Multiply.
(2y+5) (5y + 7)
Simplify your answer

Answer:

y int = -12

vertex = (-4,4)

Axis of Symmetry = x = -4

It has a Maximum

Opens up

Step-by-step explanation:

[tex] \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Volume of a rectangular prism is ~

[tex] \sf{Volume_{cuboid}= Length × Width × Height} [/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) [/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40[/tex]

So, the correct choice is B

Answer:

y = x + -5

Step-by-step explanation:

Solution

To complete the equation, let's take two different points and plug their x- and y-coordinates into the equation. Then, we can solve for the question mark and see if we get the same number. I'll take (1, -4) and (2, -3):

(1, -4):

(2, -3):

Thus, the equation is y = x + (-5).

Answer:

78125

Step-by-step explanation:

The probability that each person gets off on a different floor is; 3/32

We are told that there are 4 people on the elevator. We are also told that there are four stops on four different floors. Thus;

Total number of ways to get off on the floors = 4 * 4 * 4 * 4 = 256 ways

Now, the number of ways that each person can get off on a different floor is 4! = 24. Thus, the probability that each person gets off on a different floor is;

P(each person gets off on a different floor) = 24/256 = 3/32

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We conclude that the distance between the home plate and the second base is 107.48 feet.

We know that the distance will be equal to the diagonal of the square. Remember that for  a square of side length S, the diagonal is:

D = S*√2

In this case, the side length is S = 76ft, then the diagonal is:

D = 76ft*√2 = 107.48ft

From this, we conclude that the distance between the home plate and the second base is 107.48 feet.

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Answer:

It's AAS congruent theorem.

Answer:

[tex]\huge\boxed{\sf AAS\ postulate}[/tex]

Step-by-step explanation:

The two triangles have:

So, 2 angles and 1 side congruency makes it AAS postulate (Angle-Angle-Side).

[tex]\rule[225]{225}{2}[/tex]

Answer :

[tex] \: [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}= (7) {}^{2} + (8 {)}^{2} }}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=49 +64}}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=113 }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x= \sqrt{113} }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x \approx10.63 }}} \\ [/tex]

Therefore,

Answer:

1/2 < 3/5 < 2/3 < 5/6

Step-by-step explanation:

Using the given inputs:

1/2 5/6 2/3 3/5

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

1/2 5/6 2/3 3/5

15/30 25/30 20/30 18/30

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/2 3/5 2/3 5/6

15/30 < 18/30 < 20/30 < 25/30

Therefore, the sorted inputs in order from least to greatest is:

1/2 < 3/5 < 2/3 < 5/6

Answer:

63

Step-by-step explanation:

score 75 is one standard dev below the mean ====>to the mean  encompasses approx 34% of scores

.34 * 186 = 63

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

n ≤ − 2

Answer:

Part A: (2x−5)(x+2)

Part B: (5/2,0) and (-2,0)

Part C: The graph of f(x) has both "ends" of the graph pointing upward. You can describe this as heading toward infinity.

Part D: To graph function we can use x-intercepts and "ends" to sketch.In order to graph better use one more point of parabola that you can find as the average of x-intercepts: (-2+5/2)/2 =1/4.This is just x coordinate and you need to plug in 1/4 in the f(x) and find y coordinate -10 1/8. You can use y-intercept (0,-10) as well to graph.

Step-by-step explanation:

2x^2-3x-5=y

(2x-5)(x+1)=y

(2x-5)(x+1)=0

2x-5=0

2x=5

x=2.5

x+1=0

x=-1

you have an even degree (2) and a positive coefficient (2)

therefore as x---> -∞, f(x)----> +∞

also, as x----> +∞, f(x)----> +∞

also notice that this is a parabola that opens upwards so both "ends" approach positive infinity

plot the x-intercepts, find the vertex using h=-b/2a and substituting this value into the equation to find k and make a table of values to graph the parabola unless you only want a rough sketch of the graph-you know the x-intercepts and you found the vertex using h=-b/2a

Step-by-step explanation:

Answer: hes right

Step-by-step explanation: i took the test

Answer:

19/20

Step-by-step explanation:

380÷ 20= 19

400÷20= 20

Answer:

1457.7 cubic ft

Step-by-step explanation:

Volume of a cylinder= πr²h

where, r = radius = 8/2 = 4 ft

h = 29

Volume=  π × 4² × 29 = 1457.7 cubic ft

[tex]\rule{300}{1}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]

      A cylinder has a base of 8 feet and a height of 29 ft. What is its volume

in cubic feet (ft³)?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

We are asked to find the volume of a cylinder, which can be found using the following formula:-

    [tex]\hookrightarrow\boxed{\bold{V=\pi r^2h}}[/tex]

Where:-

Provided Information:-

Solving for Volume:-

        ✳︎ [tex]\sf{V=\pi (4)^2(29)}[/tex]

On simplification,

    ✳︎ [tex]\sf{V=\pi (16)(29)}[/tex]

On further simplification,

   ✳︎ [tex]\sf{V=464\pi }[/tex]

Final step:-

✳︎ [tex]\sf{V\approx1,457.7\:ft^3}[/tex]

So we conclude that the volume of the given cylinder is

[tex]\ast[/tex] [tex]\sf{V\approx{1,457.7\:ft^3}}}[/tex]

[tex]\rule{300}{1}[/tex]

Check the picture below, the assumption being that the 6ft line is perpendicular to the 18ft line and thus making a right-triangle.

now, if we just get the whole area of the containing parallelogram and then get the area of the triangle and subtract it from that of the parallelogram's, what's leftover is the area we didn't subtract, the shadead area.

[tex]\stackrel{ \textit{\LARGE Areas}}{\stackrel{parallelogram}{(18)(10)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(18)(6)}}\implies 180~~ - ~~54\implies 126[/tex]

Answer:

Certain and likely.

Answer:

you can approximate it to 61°

What percent of students prefer aerobic excersize: 53%

88+69 /350= 0.5257 x 100

52.57 round up 53

53%

Answer:

See below ~

Step-by-step explanation:

Solving for F

Finding F when K = 310.15 K

Answer:

$2756.01  to the nearest cent.

Step-by-step explanation:

A = P(1 + r)^t     where A is the amount after t years, P = amount invested, r = rate as a decimal fraction.

So here, we have:

A = 1500(1 + 0.052)^12

= 1500 * 1.837337

= $2756.01

Answer:

∠ 1 = 36° , ∠ 2 = 144°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180° , that is

x + 12 + 6x = 180

7x + 12 = 180 ( subtract 12 from both sides )

7x = 168 ( divide both sides by 7 )

x = 24

Then

∠ 1 = x + 12 = 24 + 12 = 36°

∠ 2 = 6x = 6 × 24 = 144°

Let's apply BPT theorem(Not necessary we can apply common ratios and similarities)

Put values

Option B

Let's solve it out

Answer:

Step-by-step explanation:

Solving :

Q1

Q2

Q3

Best examples

Boyles law

Current with resistance

Resistance with length of wire

Pressure with area

Step-by-step explanation:

6) The sum of the length of any two sides of a triangle is always equal to the third side.

Option C 3,4,7

7) The sum of the length of any two sides of a triangle is always equal to the third side.

Option B 5 units

8) The sum of the length of any two sides of a triangle is always equal to the third side.

Option D 13 units

9) The sum of the length of any two sides of a triangle is always equal to the third side.

Option A 5<x<13

Answer:

x = -2/7

Step-by-step explanation:

The excluded values of the given expression are all the values of x that will make the denominator (7x + 2) = 0. This is because you cannot divide by 0...at least in algebra.

1. 7x + 2 = 0

7x = -2

x = -2/7

Therefore, x = -2/7 is the excluded value.

Answer:

3rd option

Step-by-step explanation:

[tex]\frac{14x}{7x+2}[/tex]

the denominator cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the value that x cannot be.

7x + 2 = 0 ( subtract 2 from both sides )

7x = - 2 ( divide both sides by 7 )

x = - [tex]\frac{2}{7}[/tex] ← excluded value