Write the expression. Then, check all that apply. twice the difference of a number and six A 2-column table with 4 rows. Column 1 is labeled Key Words with entries twice, the difference of, a number, six. Column 2 is labeled Replace with entries 2 times, (minus), n, 6. Replace “a number” with the variable, n. The two operations are multiplication and addition. The two operations are multiplication and subtraction. The constants are 2 and 6. The expression is written as 2(n – 6). The expression is written as 2 × 6 – n.

Answer:

D. 159

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

[tex]1.47 \times {10}^{4} [/tex]

Step-by-step explanation:

Answer:

length=0.65 mi

length in yr= 0.65x1760=1144

The length of the jogging track is 0.65 miles.

To convert the length of the jogging track from yards (yd) to miles (mi), use the ratio between yards and miles.

1 mile = 1760 yards

Now, set up the equation to convert the length:

Length in miles (mi) = Length in yards (yd) / Conversion ratio

Length in miles (mi) = 1144 yd / 1760 yd/mi

Now, perform the calculation:

Length in miles (mi) = 1144 / 1760 ≈ 0.65 miles (rounded to the nearest hundredth)

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The perimeter of the quadrilateral is the sum of the side lenths, and the perimeter is 72 units

The given parameters are:

AP = 10

EO = 12

The perimeter of the quadrilateral is calculated using:

Perimeter = 2 * (EO + 2AP) + 4

So, we have

Perimeter = 2 * (10 + 2 * 12) + 4

Evaluate

Perimeter = 72

Hence, the perimeter of the quadrilateral is 72 units

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Answer:

10 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (8, 5 ) and (x₂, y₂ ) = (- 2, 5 )

d = [tex]\sqrt{(-2-8)^2+(5-5)^2}[/tex]

   = [tex]\sqrt{(-10)^2+0^2}[/tex]

   = [tex]\sqrt{100}[/tex]

   = 10

The inverse function value in degrees will be 45°. Option C is correct.

Assuming function 'f' is a one-to-one and onto function which is a need for inverses to exist. The inverse of the considered function is. f⁻¹(x).

The given function is;

f(x)=sin⁻¹(1/2)

The given function is arranged is;

x=sin⁻¹(1/2)

The given function in terms of  sin;

sinx=1/2

Putting the values in terms of sin we get;

sinx=sin30°

x=30°

The inverse function value in degrees will be 45°.

Hence,option C is correct.

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Answer:

Step-by-step explanation:

That means the chance of getting blue = 12/20

12/20 = 6/10

6/10 = 3/5

also, 3/5 = 60%, or .60

Answer:

x = -2, -8.

Step-by-step explanation:

x =[(-b +/- √(b^2 - 4ac)] / 2a

x^2 + 10x + 16 = 0

Here a = 1, b = 10 and c = 16, so substituting in the formula:

x = [-10 +/- √(10^2 - 4*1*16)] / 2

= (-10 +/- √36)/2

= (-10 +/- 6)/2

= -4/2, -16/2

= -2, -8.

Answer:

x = - 8 , x = - 2

Step-by-step explanation:

x² + 10x + 16 = 0

with a = 1, b = 10 , c = 16

then using the given quadratic formula

x = [tex]\frac{-10+/-\sqrt{10^2-(4(1)(16)} }{2}[/tex]

  = [tex]\frac{-10+/-\sqrt{100-64} }{2}[/tex]

  = [tex]\frac{-10+/-\sqrt{36} }{2}[/tex]

  = [tex]\frac{-10+/- 6}{2}[/tex]

then

x = [tex]\frac{-10-6}{2}[/tex] = [tex]\frac{-16}{2}[/tex] = - 8

x = [tex]\frac{-10+6}{2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

Answer:

y = 1.25r

Step-by-step explanation:

1.25 x r(the pounds brought) = y(the money spent)

The quadratic function that models the data given in the table is 203.8x² - 26.6x + 8.6

A quadratic function is an equation that usually has a single variable and it is raised to the power of 2.

A quadratic function has the form : ax² + bx + c = 0

Where: a, b,c are known numbers and x is unknown

Given the quadratic function: 185x²+ 1.

Given the quadratic function: 203.8x² - 26.6x + 8.6

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Answer:

See below

Step-by-step explanation:

For a circle:

   Area = pi r^2   =   3.14 * 1.6^2 = 8.04 units^2

   Circumf = pi * d   = pi * 2r = 3.14 * (2 * 1.6) = 10.05 units

Answer:

It's 44 in²

Remember the diagonal formula, whereas there is p and q for the diagonals.

[tex]A = \frac{pq}{2} = \frac{11*8}{2} = 44~in.[/tex]

Answer:

Area of rhombus  = 44 square inches

Step-by-step explanation:

[tex]\sf \boxed{Area \ of \ rhombus = \dfrac{d_1*d_2}{2}}[/tex]

[tex]\sf \text{Here, $d_1$ and $d_2$ are the diagonals}[/tex]

                             [tex]\sf = \dfrac{11 *8}{2}\\\\ = 11*4\\\\ = 44 \ in^{2}[/tex]

Step-by-step explanation:

15÷3=5

There are 5 equal groups of 3

8÷4=2

There are 4 equal groups of 2

18÷6=2

There are 3 equal groups of 3

45÷5=9

There are 9 equal groups of 5.

1) Diagonals of a rectangle bisect each other, so AW=13.

2) Since diagonals of a rectangle are congruent, AC=BD. Then, since diagonals of a rectangle bisect each other, DW=13.

3) Diagonals of a rectangle are congruent, so BD=26.

4) Opposite sides of a rectangle are congruent, so AD=10.

5) Using the Pythagorean theorem, BA=24.

Answer:

x = 50° y = 130°

Step-by-step explanation:

x and 50° are vertically opposite angles and are congruent , then

x = 50°

y and 50° are adjacent angles and sum to 180° , then

y + 50° = 180° ( subtract 50° from both sides )

y = 130°

Answer: 5/24

Step-by-step explanation:

7/8 = 21/24      2/3= 16/24

21/24 - 16/24 = 5/24

Answer:

There are now 6.5 ounces in the new bag.

Step-by-step explanation:

To solve this question, take 30% of 5 and add it to the original amount of 5

30% = 0.30

5 * 0.30 = 1.5

5 + 1.5 = 6.5 ounces of candy.

Hope this helps!

Answer:

no 2³ = 8

Step-by-step explanation:

2³ = 2 times 2 times 2 which = 8

The different mathematical operations that have as a result 54 are 9x6,  8x9 - 18, 5x5 + 29, and 27x2.

This refers to calculating values using addition, multiplication, division, etc.

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Answer: MQ=16, QL=32

Step-by-step explanation:

The centroid splits the median in a 2:1 ratio.

The measure of MQ and QL are 16 and 32 respectively.

Centroid is the point on the median which divides it in the ratio 2:1.

The ratio of lengths QL and MQ will be 2:1.

[tex]\frac{QL}{MQ}=\frac{2}{1}\\QL=2MQ[/tex]

It is known that ML is the sum of MQ and QL.

MQ+QL=ML

Substitute QL=2MQ and ML=48 into the obtained equation.

MQ+2MQ=48

3MQ=48

MQ=16

Substitute MQ=16 into QL=2MQ

QL=2(16)

=32

Thus, the lengths are MQ=16 and QL=32.

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Option B is correct after applying the property of integer exponent and simplification.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have:

[tex]=\rm (x.x^{-3}.y^{\dfrac{1}{3}})^2[/tex]

[tex]=\rm (x^{-2}.y^{\dfrac{1}{3}})^2\\\\=\rm (x^{-4}.y^{\dfrac{2}{3}})\\\\=\rm \dfrac{y^{\dfrac{2}{3}}}{x^{4}}\\\\[/tex]

Thus, option B is correct after applying the property of integer exponent and simplification.

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The solution of the function [tex]\rm \int{sin(t) (1 + cos(t) )} \, dt[/tex] is - cos t - ¹/₄cos 2t + c.

An indefinite integral is a function that practices the antiderivative of another function.

It can be visually represented as an integral symbol, a function, and then a dx at the end.

The given function is;

[tex]\rm \int{sin(t) (1 + cos(t) )} \, dt[/tex]

Multiply by sint in the function and simplify;

[tex]\rm \int{sin(t) (1 + cos(t) )} \, dt\\\\\rm \int{sin(t) + sin(t)cos(t) \, dt[/tex]

Use trigonometric formulas for double angles:

[tex]\rm 2sintcost =sin2t\\\\sin t cost =\dfrac{1}{2} sin2t[/tex]

Substitute the values in the function

[tex]\rm \int{sin(t) (1 + cos(t) )} \, dt\\\\\rm \int{sin(t) + sin(t)cos(t) \, dt}\\\\ \int{sin(t) + \dfrac{1}{2} sin2t \, dt}\\\\[/tex]

And now we integrate this trigonometric form.

[tex]\rm \int{sin(t) + \dfrac{1}{2} sin2t \, dt}\\\\ \int{sin(t) dt } +\dfrac{1}{2}\int{sin(2t)\, dt}\\\\-cost -\dfrac{1}{2} \times \dfrac{1 \times -cos2t}{2}\\\\-cost -\dfrac{{1 \times -cos2t}}{4}+c[/tex]

Hence, the solution of the given function is - cos t - ¹/₄cos 2t + c.

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