Which of the following expressions are equal to -8/11 - 3/4 - 1/4

Which Of The Following Expressions Are Equal To -8/11 - 3/4 - 1/4

Answers

Answer 1

In the expressions that we are given, we can note that there is a negative in all of them. This means that we can factor out the negative.

With the negative factored out, it will look like this: [tex]-(\frac{8}{11} + \frac{3}{4} + \frac{1}{4} )[/tex]
The reasoning for this is because you distribute the negative to each term. For example 8/11 is a term, and so is 3/4, and 1/4. So our first answer is D.

Another way we can do this is by combining like terms. We see that in the denominator for -3/4 and -1/4 they both share 4. We can combine it so it becomes -4/4 or -1. It would be E.

The third way
we can do this is by rewriting it. Answer A rewrites it so that it is + -, effectively just -. This allows us to treat the equation as if it were the original one.

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Related Questions

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
(f + g(x)>3 for all values of x
(f + g)(x)<3 for all values of x
(f + g)(x)>6 for all values of x
(f + g)(x)<6 for all values of x

Answers

Answer:   for all values of x

Step-by-step explanation:

[tex](f+g)(x)=|x|+9-6=|x|+3[/tex]

Since the range of y = |x| is [tex]y \geq 0[/tex], adding 3 to this shifts the graph 3 units up, giving us that [tex](f+g)(x) \geq 3[/tex] for all values of x.

Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven-dollar games could he buy with the money he had left?

Answers

Answer:

three

Step-by-step explanation:

60 - 39 = 21

21/7 = 3

Answer = 3

60-39
21 divided by 7
3

The legs of a 90-45-45 triangle are 3 and 7. What is the hypotenuse?

Answers

Answer:

The hypotenuse is [tex]\sqrt{58}[/tex]

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 + 7^2 = c^2

9 + 49 = c^2

58 = c^2

Taking the square root of each side

[tex]\sqrt{58} = \sqrt{c^2}[/tex]

[tex]\sqrt{58} =c[/tex]

PLEASE HELP!!!!!!!!!

Answers

The equivalent expression to ∑n(n+1) is ∑n²+∑n.

What is Equivalent expression?

Equivalent expressions are defined as algebraic expressions which give the same resulting expression. An algebraic expression (or) a variable expression is defined as a combination of terms by the operations such as addition, subtraction, multiplication, division.

Here, given expression;

       ∑(n(n+1))

     = ∑ (n² + n)

     = ∑n²+∑n

Thus, the equivalent expression to ∑n(n+1) is ∑n²+∑n.

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3y + 9x = 21 Graph A On a coordinate plane, a line goes through (negative 3, negative 2) and (0, 7). Graph B On a coordinate plane, a line goes through (0, negative 7) and (3, 2). Graph C On a coordinate plane, a line goes through (0, 7) and (3, negative 2). Graph D On a coordinate plane, a line goes through (negative 3, 2) and (0, negative 7). a. Graph A c. Graph C b. Graph B d. Graph D Please select the best answer from the choices provided

Answers

Answer:

Graph C

Step-by-step explanation:

Graph A (-3, -2) (0, 7)

3(7) + 9(0) = 21

21 = 21 ✓

3(-2) + 9(-3) = 21

-6 - 27 = 21

-33 = 21  ✖

Graph B (0, -7) (3,2)

We know from above that (0, 7) is a point on the line 3y + 9x = 21, therefore point (0, -7) cannot be on that line.

3(2) + 9(3) = 21

6 + 27 = 21

33 = 21  ✖

Graph C (0, 7) (3, -2)

We know from above that (0, 7) is a solution.

3(-2) + 9(3) = 21

-6 + 27 = 21

21 = 21 ✓

Since both points on graph C is a solution to the equation of the line given, it is the answer (looking at graph D is not necessary unless you want to double check your answer).

Please help! Please help with all sections

Answers

The number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.

What is an independent variable?

An independent variable simply means the variable that's changed to test the effect on the dependent variable.

Here, the number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.

This is because the number of hours is being used to predict cumulative grade point average.

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if 3t -7 = 5t, then 6t =

Answers

Answer:

21

Step-by-step explanation:

[tex]3t-7=5t[/tex]

subtract 3t from both sides

[tex]-7 = 2t[/tex]

multiply both sides by 3

[tex]-21 = 6t[/tex]

so 6t = -21

Its 21 because you put the variables on one side and then divide to find the value of t

solve the equation 7m^2-4m+1=0. fully simplify all answers, including non-real solutions

m=

Answers

Answer:

m is not an element of real number

Two dice are rolled. What is the probability of getting a sum equals 5?

Probability = (Round to 4 decimal places)

Answers

Ruuehshsnsnybsby. Xhdjdjsnsjjejsbx dhdjidsnbdbd hdhdhdbdsh

What is the exact value of sin (- 105)?​

Answers

Answer:

Just put it into a calculator

0.97053528353

[tex]\text{Let's find the sine of -105 degrees}\\\text{Start by typing -105 into our calculator}\\\text{and click the sin button}\\\text{It gives us an irrational number, which is the sine of -105 degrees}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{The value is end less, it would take an eternity to type it here,}\\\text{ but I will round it to the nearest 100th}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{-0.97}[/tex]

The point A(0,3) and point B(4,19) lie on the line L.
Find the equation of line L

Answers

Answer:  The equation is   y = 4x+3

Slope = 4

y intercept = 3

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

Explanation:

Let's start off by finding the slope.

[tex]A = (x_1,y_1) = (0,3) \text{ and } B = (x_2,y_2) = (4,19)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{19 - 3}{4 - 0}\\\\m = \frac{16}{4}\\\\m = 4\\\\[/tex]

The slope is 4.

The y intercept is 3 because of the point (0,3)

We go from y = mx+b to y = 4x+3

m = slope

b = y intercept

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

Check:

Plug in x = 0 and we should get to y = 3

y = 4x+3

y = 4(0)+3

y = 0+3

y = 3

That works out. Now try x = 4. It should lead to y = 19

y = 4x+3

y = 4(4)+3

y = 16+3

y = 19

The answer is confirmed.

The graph of y=x^3 is transformed as shown in the graph below. Which equation represents the transformed function?

y = x^3 - 4
y = (x - 4)^3
y = (-x - 4)^3
y = (-x)^3 - 4

Answers

Y=(-x)^3-4 the last one hope this helped on time!! If u ever need help with this u can use the desomos calculator it’s perfect for graphing good luck!

Suppose Jenny places 9500 in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account.

Answers

tell me your the greatest but once you turn they hate us

evaluate 7/8+1/4÷6/7​

Answers

Step-by-step explanation:

[tex] = \frac{7}{8} + \frac{1}{4} \div \frac{6}{7} [/tex]

[tex] = \frac{7}{8} + \frac{1}{4} \times \frac{7}{6} [/tex]

[tex] = \frac{7}{8} + \frac{7}{24} [/tex]

[tex] = \frac{7 \times 3}{8 \times 3} + \frac{7}{24} [/tex]

[tex] = \frac{21}{24} + \frac{7}{24} [/tex]

[tex] = \frac{28}{24} [/tex]

[tex] = \frac{7}{6} [/tex]

7/8+(1/4÷6/7​)

1/4 ÷ 6/7 = 7/24

7/8 + 7/24 = 7/6 = 1 1/6

Given the diagram below, what is cos(45)?
A. √2
B.1/√2
C. 3√2
D. 1/√3

Answers

Using the cosine ratio, the value of cos(45) in the diagram is: B. 1/√2.

How to Find the Cosine Ratio?

Cosine ratio is, cos ∅ = adjacent length/hypotenuse length of a right triangle.

The triangle is a 45-45-90 triangle, thus, the two legs will be the same length, which is: 9 units each.

Hypotenuse = √(9² + 9²) = √162 = 9√2 units

∅ = 45°

Adjacent = 9 units

cos 45 = 9/9√2 = 1/√2

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1.
Which of the following is the given function's
average rate of change on the interval
-3

Answers

Answer: -2

Step-by-step explanation:

[tex]g(-3)=0\\\\g(-2)=-2\\\\\frac{g(-3)-g(-2)}{-3-(-2)}=\frac{0-(-2)}{-1}=\boxed{-2}[/tex]

If you drive 72 miles and use 6 gallons of gas, what is your rate

Answers

Answer:

Well, it depends if you are asking the rate per gallon it would be 12 miles per gallon.

Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
Sector Area =
angle of sector
360
tor) πr²
Sector Area = [?] cm²
Round to four decimal places.
14 cm
46°
14 cm

Answers

The area of the shaded part is 8.1447cm²

Area of a sector

The formula to calculate the area of the shaded region is expressed as:
Area of the shaded region = Area of sector - Area of triangle

Determine the area of the sector

Area of sector = r²β/2

Area of sector = 14²(46π/180)/2

Area of sector = 78.64 cm²

Determine the area of triangle

Area of triangle = 1/2r²sinβ

Area of triangle = 1/2(14²sin46)

Area of triangle = 140.99/2

Area of triangle = 70.49 cm²

Area of shaded part = 78.64 cm² -  70.49 cm²

Area of shaded part = 8.1447cm²

Hence the area of the shaded part is 8.1447cm²

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Question 6b
6b of 6
The width of a rectangle is 15 centimeters less than its length. If the area of the
rectangle is 100 square centimeters, find the length and the width using the formula
A = lw.
O Length = 25 centimeters and Width = 10 centimeters
○ Length = 20 centimeters and Width = 5 centimeters
O Length = 115 centimeters and Width = 100 centimeters
○ Length = 5 centimeters and Width = 20 centimeters

Answers

Answer:

○ Length = 20 centimeters and Width = 5 centimeters

Step-by-step explanation:

Let the length = L

Then the width is L - 15

A = lw

100 = L(L - 15)

L² - 15L - 100 = 0

(L - 20)(L + 5) = 0

L - 20 = 0  or  L + 5 = 0

L = 20  or  L = -5

Since a length of a rectangle cannot be negative, we discard the solution L = -5 and keep the solution L = 20.

L = 20

width = L - 15 = 20 - 15 = 5

Answer:  ○ Length = 20 centimeters and Width = 5 centimeters

Help me please help help

Answers

[tex]\angle P = \angle S \Rightarrow \angle S = 42 &^\circ\\\angle Q = \angle T \Rightarrow \angle S = 86 &^\circ\\\angle R = \angle U\\[/tex]

Sum of all angles in a triangle equals 180:

[tex]\angle R = 180 - (86 + 42) = 180 - 128 = 52[/tex]

Answer:

[tex]U = 52 &^ \circ[/tex]

What is the median of these figure skating ratings?
5.0 6.0 7.0 7.5 8.0 9.0 10.0

Answers

Answer:

5.0 6.0 7.0 7.5 8.0 9.0 10.0

arranging the following

5.0 , 6.0 , 7.0 , 7.5 , 8.0 , 9.0, 10.0

7.5 is the median..

At the beginning of a snowstorm, Amadou had 2 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Amadou have on his lawn 4 hours after the snow began to fall? How much snow would Amadou have on his lawn after tt hours of snow falling

Answers

Answer:

4 inches

Step-by-step explanation:

Given information:

2 inches of snow on the lawnRate of snow falling = 0.5 inches per hourSnow did not melt

Let y = height of snow on the lawn

Let t = time in hours

⇒ y = 2 + 0.5t

To find how much snow is on the lawn after 4 hours of snowing, substitute t = 4 into the found equation and solve for y:

⇒ y = 2 + 0.5(4)

⇒ y = 2 + 2

⇒ y = 4 inches

Therefore, Amadou will have 4 inches of snow on his lawn after 4 hours of snow falling.

After 4 hours of continuous snowfall at a rate of 0.5 inches per hour, Amadou would have 4 inches of snow on his lawn. After t hours of snow falling at the same rate, he would have 2 + 0.5t inches of snow on his lawn.

After 4 hours of snow falling at a constant rate of 0.5 inches per hour, Amadou would have:

Snow accumulation = Initial snow + (Snowfall rate × Time)

Snow accumulation = 2 inches + (0.5 inches/hour × 4 hours)

Snow accumulation = 2 inches + 2 inches

Snow accumulation = 4 inches of snow.

After t hours of snow falling, the amount of snow on Amadou's lawn would be:

Snow accumulation = Initial snow + (Snowfall rate × Time)

Snow accumulation = 2 inches + (0.5 inches/hour × t hours)

Snow accumulation = 2 + 0.5t inches of snow.

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Which function is graphed below?

Answers

The graph of the function is y = arcsec(x).

What is the measure of complemnt angle 42

Answers

Answer:

Complemetry angle = 90° - 40°

= 50°

Hii!

___________________________________________________________

Answer:

[tex]\sf 48\textdegree[/tex]

Step-by-step explanation:

The sum of complementary angles is always 90 degrees.

We can find the complement of 90 by setting up an equation; (let x be the unknown angle).

[tex]\implies[/tex] 42+x=90

Subtract 42 from both sides

x=48

--

Hope that this helped! Best wishes.

--

A fire fighter sees a woman trapped in the building 81 feet up from the bottom floor. If the firetruck is parked 41 feet away from the bottom of the building, at what angle of elevation, to the nearest degree, shut the fire fighter extend the ladder to reach the woman?

Answers

Answer:
63 Degrees

Steps:
Use the Pythagorean Theorem to find the missing side.

a^2 + b^2 = c^2
c = SQRT(a^2 + b^2)

c = SQRT(81^2 + 41^2)
c = SQRT(8242)
c = 90.785

ASIN is the inverse of sine.

How can I solve this? Thank you

Answers

The labeled angles are both equal to c by the corresponding angles theorem.

Thus, a+b=c by the exterior angle theorem.

In a recent year​ (365 days), a hospital had 5705

births.
a. Find the mean number of births per day.
b. Find the probability that in a single​ day, there are 17

births.
c. Find the probability that in a single​ day, there are no births. Would 0 births in a single day be a significantly low number of​ births?

Answers

Using the Poisson distribution, it is found that:

a) The mean is of 15.63.

b) The probability is of 0.0911 = 9.11%.

c) The probability is [tex]e^{-15.63}[/tex], which is less than 0.05, hence 0 births in a single day would be a significantly low number of​ births.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successes.e = 2.71828 is the Euler number.[tex]\mu[/tex] is the mean in the given interval.

Item a:

The mean is given by:

[tex]\mu = \frac{5705}{365} = 15.63[/tex]

Item b:

The probability is P(X = 17), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 17) = \frac{e^{-15.63}(15.63)^{17}}{(17)!} = 0.0911[/tex]

The probability is of 0.0911 = 9.11%.

Item c:


The probability is P(X = 0), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-15.63}(15.63)^{0}}{(0)!} = e^{-15.63}[/tex]

The probability is [tex]e^{-15.63}[/tex], which is less than 0.05, hence 0 births in a single day would be a significantly low number of​ births.

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Using the Poisson distribution, it is found that

a) The mean is 15.63.

b) The probability is[tex]e^{-15.63}[/tex] of 0.0911 = 9.11%.

c) The probability is, which is less than 0.05, hence 0 births in a single day would be a significantly low number of​ births.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P\left(X=x\right)=\frac{e^{-\mu }\mu ^x}{x!}[/tex]

The parameters are

x is the number of successes.

e = 2.71828 is the Euler number.

[tex]\mu[/tex] is the mean in the given interval.

Item a:The mean is given by:

[tex]\:\mu =\frac{5705}{365}[/tex]

Item b: The probability is P(X = 17), hence:

[tex]P\left(X=17\right)=\frac{e^{-15.63\:}\left(15.63\right)\:^{17}}{17!}=0.0911[/tex]

The probability is of 0.0911 = 9.11%.

Item c:The probability is P(X = 0), hence:

[tex]P\left(X=0\right)=\frac{e^{-15.63\:}\left(15.63\right)\:^{0}}{0!}=e^{-15.63}[/tex]

The probability is,[tex]e^{-15.63}[/tex] which is less than 0.05,

hence 0 births in a single day would be a significantly low number of​ births.

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Which angles would the consecutive interior angles theorem state are supplementary?

Answers

Angles 3 and 5; angles 4 and 6

Answer:

<3 and <5<4 and <6

Step-by-step explanation:

Now that we know how to identify consecutive interior angles, let’s talk about the theorem. The consecutive interior angles theorem states that when the two lines are parallel, then the consecutive interior angles are supplementary to each other. Supplementary means that the two angles add up to 180 degrees.

Find the average rate of change of the function on the interval specified.
g(x) = 7x3 − 4
on
[−3, 3]

Answers

The average rate of change of the function will be 63.

The average rate of change of the function is used to find the slope of the graphed function which can be calculated by the change in y value divided by the change in x value.

The average rate of change of function f(x) in the interval [a,b] can be calculated as avearge rate of change= (f(b)- f(a))/(b-a)

Here given function is g(x) = 7x³-4

which is defined in the interval [-3,3].

So using the defination of the average rate of change, The average rate of change= (g(3)-g(-3))/(3-(-3))

= {(7(3³)-4)-(7*(-3)³-4)}/(3-(-3))

= {(189-4)-(-189-4)}/(3+3)

= (185-(-193))/6

= (185+193)/6

= 378/6

= 63

Therefore the average rate of change of the function will be 63.

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The number of employees working for Sprockets R Us in 2005 was 8110, with an expected decrease of 0.5% per year. At the rate of decrease given, what is the expected number of employees working at Sprockets R Us in 2006? Round your answer to the nearest integer.

Answers

The expected number of employees working at Sprockets R Us in 2006 will be 8069.45.

What are percentages?

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The number of employees working for Sprockets R Us in 2005 was 8110, with an expected decrease of 0.5% per year. At the rate of decrease given, what is the expected number of employees working at Sprockets R Us in 2006?

The number of the employees in 2006 will be calculated as:-

Number of employees decreased   = 0.5% x 8110

Number of employees decreased   = (0.5/100) x 8110

Number of employees decreased   = 40.55

The number of the employees in 2006 will be

N = 8110 - 40.55 = 8069.45

                                                                       

Therefore the expected number of employees working at Sprockets R Us in 2006 will be 8069.45.

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