Answer:
70
Step-by-step explanation:
I'm not entirely sure, but lines b and a look congruent and vertical angles are congruent and measure 1, 4 would be 180 degrees.
Find the next two terms in this
sequence.
2,6,10, 14, 18, [?][ ]
Answer: Our required two terms will be 18 and 22.
Explanation:
Since we have given that The sequence : 2,6,10,14........
Here, a = 4 common difference = d is given by
We also have a formula to find the nth term, i.e.
We need to find the next two terms , that is 5th and 6th term
So it will be
Hence , our required two terms will be 18 and 22.
Write down the next decimal number. 0,79; 0,76; 0,73; 0,7; ___
Answer:
0.69
Step-by-step explanation:
Hope this helps..
in a football tournament, each team plays exactly 19 games. teams get 3 points for every win and 1 point for every tie. at the end of the tournament, team olympus got a total of 28 points. from the following options, how many times could team olympus have tied? 03 04 0 2 05 reddit
Based on the calculations like multiplication, subtraction, we conclude that, Team Olympus could have tied either 28 times or 19 times.
What is subtraction?
Subtraction is one of the basic arithmetic operations in mathematics. It is a process of finding the difference or the result of taking away one quantity from another.
To determine how many times Team Olympus could have tied, we need to consider the total number of points they obtained and the points awarded for wins and ties.
In each game, Team Olympus can either win, lose, or tie. If they win a game, they receive 3 points, and if they tie a game, they receive 1 point.
Since Team Olympus played 19 games, the maximum number of points they could have earned if they won every game would be 19 * 3 = 57 points. However, they obtained a total of 28 points, which is less than the maximum possible.
To calculate the number of wins, we can subtract the number of points obtained from wins (3 points each) from the total points (28 points). The remaining points would be the number of points obtained from ties.
Number of points from ties = Total points - Number of wins * Points per win
Number of points from ties = 28 - Number of wins * 3
To find the possible number of ties, we need to determine the values of Number of wins that result in a non-negative number of points from ties.
Let's calculate the possible values:
Number of wins = 0:
Number of points from ties = 28 - 0 * 3 = 28 points
28 points can be obtained from 28 ties.
Number of wins = 1:
Number of points from ties = 28 - 1 * 3 = 25 points
25 points cannot be obtained from ties since it is not divisible by 1.
Number of wins = 2:
Number of points from ties = 28 - 2 * 3 = 22 points
22 points cannot be obtained from ties since it is not divisible by 1.
Number of wins = 3:
Number of points from ties = 28 - 3 * 3 = 19 points
19 points can be obtained from 19 ties.
Based on the calculations, Team Olympus could have tied either 28 times or 19 times.
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A newsletter publisher believes that under 69% of their readers own a Rolls Royce. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim
There is enough proof to indicate that the percentage of newsletter readers who possess a Rolls Royce is less than 69%.
The null hypothesis is that p = 0.69, meaning that 69% of the newsletter readers own a Rolls Royce. The alternative hypothesis is that p < 0.69, meaning that less than 69% of the newsletter readers own a Rolls Royce.
We can use a one-tailed z-test to test the hypothesis. Assuming a sample size of n = 100, if we observe fewer than 69 Rolls Royces in our sample, we can reject the null hypothesis.
Using a z-test, we can calculate the z-score by using the formula:
z = (p' - p) / sqrt(p * (1 - p) / n)
where p' is the sample proportion, p is the hypothesized proportion, and n is the sample size.
At a significance level of 0.10, the critical z-value is -1.28. If the calculated z-score is less than -1.28, we can reject the null hypothesis.
If we conduct a survey of 100 newsletter readers and find that 58 of them own a Rolls Royce, the sample proportion would be p' = 0.58. Calculating the z-score, we get:
z = (0.58 - 0.69) / sqrt(0.69 * 0.31 / 100) = -1.83
Since -1.83 is less than -1.28, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that fewer than 69% of the newsletter readers own a Rolls Royce.
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Logx-1(343)=3 solve for base x
Answer:
should be 8 !
Step-by-step explanation:
it just is
(c) explain what would happen to the length of the interval if the confidence level were... (i) increased to 99% (ii) decreased to 80%
If the confidence level were increased to 99%, the width of the confidence interval increases, when decreased to 80%, the width of the confidence interval decreases.
What is confidence interval?A confidence interval provides a range of estimated values for a population parameter's real value. A confidence level is connected to confidence intervals. The width of the confidence interval grows as the confidence level increases. The width of the confidence interval reduces as the confidence level goes down.
Since the margin of error grows as the confidence level does as well, the confidence interval will be bigger. Hence it increases for 99% and decreases for 80%.
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Under what circumstances is a score that is located 5 points above the mean a central value, relatively close to the mean?
a. When the population standard deviation is much less than 5
b. When the population mean is much less than 5
c. When the population mean is much greater than 5
d. When the population standard deviation is much greater than 5
The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.
What is the standard deviation?Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.
Here, we have
The circumstance is a score that is 5 points above the mean considered a central value.We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.
We concluded from the above statement that when the population standard deviation is much greater than 5.
Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.
Therefore, the correct option is D.
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How many two-digit primes have both their digits non-prime?
6 5 4 3 2
Answer:
11, 13, 17, 31, 37, 71, 73, 79, 97 are the two digit numbers which remain prime even on interchanging the digits.
Step-by-step explanation:
PLEASE HELP ANYONE:))
Answer:
3 million dollars
Step-by-step explanation:
i just did this and got it right
HELP ASAP!!!!!!!!!!! A museum has a square base with sides measuring 60m. Use the scale of 3 inches = 18m to find the side lengths in inches. What are the side lengths in inches?
Fractions are ratio of two integers. The museum has a side length of 20 inches.
Ratios and proportionsFractions are written as a ratio of two integers. The use of scale factors is important in diminishing and enlarging a figure or object.
Given the following parameters
Measure of the side base of the museum = 60m
If the scale factor os the side base is 3 inches to 18m, hence the side length in inches is given below:
3in = 18meters
x = 60meters
Take the ratios
3/x = 18/60
18x = 3(60)
18x =180
x = 180/18
x = 10inches
Hence the side length of the museum in inches is 10 inches.
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Find the slope of the line without graphing using the 2 points below.
(3 , -10) & (4 , -21)
m = _______
Answer: m=-11
Step-by-step explanation:
To find the slope of the line, you want to use formula \(m=\frac{y_2-y_1}{x_2-x_1}\). Since we are given two points, we can directly plug them in and solve.
\(m=\frac{-21-(-10)}{4-3} =\frac{-11}{1} =-11\)
Now, we know that the slope is -11.
Whats the answer and how do i show work
The measure of <1 is 147 degree.
Given:
m∠2 = 12x - 15
m∠7 = 3x + 21
Since angles 2 and 7 are alternate Exterior angles, they are congruent.
So, 12x - 15 = 3x + 21
12x - 3x = 21 + 15
9x = 36
x = 4
So, <2 = 12x - 15= 48 - 15 = 33
Now, <1 + <2 = 180 (Linear Pair)
<1 + 33 = 180
<1 = 147 degree
Thus, the measure of <1 is 147 degree.
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Martin bikes at a constant speed to a finish line that is 15 mi away. After 20 mins, he is 10 mi from the finish line. After 30 mins, he is 7.5 mi from the finish line. If a graph shows his distance y from the finish line, in miles, after x minutes, what
Is the slope of the graph, and What does it represent?
A 15; Martin's initial distance
from the finish line
B 15; Martin's final distance from the finish line
C -0.25; the rate at which
Martin's distance from the
finish line changes per minute
D 0.25; the rate at which Martin's distance from the start line changes per minute
The answer is C. -0.25; the rate at which Martin's distance from the finish line changes per minute
A traffic yield sign is in the shape of an equilateral triangle. If each side is 36 inches,
what is the height of the sign to the nearest tenth of an inch?
Answer:
31.2 inches
Step-by-step explanation:
Draw a line representing the height of the triangle, and divide it into 2 triangles.
Apply Pythagoras Theorem on one of the smaller triangles first.
\(h = \sqrt{ {36}^{2} - {(36 \div 2)}^{2} } \\ h = \sqrt{ {36}^{2} - {18}^{2} } \\ h = \sqrt{972} \\ h = 31.17691...\)
h = 31.2 inches (rounded to the nearest tenth)
Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.
Answer:
d. All of the above are true
Step-by-step explanation:
All of the following statements,
a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.
b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.
C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.
are true
what is the proportional relationship between x 2 6 8 10 and y 6 18 24 30
The proportional relationship is y = 3x.
What is the proportional relationship?
If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
Here, we have
Given:
x: 2, 6, 8, 10
y: 6, 18, 24, 30
We have to find the proportional relationship between x and y.
So, we can see from inspection and visual observation that there is a proportional relationship between x and y.
6 = 3 2, 18 = 3 6, 24 = 3 8, 30 = 3 10.
Hence, The proportional relationship is y = 3x.
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Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region. What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answer:
the answer is 25 insects because that's what the y-intercept is. the y-intercept is the start of the project because it is "0 weeks" on the x-axis
655 + (6.3 x 170) + (4.7 x 58) - (4.7 x 18)
Answer:
1914
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
655 + (6.3 × 170) + (4.7 × 58) - (4.7 × 18)
Step 2: Evaluate
(Parenthesis) Multiply: 655 + 1071 + (4.7 × 58) - (4.7 × 18)(Parenthesis) Multiply: 655 + 1071 + 272.6 - (4.7 × 18)(Parenthesis) Multiply: 655 + 1071 + 272.6 - 84.6Add: 1726 + 272.6 - 84.6Add: 1998.6 - 84.6Subtract: 1914find the value of x in the triangle shown below
x = ?
Answer:
x=30°
Step-by-step explanation:
53+97+x=180
150+x=180
x=180-150
x=30°
hope this helps
plz mark as brainliest
Describe a sequence
one of the beauties of mathematics is that it is able to provide help in all sorts of different situations and to all sorts of people. you have land that you would like to use to create two distinct fenced-in areas in the shape given below. you have 410 meters of fencing materials to use. what values of x and y would result in the maximum area that you can enclose?
The perimeter be 410 then the maximum area be \($A=\left(\frac{410-3 x}{2}\right) * x$$\).
What is meant by perimeter?A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.
Let the perimeter be p = 410
The perimeter of the fence is:
p = 2(x + y + 5 + y) + x
p = 2x + 2y + 10 + 2y + x
Collect like terms
p = 2x + x + 2y + 2y + 10
p = 3x + 4y + 10
Where, p = 410, then
3x + 4y + 10 = 410
\($$\begin{aligned}& 4 y=410-10-3 x \\& 4 y=400-3 x\end{aligned}$$\)
simplifying the equation, we get
\($y=\frac{400-3 x}{4}$$\)
The area (A) of the fence is:
\($$\begin{aligned}& A=(y+y+5) * x \\& A=(2 y+5) * x\end{aligned}$$\)
Substitute: \($y=\frac{400-3 x}{4}$\)
\($$\begin{aligned}& A=\left(2 * \frac{400-3 x}{4}+5\right) * x \\& A=\left(\frac{400-3 x}{2}+5\right) * x\end{aligned}$$\)
simplifying the equation, we get
\($A=\left(\frac{400-3 x+10}{2}\right) * x$$\)
\($A=\left(\frac{410-3 x}{2}\right) * x$$\)
\($A=\frac{410 x-3 x^2}{2}$$\)
A = 205x - 1.5 x²
Differentiate both sides, we get
A' = 205-3 x
simplifying the equation, we get
205 - 3x = 0
3x = 205
Therefore, the maximum area be \($A=\left(\frac{410-3 x}{2}\right) * x$$\).
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hello, can anyone help me out? ill give brainliest
Answer:
ur correct
Step-by-step explanation:
if ∠N and ∠Y are the same then we know the missing angle is 30.°
30
Step-by-step explanation:
do angle sum property
x + z + y = 180
60 + 90 + y = 180
150 + y = 180
y = 180-150
y = 30
PLEASE HELP WILL MARK BRAINLIEST FOR WHOEVER IS FIRST
Answer: 3/8 cups
Step-by-step explanation: Did this help?
Find an equation of the tangent line to the curve at the given point.
y=(1+2x)^12, (0,1)
The equation of the tangent line to the curve y = (1 + 2x)¹² at the point (0, 1) is y = 24x + 1.
To find the equation of the tangent line to the curve at the given point, we need to determine the slope of the tangent line and then use the point-slope form of a linear equation.
Given the equation of the curve: y = (1 + 2x)¹² and the point (0, 1), we can find the slope of the tangent line by taking the derivative of the curve with respect to x.
Let's differentiate y = (1 + 2x)¹²:
dy/dx = 12(1 + 2x)¹¹ * 2
At the point (0, 1), x = 0. Substituting this value into the derivative, we have:
dy/dx = 12(1 + 2(0))¹¹ * 2
= 12(1)¹¹ * 2
= 12 * 2
= 24
So, the slope of the tangent line at the point (0, 1) is 24. Now we can use the point-slope form to find the equation of the tangent line:
y - y₁ = m(x - x₁)
Plugging in the values: x₁ = 0, y₁ = 1, and m = 24, we have:
y - 1 = 24(x - 0)
Simplifying, we get:
y - 1 = 24x
Finally, let's rewrite the equation in slope-intercept form (y = mx + b):
y = 24x + 1
Therefore, the equation of the tangent line to the curve y = (1 + 2x)¹² at the point (0, 1) is y = 24x + 1.
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The function f(x) = log4x is dilated to become g(x) = f (1/3x).
What is the effect on f(x)?
Given:
The functions are:
\(f(x)=\log_4x\)
\(g(x)=f\left(\dfrac{1}{3}x\right)\)
The function f(x) is dilated to become g(x).
To find:
The effect on f(x).
Solution:
Transformation is defined as:
\(g(x)=f(kx)\) ...(i)
Where, k is the factor of horizontal stretch and compression.
If 0<k<1, then the graph of f(x) stretched horizontally by factor \(\dfrac{1}{k}\).
If k>1, then the graph of f(x) compressed horizontally by factor \(\dfrac{1}{k}\).
It is given that
\(g(x)=f\left(\dfrac{1}{3}x\right)\) ...(ii)
On comparing (i) and (ii), we get
\(k=\dfrac{1}{3}\)
Therefore, the graph of f(x) stretched horizontally by factor \(3\).
I don't understand this problem
Answer:
1. a
2. a
3. b
Step-by-step explanation:
Q1. The equation is 3x+6=30. b c d are all good answers so it has to be a. If you want more details on why a is wrong, if you expand it becomes 3x+18=30 which is wrong
Q2. This one is 4(x+6) = 40 because you have x+6 4 times and it tells you the total is 40. So the one that matches is a.
Q3.
You have 6 plus 4 x which makes a total of 40.
So 6 + 4x = 40. The equation that matches is b.
Hmu if you need more explanation
View the Amortization Table and use it to answer each question.
According to the amortization table, Demarco and Tanya will pay a total of
(blank) in interest over the life of their loan.
This means their total cost, including the $170,000 purchase price, is approximately (blank)
.
Answer:
1. $104,854
2. $274,854
Step-by-step explanation:
did it on edge and it was correct
Answer:
1. 104,854
2. 274,854
Step-by-step explanation:
i just did the assignment. and it was right.
Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function
Answer:
y = 45/x
Step-by-step explanation:
Here, we want to write an inverse relationship
for an inverse relationship, the product of both variables will be equal to the constant term
Let us have the constant term as k
Thus, we have it that;
xy = k
9 * 5 = k
k = 45
So the inverse function is;
xy = 45
or y = 45/x
if y is a function of x, we can have it as;
f(x) = 45/x
Segments AB and BC are both tangent to the circle shown above. What is the value of x? *Note: photo not necessarily to scale
In right triangle OAB and right triangle OCB above.
\(OA=OC\)Therefore,
\(\begin{gathered} m\angle OAB=m\angle OCB=90^0 \\ Then, \\ OB=OB \end{gathered}\)Hence,
\(\begin{gathered} Rt\Delta OAB\cong Rt\Delta OCB \\ \therefore AB=CB \end{gathered}\)Then,
\(\begin{gathered} x^2+3=12 \\ x^2=12-3=9 \\ x^2=9 \\ x=\sqrt{9}=3 \end{gathered}\)Hence,
\(x=3\)12 cm
5 cm
10 cm
6 cm
The area of the frame that's not covered by the picture will be 12cm²
How to illustrate the information?From the information, a picture measuring 10cm by 5cn is mounted on a rectangular frame that's 12cm by 6cm.
The area of the frame that's not covered by the picture will be:
= (12 × 6) - (5 × 10)
= 72- 50
= 12cm
The area of the frame that's not covered by the picture will be 12cm²
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A picture measuring 10cm by 5cn is mounted on a rectangular frame that's 12cm by 6cm. What is the area of the frame that's not covered by the picture?