Answer:
7
Step-by-step explanation:
First use the (a-b) and (a+b) = a^2 - b^2 which is equal to 25 - 9 x 2
then you multiply 9 x 2 which is 18 so 25 - 18 thus 7. The trick is to remember the rules.
Find the solution set for x. x+17>65
Answer:
Move all terms not containing
x
to the right side of the inequality.
Inequality Form:
x > 48
Interval Notation:
(48,∞)
Hope this helps
Write an explicit formula for each arithmetic sequence.
An = An - 1 - 3; A1 = 10
The height h (in feet) of an object dropped from a window after x seconds can be modeled by h(x)=−16x2+64 . The object is dropped a second time so that it hits the ground 1.5 seconds sooner. Write a function g that models the path of the object the second time it is dropped.
Answer:
g(x) = - 16x² + 4
Step-by-step explanation:
Given the model:
First drop:
h(x) = - 16x² + 64
Second drop hits the ground 1.5 seconds sooner
Function g(x) to model the second drop:
-16t² + V0t + h0
h(x) = - 16x² + 64
0 = - 16x² + 64
16x² = 64
x² = 64/16
x = 2
1.5 seconds sooner :
X = 2 - 1. 5
x = 0.5
0 = - 16(0.5)² + 0 + h0
0 = - 4 + h0
h0 = 4
Hence,
g(x) = - 16x² + 4
How to add 6% tax to 30.75
Answer:
First multiply 30.75 by 0.06 to get a total of about 1.85 . Then and 1.85 to 30.75 to get 32.60.
Step-by-step explanation:
Hope that helps!
Help me!! Interested earned: $39.50 Principal: ? Interest rate: 11% Time: 6 months
Step-by-step explanation:
P×R×T/100
39.50×11×0.5/100
195.25/100
1.9525
what is the perimeter of the rectangle shown
Answer:
Dude where is your picture?
Step-by-step explanation:
There are 10 rulers, 6 erasers, and 8 red pens. Write the ratio for earaser to rulers in simplest
Answer:
The answer to the question is 5:3:4
PLEASE HELP!!!
Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form.
Answer:
y=2x+1
Step-by-step explanation:
The point-slope form is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from ordered pair, and m being the slope. You can plug all of those values into the original equation:
(y-y1)=m(x-x1)
y-3=2(x-1)
y-3=2x-2
y=2x+1
Every train carriage has four doors. How many doors will the train have if there are 10 carriages?
Answer:
40 doors.
Step-by-step explanation:
1 train carriage = 4 doors
10 train carriage = 4 x 10 = 40 doors
Please solve this I'll give you 25 points
Answer:
its linear (i know how to draw the graph but i cant show you here, just make umm an x axis and y axis from 1 to 30 ) (also i feel like theres another way to know if its linear but this is how i would do it!)
Step-by-step explanation:
to see if its linear ummm we first have to find the slope, the equation for the slope is
y2 - y1 / x2 - x1
lets use the points (2, 8) and (3, 12)
12 - 8/ 3 -2
4 / 1
4
y = 4x + b
now to find the y-intercept lets input a point we did not use yet
(5, 20)
20 = 4(5) + b
20 = 20 + b
b = 0
y = 4x
now we check if its linear with the points (6, 24) and (3.5, 14) sooo
24 = 4(6) ?
24 = 24
14 = 4(3.5) ?
14 = 14
so yes it is a linear graph
Find the common difference of the arithmetic sequence
6.05,6.1,6.15, 6.2
Answer:
0.05
Step-by-step explanation:
Common difference = 2nd term - 1st term
= 6.1 - 6.05
= 0.05
Mark invested $500 for 3 years at 6% per annum. The simple interest Mark received was
Answer:
$90
Step-by-step explanation:
We use the simple interest formula,
I = Prt
where
I = interest
P = principal amount = $500
r = interest rate = 6% = 0.06
t = time = 3 years
I = Prt
I = $500 × 0.06 × 3
I = $90
Solve for n.
8 = 2(n + 1)
Answer:
n = 3
Step-by-step explanation:
8 = 2(n + 1)
8 = 2n + 2
6 = 2n
n = 3
What is the length of diagonal RQ?
9.3 in
22 in
18.6 in
11 in
Assuming the entire quadrilateral is a parallelogram, we can say that using the property of diagonals;
The diagonals of a parallelogram bisect each other, meaning that RQ is divided into two equal parts.
If half of RQ is 9.3 then,
RQ=2×9.3=18.6 in
That's your answer RQ=18.6 in
Answer:
the answer is C.18.6
Step-by-step explanation: i took the quiz and got it right
can anyone solve this question?? plz help me tommorrow is my exam
Answer:
Loss=Rs 80
Loss%=4%
Step-by-step explanation:
Cost price of trousers for Ujeli=Rs2000
Marked price for trousers =Rs 2400
Reduction of MP(take it as discounted) =20%
Selling price=MP-20%of MP=2400 - 20/100 * 2400 = 2400 - 480 = Rs 1920
Loss amount =CP - SP = 2000 - 1920 = Rs 80
Loss% =loss amt/CP *100 =80 / 2000 *100 =4%
Hope this helps!!
Jermaine has to work with the formula, A = L x W , to find the length of his backyard. He needs to rearrange the formula to solve for "L" the length. what would the new formula look like
l = a x w
Hes trying to find lenth so the equal we be getting a and w's attention
What introduction proof is FH=FG=GH
Answer:
What grade are you in I might know it
For each expression, select all equivalent expressions from the list.
Answer:
(a) 7x +6x, (d) 13x(b) 3 +27y, (c) 3·1 +3·9yStep-by-step explanation:
You want to identify the expressions equivalent to 11x -4x +6x and 3(1 +9y).
SimplifyWe can identify the equivalent expressions by putting them all in their simplest form. This means using the distributive property to eliminate parentheses, and combining like terms.
(a) 11x -4x +6xThe simplified version of the given expression is ...
(11 -4 +6)x = 13x
The other expressions simplify to ...
7x +6x = (7+6)x = 13x . . . equivalent
7x -6x = (7 -6)x = 1x = x . . . not equivalent
13 +x (already simplest) . . . not equivalent
13x (already simplest) . . . equivalent
(b) 3(1 +9y)
The simplified form of the given expression is ...
3·1 +3·9y = 3 + 27y
The other expressions simplify to ...
3 +1·3 +9y = 6 +9y . . . not equivalent
3 +27y . . . equivalent
3·1 +3·9y = 3 + 27y . . . equivalent
3 +9y (already simplest) . . . not equivalent
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help i need this for rn :( 100 points
Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −3x2 + 24x + 3 and y = −4x2 + 25x + 15, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?
3.25 seconds
3.50 seconds
3.75 seconds
4.00 seconds
Answer:
Step-by-step explanation:
When the balloons collide, they have the same x and y:
-3x^2 + 24x + 3 = y = -4x^2 + 25x + 15
Rearranging like terms together:
(4x^2 - 3x^2) + (24x - 25x) + (3 - 15) = 0
x^2 - x - 12 = 0
(x - 4)(x +3) = 0
x = 4 or -3
As x represents time, it cannot be negative.
The time when the balloons collide is at 4.00 seconds.
The collision means that y is equal
y=-3x²+24x+3y=-4x²+25x+15So
-3x²+24x+3=-4x²+25x+15-3x²+4x²+24x-25x=15-3x²-x=12x²-x-12=0(x-4)(x+3)=0x=4,-3As it's time so must be positive
x=4s(-4)^1 standard form
Answer:
4x8x4x1x67 it's that cuz I learned
The employees of a hardware store ordered lunch from a local delicatessen. The lunch consisted of 4 turkey sandwiches and 7 orders of french fries, for a total cost of $38.30. The next day, the employees ordered 5 turkey sandwiches and 5 orders of french fries totaling $40.75. What does the delicatessen charge for a turkey sandwich? What is the charge for an order of french fries?
Answer:
Charges of Turkey is $6.25
Charges of French Fries is $1.90
Step-by-step explanation:
Given
Represent Turkeys with T and French Fries with F;
[tex]4T + 7F = 38.3[/tex]
[tex]5T + 5F = 40.75[/tex]
Required
Determine the values of T and F
[tex]5T + 5F = 40.75[/tex]
Divide through by 5
[tex]T + F = 8.15[/tex]
Make F the subject
[tex]F = 8.15 - T[/tex]
Substitute 8.15 - T for F in the first equation
[tex]4T + 7F = 38.3[/tex]
[tex]4T + 7(8.15 - T) = 38.30[/tex]
[tex]4T + 57.05 - 7T = 38.30[/tex]
Collect Like Terms
[tex]4T - 7T = 38.30 - 57.05[/tex]
[tex]-3T = -18.75[/tex]
Solve for T
[tex]T = -18.75/-3[/tex]
[tex]T = 6.25[/tex]
Recall that:
[tex]F = 8.15 - T[/tex]
[tex]F = 8.15 - 6.25[/tex]
[tex]F = 1.90[/tex]
Carlos was having a home built. The blueprints are shown below. The scale for the blueprints to the actual house is 2 inches to 7 feet.
Part A What is the actual width of the entire building
Part B What is the length of the entire building
The actual width of the entire building is 28 feet and the length of the entire building is 84 feet.
Given that, the scale for the blueprints to the actual house is 2 inches to 7 feet.
What is the scale factor?The scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape. It is used to increase or decrease the size of an object. The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Now, width = 8 inches in feet is 4 × 7 =28 feet
Length = 14+10 =24 inches in feet is 12 × 7 = 84 feet
Therefore, the actual width of the entire building is 28 feet and the length of the entire building is 84 feet.
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8 nickels 5 quarters what is the ratio of coins to quarters
Answer:
13:5
Step-by-step explanation:
13 coins and 5 quartres
Katelyn sells cars at a used car dealer on commission. The car lot pays a 18% commission when the profit on a car is under $400, 22% when the profit is at least $400 and less than $1,000, and 24% when the profit is $1,000 or more. How much will she receive if she sold $800 in profits?
Answer:
She will receive 22% commission
Step-by-step explanation:
18% commission when the profit on a car is under $400
22% when the profit is at least $400 and less than $1,000
24% when the profit is $1,000 or more.
How much will she receive if she sold $800 in profits?
She will receive 22% commission
$800 profits is greater than $400 but less than $1000
Suppose the cost of mailing a letter is $0.23 per ounce plus $0.14. The equation
gives the total cost c of mailing a letter is c = 0.23w + 0.14, where w is the weig
ounces. What is the cost of mailing a 6-ounce letter?
Answer:
$2.22
Step-by-step explanation:
First, we know that the cost of one mailing letter is $0.23 per once, plus $0.14.
Our formula is: c = 0.23w + 0.14
Let's rewrite our variables to the way it's suppsed to be.
C = cost
W = weight ounces.
Now, we have to add 0.23 plus 0.14 to get our cost.
That equals 0.37.
Now that we know that our cost for one letter is 0.37, we have to multiply
it by 6, because we are trying to figure out the cost of mailing a 6 ounce letter.
0.37 × 6 = 2.22
In conclusion, the cost of mailing a 6 ounce letter is $2.22
what is the area of y°
Answer: Below
Step-by-step explanation:
First, we start with x. We see the x is opposite of 30, so x is 30.
x + y + y = 180, since they lay on a straight angle.
180 - 30 = 150
since we still have 2 y's left:
2y = 150
y = 75
Please help me which shape is it.?
Answer:
Equilateral
Step-by-step explanation:
It is Equilateral because all sides have the same number of lines(1) telling us that all sides are the same :)
Have a wonderful day!!
Please rate and mark brainliest!!
Juanita’s boss told her that once she has worked with the company for 10 years, her salary will be increased to 3 times what she makes now plus $2,000. If s represents her original salary, which expression represents what her salary will be after 10 years at the company? One-third s 2,000 StartFraction 3 Over s EndFraction 2,000 3 s 2,000 2,000 minus 3 s.
Salary after 10 years at the company will be 3s+2000.
It is given that original salary =s
What is the multiplication of a variable x to constant p?The multiplication of a variable x to constant p is px.
Salary after 10 years as per promise = thrice of original salary +$2000
Salary after 10 years = 3*s + 2000
Salary after 10 years = 3s+2000
Therefore, salary after 10 years at the company will be 3s+2000
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the triangles are similar pls help me!!!! marking brainliest!!!!!
How to write 40% in fraction in simplest form