Which function grows at the fastest rate for increasing values of x?

f(x)=2⋅3x

g(x)=10x+15

h(x)=5x2+x+10

Step-by-step explanation:

Answer:

12. We have that 32 cm is the shaded region

Answer:

35 / 7 = 20 / 4

Step-by-step explanation:

20 / 4 equals to 5

35 / 7 equals to 5

Answer:

-224

Step-by-step explanation:

hope it helps

Answer:

87.92in³

Step-by-step explanation:

Volume of cylinder formula:

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

Plug in the values using 3.14 for pi:

V = 3.14(2)^2(7)

V = 87.92in³

Answer:

(3,4) is the solution of both equations.

Step-by-step explanation:

The given equations are :

3x – 2y = 1 ....(1)

4y = 7+3x

4y-3x = 7 .....(2)

Put x = 3 and y = 4 in equation (1).

3(3) – 2(4) = 9-8

= 1

So, (3,4) is the solution of the equation (1).

Again put x = 3 and y = 4 in equation (2).

4(4)-3(3) = 16-9

= 7

Hence, (3,4) is the solution of both equations.

Answer:

Either C or A

Step-by-step explanation:

Hope it help you have a good day

I think the first one c and the second one a

Answer:

the z-score is within 3

Step-by-step explanation:

first you got to take the standard deviation and add it to the mean since 375 is greater than 250. so the equastion would be

250+50=300+50=350+50=40

so the z-score for the value of 375 is within 3      

Answer: 2

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

​

z-score formula

z=\frac{300-250}{25}

z=

25

300−250

​

Plug in values

z=\frac{50}{25}

z=

25

50

​

Subtract

z=2

z=2

Divide

\text{They scored 2 standard deviations above the mean.}

They scored 2 standard deviations above the mean.

Answer:

they're both obtuse angles, the ones highlighted in red.

Answer:

m∠C = 72°

BA = 8.6

AC = 2.8

Step-by-step explanation:

We can start by finding the sum of all angles in a triangle to find angle C. The sum of all angles is 180°, so we can write the equation:

m∠A + m∠B + m∠C = 180°

And substitute what we have:

90° + 18° + m∠C = 180°

108° + m∠C = 180°

m∠C = 72°

In order to find the side BA, we can use trig functions. We are given the hypotenuse and we are looking for the side adjacent to ∠B. The trig function that relates the two is cosine. We can set up the equation as follows:

cos(∠B) = [tex]\frac{BA}{BC}[/tex]

cos(18°) = [tex]\frac{BA}{9}[/tex]

9 * cos(18°) = BA

BA ≈ 8.559508647

And when we round, we get:

BA = 8.6

In order to find the side AC, we can use trig functions. We are given the hypotenuse and we are looking for the side opposite to ∠B. The trig function that relates the two is sine. We can set up the equation as follows:

sin(∠B) = [tex]\frac{AC}{BC}[/tex]

sin(18°) = [tex]\frac{AC}{9}[/tex]

9 * sin(18°) = AC

AC ≈ 2.781152949

We can round this to:

AC = 2.8

Answer:

x+84=180

Step-by-step explanation:

a triangle has a total angle degrees of 180

Answer:

x + 84 = 180

Step-by-step explanation:

The sum of all the interior angles of a triangle is 180. So basically, x plus the other two angles would have to equal 180.

Answer:

38

Step-by-step explanation:

The range of a data set is the smallest number subtracted from the largest number.

[tex]39,41,5,43,26,7,43,24,41[/tex]

In this data set, the largest number is 43 and the smallest number is 5.

[tex]43-5=38[/tex]

Therefore, 38 is the range of this data set.

Step-by-step explanation:

[tex]area = length \times width \\ = (4x + 3) \times (2x + 2) \\ = ( {8x}^{2} + 8x + 6x + 6) \\ = ( {8x}^{2} + 14x + 6) \: {units}^{2} [/tex]

Answer:

[tex](8x + 14x + 6)^{2}[/tex]

Step-by-step explanation:

Area of a rectangle is length x breadth

In the given figure, the length is 2x + 2 and breadth is 4x + 3

So, the area would be:-

(2x + 2) (4x + 3)

[tex]8x^{2}[/tex] + 6x + 8x + 6

So the area would be => [tex](8x + 14x + 6)^{2}[/tex]

Answer: Angles: 42°, 114°, 24°, 30°, 150°.

Step-by-step explanation:

Answer:

D.) Bring in the computer and the criminal when they come to court.

