Answer: 80
Step-by-step explanation:
Triangles equal 180 degree angle. 20 minus 180 is 160. 160 divides by 2 is 80. There are three sides to a triangle.
The measure of one side of a square is (x +4). What is the difference of the area of the square and the
perimeter of the square?
a. 2(x+4)
b. x(x +4)
c. 2x + 4
Answer:
b. x(x +4)
Step-by-step explanation:
The perimeter is 4 times the length of one side, so is ...
P = 4(x +4)
The area is the square of the length of one side, so is ...
A = (x +4)(x +4)
The difference in these values is ...
A - P = (x +4)(x +4) - 4(x +4)
The latter factor can be factored out to give ...
A - P = (x +4 -4)(x +4)
A - P = x(x +4) . . . matches B
Which equation is true for x = –6 and x = 2?
A.2x^2 – 16x + 12 = 0
B.2x^2 + 8x – 24 = 0
C.3x^2 – 4x – 12 = 0
D.3x^2 + 12x + 36 = 0
Answer: [tex]x^{2} +4x - 12 = 0[/tex]
Step-by-step explanation:
To find the quadratic equation when the roots are given , we will use the formula:
[tex]x^{2} -[/tex] sum of roots[tex](x)[/tex] + product of roots = 0
sum of roots = -6 + 2 = -4
product of roots = -6(2) = -12
substituting into the formula, we have
[tex]x^{2} - (-4) +(-12) = 0[/tex]
[tex]x^{2} +4x - 12 = 0[/tex]
The data in the table shows a sinusoidal relationship between the number of seconds an object has been moving and its velocity v(x), measured in centimeters per second. What is true of the cosine function that models the data in the table?
Drag a value into each box to correctly complete the statements. PLEASE HELP!
Answer:
40
y = 30.85
10.85
Step-by-step explanation:
One complete cycle is between:
x = 4 and x = 44
Period: 44-4 = 40 cm
Range: 41.7 - 20 = 21.7
Amplitude: 21.7/2 = 10.85
Mean line:
y = 20 + 10.85
y = 30.85
The period of the cosine function is 20, its midline equation is y = 32, and its amplitude is [tex]$\boxed{12}$[/tex].
To analyze the given data, we can notice the sinusoidal nature of the relationship between the number of seconds an object has been moving (x) and its velocity (v(x)$. This indicates that a cosine function can model the data.
Now, let's find the period, midline, and amplitude of the cosine function that models this data.
The period of a cosine function is the distance it takes for the function to complete one full cycle. Looking at the data, we can see that the interval between consecutive peaks or troughs (e.g., between 4 and 24, or 24 and 44) is 20 seconds.
Hence, the period of the cosine function is 20.
The midline of a cosine function is the horizontal line that divides the maximum and minimum values of the function. In this case, since the data oscillates around a central value, it suggests that the midline is not at y = 0.
Instead, it's the average of the maximum and minimum values of the data. The maximum value is 44 and the minimum value is 20, so the midline would be the average of these, which is (44 + 20)/2 = 32.
The amplitude of a cosine function is half the difference between the maximum and minimum values.
In this case, the maximum value is 44 and the minimum value is 20, so the amplitude is (44 - 20)/2 = 12.
So, completing the statements:
- The period of the cosine function is 20.
- The equation of the midline of the cosine function is y = 32.
- The amplitude of the cosine function is [tex]$\boxed{12}$[/tex].
the price of a price of machinery is 27,000 the table shows the value of the machinery during the first three years after it was purchased based on the table which equation can be used to determine v the value in thousands of dollars of the machinery t years after it was purchased
Answer:
B v=27(0.8)
Step-by-step explanation:
if you multipy 27,000 by 0.8 you get 21,600 if you do it again you get 17,280 and so on
Answer:
The answer is B
Step-by-step explanation:
I or the question right , just trust me
|6m−2|=0 please help
Answer:
m = 1/3
Step-by-step explanation:
Answer: m = 1/3
Step-by-step explanation: Lets solve the equation |6m - 2| = 0.
|6m - 2| = 0
Find absolute values of 6m - 2
-6m + 2 = 0 (Now solve both sides of the equation.)
-6m + 2 - 2 = 0 - 2
-6m = -2
-6m/-6 = -2/-6
m = 1/3
Simplify the expression:
(2x2 + 3x - 7) + (5x2 - x +9)
Answer:
[tex]7x^2 + 2x + 2[/tex]
Step-by-step explanation:
Step 1: Combine
[tex]2x^2 + 3x - 7 + 5x^2 - x + 9[/tex]
[tex](2x^2 + 5x^2) + (3x - x) + (-7 + 9)[/tex]
[tex]7x^2 + 2x + 2[/tex]
Answer: [tex]7x^2 + 2x + 2[/tex]
On a 2,000 calorie diet, how many calories would come from VEGGIES? *
35% veggies
15% fruit
25% carbs
25% protein
I need help on this math problem the problem is on the attachment.
Answer:
the answer is 41
Step-by-step explanation:
90-49=41
Answer:
b is 49 because 90-41equals 49
If my diameter is 20.6ft how would i get my radius,area,circumference?
Step-by-step explanation:
Radius is half of the diameter
Circumference is 2*pi*radius
Area is pi*radius^2
So r (radius)= 10.3
C (circumference)=64.72
and A (area)=333.29
feel free to ask more questions :)
Step-by-step explanation:
Diameter = 20.6
[tex]radius = \frac{diameter}{ = 2} = \frac{20.6}{2} = 10.3 \: ft \\ \\ c = \pi \:d = 3.14 \times 20.6 = 64.68 \: ft \\ [/tex]
what does y equal in this equation 5(y+2/5)=-13
The value of y in the given equation equals -3.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given equation is,
5(y + 2/5) = -13
We have to find the value of y.
Using the distributive property,
5(y + 2/5) = (5y) + (5 × 2/5)
So,
(5y) + (5 × 2/5) = -13
5y + 2 = -13
Subtracting both side by 2, we get,
5y = -13 - 2
5y = -15
Dividing both sides by 5,
y = -3
Hence the value of y is -3.
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Final answer:
To solve the equation 5(y + 2/5) = -13, you distribute the 5 across the parentheses, subtract 2 from both sides, and then divide by 5 to find that y = -3.
Explanation:
To find the value of y in the equation 5(y + 2/5) = -13, we will follow several steps to isolate y. First, we apply the distributive property of multiplication over addition, which gives us 5y + 2 = -13.
Next, we subtract 2 from both sides of the equation, obtaining 5y = -15. Finally, we divide both sides of the equation by 5 to solve for y, resulting in y = -3.
Which table represents a linear function?
Answer:
What is the tables?
Step-by-step explanation:
Chantelle has signed up for hockey. Her parents set a limit of $400 for costs for the season. It costs $250 to sign up and $5 for each ice-time. What is the maximum number of ice-times that Chantelle can go?
Answer:
30 times
Step-by-step explanation:
$400 minus $250=$150
$150 divided by $5=30 so she can go 30 times
What is the equation of the axis of symmetry of the graph of y-ax? +bx+c?
Answer:
x= -b/2a
Step-by-step explanation:
hello :
y = ax²+bx+c .... (a≠0)
the equation of the axis of symmetry of this graph is : x= -b/2a
a angle measures 72 degrees more than its supplementary what is the measurement of each angle
Answer:
The angles are 126 and 54
K -3=1 what does k equal
Answer:
4
Step-by-step explanation:
1 + 3 = 4
A "pick-6" lottery chooses 6 numbers out of the numbers from 1 to 50. How many different combinations of 6 numbers can be picked?
Select the best answer from the cholces provided.
A. 3.04 * 1064
B. 15,890,700
C. 11,441,304,000
D. 2,118,760
The number of fruit flies in an experimental population after t hours is given by
Q(t) = 20e^0.03t, t > 0. Find the initial number of fruit flies in the population.
A Q(72) = 173
B.Q(0) = 20e
C. Q(0) = 72
D. Q(0) = 20
E. None of them
Answer:
20
Step-by-step explanation:
just substitute 0 for time in your equation, you will get 20.
If XZ = 7x+1 and PZ = 4x-1, what is XP? ( imagine shown below please help)
Answer:
option A. 11 units
Step-by-step explanation:
we know that
The figure show a parallelogram
In a parallelogram the diagonals bisect each other
so
[tex]PZ=\frac{1}{2}XZ[/tex]
[tex]XP=PZ[/tex]
substitute the given values
[tex]4x-1=\frac{1}{2}(7x+1)[/tex]
solve for x
[tex]8x-2=7x+1\\8x-7x=1+2\\x=3[/tex]
Find the value of PZ
[tex]PZ=4x-1[/tex]
substitute the value of x
[tex]PZ=4(3)-1=11\ units[/tex]
therefore
[tex]XP=PZ=11\ units[/tex]
Help please!!!!!!!!!!
Answer:
I think it's 96 not sure though
Complete the sentence using one of the following words:
anaphase, telophase, or cytokinesis.
The phase of the cell cycle in which the cytoplasm splits apart
and the cell separates into two identical daughter cells is called ..?
Answer:
cytokineses
Step-by-step explanation:
The phase of the cell cycle where the cytoplasm splits apart and the cell separates into two identical daughter cells is referred to as cytokinesis.
Explanation:The phase of the cell cycle in which the cytoplasm splits apart and the cell separates into two identical daughter cells is called cytokinesis.
Cytokinesis usually follows the other stages of the cell cycle. To put these stages in context: anaphase is the phase in which the chromosomes separate, followed by telophase, in which the separated chromosomes reach opposite ends of the cell. Cytokinesis then occurs, physically splitting the cell in two and thereby creating two identical daughter cells.
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x - 1 + - 12x + 10 plz help im really confused
-11x+9 is the answer
Answer:
[tex]x - 1 + ( - 12x) + 10 \\ x - 1 - 12x + 10 \\ x - 12x - 1 + 10 \\ = - 11x + 9[/tex]
find the acute angle formed by line 2y=x+1
Answer:
26.57°
Step-by-step explanation:
[tex]2y = x + 1 \\ y = \frac{1}{2} x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m = \frac{1}{2} \\ \because \: \tan \theta = m \\ \therefore \: \tan \theta = \frac{1}{2} = 0.5 \\ \therefore \: \theta = {tan}^{ - 1} (0.5) \\\therefore \: \theta = {tan}^{ - 1} ( \tan \: 26.565051177 \degree) \: \\ \\ \huge \red{ \boxed{\therefore \: \theta = 26.57 \degree}}[/tex]
On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6). Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing? (–6.5, ∞) (–5, ∞) (–∞, –5) (–∞, –6.5)
Answer:
The function is increasing in the interval (-5,∞)
Step-by-step explanation:
we have
[tex]f(x)=\frac{1}{2}x^2+5x+6[/tex]
This is a vertical parabola open upward
The vertex represent a minimum
The vertex is the point (-5,-6.5)
The domain is all real numbers
The range is the interval [-6.5,∞)
so
At the left of the x-coordinate of the vertex the function is decreasing and at the right of the x-coordinate of the vertex the function is increasing
therefore
The function is increasing in the interval (-5,∞) and the function is decreasing in the interval (-∞,-5)
Answer:
(–5, ∞)
Step-by-step explanation:
This is a vertical parabola open upward
The vertex represent a minimum
The vertex is the point (-5,-6.5)
The domain is all real numbers
The range is the interval [-6.5,∞)
so
At the left of the x-coordinate of the vertex the function is decreasing and at the right of the x-coordinate of the vertex the function is increasing
therefore
The function is increasing in the interval (-5,∞) and the function is decreasing in the interval (-∞,-5)
A soccer ball has a volume of 288π in3. What is the radius of the soccer ball?
Answer:
its 6
Step-by-step explanation:
A soccer ball is in the form of a Sphere.
Volume of a Sphere: V = (4/3)πr3
In this case, V = 288π cm3. So:
1) Substitute the known value into the equation: 288π = (4/3)πr3
2) Notice the π value is on either side of the equation. It cancels: 288 = (4/3)r3
3) Simplifying: r3 = 216
4) Solving for r yeilds : r = 6 cm
The radius (r) of a soccer ball with a volume of 288 cm3 is 6 cm
Answer:
its 6
Step-by-step explanation:
four girls have 9.00 how much will each girl get?
Answer:
they get $2.25
Step-by-step explanation:
9 divided by 4 equals
What is the area of the base in the figure below?
O 9 square units
O 97 square units
O 72 square units
O 72square units
Your pump empties the water from a swimming pool in 8 hours. When your friend's pump is used together with your pump, the pool is emptied in 2
hours and 40 minutes. How long (in hours) does it take your friend's pump to empty the pool when working alone?
Answer:
4 Hr.
Step-by-step explanation:
Given,
Your pump alone can empties the water in = 8 hrs
With the help of friend pump it take = 2.67 hr
time taken by friends to empty the whole tank = t = ?
We have,
[tex]\dfrac{1}{8}+\dfrac{1}{t}= \dfrac{1}{2.67}[/tex]
[tex]\dfrac{1}{t}= \dfrac{1}{2.67}-\dfrac{1}{8}[/tex]
[tex]\dfrac{1}{t}=0.2499[/tex]
[tex]t = \dfrac{1}{0.2499}[/tex]
[tex]t = 4\ hrs[/tex]
Time taken to empty the tank by the friends pump alone is equal to 4 Hr.
The time taken should be 4 hours.
Calculation of the time taken:Since Your pump empties the water from a swimming pool in 8 hours. When your friend's pump is used together with your pump, the pool is emptied in 2 hours and 40 minutes.
So, here the time taken be
[tex]1\div 8 + 1\div t = 1\div 2.67\\\\1\div t = 1\div 2.67 - 1\div 8\\\\1\div t = 0.2499[/tex]
t = 4 hours
hence, The time taken should be 4 hours.
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Perform the following operation
and express the answer in
scientific notation.
3.8 x 10^-5 : 8.1 x 10^3
[?]×10'?
Coefficient (green)
exponent (yellow)
Enter
Answer:
Step-by-step explanation:
3.8×10^{-5}:8.1×10^3
[tex]\frac{3.8 \times 10^{-5}}{8.1 \times 10^3} \\\approx4.69 \times 10^{-9}[/tex]
Performing this mathematical operation in scientific notation gives us the answer 4.691 x 10^-8.
Explanation:To solve this mathematical problem, we will first divide the coefficients and then subtract the exponents of the 10s, because we are dividing. The operation 3.8 ÷ 8.1 equals approximately 0.4691. However, we have to express the coefficient in scientific notation, so we adjust it to 4.691. At the same time, we adjust the exponent by adding 1 to it, to account for the fact that we moved the decimal one place. The operation -5 - 3 equals -8. So, the final answer is [tex]4.691 \times 10^-8.[/tex]
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sarah can fit 115 books in 2 bookcases at that rate how many bookcases does she need to hold 360 books?
Answer:115books= 2bookcases
360books=xbookcases
115x=2×360
115x=720
x=720/115
x=6.3 ~ 6bookcases
Step-by-step explanation:
Answer:
7 book cases
Step-by-step explanation:
Add 115 to itself until you reach past 360 (there is a remainder). 115 added 3 times is 345. 115 books=2 bookcases. So you multiply: 2×3=6. Since there is not enough room for all 360 books in 6 bookcases, you need 1 more, which makes it 7 bookcases.
The data set represents the number of minutes Dan spent on his homework each night.
30, 35, 35, 45, 46, 46, 52, 55, 57
Which box plot correctly represents the data?
30 32 34 36 38 40 42 44 46 48 50 52 54 56 58
30
32 34 36
38 40 42 44 46 48 50 52 54 56 58
30 32 34 36
38 40 42 44 46 48 50 52 54 56 58
30 32 34 36
38 40 42 44 46 48 50 52 54 56 58
Answer:
The answer is A. (or the first one)
Step-by-step explanation:
It's not D because the median is 46. It is not B or C either because the IQR is 35 and the OQR is 53.5 and A is the only one that has that. Hope it helped :)
Answer:
a on ed 2020
Step-by-step explanation: