Answer:
A, B and C
Step-by-step explanation:
1) After reflecting the circle over line g, we would come to know that Both are same in size
OR
2) we can also rotate the circle 180° around point C
OR
3) we can also translate the dilated circle so that it's centre is at point b
1. In this expression, which is the variable? 5 + y
a. P
b. 5
d. +
с. у
2. What is the variable in the expression 16r - 3?
b. R
d. 3
a.
C. -
3. What is the variable in the expression y - 7?
Y b. -
d. Z
c. 7
4.
What are the variables in the expression 10z?
a. Y b. Z
d. +
c. 10
5. Evaluate the expression 4 + d when d = 100
a. 400
b. 104 c. 4
d. 1,004
5/2 divided7 ( please dont report, i just can't figure it out! )
Answer:
5/14
Step-by-step explanation:
You multiply the recripricoal in division problems:
5/2 ÷ 7/1 =
5/2 × 1/7 =
5/14
Answer:
5 / 14
Step-by-step explanation:
will make it simple... the technique is to flip the either 5/2 or 7/1
then multiply.
5/2 x 1/7 = 5 / 14
Plato please help
Which function does this graph represent?
Answer:
The answer is A
answer asap
will mark as brainlist
Why is a two-way table helpful for looking at data?
Answer:
Because they are often used to analyze survey results.
Step-by-step explanation:
Answer:
It shows what percent of data points fit in each category
Annie was given two pieces of information and must write the equation of a line. She knows the line crosses the y-axis at the point (0,6)
and has a slope of 7
. What is the equation of the line?
The equation of the line is y = 7x + 6.
What is slope intercept form?
The slope intercept form of an equation is represented as follows:
y = mx + c ,where m = slope c = y-intercept
The of a line can be written in slope-intercept form:
y = mx + b
where m is the slope of the line, b is the y-intercept (where the line crosses the y-axis), and (x,y) are the coordinates of any point on the line.
We are given that the line crosses the y-axis at the point (0,6), which means that the y-intercept is 6. We are also given that the slope of the line is 7.
Substituting these values into the slope-intercept form of the equation, we get:
y = 7x + 6
Therefore, the equation of the line is y = 7x + 6.
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Given the following information, find the equation in vertex form, factored form and standard form.
1. Vertex (1, 4) Point (2, -1)
Vertex form
Standard form
Answer:
Vertex:
\(f(x)=-5(x-1)^2+4\)
Standard:
\(f(x)=-5x^2+10x-1\)
Factored:
This is unfactorable.
Step-by-step explanation:
The parabola has a vertex at (1, 4) and it crosses a point at (2, -1).
We will start off with the vertex form, given by:
\(f(x)=a(x-h)^2+k\)
Where (h, k) is the vertex.
Therefore:
\(f(x)=a(x-1)^2+4\)
Since the function passes through (2, -1), f(x) = -1 when x = 2:
\(-1=a(2-1)^2+4\)
Solve for a:
\(-5=a(1)\Rightarrow a =-5\)
Therefore, vertex form is:
\(f(x)=-5(x-1)^2+4\)
To find the standard form, expand:
\(f(x)=-5(x^2-2x+1)+4\)
Distribute:
\(f(x)=-5x^2+10x-5+4\)
And simplify:
\(f(x)=-5x^2+10x-1\)
We can now factor. Which two values multiply to be 5 and add up to be 10?
Since this is no possible, the equation is unfactorable.
Suppose you are given a rectangular piece of cardboard having length 6x+2 inches and width 2x−4 inches. Then you cut out a square from this piece of cardboard having side length x inches. Find the area of the remaining piece of cardboard expressed in terms of x.
To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.
Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.
The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.
This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16
Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.
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Every time Juan runs, he runs 2/3 of a mile. Whenever Leslie runs, she runs 3/3 of a mile. If Juan runs 6
times a week, how many times must Leslie run to cover the same distance as Juan?
Answer:
4
Step-by-step explanation:
This is a simple multiplication problem. First, you would multiply 2/3 by 6 to see how miles Juan runs per week. That's 12/3, or 4 miles. Then, you would divide 4 by 3/3 to see how many times Leslie must run. That's 4 times.
Answer:
run 3 is a game where you have to trie to collect all of the characters
Step-by-step explanation:
video game
Please both questions! I'll give Brainlyest
Answer:
c
Step-by-step explanation:
3=t-12
12+3=t
15=t
c is the answer
Katie selects a simple random sample of 25 students at her large school and finds that 5 of them are planning to try out for the soccer team next year. She wants to construct a confidence interval for p = the proportion of all students at her school who plan to try out for the soccer team next year, but she realizes she hasn’t met all the conditions for constructing the interval. Which condition for this procedure has she failed to meet?
n ≥ 30
n p hat greater-than-or-equal-to 10
n (1 minus p hat) greater-than-or-equal-to 10
The sample size must be less than 10% of the population size.
Answer:
C ??
Step-by-step explanation:
am I right?
n ≥ 30 is the condition for this procedure has she failed to meet
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Katie selects a simple random sample of 25 students at her large school and finds that 5 of them are planning to try out for the soccer team next year
p= the proportion of all students at her school who plan to try out for the soccer team next year
The condition that Katie has failed to meet is the first one, which states that the sample size should be large enough.
Specifically, the condition is that the sample size n should be greater than or equal to 30.
In this case, Katie only has a sample size of 25, which is less than 30.
This means that the sample may not be large enough to accurately estimate the population proportion and construct a reliable confidence interval.
Hence, n ≥ 30 is the condition for this procedure has she failed to meet
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please help me ASAP!!!
Answer:
z = -3/2 , z = -1/2
Step-by-step explanation:
Given:
7z² + 8z + 3 = 3z²
Find:
Values of z
Computation:
7z² + 8z + 3 = 3z²
7z² + 8z + 3 - 3z² = 0
4z²+ 8z + 3 = 0
4z²+ (6+2)z + 3 = 0
4z²+ 6z + 2z + 3 = 0
2z(2z + 3) + 1(2z + 3) = 0
(2z + 3)(2z + 1) = 0
So,
z = -3/2 , z = -1/2
Pls help I’ll brainlest for the right answer
Answer:
29110.87
Step-by-step explanation:
mt might is 20,401.5 ft high, and tall mountain is 8709.37 ft higher than mt might, so add their those numbers together
Question 2
A box contains 22 coloured pencils.
6 pencils are pink, 9 pencils are blue and 7 pencils are yellow.
Write down the ratio pink pencils : not pink pencils.
Give your answer in its simplest form.
Answer:
3/8 or 3:8
Step-by-step explanation:
pink : not pink
6 : 16
Think of it as a fraction. Simplify it in the same way.
6/16 simplifies to 3/8
So the pink:notpink ratio is 3/8 or 3:8
f(x) = x2
g(x) = (x +4)^2 - 1
We can think of g as a translated (shifted) version of f.
Hurry I am in summer school and almost done I need help ASAP!
Answer:
down by 1 unit and left by 4 units
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Then
g(x) = (x + 4)² - 1
is f(x) shifted down by 1 unit and shifted left by 4 units
A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses 1 2/3 pounds of gravel. For each pound of gravel, he uses 2/5 pound of cement. He is making enough concrete that he needs to use 3 pounds of sand. How many pounds of cement does he use? PLEASE HELP DUE NOW !! TYYY
A. 1 pound
B. 1 4/15 pounds
C. 2 pounds
D. 2 1/15 pounds
Using mathematical operations, the construction worker requires C. 2 pounds of cement to mix 3 pounds of sand.
What are the mathematical operations?The basic mathematical operations are subtraction, addition, division, and multiplication.
These mathematical operations combine numbers, variables, mathematical operands, and the equation symbol to solve mathematical problems.
In this situation, we can apply the mathematical operation of multiplication to determine the quantity of cement required for 5 pounds of gravel.
The quantity of gravel per pound of sand = 1²/₃ = 1.667 pounds
For 3 pounds of sand, the quantity of gravel required = 5 pounds (1²/₃ x 3)
The quantity of cement per pound of gravel = ²/₅ pounds or 0.4
For 3 pounds of sand and 5 pounds of gravel, the quantity of cement required = 2 (5 x 0.4) or (5 x ²/₅)
Thus, 2 pounds of cement are needed to mix with 3 pounds of sand and 5 pounds of gravel.
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Please help (special right triangles) :) step by step plss
The third side of the right angled triangle is 45.
What is right angled triangle?
A right angled triangle, also known as a right triangle, is a type of triangle that has one angle that measures exactly 90 degrees, called the right angle. This angle is formed where the two shorter sides of the triangle meet.
To solve this problem, we can use the concept of special right triangles, specifically the 3-4-5 right triangle. In a 3-4-5 right triangle, the sides are in the ratio of 3:4:5.
Let's label the length of the triangle as \($L$\), the height as \($H$\), and the hypotenuse as \(X\).
The Pythagorean theorem states that in a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse. Therefore, we can set up the following equation:
\($$ L^2 + H^2 = X^2 $$\)
Substitute the given values.
We are given that \($L = 27$\) and \($H = 36$\), so we can substitute these values into the equation:
\($$ 27^2 + 36^2 = X^2 $$\)
Simplify the equation.
Evaluating the squares on the left side, we get:
\($$ 729 + 1296 = X^2 $$\)
Simplifying the right side, we get:
\($$ 2025 = X^2 $$\)
Solve for X.
Taking the square root of both sides, we get:
\($$ X = \sqrt{2025} $$\)
\($$ X = 45 $$\)
Therefore, the third side of the triangle is 45.
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Please if you know the answer tell me it and the steps also thank you.
Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.
Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..
Evaluate 14y ÷ 2 for y = 6.
Answer:
Check pdf
Step-by-step explanation:
which line on the graph represents the equation y=3x-2
line b
line a
line d
line c
Answer:
Line A.
Step-by-step explanation:
When you put x as zero into 3x-2, you get 3(0)-2. That equals -2. Therefore, y = -2. When x=0, that is the y-intercept, so the y-intercept is -2. Line A crosses the y-axis at -2, so line A has that y-intercept.
Slope is always y/x. On a graph, that is the number of squares UP over the number of squares ACROSS. Counting, we get, 3 squares up over 1 square across for line A. 3/1= 3. The slope is the number we multiply by x. In the equation, that is 3, because we see 3x, and no sign or space between 2 numbers automatically means we multiply. So line A also has the correct slope.
In linear equations (straight lines), the same slope and y-intercept are enough to tell you that the equation matches the line.
Therefore, the answer is A!
Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.
Answer:
perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4
The Department of Highway Improvements, responsible for repairing a 25-mile stretch of interstate highway, wants to design a surface that will be structurally efficient. One important consideration is the volume of heavy freight traffic on the interstate. State weigh stations report that the average number of heavy-duty trailers traveling on a 25-mile segment of the interstate is 72 per hour. However, the section of highway to be repaired is located in an urban area and the department engineers believe that the volume of heavy freight traffic for this particular section is greater than the average reported for the entire interstate.
To validate this theory, the department monitors the highway for 50 1-hour periods randomly selected throughout the month. Suppose the sample mean and standard deviation of the heavy freight traffic for the 50 sampled hours are:
Sample mean = 74.1 standard deviation = 13.3
a) Do the data support the department's theory? Use α = 0.10 to come to a conclusion based on a large sample test.
Answer:
\(t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116\)
The degrees of freedom are given by:
\(df=n-1=50-1=49\)
Now we can calculate the p value with the following probability:
\(p_v =P(t_{(49)}>1.116)=0.135\)
Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.
Step-by-step explanation:
Information provided
\(\bar X=74.1\) represent the sample mean
\(s=13.1\) represent the sample standard deviation
\(n=50\) sample size
\(\mu_o =72\) represent the value that we want to test
\(\alpha=0.1\) represent the significance level
t would represent the statistic
\(p_v\) represent the p value
Hypothesis to test
We want to analyze if the true mean for this case is higher than 72, the system of hypothesis would be:
Null hypothesis:\(\mu \leq 72\)
Alternative hypothesis:\(\mu > 72\)
The statistic is given by:
\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\) (1)
Replacing the info we got:
\(t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116\)
The degrees of freedom are given by:
\(df=n-1=50-1=49\)
Now we can calculate the p value with the following probability:
\(p_v =P(t_{(49)}>1.116)=0.135\)
Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.
Removing which point from the coordinate plane would make the graph a function of x? On a coordinate plane, points are at (negative 2, negative 3), (negative 2, 1), (negative 4, 3), (0, 4), (1, 1), and (2, 3). (–4, 3) (–2, 1) (0, 4) (1, 1)
Answer:
(-2, 1)
Step-by-step explanation:
For a relation consisting of (x, y) pairs to be a function, all of the x-values must be unique. In the given relation, points (-2, -3) and (-2, 1) have the same x-value. Removing either point will make the relation a function.
Of these, the only one listed among answer choices is (-2, 1).
Answer:
-2 , 1
Step-by-step explanation:
good luck love
A snake tank measures 1.8 m x 0.5 m x 0.5 m. What is the surface area of the tank including the top? Use the formula: SA = 2hl+2hw+2lw
Answer:
4.1
Step-by-step explanation:
1.8 x 0.5 = 0.9
0.5 x 0.5 = 0.25
2(0.9 + 0.9 + 0.25) = 2(1.8 + 0.25) = 2(2.05)
2 x 2.05 = 4.1
Therefore the answer is 4.1
I hope that was helpful!
Which angles below are equal to ∠CDB?
Answer:
(x) ∠CAB
Step-by-step explanation:
In ΔCOD and ΔBOA
\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)
Also,
∠COD = ∠BOA (vertically opposite angles)
⇒ ΔCOD and ΔBOA are similar
⇒ ∠CDO = ∠BAO
⇒ ∠CDB = ∠BAC
⇒ ∠CDB = ∠CAB
Type the correct answer in the box. If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is
Answer:
35°
Step-by-step explanation:
Which of the following data sets has a range of 40?
a. {40, 10, 20, 100}
C. {40, 10, 20, 50}
b. {40, 10, 20, 80}
d. {40, 10, 20, 40}
Please select the best answer from the choices provided
A
B
С
Answer:
The second answer - 40, 10, 20, 50
Step-by-step explanation:
Range is the difference between the largest and smallest number in a data set. The biggest and smallest numbers in the data set are 50 and 10, respectively. 50 - 10 = 40.
Need help please and thank you
Answer:
no thank you
Step-by-step explanation:
lol good day
solve x^3 = 125/27.
A.25/9
B.+ 25/9
C.5/3
D.+5/3
There is supposed to be a line under the addition symbol on answer B and D.
Suppose the mean height for adult males in the U.S. is about 70 inches and the standard deviation is about 3 inches. Assume men’s heights follow a normal curve.
a) (2 pts) What percentage of adult males are under 64 inches tall? Use the 68-95-99.7 and draw a picture that illustrates your rationale.
b) (2 pts) What percentage of adult males are between 64 and 73 inches tall? Use the 68-95-99.7 and draw a picture that illustrates your rationale.
Using the Empirical Rule, it is found that:
a) 2.5% of adult males are under 64 inches tall.
b) 81.5% of adult males are between 64 and 73 inches tall.
What does the Empirical Rule state?It states that, for a normally distributed random variable, approximately:
68% of the values in the distribution are within 1 standard deviation of the mean.95% of the values in the distribution are within 2 standard deviations of the mean.99.7% of the values in the distribution are within 3 standard deviations of the mean.For item a, we have that 64 is two standard deviations below the mean, hence, considering the symmetry of the normal distribution:
2.5% of adult males are under 64 inches tall.
As shown by the first graph at the end of the answer.
For item b, we have that 64 is two standard deviations below the mean, while 73 is one above, hence, considering the symmetry of the normal distribution:
P = 0.5 x 95 + 0.5 x 68 = 81.5%.
As shown by the two blue sections, plus the left brown section, in the second graph.
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