Vincent goes to the gym for 30 minutes every day. He starts a new exercise routine on a Monday and uses a function to model the amount of calories he has used, f\left(d\right)f(d), as a function of the number of days, dd, he has exercised with the new routine.

m - 2 = -2 + m

Let's rearrange the right side of this equation.

m - 2 = m - 2

Any value of m makes this equation true.

m = all real number or (-∞, ∞)

Answer:

x=-5

Step-by-step explanation:

don't think thats a quadratic equation, in that case the answer is above, just subtract from both sides

The solution of given quadratic equation is ± √10

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Suppose that we have been given a function y = f(x) such that f(x) is quadratic. When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

Given the quadratic equation;

x² + 10 = 0

The solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given that, x² +0x + 10 = 0.

Here a = 1, b= 0 and c = 10

x = [-b ± √(b² - 4ac)]/2a

= [-0 ± √(0² - 40)]/2(1)

= [ ± √(0- 40)]/2

=  [± √(-40)]/2

= [ ± 2 √10]/2

= ± √10

Therefore the solution of given quadratic equation is ± √10

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Answer:

6.23

Step-by-step explanation:

good

Answer:

Step-by-step explanation:

For the given set, {1x∣∣∣x∈ℤ and 2≤x≤5}, x∈ℤ means that the elements of the set are integers and 2≤x≤5 means the integers are values from 2 to 5.

Note that integers are whole numbers. The integers from 2 to 5 are 2, 3, 4 and. 2 and 5 are included to due the equality sign present in the inequality.

The elements of the set are {2, 3, 4, 5}.

Cardinal number of the set is similar to cardinality of the set. In set theory, cardinality of a set is the total number of element in the set. According to the set above, the total number of element in the set is 4.

Hence the cardinal number of the set is 4

Note that ∠A + ∠B = 180°

Therefore:

(8x + 74°) + (2x + 56°) = 180°

Simplify:

10x + 130° = 180°

Subtract both sides by 130°:

10x = 50°

Divide both sides by 10:

x = 5

Plug x into ∠B:

∠B = 2(5) + 56° = 10 + 56° = 66°

Step-by-step explanation: If two parallel lines are cut by a transversal,

then same side interior angles are supplementary.

So in this problem, we know that m<A + m<B = 180°l.

~substitute

8x + 74 + 2x + 56 = 180

~simplify

10x + 130 = 180

10x = 50

x = 5

If we know that x = 5, we can use this information to find <b.

So we have 2(5) + 56 or 10 + 56 which is 66.

So x = 5 and m<B = 66°.

Answer:

Mean = 30.68

Standard deviation = 6.095

Two standard deviations above the mean = 42.87

Step-by-step explanation:

Given the following data :

21; 21; 22; 23; 24; 24; 25; 25; 28; 29; 29; 31; 32; 33; 33; 34; 35; 36; 36; 36; 36; 38; 38; 38; 40

Mean = Σ(x) / n

n = 25

Σ (X) = 767

Mean (m) = 767 / 25

Mean (m) = 30.68

Standard deviation : sqrt[Σ(x - m) / n]

Using a calculator :

Standard deviation = 6.095 ( 2 decimal places)

2 standard deviations above the mean :

Mean + 2(standard deviation)

Mean + 2(6.095)

30.68 + 12.19

30.68 + 12.19

= 42.87

Answer:

7.44 is the answer

Step-by-step explanation:

Using the normal distribution, it is found that this value was 7.5 points below the average.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 22.5, \sigma = 6.2[/tex].

In one game, the number of points the athlete scored was 1.2 standard deviations below his mean, hence Z = -1.2 and the score was of X, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.2 = \frac{X - 22.5}{6.2}[/tex]

X - 22.5 = -1.2 x 6.2

X = 15.

15 - 22.5 = 7.5.

This value was 7.5 points below the average.

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Answer:

because its already in expanded, all I can say is normal form would be

806,302.

Answer:

10

Step-by-step explanation:

Round up if this number is greater than or equal to  

5  and round down if it is less than  5

Answer:

0.6-2.1=1.5

Step-by-step explanation:

0.6-2.1=-1.5

0.6-2.1= - I2.1-0.6I

2.1

-0.6

--------

1.5

Answer:

25

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1

Answer:

Look it up. it will helpp you work it out. i hope this helped.

Step-by-step explanation:

Answer: All of the numbers except for 4 is divisible by 90.

Step-by-step explanation: All the numbers beside 4 are divisible by 90 because they can all go into 90 equally.

Answer:

D

Step-by-step explanation:

Buying the backpack to carry your books will help increase your efficiency.

Answer:

If x=1 then f(x)=-3

Step-by-step explanation:

Answer:

10.4%

Step-by-step explanation:

138000-125000=13000

13000/125000 × 100 = 10.4

Answer:

[tex] h = 4 cm [/tex]

Step-by-step explanation:

Volume of cylinder is given as [tex] V = \pi r^2h [/tex],

r = radius of base of cylinder, h = height of the cylinder.

Let's make h (height) the subject of the formula (i.e. select the formula for h).

