Answer:
x = 12
Step-by-step explanation: You start off with this
3x + 2
Then since AC is 38 you make it
3x+2=38
Then you do -2 getting rid of the 2 and doing 38 - 2 which is 36
you now have:
3x = 36
then you do 3x divided by 3 on both sides
you do 36 divided by 3 then you get
x = 12
50 points look at picture (if u troll i will get u banned)
The measure of ∠MCJ is 130° because ∠MCJ and ∠CMB are alternate interior opposite angles.
According to the question,
We have the following information:
We have a figure where angle MCJ is 130°.
Now, we can extend the two given lines as imaginary lines. After extending the lines, we will find that these lines are parallel and the lines are being cut by another line.
We know that in this case the alternate interior opposite angles are equal and the sum of consecutive alternate interior angles is 180°.
Now, ∠MCJ and ∠CMB are alternate interior opposite angles and thus they are equal.
Hence, the measure of ∠MCJ is 130° because ∠MCJ and ∠CMB are alternate interior opposite angles.
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What are the domain and range of the function?
f(x) = -4√x
The domain is x [tex]\geq[/tex] 0. interval notation: [0,[tex]\infty[/tex])
the range is f(x)≤0, interval notation: (-[tex]\infty[/tex],0 ]
What are the domain and range of a function?
The domain is the set of all x-values that can be used to make the function "work" and produce actual y-values.
A function's range is the variety of conceivable y-values (minimum y-value to maximum y-value)
Find domain:
Set the term under the square root [tex]\geq[/tex]0
So, the domain is x [tex]\geq[/tex] 0. interval notation: [0,[tex]\infty[/tex])
Find range:
The range of a radical function of the form -c√(ax+b) +k is f(x)≤k
So, the range is f(x)≤0
interval notation: (-[tex]\infty[/tex],0 ]
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your sister earns $30 per day selling clothes at the market, but in order to sell at the market, she has to pay $60 to get a license. You earn $20 per day helping rake your neighbors' lawns. How many days will it take for your sister to earn as much as you?
It will take 6 days for the sister to earn as much as the brother.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, the sister earns $30 per day and pays a $60 license fee and the brother earns$20 per day.
The income of the sister in x days is:
30x - 60
The income of the brother in x days is:
20x
The income of the sister and the brother is equal when:
30x - 60 = 20x
30x - 20x = 60
10x = 60
x = 6
Hence, It will take 6 days for the sister to earn as much as the brother.
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3. Tina needs to build a fence. The fence
is 30 feet long and 20 feet wide. She
realizes she needs more so she increases
the length and width by x feet. Create an
expression that represents the perimeter
for the fence.
Nora is going to earn $300 from her summer job. Combined with her savings, Nora will then have $1,500 toward her music school. How much money does Nora have in her savings?
A. 1000
B. 1200
C. 1300
D. 1800
Answer:
1200
Step-by-step explanation:
1,500-300=1200
Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $22, then how many games did Shakira bowl?
Square root five as a decimal 
To get the answer go to desmos
Answer:
2.2360679775 or 2.24
A line passes through the points (–5, –4) and (0, 4). What is its equation in slope-intercept form?
Considering the expression of a line, the equation of the line that passes through the pair of points (-5,-4) and (0,4) is y=8/5x + 4.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:
m= (y₂ - y₁)÷ (x₂ - x₁)
Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, the value of the ordinate to the origin b can be obtained.
Equation in slope-intercept form in this caseBeing (x₁, y₁)= (-5, -4) and (x₂, y₂)= (0,4), the slope m can be calculated as:
m= (4 - (-4))÷ (0 - (-5))
m= (4 + 4)÷ (0 +5)
m= 8÷ 5
m= 8/5
Considering point 2 and the slope m, you obtain:
4= 8/5×0 + b
4= 0 +b
4= b
Finally, the equation of the line is y=8/5x + 4.
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The garden club at Central Middle School is planting a flower bed. A scale drawing of the flower bed is shown. The scale is 1 in. : 2 ft.
