Answer:
-18
Step-by-step explanation:
So we have the expression:
[tex]a-6y[/tex]
And we want to evaluate it when y=2 and a=-6.
Substitute in these values:
[tex]=(-6)-6(2)[/tex]
Multiply:
[tex]=(-6)-12[/tex]
Subtract:
[tex]=-18[/tex]
Answer:
-18
Step-by-step explanation:
We are given the expression:
[tex]a-6y[/tex]
and asked to evaluate when a= -6 and y=2.
Therefore, we must substitute -6 in for a and 2 in for y.
[tex]a-6y , a=-6, y=2[/tex]
[tex](-6)-6(2)[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction.
Multiply 6 and 2.
[tex](-6)-(6*2)[/tex]
[tex](-6)-(12)[/tex]
[tex](-6)-12[/tex]
Subtract 12 from -6.
[tex](-6-12)[/tex]
[tex]-18[/tex]
The expression a-6y when evaluated for a=-6 and y=2 is equal to -18.
PART 5 - Mathematical knowledge
If 4x + 12 = 0, then x=
A -16
B -12
С-3
D
1/3
Click the button or type the letter tot
Answer: C) -3
Step-by-step explanation: 4(-3) + 12 = 0
Given a=20 and b=a/4-3 what is the value of b
Answer: b=20
Step-by-step explanation:
Subsitute a for 20.
b=20/4-3
b=20/1
b=20
Answer:
pretty positive it’s 2
Step-by-step explanation:
if a=20 then you’d use pemdas so 20/4=5 then 5-3=2 so b=2
Help me please! LAST TWO QUESTIONS.
Answer:
1) [tex](4x)(x+2)-x(3x+5)[/tex]
2A) [tex]w^2+3w[/tex]
2B) [tex]28\text{ in}^2[/tex]
Step-by-step explanation:
1)
First, let's write the expressions for the area of the entire shaded region and the white area.
The formula for the area of a rectangle is given by:
[tex]A=lw[/tex]
For the entire shaded rectangle, the length is (4x) and the width is (x+2). So, the area is:
[tex](4x)(x+2)[/tex]
For the white rectangle, the length is (3x+5) and the width is (x). So, the area is:
[tex]x(3x+5)[/tex]
The shaded area is the entire shaded rectangle minus the area of the white rectangle. Therefore, our expression would be:
[tex](4x)(x+2)-x(3x+5)[/tex]
2)
Part A)
So, we are given that the length of the rectangle is 3 inches greater than the width.
The area of a rectangle is given by:
[tex]A=lw[/tex]
So, let w be width and let l be the length.
Since the length is 3 inches greater than the width, this means that the l is (w+3).
Thus, substitute. Our expression will therefore be:
[tex]lw\\w(w+3)[/tex]
Since we want a polynomial, let's expand:
[tex]=w^2+3w[/tex]
Part B)
To find the area when the width is 4, substitute 4 for w:
[tex]w^2+3w\\=(4)^2+3(4)[/tex]
Square and multiply:
[tex]=16+12[/tex]
Add:
[tex]=28\text{ in}^2[/tex]
So the area is 28 square inches.
Which of the following statements are always true? Justify your answers. a. If A + B = C, then AD' + BD' = CD' b. If A'B + A'C = A'D, then B + C = D c. If A + B = C, then A + B + D = C + D d. If A + B + C = C + D, then A + B = D
Answer:
a. True
B. False
C. True
D. False
Step-by-step explanation:
a.) A+B = C then AD' + BD' = CD'
AD'+BD' = D'(A+B)
and we already have that A+B = C
such that D'C = C'D
this statement is true
b.) A'B + A'C = A'D then B+C = D
let's have A = 1 and B= 0, C= 0 and D = 1
A'(0) + A'(0) = 1(1)
0+0 = 1
0 = 1
This is false because 0 is not equal to 1
c.) A+ B=C then A+B+D= C+D
If A+B+D= C+D
Then A+B=C
The statement is true
d.) A+B+C=C+D
A+B = D
let's equate A = 0
B= 0
C= 1
D= 1
from a+b = D
We have
0+0 = 1
0 is not equal to 1
The statement is false
Answer:
a. True
B. False
C. True
D. False
Step-by-step explanation:
a.) A+B = C then AD' + BD' = CD'
AD'+BD' = D'(A+B)
and we already have that A+B = C
such that D'C = C'D
this statement is true
b.) A'B + A'C = A'D then B+C = D
let's have A = 1 and B= 0, C= 0 and D = 1
A'(0) + A'(0) = 1(1)
0+0 = 1
0 = 1
This is false because 0 is not equal to 1
c.) A+ B=C then A+B+D= C+D
If A+B+D= C+D
Then A+B=C
The statement is true
d.) A+B+C=C+D
A+B = D
let's equate A = 0
B= 0
C= 1
D= 1
from a+b = D
We have
0+0 = 1
0 is not equal to 1
The statement is false
Step-by-step explanation:
7 plus another is 20
Answer:
27
Step-by-step explanation:
Answer:
the answer would 13
Step-by-step explanation:
1) A swimming pool currently has 1,500 gallons of water in it and is filling at a rate of two gallons per hour. How many gallons will the pool hold in eight hours?
Answer:
1516 Gallons
Step-by-step explanation:
For this problem, we will simply take the initial amount of water, 1500 gallons, and add the extra water after eight hours.
So if the pool is filling at a rate of 2 gallons per hour, and 8 hours pass by, then the pool will have filled an additional 16 gallons. (2 * 8 = 16).
Then, we add the initial amount of 1500 gallons to the additional 16 gallons to get the amount of water in the pool after 8 hours.
The total the pool is holding is 1516 gallons after 8 hours.
Cheers.
What is 4/5 ( + ) 1/2 + ( 3/4)
Answer:
41/20
Step-by-step explanation:
Simplify the following:
4/5 + 1/2 + 3/4
Hint: | Put the fractions in 4/5 + 1/2 + 3/4 over a common denominator.
Put 4/5 + 1/2 + 3/4 over the common denominator 20. 4/5 + 1/2 + 3/4 = (4×4)/20 + 10/20 + (5×3)/20:
(4×4)/20 + 10/20 + (5×3)/20
Hint: | Multiply 4 and 4 together.
4×4 = 16:
16/20 + 10/20 + (5×3)/20
Hint: | Multiply 5 and 3 together.
5×3 = 15:
16/20 + 10/20 + 15/20
Hint: | Add the fractions over a common denominator to a single fraction.
16/20 + 10/20 + 15/20 = (16 + 10 + 15)/20:
(16 + 10 + 15)/20
Hint: | Evaluate 16 + 10 + 15 using long addition.
| 1 |
| 1 | 6
| 1 | 5
+ | 1 | 0
| 4 | 1:
Answer: 41/20
90000 is 1/10 of what?
Answer:
900000
Step-by-step explanation:
You multiply 90000 by 10= 900000 which is also 10/10 of of 900000 which means 1/10 of 900000 is 90000
Answer:
900000
Step-by-step explanation:
Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of PQ.
P(2.6), Q(-6,1)
(a) PQ=(Round to the nearest tenth as needed.)
Answer/Step-by-step explanation:
Given:
P(2, 6)
Q(-6, 1)
Required:
a. PQ
b. Coordinate of the midpoint of PQ
SOLUTION:
a. [tex] PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] P(2, 6) = (x_1, y_1) [/tex]
[tex] Q(-6, 1) = (x_2, y_2) [/tex]
[tex] PQ = \sqrt{(-6 - 2)^2 + (1 - 6)^2} [/tex]
[tex] PQ = \sqrt{(-8)^2 + (-5)^2} = \sqrt{64 + 25} [/tex]
[tex] PQ = \sqrt{89} = 3.1 [/tex] (to nearest tenth)
b. Coordinate of the midpoint of PQ
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] P(2, 6) = (x_1, y_1) [/tex]
[tex] Q(-6, 1) = (x_2, y_2) [/tex]
Thus:
[tex] M(\frac{2 +(-6)}{2}, \frac{6 + 1}{2}) [/tex]
[tex] M(\frac{-4}{2}, \frac{7}{2}) [/tex]
[tex] M(-2, \frac{7}{2}) [/tex]
The coordinates of the midpoint of PQ are (-2,3.5) and this can be determined by using the midpoint formula.
Given :
Coordinates -- P(2,6) and Q(-6,1)
The following steps can be used in order to determine the coordinates of the midpoint of PQ:
Step 1 - According, to the given data, the coordinates of point P(2,6) and Q(-6,1).
Step 2 - The formula of midpoint can be used in order to determine the midpoint of PQ.
Step 3 - The midpoint formula is given below:
[tex]\rm x = \dfrac{x_1+x_2}{2}[/tex]
[tex]\rm y = \dfrac{y_1+y_2}{2}[/tex]
Step 4 - Substitute the values of the coordinates in the above formula.
[tex]\rm x = \dfrac{2-6}{2} = -2[/tex]
[tex]\rm y = \dfrac{6+1}{2}=3.5[/tex]
So, the coordinates of the midpoint of PQ are (-2,3.5).
For more information, refer to the link given below:
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What are the degrees of freedom associated with the factor(s) in this study design?
Answer:
The question is unclear and incomplete.
Let me explain the degrees of freedom in statistics.
