The points listed which has the same distance from the x axis as the point (8, 3.25) is B- (7, -3.25).
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Given is a point in the XY plane with the coordinates (8, 3.25).
We have to find the point in the options which are at a same distance as the given point.
In order for two points to be at a same distance from the x axis, their y coordinates must be same with either same sign or of the opposite sign.
Here the point with the same y coordinate as the given point is B- (7, -3.25)
Hence option B is correct.
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What is the solution to this equation? -4x + 2 = 26 A. x = 7 B. x = 6 C. x = -7 D. x = -6
complete the steps to solve the polynomial equation x3-21x=-20 according to the rational root theorem, which number is a potential root of the polynomial?
You have 10 different video games. how many different ways can you arrange the games side by side on a shelf
You can arrange the games side by side on a shelf in "3628800" ways.
According to the question,
Number of video games,
10Now,
The amount of possible ways could you place the games side by side on some kind of shelf will be:
= [tex]10![/tex]
= [tex]10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]
= [tex]3628800[/tex]
Thus the response above is appropriate.
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The volume v of a right circular cone of radius r and height h is given by v = 1/3 pi r^2 h. suppose that the height decreases from 20 in to 19.95 in and the radius increases from 4 in to 4.05 in. compare the change in volume of the cone with an approximation of this change using a total differential.
Create a pattern with the rule n x 2 + 1
The pattern that can be created with the rule n x 2 + 1 is 1, 3, 5, 7, 9, 11
Given:
n × 2 + 1
= 2n + 1
where
n = number of terms
when n = 0
2(0) + 1
0 + 1
= 1
when n = 1
2(1) + 1
= 2 + 1
= 3
when n = 2
2(2) + 1
4 + 1
= 5
when n = 3
2(3) + 1
6 + 1
= 7
when n = 4
2(4) + 1
8 + 1
= 9
Therefore, the pattern that can be created with the rule n x 2 + 1 is 1, 3, 5, 7, 9, 11
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a juice can is shaped like a cylinder ]. it is 12 centimeters wide and 16 centimeters tall. find its volume to the nearest whole number . use 3.14
To find the volume of the cylinder-shaped juice can, calculate using the formula V = π r² h with the radius being half of the can's width and the given height. The volume is found to be approximately 1804 cm³ when rounded to the nearest whole number.
Calculating the Volume of a Cylinder:
To calculate the volume of a cylinder, you should use the formula V = π r² h. First, we need to determine the radius of the juice can. Since it is given that the can is 12 centimeters wide, that means the diameter is 12 centimeters, and therefore, the radius (r) is half of that, which is 6 centimeters. We also have the height (h) of the can, which is 16 centimeters. Plugging these values into the formula gives us:
V = 3.14 × 6² × 16
Now, we calculate:
V = 3.14 × 36 × 16
V = 3.14 × 576
V = 1803.84 centimeters cubed (cm³)
When we round this to the nearest whole number, the volume of the juice can is approximately 1804 cm³.
What is the area of a figure 36m×21×10×9×8×23×4×7×
I need help !! This packet is due tomorrow and I have no idea what I’m doing .
Answer:
Given is :
∠M≅∠X
∠N≅∠Y
YO≅NZ
We have to prove that ΔMNO≅ΔXYZ
Using segment addition postulate we get YZ=YO+OZ and ON=NZ+OZ and YO=NZ is already given. Using substitution of YO for NZ; we get ON=YO+OZ
Now substituting YZ for YO+OZ we get ON=YZ and also YZ=YO+OZ.
Now applying AAS we get ΔMNO is congruent to ΔXYZ because of angle-angle-side theorem as we have already proved that two sides are congruent and a non-included angle in each triangle is congruent.
In mathematics, central tendency is the tendency of data values to cluster around some central value. What does a measure of variability tell you about the central tendency of a set of data? Explain.
Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) =()x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $thousand. After 35 years, the home’s value will be about $thousand.
Answer:
f(x)=39.59
(1.09)
After 12 years: 111
After 35 years: 808
The exponential function models the data would be f(x) = 39.59 (1.09). After 12 years, the home’s value will be about $111 thousand and After 35 years, it will be about $808 thousand.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
Elias purchases a home for $38,900.
Let x be the number of years since the purchase. The function f(x) =()x models the data.
f(x) = 39.59 (1.09)
by using the model to predict the home’s value.
After 12 years, the home’s value will be about $
111 thousand.
After 35 years, the home’s value will be about $
808 thousand.
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Mrs. Hicks has 35 students in her chemistry class. The ratio of girls to boys is 3:4. How many girls does she have in her class? Let both antecedents represent girls and let both consequence represent total students.
Factor.x ^2 + 17x + 72
Find factors of x^2 and 72, that, when combined, will give you 17x
x ^2 + 17x + 72
x 9
x 8
(x + 9)(x + 8) is your factor.
hope this helps
what is the coefficient of the term 13a in the expression 13a+6b
George has $23 to spend on art supplies he wants to buy markers papers and glue if the total cost of markers and papers is more than $14 which inequality represents the dollar amount P George can spend on glue
if f(x) = 2x+1/x-4, what is the value of f^-1 (3)?
As per the inverse of a function, the value of [tex]f^{-1}(3)[/tex] is 13.
What is the inverse of a function?"An inverse function is defined as a function, which can reverse into another function."
The given function is
[tex]f(x) = \frac{2x+1}{x-4}[/tex]
⇒ [tex]y = f(x) = \frac{2x+1}{x-4}[/tex]
⇒ [tex]xy - 4y = 2x + 1[/tex]
⇒ [tex]xy - 2x = 4y + 1[/tex]
⇒ [tex]x(y - 2)= 4y + 1[/tex]
⇒ [tex]x = \frac{4y+1}{y-2}[/tex]
⇒ [tex]f^{-1}(x) = \frac{4y+1}{y-2}[/tex]
Now, [tex]f^{-1}(3) = \frac{4(3)+1}{3-2} = (12+1) = 13[/tex]
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If a salesperson sells 3/4 of an acre for $80,000, what was the price per square foot rounded to two decimal spaces?
Following are the calculation to the given question:
Given:
salesperson sells[tex]\bold{= \frac{3}{4}}[/tex]
acre= 80,000
To find:
price per square foot rounded to two decimal spaces=?
Solution:
Therefore
[tex]1 \ acre=43560\ foot \\\\ \frac{3}{4}\ acre=32670\ foot[/tex]
Calculation
[tex]32670 \ sq \ foot = \$80,000 \\\\1 \ sq \ foot =? \\\\[/tex]
Calculating the price:
[tex]=\frac{80,000}{32670}=2.4487 \approx 2.45[/tex]
Therefore, the final answer is "$2.45".
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What's the present value of $11,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually?
General Idea:
We need to make use of the below formula to find the present value.
[tex] PV=\frac{FV}{(1+\frac{r}{n})^{nt}} \\ \\ Where:\\ FV \; is \; Future\; Value\; of \; money\\ r \; is\; Annual\; rate\; of\; interest\\ t\; is\; number\; of\; years\\ n\; is\; Number\; of\; periods\; based\; on\; compounding \; frequency [/tex]
Applying the Concept:
We are given the below information:
[tex] FV= \$11,500\\ \\ t=5\; years\\ \\ r=4.5 \%\\ \\ n=2\; (because\; given\; compounded\; semi-annually) [/tex]
We need to substitute the above information in the formula to find the Present value.
[tex] PV=\frac{11500}{(1+\frac{0.045}{2})^{2 \times 5}} =\frac{11500}{(1+0.0225)^{10}} =\frac{11500}{1.0225^{10}} \\ \\ PV \approx \$9206 [/tex]
CONCLUSION:
The present value of $11,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually is approximately 9206 dollars
5x+13≥−37. Find the solution set of the inequality.
The solution of the inequality 5x + 13 ≥ − 37 will be greater than or equal to negative 10.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
5x + 13 ≥ − 37
Simplify the inequality for 'x', then we have
5x + 13 ≥ − 37
5x ≥ − 50
x ≥ − 10
The solution of the inequality 5x + 13 ≥ − 37 will be greater than or equal to negative 10.
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Find the reference angle for 697 degrees
What is the fractional notation for 0.097
Angle D is a vertical angle to F. The measure of D is 53° . What is the measure of F?
Angle F will have the same measure as angle D, which is 53°, because they are vertical angles and thus congruent.
Explanation:The question asks about the measure of angle F given that it is a vertical angle to angle D, which measures 53°. In geometry, vertical angles (also known as opposite angles) are pairs of non-adjacent angles formed when two lines intersect. Vertical angles are congruent, which means they have the same measure. Therefore, since angle D is 53°, angle F, being its vertical angle, will also have a measure of 53°.
Angle D and angle F are vertical angles, which means they are congruent. If angle D measures 53°, then angle F will also measure 53°. This is because vertical angles are equal in measure.
im having trouble with this word problem. A train travels 160 km in the same time that a plane covers 720 km. if the speed of the plane is 20 km per hour less than 5 times the speed of the train, find both speeds. Not sure how to solve.
The speed of the train is 40 km/h, and the speed of the plane is 180 km/h.
To solve the word problem regarding the speeds of a train and a plane, we first let the speed of the train be x km/h. According to the problem, the plane's speed is 20 km/h less than 5 times the speed of the train, which can be expressed as 5x - 20 km/h. Since they both travel the same amount of time, we can set up an equation based on their speeds and distances traveled:
Time taken by the train = Distance / Speed of the train = 160 / x
Time taken by the plane = Distance / Speed of the plane = 720 / (5x - 20)
Since the time is the same for both:
160 / x = 720 / (5x - 20)
Cross-multiply to solve for x:
160(5x - 20) = 720x
800x - 3200 = 720x
80x = 3200
x = 40
what is domain of g(x)= square root plus one
The circumference of a circle is 10π cm. What is the Radius of the circle? A) 4 cm B) 5 cm C) 10 cm D) 20 cm
ASAP
use multiplication to create an equivalent fraction 6/5
It is 20 minutes after 8:00 what is the correct way to write the time.
Party favors are on sale for $2.40 each. You have $380 to spend on the decorations and gifts, and you have already spent $270 on decorating. Write and solve an inequality to find the number of party favors you can buy.
Hence, the number of party favors you can buy is $[tex]45[/tex].
What is inequality?
An inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Here given that,
Party favors are on sale for $[tex]2.40[/tex] each. You have $[tex]380[/tex] to spend on the decorations and gifts, and you have already spent $[tex]270[/tex] on decorating.
So,
[tex]380-270=[/tex] $[tex]110[/tex]
To find the number of party favors you can buy, we divide $[tex]110[/tex] by the favors that are on sale for $[tex]2.40[/tex] is
[tex]\frac{110}{2.40}[/tex] = $[tex]45[/tex]
Hence, the number of party favors we can buy is $[tex]45[/tex].
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A magazine claims that 75% of all teenage boys have their own cellphones. A researcher wished to test the claim and selected a random sample of 60 teenage boys. She found that 54 had their own cell phones. At α = 0.01, should the claim be rejected?
What is the probability of flipping a coin six times in a row and getting three heads and three tails?
Final answer:
The probability of flipping a coin six times and getting exactly three heads and three tails is calculated using the binomial formula and is found to be 31.25%.
Explanation:
The probability of flipping a coin six times and getting exactly three heads and three tails can be calculated using the binomial probability formula, which is P(x; n, p) = (n choose x) * p^x * (1-p)^(n-x), where 'n' is the number of trials, 'x' is the number of successes, and 'p' is the probability of success on any given trial.
In this instance, since we are flipping a fair coin, the probability 'p' of getting heads (success) on any single flip is 0.5. We want to find the likelihood of getting 'x' = 3 heads out of 'n' = 6 flips. Therefore, the equation becomes:
P(3; 6, 0.5) = (6 choose 3) * 0.5^3 * 0.5^(6-3)
The combination (6 choose 3) calculates the number of ways to choose 3 successes (heads) from 6 trials, which is 20. Plugging these values into the equation gives:
P(3; 6, 0.5) = 20 * (0.5^3) * (0.5^3) = 20 * (0.125) * (0.125) = 20 * 0.015625
This results in a probability of 0.3125, or 31.25%.
Therefore, the chance of flipping a coin six times and getting three heads and three tails is 31.25%.
In a multiple regression analysis what would likely be the culprit of a dramatic increase in the P-value of one of the variables?