Answer:
16 and 12
Step-by-step explanation:
A.1 IN=2FT
8IN =2(8)FT
= 16
B.1 IN=2FT
6IN=2(6)FT
=12 FT
If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
Answer:
(f+g)(x) = x - 7
Step-by-step explanation:
(f+g)(x) tells you to add the functions together. It means
f(x) + g(x)
= -3x - 5 + 4x - 2
combine like terms.
= 4x-3x - 5 - 2
= x - 5 - 2
simplify.
= x - 7
(f+g)(x) means
f(x) + g(x)
= x - 7
i took a sample of the grade point averages for students in my class. for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89. the standard error for the sample was:
The standard error for the sample was 0.13 when "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89."
What is standard error?The standard deviation of a statistic's sampling distribution, or an estimate of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean. By dividing the standard deviation by the square root of the sample size, the standard error is determined. By taking into account the sample-to-sample variability of the sample means, it provides the precision of a sample mean.
Here,
The standard error=standard deviation/√number of samples
=0.65/√25
=0.65/5
=0.13
When "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89," the standard error for the sample was 0.13.
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First, complete the story below so that it can be represented by the equation 5000-50x=4800-30x
Pool A started with 5000 liters of water, and 50 liters per minute are being (Drained out or Pumped back in)
Pool B started with 4800 liters of water, and 30 liters per minute are being (Drained out or Pumped back in)
The amount of water after x minutes is more in which pool? Pool A or Pool B?
Amount of water after x minutes is more in pool B.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Pool A started with 5000 liters of water, and 50 liters per minute are being.
Pool B started with 4800 liters of water, and 30 liters per minute are being.
5000-50x=4800-30x
Add 30x on both sides
5000-50x+30x=4800-30x+30x
5000-20x=4800
5000-4800=20x
200=20x
Divide both sides by 20
20=x
Now substitute x in pool A equation
5000-50x
5000-50(20)=5000-1000
Pool A =4000
Now substitute x in pool B equation
4800-30x
4800-30(20)
4800-600
Pool B =4200
4200>4000
Pool B> Pool A
Hence amount of water after x minutes is more in pool B.
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what is 398+8967 i need help with this
working out the following additions
√8 + √18
[tex]\fbox{7.07...}[/tex]
First, we need the square of both numbers (8 and 18)
square of 8:
[tex]\sqrt{8}[/tex]
[tex]=2.828[/tex]
square of 18:
[tex]\sqrt{18}[/tex]
[tex]=4.242[/tex]
Now, let's add both numbers:
[tex]2.828+4.242[/tex]
[tex]=7.07[/tex]
The table shows a set of values for x and y
y is inversely proportional to the square x.
a) Find an equation for y in terms of x. (2)
b) Find the positive value of x when y = 25 (2)
Answer:
see explanation
Step-by-step explanation:
(a)
given y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation
to find k use any ordered pair from the table
using (2, 4 ) , then
4 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
16 = k
y = [tex]\frac{16}{x^2}[/tex] ← equation of variation
(b)
when y = 25 , that is
25 = [tex]\frac{16}{x^2}[/tex] ( multiply both sides by x² )
25x² = 16 ( divide both sides by 25 )
x² = [tex]\frac{16}{25}[/tex] ( take square root of both sides )
x = ± [tex]\sqrt{\frac{16}{25} }[/tex] = ± [tex]\frac{4}{5}[/tex]
the positive value of x is then [tex]\frac{4}{5}[/tex]
Delta Airlines' flights from Denver to Dallas are on time 80 % of the time. Suppose 7 flights are randomly selected, and the number on-time flights is recorded.
Round answers to 3 significant figures.
The probability that exactly 4 flights are on time is =
The probability that at most 3 flights are on time is =
The probability that at least 6 flights are on time is =
1) Probability that exactly 4 flights are selected is; P(X = 4) = 0.11469
2) The probability that at most 3 flights are on time is; P(X ≤ 3) = 0.99533
3) The probability that at least 6 flights are on time is; P(X ≥ 6) = 0.57672
How to solve Binomial Probability Distribution?The formula for binomial probability distribution is;
P(r) = nCr * p^(r) * (1 − p)^(n − r)
Where;
n = Number of events
r = Number of successful events in the trials
p = Probability of success in the single trial of the events
We are given;
p = 80% = 0.8
n = 7
1) Probability that exactly 4 flights are selected is;
P(X = 4) = ⁷C₄ * 0.8⁴ * (1 − 0.8)^(7 − 4)
P(X = 4) = ⁷C₄ * 0.8⁴ * 0.2³
P(X = 4) = 0.11469
2) The probability that at most 3 flights are on time is;
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Solving using online binomial calculator gives;
P(X ≤ 3) = 0.99533
3) The probability that at least 6 flights are on time is;
P(X ≥ 6) = P(X = 6) + P(X = 7)
P(X ≥ 6) = 0.57672
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how many ways are there to paint each of the integers 2, 3,..., 9 either red, green, or blue so that each number has a dierent color from each of its proper divisors?
432 ways are there to paint each of the integers 2, 3,..., 9 either red, green, or blue so that each number has a different color from each of its proper divisors.
What is counting principle?A rule used to count the entire number of alternative outcomes in a circumstance is known as the fundamental counting principle. It claims that if there are n ways to do something and m ways to do something else after that, then there are n m n*m methods to do both of these acts.
Here,
(1) All prime number can take any of three colors, except one of 2 or 3 as both are connected via 6..
so 2, 5, 7 can have 3 ways each - 3*3*3 = 27 ways
(2) Let us take the multiples of 2..
4 can take any of the remaining 2 colors, while 8 would take the remaining colour. As like 4, 6 can also take any of 2 colors other than the colour of integer 2.
Thus 2*2*1=4
3 is restricted because of 6, so it cannot have the same color as 6 and therefore 3 can have any of the remaining 2 colors.
We could also have taken 3 colors for 6, and then 2 and 3 would have 2 colors each and overall 2*2*3.. We are still getting the same
Only integer left is 9, so it will take any of the 2 colors other than that of 3, so 2 ways..
Total 2*2=4
Combined way of integers = 27∗4∗4=432 ways
There are 432 different methods to paint the numerals 2, 3,..., 9 red, green, or blue so that each number has a different hue from each of its suitable divisors.
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the age of children in kindergarten on the first day of school is uniformly distributed between 4.74 and 5.85 years old. a first time kindergarten child is selected at random. round answers to 4 decimal places if possible. the mean of this distribution is the standard deviation is the probability that the the child will be older than 5 years old? the probability that the child will be between 4.84 and 5.34 years old is if such a child is at the 9th percentile, how old is that child? years old.
a) The mean distribution is 5.295.
b) The standard deviation is 0.1026
c) The probability that the child will be older than 5 years old is 0.7657
d) The probability that the child's age is between 4.84 and 5.34 is 0.4504
e) At the 9th percentile, the age of the child is 5.739 years old.
Given interval distribution is
4.74 - 5.85.
a) Firstly, we will find the mean distribution,
Mean distribution = Sum of intervals / Number of intervals
= 4.74+5.85 / 2
= 5.295.
Hence, the mean distribution is 5.295.
b) Now, we will find the standard deviation,
We use the formula:
SD = [tex]\sqrt{\frac{(b-a)^{2} }{12} }[/tex]
b = 5.85
a = 4.74
SD = [tex]\sqrt{\frac{(5.85-4.74)^{2} }{12} }[/tex]
SD = [tex]\sqrt{\frac{(1.11)^{2} }{12} }[/tex]
SD = 0.1026
Hence, the standard deviation is 0.1026
c) The probability that the child will be older than 5 years will be
p(older than 5) = 5.85 - 5 / 5.85 - 4.74
= 0.85 / 1.11
= 0.7657
Hence, the probability that the child will be older than 5 years old is 0.7657
d) The probability that the child will be between 4.84 and 5.34 years old will be
p(between 4.84 and 5.34) = 5.34 - 4.84 / 5.85 - 4.74
= 0.5 / 1.11
= 0.4504
Hence, the probability that the child's age is between 4.84 and 5.34 is 0.4504
e) If the child is at the 9th percentile, the age will be
At the 9th percentile = 4.74 + 9/100 ×(5.85 - 4.74)
= 4.74 +(0.9)(1.11)
= 4.74 + 0.999
= 5.739
Hence, at the 9th percentile, the age of the child is 5.739 years old.
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1.2
Which of the following expressions represents "the product of a number and eight"?
8x
X+8
X/8
8-x
The expression that represents the statement "the product of a number and eight" is 8x.
Expression:
Expression means the mathematical statement that consists of minimum of two numbers/variables and at least one math operation(addition, subtraction, multiplication and division) in it.
Given,
The given statement is "the product of a number and eight".
Now, we have to find the suitable expression for this statement.
In order to find the suitable expression, we have to divide the given statement and then we have to identify the keyword in it.
By using those keywords, we have to solve it.
In the given statement we have identify the following:
product
number
eight
Here the product refers the multiplication
number is any unknown number that is x.
eight refers the number 8.
When we combine these keywords we can get the expression 8x.
Therefore, the resulting expression is 8x.
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Find the slope of the line(4,9) and (4,13)
Answer:
the slope of the line is undefined
What are the first 5 terms
The first five terms of the given sequence are a₁ = 50, a₂ = 25, a₃ = 12.5, a₄ = 6.25 and a₅ = 3.125.
What is a geometric sequence?In a geometric sequence the ratio of any two consecutive terms are equal. This ratio is known as the common ratio of the sequence.
Given that,
a₁ = 50 and aₙ = aₙ₋₁ ÷ 2
The first five terms are a₁, a₂, a₃, a₄ and a₅.
All the terms can be written using aₙ = aₙ₋₁ ÷ 2 as follows,
a₂ = a₁ ÷ 2
⇒ a₂ = 50 ÷ 2
⇒ a₂ = 25
a₃ = a₂ ÷ 2
⇒ a₃ = 25 ÷ 2
⇒ a₃ = 12.5
a₄ = a₃ ÷ 2
⇒ a₄ = 12.5 ÷ 2
⇒ a₄ = 6.25
a₅ = a₄ ÷ 2
⇒ a₅ = 6.25 ÷ 2
⇒ a₅ = 3.125
Hence, the first five terms are 50, 25, 12.5, 6.25 and 3.125 respectively.
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1. Which is an example of an experiment? (1 point)
OA company asks its website users to rate its new features to navigate the site.
O Researchers working for a company test their new sneaker design to see if it helps athletes run faster.
OA scientist watches a group of local birds to see what type of tree they prefer to make their nests in.
An ice cream company asks people to identify their top three ice cream flavors.
An example of experiment is B. Researchers working for a company test their new sneaker design to see if it helps athletes run faster.
What is an experiment?An experiment simply means a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. It should be noted that experiments provide insight into cause-and-effect as they demonstrate what outcome occurs when a particular factor is manipulated
Experiments have a vital place in the development of science because experiments are used to test the reality of a thought, an axiom, or a phenomenon with a theoretical basis and to turn it into a law or a theorem.
In this case, testing the new sneakers is an experiment.
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PLS HELP MEEEEEEEEEE !!!!
Answer:
Step-by-step explanation:
Ok;
1. Area is base times height.
Here shown, the base is 18cm and the height is 11cm. Don't be fooled by the 14cm for it is just the leg of a triangle not full height!!
18*11=198cm^2
2. Divide by two. We just caculated the area of the rectangle. Now we know a triangle is half of a rectangle's area so divide by 2!
198/2= 98cm^2
Solve.
−46=21+3m
Enter your answer as a mixed number in simplest form in the box.
m =
Answer:
-22 1/3
Step-by-step explanation:
We should start by subtracting both sides of the equality by 21.
After doing this, we get that -67=3m.
Furthermore, we can divide both sides by 3 and get -67/3=m.
However, this is an improper fraction, not a mixed number.
If we divide -67 by 3, we get -22 1/3.
Therefore, m= -22 1/3
of the 20 students in Kendra's class 5 have black hair eight have blonde hair 5 have brown hair 2 have red hair.kendra used
The probability of selecting a blonde is 0.40
What is probability?Probability is the likelihood that something will occur.
In this case, from the twenty students, it should be noted that the number of blondes are 8.
Black hair = 5
Blonde hair = 8
Brown hair = 5
Red hair = 2
Therefore, the probability of choosing a blonde will be:
= Number of blonde / Total students
= 8/20
= 0.40
The probability is 0.40
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Complete question
Of the 20 students in Kendra's class 5 have black hair eight have blonde hair 5 have brown hair 2 have red hair.kendra used the spinner to blonde hair. What's the experimental probability that the student will have blonde hair?
Dario bakes a lasagna containing $\frac 23$ pound of parmesan cheese, $1\frac 34$ pounds of ricotta cheese, and $1\frac 13$ pounds of mozzarella cheese.
Dario cuts the lasagna into several equal slices, each containing exactly $\frac 14$ pound of cheese. How many slices are there?
Dario cuts the lasagna into 15 equal slices.
Given,
Quantity of Parmesan cheese = 2/3 pounds
Quantity of Ricotta cheese = 1 3/4 = 7/4 pounds
Quantity of Mozzarella cheese = 1 1/3 = 4/3 pounds
The quantity of cheese in each pieces when the lasagna is cut = 1/4 pounds
We have to find the number of slices of cheese.
Here,
Total quantity of cheese;
2/3 + 7/4 + 4/3 = 2 + 7/4 = 15/4 pounds
Number of slices = total cheese / quantity of cheese in pieces
= (15/4) / (1/4) = 15 slices
That is,
Dario cuts the lasagna into 15 equal slices.
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solve the proportion: 3/5 = 7/x
Answer:
11.6666666 (infinitely)
what is the scale factor of a figure with a shape with a side lengths of 12 and is dilated to a shape with 4
The scale factor of a figure with a shape with a side length of 12 and is dilated to a shape with 4 is 1/3.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that a figure with side length of 12 units is being dilated in a figure with side length of 4.
In this case, the scale factor = 4/12 = 1/3
Hence, The scale factor of a figure with a shape with a side length of 12 and is dilated to a shape with 4 is 1/3.
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Please help
Graph -8+x=4y-16
Answer:
Step-by-step explanation:
I am going to transform this equation into slope-intercept form, as it is usually easier to graph it that way.
Given:
-8 + x = 4y - 16
Add 16 to both sides of the equation:
-8 + x + 16 = 4y
Divide both sides of the equation by 4:
-2 + [tex]\frac{1}{4}[/tex]x + 4 = y
Reflexive property and combine like terms:
y = [tex]\frac{1}{4}[/tex]x + 2
Now, we will graph. The 2 is our y-intercept and the [tex]\frac{1}{4}[/tex] is our slope, graphed as "rise over run." This means we will rise one unit up and run four units right.
See attached.
Solve the following exponential equation
[tex]3 {}^{2x } - 9 = 0[/tex]
Answer:
x = 1
Step-by-step explanation:
Given exponential equation:
[tex]3^{2x}-9=0[/tex]
Add 9 to both sides of the equation:
[tex]\implies 3^{2x}-9+9=0+9[/tex]
[tex]\implies 3^{2x}=9[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies \left(3^2\right)^{x}=9[/tex]
[tex]\implies9^{x}=9[/tex]
[tex]\textsf{Apply exponent rule} \quad a=a^1:[/tex]
[tex]\implies9^{x}=9^1[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies x=1[/tex]