A picture is 10 inches by 14inches. The frame measures 2 inches longer and wider than the painting. What is the area of the frame?

Answer:

$4,014.68

Step-by-step explanation:

A = $4,014.68

A = P + I where

P (principal) = $3,000.00

I (interest) = $1,014.68

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 3,000.00(1 + 0.06/1)^(1)(5)

A = 3,000.00(1 + 0.06)^(5)

A = $4,014.68

Answer:

the ratio for the 12 sunfish and the 30 rainbow shiners is 12:30

Step-by-step explanation:

umm i think

[tex]12b^2\sqrt[3]{2a}[/tex]

In word form, this is 12 b squared (RootIndex 3 StartRoot 2 a EndRoot

Or you could say 12b^2 times the cube root of 2a

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

Work Shown:

[tex]3b^2\sqrt[3]{54a}+3\sqrt[3]{2ab^6}\\\\3b^2\sqrt[3]{27*2a}+3\sqrt[3]{b^6*2a}\\\\3b^2\sqrt[3]{(3)^3*2a}+3\sqrt[3]{(b^2)^3*2a}\\\\3b^2\sqrt[3]{(3)^3}*\sqrt[3]{2a}+3\sqrt[3]{(b^2)^3}*\sqrt[3]{2a}\\\\3b^2*3*\sqrt[3]{2a}+3*b^2*\sqrt[3]{2a}\\\\9b^2\sqrt[3]{2a}+3b^2\sqrt[3]{2a}\\\\(9b^2+3b^2)\sqrt[3]{2a}\\\\\boldsymbol{12b^2\sqrt[3]{2a}}\\\\[/tex]

The idea here is that we break the cube roots into smaller pieces, so we pull out perfect cubes when factoring.

The sum of the expression is 12 b squared (Root Index 6 Start Root 2 a End Root) or 12b²∛(2a).

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We have the expression,

3 b squared (Root Index 3 Start Root 54 a End Root) + 3 (Root Index 3 Start Root 2 a b Superscript 6 Baseline End Root).

In numerical form,

3b²∛(54a) + 3∛(2ab⁶)

To find the sum of the above expression:

we simplify the expression,

3b²∛(54a) + 3∛(2ab⁶)

= 3b²∛3³(2a) + 3∛(2a)(b²)³

= 9b²∛(2a) + 3b²∛(2a)

= 12b²∛(2a)

Therefore, the sum is 12b²∛(2a).

To learn more about the expression;

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There are 6939.56 days in 19 lunar calendar new years with an extra month added in seven times.

"A lunar year is 12 lunar months, so 19 of these would be 228 lunar months. With the 7 extra months, the total period would be 235 lunar months of 29.530589 days each and is 6939.69 days.

We will notice that this is almost the same as 19 solar years of 365.24 days, which is 6939.56 days.

Now, you are referring to the Hebrew Calendar, a 19-year period that consists of 12 years of 12 months plus 7 years of 13 months,

Therefore,  19 years is the period after which the Hebrew and solar calendar dates will match up."

To know more about lunar calendar visit :

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What is the average weight of the adult elephants in the exhibit? This is the correct statistical question.

Statistical question is that type of question which have more than one possible answers.

The answer of statistical question is the collection of various  points of data.

The answer of statistical question depends on variety and situations.

The answer of statistical question may be range . Answer of statistical question are more than one.

What is the average weight of the adult elephants in the exhibit?

This is the correct statistical question.

Learn more about statistical question;

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Answer:

33.5 in^3

Step-by-step explanation:

The formula for a cone is (pi)(r^2)(h/3)

Since we need to use 3.14 for pi, we will plug in 3.14 for pi. It should look like this:  (3.14)(r^2)(h/3)

The radius is 2 and the height is 8. Plug in the numbers:

(3.14)(2^2)(8/3)

Simplify:

(3.14)(4)(2.66...)

Multiply:

(12.56)(2.66...) -> 39.4933...

Finally, 39.4933... is rounded to the tenths place:

39.5

Hope this helps :)

Answer:

$1,679.62

Step-by-step explanation:

129.60*12=$1,555.20

You then do 1,555.2*.08, and get:124.416

You then add the 2 together to find the amount needed to be paid back.

Answer:

the answer is a

Step-by-step explanation:

i literaly just tookthetest on edginuity

Answer:

a = 9

Step-by-step explanation:

First we substitute 1 into the quadratic equation :

(x+2)² = a

(1+2)² = a

(3)² = a

3×3 = a

a = 9

Hope you understood, hope this helped and brainliest please.

Answer:

9x3 + 3x2 + 35

x2

Step-by-step explanation:

I hope this helped u

Answer:

7x3 = 21

Step-by-step explanation:

It's simple math. One week is 7 days. So just multiply 7x3 and then that's equaled to 21.

First, we need to follow the circumference of a circle formula, which is [tex]C = 2 \pi r[/tex]. Since we know the radius, we can plug 11 for the radius and 3.14 for pi.

The equation should now look like this: [tex]C = 2 * 3.14 *11[/tex]. Then, we multiply. After solving, the circumference of the circle is 69.08 centimeters.

z = 7, z = -7

z² = 49

Take the square root of both sides to find what z equals

z = 7

Is that the only solution? Is 7 the only number that can be multiplied by itself and have a result of 49? No, there's another number. This number is -7.

7, -7

hope helpful ~

Answer:

2000 times

Step-by-step explanation:

I'm assuming you mean 4*10^3 and 8*10^6.

8*10^6/(4*10^3)

=(8/4)*(10^6/10^3)

=2*(10^3)

=2*1000

=2000 times

Answer:

m<7

m is greater than 7, i hope that helps

Answer:

m<7

Step-by-step explanation:

-5+20m+3<18m+12

Group like terms

20m-18m<12+5-3

2m<17-3

2m<14

2m÷2<14÷2

m<7

hope this helps *_*

pls brainliest

Answer:

64 cubes

Step-by-step explanation:

The volume of wooden box,

→ x = l × b × h

→ x = 32 × 16 × 8

→ [x = 4096 cm³]

The volume of a cube,

→ y = side³

→ y = 4 × 4 × 4

→ [ y = 64 cm³]

Now we have to,

find how many cubes can be packed inside the wooden box.

→ x ÷ y

→ 4096 ÷ 64

→ 64 cubes

Hence, the solution is 64 cubes.

129m^2

A= bxh/2

Since I have 2 triangle I'll x 2 to get rid of the ÷ by 2

A= 13x5

= 65

A= bxh

= 8x8

=64

64 + 65= 129

Hope this helps!

Answer:

D;the last answer

Step-by-step explanation:

The more negative a fraction or decimal, the lower that actual value.

Therefore since -1 1/5 is the lowest it should go first, and D is the only answer like this! Hope this helps ^^

Answer: -1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75

Step-by-step explanation:

    I will turn all of these numbers into numbers that are not fractions since most of the numbers are already this way.

0.75 -> 0.75

-1 -> -1

[tex]\frac{1}{2}[/tex] -> 0.5

-1 [tex]\frac{1}{5}[/tex] -> -1.2

0.25 -> 0.25

    First of all, the negative numbers are smaller than the positive numbers. Then, we can order them least to greatest by number.

-1.2, -1, 0.25, 0.5, 0.75

   Putting the numbers into what they were originally given as gives us this:

-1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75

    The answer is the last option, -1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75.

[tex]\frac{2}{1}[/tex]Answer: A.

Step-by-step explanation:

The first graph has a slope of -2/1 (down 2 and over 1). It also has a y-intercept of 3, meaning it crosses the y-axis or vertical axis at 3.

The expression 14e - 16 is an algebraic expression, and the factored expression is 2(7e - 8)

The expression is given as:

14e - 16

Express both terms as a product of 2

14e - 16 = 2 * 7e - 2 * 8

Factor out 2 in the expression

14e - 16 = 2 * (7e - 8)

Remove the product sign

14e - 16 = 2(7e - 8)

Hence, the factored expression of 14e - 16 is 2(7e - 8)

Read more about factored expressions at:

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Answer:because each answers eachother

Step-by-step explanation:

Answer:

[tex] {\longrightarrow \pmb{\sf {\qquad \frac{1}{24} }}} \\ \\[/tex]

[tex] \: [/tex]

Step-by-step explanation:

It is given that the perimeter of an equilateral triangle is 1/8 unit and we have to find the length of each side of the triangle.

So, we know that,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad 3a = Perimeter_{(Equilateral triangle) }}}} \\ \\[/tex]

Now, substituting the given values in the formula :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3a = \frac{1}{8} }}} \\ \\[/tex]

By doing cross multiplication we get :

[tex]{\longrightarrow \pmb{\sf {\qquad 3a(8) = 1(1) }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 24a = 1 }}} \\ \\[/tex]

Dividing both sides by 24 we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad \frac{24a}{24} = \frac{1}{24} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad a = \frac{1}{24} }}} \\ \\[/tex]

Therefore,

Answer:

B. the spring has a length of 1 inch when no force is applied

Step-by-step explanation:

Answer:

the last guy who answered is correct

Step-by-step explanation:

sorry I needed to answer for more answers I can get

Answer:

$54000

Step-by-step explanation: 3780 divided by the number of years he paid interest for, (6) gives you 630. If he pays 7% interest, you calculate what number 630 is 7% of (9000.) Therefore he takes out 9000 dollars a year. Meaning that in total, he borrowed 54,000 dollars. (9000 x 6)

#1

[tex]\\ \rm\Rrightarrow \dfrac{WX}{UV}=\dfrac{HI}{FE}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{WX}{16}=\dfrac{10}{8}[/tex]

[tex]\\ \rm\Rrightarrow WX/2=10[/tex]

[tex]\\ \rm\Rrightarrow WX=20[/tex]

Again

#2

[tex]\\ \rm\Rrightarrow \dfrac{WX}{UT}=\dfrac{HI}{FG}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{20}{20}=\dfrac{10}{FG}[/tex]

[tex]\\ \rm\Rrightarrow FG=10[/tex]

Answer:

WX = 20

FG = 10

Step-by-step explanation:

If EFGHI ~ VUTXW

then:

The only pair of sides that both have measures is EF and VU

EF = 8

VU = 16

VU/EF = 16/8 = 2

Therefore, VUTXW is enlargement of EFGHI by a scale factor of 2.

As HI = 10

⇒ WX = 10 × 2 = 20

As UT = 20

⇒ FG = 20 ÷ 2 = 10

Answer:

Runner B

Step-by-step explanation:

speed = distance ÷ time

Runner A: 1 ÷ 8 = 0.125m/ms

Runner B: 2 ÷ 10 = 0.2m/ms

Runner C: 3 ÷ 20 = 0.15m/ms

Runner D: 5 ÷ 30 = 0.17m/ms

Runner B has the highest speed so he is the fastest runner.

Answer:

f(1) = 3

Step-by-step explanation:

f(t) = t² - 1t + 3

we want to find f(1)

all we have to do is replace the t's with 1 and evaluate

f(1) = (1)² - 1(1) + 3

evaluate exponent 1² = 1

f(1) = 1 - 1(1) + 3

multiply

f(1) = 1 - 1 + 3

subtract

f(1) = 3