Answer:
The first answer, or a.....
William is building a gazebo and wants to brace each Corner replacing a 12 inch wooden bracket diagonally as shown how far below the corner should he fastened the bracket if he wants to distances from the corner to eat to the end of the bracket to be equal
Let the distance from the corner is x.
The length of diagonal -12 inch.
the fiure show a right angle triangle
Apply the pythagoras theorem to find the values of x
Pytahgoras theorem state as the square of the hypotenuse is equal to sum of the squre of perpendicular and the square of base of right angle triangle,
\(\text{Hypotenuse}^2=Perpendicular^2+base^2\)In the given figure we have,
Hypotenuse=12
Base=x
Perpendicular=x
Substutute the value in the pythagoras theorem
\(\begin{gathered} 12^2=x^2+x^2 \\ 144=2x^2 \\ x^2=72 \\ x=8.485 \\ x=8.5\text{inch} \end{gathered}\)The corner will be at a distance of 8.5 inch.
I can evaluate functions in function notation (12B)
I can graph linear functions on a coordinate plane (30)
17. h(x)= 72 x-25, find h(-6)
18. g(x) = 5x2 + 4x - 3, find g(2)
(17)
Answer:
\(h(-6) = -457\)
Step-by-step explanation:
Given the function
\(h(x)= 72 x-25\)
Put \(h = -6\) to in the function
\(h(x)= 72 x-25\)
\(h\left(-6\right)=\:72\left(-6\right)-25\)
\(=-432-25\)
\(=-457\)
Therefore,
\(h(-6) = -457\)
(18)
Answer:
\(g(2)=25\)
Step-by-step explanation:
Given the function
\(g\left(x\right)\:=\:5x^2\:+\:4x\:-\:3\)
\(g\left(2\right)\:=\:5\left(2\right)^2\:+\:4\left(2\right)\:-\:3\)
\(= 20 + 8 - 3\)
\(= 25\)
Therefore,
\(g(2)=25\)
Given f(x) = –3x – 4, find f(–5).
Answer:
3x
Step-by-step explanation:
because if f is -5, -5=-3x-4, -5+4, -1=-3 divide and get 3=x
What is the sample space of a single spin of the spinner
Answer:
The sample space of an experiment is the set of all possible outcomes of that experiment.
Answer:
Y, P, R, B (or something like that)
Step-by-step explanation:
just read what the other answer said
The ratio of red marbles to blue marbles in a bag is 3:4 . If there are 42 marbles in the bag. how many marbles are red?
Answer:
18 marbles
Step-by-step explanation:
Step 1
Express the fraction of each type of marble as a function of the total number of marbles as shown;
Let;
total marbles=x
red marbles=3/(3+4)=3/7x
blue marbles=4/7 x
But x=42 marbles
The total number of marbles for each type can be expressed as;
total number of red marbles=fraction of red marbles×total number of marbles
where;
fraction of red marbles=3/7 x
total number of marbles=42
replacing;
total number of red marbles=(3/7)×42=18 marbles
total number of blue marbles=fraction of blue marbles×total number of marbles
where;
fraction of blue marbles=4/7 x
total number of marbles=42
replacing;
total number of blue marbles=(4/7)×42=24 marbles
If the allele frequency of the dominant allele is 0.4, what value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1?
The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
According to the statement
we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.
So, For this purpose, we know that the
The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.
And here
allele frequency is the 0.4 and represent the value of P.
So, The value of p is 0.4 and the
Then p^2 = (0.4)^2
so, the value becomes
p^2 = (0.4)^2
p^2 = 0.16.
So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
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the radius of cylinder a is three time the radius of cone b, but the height of cylinder a is half the height of cone b. find the ratio of the volume of a to the volume of b
Answer:
Ratio of the volume of cylinder a to the volume of cone b is \(27 \colon 2\) .
Step-by-step explanation:
Let radius of cone b be r. Then the radius of cylinder a is \(3r\).
Let height of the cone b be \(h\), then the height of the cylinder a is \(\frac{h}{2}\).
Volume of a cone b = \(\frac{1}{3} \times \pi \times r^2 \times h\)
Volume of cylinder a = \(\pi \times R^2 \times H\)
\(= \times \pi \times (3r)^2 \times \frac{h}{2}\)
\(= \pi \times 9r^2 \times \frac{h}{2}\)
Ratio of the volume of cylinder a to the volume of cone b
\(= \frac{volume \ of \ cylinder \ a}{volume \ of \ cone \ b}\)
\(= \frac{\pi \times 9r^2 \times \frac{h}{2}}{\frac{1}{3} \times \pi \times r^2 \times h}\)
\(= \frac{27}{2}\)
\(\therefore\) Ratio of the volume of cylinder a to the volume of cone b is \(27 \colon 2\) .
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Cy Young pitched in 815 games over 22 years. He won 511 games. About how many games did he win per year?
Answer:
okok
Step-by-step explanation:
over 22 years, there were 815 games in TOTAL, 511 of those games were won. in this case, you do not need to account for the 815, it will NOT be included in your expression. you only care about the 511 winning games over 22 years
first, divide 511 / 22. this will equal x.
THERE WILL BE NO DECIMALS, WHOLE NUMBER ONLY. you cannot win ".5" or ".8" of a game.
x will be your answer.
IM STUCK i need help WITH THIS PROBLEM THE NUMBER 4 will give brainly
Answer:
Ok say your social life is on that scale, Now the moment you walk into school your life is A which means it hasn't made it anywhere..now as you progress your love life goes up and becomes a B soon you grow popular and hit C as your results sky rocket..suddenly something you do affects that maybe a bad grade or something you did to someone then your social life drops dramatically to a D and soon crumbling to an E.
~ Zachary Mark brainliest if you want Thanks <3 Have a nice day!!!
Answer:
The depth of water in a stream bed over time
Step-by-step explanation:
I’m practically begging someone please help me!!
Lana and raul are participating in a walk-a-thon at the local community college track to raise money. lana can walk around the track in 4 minutes. raul can walk around the track in 6 minutes. lana and raul started walking at the same time. question: how many minutes will it be until they complete a lap at the same time?
The minutes will it be until they complete a lap at the same time is 2.4 minutes
How to calculate the time?From the information, Lana can walk around the track in 4 minutes and Raul can walk around the track in 6 minutes.
Lana will cover a distance of 1/4 while Raul will be represented as 1/6.
This will be illustrated as:
1/4 + 1/6 = 1
3/12 + 2/12 = 1
5x/12 = 1
Cross multiply
5x = 12
x = 12/5
x = 2.4 minutes
Note that x = number of minutes
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A city currently has 128 streetlights. As part of a urban renewal program, the city council has decided to install 2 additional streetlights at the end of each week for the next 52 weeks.
Answer:
232
Step-by-step explanation:
52x2=104
128+104=232
Does anyone loves math TvT
The solution to all parts are given below:
What is experiment?The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
1. The experiment is to spin the wheel and get the number and related to that number reward will be there.
2. The outcomes will be,
{1, 2, 3, 4, 5, 6, 7, 8}
3. Sample space
{1, 2, 3, 4, 5, 6, 7, 8}
4. Event of red with even number
= 2 , 6
5. Event of red with odd number
= 3,7
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TIME SERIES models attempt to predict the future by using historical data.
a. true b. false
The given statement is true because Time series models are statistical models that analyze and predict future values based on patterns and trends observed in historical data. Option A
The underlying assumption of time series analysis is that the future values of a variable can be predicted based on its past behavior. By examining the historical data, time series models identify patterns, trends, and seasonal variations that can help forecast future values.
There are various types of time series models, including autoregressive integrated moving average (ARIMA), exponential smoothing models, and seasonal decomposition of time series (STL). These models use different mathematical techniques to capture and analyze different aspects of the time series data.
The main goal of time series analysis is to make accurate predictions or forecasts of future values. By leveraging the patterns and trends observed in the historical data, these models provide insights into potential future outcomes.
Time series models are widely used in fields such as economics, finance, meteorology, stock market analysis, and demand forecasting, among others.
Option A
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4x + 6y - z=-18
3x +2y - 4z = -24
- 5x + 3y + 2z = 15
find x y and z
Answer:
x = -2, y = -1, z = 4
Step-by-step explanation:
4x + 6y - z=-18
z = 18 + 4 x + 6 y
3x +2y - 4z = -24
z = 6 + (3x)/ 4 + y /2
- 5x + 3y + 2z = 15
z = 15/2 + (5x)/2 - (3y)/2
18 + 4 x + 6 y = 6 + (3x)/ 4 + y /2 = 15/2 + (5x)/2 - (3y)/2
x = -22y/13 - 48/13
4(-22y/13 - 48/13) + 6y - (15/2 + (5(-22y/13 - 48/13))/2 - (3y)/2) = -18
Compute the output value of the variables x and y with respect to the input values of x, y, and z coefficients.
Jeremy was 45 inches tall when he started kindergarten. He grew an average of 2.5
inches every year. Jeremy is now 62.5 inches tall.
Which equation can be used to find how many years ago Jeremy started kindergarten,
and how many years ago was it?
Answer:
subtraction
Step-by-step explanation:
its subtraction because if you do 62.5-2.5 it = 60 and then 60-2.5=57.5 57.5-2.5=55 55-2.5=52.5 52.5-2.5=50 50-2.5= 47.5 47.5-2.5 = 45 s so it was 7 or 8 years ago idk count them see how many times i did it
What is y+11= -7/9 (x-18)?
Answer:
y=2.2
Step-by-step explanation: Hope this helps you out!!
Find the the perimeter of triangle JKL
Answer:
60
Step-by-step explanation:
Tangents to a circle from a common external point are congruent, thus
JA = JB = 6
AL = KC = 11
CK = KB = 13
Thus
perimeter = 2(6) + 2(11) + 2(13) = 12 + 22 + 26 = 60
The perimeter of a triangle JKL is 60 units. Therefore, option D is the correct answer.
What is tangent property of a circle?A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.
Given that,
Given that, JK, KL and LJ are all tangent to O. JA=6, AL=11 and CK=13.
In the figure,
From the external point J, tangents JA=JB
JB=6
From the external point L, tangents AL=LC
LC=11
From the external point K, tangents KB=KC
BK=13
So, JL=JA+LA
JL=6+11=17
LK=LC+CK
= 11+13
= 24
JK=JB+KB
= 6+13
= 19
Now, the perimeter is JL+LK+JK
= 17+24+19
= 60 units
Therefore, option D is the correct answer.
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How do you find the area of a contour?
Compute the geometric mean for the following data on growth factors of an investment for 10 years.
1.10, 0.50, 0.70, 1.21, 1.25, 1.12, 1.16, 1.11, 1.13, 1.22
a. 1.0148
b. 1.1475
c. 1.0221
d. 1.0363
The geometric mean for the above set of data given is: 1.1475 (Option B). See the explanation below.
The geometric mean can be defined as the average rate of return of a set of values obtained by multiplying the terms together.
Geometric mean is best suited for series with serial correlation, which is notably true for investment portfolios.
What is the computation justifying the above answer?The formula for geometric mean is given as:
\(\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}\)
Hence,
The geometric Mean =
1.0147506490423
\(\approx\) 1.1475
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Please help with this math problem!!! Will give brainliest!!! :)
A cylindrical grain silo has just been built. The diameter of the silo is 15 feet and the height is 25 feet. How many cubic feet of grain can the silo hold? Round to 2 decimal places.
Step-by-step explanation:
Use the formula for the volume of a cylinder
volume = pi r^2 h diameter = 15 ft so r, radius = 7.5 feet h = 25 ft
volume = pi * ( 7.5)^2 * 25 = 4417.86 ft^3
The team is 52 yards away from a touchdown. Steve ran the football 26 yards toward the end zone, but on the next play Keith was pushed back 8 yards. How many yards until they get a touchdown
Answer:
34 yards
Step-by-step explanation:
52 - 26 + 8
26 + 8
34
What are the domain and range of the function?
What is the value of b?
can you guys help me
Answer:
A
Step-by-step explanation:
Yes the inequality is solve correctly
solve pls brainliest
Answer:2 3/4 for mixed 11/4 for improper
Step-by-step explanation:
You and your friend are trying to meet up at the park. You are currently 256 m directly west from the centre of the park. Your friend is currently 388 m directly north from the centre of the park. What is the distance between you and your friend?
Answer:
The distance between the two is 465 meters
Step-by-step explanation:
We first need to set up a triangle that shows the relative position and distances of the two friends
Please check attachment for this
To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem
Mathematically;
Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
D^2 = 256^2 + 388^2
D^2 = 216,080
D = √216,080
D = 464.84 which is approximately 465 m
During summer vacation, Tori read, on average, 40 pages per night. Now that she has returned to school, she is averaging 5% fewer. How many pages per night is Tori averaging now?
Answer: 38 pages per night
Step-by-step explanation:
Tori used to read an average of 40 pages per night but now she is going at a rate that is 5% slower.
To find the number of pages she is reading now, first find 5% of 40 pages:
= 5% * 40
= 2
Then subtract this figure from 40:
= 40 - 2
= 38 pages per night
By deducting 5% from the reading quantity, the person is reading at 5% less.
Given parallelogram A B C D below, DE = 31 If EB = x-7, solve for x.
The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.
Given parallelogram A B C D below, DE = 31 If EB = x - 7.
By the definition, then the equation is given as,
EB = DE
x - 7 = 31
Simplify the equation, then we have
x - 7 = 31
x = 31 + 7
x = 38
The value of the variable 'x' is 38.
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Simplify. Please show work.
Answer:
Step-by-step explanation:
2(√x+2/2 - 1)² + 4 (√x+2/2 - 1)
2((√x+2/2)² + 1² - 2(√x+2/2)(1)) + 4√x+2/2 - 4
2(x+2/2 + 1 - 2(√x+2/2)) + 4√x+2/2 - 4
x + 2 + 2 - 4√x+2/2 + 4√x+2/2 - 4
x + 4 - 4
x
Answer:
the answer is x
Step-by-step explanation: