4.
Calculate 3% of $600

If a temperature differs from normal by x° F it will be 73.9° F ± x° F.

A mod function is defined as |x|= a which is x = a or - x = - a.

According to the given question a normal temperature for a certain animal is 73.9 F if a temperature x that differs from the normal it can be

73.9° F + x° F or 73.9° F - x° F which is

73.9° F ± x° F.

Because rise of temperature and fall of temperature is a temperature difference that differs from the normal temperature.

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In linear equation , 8 is many of each coin does he have in pocket .

What in mathematics is a linear equation?

q = number of quarters worth 25 cents each

13 - q = number of dimes worth 10 cents each

25q + 10(13 - q) = 250

25q + 130 - 10q = 250

15q = 250 - 130

15q =   120

q = 8

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Answer:

76

Step-by-step explanation:

i need 20 words but i gave a pic of explanation u should learn

The equation of the curve is [tex]y=x^{3}-2x^{2}+5x+1[/tex].

The Gradient of the curve at a point is defined as the gradient of the tangent to the curve at that point. To find the gradient at a particular point on the curve y=f(x), simply substitute the x -coordinate of that point into the derivative.

Given the gradient of a curve at a point P(2,11) is 9.

[tex]\frac{d^{2}y }{dx^{2} } =6x-4[/tex]

Integrating both sides-

[tex]\frac{dy}{dx } =\frac{6x^{2} }{2}-4x+C[/tex]

[tex]\frac{dy}{dx } =3x^{2} -4x+C[/tex]

Now, the gradient of a curve at a point P(2,11) is 9.

⇒[tex]3(2^{2})-4(2)+C=9[/tex]

⇒4+C=9

⇒C=5

So, [tex]\frac{dy}{dx } =3x^{2} -4x+5[/tex]

Again integrating both sides-

[tex]y=x^{3}-2x^{2} +5x+A[/tex]

Point(2,11) lies on the curve.

So, [tex]11=2^{3}-2(2^{2}) +5(2)+A[/tex]

⇒11=10+A

⇒A=1

Putting value of A in equation of curve-

[tex]y=x^{3}-2x^{2}+5x+1[/tex].

Thus, The equation of the curve is [tex]y=x^{3}-2x^{2}+5x+1[/tex].

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Option c - (0 , -1).

Terminal Point on the Unit Circle. To find the terminal point on the unit circle, start at (1, 0), measure the angle in degree or radian on the circle (move counter clockwise if the angle is positive and clockwise if the angle is negative.) The coordinate of the endpoint is called the terminal point.

In a unit circle, θ = 3π/2 radians.

r = 1

Angle θ = 3π/2

The terminal point is (rcosθ, rsinθ)

= (cos3π/2, sin3π/2)

cos3π/2 = 0

sin3π/2 = -1

= (0, -1)

Thus,  for the unit circle 3π/2 = 0  ,the terminal points are (0, -1) . So the option C is the correct answer.

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Answer:

50x + 50

Step-by-step explanation:

Y = mx + b

Y = 50x + b

f(2) = 150

150 = 100 + b

b = 50

the equation of the line would be y = 50x + 50 which linear equation is used to represent the path of an airplane taking flight.

We have been given that the slope of the line is 50, and the point on the line is (2, 150).

A linear equation is represented as an equation in which the highest degree of the variable is always one.

Let the equation of the line be in slope-intercept form.

⇒ y = mx + b

A linear equation is used to represent the path of an airplane taking flight.

Here m = 50,

⇒ y = 50x + b

If the x-coordinate is 2 and then y-coordinate is 150

So f(2) = 150

⇒ 150 = 100 + b

⇒ b = 50

Substitute the value of b = 50 in the above equation to get

⇒y = 50x + 50

Therefore, the equation of the line would be y = 50x + 50.

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The value of [tex]P(\frac{A}{B_{1} })[/tex] is [tex]\frac{3}{5}[/tex] and the value of [tex]P(\frac{A}{B_{2} })[/tex] is [tex]\frac{4}{5}[/tex] .

Probability distribution is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment.

Given the 4 white and 2 black balls in the first box and 1 white and 3 black balls in the second box.

Let [tex]B_{1}[/tex] is the event that the transferred ball is white and [tex]B_{2}[/tex] is the event that the transferred ball is black. Let A be the event that the ball drawn from the second box after the transfer is black.

After 1 ball is transferred from the first box to the second box, there will be total of 5 balls in the second box.

Now, the probability of getting the black ball from the second box after transferring the white ball is [tex]P(\frac{A}{B_{1} })=\frac{3}{5}[/tex] and the probability of getting a black ball from the second box after transferring the black ball is [tex]P(\frac{A}{B_{2} })=\frac{4}{5}[/tex].

Hence, [tex]P(\frac{A}{B_{1} })=\frac{3}{5}[/tex] and [tex]P(\frac{A}{B_{2} })=\frac{4}{5}[/tex]

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Answer:

x = -0.25

Step-by-step explanation:

-4 x (2 x 1) = 8x - 2 - 4

-4 x 2 = 8x - 2 - 4

-8 = 8x - 2 - 4

-8 + 4 + 2 = 8x

-2 = 8x

-2/8 = x

x =  -0.25

hoped this helped xx

Answer:

According to math, it's 7/10.

Hope this helps!

Have a great day and God bless! :)

Answer:

In 2 hrs, the jet will travel 1,440 kilometers. In 6 hrs, the jet will travel 4,320 kilometers.
So in 4 hours the jet will travel 2280 km

Step-by-step explanation:

We're given:

First, let's simplify the 60 km/5 minutes to km/1 minute:

60 km/5 minutes

Simplify:

12 km/1 minutes

Now, multiply it by 60 minutes to find the km/hour:

12 km/1 minutes x 60 minutes

720 km

720 km/hour

Finally, multiply it by 4 hours:

720 km/hour x 4 hours

2880 km

2880 km

Here is the stem-and-leaf plot

Stem  Leaves

2           1, 2, 5, 9

3         1, 1, 2, 3, 4, 5, 6, 8, 9

4           1, 1, 3, 4, 4, 4, 5, 5, 5, 8, 8, 8, 9, 9,

5            0, 0,  3, 3, 8, 9

6           2, 3, 3, 6, 7, 7

The shape reveals that the greatest number of professors are in their 40s.

A stem-and-leaf plot is a table that is used to display numbers. It is similar to a histogram. A stem-and-leaf plot divides a number into a stem and a leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 21, 2 would be the stem and 1 would be the leaf.

An advantage of the stem-and-leaf plot is that all the data in the data set are shown. A drawback of a stem-and-leaf plot is that it can only be used for a small dataset.

Looking at the stem-and-leaf plot, it can be seen that the professors in their 40s have the highest frequency. They are 14 professors in their 40s.

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Answer:

[tex]= \frac{5}{72}[/tex]

Step-by-step explanation:

21/3 = 7

(5/8)÷(2 21/3)

2 21/3 = 2 + 21/3 = 2 + 7 = 9

then:

(5/8)÷(2 21/3) = (5/8)÷9 = 5 ÷ (8*9)

= 5/72

Answer:

x = between -3/4 and 3_1/5

x > 3_1/5 AND x < -3/4

The order from least to greatest of the numbers will be B. one eighth, 0.4, seventy five percent, seven fifths.

It should be noted that 7/5 = 1.4

It should be noted that 1/8 = 0.125

It should be noted that 75% = 0.75

Therefore, the ordering of the numbers from least to greatest will be one eighth, 0.4, seventy five percent, seven fifths.

In conclusion, the correct option is B.

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Answer:

B. Data are collected about a population.

Step-by-step explanation:

Data collected isn't experimenting. Experimenting is when you modify certain things in the population, not just take data from it. Hence, option b is just observation, not experimenting.

Answer:

2 * 3^2 * 11

Step-by-step explanation:

198/2 = 99   (so 2 is a prime factor)

99/3 = 33    (3 is another factor)

33/3 = 11      (3 is yet another factor)

11 is prime so cannot factor any further

198 = 2 x 3 x 3 x 11 = 2 x 3^2 x 11

Answer:

62.5 % is write answer.

Step-by-step explanation:

Please like my answer to make me brain list.

The correct answer is (C) The cost of hot dog combos less than an $18 coupon split by 5 people.

Answer: B, C, E

Step-by-step explanation:

When you multiply 57 by 1,000 you do indeed get the answer 57,000 because you only add 3 zeros because 1,000 has 3 zeros, same thing goes with 57 x 10,000, you just add 4 zeros to 57 to get your answer.

The time taken to walk from first floor to sixth floor at same pace, assuming

all floors have the same height is 318 seconds or 5 minutes 18 seconds.

It takes you 53 seconds to walk from the first​ (ground) floor of a building to the third floor.

There are 60 seconds in every minute, so converting seconds to minutes is simple. Just divide the number of seconds by 60 to get your answer. Every 60 seconds a full minute has passed. Dividing a number tells you how many times one number "fits" in the other. Oftentimes the number of seconds will not perfectly convert into minutes. This decimal represents the number of seconds left over.

Walking one floor takes 53 seconds.

So, walking six floors at same pace = 53 seconds * 6

=> 318 seconds or 5 minutes 18 seconds.

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The number of centimeters on the blue print is 54 cm.

Given the scale of the drawing of a blue house shows that 6 cm is 3 meters.

The plan says  6 cm is 3 meters. The equation can be written, like this:

6cm = 3m

However, it's not useful for a conversion, so it's better to write it as a ratio, like this:

6cm/ 3m or 3m / 6cm

This as a conversion, take the given number  and multiply it by the appropriate conversion factor. The key to choosing the right one is to think about which units need to be destroyed and how to achieve this. In this problem we are given 27 meters and we want to know it will be  centimeters on the scale. So we have to choose a conversion factor that will remove meters and leave us with centimeters. If in doubt, identify a possible problem and test the units.

Example: 27m × (3m / 6cm)

It is clear that in this form the counters will not be cancelled.

So instead we try:

27m × (6cm / 3m) = 162cm / 3 = 54cm

So the number of centimeters on the blue  represents the actual distance of 27 meters when the scale on the figure shows a house The blue color shows that 6 cm represents 3 meters or 54 cm.

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Answer: The length of AB is approximately 6.32 units.

Step-by-step explanation:

We have been given an image of a triangle on coordinate plane and we are asked to find the length of mid-segment MN and segment AB.

First of all, we will find the length of MN using distance formula.

What is the formula for length of a line?

When dealing with horizontal lines, the length of the line is simply the difference between the two points' x-coordinates. In a similar fashion, a vertical line's length can be found by subtracting one of the y-coordinates with the other.

              d = [tex]\sqrt{{(x2 - x1)^{2} } + (y2 - y1 )^{2} }[/tex]

      Let us assume option A is = (5.9 ; 2.8)

Where x1 = 5

x2 = 2

y1 = 9

y2 = 8

              d = [tex]\sqrt{{(2-5)^{2} } + (8-9)^{2} }[/tex]

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

              d = [tex]\sqrt{9+1}[/tex]

              d = [tex]\sqrt{10}[/tex]

             d = 3.1622

Therefore, the length of MN is approximately 3.1622 units.

We know that length of mid-segment connecting two sides of a triangle is half the length of third side of the triangle.

To find the length of AB, we will multiply length of mid-segment MN by 2.

Length of AB = 3.1622 X 2

Length of AB = 6.3244 ≅ 6.32

Therefore, the length of AB is approximately 6.32 units and (5.9 ; 2.8)  is the correct choice.

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Answer:

1.15

Step-by-step explanation:

Answer 1.15

Step-by-step explanation:

the only thing you had to do is line it up like standard algorithm and add if you need anymore help just tell me.

Using proportions, the table is filled as follows:

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

The rates are given as follows:

Hence, for 9/10 = 0.9 hours, the price is given as follows:

3 x 0.1 + 2 x (0.8/0.1) = 16.3.

For 4 hours, the price is given as follows:

3 x 0.1 + 2 x (3.9/0.1) = 78.3.

For 3 and 9/10 hours = 3.9 hours, the price is given as follows:

3 x 0.1 + 2 x (3.8/0.1) = 76.3.

For 7 hours, the price is given as follows:

3 x 0.1 + 2 x (6.9/0.1) = 138.3.

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Answer:

  y = 13

Step-by-step explanation:

You want to "solve" y=3(0)^3-2(0)^2+13.

An exponent signifies repeated multiplication. That is ...

  (0)^3 = 0×0×0

Of course, anything times zero is zero, so the first and second terms are both zero:

  3(0)³ -2(0)² = 0 -0 = 0

Adding 0 to 13 does not change its value.

  y = 3(0³) -2(0²) +13 = 0 -0 +13

  y = 13

__

This is one that can be evaluated "by inspection." In general, a polynomial evaluated at x=0 will have the value of the constant term: all of the variable terms become zero.

If that is too much work, you can always enter the expression into your calculator.

Evaluate 1(8+12)-4)+5. (6-3)​ = 31

Solution :

PEMDAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents (degree or square roots) and later we do operations on multiplication & division and at last addition and subtraction.

BODMAS, BIDMAS and PEMDAS are acronyms for remembering the order of operations in mathematics. BODMAS stands for Brackets, Orders, Division, Multiplication, Addition and Subtraction. BIDMAS and PEMDAS do exactly the same thing but using different words.

MDAS :

stands for Multiplication, Division, Addition, and Subtraction. It is part of the Order of Operations, a collection of rules that gives a sequence for simplifying mathematical operations. It is used when an expression or equation has more than one operation. According to the Order of Operations, all multiplication or division must occur before addition or subtraction. For example, the expression 6+4×5 involves addition and multiplication. According to MDAS, simplify the multiplication portion of the expression before adding. Since 4×5 equals 20, rewrite the expression as 6+20, which equals 26

= 1(8+12)-4)+5. (6-3)​

= 20 - 4+5.3

= 16+15

=31

Answer:

Evaluate 1(8+12)-4)+5. (6-3)​ = 31

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The slope of the two equations is required to answer this

What is an equation?

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

Given equation

[tex]y=x+1[/tex] has slope [tex]m1=1[/tex]

and the other equation

[tex]-\frac{6}{5}x+3[/tex] has slope [tex]m2 =-\frac{6}{5}[/tex]

For parallel equations, [tex]m1=m2[/tex]

and for perpendicular equations, [tex]m1[/tex]x[tex]m2=-1[/tex]

These two equations are neither parallel nor perpendicular.

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The predetermined overhead rate per direct labor hour is $12.00

The amount of applied overhead if 18,500 actual hours are worked in the upcoming year is $222,000

What are overheads?

Overheads are expenses or costs incurred by Wheeler’s Bike Company in the manufacturing process which cannot be traced to the finished goods, which are factory machinery depreciation, factory supplies, factory supervisor salaries and factory property tax

Total factory overheads= factory machinery depreciation +factory supplies+ factory supervisor salaries+ factory property tax

Total factory overheads=$55,000+$140,000+$7,500+$37,500

Total factory overheads=$240,000

predetermined overhead rate per direct labor hour=total factory overheads/total labor hours

total labor hours=Factory direct labor/direct labor rate

total labor hours=$300,000/$15=20,000 hours

predetermined overhead rate per direct labor hour=$240,000/20,000

predetermined overhead rate per direct labor hour=$12.00

amount of applied overhead  for 18,500 actual hours=18,500*$12

amount of applied overhead  for 18,500 actual hours=$222,000

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