Answers
The given triangle is isosceles, so the two remaining angles in the triangle both have measure xº. The interior angles of any triangle sum to 180º, so that
58º + xº + xº = 180º
58 + 2x = 180
2x = 122
x = 61
Angles y and z are supplementary to angle x, so that
xº + yº = 180º
and
xº + zº = 180º
and consequently, y = z. In particular, we get
y = 180 - 61
y = 119
and so
z = 119
Related Questions
9. A baseball player hits a baseball into the air
with an initial velocity of 100 feet per second.
The equation h = -16t² + 100t+ 3 gives the
height of the ball after t seconds.
At what time will the baseball reach its
maximum height?
Answers
Answer:
3.125 seconds.
Step-by-step explanation:
The equation h = -16t² + 100t+ 3 gives the height of the ball after t seconds.
The maximum height is reached when the velocity is zero.
The velocity is given by v = 100t - 32t².
Setting v = 0,
we get
100t - 32t² = 0.
Factoring out t,
we get
t(100 - 32t) = 0.
Solving for t,
we get
t = 0 or t = 100/32 = 3.125 seconds.
Therefore, the baseball will reach its maximum height after 3.125 seconds.
Please help me plz27277
Answers
Answer:
The last one, d = 13/2
Step-by-step explanation:
First distribute.
Then add 14 on both sides
then subtract 2d on both sides
then divide 2 from both
then you get d= 13/2
It stays improper because thats what you do when solving these equations.
Please mark brainliest <3 !
Steven has $14.26 and buys a leash. How much money does Steven have left?
explanation PLS
Answers
Answer:
x
Explanation:
Let cost of leash = y
14.26 - y = x
Hope this helps and have a great day :)
And please mark me brainliest if you can :)
factor the following expressions by grouping
x6 -4x5 + 6x4 - 24x3
Answers
Answer:
x^3(x−4)(x^2+6)
Step-by-step explanation:
If this helps may i plz have brianliest :)
The ratios of the tomatoes to red apples is 2:5. If there are 20 tomatoes how many red apples are there
Answers
Answer: 50 red apples
Step-by-step explanation:
First divide 20 by 2 to know what you will multiply 5 by, so 20 divided by 2 equals 10. Now you multiply 5 by 10 to know how many red apples there are. 5 multiplied by 10 equals 50. So there are 20 tomatoes and 50 red apples.
Answer:
50.
Step-by-step explanation:
10 x 2 = 20 tomatoes
10 x 5 = 50 apples
So the answer to this problem would be 50 apples.
Hope this helps! <3
Please help I don’t know what to do explanation would help thank you
Answers
Answer:
5.62 I used a calculator to find the answer
Find the range of the function for each domain. f(x)=2x+3;{-2,-1,0,1,2}
Answers
Answer: (-infinity,infinity)
Step-by-step explanation:
What is the coefficient of determination for this data set?
Years after 2000 −20 −12 −9 −4 0 6 8 9 12
Federal minimum wage ($) 3.10 3.35 3.80 4.25 5.15 5.15 5.85 6.55 7.25
Data form U.S. Department of Labor 2012
0.02
0.91
0.95
5.1
What is the equation of the least squares regression line?
Table of variable x and variable y
y=16.9x+0.26
y=0.26x+16.9
y=0.92x+16.9
y=0.26x−16.9
Answers
Answer:
Step-by-step explanation:
1. A 95% confidence interval for a population mean, µ, is given as (18.985, 21.015). This confidence interval is based on a simple random sample of 36 observations. Calculate the sample mean and standard deviation. Assume that all conditions necessary for inference are satisfied. Use the t-distribution in any calculations.
2. A 90% confidence interval for a population mean is (65, 77). The population distribution is approximately normal and the population standard deviation is unknown. This confidence interval is based on a simple random sample of 25 observations. Calculate the sample mean, the margin of error, and the sample standard deviation.
Answers
1. The sample mean is 20 and the sample standard deviation is 0.254. 2. The sample mean is 71, the margin of error is 3.520, and the sample standard deviation is 2.056.
