Answer:
S = 1/2 . x^2 + 11/2 . x + 15
Step-by-step explanation:
- Let S = the area of the shaded region
- From the figure we see that S = 1/2 the area of the rectangle
- The area of the rectangle is (x+5)(x+6) = x^2 + 11x + 30
--> S = 1/2 (x^2 + 11x + 30)
--> S = 1/2 . x^2 + 11/2 . x + 15
Which expressions are equivalent to z+(z+6)
Answer:
It's 2 (z + 3)
please help I will give brainliest
which expression is equivalent to 1.5(6x+3y)+2x-0.05y?
A.11x+4.45y
B.11x+5y
C.11x+2.95y
D.9.5x+4y
Answer:
The correct option is (a).
Step-by-step explanation:
We need to find the expression that is equivalent to 1.5(6x+3y)+2x-0.05y.
Firstly opening brackets as follows :
[tex]1.5(6x+3y)+2x-0.05y=1.5\times 6x+1.5\times 3y+2x-0.05y\\\\=9x+4.5y+2x-0.05y[/tex]
Now taking x terms and y terms together
[tex]9x+4.5y+2x-0.05y=(9x+2x)+(4.5y-0.05y)\\\\=11x+4.45y[/tex]
So, 1.5(6x+3y)+2x-0.05y is equal to 11x+4.45y.
Point G is on line segment FH. Given GH = 8, FH = 3x + 3, and FG = 2x,
determine the numerical length of FG.
Answer:
10
Step-by-step explanation:
What is the formula for the volume of a cylinder
Solve the equation
7x25=30
Answer:
x = -(-30/7)^(1/25) or x = (30/7)^(1/25) or x = (-1)^(2/25) (30/7)^(1/25) or x = -(-1)^(3/25) (30/7)^(1/25) or x = (-1)^(4/25) (30/7)^(1/25) or x = -(-1)^(1/5) (30/7)^(1/25) or x = (-1)^(6/25) (30/7)^(1/25) or x = -(-1)^(7/25) (30/7)^(1/25) or x = (-1)^(8/25) (30/7)^(1/25) or x = -(-1)^(9/25) (30/7)^(1/25) or x = (-1)^(2/5) (30/7)^(1/25) or x = -(-1)^(11/25) (30/7)^(1/25) or x = (-1)^(12/25) (30/7)^(1/25) or x = -(-1)^(13/25) (30/7)^(1/25) or x = (-1)^(14/25) (30/7)^(1/25) or x = -(-1)^(3/5) (30/7)^(1/25) or x = (-1)^(16/25) (30/7)^(1/25) or x = -(-1)^(17/25) (30/7)^(1/25) or x = (-1)^(18/25) (30/7)^(1/25) or x = -(-1)^(19/25) (30/7)^(1/25) or x = (-1)^(4/5) (30/7)^(1/25) or x = -(-1)^(21/25) (30/7)^(1/25) or x = (-1)^(22/25) (30/7)^(1/25) or x = -(-1)^(23/25) (30/7)^(1/25) or x = (-1)^(24/25) (30/7)^(1/25)
Step-by-step explanation:
Solve for x:
7 x^25 = 30
Hint: | Divide by an appropriate factor to make the coefficient of x^25 equal to 1.
Divide both sides by 7:
x^25 = 30/7
Hint: | Take 25^th roots of both sides.
Taking 25^th roots gives (30/7)^(1/25) times the 25^th roots of unity:
Answer: x = -(-30/7)^(1/25) or x = (30/7)^(1/25) or x = (-1)^(2/25) (30/7)^(1/25) or x = -(-1)^(3/25) (30/7)^(1/25) or x = (-1)^(4/25) (30/7)^(1/25) or x = -(-1)^(1/5) (30/7)^(1/25) or x = (-1)^(6/25) (30/7)^(1/25) or x = -(-1)^(7/25) (30/7)^(1/25) or x = (-1)^(8/25) (30/7)^(1/25) or x = -(-1)^(9/25) (30/7)^(1/25) or x = (-1)^(2/5) (30/7)^(1/25) or x = -(-1)^(11/25) (30/7)^(1/25) or x = (-1)^(12/25) (30/7)^(1/25) or x = -(-1)^(13/25) (30/7)^(1/25) or x = (-1)^(14/25) (30/7)^(1/25) or x = -(-1)^(3/5) (30/7)^(1/25) or x = (-1)^(16/25) (30/7)^(1/25) or x = -(-1)^(17/25) (30/7)^(1/25) or x = (-1)^(18/25) (30/7)^(1/25) or x = -(-1)^(19/25) (30/7)^(1/25) or x = (-1)^(4/5) (30/7)^(1/25) or x = -(-1)^(21/25) (30/7)^(1/25) or x = (-1)^(22/25) (30/7)^(1/25) or x = -(-1)^(23/25) (30/7)^(1/25) or x = (-1)^(24/25) (30/7)^(1/25)
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make? Check all that apply. He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make?
Answer: the correct answer is A and D
Step-by-step explanation:
Just answered the question.
Answer:
He used an incorrect time ratio converting hours to minutes.
He incorrectly concluded that she is not running fast enough.
Step-by-step explanation:
Got it right on edg
Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?
Answer:
The coordinates of D is (-4,-9)
Step-by-step explanation:
Given
C = (2,7)
M=(-1,-1) ----- Missing part of question
Required
Determine the coordinates of D
Let the coordinates of D be (x₂,y₂)
We'll solve this question using mid point formula;
[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where
[tex]C(x_1,y_1) = (2,7)[/tex] and [tex]M(x,y) = (-1,-1)[/tex]
Put these values in the formula
[tex](-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})[/tex]
By comparison;
[tex]-1 = \frac{2+x_2}{2}[/tex] and [tex]-1 = \frac{7+y_2}{2}[/tex]
[tex]-1 = \frac{2+x_2}{2}[/tex]
Multiply both sides by 2
[tex]-2 = 2 + x_2[/tex]
Subtract 2 from both sides
[tex]-2 -2 = x_2[/tex]
[tex]x_2 = -4[/tex]
[tex]-1 = \frac{7+y_2}{2}[/tex]
Multiply both sides by 2
[tex]-2 = 7 + y_2[/tex]
Subtract 7 from both sides
[tex]-2 - 7 = y_2[/tex]
[tex]y_2 = -9[/tex]
Hence, the coordinates of D is (-4,-9)
Write the equation for a line in slope-intercept form (y=mx+b) that
is parallel to y = -2x + 3 and passes through the point (-3,5).
Answer:
y = -2x - 1
Step-by-step explanation:
Parallel lines have the same slope, so the slope will also be -2.
Plug this slope and the given point into the equation y = mx + b and solve for b:
y = mx + b
5 = -2(-3) + b
5 = 6 + b
-1 = b
Then, plug this and the slope into the equation:
y = -2x -1 will be the equation
Charmaine works mowing lawns and babysitting. She earns $8.80 an hour for mowing and $8.10 an hour for babysitting. How much will she earn for 6 hours of mowing and 1 hour of babysitting?
Answer:
Charmaine earns $60.90 for 6h for mowing and 1h for babysitting.
Step-by-step explanation:
We must write the data problems.
Charmaine = $8.80/h mowing
Charmaine = $8.10/h babysitting
How much will Charmaine earn for 6 h mowing and 1 h babysitting?
1 h mowing ....................... $8.80
6 h mowing ....................... $x
x = 6 h mowing * $8.80
x = $52,8
To find the total earn of Charmaine, we have to gather the earns from mowing and babysitting.
$52,8 (from mowing) + $8.10 (from babysitting) = $60.90
Steve's lawn is 60 feet long and 40 feet wide.
He would like to reduce its size to one half
its original area. If he reduces the width to
30 feet, what should the new length be?
Answer:
40 feet
Step-by-step explanation:
60x40=2400
2400/2=1200
1200/30=40
Which ordered pairs make the open sentence true?
5x- y > 12
Select all the correct answers.
(3, 4)
(4, 9)
(1, – 8)
- (0, – 10)
(-1, – 17
Answer:
(1, -8)
Step-by-step explanation:
5(1) - (-8) = 5 + 8
= 13.
An ordered pair is represented by (x,y). The ordered pair that makes the sentence 5x- y > 12, true is (1,-8)
Given that:
[tex]5x - y > 12[/tex]
First, we test each option
[tex](a)\ (3,4)[/tex]
So, we have:
[tex]5 \times 3 - 4 > 12[/tex]
[tex]15 - 4 > 12[/tex]
[tex]11 > 12[/tex] ---- This is false
[tex](b)\ (4,9)[/tex]
So, we have:
[tex]5 \times 4 - 9 > 12[/tex]
[tex]20 - 9 > 12[/tex]
[tex]11> 12[/tex] --- This is false
[tex](c)\ (1,-8)[/tex]
So, we have:
[tex]5 \times 1 --8 > 12[/tex]
[tex]5 +8 > 12[/tex]
[tex]13 > 12[/tex] --- This is true
[tex](d)\ (0,-10)[/tex]
So, we have:
[tex]5 \times 0--10 > 12[/tex]
[tex]0+10>12[/tex]
[tex]10>12[/tex] ---- This is false
[tex](e)\ (-1,-17)[/tex]
So, we have:
[tex]5 \times -1 --17 > 12[/tex]
[tex]-5 +17 > 12[/tex]
[tex]12 > 12[/tex] --- This is false
Hence, the ordered pair that makes [tex]5x - y > 12[/tex], true is: [tex](c)\ (1,-8)[/tex]
Learn more about ordered pair at:
https://brainly.com/question/13688667
FAIpQLSDODAao9u4Y1tCopNRMLxSthe8ht18w
16) 14x –9y=-25
7x – y=-30
Answer:
what
Step-by-step explanation:
The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one.
Graph the image of the given triangle after the transformation with the rule (x, y)→(x−1, y+2). Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.
Answer:
Just took the test
Step-by-step explanation:
The triangle by transformation with the rule (x, y)→(x−1, y+2) gives a triangle with vertices (-3,0), (6,5), and (3,7) and has been graphed.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
The transformation of the given triangle by rule (x, y)→(x−1, y+2) will
result in an increment of all y's values by 2 and a decrement of x's by 1.
(-2,-2) → (-3,0)
(7,3) → (6,5)
(4.5) → (3,7)
Hence "The triangle by transformation with the rule (x, y)→(x−1, y+2) gives a triangle with vertices (-3,0), (6,5), and (3,7)".
For more information about the graph of a function
brainly.com/question/27757761
#SPJ2
Powers of 10 with negative exponents:
less than 1
greater than 1
Answer:
less than 1
Step-by-step explanation:
Hey guys I’m really stressful but here the question
Y=2x
Here the pic ⬆️
Jim is twice as old as his sister. If s isthe sister's age, what is the sum of their ages?
Answer:
3s
Step-by-step explanation:
Given:
Jim is twice as old as his sister.
His sister's age is signified by the variable s.
∴ Jim's age is 2s.
You are trying to find the sum of both their ages, or add them together:
2s + s
Simplify. Combine like terms:
2s + s = 3s
3s is the expression you will use to find the sum of their ages.
Dividing by 3 is the same as multiplying by 1/3. True or false
Answer:
this is true!
Step-by-step explanation:
its true lnfao.
Answer:
Step-by-step explanation:no different
16. Construct 3 equations starting with x = 5.
TO FIND: construct 3 equation starting with x=5?
SOLUTION:
The equation is in the form of variable and constant equating.
Let the equation be x=5.
TO CREATE AN EQUATION,
FIRST WE ADD 5 BOTH SIDe,
x + 5=5+5
=x + 5=10
SECOND WE SUBRACT 5 BOTH SIDE,
x — 5=5—5
=x—5=0
THIRD WE MULTIPLY 5 BOTH SIDE,
5x=5×5
=5x=25
well u got the answer!
Brody’s family took a road trip to the Grand Canyon. Brody fell asleep 65% of the way through the trip. If 35 sleep after they have travel 390 miles, what was the total length of the trip?
Answer:
Total length of the trip = 600 miles
Step-by-step explanation:
Given:
Distance travel during sleep = 65%
Distance travel during sleep = 390 miles
Find:
Total length of the trip
Computation:
Total length of the trip = Distance travel during sleep [100 / 65]
Total length of the trip = 390 [100 / 65]
Total length of the trip = 600 miles
Identify the monomial: -5.12
A monomial
B binomial
C trinomial
D quadrinomial
Answer:
-5 times 12 is a binomial
Step-by-step explanation:
two terms = binomial
HOWEVER IF IT's -5.12 then it's a monomial because it's one term
what is another way to write -3 x (4 + 7)
For what value of the variable will the expression 8b−27 be equal to the following:
5
Answer:
We need to find the value of b to make 8b - 27 be equal to 5, so:
8b - 27 = 5
We solve the equation:
8b = 5 + 27
8b = 32
We divide both sides by 8:
b = 32/8 = 4
So now, we know that b=4, and we can verify:
8*4 - 27 = 5
32 - 27 = 5 TRUE
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Work your brain this evening y'all!! I had $3.00. My Mom gave me $10.00. My Dad Gave me $30.00. My Aunt & Uncle gave me $100.00. I had another $7.00. How much did I have?
Answer:
150 i think
Step-by-step explanation:
If you were to spin a spinner at right, what would be the probability of landing on a green or purple?
Answer:
2/3 probability or 66%
Step-by-step explanation:
hope this helps!!
true or false if a x b=0 the either a=0 or b=0 pls help!!
Answer:
yes that answer is true
True or False? If false, explain why? All whole numbers are natural numbers.
Answer:It depends, many people do count 0 as a natural number, but MOST do not.
So for most HS text book, the answer is NO, all whole numbers are not natural numbers and the reason is 0 is a whole number but not a natural number.
Answer:
false
Step-by-step explanation:
because the set of whole numbers starts from 0 whereas the set of natural numbers starts from 1 and so on
QS¯¯¯¯¯¯¯ bisects ∠PQR . If m∠PQS = 5x and m∠RQS = 2x + 6, then what is m∠PQR ? m∠PQR is
Answer:
[tex]PQR = 20[/tex]
Step-by-step explanation:
Given
Bisector: QS
[tex]PQS = 5x[/tex]
[tex]RQS = 2x + 6[/tex]
Required
Determine PQR
Since PQR is bisected to PQS and RQS, we have that
[tex]PQS = RQS[/tex]
Substitute expressions for PQS and RQS
[tex]5x = 2x + 6[/tex]
Collect Like Terms
[tex]5x - 2x = 6[/tex]
[tex]3x = 6[/tex]
Divide both sides by 3
[tex]x = 2[/tex]
Solving for PQR;
[tex]PQR = PQS + RQS[/tex]
[tex]PQR = 5x + 2x + 6[/tex]
[tex]PQR = 7x + 6[/tex]
Substitute 2 for x
[tex]PQR = 7 * 2 + 6[/tex]
[tex]PQR = 14 + 6[/tex]
[tex]PQR = 20[/tex]
In a two-step equation, you should take care of multiplication and division before addition and subtraction.
What is 0.57 x 1000?
Answer:
570
Step-by-step explanation:
When we are multiplying anything by 10, we are multiply by the base ten rules.
If that is the case, then when we multiply 0.57 by 1000, we move the decimal place 3 times to the right.
We should get 570 as our answer.
Answer:
570
Step-by-step explanation:
.
please help!! Please give step by step so i can understand
Find p in the equation ( attached photo of the equation)
Answer:
p = - 14
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Note 81 = 9² and 729 = 9³
Given
[tex](81)^{-4}[/tex] ÷ [tex](729)^{2-p}[/tex]
= [tex](9^{2}) ^{-4}[/tex] ÷ [tex](9^{3}) ^{2-p}[/tex]
= [tex]9^{-8}[/tex] ÷ [tex]9^{6-3p}[/tex]
= [tex]9^{-8-(6-3p)}[/tex]
= [tex]9^{-8-6+3p}[/tex]
= [tex]9^{3p-14}[/tex]
Thus
[tex]9^{3p-14}[/tex] = [tex]9^{4p}[/tex]
Since bases on both sides are equal then equate the exponents
4p = 3p - 14 ( subtract 3p from both sides )
p = - 14