Find the volume and round to the nearest hundredths place when necessary.

Answer:

initial amount is 130

decaying at 55%

Step-by-step explanation:

Answer:

m = 8

Step-by-step explanation:

Expand the left side

Each term in the second factor is multiplied by each term in the first factor

7a²(4a² - 1) + 2a(4a² - 1) - 3(4a² - 1) ← distribute parenthesis

= 28[tex]a^{4}[/tex] - 7a² + 8a³ - 2a - 12a² + 3 ← collect like terms

= 28[tex]a^{4}[/tex] + 8a³ - 19a² - 2a + 3

Comparing the coefficients of like terms with those on the right , then

m = 8

The value of 8(x + 7) is 8x + 56.

The value of 6(11 + x) is 66 + 6x.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distributive property of  multiplication over addition states that,

a x (b + c) = a x b + a x c

Now,

8 x (x + 7)

= 8 x (x) + 8 x 7

= 8x + 56

6 (11 + x)

= 6 x 11 + 6 x (x)

= 66 + 6x

Thus,

The value is 8x + 56 and 66 + 6x.

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On solving the provided question, we can say that the spherical balloon's initial radius is 7 cm.; the final radius is 14 cm. ratio =  (7/14) ^2 = 1:4

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.

The spherical balloon's initial radius is 7 cm.

The final radius is 14 cm.

ratio =

(7/14) ^2 = 1:4

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Step-by-step explanation:

13x-3= 3x+2 +55 (exterior angle is equal to the sum of 2 opposite interior angles)

or, 13x-3x=57+3

or,10x=60

x=60/10

x=6

FAB =13x-3

=13*6-3

=75

Answer:

slope = (3/2)

Step-by-step explanation:

point 1: (-1, 1); Point 2: (1, 4)

            (x₁, y₁)              (x₂, y₂)

y₂ - y₁         4 - 1            3            3

----------- = ------------ = --------- = -------

x₂ - x₁          1 - (-1)       1 + 1          2

I hope this helps!

Answer:

the answer is B

Step-by-step explanation:

Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.

When we add two of the same number, we add using the “doubles fact”. For example, 1 + 1 and 2 + 2 are both doubles facts. Look at the example below: 4 + 4 = 8 is a doubles fact. Doubles fact can help us know other additional strategies like doubles plus one

A double is a number or an amount that is twice as large as the given number or amount. So, if we multiply a number by 2 or if we add a number to itself we say that the number is doubled

The sum of 7 + 7 can be determined by using doubles plus one fact as:

Simply add 1 in 7 + 7 to get the result required.

Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.

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Answer:

a- 10x^2 - 4x + 12

b- no, the first equation is −1/4⋅(5x^2+6x−24) and the second is -1/4⋅(10x^2+7x-24)

Step-by-step explanation:

m6th w6y

BRAINLIEST??

Answer:

31.4cm

Step-by-step explanation:

Formula for circumference of a circle:

[tex]C = 2\pi r[/tex]

The radius of a circle is half of the diameter:

10/2 = 5

Plug in the values using 3.14 for pi:

C = 2(3.14)(5)

C = 31.4cm

Answer:

D. 70.39

Step-by-step explanation:

This is not a good question, but I will show you how to get the answer I chose.

Area = (pi)(r)^2

394.38 = (3.14)(r)^2

divide both sides by 3.14

125.598726 = r^2

take the square root of both sides

r = 11.207083...

rounded is 11.21

---------------------------

Circumference = (2)(pi)(r)

C = (2)(3.14)(11.207083)

C = 70.38

----------------------------------------

Here's why it's a bad question:

If the diameter is 10, the radius is half of that, = 5

Area = (pi)(r)^2

Area = (3.14)(5)^2

A = (3.14)(25)

A = 78.5

So the question says the diameter is 10, but if that's true, the area cannot be 394.38

Also, the circumference can be calculated as (pi)(diameter), so 3.14 x 10 = 31.40, which is not an answer option.

IM pretty sure its B.

Answer:

Q1 is Seth will have 10 more cards than Matt

Q2 is Chart B

Step-by-step explanation:

First let's find the equation of the lines and chart so we can extend the graph.

Seth's chart has the equation y = x × 4

Matt's graph has the equation y = x × 2 + 20

The extended graphs can be seen below in an attachment. If you want to make these graphs yourself, I suggest Desmos

So on week 15, Seth has 60 and Matt has 50

Find the difference by subtracting

60 - 50 = 10

The final answer is Seth will have 10 more cards than Matt

                                                        Question 2

A linear relationship is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

Now we need to find the equations of the lines and graph them.

I have found the equations of the line and graphed them which can be seen in an attachment below.

We need to find the that follows the correct equation y = mx + b.

This would be answer B.

Hope this helps!!

he is going to pay $3 for the small one

for the large one we have that it is 5 times ithe price of the small one so w gotta multiply 3 by 5 which gives us 15 dollars we add them 15+3=18 so he gotta pay $18 for both the small one and the large one

A statement which correctly describes the solution set of the given inequality include the following: C. all rational-number values of n that are at least 0.5.

In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.

Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;

5n + 1.5 ≥ 4

Subtracting 1.5 from both sides of the algebraic inequality, we have:

5n + 1.5 - 1.5 ≥ 4 - 1.5

5n ≥ 2.5

Dividing both sides of the algebraic inequality y 5, we have:

n ≥ 2.5/5

n ≥ 0.5

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Answer:

(-1) & 4/3

Step-by-step explanation:

           3x² - x - 4

Sum = -1

Product = 3*(-4) = -12

Factors = -4 and 3       { (-4)*3 = -12 & (-4) + 3 = -1}

3x² - x - 4 = 3x² + 3x - 4x -4 {Rewrite the middle term using the factors}

               = 3x(x + 1) -4(x + 1)

               =(x + 1)(3x - 4)

x + 1 = 0   ;  3x - 4 = 0

     x = -1  ;          3x = 4

                            x = 4/3

[tex]\sf Zeroes \ of \ the \ polynomial \ are \ (-1) \ and \ \dfrac{4}{3}[/tex]

Verification:

         [tex]\sf 3x^2 - x - 4 = 0\\\\Divide \ the \ entire \ equation \ by \ 3\\\\\\\dfrac{3x^2}{3}-\dfrac{x}{3}-\dfrac{4}{3}=0\\x^2 - \dfrac{x}{3}-\dfrac{4}{3}=0[/tex]

       Coefficient of x = sum of the zeroes

                                  [tex]\sf = -1 + \dfrac{4}{3}\\\\=\dfrac{-3}{3}+\dfrac{4}{3}\\\\=\dfrac{1}{3}\\\\[/tex]

Constant = product of the zeroes

               [tex]\sf = (-1)*\dfrac{4}{3}\\\\=\dfrac{-4}{3}[/tex]

Thus verified.

un millon cincuenta y tres mil quinientos siete

Answer:

Statement 1) Corresponding angles

Statement 2) Congruent

Statement 3) 150 degrees

Statement 4) Vertical Angles

Statement 5) Congruent

Statement 6) 150 degrees

Statement 7) Alternate exterior angles

Statement 8) Congruent

Statement 9) Alternate Interior angles are congruent

Step-by-step explanation:

Explanation:

1) I've learned this before

2) Not all Corresponding angles are obtuse

3) Corresponding angles have the same measure

4) I've learned this before

5) Vertical Angles are congruent

6) Same reason as before

7) I've learned this before

8) Alternate Interior angles are congruent

9) I've learned this before

Please mark me the brainliest! Thank you!

Answer:

Step-by-step explanation:

from the graph we konw the ∠ABD=∠DBC, because ∠DBC=20, so ∠ABD=20

Answer:

X= 18

Step-by-step explanation:

24/4=6 x 3= 18

Answer:

x=18

Step-by-step explanation:

3/4=x/24

3×24=4×x

72=4x

x=72/4

x=18

Answer:

Pick the yellow one. It's hard to read what's written but the yellow is the closest to what I would have written myself.

Answer:

The union of the intervals is (0,8]

The intersection of the intervals is [1,5]

Hope this helped!

Answer:

18.2%

Step-by-step explanation:

Given data

Principal=  $2500

Final amount= $3600

Time = 2 years

Rate=???

The expression for the rate is given as

r= ln(A/P)/t

substitute

r= ln(2500/3600)/2

r= ln(0.6944)/2

r= -0.364/2

r= 0.182

Hence the rate is 18.2%

Answer:

y + 2 = (4/5)(x - 2)

Step-by-step explanation:

Two dots on the line are shown:  (-3, -6) and (2, -2).

As we move from the first to the second, x (the 'run') increases by 5 and y (the rise) increases by 4.  Thus, the slope of this line is m = rise / run = 4/5.

Using the point-slope formula y - k = m(x - h), we get:

y + 2 = (4/5)(x - 2)

Answer:

D) I’m 100% sure it’s correct!

Step-by-step explanation:

The X-intercept is the point where the line crosses the x-axis. This happens where the Y is equals to zero.

The point slope form of a line is an equation of the line that takes on the form y - y1 = m(x - x1). In this equation, m is the slope of the line, and (x1, y1) is a point on the line. The x-intercept of a line is the x-coordinate of the point where the line crosses the x-axis. This always happens at the point where y is equal to 0. Therefore, we find the x-intercept of a line in point-slope form by plugging y = 0 into the equation and then solving for x. The point-slope formula is composed of a specific point of coordinates and a slope indicating a type of change over a given variable, such as distance over time. It is said to be as the x-coordinate of a point where a line, curve, or surface intersects the x-axis.

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Answer:

A and C or 2-6 and 4-3

Step-by-step explanation:

Answer:

A.

[tex] SA= \frac{2}{3} \pi rl+16 \pi r^2[/tex]

Step-by-step explanation:

Surface area of the original cone

[tex] SA= \pi r l + \pi r^2... (1)[/tex]

When, radius is quadrupled and slant height is reduced to one sixth

[tex] i. e. \: \:r = 4r\: \: \&\:\: l= \frac{1}{6}l[/tex]

Plug the above values of r and [tex] l[/tex] in equation (1), new surface area becomes:

[tex] SA= \pi (4r)\times \frac{1}{6} l+ \pi (4r)^2[/tex]

[tex] SA= \frac{4}{6} \pi rl+16 \pi r^2[/tex]

[tex]\huge \purple {\boxed {SA= \frac{2}{3} \pi rl+16 \pi r^2}} [/tex]

Answer:

n = - 1 , n = 3

Step-by-step explanation:

n² - 2n - 3 = 0 ( add 3 to both sides )

n² - 2n = 3

to complete the square

add ( half the coefficient of the x- term)² to bpth sides

n² + 2(- 1)n + 1 = 3 + 1

(n - 1)² = 4 ( take square root of both sides )

n - 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 1 to both sides )

n = 1 ± 2

Then

n = 1 - 2 = - 1

n = 1 + 2 = 3

Answer:

B. exponential

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

In a right triangle, the hypotenuse is the longest side, the "opposite" side is the one that faces a particular angle, and the "adjacent" side is the one that faces that angle.

Step 1: Simplify both sides of the equation.

[tex]$$4 g-6=8$$\\Step 2: Add 6 to both sides.$$\begin{aligned}& 4 g-6+6=8+6 \\& 4 g=14\end{aligned}$\\$Step 3: Divide both sides by 4 .$$\begin{aligned}& \frac{4 g}{4}=\frac{14}{4} \\& g=\frac{7}{2}\end{aligned}$$[/tex]

[tex]$g=3 \frac{1}{2}$[/tex]

Therefore, the correct answer is option a)[tex]$g=\frac{7}{2}$[/tex].

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