[tex] V = \pi r^2h [/tex]

Divide both sides by πr²

[tex] \frac{V}{\pi r^2} = \frac{\pi r^2h}{\pi r^2} [/tex]

[tex] \frac{V}{\pi r^2} = h [/tex] (πr² crosses out πr²)

Rewrite the formula:

[tex] h = \frac{V}{\pi r^2} [/tex]

Given a cylinder of Volume (V) = 36π cm³, and radius (r) = 3 cm,

height of the cylinder can be selected by plugging these values into the formula for h (height) we selected above. Thus:

[tex] h = \frac{36 \pi}{\pi 3^2} [/tex]

Simplify:

[tex] h = \frac{36 \pi}{\pi * 9} [/tex]

[tex] h = \frac{36}{9} [/tex] (π crosses out π)

[tex] h = 4 cm [/tex]

Answer:  y = 1/2x -8  

Step-by-step explanation:

The equation will be in slope intercept form which uses the formula  y= mx +b   where m is the slope and b is the y-intercept and those are the only numbers need to write the equation.

The points are (2,-7) (8,-4) to find the slope using these points,find the change in their y values and divide it by the change in the x values.

-7- (-4) = -3

2 - 8 = - 6

-3/-6 =   1/2  

So in this case the  slope is 1/2, now input it into the equation and use one of the points coordinates to solve for b the y intercept.

-7 = 1/2(2) + b  

-7 =  1 + b

-1     -1

b = -8  

The y intercept is -8 so we will have the equation y = 1/2x -8

The correct answer is B. Hardness and brittleness

Explanation:

The ions in materials such as chalk and other ionic compounds are bonded by electrostatic forces. These features give ionic compound unique characteristics. This includes the fact these materials are usually hard, which means they do not deform easily and the fact these are brittle, which means they break easily.

These properties can be observed in chalk because the chalk itself keeps its shape or does not deform (hardness) but it breaks easily under pressure (brittleness), indeed due to this last property it is possible to write using chalk and due to the first property it is possible the chalk is a durable material.

Answer:

B.

Step-by-step explanation:

Answer:

[tex]f(x)= \dfrac{1}{\sqrt x - \sqrt 3}[/tex]

Step-by-step explanation:

The square root forces values for x to be positive.

The -√3 causes a divide by zero for x=3, which is not allowed.

☽------------❀-------------☾

Hi there!

~

Find the exact value using trigonometric identities.

[tex]643.22 + 132.20 + 147.013​ = 922.433[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

922.433

Step-by-step explanation:

[tex]\frac{\begin{matrix}\space\space&\textbf{1}&1&\space\space&\space\space&\space\space&\space\space&\space\space\\ \space\space&\textbf{6}&4&3&.&2&2&0\\ \space\space&\textbf{1}&3&2&.&2&0&0\\ +&\textbf{1}&4&7&.&0&1&3\end{matrix}}{\begin{matrix}\space\space&\textbf{9}&2&2&.&4&3&3\end{matrix}}[/tex]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Highest speed measured = 71.3 Mbps

Mean speed (x) = 18.29 Mbps

Standard deviation (s) = 20.59

a.) What is the difference between​ carrier's highest data speed and the mean of all 50 data​ speeds?

(71.3 - 18.29) Mbps = 53.01 Mbps

b. How many standard deviations is that​ [the difference found in part​ (a)]?

53.01 / 20.59 = 2.57

c. Convert the​ carrier's highest data speed to a z score.

Zscore = (score - mean) / standard deviation

Zscore = (71.3 - 18.29) / 20.59

Zscore = 2.57

d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly​ high, is the​ carrier's highest data speed​ significant?

Yes, this highest speed is significant as it's Zscore is higher than 2 (2.57).

Answer:

[tex] \boxed{\sf Volume \ of \ the \ prism = 24 \ ft^3} [/tex]

Given:

Length = 4 ft

Width = 2 ft

Height = 3 ft

To Find:

Volume of the prism

Explanation:

Prism in the the figure given is a rectangular prism.

Volume of rectangular prism is same as volume of cuboid.

Volume of rectangular prism = Length × Width × Height

= 4 × 2 × 3

= 24 ft³

Answer:

92

Step-by-step explanation:

Step 1- Substitute the variables.

9(8)+5(4)

72+20

Step 2- Add

72+20= 92

Answer:

Step-by-step explanation:

perp. -6

y + 3 = -6(x - 2)

y + 3 = -6x + 12

y = -6x + 9

Answer:

250 people will purchase the product next month

312 people will purchase the product in 2 month

Step-by-step explanation:

Total Population = 1000

People who purchased plant's product= 200

People who did not purchase = 800

Next month:

= 200 * (60%) + 800 * (20%)

= 200 * 60/100 + 800 * 20/100

= 120 + 160

= 280 people

Thus, 250 people will purchase the product next month

In 2 month:

= 280 * (60%) + 720 * (20%)

= 280 * 60/100 + 720 * 20/100

= 168 + 144

= 312 people

Thus, 312 people will purchase the product in 2 month

Answer: 112.36cm^2

Step-by-step explanation:

Un cuadrado tiene 4 lados de igual longitud.

Si dibujamos la diagonal del cuadrado, podemos ver la imagen como dos triángulos rectángulos.

Donde los lados del cuadrado son los catetos, y la diagonal es la hipotenusa.

Ahora, recordando el teorema de Pitágoras, tenemos que, si A y B son catetos, y H es la hipotenusa:

A^2  + B^2 = H^2

En este caso sabemos que los catetos son iguales (por que es un cuadrado)

A = B.

Y también sabemos que H = 15cm.

A^2 + A^2 = (15cm)^2

2*A^2 = (15cm)^2

A = √((15cm)^2/2) = 15cm/√2 = 10.6 cm.

Ahora conocemos L, el largo de los lados de nuestro cuadrado.

L = 10.6cm

Y sabemos que el área de un cuadrado es igual a el cuadrado de uno de los lados:

Área = L^2 = (10.6cm)^2 = 112.36cm^2