $10,660 at first.

#3. 2,160 minutes

Step-by-step explanation:

#1. (26 × $1,334) + (19 × $749)= $48,918

#2. 26 × 410 + 162= $10,660

#3. 2 ×(9 + 6 + 9 + 6)×12 ×3=  2×30×12×3= 2× 360 × 3= 720 × 3= 2,160 minutes

Answer:

Answer:

6/8, 9/12, 12/16, 15/20

Step-by-step explanation:

If you simplify the fractions it will all equal 3/4.

Simplify by finding the Greatest Common Factor and dividing both numbers by the GCF.

The exponential function of the line that goes through points (0, 20) and (2, 180) is y = 20 × 3ˣ.

To find the exponential function of a line that goes through two points, we need to use the general form of the exponential function:

y = a × bˣ

where a is the initial value, b is the base, and x is the independent variable (usually time).

We can use the two points given to find the values of a and b.

Let's start with the point (0, 20):

y = a × bˣ

Plug in x = 0 and y = 20

20 = a ×  b⁰

20 = a ×  1

a = 20

Next, let's use the point (2, 180):

y = a × bˣ

Plug in x = 2 and y = 180

180 = 20 × b²

b² = 180/20

b² = 9

b = 3

Now, plug these values into y = a × bˣ

Therefore, the exponential function y = 20 × 3ˣ

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Answer:

(x+2)(x+4)=x^2+6x+8

Step-by-step explanation:

first you foil (x+2)(x+4) and you get x^2, 2x+4x+8

then combine like terms and you get x^2+6x+8

Answer:

(x+2)(x+4) = x*x + x*4 + 2*x + 2*4

                = x² + 4x + 2x + 8

                = x² + 6x + 8

If she uses the pass 10 times this year then the unit rate in cost per visit is $11 unit per visit.

In the given question,

Annie purchased a season pass for the new aquarium at a cost of $110.

If she uses the pass 10 times this year then we have to find the unit rate in cost per visit.

We have to find the unit rate.

Unit rate means finding the value of one object, that means we have to find the cost of one visit.

The cost of season pass is $110.

She visit aquarium 10 times.

We find the unit rate cost per visit by dividing the total cost of season pass  for the new aquarium by total times she visits in the new aquarium.

10 times = $110 cost

Divide by 10 on both side

10/10 times = $110/10 cost

1 times = $11 cost

Hence, if she uses the pass 10 times this year then the unit rate in cost per visit is $11 unit per visit.

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The required slope of the curve at the point (-1, -4) is 1/4.

Given that  the curve at the given point. \(x^{2}\) + \(y^{2}\) = 17 and (-1, -4) respectively.

To find dy/dx using implicit differentiation, and differentiate both sides of the equation with respect to x, treating y as a function of x.

To find the slope of the curve at the point (-1, -4), and substitute the given coordinates into the expression for dy/dx.

That implies,

Differentiating \(x^{2}\) + \(y^{2}\) = 17 with respect to x:

2x + 2yy' = 0

Isolate the term containing dy/dx:

2yy' = -2x

Dividing both sides by 2y

y' = -x / y

Therefore, the expression for dy/dx in terms of x and y is dy/dx = -x / y.

Substitute the given coordinates into the expression for dy/dx:

dy/dx = -(-1) / (-4) = 1/4.

Hence, the slope of the curve at the point (-1, -4) is 1/4.

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The equations which has the same value of x as the given equation; Three-fifths (30 x minus 15) = 72 are;

Since the given equation in the task content is;

Three-fifths (30 x minus 15) = 72

The word phrase can be written algebraically as follows;

3/5 ( 30x - 15 ) = 72

The equation can therefore be solved as follows;

(3/5 × 30x) - (3/5 × 15) = 72

= ( 3 × 6x ) - (3 × 3) = 72

= 3 (6x - 3) = 72............. Equivalent expression.

By the distributive property; we have;

18x - 9 = 72..................... Equivalent expression

And by solving for the value of x; we have;

18x = 81

x = 81 / 18

x = 4.5

On this note, the equations which have the same value for x as; Three-fifths (30 x minus 15) = 72 are;

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Answer:

that is what a creep would say.  

Step-by-step explanation:

No JK :)

LOL

Answer:

me I want to talk cause I need someone to talk to

Answer:

\(\frac{3}{10}\)

Step-by-step explanation:

Divide the number of red sweets by the total number of all sweets.

\(\frac{3}{3+3+4} = \frac{3}{10}\)

Answer:

Step-by-step explanation:

The subject in a statistical research work usually refer to the participants involved in the experiment which is usually a quantitative research.

The subjects in this study are all the overweight cats including those in the control and treatment groups.

Answer:

the answer is either B or A but i strongly agree on A a little

Step-by-step explanation:

Answer:

Do you need help or something??

Step-by-step explanation:

Considering the given figure the area of the square is calculated to be

1 squared centimeters units

The area of the square is calculated using the formula

= length * length

The regular hexagon have a side 1 cm, angles in a regular hexagon is also 60 at the vertex

dropping a perpendicular angle bisector to divide BD at point say m, a right triangle is formed

hypotenuse BC = 1

opposite = BM

adjacent = CM

sin 30 = BM / BC

BM = sin 30 * 1

BM = 0.5 cm

side of the square BD = BM + DM = 0.5 + 0.5 = 1 cm

Area of the square

= 1 * 1

= 1 centimeter square

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Answer:

B. Quadrilateral

It's a quadrilateral because a quadrilateral is a polygon that has four sides and all the images has four sides

The chi-square test of independence is typically used to analyze the relationship between two variables when both variables are nominal, the two variables have been measured on different individuals and the observations on each variable are within-subjects in nature. The answer is  D. all of the above

The chi-square test of independence is a statistical test that is used to determine if there is a significant association between two categorical variables. It is commonly used when both variables are nominal, meaning they consist of categories or groups rather than numerical values.

When conducting the chi-square test of independence, the data is typically collected by measuring the two variables on different individuals or units.

For example, researchers may collect data on the gender (nominal variable) and political affiliation (nominal variable) of different individuals and analyze whether there is a relationship between the two variables.

The test examines the observed frequencies of the different categories in a contingency table and compares them to the expected frequencies under the assumption of independence. If the observed and expected frequencies significantly differ, it suggests that there is an association between the two variables.

Therefore, the chi-square test of independence is applicable when both variables are nominal and the data is collected on different individuals. This allows researchers to investigate the relationship between the variables and determine if they are associated or independent.

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