do i set them equal to each other?

Answer:

268Cm2

Step-by-step explanation:

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Victor takes approximately 7 weeks to save 150.

Given,

Initial savings of victor = 50

Savings added by victor weekly = 15

We have to find the time taken by victor to save 150.

We know that victor saved 50 which he got for his birthday.

Then, 150 -50 = 100

That is by saving 15 weekly victor has to make a total of 100.

Therefore, to find the time taken by victor to save 100 is:

100 / 15 = 6.66, approx 7

That is victor takes approximately 7 weeks to save 150.

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The distance travelled by the elevators floor is 41.25 feet.

The floor of the elevator was = 30.5 feet above the ground level.

Initial position = + 30.5 feet

Now, the elevator is 10.75 feet below the ground level.

Final position = - 10.75 feet.

So, the distance travelled by the floor of the elevator is:

Distance = + 30.5 feet - ( - 10.75 feet)

Distance = 30.5 feet + 10.75 feet

Distance = 41.25 feet.

Therefore, we get that, the distance travelled by the elevators floor is 41.25 feet.

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Answer:

(a): 190

(b): 750

Please see below for the steps.

Step-by-step explanation:

(a):

Use points (0,1000) and (3.1, 1589)

Use slope formula. The slope formula is also used to find average rate of change (just so you know).

y2-y1/x2-x1

1589-1000/3.1-0=589/3.1=190

Answer for (a) is 190

(b):

Use points (12.4, 4100) and (15.5, 6425)

Use slope formula.

y2-y1/x2-x1

6425-4100/15.5-12.4=2325/3.1=750

The answer for (b) is 750

Hope this helps!

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Have a great day!

Explanation:

The number 1 is spelled as "one", which clearly has an "e" in it. This contradicts the original statement that we don't need this letter.

The other numbers of 6 (six), 2 (two), and 4 (four) don't involve "e"s at all. So they can be ruled out.

Using equations of the form y=f(x), you may be able to modify the graph in various ways.

For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.

X     F(X)      F(X)-1

-1       1             0

1        3            2

3       5            4

5       7            6

7       9            8

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Now let's process the ASCII text file using the IMPORT and EXPORT procedures.

Must specify ASCII text file delimiter in DBMS options.

PROC IMPORT DATAFILE ="c:\sas\ego.csv" OUT=jeeshim.egov DBMS=CSV REPLACE;

GETNAMES=YES;

DATAROW = 2;

RUN

DATAFILE lets you import an external file.

Designates a SAS data file.

The DBMS specifies the type of external file. For example, "DBMS=DLM", "DBMS=CSV", and "DBMS=TAB".

REPLACE overwrites the existing file, if any.

GETNAMES reads the variable names from the first line of the data file.

The DATAROW option tells the row from which SAS reads the observations.

GETNAMES and DATAROW require a semicolon at the end.

This example exports the data set to an ASCII file by the specified range. DATA and OUTFILE respectively define the set of data to be output and the external file to which the data is output.

PROC export

DATA = jeeshim.egov

OUTFILE="c:\sas\ego.txt"

DBMS = DLM REPLACE;

RUN;

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Answer:

If the student is female then the probability that the student will participate is about 67%

If the student is male the probability that they participate is about 33%

Step-by-step explanation:

It is given that 48% of the students in the school are male. That means that the remaining students in this school are (for the sack of this problem) female out 100% of students. You would subtract 48% from 100% which is 52% which is the percentage of students in the school who are female.

From this point you need to find the percentage of students who would participated in the survey. To do that you would divide the number of the type of student who did the survey by the type of student in the school. For example for the male you would divide 16% from 48% or 16 ÷ 48 which would equal to the proposed of males who would participate which is about 33% of males. You would do the same math for finding the probability of females so it would be 35 ÷ 52 which is about 67% of females.

Even though the random student is more likely to be female the chances of the gender of the student is almost 50%/50% because if you round it to the nearest tenth it would be 50.

Answer:

2.848 pound

Step-by-step explanation:

On 5 pizzas = 14.24 pound cheese

On 1 pizza = 14.24/5 pound

=2.848 pound

After simplification, the value of the given expression (12x)⁰(6x⁻⁴) is 6/x⁴.

So, (12x)⁰(6x⁻⁴):

Therefore, after simplification, the value of the given expression is 6/x⁴.

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The probability that each of the balls will be; a) P( of the same color) = 0.08875. b) P ( of different color) = 0.247678

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

The Number of red balls = 5

The number of blue balls = 6

The number of green balls = 8

The Total number of balls = 5 + 6 + 8 = 19

Then with three balls selected at random, by using combination method ;

nCr = n!/(n-r)!r!

a) P( of the same color) = 5C3 + 6C3 + 8C3 / 19C3

=  86/969 = 0.08875

b) P ( of different color) = 5C1 X 6C1 X 8C1 /19C3

= 240/969 = 0.247678

Hence, The probability that each of the balls will be; a) P( of the same color) = 0.08875. b) P ( of different color) = 0.247678

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The solution of equation 4/x-2 = x-1/x-2 is x = 5

In this question, we have been given an equation.

4/x-2 = x-1/x-2

We need to find the solution of given equation.

4/x-2 = x-1/x-2

Here, denominator is same on both the sides.

So, we can cancel it from both the sides.

So, given equation would be,

4 = x - 1

4 + 1 = x

x = 5

We need to check above solution.

Substitute x = 5 in LHS of given equation.

LHS

= 4/x - 2

= 4/(5 - 2)

= 4/3

Also, substitute x = 5 in RHS of given equation.

RHS

= x - 1 / x - 2

= (5 - 1)/(5 - 2)

= 4/3

So, LHS = RHS

Therefore, the solution of equation 4/x-2 = x-1/x-2 is x = 5

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LCM of the given expressions x² +3x - 4, x² +2x - 8 , and x² - 4x +4 is

(x-2)²(x+ 4)(x-1).

As given,

Given expressions  x² +3x - 4, x² +2x - 8 , and x² - 4x +4

Simplify by factorizing them,

x² +3x - 4 =x² +4x-x-4

               =(x +4)(x -1)

x² +2x - 8 =x² + 4x -2x -8

                =(x+4)(x-2)

x² - 4x +4 = x² -2(2x) +(2)²

                = (x-2)²

LCM = (x-2)²(x+ 4)(x-1)

Therefore, LCM of the given expressions x² +3x - 4, x² +2x - 8 , and

x² - 4x +4 is (x-2)²(x+ 4)(x-1).

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Step-by-step explanation:

2.0

2.5cm,

8888888888888888822

A system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made is   28x + 2(4x) = 144

Let x be the number of working hours

She must pay the worker $28 per hour

So, Cost of labor for x hour = 28x

The worker created an average of 4 shirts per hour.

So, number of shirts produced in x hours = 4x

Cost of 1 shirt = 2

Cost of 4x shirts = 2 (4x)

Total expenses for labor and materials = 28x + 2(4x)

We are given that Aaliyah total expenses for labor and materials were $144

So,  28x + 2(4x) = 144

28x + 8x =  144

x = 4

Hence a system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made is  28x + 2(4x) = 144

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False , A permutation is an arrangement of objects in which order is NOT important.

In statistics, what does a probability mean?

This sentence is false.

A permutation is an arrangement of objects in which order is NOT important.

True sentence is -

State whether following sentence is true or false. If false, replace the underlined term to make a true sentence.

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The statement that any two right triangles with the same hypotenuse have the same area is false.

Hypotenuse is defined as the longest side of a right-angled triangle.

let us take two triangles ΔXYZ & ΔDEF with same hypotenuse

for ΔXYZ let, XY(height)=7cm, YZ(base)=24cm, XZ(hypotenuse)=25cm.

for ΔDEF let, DE(height)=15cm, DF(base)=20cm, DF(hypotenuse)=25cm.

Area of a Right Angled Triangle is given by [tex]=\frac{1}{2} *base*height[/tex]

For ΔXYZ

Area=(1/2)*base*height

= (1/2)*24*7

=12*7

=84 ......(1)

For  ΔDEF

Area=(1/2)*base*height

= (1/2)*20*15

=10*15

=150 .......(2)

From equation (1) & (2) we can conclude that two triangles having same hypotenuse may not have same area.

Therefore , the statement that any two right triangles with the same hypotenuse have the same area is false.

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Answer:119 times

Step-by-step explanation:

833/7=119

Answer:

1 /(√5-4)

Step-by-step explanation:

√5 is less than 3.

Therefore

f(√5) = 1 /(√5-4)

Answer:

Step-by-step explanation:

somewhat

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

Reason:

log(80) - log(4)

log(80/4)

log(20)

The rule used is log(A) - log(B) = log(A/B)

Using a calculator,

which helps confirm the answer. The logs I used were base 10, but it could be any base really.

Answer:

relation

Step-by-step explanation:

To be a function each element from set x has only one unique element in y.

In our case x = 0 has two outcomes y = 1 and y = 3, so is a relation.

f(x) = y

f(-2) = 5

f(0) = 1  and f(0) = 3

f(5) = 8

f(7) = 5

Some memory aids:

Think about if we count how many likes we got on a social media post at the end of the day, then we can not have different numbers for same post yet we can have the same number of likes on different posts to be a function.

f(post 0) = 1  like  and f(post 0) = 3 likes ❌ not a function because same post has different numbers of likes at the end of the day -not possible

f(post -2) = 5 likes and f(post 7) = 5 likes ✅ could be a function because different posts can have the same number of likes at the end of the day

The possible outcomes of choosing a letter randomly-

PROBABILITY is the given letter.

As a result, the total number of letters is 11 vowels 4 consonants = 7.

So I the chance of opting a vowel is4/11

ii) the chance of opting a consonant is7/11

PROBABILITY is the given letter.

As a result, the total number of letters is 11 vowels 4 consonants = 7.

So I the chance of opting a vowel is4/11

ii) the chance of opting a consonant is7/11

The probability expressions listed below might help you better comprehend probability generalities.

trial An trial is a trial or operation that's carried out to induce a result.

A sample space is made up of all of the possible results of an trial.

Favorable outcome is an circumstance that has delivered the intended result or event. For illustration, if we roll two bones and admit the aggregate of the figures on the bones as 4, the possible/ favorable possibilities.

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The DEXA is the most accurate form of body composition measurement.

What is an x-ray?

An X-ray is a rapid and painless technique which is commonly used to generate images of the internal parts of a human body. It is a very effective and convenient way of looking for bone damages and other problems.

Explanation

The statement 'the dual-energy x-ray absorptiometry (DEXA) is the gold standard measurement for body composition is true. Here, the gold standard means the most accurate form of measurement.

Hence, the given statement is true.

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Answer:

S' (- 3, 7 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

S (3, 7 ) → (- 3, 7 )

Answer:

$19,192,529,147.31

Step-by-step explanation:

Daily compounded = 10,000 * (1.0133)^(365*3) = $19,193,611,648.31

Semi-annually compounded = 10,000 * (1.0133)^(2*3) = $10,825.01

The total difference in cost is 19,193,611,648.31 - 10,825,01 which is $19,192,529,147.31

The length, in inches, of the perimeter of its base is 5in

A cube is a three dimensional object with 6 faces and 12 edges.

The formula for calculating the volume of a cube is expressed according to the equation;

V = l³

l = ∛V

where

l is the side length of the cube

Given the following parameters

V = 125in³

Substitute

125 = l³

l = ∛125

l = 5in

Hence the length, in inches, of the perimeter of its base is 5in

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Answer:

Step-by-step explanation:

The values of functions are as follows:

g(-6) = -6

g(0) = 5

g(7) = 8

h(-6) = 10

h(0) = -1

h(7) = -4

Given, that function g(x) = f(x)/3 and function h(x) = -g(x) + 4

Now to calculate the function values on different values of x.

g(x) = f(x)/3

h(x) = -g(x) + 4

1 )

When x = -6

f(-6) = -18

g(-6) = f(-6)/3

g(-6) = -18/3

g(-6) = -6

h(-6) = -g(-6) + 4

h(-6) = 6 + 4

h(-6) = 10

2)

When x = 0

f(0) = 15

g(0) = f(0)/3

g(0) = 15/3

g(0) = 5

h(0) = -g(0) + 4

h(0) = -5 + 4

h(0) = -1

3)

When x = 7

f(7) = 24

g(7) = f(7)/3

g(7) = 24/3

g(7) = 8

h(7) = -g(7) + 4

h(7) = -8 + 4

h(7) = -4

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