Step-by-step explanation:
Statistically, degrees of freedom which is denoted as DF is the number of independent values that can vary in an analysis without breaking any constraints. It can also be referred to as the number of independent values that a statistical analysis can estimate.
Degrees of freedom also define the probability distributions for the test statistics of various hypothesis tests.
The degree of freedom has the formula:
DF = N - 1 where N number of random variables
DF = (R - 1) x (C - 1) Where R is the number of data values and C is the number of groups
when graphing the function f(x)=-|x+5|+12 on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function
Answer: is B
Step-by-step explanation:
-20, xmax
The most appropriate viewing window for determining the domain and range of the function is Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20.
The given function is f(x)=-|x+5|+12.
We need to find the most appropriate viewing window for determining the domain and range of the function.
What is the domain and range of the function?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (-∞, ∞), {x|x∈R}
Range: (-∞, 12], {y|y≤12}
So,window=Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20
Therefore, the most appropriate viewing window for determining the domain and range of the function is Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20.
To learn more about the domain and range of the function visit:
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The 10,000-meter long-distance running event in the summer Olympics is approximately 6.2 miles. Which equation could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute?
The equation that could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute is t = 6.2/s miles/minute
What is an average speed?Average speed is defined as the rate of change in distance of a body. Mathematically;
Speed = Distance/TimeGiven the distance of the runner in miles to be;
d = 6.2milesTime taken = tAverage speed = sTo express t in terms of the average speed s and distance of 6.2miles, we will substitute the values into the formula;
s = D/tSubstituting D = 6.2miles into the formula;
s = 6.2/tCross multiply
St = 6.2Divide both sides by 's'
st/s = 6.2/s
t = 6.2/s
Hence, the equation that could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute is t = 6.2/s miles/minute
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power of a product property:states that if there is more than one factor in parenthesis,within exponent _______ the parenthesis, then the exponent is distributed to every term in the parenthesis
Answer:
The answers Outside
Assume the random variable x is normally distributed with mean and standard deviation . Find the indicated probability.
Complete Question
Assume the random variable x is normally distributed with mean u=87 and standard deviation o=5. Find the indicated probability.
P(x<81)
P(x<81)=__(Round to four decimal places).
Answer:
The value is [tex]P(x < 81) = 0.11507[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 87[/tex]
The standard deviation is [tex]\sigma = 5[/tex]
The probability is mathematically represented as
[tex]P(x < 81) = P (\frac{X - \mu }{\sigma } < \frac{81 - 87 }{5 } )[/tex]
Generally [tex]\frac{X - \mu}{\sigma} = Z (The \ z-score \ of X )[/tex]
[tex]P(x < 81) = P (Z < - 1.2)[/tex]
From the z-table
[tex]P (Z < - 1.2) = 0.11507[/tex]
So [tex]P(x < 81) = 0.11507[/tex]
What is 4 4/5+7 3/5-6
Answer:
17.4
Step-by-step explanation:
44/5 = 8.8
73/5 = 14.6
8.8 + 14.6 = 23.4
23.4 - 6 = 17.4
After he bought a new car, Nelson purchased car insurance. He must pay $75 each month for the plan.Later that month, Nelson caused a car accident when he lost control of his vehicle. He was required to pay the first $500 of his repair costs, and then the insurance company covered the rest.
Read the passage about Nelson’s car insurance.
What is the $75 payment Nelson must make each month?
premium
co-payment
deductible
payout
Answer:
Premium
Step-by-step explanation:
took the test on Edge
The $75 payment that Nelson must make each month after buying the Car is called; A: Premium
What is Insurance Premium?
Insurance Premium is defined as the amount of money that one will have to pay for an insurance contract. The insurance premium simply represents the income of the insurance company concerned.
Now, the amount of premium paid for different insurance policies usually differs depending on a number of factors. However, the greater the risks associated with an insurance policy, the higher the premium that will be paid.
Since Nelson must make $75 payment each month, then that is referred to as the Premium.
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PLEASE SOMEONE HELP IM TIMED What is 3.71 as a fraction?
Answer: 3 71/100
Step-by-step explanation:
Solve the following equation using the zero product property (x+9)(4x-1)=0 LAST TRY !!!!!
Answer:
x=-9, x=1/4
Step-by-step explanation:
Split it into x+9=0 and 4x-1=0.
x+9=0; x=-9
4x-1=0; 4x=1; x=1/4
Can you please help me with this Question if it’s right I will give you a branlist
Answer:
Second one
Step-by-step explanation:
The total length is 5 ft and Gracia has used 2 ft.
The second answer illustrates correctly the difference between 5 and 2 wich the remaining length.
● 2 + x = 5
We moved right x units
x is 3 (aftet solving the equation ir simply counting the units)
Tom Thomas took tennis lessons. He traveled 12 miles one way at an average cost of $0.42 per mile. His racket cost $94, balls cost $12.50, shoes cost $44.50, his warm-up was $34, and his shorts were $19.95. He paid 5% sales tax on his equipment, clothes, and warm-up. Tom also paid $20.00 per lesson for 12 lessons. He only had to pay for the warm-up one time. Including the cost of round trip travel, what is the total cost? $
Answer:
One Way Trip There = ($460.22)
There and Back Trip = ($465.26)
Use the ruler to measure the length of this object. (IMAGE BELOW)
Answer: 5 cm
Step-by-step explanation:
To use a ruler, you read it from left to right, where the numbers get larger and larger. The blue end of the ruler starts at 0 cm, where it should start. Going right, we see that it ends at 5 cm. Therefore, our answer is 5 cm.
(y^3+6y+3) and (y^2-6y-6)
What is the product of the binomials below?
(2x +5)(3x+4)
O A. 6x² +23x +20
O B. 5x2 +23x +9
O C. 6x2 + 23x +9
O D. 5x2 +23x+20
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6 {x}^{2} + 23x + 20}}}}}[/tex]
Option A is the correct option.
Step-by-step explanation:
[tex] \sf{(2x + 5)(3x + 4)}[/tex]
Use the distributive property to multiply each term of the first binomial by each term of the second binomial
⇒[tex] \sf{2x(3x + 4) + 5(3x + 4)}[/tex]
⇒[tex] \sf{6 {x}^{2} + 8x + 15x + 20}[/tex]
Collect like terms
⇒[tex] \sf{6 {x}^{2} + 23x + 20}[/tex]
Hope I helped !
Best regards!!
please help me with this
which expression is equivalent to (12^4) 2/9^?
Answer:
(124)(29)
=10616832
Step-by-step explanation:
if you know the ratio of students to teachers is 5 to 1 and you know there are 15 teachers, how many students are there?
Answer:
Ratio = 5:1
= 5 / 1
Number of teachers = 15
Lets take the number of students = x
Therefore,
5:1 = x:15
= 5/1 = x/15
x = 15 × 5
= 75 students
Hope it helps!!
Convert 6 1/2 % to a decimal
Answer:
6.5=.065
Step-by-step explanation:
im assuming this is 6.5/100
hope this helps :)
A visitor guide for a downtown area lists many restaurants. Which of the following is an example of a quantitative variable the guide could report for each restaurant? A. the zip code of the restaurant B. the number of seats in the restaurant C. the type of cuisine the restaurant offers D. a restaurant critic’s letter grade (A–F)
The correct answer is B. The number of seats in the restaurant
Explanation:
The number of seats is a quantitative variable because this is expressed using numbers and can be understood through numbers. For example, the average of seats in the restaurants in the area can be calculated by finding the total of seats and dividing the number into the number of restaurants.
On the other hand, the type of cuisine and the restaurant critic's letter grade do not involve numbers but qualities, which make them qualitative variables. Also, even if zip codes are expressed using numbers these cannot be understood through them, for example, you cannot add two zip codes.
Answer:
B
Step-by-step explanation:
Rewrite the equation of a straight line in a slope - intercept form x + 2y + 1 = 0
Answer:
y = -x/2 -1/2
Step-by-step explanation:
[tex]x + 2y + 1 = 0\\[/tex]
Write in the y=mx+b form
[tex]2y =-x-1+0\\2y =-x-1[/tex]
Divide both sides by 2
[tex]\frac{2y}{2} =\frac{-1x}{2} -\frac{1}{2} \\\\y = -\frac{x}{2} -\frac{1}{2}[/tex]
I need help with this question plz thx
Answer:
[tex]3y^3 - 5x[/tex]
Step-by-step explanation:
Hey there!
Given,
[tex]x - 3y^3 + 3x^3 - 5x - x^3 - x - 2x^3[/tex]
Combine like terms
[tex]3y^3 - 5x[/tex]
Hope this helps :)
Answer:
= -3y³ - 5x
Step-by-step explanation:
x - 3y³ + 3x³ - 5x - x³ - x - 2x³
= -3y³ + (3x³ - x³ - 2x³) + (x - 5x - x)
= -3y³ + 0 - 5x
= -3y³ - 5x
Example
The size of a playground is 160 feet by 360
feet. A model is created that measures 4
inches by 9 inches.
Unit Rates
Answer:
The playground is 160ft by 360ft.
The model is 4in by 9in
First, 1ft = 12 inches.
Then the measures of the playground, in inches, is:
160*12in = 1920 in
360*12in = 4320in
The playground is 1920in by 4320in.
Then, the ratios between the measures of the playground and the model are:
1920in/4in = 480
4320in/9in = 480
This means that each inch in the model, represents 480 inches in the actual playground.