GEOMETRY HELP NEEDED ASAP

The equation Y=-3x-1 represents a linear relationship between x and y, and can be used to model real-world situations such as distance vs. time or cost vs. quantity.

The equation Y=-3x-1 represents a straight line on a coordinate plane. The "slope-intercept" form of the equation is y=mx+b, where m is the slope and b is the y-intercept.

In this case, the slope is -3 and the y-intercept is -1. This means that the line goes downwards at a rate of 3 units for every 1 unit to the right, and intersects the y-axis at -1.

To find the solution to this equation, you would need to have a specific value for either x or y.

If you were given a value for x, you could plug it into the equation to find the corresponding value for y. If you were given a value for y, you could solve for x by rearranging the equation.

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Answer:

It is the first one and the second one. If it is the same, then the slope will be constant.

Step-by-step explanation:

Answer:

I think it's the second one ( Any two points on the line will produce the same slope)

Step-by-step explanation:

Any two points on a line will ALWAYS have the same slope. There's no way that it won't be that way. That's why you are able to choose any two points on a graph to find a slope.

For the first one, i think it's wrong because although the slope is 1/2, Jennifer used the slope 2/4 while Marshall used 1/2. Even though it's the same, Jennifer didn't technically use 1/2...

And the third option is wrong. The slope isn't 2.

Hopefully this wasn't confusing... :)

The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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Answer:$10.88

Step-by-step explanation:

36/100 ×8= 2.88

Selling price is 8+2.88

Answer:

a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)

Step-by-step explanation:

In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:

a) At least 60 square feet of plywood for the surface

Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:

\(p \geq 60\,ft^{2}\) (Eq. 1)

b) At least 36 feet of wood planks for the frame of the dog house

Let \(w\) the total length of wood planks, measured in feet, and the inequation is:

\(w \geq 36\,ft\) (Eq. 2)

c) Between 1 and 2 quarts of paint

Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:

\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)

d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.

Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:

\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)

Write an inequality to represent each constraint(material and cost)

Plywood:

plywood ≥ 60 square feet

Planks:

planks ≥ 36 feet

Paints

1 quarts ≤ paints ≤ 2 quarts

Inequality to represent cost constraint

Plywood = $0.70

planks of wood = $0.10

paint costs $8

Total cost = $65

0.70 × p + 0.10 × pw + 8 × Pa ≤ 65

0.70p + 0.10pw + 8pa ≤ 65

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Answer:

If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal.

Step-by-step explanation:

Answer:

(1,2)

Step-by-step explanation:

The x-axis always goes first when it comes to graphing, therefore for the y-axis it is always secondary. Unless you are doing Algebra Equations. Hope that explains everything!

Answer: 2, -3

Step-by-step explanation:

Answer:

d = 88 inches

Step-by-step explanation:

since the figures are similar then the ratios of corresponding sides are in proportion , that is

\(\frac{d}{55}\) = \(\frac{16}{10}\) = 1.6 ( multiply both sides by 55 to clear the fraction )

d = 55 × 1.6 = 88 inches

=======================================================

Explanation:

Draw out a number line. Plot point D at -84 and K at 25. Plot a third point, say point A, at 0.

From D to A is 84 units

From A to K is 25 units

Those two distances add to 84+25 = 109 units total, which is the distance from K to D on a number line. This is the same as the length of segment KD.

-----------

You could also show your steps like this

|D - K| = |-84 - 25| = |-109| = 109

The absolute value is to ensure the result is never negative.

The D and K can swap like so

|K - D| = |25 - (-84)| = |25+84| = |109| = 109

Either way we get the same distance.

Answer:

Step-by-step explanation:

a - 4x-4 - 6x + 10 = 10x -16

Answer:

Friday's drink will taste more like soda and Saturday's drink will taste more like orange juice.

Step-by-step explanation:

Not sure if this is the exact answer you want, but we can use fractions to determine how much one drink tastes compared to the other.

For Sam's Friday drink, we see that he makes 7 liters of orange soda by mixing 3 liters of orange juice with 4 liters of soda. As such, we know that \(\frac{3-liters-of-orange-juice}{7-total-liters}\) and \(\frac{4-liters-of-soda}{7-total-liters}\).

For Sam's Saturday drink, we can also approach it the same way: the drink has \(\frac{4-liters-of-orange-juice}{9-total-liters}\)  and \(\frac{5-liters-of-soda}{9-total-liters}\)

Now, we can just compare the fractions with each other:

\(\frac{4-liters-of-orange-juice}{9-total-liters}\)   >  \(\frac{3-liters-of-orange-juice}{7-total-liters}\) and

\(\frac{4-liters-of-soda}{7-total-liters}\) > \(\frac{5-liters-of-soda}{9-total-liters}\).

So we know that the Saturday drink will probably taste more like orange juice than the Friday one. Conversely, we know that the Friday drink will probably taste more like soda than the Saturday one.

Answer:

330 cubic inches

Step-by-step explanation:

The formula for a rectangular prism is l x w x h

so, let's input the numbers:

2 x 15 x 11

and solve:

330

So, the volume of a rectangular prism is 330 cubic inches

Answer:

\(\frac{47}{2} \to 6\)

\(\frac{60}{12} \to 5\)

\(\frac{40}{10} \to 4\)

\(\frac{56}{8} \to 7\)

\(\frac{64}{8} \to 8\)

Step-by-step explanation:

Given

See attachment

Required

Complete the blanks

To do this, we simply carry out the division operation.

So, we have:

\(\frac{47}{2} \to 6\)

\(\frac{60}{12} \to 5\)

\(\frac{40}{10} \to 4\)

\(\frac{56}{8} \to 7\)

\(\frac{64}{8} \to 8\)

The rates of the given equivalent unit rates are properly matched as follows:

42/7 = 6

60/12 = 5

40/10 = 4

56/8 = 7

64/8 = 8

To find the unit rate, the numerator is divided by the denominator such that the denominator is reduced to 1.

Thus, let's find the unit rates that matches with the equivalent rates given (see attachment below).

Divide the numerators by the denominators such that the value of the denominators are reduced to 1.

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Answer:

112

Step-by-step explanation:

4/7 of the number 49 is 28.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Let x be the unknown number be x.

Now, 4/7 ×x=28

4x=28×7

4x=196

x=49

Therefore, 4/7 of the number 49 is 28.

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Answer:

£15158.00

Step-by-step explanation:

The profit on the sale of 1 computer is the difference between the selling price and the buying price.

Profit on 1 computer:

£2081.00 - £915.00 = £1166.00

The profit on 13 computers is 13 times the profit on 1 computer.

13 × £1166.00 = £15158.00

Answer: £15158.00

Answer:

In the image attached you can observe that we have three prism, we need to find their volumes. Remember, the volume of any prism is the product between its base-area and its height.

This is a trapezoidal prism, which is defined as

\(V_{a}=\frac{(B+b)h_{1} }{2} \times h_{2} \\ V_{a}=\frac{(12+9)4}{2} \times 16\\ V_{a}=42 \times 16 = 672 \ cm^{3}\)

This is a triangular prism, which is defined as

\(V_{b}=\frac{1}{2} b \times h_{1} \times h_{2}\\ V_{b}= \frac{1}{2} \times 36 \times 25 \times 53\\ V_{b}=23,850 \ cm^{3}\)

In this prism, 6 decimeters are equivalent to 60 centimeters. It's volume is defined as

\(V=\frac{1}{2} \times 48 \times 60 \times 80 = 115, 200 \ cm^{3}\)

The height of the right triangle if the area of the triangle is 150 square units = 30 units

In this question, we have been given a right triangle's height is 3 times the length of its base.

We need to find the height of the right triangle if the area of the triangle is 150 square units.

Let h be the height and b is the base of the right triangle.

A right triangle's height is 3 times the length of its base.

So we get an equation,

h = 3b              ............(1)

Using the formula of area of right triangle,

A = 1/2 * b * h

150 = 1/2 * b * 3b                  .........(from equation (1))

300 = 3b^2

b^2 = 100

b = 10

Subatitute above value of b in equation (1),

h = 3 * 10

h = 30 units

Therefore, the height of right triangle is 30 units

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The coordinates of triangle DEF are D(9, 3), E(15, 6), and F(21, 3) respectively.

To find the coordinates of triangle DEF, which is similar to triangle ABC through a dilation of 3. Here we need to multiply the coordinates of each point in triangle ABC by the scaling factor of 3.

Let us denote the coordinates of triangle ABC as A(3, 1), B(5, 2), and C(7, 1). To find the coordinates of triangle DEF, we multiply the x and y coordinates of each point by 3.

Coordinates of triangle DEF:

D = (3 ×3, 1 ×3) = (9, 3)

E = (5 × 3, 2 ×3) = (15, 6)

F = (7 ×3, 1 × 3) = (21, 3)

Therefore, the coordinates of triangle DEF are D(9, 3), E(15, 6), and F(21, 3) respectively.

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Values of y that corresponds with the value of x as per quadratic functions are as follows:

6

0

-2

0

6

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree. A quadratic function must have at least one second-degree term. It performs algebraic operations.

The parent quadratic function connects the locations whose coordinates have the type f(x) = x2 and is of the kind (number, number2).

Just need to evaluate the function for each value of X.

for x=1 y=2(1-3)²-2= 6

for x=2 y=2(2-3)²-2= 0

for x=3 y=2(3-3)²-2= - 2

for x=4 y=2(4-3)²-2= 0

for x=5 y=2(5-3)²-2= 6

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In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.

In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.

Here,

To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.

For example:

f(0) = 4(0) - 6 = -6

f(1) = 4(1) - 6 = -2

f(2) = 4(2) - 6 = 2

f(-1) = 4(-1) - 6 = -10

f(3a) = 4(3a) - 6 = 12a - 6

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Answer:

6

Step-by-step explanation:

15 = 5/2x

15 = 5x/2

30 = 5x

x = 6

Answer:

b) 5 (1)/(2) cm

Step-by-step explanation:

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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Answer:

35°

Step-by-step explanation:

The central arc is equal to the arc that subtends it, then

arc AC = 75° and

BC = AC - AB = 75° - 40° = 35°

There are 15,890,700 different ways the numbers can be selected from this lottery.

To calculate the number of different ways the numbers can be selected from a certain lottery, we need to know the total number of numbers in the lottery and the number of numbers to be selected.

Let's say the total number of numbers in the lottery is "n" and the number of numbers to be selected is "r".

In this case, we can use the concept of combinations to determine the number of different ways the numbers can be selected. The formula for combinations is:

C(n, r) = n! / (r! * (n - r)!)

where "!" represents the factorial function.

Applying this formula, we can calculate the number of different ways the numbers can be selected.

For example, let's say the lottery has 50 numbers and we need to select 6 numbers. Using the formula, we have:

C(50, 6) = 50! / (6! * (50 - 6)!)

Calculating this expression:

C(50, 6) = 50! / (6! * 44!)

= (50 * 49 * 48 * 47 * 46 * 45) / (6 * 5 * 4 * 3 * 2 * 1)

Performing the calculations:

C(50, 6) = 15,890,700

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Keith can create 108 different combinations of classes.

Combinations refer to the number of ways to choose a subset of objects from a larger set, where the order of the chosen objects doesn't matter.

To find the total number of combinations, we need to multiply the number of options for each class:

Number of options for elective class: 3

Number of options for language class: 3

Number of options for gym class: 4

Number of options for science class: 3

Total number of combinations = 3 x 3 x 4 x 3 = 108

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Answer:

Step-by-step explanation:

Assuming that you meant 6(7x - x), we get:  6(6x) = 36x

Answer:

Step-by-step explanation:

cot θ=-9.68

cotθ is negative

so θ lies in 2nd or 4th quadrant.

tan θ=-1/9.68

θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°

3.

sec θ=-9.13+5=-8.13

sec θ is negative so θ lies in 2nd or 3rd quadrant.

cos θ=(-1/8.13)

θ=cos^{-1}(-1/8.13)≈97.1°

Answer:

5x + 18y

Step-by-step explanation: