The next number in the sequence -5, -2, 4, 13 is 25. Is this conjecture true or false?

Answer:

Answer: The value of x is 15 units. Step-by-step explanation: In the given triangle RSQ and ΔRST it is given that. ∠RTS ≅ ∠SRQ ≅ 90°.

Step-by-step explanation:

Answer:

20 units

Step-by-step explanation:

I got it wrong with 15 for the cumulative exam on EDGE 2020/2021

Answer:

180 people

Step-by-step explanation:

If there are 5 people for each table and there are 36 tables, so then you would need to multiply 36 by 5, because you wouldn't want to add 5 people 36 times lol, so then when you multiply them together, you would get 180 people in total in the restaurant. :-)

hope this helped! ♡

Answer:

$1.10

Step-by-step explanation:

We have been that Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change.

First of all, we will find amount paid for 5 avocados by subtracting $4.50 from $10.

[tex]\text{Amount paid for 5 avocados}=\$10-\$4.50[/tex]

[tex]\text{Amount paid for 5 avocados}=\$5.50[/tex]

Now, we will divide $5.50 by 5 to find cost of each avocado.

[tex]\text{Cost of each avocado}=\frac{\$5.50}{5}[/tex]

[tex]\text{Cost of each avocado}=\$1.10[/tex]

Therefore, the cost of each avocado is $1.10.

Answer: 147

Step-by-step explanation:

First, 9 x 4 = 36

Again, 9 x 4 = 36

Finally 15 x 5 = 75

So, 36 + 36 + 75 = 147

Answer:

37:103

Step-by-step explanation:

First, you have to identify how many people preferred the Bucaneers. That would be 74.

Secondly, you have to figure out the total number of responses. To do this, you add up ALL of the responses. They key word TOTAL is telling you this.

Thirdly, you write it as a ratio. This can be with the two numbers side by side, a fraction, or in a written response.

Lastly, you simplify your final answer.

Hope this helped!

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]3.15.\frac{1}{15}\\\\3.\frac{15}{15}\\\\3.1\\\\3[/tex]

Answer: 40

Step-by-step explanation: You need to divide first because of the order of operations. This gives you 36+2+2, which is 40

Answer:

The correct answer is 40

Step-by-step explanation:

When solving use PEMDAS

"Please excuse my dear aunt sally"

there are no parentheses or exponents so look for and multiplication or  division and you see that there is division so solve:

6÷3 = 2

Then look for addition or subtraction and solve:

36+2+2=40

the answer is 40.

Have a blessed day.

Answer:

-42+10i

Step-by-step explanation:

*start with the square roots

\sqrt{-25} \\ =5i

\sqrt{-100} \\ = 10i

*then insert values

(2+5i)(4-10i)

*Use FOIL to multiply

2x4 + 2x-10i + 5ix4 + 5ix10i

*Simplify

8-10i+20i+50i(squared)

*Add like terms

-42+10i

*( i squared = -1 )

Value of expression at x = -3 is 28.

All the mathematical equations which have any variable and constant in them are linear equations where variables are not fixed.

Given expression -2(3x-2)+x+9 at x=-3

simplify equation

-6x+4+x+9  = -5x+13

substitute x= -3

-5(-3)+13 = 15+13= 28

Hence the value at x= -3 is 28

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Answer:

perp. 2

y + 1 = 2(x - 3)

y + 1 = 2x - 6

y = 2x - 7

Answer:

m/3

Step-by-step explanation:

lets say they earn $600

we will use the variable m

m=money

so....

m/3

is your answer

Answer:

Step-by-step explanation:

Given two parametric equations [tex]x(t)[/tex] and [tex]y(t)[/tex], the first derivative can be found using the following equation:

[tex]\frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]

In this problem, [tex]x(t) = 3e[/tex] and [tex]y(t) = 3^{3t} - 1[/tex]. Finding the derivative of each of these functions with respect to [tex]t[/tex] gives us the following:

[tex]\frac{dx}{dt} = 0[/tex]

[tex]\frac{dy}{dt} = 3^{3t + 1}\log{3}[/tex]

Because [tex]\frac{dx}{dt} = 0[/tex], that means the function is a vertical line and has an infinite first derivative.

Final answer:

The first derivative of the x-component is zero, and the first derivative of the y-component is 27. The second derivatives of both components are zero.

Explanation:

To find the first and second derivatives of the function defined by the parametric equation, we need to differentiate each component with respect to the parameter (in this case, t). Let's start with x = 3e, which is a constant, so its derivative is zero. Next, let's differentiate y = 3^3t - 1. The derivative of 3^3t with respect to t is (3^3)(1) = 27, and since the derivative of -1 with respect to t is 0, the y-component's derivative is 27.

Now, to find the second derivative, we differentiate the derivatives we found. The second derivative of x is still zero since the first derivative is zero. The second derivative of y (27) is also zero since it is a constant. Therefore, the first and second derivatives of the parametric equation are dx/dt = 0 and dy/dt = 27, respectively.

Answer:

21 = n

Step-by-step explanation:

[tex]5 - \frac{1}{3}n = -2[/tex]

-5 - 5

________________

-⅓n = -7

____ __

-⅓ -⅓

21 = n

* Dividing by a fraction is the exact same as multiplying by its multiplicative inverse:

[tex]\frac{-7}{-\frac{1}{3}} = -7 \times -3 = 21[/tex]

I am joyous to assist you anytime.

Based on Kendra's random selection of 1,000 ninth graders in Florida and finding their average height to be 65 inches, we can make the assumption that the approximate average height of all ninth-grade students in Florida is close to 65 inches.

We have,

The assumption is based on the principle of random sampling, where a representative sample from a larger population can provide valuable insights into the characteristics of the entire population.

By randomly selecting 1,000 ninth graders, Kendra aimed to ensure that the group accurately represents all ninth-grade students in Florida.

While there might be some variation or margin of error, the average height of the sampled group can provide a reasonable estimate of the average height of all ninth-grade students in Florida.

Therefore,

Based on the random sample, we can assume that the approximate average height of all ninth-grade students in Florida is around 65 inches.

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Answer:

y = 1.862x − 0.138

Step-by-step explanation:

The equation of the least squares regression line is ŷ = -173.51 + 4.83x.

The equation of the least squares regression line for a data set is represented as ŷ = a + bx, where a is the y-intercept and b is the slope of the line. To calculate the values of a and b, you minimize the sum of squared errors (SSE). Using calculus, you can determine the values that make SSE a minimum. In this case, the equation of the least squares regression line is ŷ = -173.51 + 4.83x.

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1.8

to find the circumference of a circle you have to multiple the diameter by pi (3.14). so if you have the circumference already just switch around the equation (since you don’t know the diameter) to 10.99 divided by 3.14 to find the diameter and you get 3.5. but thats the diameter and you have to find the radius so divide 3.5 by two and you get 1.75 and 1.75 rounded to the nearest tenths is 1.8

Answer is provided in the image attached.

Answer:

Where's the table and graph?

Answer:

Step-by-step explanation:

[tex]g(x) = 3x^{2} - 5x + 5[/tex]

[tex]g(2) = 3(2^{2}) - 5(2) + 5[/tex]

[tex]g(2) = 3(4) - 10 + 5[/tex]

[tex]g(2) = 12 - 10 + 5[/tex]

[tex]g(2) = 7[/tex]

Answer:

75

Step-by-step explanation:

Answer:75

Step-by-step explanation:

1/5=.2

15/.2=75

Answer:

3 3/4 mls ink.

Step-by-step explanation:

2/3 of a box  corresponds to 2 1/2 mls of ink

So one box .............................. 2 1/2 / 2/3 = 5/2 / 2/3

= 5/2 * 3/2

= 15 / 4

=  3 3/4 mls ink.

It would take approximately 3.75 milliliters of ink to print off an entire box of paper. This is based on the given that 2.5 milliliters prints off 2/3 of a box and the conversion to a full box.

The question is asking about the amount of ink it will take to print an entire box of paper. We are given that a printer cartridge with 2.5 milliliters of ink will print off 2⁄3 of a box of paper. So, if 2.5 ml prints 2⁄3 of a box, we want to find out how much ink prints 1 full box. This is a simple ratio question.

Set up the ratios like this: 2.5 ml (ink) / (2⁄3 box) = X ml (ink) / (1 box) Simplifying this, you find that X = 2.5 ml / 2⁄3, which, when calculated, equals approximately 3.75 ml. This means it will take approximately 3.75 milliliters of ink to print off an entire box of paper.

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Answer:

C

Step-by-step explanation:

EFGH is a kite, so EF ≅ FG and EH ≅ HG.

The area of the kite consists of two area of triangles EFG and EHG.