1. The sample mean ([tex]\bar x[/tex]) can be calculated as the midpoint of the confidence interval:
[tex]\bar x[/tex] = (18.985 + 21.015) / 2 = 20
The standard deviation (s) can be estimated using the formula for the margin of error:
Margin of error = (Upper limit - Lower limit) / (2 * t)
Since the confidence interval is based on a t-distribution, we need the critical value of t for a 95% confidence level with 35 degrees of freedom (36 - 1):
t = 2.030
Substituting the values into the formula:
Margin of error = (21.015 - 18.985) / (2 * 2.030) = 0.515
The standard deviation can be estimated by dividing the margin of error by the t-value:
s = Margin of error / t = 0.515 / 2.030 = 0.254
Therefore, the sample mean is 20 and the sample standard deviation is 0.254.
2. The sample mean ([tex]\bar x[/tex]) can be calculated as the midpoint of the confidence interval:
[tex]\bar x[/tex] = (65 + 77) / 2 = 71
To calculate the margin of error, we need to find the critical value of t for a 90% confidence level with 24 degrees of freedom (25 - 1):
t = 1.711
The margin of error can be calculated using the formula:
Margin of error = (Upper limit - Lower limit) / (2 * t) = (77 - 65) / (2 * 1.711) = 3.520
The sample standard deviation (s) can be estimated by dividing the margin of error by the critical value of t:
s = Margin of error / t = 3.520 / 1.711 = 2.056
Therefore, the sample mean is 71, the margin of error is 3.520, and the sample standard deviation is 2.056.
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What is the length of SV?
Answers
Answer:
31
Step-by-step explanation:
ST + TU+ UV = SV
13+6+ 2x-18 = 4x-29
Combine like terms
2x+1 = 4x-29
Subtract 2x from each side
2x+1-2x = 4x-29-2x
1 = 2x-29
Add 29 from each side
1+29 = 2x-29+29
30 =2x
Divide each side by 2
30/2 = 2x/2
15 =x
We want to find the length of SV
SV = 4x-29
= 4*15-29
= 60-29
= 31
The graph of the function f(x) is shown below.
On a coordinate plane, a curved line with a minimum value of (0.6, 2.5) and a maximum value of (negative 1.2, 18.3), crosses the x-axis at (negative 1.8, 0) and crosses the y-axis at (0, 5).
What is x when f(x)=0?
-1.8
-1.2
0
5
Answers
Answer:
its A) -1.8
Step-by-step explanation:
i just did this on edge 2020
Which graph does NOT represent y as a function of x?
Answers
since it doesn’t pass the vertical line test, which proves if a graph is a function.
A circular pie with a diameter of 18 inches is cut into 12 equal slices. What is the approximate area of one slice?
Answers
Answer:
The approximate area of one slice is 21.21 in².
Step-by-step explanation:
Area = πr²
d = 18 in
r = 18 in/2
r = 9 inches
Solve for the area of the pie
A = π(9in)²
A = 81π in²
OR
A = 254.47 in²
Since the pie is cut into 12 slices, we will divide the area by 12
A = 81π in²/12
A = 6.75π in² ---in terms of pi
OR
A = 254.47 in²
A = 21.21 in²
Evaluate f(x)=e2x−1+2 when x=3. Give an approximate answer rounded to three decimal places.
Answers
Answer:
f(3) ≈ 17.310
Step-by-step explanation:
e = 2.71828
Step 1: Define
f(x) = e2x - 1 + 2
x = 3
Step 2: Substitute and evaluate
f(3) = e2(3) - 1 + 2
f(3) = 6e + 1
f(3) = 16.3097 + 1
f(3) = 17.3097
f(3) ≈ 17.310
Can someone help me answer this answer and explanation plz I’ll give your brainlist and points
Answers
Answer:
1A. C B E D A F
B. H G J K I L
Step-by-step explanation:
Last month, Ebony had 72 dollars in a checking account. The current balance is 126 dollars. What is the percent change in the account balance from last month to this month?
Answers
Answer:
43%
Step-by-step explanation:
Last month, 72.
This month, 126.
Last month, ebony had 72/126 in her account to what she has this month. 72/126 as a percentage.
Ratio:
72:126
X100
7,200:12,600
÷126
57.142:100
Ebony had approximately 57% of her cash in her account last month, compared to this month.
Which represents the inverse of the function f(x)=4x?
