Mathematics College

subtract the product of 2 and 15 divided by 3 from 10

Answers

Answer 1

Answer:

Step-by-step explanation:

Remember PEMDAS

10 - 2 * 15 : 3 =

10 - 30 : 3 =

10 - 10 =

Related Questions

If wheat bread has 80 calories per slice and 4 gram of protein per slice, what percentage of calories come from proteins ?

Answers

20% of the calories in a slice of wheat bread come from protein.

What is Percentage?

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

To find the percentage of calories that come from protein, we need to know how many total calories come from a slice of bread and how many of those calories come from protein.

Let's assume that all the calories in a slice of wheat bread come from protein and find the percentage of calories that come from protein:

One slice of wheat bread has 80 calories and 4 grams of protein.

One gram of protein has 4 calories (this is the caloric value of protein).

Therefore, 4 grams of protein have 4 x 4 = 16 calories.

The percentage of calories that come from protein is (16/80) x 100% = 20%.

Therefore, 20% of the calories in a slice of wheat bread come from protein.

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Find the angle on the unit circle

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Answer:

Step-by-step explanation:

$-\frac{\sqrt{5} }{4} =r cos \theta\\-\frac{\sqrt{11} }{4} =rsin \theta\\divide \\\frac{r~sin~\theta}{r ~cos ~\theta} =\frac{-\frac{\sqrt{11} }{4} }{-\frac{\sqrt{5} }{4} } \\tan~\theta=\frac{11}{5} \\\theta=tan^{-1} (\frac{11}{5} )=65.56^\circ,(65.56+180)^\circ=65.56^\circ,245.56^\circ$

∵ x,y are both negative.

Hence θ lies in third quadrant.

so θ≈245.56°≈246°

What is the y-intercept

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The point where the curve intercepts y axis

The y-intercept is the point where a function intercepts the y-axis. It can be found by inputting x=0 into a function and simplify to find f(x), which is the y-intercept. When x=0, there is no lateral change, so you are only focusing on the y-axis, meaning the y-intercept will lie on that x-coordinate. Essentially, there is no movement on the x-axis so that you can simply focus on the y-axis and it’s point of interception.

Write the expressions for (s + r)(x) and (s - r)(x) and evaluate (sr)(3) .Suppose that the functions r and s are defined for all real numbers x as follows r(x) = x + 1 s(x) = 3x - 3

Answers

ANSWER:

$\begin{gathered} (s+r)(x)=4x-2 \\ (s-r)(x)=2x-4 \\ (s\cdot r)(3)=24 \end{gathered}$

STEP-BY-STEP EXPLANATION:

We have the following functions:

$\begin{gathered} r\left(x\right)=x+1 \\ s\left(x\right)=3x-3 \end{gathered}$

We calculate each operation, just like this:

$\begin{gathered} (s+r)(x)=3x-3+x+1=4x-2 \\ (s-r)(x)=3x-3-x-1=2x-4 \\ (s\cdot r)(3)=(3x-3)(x+1)=(3\cdot3-3)(3+1)=(9-3)(4)=(6)(4)=24 \end{gathered}$

the mean mass of 5 men is 76kg. the masses of 4 of the men are 72kg, 74kg, 75kg, and 81kg, what is the mass of the 5th? And

Answers

Answer:

78kg

Step-by-step explanation:

Let total mass be M.

mean=M÷5=76

M=380kg

mass of 4men is 72+74+75+81=302kg

mass of 5th man=380-302=78kg

An airplane dropped a flare from a height of 3450 feet above a lake. How many seconds did it take for the flare to reach the water?

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Answer: Assuming the simplest possible case, ignoring air resistance and other factors, treat this as a free-fall problem.

h = gt2/2 t = √(2h/g) = √[2(3640)/32] sec = ? sec

n - 89 > 171. what inequality below true. 1. n=82. 2. n=105. 3. n=268. 4. n=300. 5. n=312

Answers

Answer:

1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.

Square the equality √2 + √3 = r − √5 to obtain 5 + 2

√6 = r2 + 5 − 2r

√5. It follows

that 2√6 + 2r

√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r

√30

is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is

irrational can now be applied to show that this is not true. Write √30 = m

n in lowest

terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because

2( m

2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest

terms, a contradiction. We conclude that the initial assumption was false, and therefore

√2 + √3 + √5 is irrational.

Step-by-step explanation:

the police use a speed gun during one hour 6 out of 25 cars went over the limit what percent of cars were over the speed limit

Answers

6/25 = 0.24

0.24 • 100 = 24%

6 = amount of cars that went over the limit
25 = total amount of cars

24% of the cars went over the speed limit.

The sum of a number and 12 3/4 is 16 4/9 Find the number

Answers

Answer:

sum means addition. meaning that to find this sum of a number we can subtract 12 3/4 from 16 4/9. we get 3 25/36.

we know this is the actual answer bc 12 3/4+ 3 25/36=16 4/9

Answer:

Missing number is 3 25/36.

Step-by-step explanation:

16 4/9 - 12 3/4= 16 16/36 - 12 27/36= 16 - 12= 4= 16/36 - 27/36= 52/36 - 27/36= 25/36= 3 + 25/36= 3 25/36.

if there were 1600 frogs shaking their butts on lily pads and 199 of them leave how much frogs are still shaking their butt on lily pads

Answers

Answer:

if there were 1600 frogs shaking their butts on lily pads and 199 of them leave, 1401 frogs will still be shaking their butts.

Step-by-step explanation:

Solve the following system of equations a2+b2 ; 3a2 -2ab-b2

Answers

The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).

The given system of equations can be solved using the substitution method. We can begin by solving the first equation,$a^2 + b^2$, for either a or b. Let's solve for a:

$a^2 + b^2 = 0$

$a^2 = -b^2$

$a = \pm\sqrt(-b^2)$

We can substitute this expression for a into the second equation, $3a^2 - 2ab - b^2 = 0$, and simplify:

$3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0$

$3b^2 - 2b^2 - b^2 = 0$

0 = 0

Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation $a^2 + b^2 = 0$ will also satisfy the equation $3a^2 - 2ab - b^2 = 0$

However, the equation $a^2 + b^2 = 0$ only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).

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What is the range of the function? f(x)=3^x−1−2

Answers

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2

Calculating the range of the equation?

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

The domain is the set of all real numbersHowever, the range is always greater than the constant term

In this case, it is -2

So, the range is y > -2

Answers

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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what's the inverse of f(x)=(x+3)^5

Answers

Answer:

The inverse is,

$f^{-1}(x) = \sqrt[5]{x} - 3$

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

$f(x) = (x+3)^5\\or,\\y = (x+3)^5$

We replace x with y and vice versa

so,

$x = (y+3)^5$

Solving for y,

the the 5th root,

$\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3$

hence the inverse function is,

$f^{-1}(x) = \sqrt[5]{x} - 3$

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure? The base angles of an equilateral triangle have equal measure. If two sides of a triangle are equal, the third side must be equal to the others. If a triangle is equiangular, then it is equilateral. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Answers

Answer:

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

The fact which helps to prove the isosceles theorem is; The base angles of an equilateral triangle have equal measure.

Isoscelles triangle

Isoscelles triangles in plane shape concept are characterized by two equal sides.

On this note, similarly in equilateral triangles, 2 sides are equal ( although, all sides of an equilateral triangle are equal).

Ultimately, the statement which helps to prove the isosceles triangle theorem is therefore; The base angles of an equilateral triangle have equal measure since all the two sides are equal as in isoscelles triangles too.

Answers

The number 2 dosent share the same pattern

you and a friend have created a carnival game for your classmates. you plan to charge $1 for each time a student plays, and the payout for a win is $5. according to your calculations, the probability of a win is .05 what is your expected value for this game?

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Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

when comparing data quickly, it’s best to use a

A. bar graph

B. pie graph

C. line graph

D. scatter plot

Answers

Bar graphs sorry if I’m not right

Answer:

line graph

Step-by-step explanation:

usa testprep

What is sixteen ninths minus five Ninths in a number bound

Answers

Answer:

i dont know what a number bound is but

16*9 - 5*9 = 144 - 45 = 99

Hope this helped and brainliest please

Answer:

1 2/9

Step-by-step explanation:

$\frac{16}{9} -\frac{5}{9} =\frac{11}{9} \\$

$\frac{11}{9} = 1\frac{2}{9} \\$

I think this is what the question is asking for

If 8 spiders can spin 24 webs in 6 days, how many days will it take 12 spiders to spin 18 webs?

Answers

Answer:

3 days

Step-by-step explanation:

See the steps below, one ratio - one pair of numbers changes at a time.

spiders webs days

8 24 6 8 4 1 ⇒ Divide by 6 2 1 1 ⇒ Divide by 4 12 6 1 ⇒ Multiply by 6 12 18 3 ⇒ Multiply by 3

Devon’s bike has wheels that are 26 inches in diameter. After the front wheel picks up
a tack, Devon rolls another 100 feet (1200 inches) and stops. How far above the ground in inches is the tack?

Answers

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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y=-2x-2
In slope form idk where to start tbh

Answers

Answer: one point would be (-1,0) and another would be (0,-2)

Answer:

Step-by-step explanation:

There are either two forms slope-intercept form or point-slope form what do you need? And if you asked y=-2x-2 in slope form it means this is the answer though cause the standard equation is

$y=mx+c\\$

and if you compare it with

$y=-2x-2$

m is the slope which is -2 and c is the y-intercept which is -2 so this would be your slope-intercept form

I need to know the answer to this question please

Answers

Notice that there are no intersections between the different categories; for example, there are no students who would rather take an English class and a history class.

In general, if A and B are two independent events,

$\begin{gathered} A,B\rightarrow\text{ independent events} \\ \Rightarrow P(A\cap B)=P(A)P(B) \end{gathered}$

In our case, for example, the probability of a student being male and choosing history is

$\begin{gathered} P(Male\cap History)=\frac{10}{88} \\ while \\ P(Male)*P(History)=\frac{40}{88}*\frac{22}{88}=\frac{880}{88^2}=\frac{10}{88} \end{gathered}$

Thus, the events are independent.

The answer is 'This table is an example of the principle of independence. The first option.

A $270 suit is marked down by 20%. Find the sale price

Answers

Answer:

Marked down means the price has decreased by 20% so 100%-20%=80%

The suit is now 80% of its original price of 270.

So 270×(80/100)= 216

The selling price of the suit will be equal to $216.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a $270 suit is marked down by 20%. The selling price will be calculated as,

Marked down means the price has decreased by 20%,

100%-20%=80%

The suit is now 80% of its original price of 270.

270×(80/100)= 216

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Joyce saved $220 on an item that was 75% off what was the original price

Answers

Answer:

$880

Step-by-step explanation:

Use the equation:

$P=(1-d)x$ with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

If a firm has a production quota of 400=5x1^2+8x1x2+15x2^2, what combination of good x1 and x2 should the firm produce to minimize cost of C=x1^2+x2^2

Answers

The firm should produce good x₁ = 4 and x₂ = 8 to minimize cost of C = x₁² + x₂² .

What is Lagrange multipliers ?

Lagrange multipliers is a method used in optimization problems to find the maximum or minimum value of a function subject to one or more constraints. The method involves introducing a Lagrange multiplier, which is a scalar variable, to the objective function and the constraint(s). This forms the Lagrangian function, which is then optimized with respect to the original variables and the Lagrange multiplier.

To minimize the cost C = x₁² + x₂²

We can use the method of Lagrange multipliers to solve this problem. Let's define the Lagrangian function L as:

L(x₁, x₂, λ) = x₁²+ x₂² + λ(400 - 5x₁²- 8x₁x₂ - 15x₂²)

Taking partial derivatives of L with respect to x₁, x₂, and λ, we get:

∂L/∂x₁ = 2x₁ - 10λx₁ - 8λx₂ = 0

∂L/∂x₂ = 2x₂ - 30λx₂ - 8λx₁ = 0

∂L/∂λ = 400 - 5x₁² - 8x₁x₂ - 15x₂² = 0

Solving these equations simultaneously, we get:

x₁ = 4

x₂ = 8

λ = 1/20

Hence, the firm should produce a combination of x₁ = 4 and x₂ = 8 to minimize the cost of C = x₁² + x₂² while satisfying the production quota of 400.

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What is the outlier point? Please express your answer as (x,y).

Answers

The outlier of the graph is

(5, 1)

What is outlier?

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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FIND EACH LENGHT BELOW ITS AN ALEX ASSIGNMENT UNDER THE CATEGORY SEGMENTS IN CIRCLES

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The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

How to find the length in each circle?

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

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Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1 1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!

Answers

f(-3)

-3≤-1, so we must use the 7/2+2x function.

Insert x into the function that has a true domain statement:

f(-3)=7/2+2(-3)

Evaluate:

f(-3)=7/2-6

Obtain a common denominator to subtract fractions:

f(-3)=7/2-(6•2/1•2)

Remember, -6 is equivalent to -6/1, so we multiply the numerator and denominator by 2 to get a common denominator.

Simplify:

f(-3)=7/2-12/2

Subtract the numerators only; denominators stay as 2:

f(-3)=(7-12)/2

Answer: f(-3)=-5/2

—————————————————————

f(-1)

-1≤-1, so we must use the 7/2+2x function again. We must always check x in all domain piecewise cases.

Let’s evaluate f(-1):

f(-1)=7/2+2(-1)

f(-1)=7/2-2

Obtain a common denominator; -2=-2/1:

f(-1)=7/2-(2•2/1•2)

f(-1)=7/2-4/2

f(-1)=(7-4)/2

Answer: f(-1)=3/2
—————————————————————

f(3)

Let’s check all domain cases. We see the only true statement is: 3≥3, so we must use the 1/4x function.

f(3)=1/4(3)

Answer: f(3)=3/4

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How should this model be completed to represent 3,723 ÷ 51?

Enter your answers in the boxes.

Answers

The completed entries is added as an attachment

How to determine the entries in the box

From the question, we have the following parameters that can be used in our computation:

3,723 ÷ 51

Express 3,723 as 2295 + 1428

So, we have the following representation

3,723 ÷ 51 = (2295 + 1428) ÷ 51

Expand the expression

So, we have the following representation

3,723 ÷ 51 = 2295 ÷ 51 + 1428 ÷ 51

Evaluate the quotients

3,723 ÷ 51 = 45 + 28

Next, we complete the blanks (see attachment) for the completed entries

subtract the product of 2 and 15 divided by 3 from 10​

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subtract the product of 2 and 15 divided by 3 from 10