Answer:
AAS
Step-by-step explanation:
Which of the following numbers are composite?
6,14,25,30,52
Answer:
All of them are composite
Step-by-step explanation:
In math, composite numbers can be defined as the whole numbers that have more than two factors. Whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers.
-2x^2 + (y)(x/3); use x= -3, and y = 2
Answer:
-2(x^2+1)
Step-by-step explanation:
1. Divide The Numbers:
-2x^2+2(-3/3)
-2x^2+2(-1)
2. Multiply The Numbers:
-2x^2+2(-1)
-2x^2-2
3. Common Factor:
a. Factor by grouping
-2x^2+2(-3/3)
-2x^2-2
b. Factor by Grouping
-2x^2-2
-2(x^2+1)
-2x^2+(2)(-3/3)
Solution: -2(x^2 + 1)
Given p(x) = x4 – 13x2 – 25x – 12.
A) Use long division to determine the remainder when p(x) is divided by (x2 – 4)? Show all of your work for full credit.
B) Use mathematical methods to prove that your quotient and remainder are correct. Show all of your work for full credit.
Answer:
Below.
Step-by-step explanation:
p(x) = x^4 - 13x^2 – 25x – 12
Long division:
x^2 - 4)x^4 - 13x^2 – 25x – 12( x^2 - 9 <-------- Quotient
x^4 - 4x^2
Subtract: -9x^2 - 25x
-9x^2 + 36
-25x - 36 - 12
So the remainder is -25x - 48 (Answer).
B) If the above are correct then:
(x^2 - 4) * quotient + remainder = the original form of p(x).
(x^2 - 4)(x^2 -9) - 25x - 48 = the original p(x).
p(x) = x^4 - 9x^2 - 4x^2 + 36 - 25x - 48
= x^4 - 13x^2 - 25x -12 = original p(x)
Answer for brainliest
Write down three integers, all less than 25, whose
• range is 10, and
• mean is 13.
The three integers are
Answer: 9 11 19
Step-by-step explanation
9 11 19
Answer:
18 and 8
Step-by-step explanation:
Range= 18-8
Mean=(18+8)/2=13
Karen, Trey, and Dante have a total of 75 in their wallets. Karen has 5 more than Trey. Dante has 2 times what Karen has. How much do they have in their wallets?
Answer: Karen has 20, Trey has 15, Dante has 40
Step-by-step explanation:
Karen=x+5 Trey=x Dante=2x+10
x+x+5+2x+10=75
4x+15=75
4x=60
x=15
( I will give brainliest! ) What is the simplified expression of
4x + 2(3x + 7) - 7x?
Answer:
[tex]3x + 14[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4x + 2(3x + 7) - 7x[/tex]
[tex]4x + (2 * 3x) + (2 * 7) - 7x[/tex]
[tex]4x + 6x + 14 - 7x[/tex]
Step 2: Combine like terms
[tex]4x + 6x + 14 - 7x[/tex]
[tex](4x + 6x - 7x) + 14[/tex]
[tex]3x + 14[/tex]
Answer: [tex]3x + 14[/tex]
plz help me to answer
For the 20ft from doc. Set up triangle, with dr/dt on the hypotenuse = 2. 6 on the y, 20 on the x. Use x^2+ y^2= r^2. Differentiate and solve for dx/dt. 2x(dx/dt) + 2y(dy/dt)=2r(dr/dt); Since y value does not change, your y vector is equal to 0. Giving us 2x(dx/dt)=2r(dr/dt) ; dx/dt=(2r(dr/dt))/2x
Do the same thing for 10ft
No it is not surprising because as the angle between the dock and the boat decreases, more force is being used to pull up on the boat, not pull it inwards. Thus, the boats horizontal velocity will slow down as it beats the dock.
How do I rewrite the improper fractions as a mixture number? Please explain step by step to get marked as brainliest
Answer:
1) Divide the numerator by the denominator.
2) Write down the whole number result.
3) Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.
Step-by-step explanation:
not sure of this will help... but hope it does!
Answer:
Explained below :)
I tried my best to explain, sorry if it doesn't make sense
Step-by-step explanation:
Example problem: 11/4 (Mixed number)
1: 11 divided by 4 = 2 (whole number) with a remainder of 3
( Numerator divided by denominator) (Don't turn the number into a decimal leave the remainder)
2: Take the remainder and put it over the denominator 3/4
3: Whole number beside the remainder over the denominator
Your answer would be 2 3/4
Three polygons have been divided
into triangles by drawing a
segment from one vertex to all nonadjacent vertices. If n is the
number of sides in the polygon, which expression shows the
number of triangles created by each polygon?
A.n
B.(n + 2)
C.(n - 2)
D.3n, 4n, 8n
The relationship between the sides of the polygon and the triangle follows an arithmetic sequence
The expression that represents the number of triangles is (c) n - 2
From the diagrams, we have:
Sides Triangles
5 3
6 4
8 6
The above can be represented as functions as follows:
[tex]f(5) = 3[/tex]
[tex]f(6) = 4[/tex]
[tex]f(8) = 6[/tex]
Express 6 as 8 - 2
[tex]f(8) = 8 - 2[/tex]
Express 8 as n
[tex]f(n) = n - 2[/tex]
So, the expression that represents the number of triangles is (c) n - 2
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A Jeep Grand Cherokee costs about $45,000 right now. What would be the monthly payment if you could get a 60 month loan at 7.5% APR? Can you afford this?
The monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
First, we need to get the amount on the cost of the Jeep at the rate of 7.5% using the formula
Amount = Principal + Interest
Given the following parameters
Interest = PRTR is the rate = 7.5%T is the time in years = 5 yearsGet the interest
Interest = 45,000 * 0.075 * 5 Interest = $16,875Get the amount;
Amount = $45,000 + $16,875Amount = $61,875Calculate the monthly payment:
Monthly payment = Amount/60Monthly payment = $61,875/60Monthly payment = $1,031.25Hence the monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
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Find the set of values of a for which the point P (2a + 3; 3a-2) is in the fourth quarter of the coordinate plane (with this
Not located on the coordinate axes).
Answer:
-3/2 < a < 2/3
Step-by-step explanation:
In the fourth quarter of the coordinate plane, x > 0 and y < 0. This means ...
2a +3 > 0
3a -2 < 0
__
The first inequality has the solution ...
2a > -3 . . . . subtract 3
a > -3/2 . . . . divide by 2
The second inequality has the solution ...
3a -2 < 0
3a < 2 . . . . add 2
a < 2/3 . . . divide by 3
The set of values of 'a' that put P in the fourth quarter is ...
-3/2 < a < 2/3
The simplified equation after clearing the decimals is
-12.2 + 2.8w - 8.8 = 1.05w
Answer:
-21=-4w
w=5.25
but you don’t want decimals
so- you round down
w=5
Step-by-step explanation:
You combine like terms, and then make sure your variable is alone, the only way to get it alone from a ”mixed number” is to divide
you do the same thing to both sides
so divde each side by -4
-21/-4 = 5.25
or with it rounded down since it’s under a five
It’s 5 with the decimals removed
i hope this helps
Given f(x)=9-2x, find f(10).
A.-11
B.11
C.29
D.-29
Answer:
the answer is A
Step-by-step explanation:
9-2(10) 9-20
The given function is a linear function that decreases as the value of the
input x increases.
The value of f(10), given f(x) = 9 - 2·x is option A. -11Reasons:
The given function is f(x) = 9 - 2·x
The output of the function is the value of f(x) for a given input x of the function.
The input value, x is substituted into the function to obtain the output value, f(x).
Given that the input, x = 10
We have;
f(10) = 9 - 2×10 = -11
Therefore, the correct option for f(10) is A. -11
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5x+6 ?? please help 8th grade math work
Answer:
5x + 6 = 0
5x = - 6
x = - 6/5
-6/5 is the answer
It is for my final, please help!
Answer:
The answer will be the third one.
Step-by-step explanation:
Hope it helps
1/8+1/4=? do you know what it could be!?
Answer:0.375
Step-by-step explanation:
1/8 + 1/4 = 3/ 8=0.375
MCQS:
Solve for X: X-3 = 27/64
A. 42
B. 43
C. 34
D. 14
Answer:
219/64
Step-by-step explanation:
x - 3 = 27/64
64(x - 3) = 27
64x - 192 = 27
64x = 27 + 192
64x = 219
x = 219/64
Answer:
[tex]x = 3.4218[/tex]
Step-by-step explanation:
[tex]x -3=\frac{27}{64}[/tex]
[tex]64(x-3)=27[/tex]
[tex]64x-192=27[/tex]
[tex]64x=27+192[/tex]
[tex]64x=219[/tex]
[tex]\frac{64x}{64} =\frac{219}{64}[/tex]
[tex]x = 3.4218[/tex]
Hope this helps you :-)
Let me know if you have any other questions :-)
Find the product of 5 and 539.
Answer:
Step-by-step explanation:
5*539=2695The product of 5 and 539 is 2695
What does it mean to find the product of numbers:Finding the product of numbers simply means multiplying 2 or more numbers.
Therefore, the product of 5 and 539 can be done as follows:
5 × 539Multiplication or product sign is denoted as ×.
Therefore,
5 × 539 = 2695
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At Howard High School, 6% of the students ride bikes to school. If 950 students attend Howard High School, how many students ride a bike to school?
I need the answer like rn...
Answer:
19 students ride a bike to school
Please look for the question in the picture.
Answer:
two negitives equals a positive so C none of the above
Hope This Helps!!!
Answer:
A and B
Step-by-step explanation:
What is the 24th term in the sequence 1, 3, 5, 7
Answer:
47
Step-by-step explanation:
Each new term is the previous term +2.
1st term = 1
5th term = 9
10th term = 19
15th term = 29
20th term = 39
25th term = 49 - 2 = 47 = 24th term
An undersea explorer descends from the surface at a rate of 36 feet per minute.
What is the position of the undersea explorer relative to the surface after descending for 4 minutes?
Enter your answer in the box.
Answer:
-144 feet from the surface in 4 minutes
Step-by-step explanation:
-36 x 4
With the same rate, the position of the undersea after 4 minutes will be -144.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
Rate of descends = 36 feet per minute
After 4 minutes,
36 x 4 = 144
Since it is descending so it can be said to be -144.
Hence "After 4 minutes at the same rate, the position of the undersea will be -144".
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LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
[tex]V(1,2) \to V \ ' \ (0.5,1)\\\\U(0,2) \to U \ ' \ (0,1)\\\\T(-1,0) \to T \ ' \ (-0.5, 0)\\\\W(1,-2) \to W \ ' \ (0.5,-1)\\\\[/tex]
===========================================================
Explanation:
Multiply each coordinate by 0.5, which is the same as the fraction 1/2.
This causes the preimage to shrink to a smaller image.
The rule I'm using is [tex](x,y) \to (kx,ky)[/tex] where the scale factor is k = 0.5
Pleaseee HELPPPPPP HELPPPPP PLEASE
Answer:
14.6
Step-by-step explanation:
the given angle 6.2 is cleared to be wrong
so we will erase the point of decimal and times sin62 with hypotenous 16.5 that will give us 14.6 length unit as 2 triangles are symmetric as the line cut them to 2 equal triangles
John finished his English assignment in 1/3 hours. Then he completed his chemistry assignment in 2/5 hours. What was the total amount of time John spent doing these two assignments?
these two assignments?
Answer: 11/15 hours
Step-by-step explanation:
Find LCD (lowest common denominator)
1/3=5/15
2/5=6/15
6/15+5/15=11/15 hours or 44 minutes
anyone who solves this problem for me .... I really need help
a) The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The value of [tex]m'(5)[/tex] is approximately -0.034.
c) The value of [tex]x[/tex] is approximately 0.622.
a) [tex]f(x)[/tex] is a piecewise function formed by two linear functions, whose form is defined by the following definition:
[tex]f(x) = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot x + b[/tex] (1)
Where:
[tex](x_{1}, y_{1})[/tex], [tex](x_{2}, y_{2})[/tex] - Two distinct points of the line.[tex]x[/tex] - Independent variable.[tex]f(x)[/tex] - Dependent variable.[tex]b[/tex] - x-InterceptNow we proceed to determine the linear functions:
Line 1: [tex]x \in [-1, 2)[/tex]
[tex](x_{1}, y_{1}) = (0, 3)[/tex], [tex](x_{2}, y_{2}) = (1, 5)[/tex], [tex]b = 3[/tex]
[tex]f(x) = \frac{5-3}{1-0}\cdot x + 3[/tex]
[tex]f(x) = 2\cdot x + 3[/tex]
Line 2: [tex]x \in [2, 8][/tex]
[tex](x_{1}, y_{1}) = (2, 7)[/tex], [tex](x_{2}, y_{2}) = (8, 3)[/tex]
First, we determine the slope of function:
[tex]m = \frac{3-7}{8-2}[/tex]
[tex]m = -\frac{2}{3}[/tex]
Now we proceed to determine the intercept of the linear function:
[tex]7 = -\frac{2}{3}\cdot 2 + b[/tex]
[tex]b = \frac{25}{3}[/tex]
[tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex]
The first derivative of a linear function is its slope, and the first derivative of a product of functions is defined by:
[tex]k'(x) = f'(x)\cdot g(x) + f(x)\cdot g'(x)[/tex]
If we know that [tex]f(x) = 2\cdot x + 3[/tex], [tex]f'(x) = 2[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 0[/tex], then:
[tex]k'(x) = 2\cdot \sqrt{x^{2}-x+3}+\frac{(2\cdot x +3)\cdot (2\cdot x - 1)}{2\cdot \sqrt{x^{2}-x+3}}[/tex]
[tex]k'(0) = 2\sqrt{3}-\frac{3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{12-3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{9}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{3\sqrt{3}}{2}[/tex]
The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The derivative is found by means of the formulas for the derivative of the product of a function and a constant and the derivative of a division between two functions:
[tex]m'(x) = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{2\cdot [g(x)]^{2}}[/tex] (2)
If we know that [tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex], [tex]f'(x) = -\frac{2}{3}[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 5[/tex], then:
[tex]f(5) = 5[/tex]
[tex]f'(5) = -\frac{2}{3}[/tex]
[tex]g(5) = \sqrt{23}[/tex]
[tex]g'(5) = \frac{9\sqrt{23}}{46}[/tex]
[tex]m'(5) = \frac{\left(-\frac{2}{3} \right)\cdot \sqrt{23}-\left(-\frac{2}{3} \right)\left(\frac{9\sqrt{23}}{46} \right)}{3\cdot 25}[/tex]
[tex]m'(5) \approx -0.034[/tex]
The value of [tex]m'(5)[/tex] is approximately -0.034.
c) In this case we must find a value of [tex]x[/tex], so that [tex]h'(x) = 2[/tex]. Hence, we have the following formula below:
[tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]
A quick approach is using a graphing tool a locate a point so that [tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]. According to this, the value of [tex]x[/tex] is approximately 0.622.
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The Hickory Stick has a selection of 3 meats and 6 vegetables. How many different selections of one meat and one vegetable are possible
The different selections of one meat and one vegetable are possible are 18 selections.
Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select one meat out of 3 is ³C₁ = 3.
Also, the number of ways we can select one vegetable out of 6 is ⁶C₁ = 6.
So, the total number of selections of one meat and one vegetable is ³C₁ × ⁶C₁ = 3 × 6
= 18 selections
So, the different selections of one meat and one vegetable are possible are 18 selections.
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A scientist crosses two pea plants that are
heterozygous for plant height and flower
color. Tall is dominant over short and purple is
dominant over white. The plant height and
Flower color genes are unlinked. Complete the
information below and the Punnett square.
Then answer the questions below.
The Punnett square is a diagram divided into squares that is used to determine genotypes.
The question is incomplete, as the required details such as the characters that represent the plant heights and the flower colors are not given.
So, I will give a general explanation instead.
Assume the plants that are crossed are represented as: TT and Tt.
The possible genotypes would be TT, TT,Tt and Tt
In the above list of genotypes, genotype T is dominant over genotype t
See attachment for an illustration of the Punnett square.
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Bethany posts a lit selfie yo, and she receives 49 likes in the first 7 minutes. At this rate, how many likes will she have in 10 minutes?
Answer:
70 likes
Step-by-step explanation:
49 likes / 7 minutes = 7 likes / minute
10 minutes * 7 likes / minute = 70 likes / 10 minutes