It came in my test.

Answer: 6

Step-by-step explanation: subtract 13 from 37, you get 24. divide 24 by 4.

Question: Find the perimeter of the right triangle. If necessary, round to the nearest tenth. 4 cm 15 cm a. 15.5 cm

b. 30 cm

c. 60 cm

d. 34.5 cm​

Answer:

d. 34.5 cm

Step-by-step explanation:

Applying

Perimeter of the right triangle (P) = a+b+c

P = a+b+c.................... Equation 1

But we can find the hyotenuse (a) using pythagoras theorem

a² = b²+c²

a = √(b²+c²)............... Equation 2

Substituting equation 2 into equation 1

P = √(b²+c²)+b+c................... Equation 3

From the diagram,

Given: b = 4 cm, c = 15 cm

Substitute these values into equation 2

P = √(4²+15²)+4+15

P = √(241)+4+15

P = 15.5+4+15

P = 34.5 cm

Hence the right answer is d. 34.5 cm

Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

[tex]99.90 + 89.90 = 189.80[/tex]

Step 2: Find the sales tax of the result

[tex]\frac{8}{100}\times 189.8 = 15.184[/tex]

Step 3: Add the result from the total cost of both items

[tex]189.80 + 15.184 = 204.98[/tex]

The total cost of the hats and boots including sales tax is 204.98 dollars

Answer:

El comerciante NO PUEDE guardar todas las cajas de zapatos en el cajón

Step-by-step explanation:

Tenemos que encontrar el volumen de la caja.

Se nos dice en la pregunta que:

Coloca 20 a lo largo, 7 a lo ancho y 8 a la altura.

Volumen = Largo × Ancho × Alto

Largo = 20, Ancho = 7, Alto = 8

Volumen = 20 × 7 × 8

= 1120

También se nos dice que: el comerciante tiene 1108 cajas de zapatos y quiere guardarlas en el cajón de su camión.

Comparando esto con nuestro cálculo anterior, el comerciante NO PUEDE guardar todas las cajas de zapatos en el cajón

Answer:

184

Step-by-step explanation:

V=lwh

(4)(5)(2) = 40

(7)(4)(3) = 84

(2)(5)(4) = 60

40 + 84 + 60 = 184

Answer:

The limit is -1

Step-by-step explanation:

As shown by the equation, it shows x -> -1

which represents x approaching the limit of -1

Answer:

There is enough statistical evidence to suggest that the department's claim is not true

Step-by-step explanation:

The mean weekly sales μ₀ ≤ 2,400 packages

The period over which the weekly sales were measured = Over the last 6 months

The number of stores in the sample, n = 61 stores

The sample mean, [tex]\overline x[/tex] = 3,593

The sample standard deviation, s = 4919

The significance level = 7% = 0.07

The critical value approach

The null hypothesis, H₀; μ ≤ μ₀

The alternative hypothesis, Hₐ; μ > μ₀

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

We get;

[tex]t=\dfrac{3,593-2,400}{\dfrac{4,919}{\sqrt{61}}} \approx 1.894[/tex]

With df = n - 1 = 61 - 1 = 60 at 7% significant level, from a graphing calculator the critical-t,  = 1.495598

The p-value at the test statistic is between 0.01 and 0.005

Given that the p-value is less than the significant level, and the test statistic is larger than the critical-t we reject the null hypothesis, that the mean weekly aerosol sale is less than 2,400 packages.

Therefore, there is sufficient statistical evidence to suggest that the departments claim is not true and the mean sales of Aerosols have increased to more than 2,400 packages

Answer:

Step-by-step explanation:

Answer is in the pic I promise nothing bad.

answer:

you can't simplify that

step-by-step explanation:

3/2- /2 isn't a proper equation, therefore it cannot be simplified

please let me know if the issue is that you forgot the numerator, and in the instance that this is the case please type in the comments the numerator and i'll gladly change my answer

have a nice day!

Answer:

[tex]140[/tex]

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

[tex]3a+b+3=2a+2b+6[/tex]

Solving, we will get a in terms of b:

[tex]3a=2a+b+3,\\a=b+3[/tex]

Now we can substitute a for (b+3) into our equation:

[tex]5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}[/tex]

Therefore, the length of each side of this polygon is [tex]5(4+3)-2(4)+1=28[/tex].

Since the perimeter of the polygon consists of all five sides, the perimeter is:

[tex]p=28\cdot 5 =\boxed{140}[/tex]