1. Area of triangle EFG:

[tex]A_{\trangle EFG}=\dfrac{1}{2}\cdot EG\cdot h,[/tex]

where h is the height drawn from point F to the side EG.

1. Area of triangle EHG:

[tex]A_{\trangle EHG}=\dfrac{1}{2}\cdot EG\cdot H,[/tex]

where H is the height drawn from point H to the side EG.

3. Note that

[tex]EG \cong \text{rectangle's length}[/tex]

[tex]h+H\cong \text{rectangle's width}[/tex]

So,

[tex]A_{\text{kite }EFGH}\\ \\=A_{\triangle EFG}+A_{\triangle EHG}\\ \\=\dfrac{1}{2}\cdot EG\cdot (h+H)\\ \\=\dfrac{1}{2}\cdot \text{rectangle's length}\cdot \text{rectangle's width}\\ \\=\dfrac{1}{2}A_{\text{rectangle}}[/tex]

Thus, option C is true (the area of the kite doesn't depend on ratio in which points E and G divide the side)

Answer:

C.) The area of EFGH is always 1/2 of the area of the rectangle.

Step-by-step explanation:

Answer:

Wrong

Step-by-step explanation:

Since 54 / 12 is 4.5

Answer:

Step-by-step explanation:

the answer is b

Slope = -6/5

Work is provided in the image attached.

The slope of the line passing through the given points is -6/5.

The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1).

In this case, the coordinates of the two points are (-8, -6) and (-18, 6). Applying the formula, we have: m = (6 - (-6)) / (-18 - (-8)) = 12 / (-10) = -6/5.

Therefore, the slope of the line that passes through the points (-8, -6) and (-18, 6) is -6/5.

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Answer:

vertex = (4, - 25 )

Step-by-step explanation:

Given a quadratic function in standard form : f(x) = ax² + bx + c : a ≠ 0

The the x- coordinate of the vertex is

[tex]x_{V}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² - 8x - 9 ← is in standard form

with a = 1, b = - 8, thus

[tex]x_{V}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4

Substitute x = 4 into f(x) for corresponding value of y

f(4) = 4² - 8(4) - 9 = 16 - 32 - 9 = - 25

vertex = (4, - 25 )

Answer:

vertex is (4,-25)

Step-by-step explanation:

[tex]f(x) = x^2 - 8x - 9[/tex]

To find out the vertex we use formula

[tex]x=\frac{-b}{2a}[/tex]

From the given f(x), the value of a=1, b=-8 and c=-9

Plug in the values in the formula

[tex]x=\frac{-(-8)}{2(1)}[/tex]

x=4

Now find the value of y

plug in 4 for x in f(x)

[tex]f(4) = 4^2 - 8(4)- 9=-25[/tex]

The value of y is -25

The vertex is (4,-25)

Use the point-slope formula.

y - y_1 = m(x - x_1)

y - 4 = (-2/3)(x + 6)

y - 4 = (-2/3)x - 4

y = (-2/3)x - 4 + 4

y = (-2/3)x + 0

y = (-2/3)x

Slope = -2/3

y-intercept = 0, which means the x-axis.

D,the quadratic function turning point is (-2,-1) while the other graphs change direction at (-2,3)

Step-by-step explanation:

The point where the graph of a quadratic function changes direction is called a turning point.This is the point where the curve changes to face up or down according to the function.The functions in A,B and C have a common turning point (-2,3) that also appears in the table.The function in D has a turning point at (-2,-1) that is different from the other three functions.

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Answer:

answer to question a is -14

answer to question b is 10

answer to question c is -56

answer to question d is -18

Step-by-step explanation:

Answer:

The answer to your question is below

Step-by-step explanation:

Absolute value of  a number, is the value without considering its sign. For example, when we measure distance, we do not say -50 meters, we say "50 meters" because for distance, do not exist negative values.

(A) What is the absolute value of |-10 + -4|

                        | - 10 + -4|  = | - 10 - 4| = | - 14 | = 14

(B) what is the absolute value of |5+2|

                        | 5 + 2 | = |7| = 7

(C) what is the absolute value of |--8.7|

                           | - - 8.7 | = | 8.7 | = 8.7

(D) what is the absolute value of -|-9.2|

                         - | - 9.2 | = - 9.2

Answer:

$342.63

Step-by-step explanation:

0.19 * 423 = 80.37

423 - 80.37 = 342.63