•h(x)=x+4
•h(x)=x-4
•h(x)=3/4x
•h(x)=1/4x
Answers
Solve y=-3x² + 4.5x – 20
Use the Quadratic formula
Answers
Answer:
[tex]x=0.75 \pm 2.47067i[/tex]
Step-by-step explanation:
Quadratic Formula: [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]
√-1 is imaginary number i
Step 1: Define
y = -3x² + 4.5x - 20
a = -3
b = 4.5
c = -20
Step 2: Substitute and Evaluate
[tex]x=\frac{-4.5 \pm \sqrt{4.5^2-4(-3)(-20)} }{2(-3)}[/tex]
[tex]x=\frac{-4.5 \pm \sqrt{20.25-240} }{-6}[/tex]
[tex]x=\frac{-4.5 \pm \sqrt{-219.75} }{-6}[/tex]
[tex]x=\frac{-4.5 \pm \sqrt{219.75}(\sqrt{-1} ) }{-6}[/tex]
[tex]x=\frac{-4.5 \pm i\sqrt{219.75} }{-6}[/tex]
[tex]x=\frac{4.5 \pm i14.824 }{6}[/tex]
[tex]x=0.75 \pm 2.47067i[/tex]
find two numebrs if their sum is -7 and their difference is 14
Answers
Answer: First number = 3.5 , Second number = - 10.5
Step-by-step explanation:
Let two numbers be a and b
According to the question -
Sum = - 7 ...... ( 1 )
Difference = 14 ...... ( 2 )
so :- a + b = - 7 and a - b = 14
Now add both equations
( a + b ) + ( a - b ) = - 7 + 14
2a = 7
a = 7 / 2
a = 3.5
Now put value of a in equation ( 1 ) .........
a + b = - 7
3.5 + b = - 7
b = - 7 - 3.5
b = - 10.5
so first number = 3.5
second number = - 10.5
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Part D
? Question
Select all the expressions that result in a product that is a rational number.
Answers
The expressions that result in a rational number are given as follows:
4/3 x 12/3.32/4 x 15/4.What are rational and irrational numbers?Rational numbers are defined as numbers that can be represented by a ratio of two integers, which is in fact a fraction, and examples are numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating. Examples are integers, fractions and mixed numbers.Irrational numbers are defined as numbers that cannot be represented by a ratio of two integers, meaning that they cannot be represented by fractions. They are non-terminating and non-repeating decimals, such as non-exact square roots.The square roots of 3 and of 11 are not exact, hence the expressions with these terms are not rational, and the rational numbers are given as follows:
4/3 x 12/3.32/4 x 15/4.More can be learned about rational and irrational numbers at brainly.com/question/5186493
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a survey of 80 high school students was given to determine how many people were in favor of forming a new rugby team. the school will form the team if at least 30% of the students at the school want the team to be formed. out of the 80 surveyed, 12 said they wanted the team to be formed. to test the significance of the survey, a simulation was done assuming 30% of the students wanted the team, each with a sample size of 80, repeated 100 times. what conclusion can be drawn using the simulation results?
Answers
The conclusion that can be drawn using the simulation results depends on comparing the actual proportion to the distribution of proportions obtained from the simulation and assessing the statistical significance of the survey result.
To draw a conclusion using the simulation results, we need to compare the proportion of students in favor of forming a new rugby team in the actual survey to the results of the simulation assuming 30% of the students want the team.In the actual survey, out of 80 students, 12 said they wanted the team to be formed. This corresponds to a proportion of 12/80 = 0.15 or 15%.In the simulation, assuming 30% of the students want the team, repeated 100 times with a sample size of 80, we can compare the distribution of proportions obtained from the simulations to the actual proportion.If the actual proportion of 15% falls within the range of proportions obtained from the simulation, it suggests that the result of the survey is not statistically significant. If the actual proportion is significantly lower than the range of proportions obtained from the simulation, it indicates that the result of the survey is statistically significant and that forming a new rugby team may not be supported by the majority of the students.The conclusion that can be drawn using the simulation results depends on comparing the actual proportion to the distribution of proportions obtained from the simulation and assessing the statistical significance of the survey result.For more such questions on simulation
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When you have a fraction as your answer, You must do what before being finished
Answers
Answer:
Simplify
Step-by-step explanation:
I'm not sure what the question is referring to but if it's an improper fraction you Simplify.
Let's take 9/3 you divide 9 and 3 and the fraction will be a whole number.
but if it's like 14/3 were counting in 3's like 3, 6, 9, 12, 15... 14 does not line up.
How many 3's fit into 14?
4 threes. So the fraction will now be 4 2/3.
To get the improper fraction again multiply the whole number and the bottom number of the fraction.
4 x 3 = 12.
Add the remaining number which is 2.
12 + 2 = 14.
Sorry if this isn't what you meant.
In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
2
5
20
80
Answers
Answer:
That other guy was a mean, the answer is 20
Step-by-step explanation:
Answer:
C
Question 1 of 6
Read the problem below and find the solution. Draw a diagram on your own
paper to help solve it.
If your teacher tells you to do questions 28 through 41 in your math book for
homework, how many questions is that?
(Do not include units in your answer.)
Answers
There are 14 questions in total that need to be done for homework.
If the teacher assigns questions 28 through 41 in the math book for homework, we can find the number of questions by subtracting the starting question number from the ending question number and adding 1.
Number of questions = (ending question number) - (starting question number) + 1
In this case, the starting question number is 28 and the ending question number is 41.
Number of questions = 41 - 28 + 1 = 14
Therefore, there are 14 questions in total that need to be done for homework.
for such more question on number
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What is the OUTPUT if the input to the equation y=2x - 7 is x =4?
Answers
Answer:
the output is y=1
Step-by-step explanation:
Output to the equation [tex]y=2x-7[/tex] at [tex]x=4[/tex] is equal to [tex]\boldsymbol{1}[/tex]
Output of the equationConsider the equation [tex]\boldsymbol{y=2x-7}[/tex]
Input to the given equation is [tex]\boldsymbol{x=4}[/tex]
To find the output to the equation, put [tex]x=4[/tex] in the equation [tex]y=2x-7[/tex]
[tex]y=2(4)-7\\y=8-7\\y=1[/tex]
Therefore, output to the equation [tex]y=2x-7[/tex] at [tex]x=4[/tex] is equal to [tex]\boldsymbol{1}[/tex]
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3 more than 7 times a number x is 47
Answers
Answer:
x = 44/7
Step-by-step explanation:
7x+3 = 47
Subtract 3 from each side
7x+3-3 = 47-3
7x = 44
Divide by 7
7x/7 = 44/7
x = 44/7
A wholesaler carries 6,600 different items in their store. In a normal week, demand occurs for 4,800 of these items. Of those 4,800 items, 250 are not available for the entire week and another 270 items are available for only part of the week What is the wholesaler's in-stock probability during a normal week? Note: Round your answer as a percentage rounded to 1 decimal place.
Answers
Rounded to 1 decimal place, the wholesaler's in-stock probability during a normal week is approximately 89.2%.
To calculate the wholesaler's in-stock probability during a normal week, we need to consider the number of items that are available for the entire week and divide it by the total demand.
Total demand = 4,800 items
Items not available for the entire week = 250 items
Items available for only part of the week = 270 items
Therefore, the number of items available for the entire week can be calculated as follows:
Items available for the entire week = Total demand - Items not available for the entire week - Items available for only part of the week
= 4,800 - 250 - 270
= 4,280 items
The in-stock probability can be calculated by dividing the number of items available for the entire week by the total demand and then multiplying by 100 to convert it to a percentage:
In-stock probability = (Items available for the entire week / Total demand) * 100
= (4,280 / 4,800) * 100
= 89.1666...
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Directions: Find the coordinate of the midpoint of the segment given its endpoint.
6. A(5,8) and B(-1,-4)
HELP
Answers
Translate the phrase into an algebraic expression.
“The product of c and 6”
Answers
Answer:
c x 6 or 6c
Step-by-step explanation:
Joanna is driving from Orlando, FL to Dallas, TX. The distance between Orlando and Dallas is 1,084 miles. Joanna's average rate of speed is 65 mph. The following function represents how many miles Joanna has left on her trip after t hours, F(t)=1084-65t.
After how many hours of driving will Joanna be 304 miles from Dallas?
_______ hours.
*Hint, the f(t) is given in the word problems as 304 miles. Plug the 304 in place of the f(t) and solve for t using inverse operations.
Answers
Answer:
12 hours
Step-by-step explanation:
We are given the function [ F(t) = 1084 - 65t ]
t represents the time so we are going to solve for f(t).
Substitute and solve
304 = 1084 - 65t
~Subtract 1084 to both sides
-780 = -65t
~Divide -65 to both sides
12 = t
Best of Luck!
