Which set of side length form a right triangle?
A) 3ft, 5ft, 6ft
B) 15ft, 39ft, 36ft
C) 7ft, 10ft, 26ft
D) 12ft, 13ft, 14ft

Please explain when you answer

Answer:

4 hours

Step-by-step explanation:

The exponential growth equation is given by

y = a (b)^(x)

where a is the initial value, b is the growth rate and x is the time from the initial value

We know the initial value is 300 and the growth rate is 2

y = 300 (2)^(x)

We want to know the time when we have 4800 bacteria

4800=300 *2^(x)

Divide each side by 300

4800/300 = 300/300 * 2^(x)

16 = 2^(x)

Rewrite 16 as a power of 2

2^4 = 2^(x)

x=4

It will take 4 hours

For this case we have that by definition, the volume of a rectangular prism is given by:

[tex]V = A_ {b} * h[/tex]

Where:

[tex]A_ {b}:[/tex] It is the area of the base

h: It's the height

According to the data we have:

[tex]length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}[/tex]

[tex]width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}[/tex]

Then:

[tex]A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}[/tex]

Thus, the volume is:

[tex]V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875[/tex]

Answer:

[tex]76.875 \ ft ^ 3[/tex]

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

6, 6, 6, 7, 8, 8, 29

We will calculate the measures of central tendency:

1) Mode - the most occurring element in the data set.

So, Mode = 6

2) Median - the middle value of organised data set

So, Median = 7

3) Mean - the average of all data set

So, Mean = [tex]\dfrac{6+6+6+7+8+8+29}{7}=\dfrac{70}{7}=10[/tex]

So, we can see that Mode and Median are giving the closest value to each other, whereas Mean is giving the farthest value as compared to rest.

Hence, Mean is the least appropriate for describing the given data set.

Thus, Third option is correct.

Answer:

B

Step-by-step explanation:

15*21=315

12*15=180

180/2=90

315+90=405

Answer:

For direct variation, use the equation y = kx, where k is the constant of proportionality. For inverse variation, use the equation y = k/x, again, with k as the constant of proportionality. These problems might use the word 'proportion' instead of 'variation,' but it means the same thing.

Step-by-step explanation:

Final answer:

Direct and inverse variation equations have distinct relationships between variables: direct variation involves both variables increasing at a constant rate, while inverse variation involves one variable decreasing as the other increases.

Explanation:

Direct variation equations and inverse variation equations are different in their structures and relationships between variables. In direct variation equations, as one variable increases, the other also increases at a constant rate, while in inverse variation equations, as one variable increases, the other decreases at a constant rate.

For example, in a direct variation equation like y = kx, as x increases, y increases at a constant rate determined by k. In contrast, in an inverse variation equation like y = k/x, as x increases, y decreases at a constant rate determined by k.

Answer:

[tex]\$4,081.54[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ P=\$2,250\\ r=0.06\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$2,250(1+\frac{0.06}{4})^{4*10}=\$4,081.54[/tex]  

Answer:

The first term is 28.

Step-by-step explanation:

Given: 8th term of Geometric sequence , [tex]a_8=-3584[/tex]

and 3rd term of Geometric Sequence, [tex]a_3=112[/tex]

We have to find First term of given geometric Sequence.

Let a be the first term of geometric sequence.

We know that,

[tex]a_n=ar^{n-1}[/tex]

So,

[tex]\frac{a_8}{a_3}=\frac{ar^{8-1}}{ar^{3-1}}=\frac{-3584}{112}[/tex]

[tex]\frac{r^{7}}{r^{2}}=-32[/tex]

[tex]r^5=-32[/tex]

[tex]r=-2[/tex]

So, [tex]a_3=112[/tex]

[tex]a\times(-2)^{2}=112[/tex]

[tex]a=\frac{112}{4}=28[/tex]

Therefore, The first term is 28.

Answer

You need to simplify the function first until the exponent turns into a plain x. Step 1 Leave 1/3 alone that is the a value, initial value. You are looking for the base

Step 2 Deal with the parenthesis. Factor 24 and you will get 2 and the cube of 3. 

Step 3 Separate the exponent (2) (x)

Step 4 Now square each term inside the parenthesis

2 squared and cube of 3 square  the 2^2 will be 4, the other expression means  cube of 3 times cube of 3 and that's cube of 9

Step 5 Your base should be (4 cube of 9)

f'(x) = C, indicating a constant rate of increase.

The function given is f(x) = (1/3) * ((³√24)²) * x.

To find the rate of increase (or the derivative of this function), we need to rewrite the function in a simpler form. Firstly, simplify the constant:

Let's break it down:

Next, we multiply this by 1/3:

Now the function becomes:

This is a linear function where C is a constant coefficient. Therefore, the rate of increase (or the derivative) of f(x) with respect to x is just the constant C.

We then find the derivative:

As there are no x terms left, the rate of increase is constant and equal to C, which is (1/3)*24²/³.

Answer:

y = [tex]\frac{x+4}{-2}[/tex] or [tex]\frac{-x}{2}[/tex] -2

Step-by-step explanation:

This question is asking to find the inverse of the equation therefore you will have to interchange x and y

ie : x= -2y-4

THEN solve for y ( perform opposite operation )

x = -2y -4

(take -4 to the other side ) [it will be a +4 ]

x+ 4 = -2y

NOW take -2 to the other side [ you will divide everything on the left by -2]

[tex]\frac{x+4}{-2}[/tex] ( this could be your final answer )

OR

simplify

( NOT complusory)

[tex]\frac{-x}{2} - 2[/tex]

Final answer:

To find the inverse function of f(x) = -2x - 4, switch x and y and solve for the new y to get the inverse function f¹(x) = -0.5x - 2.

Explanation:

The question asks to find the inverse function of f(x) = -2x - 4. To find the inverse, we switch the roles of x and y in the equation and solve for the new y. Here are the steps:

Write the function as y = -2x - 4.

Swap x and y to get x = -2y - 4.

Solve for y to find the inverse function. Add 4 to both sides to get x + 4 = -2y, and then divide by -2 to find y = -0.5x - 2.

Therefore, the inverse function, f⁻¹(x), is y = -0.5x - 2.

Jade can buy a maximum of 6 magazines or 2 pies with her $24 weekly budget. The slope of her budget constraint is -2, representing the trade-off between pies and magazines. The opportunity cost of purchasing a pie is 3 magazines.

Jade has a weekly budget of $24, which she allocates between magazines and pies. Let's address the questions one by one:

The answer is phoenix is located at (-7,-10) it is written like this because you always have the x coordinate then the y coordinate

Answer:

From the Information provided by the graph shown above, i can conclude that Phoenix's location on the graph is (-7,-10)

z=4. If z varies inversely as w, and z=5 when w=8, then when w=10 the value of z is 4.

This exercise is an example of  reverse proportionality, Two magnitudes a and b are inversely proportional when there is a constant k such that

a⋅b=k, where constant k is called the proportionality constant.

Then if z varies inversely as w, and z=5 when w=8

z.w=k -------> 5.8=k -------> k=40

So, let's find z when w = 10. With k = 40

z.w=K, clear z from the equation

z=k/w -------> z=40/10 -----> z=4

Final answer:

To find z when w = 10 in an inverse variation equation, we can use the equation z = k/w. By substituting the given values and solving for the constant of variation, we find that when w = 10, z = 4.

Explanation:

To find the value of z when w is 10, we need to use the inverse variation equation. Inverse variation is represented by the equation z = k/w, where k is the constant of variation.

Given that z = 5 when w = 8, we can substitute these values into the equation to find k. 5 = k/8. Solving for k, we get k = 40.

Now, we can substitute the value of k and w = 10 into the equation z = k/w. z = 40/10 = 4. Therefore, when w = 10, z = 4.

Simply divide 1.75 by 5 to find that 0.35 mL of water will be in each beaker.

Answer:

Step-by-step explanation:

Answer: Option B is correct.(1, -5) lies on the graph

Answer:

(1,-5)

Step-by-step explanation:

Answer:

Option D: $1,615.38

Step-by-step explanation:

we know that

1 year=52 weeks

so

Calculate the bi-weekly salary

Divide the total salary by 26 weeks

$42,000/26=$1,615.38

formula for area of circle is

[tex]\pi {r}^{2} [/tex]

the diameter is 2 times the radius.

so if diameter is 11 then radius is 5.5

so then the answer will be 94.985

Answer:

[tex]\large\boxed{SA=397.5\ in^2}[/tex]

Step-by-step explanation:

The formyla of an area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

b - base

h - height

Area of a base:

[tex]B=\dfrac{(15)(13)}{2}=97.5\ in^2[/tex]

Area of one triangle of lateral area:

[tex]L=\dfrac{(15)(10)}{2}=75\ in^2[/tex]

The Surface Area:

[tex]SA=B+4L\to SA=97.5+4(75)=397.5\ in^2[/tex]

(x+2)(x+2)

x^2+2x+2x+4

x^2+4x+4

Answer : C ( x^2+4x+4)

Answer:

C. x2+4x+4

Step-by-step explanation:

If you multiply it out:

(x)(x) + 2x + 2x + 2(2)

x2 + 4x + 4

Answer:

This is a vertical line, that passes through x=-2

Step-by-step explanation:

This is a vertical line, x=-2 means that no matter what value has 'y' the variable 'x' will be -2.

Watch the attached picture

Answer:

12:07 pm

Step-by-step explanation:

The question is on relative speed

Calculate the distance covered by truck after 3hours and 10 minutes

Given; speed of truck= 40mph

Time the truck took to travel before the car started to drive from point A= 3h 10 minutes

Change hours to minutes= (60×3) + 10 = 190 minutes

Formulae for speed, S=d/t where S is speed of truck, d is distance covered and t is time

if S=d/t then distance d=S×t

d= 40×190/60 =380/3 =126.67 miles

Finding the time the car catch up with the truck

t=d/S where d=126.67 miles and speed of car = 60mph

t= 126.67/60 = 2.11 hours

Change hours to minutes

1 hr=60minutes

2.11 hrs= 2.11×60=126.67 minutes⇒2hrs and 6.67 minutes

t⇒2 hrs 7minutes

Add to the departure  time

10.00 + 2: 07 = 12:07 pm

[tex]\bf \begin{array}{ccll} donuts&minutes\\ \cline{1-2} 30&60\\ 90&x \end{array}\implies \cfrac{30}{90}=\cfrac{60}{x}\implies \cfrac{1}{3}=\cfrac{60}{x}\implies x=180[/tex]

Answer: 180 minutes

Step-by-step explanation:

Cross multiply

90*60 = 5400

5400/30 = 180

Answer:

the answer is a

Step-by-step explanation:

5*2 is 10

10*2 is 20

20*2 is 40

5,10,20,40

Answer:

Step-by-step explanation:

Definition of absolute value:

|a| = a if a ≥ 0

|a| = -a if a < 0

Examples:

|2| = 2

|-2| = -(-2) = 2

|0.45| = 0.45

|-0.45| = -(-0.45) = 0.45

|1000| = 1000

|-1000| = 1000

Therefore

|1.7| = 1.7

Answer:

CP/P

Step-by-step explanation:

E.g Q.If 10 ounces of spicy popcorn is $2.50, how much is 20 ounces?

     A.10 ounces=$2.50    

        20 ounces=?20x2.50/10=$5  

So, the cost of 20 ounces of spicy popcorn is $5

Answers:

c=0.25p

p=4c

c=.25p

c=1/4p

Answer:

3 units

Step-by-step explanation:

Answer:

I know I am a little late but the answer is 3

Step-by-step explanation:

I took the test part 1

Answer: No, 1/4 is equal to 0.25

Step-by-step explanation:

1/4

= 0.25

= 25%

* Hopefully this helps:) Mark me the brainliest:)

∞ 234483279c20∞

Answer:

no it is 1/4 is equal to .25 and 2.5 is 5/2

Step-by-step explanation:

Answer:

CD = 3

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

CB × CA = CD × CE , that is

4 × (4 + 6.5) = CD × 14

4 × 10.5 = 14CD

42 = 14CD ( divide both sides by 14 )

CD = 3

Answer:

Step-by-step explanation:

Sum and Difference Formula

cos( U +/- V ) = cosU*cosV -/+ sinU*sinV

cos( U - V ) = cos(70)cos(20) + sin(70)sin(20)

cos( U - V ) = cos (70 - 20)

cos( 50 ) = .642788

Answer:

[tex]\large\boxed{x=-3\ and\ y=-11\to(-3,\ -11)}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}-6x+y=7\\3x-y=2\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad-3x=9\qquad\text{divide both sides by (-3)}\\.\qquad\boxed{x=-3}\\\\\text{Put the value of x to the first equation:}\\\\-6(-3)+y=7\\18+y=7\qquad\text{subtract 18 from both sides}\\\boxed{y=-11}[/tex]

Answer is 70

Angle *2 = 35*2 = 70

The measure of angle EOD, formed by arc ED at the center O, is 70 degrees, given that angle ECD on the same arc is 35 degrees.

let's break down the step-by-step calculation for finding the measure of EOD, given that ECD is 35 degrees:

Recall that for any angle formed by an arc at the center of a circle (EOD in this case), it is twice the measure of the angle formed by the same arc at any point on the circumference (ECD).

Given that ECD is 35 degrees, we will use this information to find the measure of EOD.

Apply the rule that EOD = 2 × ECD.

Substitute the value of ECD into the formula: EOD = 2 × 35.

Calculate the result: EOD = 70 degrees.

Therefore, the measure of EOD, which is the angle made by the arc ED at the center O, is 70 degrees.

To know more about angle:

https://brainly.com/question/30147425

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