4. An object will most effectively absorb the
sun's rays if it is
(A) polished, and dark in color.
(B) polished, and light in color.
(C) rough, and light in color.
(D) rough, and dark in color.

Answer:

y = (-1/3)x + 4

Step-by-step explanation:

Slope Intercept equation for a line is

y = mx + b

where m = slope and y = y-intercept

Slope = rise/run

Rise = y2 - y1 for any two points (x1,y1) and (x2, y2) on the line

Run = x2 - x1 for the same two points

We are told the line passes through 2 points
(-6, 6) and (9,1)

For these two points,

rise = 1 - 6 = -5

run = 9 - (-6) = 9 + 6 = 15

Slope = -5/15 = -1/3

Equation of line is

y = (-1/3) x + b

We only have to calculate b to get the whole equation. To find b, plug in the x, y coordinates of any of the two points into the above equation and solve for b

Choose point(9, 1)
y = 1 when x = 9

1 = (-1/3)(9) + b

1 = -3 + b

b = 1 + 3 = 4

So equation of line is

y = (-1/3)x + 4

Step-by-step explanation:

I don't see any answer choices, so I tell you the actual result and must pick the fitting answer option.

3x(6x² - 3x + 7) = 18x³ - 9x² + 21x

The slope of the line would be - 3/2 which passes through the points (−3, 1) and (1, −5) which is the correct answer would be an option (C).

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

The required slope of the line that passes through the points (−3, 1) and (1, −5)

Let

x₁ = -3, y₁ = 1

x₂ = 1, y₂ = -5

∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )

Substitute values in the formula, and we get

m = (-5 - 1)/(1 - (-3))

m = -6 /(1 + 3)

m = -6 / 4

m = - 3/2

Therefore, the slope of the line would be - 3/2.

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Answer:

Step-by-step explanation:

A: 1/6

B: 1/2

Answer:

It can eat 60 mosquitos in 1 minute.

Step-by-step explanation:

[tex]2400[/tex] ÷ [tex]40[/tex] [tex]= 60[/tex]

Julia paid a total of $94.07 for the service she received at the salon

Service tax: Service tax is a type of indirect Tax that you are liable to pay to the government once you. The consumer pays the service tax to the service provider while paying the bill (for example, your restaurant bill has a component of service tax). The government in turn collects the tax from the service providers.

Service charge for Julia at a beauty salon = $72.60

The rate of sales tax taken = 8%

Percentage of tips she added to the service charge before sales tax= 20%

Then amount of tips given by Julia = (20/100)x72.60

                                                      = (1/5)x72.60

                                                      = 14.52 dollars

Then the amount in total paid by Julia before adding service tax =

(72.60 + 14.52) dollars=87.12dollars

Now the sales tax of 8% has to be calculated on the amount of $87.12

Then

Amount of sales tax given by Julia = (8/100)x87.12

                                                      = 696.96/100

                                                      = 6.969

                                                      = 6.97 dollars

So the total amount paid by Julia for the service at the salon =

(87.12 + 6.97) dollars = 94.07 dollars

Julia paid a total of $94.07 for the service received by her at the salon

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Answer: y=[tex]-\frac{1}{10} x-7[/tex]

Step-by-step explanation: The slope of a perpendicular line is always negative and the reciprocal (opposite fraction) of the regular slope so the slope would be [tex]-\frac{1}{10}[/tex]. If the line passes through (-10,-6) then the y intercept would be (0,-7) because every time x goes 10 right y goes down 1 because of the slope.

The value ∠L, ∠M and ∠N is 59°, 105° and 16° respectively.

∠L = (4x - 5)°, ∠M = (7x-7)° and ∠N = x°

The summation of all three angles of a triangle is equal to 180°

∠L+ ∠M + ∠N = 180°

4x - 5 + 7x -7 + x = 180

12x - 12 = 180

12x = 192

x = 192/12

x = 16

∠L = 4x - 5

= 4(16) - 5

= 64 - 5

= 59°

∠M = 7x - 7

= 7(16) - 7

= 112 - 7

= 105°

∠N = x = 16°

Therefore the value ∠L, ∠M and ∠N is 59°, 105° and 16° respectively.

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Convert all numbers to decimals

since there are no negative numbers use the first decimal place to order them.

0.19 0.36 0.6-3/5 0.78

Answer: 7 full layers

Step-by-step explanation: well 2 can be changed to 6/3, and 6/3 divided by 1/3 is 6 layers from two pounds. Then the tricky part is the 3/5, but you can make a common denominator, aka to make a layer is 5/15, and the amount ou have (besides the two pounds) is 9/15. 9/15 is enough for one more 5/15, making an extra layer, aka 7 full layers.

After conducting some mathematical operations, we know that Brent earned $28.75.

So, the amount Brent will earn when there are 7 children:

Brent earns $7.25 per hour and he watched kids from 9:00 am to noon which is 3 hours.

He earns $1 per child and there are 7 children present, then:

Total amount he earned: $21.75 + $7 = $28.75

Therefore, after conducting some mathematical operations, we know that Brent earned $28.75.

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The correct question is given below;
ON SATURDAY MORNINGS FROM 9:00 UNTIL NOON, BRENT WATCHES A GROUP OF PRESCHOOLERS WHILE THEIR PARENTS WORK OUT IN THE GYM. BRENT EARNS $7.25 PER HOUR PLUS $1.00 PER CHILD. TODAY THERE ARE 7 CHILDREN…HOW MUCH WILL BRENT EARN?

Answer:

$2.50

Step-by-step explanation:

Answer:

Each notebook cost $2.50

Step-by-step explanation:

We can turn the problem into an equation

1. We have a magazine for $5, and then 4 notebooks, with the price x. They all equal to the amount $15.

5 + 4x = 15

4x = 15 - 5

4x = 10

x = 4/10

x = 2.5

2. Just to check, we can plug in 2.5 for x in the equation

5 + 4(2.5) = 15

5 + 10 = 15

15 = 15

Answer:

0.000752739974

by the way  i used a calculator

       I hope this helps :)

Answer: 78.3 ft.

Step-by-step explanation: If I am looking at it right, it would be 8.7 ft x 9 ft because A= L x W. Hope this helps.

This suggests that the equilateral triangle's sides' measurements remain unaltered.

A coordinate plane is a surface with two dimensions made up of two number lines. It is created when the origin, the point at which the X-axis and Y-axis cross, is reached. To locate points, one uses the numbers on a coordinate grid.

Sides = 5 inches

Given

Sides = 5 inches

Translation = 3 units (down) and 2 units (right)

Required

Determine the length of one side after translation

It should be emphasized that just the position of a shape, line, or object changes when it is translated by moving its position, not its length.

This suggests that the equilateral triangle's sides' measurements remain unaltered.

Hence:

Sides = 5 inches

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Option (C) It means the technician charges a fixed amount of $75 for the repair is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The graph of the equation is given:

From the graph the equation of the straight line will be:

y = 45x + 75

For the y-intercept plug x = 0

y = $75

The y-intercept represents the technician charging a fixed amount of $75 for the repair.

Thus, option (C) It means the technician charges a fixed amount of $75 for the repair is correct.

The graph is attached is in the picture.

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The mean, median, and mode, of the given data set, are 5.25, 5.5, and 7.

So, the data set from ascending to descending form:

Mean: Sum of terms/ number of terms

The mean is 5.25.

Median: (Even terms) Average of 2 middle terms:

The Median is 5.5.

Mode: The most repetitive term

The mode is 7.

Therefore, the mean, median, and mode, of the given data set are 5.25, 5.5, and 7.

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The offer percentage on that online site on the book  is 20%

What is the dollar amount of discount?

The dollar value of the discount given by the online site is difference between the normal price of the  book which is $25 and the offer price of the online site of $20 as shown below:

discount offered=$25-$20

discount offered=$5

Now that the offer discount has been ascertained, the discount offer in percentage terms relates the dollar value of the discount to the normal price to arrive at the percentage given off the normal price

offer percentage=discount offered/normal selling price

offer percentage=$5/$25

offer percentage=20%

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Circle

center (4 , 3)

radius = 5

equation of the circle = ?

Step 02:

equation of the circle

(x - h)² + (y - k)² = r ²

(h , k) ===> center

r ===> radius

(x - 4)² + (y - 3)² = 5²

(x - 4)² + (y - 3)² = 25

The answer is :

(x - 4)² + (y - 3)² = 5²

Answer:

908x64=58112

hope it helps you

Answer:

58112

Step-by-step explanation:

Solution

908×64=58112

hence required answer is 58112.

Answer:

x = 1 , x = 13

Step-by-step explanation:

(x - 7)² = 36 ( take square root of both sides )

x - 7 = ± [tex]\sqrt{36}[/tex] = ± 6 ( add 7 to both sides )

x = 7 ± 6

then

x = 7 - 6 = 1

x = 7 + 6 = 13

Given

A section of a circle has both endpoints on the circle.

To find: What is the section of the circle.

Explanation:

It is given that,

A section of a circle has both endpoints on the circle.

Since A chord is a line segment with both end points on the circle.

Final result: Then, the section of the circle is called Chord.



Answer: chord

Step-by-step explanation:

The probability that the person smoked 11 to 20 cigarettes per day is 15273/100450.

The likelihood of choosing at random one study participant who smoked between 11 and 20 cigarettes per day is equal to the frequency of those who smoke between 11 and 20 cigarettes divided by the total number of study participants.

1. People smoking at most ten cigarettes per day,

African American: 9886

Native Hawaiians: 2745

Latinos: 12831

Japanese Americans: 8378

Whites: 7650

2. People who smoke 11 to 20 cigarettes per day.

African Americans: 6514

Native Hawaiians: 3062

Latinos: 4932

Japanese Americans: 10680

Whites: 9877

3. People smoking 21 to 30 cigarettes per day,

African Americans: 1671

Native Hawaiians: 1419

Latinos: 1406

Japanese Americans: 4715

Whites: 6062

4. People smoke at least 31 cigarettes per day.

African Americans: 759

Native Hawaiians: 788

Latinos: 800

Japanese Americans: 2305

Whites: 3970

Therefore, the total will be:

Group                       Total

[0 - 10]                      41,490

[11 - 20]                     35,065

[21 -30]                     15,273

[31 and more]            8,622

Total           100,450

Therefore, the probability that a person smoked 11 to 20 cigarettes per day will be:

P = 15,273/100,450

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The complete question is mentioned below:

An article in the New England Journal of Medicine, reported about a study of smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smoking levels per day were given. Of the people smoking at most ten cigarettes per day, there were 9,886 African Americans, 2,745 Native Hawaiians, 12,831 Latinos, 8,378 Japanese Americans, and 7,650 Whites. Of the people smoking 11 to 20 cigarettes per day, there were 6,514 African Americans, 3,062 Native Hawaiians, 4,932 Latinos, 10,680 Japanese Americans, and 9,877 Whites. Of the people smoking 21 to 30 cigarettes per day, there were 1,671 African Americans, 1,419 Native Hawaiians, 1,406 Latinos, 4,715 Japanese Americans, and 6,062 Whites. Of the people smoking at least 31 cigarettes per day, there were 759 African Americans, 788 Native Hawaiians, 800 Latinos, 2,305 Japanese Americans, and 3,970 Whites. Suppose that one person from the study is randomly selected. Find the probability that person smoked 11 to 20 cigarettes per day. (Enter your probability as a fraction.)

The given two equations represent that 6x-15y=15  is equal to y=2/5x-1 And they have the same slope 2/5.

Equations are logical statements in mathematics that are denoted by an equals (=) sign and two algebraic expressions on either side of it. It is demonstrated that the expressions on the left and right are equal to one another.

All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain a "equal to" symbol, it is not an equation. It will be considered as an expression.

We have been asked to find the value of x and y in 6x-15y=15 and y=2/5x-1

Let solve for y = 2/5x-1

in  6x - 15y = 15

⇒ 6x - 15(2/5x-1) = 15

⇒ 6x - 6x  + 15 = 15

⇒ 15 = 15

⇒ This mans they have slope

⇒ 6x - 15y = 15 in y-intercept form

⇒ 15y = 6x - 15

⇒ 15y = 6x - 15

⇒ y = (6x - 15)15

⇒ y = 2/5x - 1

Thus, 6x-15y=15  is equal to y=2/5x-1 And they have the same slope 2/5.

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[tex]r =\frac{3t}{(t-1)}[/tex]  is the r subject of the formula  t=r/r-3

How is r made the subject of t=r/r-3?

[tex]t =\frac{r}{r-3} \\\\t(r-3) =r\\\\tr - 3t = r\\\\tr- r = 3t\\\\r(t-1)=3t\\\\r = \frac{3t}{(t-1)}[/tex]

What does making r the subject mean?

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

Work Shown:

x = original price of the calculator

x+6.20 = original price of calculator and binder

0.85(x+6.20) = price after discount, see note below

0.85(x+6.20) = 107.27

Solving for x.

0.85(x+6.20) = 107.27

0.85x+0.85*6.20 = 107.27

0.85x+5.27 = 107.27

0.85x = 107.27-5.27

0.85x = 102

x = 102/0.85

x = 120 dollars is the original price of the calculator

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

Checking the answer:

Before the discount, Justin would pay 120+6.20 = 126.20 dollars for the calculator and binder. He saves 15%, which means he saves 0.15*126.20 = 18.93 dollars and the final price would be 126.20-18.93 = 107.27 which matches up with the value in the instructions.

Or a shortcut would be 0.85*126.20 = 107.27 and that confirms the answer as well.

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

note: If Justin saves 15% then he pays the remaining 85% (since 15+85 = 100). So that's why there's a 0.85

Answer:

Original price of the calculator = $120

Step-by-step explanation:

Given:

If the original price of the binder was reduced by 15%, then the sale price is 85% of the original price (since 100% - 15% = 85%).

[tex]\begin{aligned}\implies \textsf{Sale price of the binder}& = \sf 85\% \;of\; \$6.20\\&= \sf 0.85 \times \$6.20\\&= \sf \$5.27\end{aligned}[/tex]

If Justin spent a total of $107.27:

[tex]\begin{aligned}\implies \textsf{Sale price of the calculator}&= \sf Total\;spent-Sale\;price\;of\;the\;binder\\ & = \sf \$107.27 - \$5.27 \\ & = \sf \$102.00\end{aligned}[/tex]

Remembering that the sale price of the calculator is 85% of its original price:

[tex]\begin{aligned}\implies \sf 85\% \; \textsf{of original price}&=\sf \$102.00\\\sf 0.85 \times original \; price &=\$102.00\\\sf Original \; price & = \sf \$102.00 \div 0.85\\\sf Original \; price &= \sf \$120.00\end{aligned}[/tex]

Therefore, the original price of the calculator was $120.

The total cost of the birdfeeder which poni wants to buy including the sales tax is $21.54.

Given poni wants to purchase a birdfeeder that costs $19.95.

sales tax rate in her city is = 8.12%

total cost of the birdfeeder = ?

The pre-tax price of an item must first be multiplied by the sales tax percentage once it has been converted into a decimal form in order to determine the amount of sales tax that will apply to the purchase. To get the item's final cost, the sales tax must first be computed, and then it must be added to the pre-tax price.

sales tax rate = 8.12% = 0.0812

Round it off to two decimal places.

= 0.08

Now, in order to determine the cost of the sales tax, we must multiply the item's pre-tax price by this amount.

sales tax = 0.08×$19.95

sales tax = $1.596

Since our total is in dollars and cents, round to two decimal places.

sales tax = $1.59

now total cost = pre tax value+sales tax.

= $19.95+1.59

=$21.54

Hence the total cost of the birdfeeder is $21.54.

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