Use the distance formula: D=sqrt((x2-x1)^2+(y2-y1)^2)
Plug in:
D=sqrt((9-8)^2+(-1-2)^2)
D=sqrt(1^2+(-3)^2)
D=sqrt(1+9)
D=sqrt(10)
So the distance is about 3.16 units
Hope this helped!
What is the result when the number 28 is decreased by 75%
Answer:
-75 ercent
Step-by-step explanation:
Select the correct solution set.
50 ≥ 15x
{x | x ≥ 10/3 }
{x | x ≤ 10/3 }
{x | x > 10/3 }
Step-by-step explanation:
[tex]50 \geqslant 15x \\ \\ \implies \: \frac{50}{15} \geqslant x\\ \\ \implies \: \frac{10}{3} \geqslant x \\ \\ \therefore \: x \leqslant \frac{10}{3} \\ thus \: \{x \: | \: x \leqslant \frac{10}{3} \} \: is \: the \: correct \: \\ solution \: set.[/tex]
The correct solution set of 50 ≥ 15x is {x | x ≤ 10/3 }.\
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given that the expression;
50 ≥ 15x
We can add subtract the 15x - 50 of both sides,
⇒50 - 15x - 50 ≥ 15x -15x - 50
⇒50 - 15x - 50 ≥ 15x -15x - 50
⇒ - 15x ≥ - 50
Now we multiply by -1 ,after this process inequality symbol must be reversed
⇒ 15x ≤ 50
Divide by 50 on both sides,
⇒ 15x / 50 ≤ 50 / 50
⇒ 3x/10 ≤ 1
⇒ x ≤ 10 /3
Therefore, the solution set is {x | x ≤ 10/3 }
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What is the volume of a bathtub
that is 6 feet long, 2 feet wide,
and 1 foot deep?
Answer:
96 cubic feet
Step-by-step explanation:
what is this -6=b/18
Answer:
That is math.
Answer:
When only solving for b you would multiple by the reciprocal of 1/18*b so you multiply 18 to both sides and b is equal to -108
Step-by-step explanation:
plot points a,b, c and d on a number line so that each statement is true: B < 0, a < c, d > 0, b > c
Answer:
Step-by-step explanation:
How do you convert fraction to percent
Answer: dividing
Step-by-step explanation:
Final answer:
To convert a fraction to a percent, divide the numerator by the denominator to get a decimal, multiply the decimal by 100, and then add the percent symbol (%).
Explanation:
To convert a fraction to a percent, you start by converting the fraction into a decimal. To do this, divide the numerator (the top number) by the denominator (the bottom number). Once you have the decimal, you multiply it by 100 to get the percent value. Finally, append the percent symbol (%) to the number.
Example:
For the fraction 3/4, first convert it to decimal:
Divide 3 by 4 to get 0.75.Multiply 0.75 by 100, which equals 75.So, 3/4 as a percent is 75%.Another way to convert fractions to percent is by finding an equivalent fraction that has 100 as its denominator. Then, simply use the numerator as the percent. If the fraction's denominator is not easily scalable to 100, it is easier to use the decimal method described previously.
Mrs. Keen bought a new snow blower at Lowe's. It regularly is sold
for $565.00, but there was a sale that said it was 35% off. How much
did Mrs. Keen pay for her new snow blower? SHOW WORK!
Answer:
367.25 dollars
Step-by-step explanation:
To calculate 35 percent of 565 you would first
Find 30 percent to do this find 10% (÷10) and then times your answer by 3. (565÷10=56.5 times by 3 is 169.5)Then you would have to find 5 percent do this by halfing 10% of the number. (We know 10% equals to 56.5 half off that is 28.25)Add the numbers together (5% + 30%)(169.5 + 28.25 =197.75)35% is 197.75 the question says 35% off so you would have to take the 35% off the 565
(565-197.75 = 367.25)
Which measures of center and variability can be used to most accurately compare the two data sets? mean and MAD mean and IQR median and MAD median and IQR
Answer:
Median and IQR
Step-by-step explanation:
If we are to accurately compare two data sets, the best measure of central tendency is median and best measure of variability is the MAD.
The reason is that:
1. Median is not affected by outlier or extreme value. Due to this, if we use the mean, it can be misleading if there is any case of outlier(s) in the data sets.
2. The interquartile range (IQR) is the middle half of the data. It uses the concept of median to operate - think about the median value that splits the dataset in half. Similarly, you can divide the data into quarters. This also is not affected by outlier(s) or extreme value(s).
NB: When we say middle half or middle number, we assumed you have sorted the data sets either in ascending order or descending order. This will put the data sets in order of their sizes. E.g., 1 < 2 < 3, etc.
Answer:
Median and IQR
Step-by-step explanation:
U and V are mutually exclusive events. P(U) = 0.27; P(V) = 0.56. Find:
P(U and V) =
b. P(U|V) =
c. P(U or V) =
Answer:
(a) P (U and V) = 0.
(b) P (U|V) = 0.
(c) P (U or V) = 0.83.
Step-by-step explanation:
Mutually exclusive events are those events that cannot occur at the same time. That is, if events A and B are mutually exclusive then,
[tex]P (A\cap B) = 0[/tex]
Given:
Events U and V are mutually exclusive.
P (U) = 0.27 and P (V) = 0.56
(a)
As events U and V are mutually exclusive, the probability of their intersection will be 0.
That is,
[tex]P(U\ and\ V) = P (U\cap V) = 0[/tex]
Thus, the value of P (U and V) is 0.
(b)
The conditional probability of event B given A is:
[tex]P(B|A) =\frac{P(A\cap B)}{P(B)}[/tex]
Compute the value of P (U|V) as follows:
[tex]P(U|V) =\frac{P(U\cap V)}{P(V)}\\=\frac{0}{0.56}\\ =0[/tex]
Thus, the value of P (U|V) is 0.
(c)
The probability of the union of two events, say A and B, is
[tex]P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
Compute the value of P (U or V) as follows:
[tex]P(U\ or\ V)=P(U\cup V)\\=P(U)+P(V)-P(U\cap V)\\=0.27+0.56-0\\=0.83[/tex]
Thus, the value of P (U or V) is 0.83.
The events U and V are mutually exclusive. So, the value of P(U and V) is 0, the value of P(U|V) is 0, and the value of P(U or V) is 0.83 and this can be determined by using the given data.
Given :
P(U) = 0.27P(V) = 0.56U and V are mutually exclusive events.A) P(U and V)
P(U and V) = P(U [tex]\cap[/tex] V) = 0
Because U and V are mutually exclusive events.
B) P(U|V)
[tex]\rm P(U|V) = \dfrac{P(U\cap V)}{P(V)}[/tex]
[tex]\rm P(U|V) = \dfrac{0}{0.56}[/tex]
P(U|V) = 0
C) P(U or V)
[tex]\rm P(U \;or\;V) = P(U\cup V)[/tex]
[tex]\rm P(U \;or\;V) = P(U)+P(V)-P(U\cap V)[/tex]
P(U or V) = 0.27 + 0.56 - 0
P(U or V) = 0.83
The events U and V are mutually exclusive. So, the value of P(U and V) is 0, the value of P(U|V) is 0, and the value of P(U or V) is 0.83 and this can be determined by using the given data.
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what is the solution to the inequality below x2>25
Answer:
Ans: (-5, 5)
-5 < x < 5
Step-by-step explanation:
Standard form: f(x) = x^2 - 25 < 0.
First solve x^2 - 25 = 0 --> x = +- 5
Use the algebraic method to solve f(x) < 0. Between the 2 real roots (-5) and (5), f(x) < 0, as opposite in sign to a = 1.
Answer by open interval: (-5, 5)
First off, write the inequality as 2x>25
Divide both sides by 2 to get x>12.5
Hope this helped
During the homecoming football game, Quentin lost 20 yards, gained 7 yards, and gained 24 yards in three successive running plays. What was his total gain or loss?
