Question 3(Multiple Choice Worth 5 points)
(01.03 MC)
Which number has a 4 that is 10 times greater than the 4 in 542?

A. 5,420

B. 54.2

C. 5.42

D. 0.542

The student's GPA is of 2.33.

Grade Point Average (GPA) is the measure used to summaries your academic achievement at Griffith.

Given:

A worth 4​ points,

B worth 3​ points,

C worth 2​ points,

D worth 1 point

The GPA is

= 3(3) + 1(3) + 2(4) + 2(2)/9+3+4+2

=9+3+8+4/18

=2.33

Hence, The student's GPA is of 2.33.

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The equation that we need to solve is:

(S + 2*S)*3h = 54mi

The speed of the slower cyclist is 6 mi/h

The speed of the faster cyclist is 12 mi/h.

Let's define S as the speed of the slower cyclist, thus 2*S will be the speed of the other cyclist.

They travel in opposite directions, and after 3 hours the travel a combined distance of 54 miles, then we can write the equation:

(S + 2*S)*3h = 54mi

With that equation, we can determine the speeds of the cyclists.

Solving for S we get:

(S + 2*S)*3h = 54mi

3*S = 54mi/3h = 18 mi/h

S = (18 mi/h)/3 = 6 mi/h

Then the speed of the slower cyclist is 6 miles per hour, and the speed of the faster cyclist is twice that, so it is 2*6 mi/h = 12 miles per hour.

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The graph of the equation (y = x ) is attached below and this can be determined by using the point-slope form of the line.

Given :

A line with a slope of 1 that passes through the point (2,2).

The following steps can be used in order to sketch the graph a line with a slope of 1 that passes through the point (2,2):

Step 1 - First, determine the equation of the line that passes through the point (2,2) and has a slope of 1

Step 2 - Point-slope form can be used in order to determine the equation of a line.

y-y1 = m(x- x1)

where m is the slope and (x1, y1)  is the point on the line.

Step 3 - Substitute the known terms in the above formula.

y-2 = 1(x-2)

Step 4 - Simplify the above equation.

y-2=x-2

x=y

Step 5 - Now, graph the above equation. The graph of the equation

(y = x ) is attached below.

                                                                                                                         For more information, refer to the link given below:

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Answer:

$14

Step-by-step explanation:

The tie costs x.

The shirt costs x + 29

Together they cost $57.

x + x + 29 = 57

2x + 29 = 57

2x = 28

x = 14

Answer: $14

Answer:

14

Step-by-step explanation:

Tie is X

Shirt is x + 29

So,

X+X+29= 57

2x+29= 57

57-29= 2x

28=2x

X= 14

So tie is 14 bucks

Answer:

x = 5

Step-by-step explanation:

The area of triangle XYZ is of 13.3 units².

The missing information are the vertices of the triangle, given as follows:

The area of a triangle is given by half the base multiplied by the height, that is:

A = 0.5bh

For this problem, the have that the base is the length of segment XZ, which is found applying the distance between two points as follows:

[tex]b = \sqrt{(1 + 3)^2+(-1 - 2)^2}[/tex]

b = sqrt(25)

b = 5.

The height is the distance between the midpoint of XZ and Y. The midpoint of XZ(mean of the coordinates) is (-1, 0.5), hence the height is:

[tex]h = \sqrt{(-1 - 3)^2+(4 - 0.5)^2}[/tex]

h = sqrt(4² + 3.5²)

h = 5.32.

Thus the area of the triangle is given by:

A = 0.5 x 5 x 5.32 = 13.3 units².

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==================================================

Work Shown:

i = 28

r = 8% = 0.08

t = 3 months = (3/12) year = 0.25 year

-----------

i = P*r*t

28 = P*0.08*0.25

28 = P*0.02

P = 28/0.02

P = 1400

Side notes:

Answer: f(x)=(-6x-2)/3

Step-by-step explanation:

f(x)= 6x-2

f(x)= (6x-2)*1/3       ==>Vertical compression

f(x)=(6x-2)/3

f(x)=(6(-x)-2)/3      ==> reflection over y-axis is when x is being negated

f(x)=(-6x-2)/3

Answer:

11 inches of wire will cost 66 cents

Step-by-step explanation:

14 inches - 84 cents

find unit rate by dividing 84 by 14

84/14=6

so is is 6 cents per inch

so multiply 6 by 11

11 inches of wire will cost 66 cents

Answer:so dividing you add a extra zero behind the dot or point while multiplying you decrease the decimal to a whole number

if it is right pls give me brainliest

Step-by-step explanation:The relationship between 0.8 divided by 10^2  and 0.8x10^2 is that  0.8 divided by 10^2 means you add extra zero to the dot like this 0.008 so what it mean is that  10^2 is to add extra zeros in front of the point or dot in 0.8  while 0.8x10^2 decreases the zero like this 80 so we remove the 0 in 0.8 which mean 0.8 is no longer a decimal but a whole number now and then add a extra zero because 10^2  mean  add two zeros so if you see a number infornt of 10^  like 2 is how many zeros you add. so you add to extra zeros to 0.8 which decreases

Answer: a) 24 b) infini

Step-by-step explanation: a) parce que tu peut faire que 24 somme pour faire 23. B) infini car tout plus haut 100 fonctione

The 48 inches allowable minimum height of a rider and the 52 and 2.5 mean and standard deviation of the height of the children in the camp of 140 campers, by the Z–Score gives the number of campers allowed as approximately 132 campers.

The required height of riders is at least 48 inches.

The mean height of the children = 52 inches

The standard deviation of the children's height = 2.5 inches

The number of campers at the camp, n = 140

Required: The number of the 140 campers that will be allowed on the ride

Solution:

The Z–Score of the allowable campers is found using the equation;

[tex]z = \frac{x - \mu}{ \sigma} [/tex]

Which gives;

[tex]z = \frac{48 - 52}{2.5} = - 1.6[/tex]

From the Z–Score table, the probability (proportion) of a camper's height to be less than 48 inches is P(x < 48) = 0.05480

Therefore;

The probability that the height of a camper is more than 48 inches is given by the equation;

P(x > 48) = 1 - P(x < 48) = 1 - 0.05480

Which gives;

P(x > 48) = 1 - 0.05480 = 0.9452

Which gives;

The number of campers allowed, c, is given by the equation;

c = n × P(x > 48)

c = 140 × 0.9452 = 132.328 ≈ 132

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Answer:

924.95 %

Step-by-step explanation:

9.2495 x 100% = 924.95 %

Answer:

8

Step-by-step explanation:

(4/5)/(1/10)

oreja

take the top most number and bottom most number, multiply the two. Then multiply the two middle numbers.

(4*10)/(5*1)

Simplify and you get:

40/5

=8

Answer:

40

Step-by-step explanation:

another answer to something elsse it might help Solve for x x-4=10. x − 4 = 10 x - 4 = 10. Add 4 4 to both sides of the equation. x = 10+ 4 x = 10 + 4. Add 10 10 and 4 4. x = 14 x = 14.

Answer:X=40

Step-by-step explanation:

Answer:

B) The graph will not be symmetrical because the rates at which Jackson walks to and from his house are not equal.

Step-by-step explanation:

there you go I hope this help! :)

The graph will not be symmetrical because the rates at which Jackson walks to and from his house are not equal (option b).

Using an absolute value function to model the distance from his house would imply that the distances from his house are the same for both the outbound and return journeys, which is not the case in this scenario.

The rates at which Jackson walks to and from his house are not equal, as indicated by the different times taken for each leg of the journey (20 minutes to get away from his house and 30 minutes to return). This means the graph of the distance over time would not be symmetrical around a vertical line.

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The complete question is:

Jackson left his house and walked at a constant rate. After 20 minutes he was 2 miles from his house. Jackson then walked back towards his house at a constant rate. After another 30 minutes he arrived at his house.

Why should Jackson not use an absolute value function to model the distance from his house d after t minutes?

OA) The graph will be symmetrical because the rates at which Jackson walks to and from his house are equal.

OB) The graph will not be symmetrical because the rates at which Jackson walks to and from his house are not equal..

OC) The graph will be symmetrical because the rates at which Jackson walks to and from his house are not equal.

OD) The graph will not be symmetrical because the rates at which Jackson walks to and from his house are equal

Answer: 10%

Step-by-step explanation:

Answer: 800

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

a) The length of the side AB is approximately 11.276 meters.

b) The area of the base of the pyramid is approximately equal to 6.161 square meters.

c) The volume of the pyramid is equal to 16.429 cubic meters.

a) The picture shows a pyramid with a triangular base, the triangle has one obtuse angle and the length of the side AB can be found by the law of the sine:

6 / sin 110° = AB / sin 30°

AB = 6 × (sin 30° / sin 110°)

AB ≈ 3.193 meters

The length of the side AB is approximately 11.276 meters.

b) First, find the length of the side AC:

6 / sin 110° = AC / sin 40°

AC = 6 × sin 40° / sin 110°

AC ≈ 4.104 meters

Second, determine the area of the triangular base by Heron's formula:

s = 0.5 · (AC + BC + AB)

s = 0.5 · (4.104 m + 6 m + 3.193 m)

s = 6.649 m

A = √[s · (s - AC) · (s - BC) · (s - AB)]

A = √[6.649 · (6.649 - 4.104) · (6.649 - 6) · (6.649 - 3.193)]

A ≈ 6.161 square meters

The area of the base of the pyramid is approximately equal to 6.161 square meters.

c) The volume of the pyramid can be found by using the following expression:

V = (1 / 3) · A · h

Where:

If we know that A ≈ 6.161 square meters and h = 8 meters, then the volume of the pyramid is:

V = (1 / 3) · (6.161 m²) · (8 m)

V = 16.429 m³

The volume of the pyramid is equal to 16.429 cubic meters.

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To earn $100 profit Manu should get the order of 22 glasses.

Given that, the cost price of a drinking glass=$8 and the selling price = $13.

When, in a transaction, the selling price is greater than the cost price, it means we earn a profit. The basic formula used for calculating the profit is Profit = Selling Price - Cost Price.

Let x = the number of glasses and y = profit from selling x glasses.

Now, y=(13-8)x-10

Assumed that the order is x glasses to earn a profit of $100.

(13-8)x-10=100

⇒5x-10=100

⇒5x=110

⇒x=22

Therefore, to earn $100 profit Manu should get the order of 22 glasses.

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The value for which the ball's height is 28 feet are 0.817sec and 1.683sec using quadratic equations.

What is a quadratic equation?

ax^2 + bx + c = 0

where x represents an unknown, and a, b, and c represent known figures, where a ≠ 0. is still, not quadratic, as there's no ax^2 term,( If a = 0( and b ≠ 0) also the equation is direct.)

Given,

h(0)=6 ft (six)

v(0)=40 ft/sec (fourty)

h(t)=6+40t-16t2 (equation)

for h=28 ft(twenty eight)

28=6+40t-16t2 (equation)

or 16t2 - 40t + 22 = 0 (equation)

or 8t2 - 20t + 11= 0(equation)

on solving the quadratic equation

t=0.817sec and 1.683sec (answer)

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The mixed number as an improper fraction is 37/8

The diameter is give as:

Diameter = 4 5/8

Next we convert the above number to an improper fraction

The numerator is calculated as

Numerator = 8 * 4 + 5

This gives

Numerator = 37

Hence, the mixed number as an improper fraction is 37/8

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set, in mathematics and logic, any collection of objects (elements), which may be mathematical (e.g., numbers and functions) or not. A set is commonly represented as a list of all its members enclosed in braces. The intuitive idea of a set is probably even older than that of number.

Let C=15, 16, 17, 18, and 19) and U=x | x is a full number and 0 x 19). Use the listing technique to write U U C.

UUC=

D U E = { 16, 18, 19, 20, 21 }

U stands for the union of sets.

We combine all of the components from the two groups.

16, 19, 21, and 16, 18, 19, 20 are the elements in sets D and E, respectively.

Therefore, we combine all of their components. The shared components of both sets are written just once.

As a result, there are 16, 18, 19, 20, and 21 elements in the set D U E.

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Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.

This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:

The problem then asks the proportion of players in the sample with scores that are less than 2300.

An histogram is a graph that shows the number of times each element of x was observed.

In the missing information section, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have scores that are less than 2300, hence the proportion is given by:

p = 45/50 = 0.9.

Thus 90% of the players in the sample have scores that are less than 2300.

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The homeowners pay a $25 monthly usage fee and $3 per hundred cubic feet for water number line is- 75,100

Given:

In Town A

$25 monthly usage fee

$3 per hundred cubic feet for water.

In Town B,

homeowners pay $2.00 per hundred cubic feet and a $50 monthly

For town A=25×3=75

For town B=50×2=100

When we write numbers on a number line, we can easily compare them and execute simple arithmetic operations on them. A number line's origin is defined as zero (0). The numbers to the left of 0 are all negative, whereas the numbers to the right of 0 are all positive. So, as we walk towards the right on a number line, the value of numbers increases.

A number line includes both positive and negative numbers. A negative number line is formed by the segment of the number line to the left of zero.

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Answer:

See below

Step-by-step explanation:

Here is one possible mistake:

Let y= u = ( 2ax^2 +c)^2          expand

        4 a^2 x^4  + 4 a x^2 c   + c^2

  dy/ dx   then becomes  

16 a^2 x^3 + 8 a x c  <====== you have  8 a^2x^3 + 8axc  

   MAYBE ??

[tex]y = (2ax^2 + c)^2 (bx^2 - cx)^{-1}[/tex]

By the product rule,

[tex]\dfrac{dy}{dx} = \dfrac{d(2ax^2+c)^2}{dx} (bx^2-cx)^{-1} + (2ax^2+c)^2 \dfrac{d(bx^2-cx)^{-1}}{dx}[/tex]

For the first derivative on the right side, let [tex]u=2ax^2+c[/tex]. Then by the chain rule,

[tex]\dfrac{d(2ax^2+c)^2}{dx} = \dfrac{du^2}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = \dfrac{du^2}{du}\dfrac{du}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = 2u \dfrac{du}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = 2(2ax^2+c) \dfrac{d(2ax^2+c)}{dx}[/tex]

and by the power rule, this reduces to

[tex]\dfrac{d(2ax^2+c)^2}{dx} = 2 (2ax^2+c) (4ax) \\\\ ~~~~~~~~~~~~~~~~~~ = 8ax (2ax^2 + c)[/tex]

For the other derivative, let [tex]v = bx^2-cx[/tex]. Then

[tex]\dfrac{d(bx^2-cx)^{-1}}{dx} = \dfrac{dv^{-1}}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = \dfrac{dv^{-1}}{dv}\dfrac{dv}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = -v^{-2} \dfrac{dv}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = -(bx^2-cx)^{-2}\dfrac{d(bx^2-cx)}{dx}[/tex]

which reduces to

[tex]\dfrac{d(bx^2-cx)^{-1}}{dx} = -(bx^2 - cx)^{-2} (2bx - c)[/tex]

So one expression for the derivative we want is

[tex]\dfrac{dy}{dx} = 8ax (2ax^2 + c) (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2 - cx)^{-2} (2bx - c)[/tex]

101011 in base 2 is equal to 43 in base 10