For the equation, X + 20 = 120. how many value or values can be substituted for x to make it a true number sentence? one O two o no values all real numbers​

Answer:  The correct answer is x = 50

Step-by-step explanation:

The sum of angles in a triangle = 180 degrees

This is a right-angled triangle, so one of the angles is 90 degrees + x +y

Therefore: 90 + y + x = 180

Substitute the variables:

90 + 40 + x = 180

130 + x =180

Subtract 130 from each side:

(-130) 130 + x =180 (-130)

x = 50

Answer: The diameter of a circle is equal to twice the radius.

Step-by-step explanation: In this case, the key ring has a radius of 3 inches, so the diameter can be found by multiplying the radius by 2:

Diameter = 2 x radius = 2 x 3 inches = 6 inches.

Therefore, the key ring has a diameter of 6 inches.

Answer:

The diameter of a circle is twice the radius, so the diameter of the key ring can be calculated by multiplying the radius by 2.

Diameter = 2 x Radius

Diameter = 2 x 3 inches

Diameter = 6 inches

Therefore, the diameter of the key ring is 6 inches.

The zeros of the function defined by

h(x) = x³ – 4x² – 5x are x = 0, x = 5 and x = -1

The zeros of a function, also referred to as roots or x-intercepts, occur at x-values where the value of the function is 0. It is simply the values of x when f(x) is equal to 0.

For x = 0, we substitute 0 for x in the function h(x);

h(0) = (0)³ - 4(0)² - 5(0)

h(0) = 0

For x = 1, we substitute 1 for x in the function h(x);

h(1) = (1)³ - 4(1)² - 5(1)

h(1) = 1 - 4 - 5

h(1) = -8

For x = -5, we substitute -5 for x in the function h(x);

h(-5) = (-5)³ - 4(-5)² - 5(-5)

h(-5) = -125 - 100 +25

h(-5) = -200

For x = 5, we substitute 5 for x in the function h(x);

h(5) = (5)³ - 4(5)² - 5(5)

h(5) = 125 - 100 - 25

h(5) = 0

For x = -1, we substitute -1 for x in the function h(x);

h(-1) = (-1)³ - 4(-1)² - 5(-1)

h(-1) = -1 - 4 + 5

h(-1) = 0

Therefore, the values of x that makes the function h(x) = x³ – 4x² – 5x equal to zero are; 0, 5, and -1, they are the zeros of the function h(x).

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Answer:

Below

Step-by-step explanation:

The TWO ends are EACH  = pi r^2 = pi (1.6)^2

   there are two, so   2 * pi * (1.6)^2

the side surface area is  the circumference ( pi * d) times the height

  =   pi * 3.2 * 3.8  

Add the two underlined items to find the answer that matches

Answer:

Hey i know im late to answer but the real answer is SA = 2π(1.6)2 + 3.2π(3.8) square feet

Step-by-step explanation:

ive done the flvs quiz and i got a 100 percent!

Answer:

The amount of discount is $120

The sale price is $480

Step-by-step explanation:

The amount of discount = Original price × the Percentage off

The amount of discount = $600 × 20 %

The amount of discount = $600 × .20

The amount of discount = $120

The sale price = Original price - Discount

The sale price = $600 - $120

The sale price = $480

Answer:

I = 91.125

Step-by-step explanation:

Given that:

\(I = \int \int_E \int zdV\) where E is bounded by the cylinder \(y^2 + z^2 = 81\) and the planes x = 0 , y = 9x and z = 0 in the first octant.

The initial activity to carry out is to determine the limits of the region

since curve z = 0 and \(y^2 + z^2 = 81\)

∴ \(z^2 = 81 - y^2\)

\(z = \sqrt{81 - y^2}\)

Thus, z lies between 0 to \(\sqrt{81 - y^2}\)

GIven curve x = 0 and y = 9x

\(x =\dfrac{y}{9}\)

As such,x lies between 0 to \(\dfrac{y}{9}\)

Given curve x = 0 , \(x =\dfrac{y}{9}\) and z = 0, \(y^2 + z^2 = 81\)

y = 0 and

\(y^2 = 81 \\ \\ y = \sqrt{81} \\ \\ y = 9\)

∴ y lies between 0 and 9

Then \(I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \int^{\sqrt{81-y^2}}_{z=0} \ zdzdxdy\)

\(I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \begin {bmatrix} \dfrac{z^2}{2} \end {bmatrix} ^ {\sqrt {{81-y^2}}}_{0} \ dxdy\)

\(I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \begin {bmatrix} \dfrac{(\sqrt{81 -y^2})^2 }{2}-0 \end {bmatrix} \ dxdy\)

\(I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \begin {bmatrix} \dfrac{{81 -y^2} }{2} \end {bmatrix} \ dxdy\)

\(I = \int^9_{y=0} \begin {bmatrix} \dfrac{{81x -xy^2} }{2} \end {bmatrix} ^{\dfrac{y}{9}}_{0} \ dy\)

\(I = \int^9_{y=0} \begin {bmatrix} \dfrac{{81(\dfrac{y}{9}) -(\dfrac{y}{9})y^2} }{2}-0 \end {bmatrix} \ dy\)

\(I = \int^9_{y=0} \begin {bmatrix} \dfrac{{81 \ y -y^3} }{18} \end {bmatrix} \ dy\)

\(I = \dfrac{1}{18} \int^9_{y=0} \begin {bmatrix} {81 \ y -y^3} \end {bmatrix} \ dy\)

\(I = \dfrac{1}{18} \begin {bmatrix} {81 \ \dfrac{y^2}{2} - \dfrac{y^4}{4}} \end {bmatrix}^9_0\)

\(I = \dfrac{1}{18} \begin {bmatrix} {40.5 \ (9^2) - \dfrac{9^4}{4}} \end {bmatrix}\)

\(I = \dfrac{1}{18} \begin {bmatrix} 3280.5 - 1640.25 \end {bmatrix}\)

\(I = \dfrac{1}{18} \begin {bmatrix} 1640.25 \end {bmatrix}\)

I = 91.125

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

this is the final answer

thankyou

Step-by-step explanation:

V=lwh

3

Answer:

$5.98 credit

Step-by-step explanation:

the slope OR "m" in y=mx in this equation is given to be: -0.16

To find the answer you know that the calling time (x) is 37 minutes, therefore you multiply 3 by -0.16 to find the credit after 37 mins

y=mx

y=(0.16)(37)

y=5.92

Answer:

okay

Step-by-step explanation:

2^3 times 3^2

Answer:

2^3*9

Step-by-step explanation:

72-9

8-2

4-2

2-2

1

Answer: 65/32

Step-by-step explanation:

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Given that :

The confidence interval = ( 7.9 , 12.7 )

The Margin of error M.O.E = Interval width/2

where;

The interval width = UCL - LCL

The interval width = 12.7 - 7.9

The interval width = 4.8

∴

The Margin of error M.O.E = 4.8/2

The Margin of error M.O.E = 2.4

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

√66

Step-by-step explanation:

From the Euclidean theorem x^2 = 6 × 11

x^2 = 66

x = √66

Answer:

-8,4

Step-by-step explanation:

because the slope is slightly 0n 5 and 4

Area of rectangular prism: Base x Height.

so 3x1/3x2/5=0.4 0r 2/5

Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Answer:

                    252

      l----------l----------l----------l                       252 changes to 250

  225       250      275      300      

                    23

            l----------l---------l---------l                     25 changes to  23

            0         25         50       75

   250-25=225

Step-by-step explanation:

Answer:

i guess not similar....

Step-by-step explanation:

Answer:

p(x) = x^2 - 8x + 41

Step-by-step explanation:

If a polynomial with rational coefficients has a complex root, then the roots come in complex conjugate pairs. If the polynomial we need to find has the root 4 - 5i, then it must also have its complex conjugate 4 + 5i as a root.

p(x) = [x - (4 - 5i)][x - (4 + 5i)]

p(x) = [(x - 4) + 5i][(x - 4) - 5i]

Now it's a difference of two squares.

p(x) = (x - 4)^2 - (5i)^2

p(x) = x^2 - 8x + 16 + 25

p(x) = x^2 - 8x + 41

Hey there! :)

Answer:

\(-25m^{6}n^{9}\)

Step-by-step explanation:

The product rule means that when multiplying variables with exponents, the exponents must be added together. Therefore:

\((-5m^{5}n^{6})(5mn^{3}) =\)

\(-25m^{5+1}n^{6+3} =\)

Simplify:

\(-25m^{6}n^{9}\)

This is your answer!

Answer:

Step-by-step explanation:

4/mx

The computation of the increased in salary is $500.

Here, we have,

Explanation:

Data provided in the question

Salary for the first year = $50,000

CPI increase during the year = 4%

Overstated inflation = 1% i.e. 5%

The computation of the increased in salary is shown below:

= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year

= $50,000 × 5% - $50,000 × 4%

= $2,500 - $2,000

= $500

Hence, The computation of the increased in salary is $500.

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complete question:

Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.

The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units

For two triangles to be similar, the corresponding sides of the triangles must be in proportion

Having said  that

The side AC corresponds to the side AC in the other triangle

The length BC is calculated as

BC/9 = 25/15

Express as products

So, we have

BC = 9 * 25/15

Evaluate the products

BC = 15

Hence, the length of BC is 15 units

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Answer: ~73.89% of students at school are not freshmen

Step-by-step explanation:

To find a percentage, you need to divide the partial group by the large group. For example, if I have 2 bananas, and 10 fruits, what percentage of bananas do I have? The correct answer would be (2 bananas ÷ 10 fruits), which equals 20% (the equation equals 1/5, or 0.2, but when finding percentages, you multiply the final answer by 100 and add the % sign.).

Now, you have 223 freshmen and 854 students. To calculate the percentage of students at the school other than freshman, you need to find out how many students aren't freshman. Do this by finding the difference of the amount of students in the school and the amount of freshmen.

> 854 - 223 = 631 students that are not freshmen

Use this number to find out the percentage of students that are not freshmen.

> 631 non-freshmen ÷ 854 total students ≈ 73.89%

Answer:

Step-by-step explanation:

Let's break down the expression step by step:

Nine raised to the power of 1/3:

9^(1/3) = ∛9 = 2.0801

Twenty-seven raised to the power of 1/2:

√27 = 5.1962

Two raised to the power of 1/6:

∛2 = 1.1225

Combining the previous results:

(2.0801 * 5.1962) / 1.1225

Three raised to the power of 1/3:

∛3 = 1.4422

Combining the final result:

(2.0801 * 5.1962) / 1.1225 * 1.4422

(2.0801 * 5.1962) / 1.1225 * 1.4422 ≈ 9.7085

Therefore, the value of the given expression is approximately 9.7085.

Step-by-step explanation:

to control fever a doctor recommend that a child should be given one mg of certain medicine for every 0. 07 kg body weight if the those is proportional to the body weight of the child then the quantity of medicine for a child of body weight to 24.92 kg

Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)