stressed bc test due tonight help plese ty
For 16-19, graph each equation or inequality.
16. 2y – 4x < 8
17. -4y > -x + 12
18. | x + 3 |= y
19. |2x – 6| + 2 = y

Answer:

Step-by-step explanation:

The expression 70x-40x^4 if  factor is:-10x (4x^3-7).

Expressions  can be defined as equation that has both number that are known as well as numbers that are not known .

Example of expression is the sum of 9 and 1  will gives us 10  which is calculated as (9+1 =10).

Given data:

Expression: 70x-40x^4

Now let factor the expression using the given expression

70x-40x^4

Rearrange the expression

-40x^4 +70x

Common factor

-10(4x^4 -7x)

So the expression is:

-10x (4x^3-7)

Therefore we can conclude that the expression is -10x (4x^3-7).

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Answer:

See below

Step-by-step explanation:

Since lines n and p intersect, they must have different slopes.  Lets say they have slopes 2 and 4, as an example.  They will intersect.  Lines m and l are perpendicular to n and p, so their slopes will be the negative inverse of 2 and 4.  That gives them slopes of -(1/2) and -(1/4).  These slopes are different, so they will intersect.

The attached graph illustrates this intersection with lines having the above slopes.  Lines m and l intersect at (-1,1) in this example.  Lines m and l also intersect, off the graph at the top left.

The line TU is parallel to QR and SQR is dilated version of STU by a scale factor of 4.

What is midpoint theorem?

The line segment of a triangle connecting the midpoint of two sides of the triangle is said to be parallel to its third side and is also half the length of the third side, according to the midpoint theorem.

Through the diagram it can be seen that T and U are midpoints of SQ and SR respectively.

And it can also be seen that TU is parallel to QR.

It is given that ST = 2, TQ = 6, SU = 3 and UR = 9

The length of side SQ -

SQ = ST + TQ

SQ = 2+6

SQ = 8

The length of side SR -

SR = SU + UR

SR = 3+9

SR = 12

The measurement of QR = SQ as seen in the diagram.

According to midpoint theorem the mid points line segment TU measures half of its parallel third side of triangle QR.

Now, to find the scale factor -

= QR - TU

= 8 - 4

= 4

Therefore, the scale factor is 2.

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The distance flown by the plane East of the starting point is (60 minutes * 500 km/h * cos(120°))/60 minutes/hour = 250 * cos(120°) km.

What is the Pythagorean theorem in plain English?

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. The Perpendicular, Base, and Hypotenuse are the names of the three sides of this triangle.

The distance flown by the plane South of the starting point is (60 minutes * 500 km/h * sin(120°))/60 minutes/hour = 250 * sin(120°) km.

To find the distance of the plane from the starting point, we need to use the Pythagorean theorem.

The distance would be √((250 * cos(120°))^2 + (250 * sin(120°))^2) = √(62,500 + 62,500) = √125,000 = approximately 111.8 km

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Answer: 23

Step-by-step explanation: Both triangles are the same in measurements so whatever number - 4 that equals 19 is the answer. 23-4=19

0.5  is the best estimate of the correlation coefficient for the variables in the scatter plot.

What is the short definition of a scatter plot?

A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they can display the degree of connection, if any, between values of observable quantities or events (called variables).

What is the purpose of a scatter plot?

To illustrate how much one variable affects another, scatter plots are used to exhibit data points on a horizontal and vertical axis.

                       A marker is used to represent each row in the data table, and the position of the marker depends on the values of the columns that are set up on the X and Y axes.

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Although there are other factors to take into account, a model is worth your attention if its R-Squared is more than 0.6: R-squared values lower than 0.5 are normal for any science that tries to predict human behavior, such as psychology.

There are multiple phases involved in the actual R-squared computation. Finding the line of best fit, frequently from a regression model, entails taking the data points (observations) of dependent and independent variables.

Predicted values would then be calculated, actual values would be subtracted, and the results would be squared.

You would deduct the average actual value from each of the actual values, square the findings, and add them to determine the overall variance.

The R-squared is obtained by dividing the first sum of mistakes (unexplained variance) by the second sum (total variance) and deducting the result from one.

Hence, Although there are other factors to take into account, a model is worth your attention if its R-Squared is more than 0.6: R-squared values lower than 0.5 are normal for any science that tries to predict human behavior, such as psychology.

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The average rate of change of f(x) over -6≤x-4 is -70.

The average rate of change of g(x) over -6≤x-4 is -140.

The average rate of change of g(x) is 2 times that of f(x)

The average rate of change of an equation can be determine by using the formula below:

average rate of change = (f(x₂)- f(x₁)) / [x₂- x₁]

From the given information, f(x) = 7x², g(x) = 7x² and  x₁ = -6, x₂ = -4

For f(x) = 7x²:

average rate of change =  ([7(-4)²] - [7(-6)²]) / (-4-(-6))

                                       = (112-252)/2

                                      = -70

For g(x) = 14x²:

average rate of change =  ([14(-4)²] - [14(-6)²]) / (-4-(-6))

                                       = (224-504)/2

                                      = -140

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Water fills the cone to a capacity of 75%. 0.75 is the decimal equivalent of 75%.

Find the whole amount of what you're looking for to get a percentage of.

To calculate the percentage, divide the number.

Add 100 to the value.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, 35% is equal to the fraction 0.35 or the decimal 0.35.

The value of the number out of 100 is the proportion of the number. For instance, there are 26 females and 24 boys in a class. As a result, 52 out of 100 students in the class are females, or 52% of the class.

The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Percentages.

According to our question-

volume of water  =  (3/4) * (1/3)(a)(h)

volume of water  =  (3/4) * volume of cone

volume of water  =  75% of the volume of cone

75% of the cone's volume is filled with water.

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Answer: 37-12=25

25 divided by 5 = 5 so you can figure it out

Answer:

3 seconds?

Step-by-step explanation:

I mean he throws it up at x= 0 and it drops at x=3 So technically it must be 3?

This seems too simple, but see if it is correct.

The vertex of the function is at (5, 10) .For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10

Vertex, domain and range of a function

The vertex of a quadratic or linear function is in the form

y =  a(x – h)^2 + k

where;

(h, k) is the vertex of the function

Given the function expressed as;

f(x) = |x-5| + 10

On comparison, you can see that h = 5 and k =10, hence the vertex of the function is at (5, 10)

For the domain and range

Domain are the dependent variable for which a function exist while the range is the independent variable for which a function exist.

For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10

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The Mixed number is -6 1/6, an integer is -6.16, proper fraction is -13/6

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Answer:

cubic polynomial

Answer: false

Step-by-step explanation:

False

The 3 cans of peas cost 39 = $27

The 5 bags of flour cost 515 = $75

The 7 packs of milk cost 7*12.50 = $87.50

The total cost of all the items is 27+75+87.50 = $189.50

To calculate the change she received, you subtract the total cost from the amount she had:

change = 200 - 189.50 = $10.50

So Alicia received $10.50 change.

The number of aerobics classes that will cost the same for members and non-members is 5 classes.

The linear equation that represents the amount paid by members is:

membership fee + (amount per class x number of classes)

= $10 + ($3 x m)

= $10 + $3m

The linear equation that represents the amount paid by no-members is: (amount per class x number of classes)

$5 x m

= $5m

When the two costs are the same, the two equations would be equal:

$5m = $10 + $3m

$5 - $3m = $10

$2m = $10

m = $10 / $2

m = 5

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It is not possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm because the sum of two sides(2 cm and 3 cm) are smaller than third sides(7 cm).

In the given question, we have to check that it is possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always grater than the third side.

To check this we firstly add the 2 and 3

2 + 3 < 7

5 > 7

Now we add 2 and 7

2 + 7 > 3

9 > 3

Now we add 3 and 7

7 + 3 > 2

10 > 2

It is not possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm because the sum of two sides(2 cm and 3 cm) are smaller than third sides(7 cm).

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Answer:

No

Step-by-step explanation:

For the passenger to be correct, the two ratios should equal each other.

[tex]\frac{156}{34}[/tex] = [tex]\frac{39}{9}[/tex]  Multiply both sides by 34 and 9

[tex]\frac{(34)(9)}{1}[/tex] x [tex]\frac{156}{34}[/tex] = [tex]\frac{(34)(9)}{1}[/tex] x [tex]\frac{39}{9}[/tex]  On the left side of the equation, the 34's cancel each other out.  On the right side of the equation, the 9's cancel out.  That leaves us with:

(9)(156) = (340)(39)

1404 = 13260

These numbers do not equal each other so the ratios are not equal.

Answer:

Image 1 answer → not a polygon

Image 2 answer → n = 49 degrees

Image 3 answer → Square

Step-by-step explanation:

Image 1 explanation: Circles and ovals aren't polygons because their area and perimeter are calculated differently. So the answer is not a polygon.

Image 2 explanation: All complementary angles add up to 90 degrees, so 131 and 139 are incorrect. 41 and 49 add up to 90 degrees, which makes 49 degrees your answer.

Image 3 explanation: All options listed are quadrilaterals, but a square is the only shape that has 4 congruent sides and angles. Therefore, a square is a shape that possesses all the characteristics listed.

Have a great day! :)

The compound inequality given is "and" inequality.

Compound inequalities are inequalities which consist of more than two expressions connected with two or more inequality signs.

Compound inequality can be divided into two or more simple inequalities.

"And" inequalities are those compound inequalities where both the inequalities need to be true for the statement to be true.

"Or" inequality needs only any one of them true.

Given inequality is,

6 > x + 1 > 3

Subtracting 1 throughout,

5 > x > 2

Here x lies between 2 and 5 where x > 2 and x < 5.

Hence this inequality is "and" inequality.

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The center point formula,  (x h) 2 + (y k) 2 is r, must be converted into standard form in order to get the center and radius. 2 (x-h)2 + (y-k)2 is r2 (x-h)2 + (y-k)2 =is r2).

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The substitution property states that if two expressions are equal, then they remain equal when the same values are substituted into them.

This is usually expressed as:

The substitution property states that if two expressions are equal, then they remain equal when the same values are substituted into them. This means that if one expression is equal to another, then the same value can be swapped in for any of the variables within them and the equality will still hold.

For example, if we have the equation 4x + 7 = 11, then we can swap in any value for x and the equation will still be true. This is because the substitution property allows us to make a substitution for any of the variables and the equation will remain true.

This property is useful in solving equations and is a key part of algebra.

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Dante deposited $5,000 into an account with an annual interest rate of

3.5%. He plans to deposit an additional $200 each year, just after the

interest is compounded. His balance will be $9,838.44 after 16 years.

It displays the actual percentage rate of interest owed on any outstanding debts, including credit card debt and loans.

Because it takes compounding effects into account, the effective annual interest rate is the real interest rate on an investment or loan. The rate increases as the compounding periods get more frequent. Advertisements for loans or savings accounts may include both the nominal interest rate and the effective yearly interest rate. The rate that should be used to compare loan and investment rates of return is the effective annual interest rate.

We can substitute the known values into the formula and calculate the final balance:

A = $5,000 (1 + 0.035)¹⁶

We can calculate the final balance by using a calculator, or we can use the formula of compound interest:

A = P(1 + r/n)ˣ

where, A= Amount

P= Principle($5,000 )

x= Time(16 years)

n= Rate(3.5%)

A = $5,000 (1 + 0.035/1)¹⁶

Now we can add the $200 deposit each year for 16 years:

A = $5,000 (1 + 0.035)¹⁶ + $200 × 16

A = $9,838.44

Dante's balance will be $9,838

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The domain of the modulus function is the set of all real numbers. The range of the modulus function is the set of non-negative real numbers.

The modulus function, also known as the absolute value function, is a function that takes any real number as input and returns its distance from zero on the number line.

In mathematical notation, the modulus function can be represented as |x|, where x is the input.

For example, if x = -3, then |x| = 3, and if x = 5, then |x| = 5.

In class 11, the domain of the modulus function is all real numbers, which is represented by (-∞, +∞) and the range is non-negative real numbers represented by [0, +∞)

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Answer: Mei had $21.25

Step-by-step explanation: if you add $12 to $9.25 you get $21.25

Answer:

The money she had in the beginning was $21.25

Step-by-step explanation:

Given ,

The cost of the ticket Mei spent = $12.00

Money remaining = $9.25

To Find : The Money she had in the beginning

When we add the given values we get the money she had in the beginning

which is,

Amount = Amount Spent on a Ticket + Money Remaining

Amount = [tex]$12.00 + 9.25[/tex]

Amount = [tex]21.25[/tex]

Hence ,  the amount she had in the beginning was $21.25

Using trigonometric ratios,  tree is leaning 106.1°-90° = 16.1° away from the vertical.

Pythagorean identities, reciprocal identities, sum and difference identities, double angle and half-angle identities are the main trigonometric identities. We must apply the sine rule and the cosine rule to the non-right-angled triangles.

6² = 3.5²+4² -2(3.5) (4) cos θ

36 = 12.2.5+16 - 28 cos θ

36 = 28.25 - 28 cos θ

7.75 = -28cos θ

7.75 / 28 = cos θ

Cos⁻¹ (7.75/28) = θ

106.1°=θ

So, the tree is leaning 106.1°-90° = 16.1° away from the vertical

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Answer:

  ∠MAR = 28

Step-by-step explanation:

Given angle MAR bisected by ray AT to form angle MAT = (6x-4) and RAT = (2x+8), you want to know the measure of MAR.

An angle bisector divides an angle into two congruent parts:

  ∠MAT = ∠RAT

  6x -4 = 2x +8

  4x = 12 . . . . . . . . add 4-2x

  x = 3 . . . . . . . divide by 4

Then the measure of one of the halves is ...

  ∠RAT = 2x +8 = 2·3 +8 = 14

So, the measure of the whole is ...

  ∠MAR = 2·14

  ∠MAR = 28

On solving the provided question, we can say that by trigonometry so sin 90 = p/h => y = 19

The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures

here,

it is a right angled triangle

by trigonometry

so sin 90 = p/h

1 = 19/y

y = 19

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