Answer:
p=[tex]x^{2}[/tex]-3x
Step-by-step explanation:
Divide each term by x
Simplify the left side
Cancel the common factor of x
Cancel the common factor
Divide p by 1
Simplify the right side
Simplify each term
Cancel the common factor of x^3 and x
Factor x out of x^3
Cancel the common factors
Raise x to the power of 1
Factor x out of x^1
Cancel the common factor
Rewrite the expression
Divide x^2 by 1
Cancel the common factor of x^2 and x
Factor x out of −3x^2
Cancel the common factors
Raise x to the power of 1
Factor x out of x^1
Cancel the common factor
Rewrite the expression
Divide −3x by 1
p=x^2−3x
Patrick ate 540 apples in 9 hours. at that rate, how many apples could he eat in 4 minutes?
Answer:
He could eat 4 apples in 4 minutes
Step-by-step explanation:
If he eats 1 apple per minute (which I dont know how he does) then in 4 minutes he will have eaten 4 apples.
Customer account “numbers” for a certain company consists of 2 letters followed by 2 single-digit numbers. How many different account numbers are possible if repetition of letters and digits are allowed?
Answer:
67600Step-by-step explanation:
Let the format be:
LLDD- where L stands for letter and D- digitFor each L we have 26 (English alphabet) and for each D we have 10 options.
Number of possible accounts:
26*26*10*10 = 67600PLEASE HELP!!!!! A satellite telescope has a parabolic dish. Satellite signals are collected at the focal point (focus) of the
parabola. The distance from the vertex of the parabolic dish to the focus is 40 feet. The vertex of the dish is
located at a point 50 feet above the ground and 100 feet to the east of a computer that reads and records
data from the telescope. The diameter of the dish is 160 feet.
The dish illustrates operations on a parabola.
The depth of the parabolish dish is 160 feet.
The bowl is said to be a parabola.
So, we have:
[tex]\mathbf{(x -h)^2 = 4p(y - k)}[/tex]
Where:
[tex]\mathbf{Focus: p = 40}[/tex]
[tex]\mathbf{Vertex:(h,k) = (0,0)}[/tex]
From the question, the diameter is 160 feet.
So, the radius (r) is:
[tex]\mathbf{r = \frac{160}{2} = 80}[/tex]
So, the coordinate of the depth of the parabola would be:
[tex]\mathbf{(x,y) = (60 + 100,y)}[/tex]
[tex]\mathbf{(x,y) = (160,y)}[/tex]
Substitute these values in [tex]\mathbf{(x -h)^2 = 4p(y - k)}[/tex]
So, we have:
[tex]\mathbf{(160 - 0)^2 = 4 \times 40 \times (y -0)}[/tex]
[tex]\mathbf{160^2 = 160y}[/tex]
Divide both sides by 160
[tex]\mathbf{160 = y}[/tex]
Rewrite as:
[tex]\mathbf{y = 160 }[/tex]
Hence, the depth of the parabolish dish is 160 feet.
Read more about parabolas at:
https://brainly.com/question/4074088
3r-(r+0.47)=3.13 solve for r
Answer:
r=1.8
Step-by-step explanation:
Answer:
2.66 = r
Step-by-step explanation:
3.13 - 0.47 = 2.66 which would equal r
Evaluate 5 - (4 + 2)^2. Show the steps
Answer:
-31
Step-by-step explanation:
1. Simplify 4+2 to 6
5-6^2
2.Simplify 6^2 to 36
5-36
3.Simplify
-31
Hope this helps :)
5 - (4+2)^2
add what is inside of the parentheses
4 + 2 = 6
then do the exponent, which would be 6 times itself
5 - 6^2
6(6)
then subtract 36 from 5, which gives the answer of -31.
5 - 36 = -31
the answer is -31, hope this helps!
IS THIS CORRECT? CLASS 6 MATHS!!!!!
Answer:
63/5
Step-by-step explanation:
The reciprocal of a fraction is basically just the flipped fraction. In this case, you would just flip the numerator with the denominator, giving you 63/5.
ive been stuck for so long. pls help
Answer:
B
Step-by-step explanation:
Might be C, but I hope it helps
Find the area of a circle with a diameter of 18 inches. Use 3.14 for pi.
Answer:
254.34
Step-by-step explanation:
A=pi*r^2
A=3.14*9^2
A=3.14*81
A=254.34
In a distribution with a mean of 100 and a standard deviation of 15, the probability that a score
will be 115 or higher is _____ Please show all your work.
Using the Zscore principle, the probability of obtaining a score which will be 115 or higher is 0.15866
Given the Parameters :
Mean, μ = 100Standard deviation, σ = 15 Score, X ≥ 115Zscore = (X - μ) ÷ σ
Zscore = (115 - 100) ÷ 15
Zscore = 1
Using a normal distribution probability ;
P(Z ≥ 1) = 1 - P(Z ≤ 1)
P(Z ≥ 1) = 1 - 0.84134
P(Z ≥ 1) = 0.15866
Therefore, the probability is 0.15866
Learn more :https://brainly.com/question/8165716
Please solve this. I need help on it
Answer:
look at the photo............
9514 1404 393
Answer:
∠PTQ = 40°
∠PTR = 140°
Step-by-step explanation:
The two marked angles are "vertical" angles, so are congruent.
∠PTQ = ∠STR
(x +28)° = (2x +16)°
12 = x . . . . . . . . . . . . . . . divide by °, subtract x+16
Then the measure of angle PTQ is ...
∠PTQ = (x +28)° = (12 +28)° = 40°
That and angle PTR form a linear pair, so are supplementary.
∠PTR = 180° -∠PTQ = 180° -40° = 140°
house is between his school and the library, witch are one mile apart on the same street. A mile is 5280 feet. After school Nick walks 3195 feet to his house. How many more feet does he need to walk to get to the library? Explain
Answer:
2085 feet
Step-by-step explanation:
If the library and school are one mile apart and his house is in the middle then after he walks to his house he only has 2085 feet left to walk.
write an equation of the line passing through the point( 3, -1) and parallel to the line y=2/3 x-5
Answer:
[tex]y = \frac{2}{3} x - 2[/tex]
Step-by-step explanation:
find The y-intercept
[tex] - 1 = \frac{2}{3} (3) + b \\ - 1 = 1 + b \\ b = - 2 \: \: \: \: y - intercept[/tex]
The equation of the line
[tex]y = \frac{2}{3} x - 2[/tex]
A water tank is a cube of side 2m the depth of the water in it is 60cm. What is the volume of the water in the tank?
Answer:
8 METERS CUBES I THINK
Step-by-step explanation:
VOLUME IS LENGTH TIMES WIDTH TIMES HEIGHT
2 METERS TIMES 2 METERS TIMES 2 METERS IS 8 METERS
Mako runs 10 miles in 2 hours. If he continues at this rate, how many miles
will he run in 5 hours?
A. 50 miles
B. 10 miles
O C. 25 miles
O D. 30 miles
Answer:
Answer: 25 miles
Step-by-step explanation:
Explanation: He will run 5 hours= 5x5=25
Answer:
25 miles
Step-by-step explanation:
I'll create a set of proportions to figure out the answer (represented by x):
2:10 = 5:x
It looks like our proportion on the left, 2:10, can be simplified by dividing both sides by 2 to get 1:5.
1:5 = 5:x
You can multiply 1 by 5 to get 5, so we should be able to multiply 5 by 5 to get the value of x. 5 times 5 is 25, so the answer to the question is 25 miles.
If you have questions or need clarification on anything, let me know!
NO LINKS!!! Part 1: y = x^3
Shape:
Domain:
Range:
Locater point:
Answer:
Shape: Not sure what to put
Domain: ( -oo, oo )
Range: ( -oo, oo )
Locater point: ( 0, 0 )
Step-by-step explanation:
Shape - You have the shape on the graph
Domain and Range - Both go on forever since there is no hole/interruption
Locater Point: I would say origin because it is the closest thing to a vertex, which is an example of a locater point.
Hopefully this helps!
Brainliest please?
C. Direction : Arrange the events in the menstrual cycle. Write the number that corresponds to
the order of the event in the cycle.
________1. Menstrual flow
________2. Release of the egg
________3. Shedding of the
endometrium
__________4. Thickening of the endometrium
Answer:
4
3
2
1
Step-by-step explanation:
so thickening of the endometrium
then shedding of the endometrium
release of the egg
then menstrual flow
The function y = 5.75 + 2.5(x - 2) can be used to determine cost in dollars to rent a house of x square feet. What is the rate of change of the cost in dollars with respect to the number of square feet?
The rate of change is given by the coefficient of x in the cost function. Hence, the rate of change of cost in the function is 2.5
Given the cost function :
y = 5.75 + 2.5(x - 2)Expanding the function and expressing in slope intercept form:
y = 5.75 + 2.5x - 5
y = 2.5x + 2.75
Therefore, the slope of the function is 2.5 ; which ubsthe rate of change of the cost function.
Learn more :https://brainly.com/question/18112348
needing help with fraction problem
4/11 - 10/8 equals?
having trouble breaking it down to get the answer
Answer:
71/44
Step-by-step explanation:
Here the LCD is the product of the two denominators given: 11*8 = 88.
We rewrite 4/11 as 32/88 and 10/8 as 110/88. Now the denominators are the same.
Combine 32/88 and 110/88. We get the sum 142/88, which reduces to 71/44.
Answer:
-39/44.
Step-by-step explanation:
We need to find the lowest common multiple of 11 and 8.
This is 88.
Now to convert the 2 fractions to denominator 88 we multiply first by
8/8 and the second by 11/11:
4/11 - 10/8
= 32/88 - 110/88
= -78/88
= -39/44
100 Points. Help solve.
Answer:
Step-by-step explanation:
[tex]\frac{8}{x} =cos 60\\\frac{8}{x} =\frac{1}{2} \\x=8 \times2=16\\\frac{y}{x} =sin60\\\frac{y}{16} =\frac{1}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \times\frac{\sqrt{2}}{\sqrt{2}} \\y=\frac{16\sqrt{2}}{2} =8\sqrt{2}[/tex]
Answer:
the second option/x = 4, y = 8√3
Step-by-step explanation:
out of the tree options, the second one makes sense
help me please (I had to write something to ask this question)
Answer:
-5
Step-by-step explanation:
I think it would be -5 because if Celia had -3, that would take away from Janine, so then it would leave the points at 5. But, it says the team had 0 points all together, so wouldn't it be -5?
Hi ppl of brainly. I need some help with my math assignment. explain if u can (if u can't, that's okay ) if you dont know it. please dont answer it. if u have any questions about the question, please drop in a comment!
Answer:
17.156
Step-by-step explanation:
A rational number has has a terminating decimal expansion or a decimal expansion of non-terminating repeating digits. Here, the decimal expansion is terminating, so it is a rational number.
Answer:
C. 17.156
Step-by-step explanation:
A rational number is any number that can be expressed as a fraction. So for example, since [tex]\sqrt{2}[/tex] cant be expressed as a fraction, it isn't rational. A number like 1.25 on the other hand IS rational as it can be expressed as [tex]\frac{5}{4}[/tex] or [tex]\frac{125}{100}[/tex].
Option C can be expressed as [tex]\frac{17156}{1000}[/tex], so it must be rational.
- Note that if a number has a finite amount of digits after the decimal (ie it doesn't go on forever like option B), it can be represented as a fraction and thus is rational.
Use finite approximation to estimate the area under the graph of f(x) = 5^2 and above the graph of f(x) = 0 from X(o) = 0 to x(n )= 14 using b) a lower sum with two rectangles of equal width. in) a lower sum with four rectangles of equal width. in) an upper sum with two rectangles of equal width. iv) an upper sum with four rectangles of equal width.
Finite approximation method of estimating the area under the curve of the
given function makes use of rectangular approximation of the area.
The correct responses are;
i) The estimated area using a lower sum with two rectangles of equal width is 1,715 square units.
ii) The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.
iii) The estimated area using an upper sum with two rectangles of equal width is 8,575 square units.
iv) The estimated area using a upper sum with four rectangles of equal width is 6,431.25 square units.
Reasons:
The given function is f(x) = 5·x²
The given domain is x₀ to x₁₄
i) Estimate using lower sum with two rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]
f(0) = 0
f(7) = 5 × 7² = 245
A = 0 × 7 + 245 × 7 = 1,715
The estimated area using a lower sum with two rectangles of equal width
is 1,715 square units.
ii) Estimate using lower sum with four rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]
f(0) = 0
f(3.5) = 5 × 3.5² = 61.25
f(7) = 5 × 7² = 245
f(10.5) = 5 × 10.5² = 551.25
A = 0 × 3.5 + 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 = 3,001.25
The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.
iii) Estimate using an upper sum with two rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]
f(7) = 5 × 7² = 245
f(14) = 5 × 14² = 980
A = 245 × 7 + 980 × 7 = 8575
The estimated area using an upper sum with two rectangles of equal width
is 8,575 square units.
iv) Estimate using an upper sum with four rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]
f(3.5) = 5 × 3.5² = 61.25
f(7) = 5 × 7² = 245
f(10.5) = 5 × 10.5² = 551.25
f(14) = 5 × 14² = 980
A = 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 + 980 × 3.5 = 6,431.25
The estimated area using a upper sum with four rectangles of equal width
is 6,431.25 square units.
Learn more here:
https://brainly.com/question/2264277
Facts about a linear relationship
Answer:
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b
Step-by-step explanation:
Let f(t)=4-3t^2. Evaluate f(t+1).
Answer:
f=4-3t^2/t+1
Step-by-step explanation:
what is the slope of the line that contains the points (7, -1) and (-2, 2) ?
A - 1/3
B 1/3
C - 3
D - 2
Step-by-step explanation:
m = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
m = [tex]\frac{2-(-1)}{(-2)-7}[/tex]
m = [tex]\frac{3}{-9}[/tex]
m = [tex]-\frac{1}{3}[/tex]
Please give me a brainliest answer
Plz help me
Determine whether the following sets form subspaces of R^3:
(a) {(x1,x2,x3)^T |x1+x3=1}
(b) {(x1,x2,x3)^T |x1=x2=x3}
Answer:
a.
Step-by-step explanation:
hope it's helpful
brainliest me pls
Sandeep is making fruit dip for a party. His recipe calls for 1/2 of a teaspoon of cinnamon and 3/4 of a cup of yogurt. Using this ratio, how much cinnamon does Sandeep need if he uses 3 cups of yogurt?
Answer:
That sounds delicious
Step-by-step explanation:
0.5:0.75 = x:3
2 teaspoons of cinnamon needed
Graph the line with slope 2/3 passing through the point (-3,-3)
Step-by-step explanation:
y=mx+b
y=(2/3)x+b
-3=(2/3)(-3)+b
-3=-2+b
-1=b
y=(2/3)x-1 . y-intercept at (0,-1)
0=(2/3)x-1
1=(2/3)x
3=2x
3/2=x . x-intercept at (1.5,0)
Convert the units of measure
Answer:
22.5Step-by-step explanation:
24 hr in a day
so
540 : 24 = 22.5 or 22 1/2
solve pls brainliest
Hey there!
39 = - u / 6
MULTIPLY 6 to BOTH SIDES
39(9) = (-u / 6)(6)
CANCEL out: the RIGHT side
KEEP: the LEFT side because it helps solve for the u-value
NEW EQUATION: -u = 234
DIVIDE -1 to BOTH SIDES
-1u / -1 = 234 / -1
CANCEL out: -1 / -1 because it gives you 1
KEEP: 234 / -1 because it gives you the result of the u-value
NEW EQUATION: u = 234 / -1
SIMPLIFY IT!
u = -234
Therefore, your answer is: [u = -234]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
-234
[tex]u = ( - 6) \times 39 = - 234[/tex]