Answer:
A. 36 degrees
Step-by-step explanation:
180 is for straight lines,
180-79-68
= 36 degrees
Help will give brainliest
Answer:
C
Step-by-step explanation:
55% is the same thing as 0.55. 0.55(300) equals 165
Hope this helps! Please give brainliest!!
Find the average rate of change of the function
f(x) = x² + 9x from x1 = 1 to x2 = 5.
Answer:
15
Step-by-step explanation:
The function is;
f(x) = x² + 9x
We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5
Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex] where h is the change in x-axis
When x = 1 , f(x) = 1² + 9(1) = 10
When x = 5, f(x) = 5² + 9(5) = 70
f(x + h) - f(x) = 70 - 10 = 60
h = 5 - 1 = 4
So average rate of change = [tex]\frac{60}{4}[/tex] = 15
The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to
x₂ = 5 will be 15.
What is Average rate?
The average rate change is defined by divide the change in y - values by the change in x - values.
Given that;
The function is defined as;
⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5
Now,
The formula for the average rate change is given as;
Average change = f (x + h) - f (x) / h
Where, h is change in x - axis.
Since, The function is;
f(x) = x² + 9x
When, x₁ = 1
f(x) = x² + 9x
f(1) = 1² + 9
f (1) = 10
When, x₂ = 5
f(x) = x² + 9x
f(x) = 5² + 9 x 5
f (5) = 25 + 45
f (5) = 70
So, Average change = f (x + h) - f (x) / h
Average change = 70 - 10 / (5 - 1)
= 60 / 4
= 15
Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.
Learn more about the average rate visit:
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A car of mass 1200 kg, travelling at a steady speed of 15 m/s performs an emergency stop which takes 4.5 seconds. What braking force was applied by the driver and car to achieve this?
Answer:
4000 N
Step-by-step explanation:
this question should be in physics actually
m = 1200 kg
initial velocity = vo = 15 m/s
final velocity = vt = 0 because it stops
time needed = t = 4.5
so we can find the Force F by these step
first find deacceleration
vt = vo + at
0 = 15 + a(4.5)
15 = -4.5a
a = - 15/4.5 = - 10/3 = - 3.33 m/s²
F = m.a = 1200 . 10/3 = 4000 N
The sum of three consecutive integers is 270. Find the integers
Answer:
Step-by-step explanation:
89,90,91
Answer:
Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:
x + x + 1 + x + 2 = 270
3x + 3 = 270
3x = 267
x = 89 which means that the answer is 89, 90, 91.
Find the value of Y.
hey pls show some working i need some serious help
Answer:
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
Step-by-step explanation:
Step 1: Multiply exponents
[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]
Step 2: Simplify
[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]
Step 3: Flip the negative exponents
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?
Answer:
Alex : 18
Step-by-step explanation:
3 + 2 = 5
30 ÷ 5 = 6
6 × 3 = 18
6 × 2 = 12
The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each
month they received $5.50 as a credit on the bill. Which equation and solution shows
the cost of their monthly Internet service before the credit?
3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
3 (x - 5.50) = 111.75; the monthly Internet service is $42.75
1/3 (x - 5.50) = 111.75; the monthly Internet service is $42.75
1/3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
Answer:
3 (x - 5.50) = 111.75
Step-by-step explanation:
They paid $111.75 for three months, that means they minus $5.50 every month which means a total of $16.5 for three months.
So you need use $111.75 plus the credit $16.5 for three months
111.75 + 16.5 = 128.25
Then use divide them by 3, (three months)
128.25 / 3 = 42.75
So they pay $42.75 per month before the credit.
I wish this could help you.
Answer:
b
Step-by-step explanation:
because i just took the test
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x = 5.5 to the nearest tenth.
Step-by-step explanation:
Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.
The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:
cos 65 degrees = adj / hyp = x / 13, or
x = 13 cos 65
Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.
Please help me ASAP!!!
Answer:
Yes
No
Yes
No
Step-by-step explanation:
9, 15 have 3 as the GCF
12, 18 have 6 as the GCF
15, 27 have 3 as the GCF
30, 45 have 15 as the GCF
Graph g(x), where f(x) = 4x – 2 and g(x) = f(x + 1).
Answer:
Please see attached image
Step-by-step explanation:
We start by finding the actual algebraic expression for g(x):
g(x) = f(x+1) = 4(x+1) - 2 = 4 x + 4 - 2 = 4 x + 2
Then we plot this function on the x-y plane using two or three pairs solution to the equation, like:
for x = 0 g(x) = 2
for x = 1 g(x) = 6
for x = -1 g(x) = -2
and joining them with a line.
if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.
Answer:
3i + 63j
Step-by-step explanation:
Step 1: Replace the variables with the given statements
5(3i+9j) - 3(4i-6j)
Step 2: Distribute
15i + 45j -12i + 18j
Step 3: Combine like terms
3i + 63j
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
243,729
Step-by-step explanation:
You just need to multiply each number by 3.
I hope this help you :)
Answer:
243, 729
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
1, 3, 9, 27, 81,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
1 - first term
3 - second term
1 ? ? = 3
1 × 3 = 3
So, this means the sequence multiplied three to get the next term. Therefore, the pattern should be 'multiply three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
1, 3, 9, 27, 81,...
1 × 3 = 3
3 × 3 = 9
9 × 3 = 27
27 × 3 = 81
So, since 'multiply three' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next two terms.
81 × 3 = 243
243 × 3 = 729
Therefore, the next two terms in the sequence are 243, 729.
The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33
Answer: 3/21=1/7
Step-by-step explanation:
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares
total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena
wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn.
Select one:
a. 4b + 7w < 96
b. 4b + 7w < 31
c. b + w <31
O d. b/4 + w/7 < 31
Answer:
The answer is a
Step-by-step explanation:
Becuase its right
Answer:
This is not an answer, just my though process:
Step-by-step explanation:
The fastest method would use all white squares:
96 white squares would take 13.7 days to complete and cost $115.20.
The cheapest method would use all blue squares:
96 blue squares would take 24 days to complete and cost $76.80.
As we can see, time is not the limiting step, the maximum of 96 squares is limiting.
An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.
A more concise answer would be: [tex]4b\leq 96[/tex]
[tex]( {x}^{2} + 6x - 5) - ( {8x}^{2} - 7x + 5)[/tex]Find..
Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5
Step-by-step explanation:
x + 78 = 180
x = 180 - 78
x = 102° for <5
The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is driven an average of 10,000 miles per year. What will be the value of the car, in dollars, at a point in time y years from now?
A) $23,000 − $500y
B) $23,000 − $0.02y
C) $23,000 − $5,000y
D) $23,000 − $0.0002y
Answer: C
Step-by-step explanation:
If we know the value of the car decreases $500 for every 1,000 miles, and that the car is driven about 10,000 miles every year, that means that you need to take the total value of the car (23,000) and subtract it from the amount of money it is losing per year. Again, the car is driven about 10,000 miles per year, so that means that the car will most likely continue to be driven 10,000 miles per year. If you do the math, for one year, the value of the car will drop $5,000 ($500 x 10, because it is $500 per every 1,000 miles) So, for each year, you can just multiply the number of years by $5,000 to find out how much the vehicle has depreciated over time.
Hope this helped you and made sense! Feel free to ask me any questions you have!
A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?
Answer:
[tex]A = 20,000(0.85)^t[/tex]
Step-by-step explanation:
We will use the formula for compound interest here
where [tex]A = p( 1 + r)^t[/tex]
A=future value for any sum
P=present value of the sum
r= yearly interest rate, it should be expressed in decimal
t=time period , it should be in years
______________________________
given in the problem
p = $20,000
r = 15% (in decimal 15/100 = 0.15)
t is the time for which equation is to be model to find future value p
since, rate is for depreciation we need to take negative value of rate as value for computer will decrease
thus
r = -0.15
using the above values in formula [tex]A = p( 1 + r)^t[/tex]
[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]
Thus, model equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]
-5x[tex]\sqrt{3}[/tex]+11=-34
Answer:
-5√3x = -45
√3x = 9
x = 3√3
PLS HELP ME GUYS I NEED HELP WITH GEOMETRY
Answer:
7, -21
Step-by-step explanation:
F could be located 14 to the left of -7 or 14 to the right of -7. 7 and -21 could be the possible locations of F.
(139) HELLLLLLLLLLLLLLLLLLLLLLLLLP
Answer:
Step-by-step explanation:
-3.25a+4a=2-5
0.75a=-3
a = -4
Tell me if its right
PLZ HELP Find the surface area of this rectangular pyramid. 48.5 square inches 48 square inches 31.75 square inches 55 square inches
Answer:
48.5
Step-by-step explanation: i just did the problem
Answer:
48.5 is your answer
Step-by-step explanation:
pls help will mark brainliest
Answer:
[tex]1.11111 * 10^{11}[/tex] or [tex]111111000000[/tex]
Step-by-step explanation:
[tex]\frac{6666666*666666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] turns into [tex]\frac{6666666 * 666666}{36}[/tex]
[tex]\frac{777777 * 777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex] turn into[tex]\frac{777777^{2} }{49}[/tex]
[tex]\frac{6666666 * 666666}{36}[/tex] - [tex]\frac{777777^{2} }{49}[/tex] reduce these turns into
[tex]1111111 * 111111 - 15873 * 777777[/tex] multiply turns into
[tex]123456654321 - 12345654321[/tex] subtract turns into
[tex]111111000000[/tex]
Answer: 111,111,000
Step-by-step explanation: Logically it should be that
x^2 + 6x + 5 show equation
Answer:
[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]
Step-by-step explanation:
[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]
so
[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]
hope this helps
Someone with the right answer help me
Answer:
46 degrees.
Step-by-step explanation:
Sin(angle) = 5/7. Using a calculator, this angle is thus 45.6, or approximately 46 degrees.
I NEED THIS ASAP !! Which expression is modeled by this arrangement of tiles?
30 positive tiles are divided into 3 sets of 10 positive tiles.
30 divided by (negative 30)
30 divided by (negative 3)
30 divided by 3
30 divided by 30
Answer:
C
Step-by-step explanation:
Answer:
30 divided by 3
Step-by-step explanation:
30 positive tiles are divided into 3 sets of 10 positive tiles.
+30 ÷3 = +10
A water pipe took 40 minutes to fill 5 swimming pools, how long would it take to fill 3 such swimming pools?
Answer:
24
Step-by-step explanation:
It takes 40 / 5 = 8 minutes to fill one pool so it will take 8 * 3 = 24 minutes to fill 3 pools.
Answer: 24
Step-by-step explanation:
40/5=8
So 8hrs per pool, and there are 3 pools so 8*3=24min
1/2(8+6)-2=4+x-2 pls explain the steps on how to get the answer
Answer:
3
Step-by-step explanation:
1/2(8+6)-2=4+x-2
1/2*14 -2 = 2+x
7-2=2+x
5=2+x
x=5-2
x=3
What is the area of a rectangle with vertices (-8, -2), (-3,-2).(-3,-8), and (-8, -B)?
Answer:
The area of the rectangle would be 20 square units.
Step-by-step explanation:
The distance between the points (-8, -2) and (-3,-2) is 5. This is the length of the rectangle. The distance between (-3,-6) and (-3,-2) is 4. This is the width of the rectangle. To find the area, multiply the length and the width to get the 20 square units as the area.
Answer:
Area = 20
As B = -4
Where -3-1 = -4
We look at x for first measure = -8 -3 = 5
We look at y first sequence change for second measure = -B
x/y = -3-8 /-8 + B
= -3-8 = -8(-8)+B
B = -3+B = -3+1
B= -3+1 = -4
Second measure = -8-4 = 4
Therefore, using both measures in bold : the Area = 4 x 5 = 20
Step-by-step explanation: