Help with this one please x Thankyou x

The algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K' is (x, y) => (x+1, y-8)

Translation is defined as the movement on a straight line

Given: quadrilateral HIJK to that translated H'I'J'K'

To determine the algebraic rule, we need to get the coordinates of  HIJK and H'I'J'K' and then subtract them to get the translation:

H => (x, y) = (4, 6)  |  H' => (x, y) = (5, -2)

I =>  (x, y) = (6, 4)   |  I' =>  (x, y) = (7, -4)

J => (x, y) = (4, 2)   |  J' => (x, y) = (5, -6)

K => (x, y) = (4, 2)  |   K' => (x, y) = (3, -6)

Using points H and H' (you can use any point):

The difference in x is 5-4 = +1 => x+1

The difference in y is -2-6 = -8 => y-8

Therefore, the algebraic rule describes the translation is (x, y) => (x+1, y-8). Option C is the answer

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Answer:

(x, y) => (x+1, y-8)

Step-by-step explanation:

Answer:

If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, R T is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.

In 3 hours and 45 minutes, at the speed of 300 km per hour, the distance covered by Tim is 1125 km.

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

The average speed of Tim = 300 km per hour,

And time of driving = 3 hours and 45 minuter = 3³/₄ hours

To find distance covered by Tim, use formula Distance = Speed×Time,

Distance = 300× 3³/₄

               = 300×15/4

               = 4500/4

               = 1125

The distance covered by Tim in 3 hours and 45 minutes is 1125 km,

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The recipe will be enough for Lucy and her friends to make smoothie.

From the information, they are making smoothie. This will be illustrated as:

1 1/3 cups of banana = 4/3 cups

1 1/2 cup of yoghurt = 3/2 cups

1 cup of strawberry.

3/4 cup of orange juice.

Based on the information, we've to find the total quantity of smoothie. This will be:

= 4/3 + 3/2 + 1 + 3/4

= 4 7/12

Therefore, the recipe will be enough for Lucy.

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Complete question

Lucy is making a smoothie by following the recipe below

Sunshine smoothie

1 1/3 cups banana

1/2 cup yogurt

1 cup strawberries

3/4 cup orange juice

Will this recipe make enough for Lucy and 3 friends to have 1 cup of smoothie? Explain.

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

Explanation:

Let's list the ways to roll a 6.

There are A = 5 items listed above.

Now let's list the ways to roll a sum of 7.

There are B = 6 items listed above.

Lastly, let's list the ways to roll a sum of 8.

There are C = 5 items listed above.

-------------

Summary so far:

We found there are

Therefore, we have A+B+C = 6+7+8 = 21 ways to roll either of those three sums. Each event is mutually exclusive.

This is out of 6*6 = 36 ways to roll two dice (whether we get those sums or not).

21/36 = (7*3)/(12*3) = 7/12 is the probability of getting any of those three sums mentioned.

7/12 = 0.5833 = 58.33% approximately

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

[tex]C(x)=500+1.25x[/tex]

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

[tex]R(x)=3.50x[/tex]

The speed of the boat in still water is 1miles per hour or 7miles per hour

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

The formula for speed = Distance /time

For upstream movement ,the boat will move against the velocity of the current and in down stream the boat will move with the velocity of the current.

Therefore speed of the boat in downward movement is (S+3) and the speed of the boat during upward movement is (S-3)

The general formula for speed= d/t

(S+3)= 20/5=4

or

(S-3)= 20/5= 4

Therefore, the speed of the boat in still water is

S= 4-3=1mile/hour

or

S= 4+3= 7miles/hour

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[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-1)}}} \implies \cfrac{3 +5}{1 +1} \implies \cfrac{ 8 }{ 2 } \implies 4[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-1)}) \implies y +5 = 4 ( x +1) \\\\\\ y+5=4x+4\implies {\Large \begin{array}{llll} y=4x-1 \end{array}}[/tex]

y+6=-4/3x+16/3 is equation of the line that is perpendicular to the line below and passes through the point (4,-6)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the slope of given line.

The line is passing through points (4, 0) and (0, -3)

m=-3-0/0-4

m=3/4

The slope of perpendicular lines is -1.

m.3/4=-1

m=-4/3

the equation of the line that is perpendicular to the line below and passes through the point (4,-6)

y-y₁=m(x-x₁)

y-(-6)=-4/3(x-4)

y+6=-4/3x+16/3

Hence, y+6=-4/3x+16/3 is the point slope form of line passing through (4,-6)

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The number of students in Mr Hassan's class is 33 and I assumed that each small square in the graph is 0.5 unit and that there are 10 small squares.

A bar chart displays information (data) by using rectangular bars of different heights.

A bar chart has a vertical axis with numbers on it, and a horizontal axis showing values of something that has been investigated.

from the graph, since each small square represent 0.5 unit, number of student that sored 1 mark = 3

number of student that scored 2 marks = 5

number of student that scored 4 marks = 2

number of student that scored 5 marks = 6

number of student that scored 8 marks = 12

number of student that scored 9 marks = 1

number of student that scored 4 marks = 4

Total number of students = 3 + 5+ 2+ 6 + 12 + 1 + 4 which is 33.

I assumed each small square to be 0.5

In conclusion the total number of student is 33

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The value of z = 1.15

The value of the p value is 0.124. vWe would fail to reject the null hypothesis

We have to find the sample proportion

This is given as x / n

where

x = 620

n = 1200

620 / 1200

= 0.516667

The null hypothesis that is to be tested is H0:p=.50

The alternative hypothesis that is to be tested as well is H1:p>.50

We are to test for the value of Z as well as P value through the use minitab software and make conclusions with the results.

In the result, the

1. The value of z is solved to be 1.15

2. The P value is 0.124. The value of the P value is very high, the decision would be for us to fail to reject the null hypothesis.

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Complete question

A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1200 registered voters and found that 620 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate.

We test

H0:p=.50

Ha:p>.50

(a) What is the z-statistic for this test?____.

(b) What is the P-value of the test?_____.

Answer:

620÷2=310 50% is half of 620

Step-by-step explanation:

The expression that shows how many dollars Seth earned is 15m.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Since Seth mowed his neighbor's lawn m times and earned 15 dollars each time.

The amount made will be:

= Cost for each mowing × Number of times

= 15 × m

= 15m

The expression is 15m.

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Answer:

15m

Step-by-step explanation:

Answer:

Be - Beryllium

The unit price for the 7.48 is $2 kg per bag and the unit price for the 7.94 is $2 per kg bag, there is no difference in unit rates of both the bag.

A unit rate means a rate for one of something.

Given that, Susan paid $15.84 for a 7.48 kg bag of dog food. A few weeks later, she paid $16.58 for a 7.94 kg bag at a different store.

15.48/7.48 = $2/kg

16.58/7.94 = $2/kg

Hence, there is no difference in between both the bags, hence either of them are better.

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Answer:

There are 3 terms

Step-by-step explanation:

Given expression,

→ 5x + y - 3x - 8 + 2

Let's simplify the expression,

→ 5x + y - 3x - 8 + 2

→ (5x - 3x) + y + (-8 + 2)

→ 2x + y - 6

The number of terms are,

→ 2x + y - 6

→ 3 terms (trinomial)

Hence, there are 3 terms.

Answer:

31 yards

Step-by-step explanation:

Since there are 3ft in 1 yard,

93 ft / 3 ft = 31 yards

Answer:

31 yards

Step-by-step explanation:

1 ft is 1/3 yard

So 93 ft = 93/3

= 31 yards

OR

1 ft is 0.333 yard

93 × 0.333 = 31 yard.

Step-by-step explanation:

a. Plug in -2 for x and 9 for f(x)

[tex]9 = 2( - 2) {}^{2} - ( - 2) - 1[/tex]

[tex]9 = 8 + 2 - 1[/tex]

[tex]9 = 9[/tex]

Yes, the point is on the graph.

Plug in 2 for x and solve for y.

[tex]2(2) {}^{2} - 2 - 1 = 5[/tex]

The points on there is (2,5)

c. Plug in -1 for y, solve for x.

[tex] - 1 = 2 {x}^{2} - x - 1[/tex]

[tex]0 = 2 {x}^{2} - x[/tex]

[tex]0 = x(2x - 1)[/tex]

[tex]x = 0[/tex]

[tex]0 = 2x - 1[/tex]

[tex]x = \frac{1}{2} [/tex]

The points on the graph are (1/2,-1) and (0,-1)

d. The domain of any quadratic is all real numbers or (-oo, oo)

e.

[tex]2 {x}^{2} - x - 1 = 0[/tex]

[tex]2 {x}^{2} - 2x + x - 1 = 0[/tex]

[tex]2x(x - 1) + 1(x - 1) = 0[/tex]

[tex](2x + 1)(x - 1) = 0[/tex]

[tex]x = - \frac{1}{2} [/tex]

[tex]x = 1[/tex]

The x intercepts are -0.5,1

The y intercepts are -1

Answer:

List Price: 1750

Sale Price: 1400

Step-by-step explanation:

If 20% = 350, we can just multiply it by 5 to get the list price.

Because:

= 20% / 100%

= 20 / 100

= 2 / 10

= 1 / 5

= 1 / 5 * 5 = 1

= 350 * 5 = 1750 (list price)

To get the sale price, we subtract 350 from 1750

1750 - 350 = 1400

1400 is 80% of full price, which is what it was purchased for.

Answer: -90

Step-by-step explanation:

Correct answer is not shown in the choices?

FOIL method:  9 + 6 - 63 - 42 = -90

Easy method:  (-18)(5) = -90

The interest rate as a percentage is  5.39% per year.

$30,000 is invested into an account where interest is compounded quarterly.  After 30 years the balance is $149,519.

The interest rate as a percent can be calculated as follows:

[tex]r = n((\frac{A}{P} )^{\frac{1}{nt} } -1)[/tex]

where

P = 30000

A = 149519

n = 4

t = 30 years

r = ?

[tex]r = 4((\frac{149519}{30000})^{\frac{1}{4(30)} } - 1 )[/tex]

[tex]r = 4((\frac{149519}{30000})^{\frac{1}{120} } - 1 )[/tex]

r = 0.0539008

Then convert r to R as a percentage

R = r * 100

R = 0.0539008 * 100

R = 5.39% per year

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Answer: You got roasted sir. Leave it alone.

Step-by-step explanation:

Step-by-step explanation:

Simplify the following expression by combining like terms: 8y + 9y - 9 + 4y

8y + 9y - 9 + 4y

21y - 9

Answer & Step-by-step explanation:

This question is just a matter of reading the graph correctly. The question is basically asking us how much each color (or the education level) is taking up in the whole bar. So, you just subtract where the color ends from where the color starts.

1997 age 65 or older

Bachelor's degree or higher: 100 - 75 = 25%

College/associate's degree: 75 - 54 = 21%

High school graduates: 54 - 21 = 33%

Less than a high school diploma: 21 - 0 = 21%

Total: 25+21+33+21 = 100%

2007 age 65 or older

Bachelor's degree or higher: 100 - 69 = 31%

College/associate's degree: 69 - 46 = 23%

High school graduates: 46 - 13 = 33%

Less than a high school diploma: 13 - 0 = 13%

Total: 31+23+33+13 = 100%

Hope this helps :)

Answer:

b: mean

c: mode

Step-by-step explanation:

I say mean for b because to find average of how many sodas they drink in a month

For c I say mode because they want to find the most common year and mode is where it chooses which year appears the most

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The principal that was deposited is  $3326.45 .

The principal has to do with the amount that has been deposited in the bank and after a while we would have the amount which is the summation of the principal and the interest that accrues.

Given that;

A = P(1 + r/n)^nt

A = amount

P = principal

r = rate

n = number of times compounded

t = time

Then;

6,000 = P(1 + 0.035/2)^2 * 17

P = 6000/(1 + 0.035/2)^2 * 17

P = $3326.45

At the beginning the money that was deposited is  $3326.45 .

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Answer:

-1,2

Step-by-step explanation:

I know this because to find the zeros of a function we look at when y is zero

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According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

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