Answer:
He gained 31 yards minus 24 = which is 11 yards.
Step-by-step explanation:
If we gained 24 yards plus the 7 which is 31
So if he loss 20 yards that will be 11 yards left cause 31-24= 11
There's your answer. Hope this helps!
will mark brainlist pls help !! :)
Answer:
B
Step-by-step explanation:
I just had the same paper last night
mrs. anderson ordered 56 pizzas for a fundraiser. 2.7 of them were meatball. 19 pizzas were cheese and the rest were pepperoni. what fraction of the poizzas were pepperoni
Answer:
I'm assuming you meant 27 and not 2.7 sooo... 5/28 were pepperoni
Step-by-step explanation:
for f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x)
(f-g)(x) = [tex]x^{2}[/tex] + 2x + 8
Step-by-step explanation:
Step 1:
Formula for (f-g) (x) = f(x) - g(x)
Step 2:
Substitute values of f(x) and g(x) in the formula and solve
(f-g)(x) = (2x + 1) - ([tex]x^{2} -7[/tex])
(f-g)(x) = 2x + 1 - [tex]x^{2}[/tex] + 7
= 2x + 8 [tex]- x^{2}[/tex]
= [tex]x^{2}[/tex] + 2x + 8
Factor a number, variable, or expression out of the trinomial shown below:
4x2 - 16x + 8
Answer:
4×(x² - 4x + 2)
Step-by-step explanation:
4x2 - 16x + 8 = 4×x² - 4×4×x + 4×2 = 4×(x² - 4×x + 2)
24 + 6 = 6(4 + 2)
What is Jimmy's error?
Jimmy did not write the common factor in the correct place.
Jimmy used 6 as the factor, which is not common to 24 and 6.
Jimmy did not apply the correct operations to the expressions.
Jimmy wrote two expressions that are not equivalent.
Answer:
6 times 2 is 12, 6 times 4 is 24, 30 doesn't equal 36
what is the solution to the following system?
Answer:
Option C: (2, 1, 0)
Step-by-step explanation:
We are given a system of three equations. Usually, we eliminate a variable from the equations. Solve for the remaining two equations and determine the value of the third equation later.
Here, we are given the choices. So, we can readily substitute each option in the equations. The solution should satisfy all the three equations.
Option A: (3, 1, 0)
Equation (1): 3x + 3y + 6z = 9
⇒ 3(3) + 3(1) + 6(0) = 9 + 3 ≠ 9
Option A does not satisfy the first equation. So, it is eliminated.
Option B: (0, 1, 0)
Substituting in the first equation: 3x + 3y + 6z = 9
⇒ 3(0) + 3(1) + 6(0) = 3 ≠ 9
Option B does not satisfy as well. Hence, it is eliminated.
Option C: (2, 1, 0)
Substituting in 3x + 3y + 6z = 9
⇒ 3(2) + 3(1) + 6(0) = 9
It satisfies Equation 1. For this to be a solution, it should satisfy all the three equations. So, we check for equation 2 and 3.
Equation 2: x + 3y + 2z = 5
2 + 3(1) + 2(0) = 2 + 3 = 5
Equation 3: 3x + 12y + 12z = 18
3(2) + 12(1) + 12(0) = 6 + 12 = 18
Option C satisfies all the equations. So, it is the solution to the system.
On simple substitution, Option D can be eliminated as well.
Hence, the answer.
a rectangular prism has a volume of 10 cubic units. If the length width and height of the prism are all each made 3 times as long what is the new volume?
Answer:
270 units³
Step-by-step explanation:
l×w×h = 10
lwh = 10
New Volume = (3l)×(3w)×(3h)
= 27×lwh
= 27×10
= 270 units³
Alternately,
Since the sides are increased in the same ratio,
The two prisms are similar figures
For similar figures,
volume1/volume2 = (side1/side2)³
New Volume/10 = (3/1)³ = 27
New Volume = 270 units³
Final answer:
The new volume of a rectangular prism, whose dimensions are tripled, is calculated by cubing the factor of increase (3) and multiplying it by the original volume. The new volume will be 270 cubic units.
Explanation:
If the original volume of a rectangular prism is 10 cubic units and the length, width, and height are all made three times as long, the new volume can be calculated using the principle that volume is proportional to the cube of the linear dimensions of the prism. This is often represented as V imes L³ where V is volume and L is the linear dimension.
To find the new volume, you would multiply each dimension by 3 so the new length (L'), width (W'), and height (H') would be three times the original dimensions. The new volume would then be calculated as:
V' = L' times W' times H' = (3L) times (3W) times (3H)
Since the original volume (V = L imes W imes H) is given as 10 cubic units, and you've multiplied each dimension by 3, you would cube the factor of increase (3³ = 27) and multiply it by the original volume:
V' = 27 imes V = 27 imes 10 = 270 cubic units
Therefore, the new volume of the rectangular prism would be 270 cubic units.
Model and solve the problem. 12 x 1/5
Answer:
2 2/5
Step-by-step explanation:
12 x 1/5 = 2 2/5
Complete the equation of the line through (-9,7) and (-6, -3).
Use exact numbers.
y=
Answer:
y = -10/3x -23
Step-by-step explanation:
The 2-point form of the equation of a line is useful for this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
Using your points, we have ...
y = (-3 -7)/(-6 -(-9))(x -(-9)) +7
y = (-10/3)(x +9) +7
y = -10/3x -23 . . . . . . . simplify
The equation of the line passing through the points (-9,7) and (-6, -3) is y = -10/3x -14.
Explanation:In mathematics, the equation of a line can be given as y = mx + c, where m is the slope of the line and c is the y-intercept. Firstly, we need to calculate the slope (m) which is (y2 - y1) / (x2 - x1). If we substitute the points (-9,7) and (-6, -3) we get (-3 - 7) / (-6 + 9) = -10 / 3, so m = -10/3. Next, to get the y-intercept (c) we can substitute the slope and one of the points into the equation: 7 = -(10/3)*(-9) + c, and we get c = -14. Therefore the equation of the line is y = -10/3x -14.
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Calculate the surface area of the triangular prism without the bases.
672 cm^2
400 cm^2
480 cm^2
192 cm ^2
Answer:
The Answer Is C
Step-by-step explanation:
I took the test
Problem Solving
If seven coins add to $1, what
could the coins be?
Answer:
2 quarters and 5 dimes
Step-by-step explanation:
(2) 25 cent coins = 50 cents
(5) 10 cent coins = 50 cents
equals $1
Mr. Falcone pizza shop offers three sizes of pizza. The small medium and large pizzas have diameters of 8 inches 10 inches 12 inches
Step-by-step explanation:
Given,
The diameter of small pizza = 8 inches,
The diameter of medium pizza = 10 inches and
The diameter of large pizza (d) = 11 inches
To find, the circumference of each size of pizza = ?
We know that,
The circumference of the circle = [tex]2\pi r= \pi d[/tex]
∴ The circumference of small size of pizza = 3.14 × 8 = 25.12 inches
The circumference of medium size of pizza = 3.14 × 10 = 31.4 inches
Also,
The circumference of large size of pizza = 3.14 × 12 = 37.68 inches
Thus, the circumference of small size, medium size and large size of pizzas are 25.12 inches, 31.4 inches and 37.68 inches.
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What is 29r2 divided by 17
Final answer:
The division of 29r2 by 17 simplifies down to approximately 1.7059r^2, where r is a variable representing a real number.
Explanation:
The student is asking about a division of algebraic expressions, specifically 29r^2 divided by 17. The notation 29r^2 suggests that we have the variable r squared, multiplied by 29, and we need to divide this entire expression by 17. This is a straightforward division operation where each term in the numerator is divided by the denominator.
To find the solution, you divide 29 by 17 and keep r^2 (r squared) as part of the expression. Therefore, the simplified form of 29r^2 divided by 17 would be approximately 1.7059r^2, assuming that r represents a real number.
Determine the models that could represent a compound interest account that is growing exponentially.
Select all the correct answers,
A(t) = 2,675(1.003)120
A(t) = 4,170(1.04)
A(t) = 3,500(0.997)4t
A(t) = 5,750(1.0024)20
A(t) = 1,500(0.998)127
A(t) = 2,950(0.999)
Answer: [tex]A(t) = 2,675(1.003)^{120}[/tex]
[tex]A(t) = 4,170(1.04)[/tex]
[tex]A(t) = 5,750(1.0024)^{20}[/tex]
Step-by-step explanation:
The exponential growth equation is given by :-
[tex]y=Ab^x[/tex] , where A = initial value , x= time period , b= growth factor.
The growth factor should be greater than 1.
From all the given options , the equations that are exponential :
[tex]A(t) = 2,675(1.003)^{120}[/tex] , here b= 1.003
[tex]A(t) = 4,170(1.04)[/tex] , here b= 1.04
[tex]A(t) = 3,500(0.997)^{4t}[/tex] , here b= 0.997
[tex]A(t) = 5,750(1.0024)^{20}[/tex] , here b= 1.0024
[tex]A(t) = 1,500(0.998)^{127}[/tex] , here b= 0.998
[tex]A(t) = 2,950(0.999)[/tex] , here b= 0.999
From the above exponential equations , only first , second and fourth equation has b>1.
So , the models that could represent a compound interest account that is growing exponentially. are :
[tex]A(t) = 2,675(1.003)^{120}[/tex]
[tex]A(t) = 4,170(1.04)[/tex]
[tex]A(t) = 5,750(1.0024)^{20}[/tex]
Please Do not answer with anything irrelevant to this subject,Thank you.
In a right triangle, side a is 3 times as long as side b, and side c is 30 cm. Using the Pythagorean Theorem, what are the lengths of sides a and b? Round your answers to the nearest tenth.
Answer:
a = 9√10
b=3√10
Step-by-step explanation:
see attached for reference for any right triangle
in our case
c is the hypotenuse
hence
c² = a² + b²
we are given that c = 30
also that a is 3 times as long as b or,
a = 3b
substituting these into the pytharogrean formula.
c² = a² + b²
30² = (3b)² + b²
900 = 9b²+b²
10b² = 900
b² = 90
b = √90 = √9 √10 = 3√10
earlier we found that a = 3b,
hence
a = 3(3√10)
a = 9√10
What kind of solution is x(5-2)=4x-x
Answer:
All Real Answers / Infinite Solutions
Step-by-step explanation:
Distribute: 5x-2x = 4x-x
Simplify: 3x=3x
Subtract 3x from each side: 0=0
How do you answer -80=5m
Answer:-16
Step-by-step explanation:
You want to isolate the variables (in this case it's m)
-80=5m
divide both sides by 5
-16=m
Which expression is equivalent to 9a1/2b14c3/2?
The given algebraic expression 9a1/2b14c3/2 appears to be a kind of factorization where a, b, c are variables raised to different powers. Unless values for these variables are provided, this expression can't be simplified further.
Explanation:The expression 9a1/2b14c3/2 is considered as a form of factorization in mathematics where a, b, c denote variables, and the numbers 1/2, 14, 3/2 are their respective exponents. In other words, it's a product of the variables 'a', 'b', and 'c' raised to their respective powers. For instance, 'a' is under a square root (as signified by the power of 1/2), 'b' is raised to the power of 14, and 'c' is also under a square root but cubed (a power of 3/2).
Consequently, this expression doesn't seem to have a simpler or equivalent expression because the terms 'a', 'b', and 'c' are likely representing different entities, hence they can't be combined or simplified further. However, should there be values for 'a', 'b', and 'c', it's simply substituted into the expression and calculated accordingly.
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Helppppp me pleaseeeeee
Answer:
x-1=0 x=1
x+1=0 x= -1
x+5=0 x= -5
Step-by-step explanation: