Anyone have any clue what this is going to be

The correct answers are A) 7cm, C) 9cm and D) 12cm

The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.

If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.

Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:

⇒  \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)

where y is the length of the line in real life. Solving for y, we get:

⇒  \(y = \frac{7 feet} {2cm} *x\)  

⇒  \(y = 3.5 x feet\)

If we put x = 2cm (given) then, y = 7 feet

For y = 21 feet, the value of x = 6cm.

Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.

So, the lines on the drawing that are greater than 21 feet in real life are:

A) 7cm, C) 9cm, D) 12cm

Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm

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Answer:

Your answer would be B. 11.85

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  x = -2 and x = 1/3

Step-by-step explanation:

The simple way to solve this is to enter the equation into a graphing calculator and have it show you what the zeros are.

The solutions are x = -2 and x = 1/3.

__

One way to solve this is to factor it. The product of the leading coefficient and the constant is (3)(-2) = -6. You want to find factors of this number that have a sum equal to the coefficient of the linear term: 5.

  -6 = (-1)(6) = (-2)(3) = ...

The first pair of factors listed here has a sum of 5, so we can rewrite the equation as ...

  3x^2 -x +6x -2 = 0

Factoring pairs of terms, we have ...

  x(3x -1) +2(3x -1) = 0

  (x +2)(3x -1) = 0

The solutions are the values of x that make these factors zero:

  x + 2 = 0   ⇒   x = -2

  3x -1 = 0   ⇒   x = 1/3

The solutions are x = -2 and x = 1/3.

Step-by-step explanation:

hope this helps!:).....

Answer:

39  shelves needed to build

Step-by-step explanation:

To find the number of shelves needed we need to divide the number of mystery books by 34

We know that. Each shelf can hold 34.

It is given that, There are 1,326 mystery books

So, 1,326/34

39  shelves needed to build

Answer:

\(\left[\begin{array}{ccc}y=x&y=\frac{2}{3}x&y=\frac{2}{3}x +1 \\-6&-4&-3\\-3&-2&-1\\0&0&1\\3&2&3\\6&4&5\end{array}\right]\)

Step-by-step explanation:

-6: y = -6

y = \(\frac{2}{3}\) (-6)

y = -4

y = \(\frac{2}{3}\) (-6) + 1

y = -4 + 1

y = -3

-3: y = -3

y =  \(\frac{2}{3}\) (-3)

y = -2

y =  \(\frac{2}{3}\) (-3) + 1

y = -2 + 1

y = -1

0: y = 0

y =  \(\frac{2}{3}\) (0)

y = 0

y =  \(\frac{2}{3}\) (0) + 1

y = 1

3: y = 3

y =  \(\frac{2}{3}\) (3)

y = 2

y =  \(\frac{2}{3}\) (3) + 1

y = 2 + 1

y = 3

6: y = 6

y =  \(\frac{2}{3}\) (6)

y = 4

y =  \(\frac{2}{3}\) (6) + 1

y = 4 + 1

y = 5

Answer:

20x^2 +19xy+3y^2

Step-by-step explanation:

See Image below :)

9514 1404 393

Answer:

  20x² +19xy +3y²

Step-by-step explanation:

Use the distributive property.

  (4x +3y)(5x +y)

  = 4x(5x +y) +3y(5x +y)

  = 20x² +4xy +15xy +3y²

Collect terms.

  = 20x² +19xy +3y²

The missing values are

<UTQ = 41 degree

x= 1

<UQT = 47 degree

We have a parallelogram QRST.

We know that the opposite sides of the parallelogram is equal and parallel then

QR || ST

QT || SR

Then, <SRT = <RTQ (<UTQ) (alternate Interior Angle)

<UTQ = 41

Similarly, <UQT = <SRQ = 47

Now, RU = UT

2x + 1= 3

2x = 2

x= 1

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Answer:

\(\begin{aligned}SA &= 7.125\pi \text{ in}^2\\& \approx 22.4 \text{ in}^2 \end{aligned}\)

Step-by-step explanation:

We can find the Surface Area of the can by adding the areas of each of its parts:

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

First, we can calculate the area of the circular base:

\(A_{\text{circle}} = \pi r^2\)

\(A_{\text{base}} = \pi (0.75 \text{ in})^2\)

\(A_{\text{base}} = 0.5625\pi \text{ in}^2\)

Next, we can calculate the area of the rectangular side:

\(A_\text{rect} = l \cdot w\)

\(A_\text{side} = (4\text{ in}) \cdot C_\text{base}\)

Since the width of the side is the circumference of the base, we need to calculate that first.

\(C_\text{circle} = 2 \pi r\)

\(C_\text{base} = 2 \pi (0.75 \text{ in})\)

\(C_\text{base} = 1.5 \pi \text{ in}\)

Now, we can plug that back into the equation for the area of the side:

\(A_\text{side} = (4\text{ in}) (1.5\pi \text{ in})\)

\(A_\text{side} = 6\pi \text{ in}^2\)

Finally, we can solve for the surface area of the can by adding the area of each of its parts.

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

\(SA = 2(0.5625\pi \text{ in}^2) + 6\pi \text{ in}^2\)

\(\boxed{SA = 7.125\pi \text{ in}^2}\)

\(\boxed{SA \approx 22.4 \text{ in}^2}\)

The maximum number of shirts in each row so that all the rows are equal in length is 14. option C

Number of polo shirt on display = 14

Number of team shirts on display = 56

Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56

Factors of 14: 1, 2, 7, 14

The highest common factor of 56 and 14 is 14

Therefore, the maximum number of shirts in each row so that all the rows are equal in length is 14

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Answer:

Step-by-step explanation:in bv h positive 1 to 3rd power eat your spagetti noodles and go bye

Answer:

C

Step-by-step explanation:

Evaluating the options :

a : 0.01

So, it comes down to :

(b) 0.51 or (c) 0.98

If we try and plot a line of best fit, we will obtain a line that passes through the origin and seems similar to y = x.

Hence, the best option is C

a) On compounding the amount of money in account after 35 years will be $356796.54.

b) $84000 is the total money that will be put into the account.

c) The total interest earned is obtained as $272796.54.

What is Compound Interest?

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

a)  Figure out the period interest rate, i.

Use the formula: i=r/m, where r is the nominal interest rate and m is the number of compounding periods.

If the bank pays 7% compounded monthly, that means that the nominal annual interest rate is 7.0% and the monthly period interest rate is 7/12 = 0.58%.

The principal amount A = $200

The number of times interest applied per time period n = 35 × 12 = 420

Now, use the uniform series compound-amount factor to find the future value.

The equation is -

F = A [((1 + i)^n) - 1] / i

where F is the future value, A is the annuity amount, i is the period interest rate.

Substitute the values into the equation -

F = 200 [((1 + 0.0058)^420) - 1] / 0.0058

F = 200 [((1.0058)^420) - 1] / 0.0058

F = 200 (11.3471 - 1) / 0.0058

F = 200 (10.3471) / 0.0058

F = 200 × 1783.9827

F = 356796.54

Therefore, the amount will be $356796.54 after 35 years.

b) The total money put in the account will be -

Total amount = The principal amount × The number of times interest applied per time period

Total amount = A × n

Substitute the values into the equation -

Total amount = 200 × 420

Total amount = 84000

Therefore, the total amount is $84000.

c) The total interest earned will be -

Total Interest = The future amount - The total money put in the account

Total Interest = F - The total money put in the account

Substitute the values into the equation -

Total Interest = 356796.54 - 84000

Total Interest = 272796.54

Therefore, the total interest is $272796.54.

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Answer:

câu này là 500 nhen

Answer:

p/12.5 = 70/100

Step-by-step explanation:

a percent is considered out of 100

since you know the total 12.5, that will fit as the whole

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

tr it and it wil; he;p

The given mathematical statement -

"a perfect square is a number that has integer square root"

is true as a perfect square can be defined as the number which can be written in the form of product of an integer by itself.

A square root function is of the form -

y = √x

We can further write the value of {y} as -

x = y²

y² = x

Given is the mathematical statement as -

"a perfect square is a number that has integer square root".

It is asked to identify, whether the given mathematical statement is true or false.

A perfect square can be defined as the number which can be written in the form of product of an integer by itself. It can also be written in the form of the second exponent of an integer. So, we can say that the square roots of the perfect square number are integers.

Therefore, the given mathematical statement -

"a perfect square is a number that has integer square root"

is true as a perfect square can be defined as the number which can be written in the form of product of an integer by itself.

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Answer:

Step-by-step explanation:

uhh

Answer:

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

r = ?

pi = 3.14

h = 17 cm

3*V = pi * r^2 h = r^2    Divide by pi

3*V/pi = r^2 h  = r^2     Divide by h

3*V/(pi*h)         =r^2      Take the square root of the left to get just  r

sqrt(3*V/(pi*h))  = r         Now solve the equation.

sqrt(3*538.25 /(3.14*17)) = r

sqrt(1614 / 53.38) =

r = sqrt(30.24)

r = 5.493

The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Step-by-step explanation:

my workings and answers is in the image above

Answer:

There is another approach to this problem that

might be more in line with what you are studying ..... NOTE: the first answer is correct.

Step-by-step explanation:

1 = 2\(x^{4}\)

1/2 = \(x^{4}\)

ln(1/2) = 4 ln(x)

ln(1/2)/4 = ln(x)

x = \(e^{-0.1732}\)

x = .8408

~~~~~~~~~~~~~~~~

model : 840\((0.8408)^{t}\)

~~~~~~~~~~~~~~~~~

(.03* 840)  = 840\((0.8408)^{t}\)

(.25.2)  = 840\((0.8408)^{t}\)

.03 = \((0.8408)^{t}\)

ln(.03 )=ln( \((0.8408)^{t}\))

t = ln(.03 )/ln(0.8408 )

t = 20.22

The range of the possible length of the third side is between 10 and 22

From the question, we have the following parameters that can be used in our computation:

Lengths = 6 and 16

The possible length of the third side can be calculated using the triangle inequality theorem

For this triangle, the length of the third side must be greater than

16 - 6 = 10

Also, the length of the third side must be less than

16 + 6 = 22

Hence, the possible length of the third sides is between 10 and 22

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Answer:

B

Step-by-step explanation:

The only item that will serve as a liability is Her Mortgage. Option B is correct

Liabilities can be termed as money owned by a person or an amount of money borrowed with the intention to pay back after a period of time.

If Tony is trying to calculate her net worth, then we need to select a property that will serve as a debit for him instead of credit.

From the listed option, the only item that will serve as a liability is Her Mortgage

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Answer:

72/n^5r

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

13)

● 2d^3 × c^6 × 8d^5 × c^2

Isolate the similar terms

● (2×8)× (d^3 × d^5)×(c^6×c^2)

● 16 × d^(3+5) × c^(6+2)

● 16 × d^8 × c^8

● 16 × (dc)^8

● 16(dc)^8

■■■■■■■■■■■■■■■■■■■■■■■■■■

● 8n×r^(-4) ×9×n^(-6)×r^3

Isolate the similar terms

● (8×9)× (r^(-4)×r^3) × (n×n^(-6))

● 72 × r^(-4+3) × n^(1-6)

● 72 × r^-1 × n^(-5)

● 72 ×(1/r) × (1/n^5)

● 72/(r×n^5)

Answer:

a = 8

Step-by-step explanation:

Explanation:-

Given P(x) = 2 x+4 a

          Q(x)=4 x - 2

          P( Q(4)) = 60

         P(4 (4) - 2) = 60

        P( 14 ) = 60

       2 (14) + 4 a = 60

        4 a + 28 = 60

Subtracting '28' on both sides , we get

       4 a +28 - 28 = 60 - 28

       4 a = 32

Dividing '4' on both sides , we get

        a = 8

Answer:

Step-by-step explanation:

The given equations are ...

  4a +5s = 87

  2a +2s = 40

We observe that the coefficient of 'a' in the first equation is 2 times that in the second equation. We can multiply the second equation by -2 and add it to the first to eliminate 'a' terms.

  (4a +5s) -2(2a +2s) = (87) -2(40)

  4a +5s -4a -4s = 87 -80 . . . . . . . . . eliminate parentheses

  s = 7 . . . . . . . . . . . . . . . . . .simplify

  2a +2(7) = 40 . . . substitute for s in the second equation

  2a = 26 . . . . . . subtract 14

  a = 13 . . . . . . . divide by 2

Adult tickets cost $13; student tickets cost $7.

Answer:

1/1000 and 0.001

Step-by-step explanation: