Answer:
x=14 ; y= √153.
Step-by-step explanation:
1) x=7 / sin30°=14.
2) y=√(x²-7²)=√153.
If h(x) = x - 7 and g(x) = x^2, which expression is equivalent to (gº h)(5)?
(5 – 7)^2
(5)^2 - 7
(5)^2(5 – 7)
(5 – 7)x^2
Answer:
(5-7)^2 because g(x) is the value of h(x) squared
x-7, s = 5
5-7)^2
Step-by-step explanation:
Using the table created in part A, determine how long it will take to complete the calls if Emma and Jackson work together.
Answer:
A
Step-by-step explanation:
Only one that make sense
Need help asap it’s 8th grade math
Answer:
B.
Step-by-step explanation:
x + 3x + 6 = 6 + 4x
Add like terms.4x + 6 = 6 + 4x
Transfer like terms to the same side of the equation.4x - 4x = 6 - 6
When we add and subtract like expressions, the result will be 0 = 0.This means, whatever value we pick in place of x, there will always be a solution therefore, the equation in option B has infinitely many solutions.
Is 0.6 greater or less than 0.625?
Answer:
0.6 is less than 0.625.
Step-by-step explanation:
0.6 can be written as 0.600. (or with an infinite number of 0s)
0.600 is less than 0.625, since 600 is less than 625.
goodluck on your schoolwork/homework!
------------------------------------------------------------
sorry for any bad explanations or incorrect answers.
For an art project, Lisa has decided to decorate the letter block “L” (shown in the diagram) built from two rectangular prisms.
Answer:
2400
Step-by-step explanation:
A scuba diver is swimming 20 feet below the surface of the water. His wife is
swimming 6 feet above him. What is the elevation of his wife, relative to the
surface of the water? *
26 feet
14 feet
- 14 feet
- 26 feet
1. A ball is launched upward at 14 m/s from a platform that is 30 m high.
a. Find the maximum height the ball reaches.
Step-by-step explanation:
Initial velocity ,u= 14 m/s
a =_g
= 9.8 m/s
velocity at highest point,v=30 m/ s
=2as=v sqare _u square
=s= 35.99 m
Fifteen percent of the workers at Nationwide Industries earn
minimum wage. If 24 workers earn minimum wage, how
many total workers are there at Nationwide Industries?
\(\frac{24}{0.15}=\boxed{160}\)
27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 35 college students are randomly selected, find the probability that
a. Exactly 9 of them major in STEM.
b. At most 11 of them major in STEM.
c. At least 11 of them major in STEM
The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.
The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.
The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.
a. Exactly 9 of them major in STEM.
In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:
P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶
where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.
b. At most 11 of them major in STEM.
To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.
The probability of at most 11 students majoring in STEM can be calculated as follows:
P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.
c. At least 11 of them major in STEM.
The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)
Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:
P(X >= 11) = 1 - P(X < 11) = 31.8%
Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.
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what value of b makes the trinomial below a perfect square?
X^2-bx+100
a- 10
b-20
c-5
d-50
Answer:
Step-by-step explanation:
1. Perfect square trinomials, are 2nd degree polynomials, of the form so that , which can be written as perfect squares.
2. For example
3. Thus are perfect square trinomials.
4.
5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.
6. b∈{-20, 20}
Answer:
b) 20
Step-by-step explanation:
x^2-20x+100 If you factor it, it would be (x-10)^2
PLEASE HELP ME RIGHT NOW ASAP
Answer:
Step-by-step explanation:
Let's just say this circle has value x.
x increases by 5%, or 0.05 of x.
x + 0.05x = 1.05x
1.05x now increases by 5% again:
1.05x + 0.05(1.05x) = 1.1025x
The total increase is equal to (1.1025-1)*100 = 10.25%
Hope this helps!
6. Place your work for both Part A and B in the space provided.
Part A: Select the option that best fits the scenario.
Gloria earned $400. She needed $320 for a new Chromebook.
What percent of the amount earned is the amount needed?
Which is the correct expression of this situation? (a or b)
a) 400 is what percent of 320?
b) 320 is what percent of 400?
Part B: Show your work to find the percent.
9514 1404 393
Answer:
A: (b) 320 is what percent of 400
B: 80%
Step-by-step explanation:
Part A:
This is a reading comprehension question. You are told that ...
$320 is the amount needed
$400 is the amount earned
and you are asked to find ...
what percent of the amount earned is the amount needed?
The question can be rephrased as ...
the amount needed is what percent of the amount earned?
Filling in the amounts you are told, the rephrased question becomes ...
$320 is what percent of $400 . . . . . matches choice (b)
__
Part B:
If we let x represent "what percent", then we can write the above question as ...
320 = x · 400
Dividing by 400 gives ...
320/400 = x = 0.80 = 80%
That is, 320 is 80% of 400.
Explain in your own words why a polynomial can’t be a quadratic if a= 0?
If \(a = 0\), then \(y = ax^2+bx+c\) turns into \(y = 0x^2+bx+c\). That \(0x^2\) term goes away because it turns into 0, and adding 0 onto anything does not change the expression.
So \(y = 0x^2+bx+c\) turns into \(y = bx+c\) which is a linear equation (b is the slope, c is the y intercept). It is no longer a quadratic as quadratic equations always graph out a curved parabola.
As an example, you could graph out \(y = 0x^2+3x+4\) and note how it's the exact same as \(y = 3x+4\), both of which are straight lines through the two points (0,4) and (1,7).
Help...plzz giving 25 points
Answer: the integers are closed under addition, multiplication, and subtraction, but NOT division.
Step-by-step explanation:
√38 I’m not sure how to solve these kinds of equations
Answer:
√38
Step-by-step explanation:
√38
step 1: Check which squared numbers can be multiplied by another number to get 38.
Start with these numbers: 4, 9, 16, and 25
Step 2: Testing out the numbers
√25 × __ = 25 can't be divided by 38
√16 × ___ = 16 can't be divided by 38
√9 × ____ = 9 can't be divided by 38
√4 × ____= 4 can't be divided by 38
Step 3: Answer
After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38
I hope this helps!
Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)Need help quick please
Answer:-1/6
Step-by-step explanation:
Draw a line out in the 2nd quadrant.
Your y=\(\sqrt{35}\) hypotenuse=6 use pythagorean theorem to solve for x
6² = 35 + x²
x=1
so
cosΘ = -1/6
89 to the nearest 10
Answer:
it is : 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
anything under 5 goes down
anything above 5 goes up
89 is above 85, so it's gonna be 90
A triangle has base angles of 52.5 degrees each. What is the measurement of the third angle?
Answer:
75 degrees
Step-by-step explanation:
52.5+52.5= 105. 180-105= 75 degrees.
The Answer is 75 degrees
Which of the following is false?
A triangle can be drawn
with only one obtuse angle
and two acute angles.
A triangle can be drawn
with 3 acute angles.
A triangle can be drawn
with only one right angle
and two acute angles.
A triangle can be drawn
with 2 obtuse and one acute
angles.
In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.20.
THIS IS THE COMPLETE QUESTION BELOW;
In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.20.
What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?
A. 0.10
B.0.50
C. 0.66
D. 0.06
Answer:
OPTION D is correct
d)0.06
the probability that a randomly selected team from Littletown goes to the city and state playoffs is \(0.06\)
Step-by-step explanation:
The probability that a baseball team goes to city playoffs is 0.30.
P(baseball team goes to city playoffs)=0.30
The probability that the team goes to state playoffs given that the team goes to the city playoffs is 0.20.
P(team goes to state playoffs given that the team goes to the city playoffs)=0.20
From our knowledge of set, we know that
P(A | B)= P(A ∩ C)/P(C)
where A= city playoffs
B= state playoffs
P(State play off | city play off)=0.20
P(State play off ∩ city play off)/P(city play off,)=0.20
P(State play off ∩ city play off)/0.30 =0.20
P(State play off ∩ city play off)= 0.30 × 0.20
= 0.06
Hence,the probability that a randomly selected team from Littletown goes to the city and state playoffs is 0.06
Solve for the variable in the following equation: |1/3y-7|=|2/5y+5|
Answer:
y = {-180, 2 8/11}
Step-by-step explanation:
I like to solve these using a graphing calculator. I generally start by writing the equation in the form ...
f(y) = 0
This can be done by subtracting the right-side expression from both sides. The solution will be the horizontal intercepts of the graph:
y = -180; y = 2 8/11
__
To solve this analytically, you need to recognize that this resolves into four equations, effectively two identical pairs. Each equation comes with a set of conditions (domain) for which it is applicable. Here is the expanded set of equations:
1/3y -7 = 2/5y +5 . . . both positive: 1/3y -7 ≥ 0 and 2/5y + 5 ≥ 0
7 -1/3y = 2/5y +5 . . . left side negative: 1/3y -7 ≤ 0 and 2/5y +5 ≥ 0
1/3y -7 = -2/5y -5 . . . right side negative: 1/3y -7 ≥ 0 and 2/5y +5 ≤ 0
7 -1/3y = -2/5y -5 . . . both sides negative: 1/3y -7 ≤ 0 and 2/5y +5 ≤ 0
__
The conditions resolve to ...
1/3y -7 ≥ 0
y -21 ≥ 0 . . . . . multiply by 3
y ≥ 21 . . . . . . . add 21
and ...
2/5y +5 ≥ 0
y +25/2 ≥ 0 . . . . multiply by 5/2
y ≥ -25/2 . . . . . subtract 25/2
Now, we are in a position to solve the equations and determine where the solution is applicable.
__
both positive
The domain will be y ≥ 21 and y ≥ -25/2, which is y ≥ 21.
Multiplying the equation by 15 gives ...
5y -105 = 6y +75
y = -180 . . . . . . . . . subtract 5y+75
This solution is not in the allowed domain.
__
left side negative
The domain will be y ≤ 21 and y ≥ -25/2, which is -25/2 ≤ y ≤ 21.
Multiplying the equation by 15 gives ...
105 -5y = 6y +75
30 = 11y . . . . . . . . . add y-75
y = 30/11 . . . . . . the solution is in the allowed domain
__
right side negative
The domain will be y ≥ 21 and y ≤ -25/2. This is the empty set.
__
both sides negative
The domain will be y ≤ 21 and y ≤ -25/2, which is y ≤ -25/2.
Multiplying the equation by 15 gives ...
105 -5y = -6y -75
y = -180 . . . . . . . . . . add 6y-105 . . . . the solution is in the allowed domain
__
Solutions to this equation are ...
y = 30/11 = 2 8/11
y = -180
The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions? Give your answer in. meters( Math in focus singapore math course 1 B)
Answer:
The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.
In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:
C = pi x d = 3.14 x 60 = 188.4 centimeters
When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:
distance = 35 x circumference = 35 x 188.4 = 6584 centimeters
We can convert centimeters to meters by dividing the distance by 100:
distance = 6584 ÷ 100 = 65.84 meters
Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.
Find the Interpret the mean absolute deviation of the data 1/4,5/8,3/8,3/4,1/2
The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.
To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:
Step 1: Find the mean (average) of the data set.
Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5
Step 2: Calculate the difference between each data point and the mean.
Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|
Step 3: Calculate the absolute value of each difference.
Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10
Step 4: Find the average of the absolute differences.
MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20
The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.
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Is this the correct answer?
A2 = 2.2 TR is a tangent to the circle at R in the diagram alongside. TQP is a straight line. RQ = RT, TÔR = x and PÔR = y. 2.2.1 Give, with reasons, THREE other angles equal to x. 2.2.2 If x= 75°, prove that PTRO is NOT a cyclic quadrilateral.
2.2.1 Answer: Three other angles equal to x are:
Angle QRP: Since RQ = RT, triangle RQT is an isosceles triangle and angle QRP is equal to angle TRQ (x) by the Isosceles Triangle Theorem.
Angle QPR: Since TR is a tangent to the circle at R and OR is a radius, angle TRQ (x) is equal to angle QPR by the Alternate Segment Theorem.
Angle QPO: Since TQP is a straight line, angle QPO is supplementary to angle QPR and therefore also equal to x.
2.2.2 Answer: If x = 75°, then angle QRP = 75° and angle QPR = 75°. Since TQP is a straight line, angle QPO = 180° - 75° = 105°. In order for PTRO to be a cyclic quadrilateral, opposite angles must add up to 180°. However, angle TRO + angle TPO = 75° + 105° = 180° ≠ 180°. Therefore, PTRO is not a cyclic quadrilateral.
What percentage of a dollar is: 2 dimes, 3 nickels, and 2 pennies? *
Answer:
37%
Step-by-step explanation:
2 dimes = 20 cents, or 20%
3 nickels = 15 cents, or 15%
2 pennies = 2 cents, or 2%
20+15+2 = 37
Factor
4y(3x+2)-2(3x+2)
Answer:
\(2(3x+2)(2y-1)\)
Step-by-step explanation:
Hope I helped!
Answer:
(4y − 2)(3x + 2)
Step-by-step explanation:
4y(3x + 2) − 2(3x + 2) = (3x + 2)[4y − 2]
What is five times that quantity
Answer:
basically multiplication, (that quantity) times 5
Step-by-step explanation:
A packet of candles and box of matches cost #420. The candles cost 20 times as much as the matches
Answer:
candles = $400
matches = $20
Step-by-step explanation:
Let cost of candles = $c
Let cost of matches = $m
c = 20 m (20 times m)
c + m = 420
20m + m = 420
21 m = 420
m = 20
c = 20 (20) = 400