[tex]\bf \begin{array}{lrlll} \stackrel{\textit{volume of a cone}}{\cfrac{\pi r^2 h}{3}\qquad \implies \qquad \cfrac{\pi r^2 h}{3}}=20\pi&\qquad \qquad \stackrel{\textit{volume of a cylinder}}{\pi r^2 h\qquad \implies \qquad 3\left(\cfrac{\pi r^2 h}{3} \right)} \\\\\\ &3(20\pi ) \\\\\\ &60\pi \\\\\\ &\approx 188.5 \end{array}[/tex]
You randomly draw a marble from a bag, record its color, and then replace it. You draw a blue marble 3 out of 50 times. What is the experimental probability that the next marble will be blue?
The graph below shows interest charges accrued on 4 different credit cards. Based on the graph, which credit card appears to have an introductory APR? A. Card 1
B.Card 2
C. Card 3
D.card 4
Answer:
The correct option is D.card 4
Step-by-step explanation:
Consider the provided graph.
The introductory APR is a discounted interest rate which credit card companies frequently give new customers after opening an account for a fixed number of months. Most credit cards on payments, balance transfers or both offer discounted APRs.
The graph of card 4 is showing that the interest rate in Jan to Apr was lower, after Apr the interest rate increase with different slope.
Therefore, the correct option is D.card 4
Answer:
Card 4 i think
Step-by-step explanation:
Evaluate the function for the indicated values of x.
f(−10) =
f(2) =
f(−5) =
f(−1) =
f(8) =
Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
This is relatively simple if you understand the concept. All you have to do is take each number and then look at each inequality to see where it fits.
For example, if you take 2 and look at the first inequality, you see that 2 is not less than or equal to 5. Now if you look at the second inequality, you see that 2 is both greater than -5 and less than 5. Since 2 fits in the second inequality, you plug it into the second equation.
These functions where you have to see where the x-value fits are called piecewise functions and you will see them a lot in higher level math.
(disclaimer: I evaluated the numbers quickly, so I would doublecheck it, but I am pretty sure I didn't mess up)
Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
The domain for x is all real numbers (without restrictions). For instance, if f(x) = x^2, on -5 < x < 5, on negative x, you must use f(x) = (-1)^2 to get 1.
If x is >= 5, then the range is 3 - x, so f(x) = 3 - x, if x >= 5.
If x is <= -5, then the range is 2x + 1, so f(x) = 2x + 1, if x <= -5.
How do I solve this?
Answer:
The answer is D
Step-by-step explanation:
all you have to do is trace the triangle and see/.
The correct answer is D my baby
please help!!!!!!!!!
The answer is:
C. [tex]\frac{x-\sqrt{5x}}{x-5}[/tex]
Why?Since we have rational numbers on both numerator and denominator, we need to rationalize (simplify) using the conjugate method on the denominator, for this case, the conjugate will be the same expression changing the positive sign "+" to a negative sign "-". Conjugate method means that we need to multiply and divide for the same term in order to not affect the expression.
Also, for solving this problem, we need to remember the following:
[tex]a^{2}-b^{2}=(a+b)(a-b)[/tex]
And,
[tex]\sqrt[n]{a}*\sqrt[n]{b}=\sqrt[n]{a*b}[/tex]
So, the conjugate for the expression will be:
[tex]\sqrt{x}-\sqrt{5}[/tex]
Applying the conjugate for the expression, we will have:
[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}}*\frac{\sqrt{x}-\sqrt{5}}{\sqrt{x}-\sqrt{5}}=\frac{\sqrt{x}*\sqrt{x} -\sqrt{x}*\sqrt{5}}{(\sqrt{x})^{2}-\sqrt{x}*\sqrt{5}+\sqrt{5}*\sqrt{x}-(\sqrt{5})^{2}}\\\\\frac{(\sqrt{x})^{2}-\sqrt{5x}}{x-5}=\frac{x-\sqrt{5x}}{x-5}[/tex]
So, the rationalized form of the expression is:
[tex]\frac{x-\sqrt{5x}}{x-5}[/tex]
Have a nice day!
Solve for R. What will be the answer PV=nRT
Answer:
R = PV / nT
Step-by-step explanation:
PV = nRT solve for R
rewrite
nRT = PV
Divide both sides by nT
nRT / nT = PV / nT
Simplifying
R = PV / nT
First option is the answer
what are complex numbers?
Answer:
Pie is a complex number?
Step-by-step explanation:
3.14159265358979323846264338327950288419716939937510582097494459230781640628..............................
Answer:
2 + 3i is a complex number
Step-by-step explanation:
a complex number is a number of the form a + bi, where a and b are real numbers and i is an indeterminate satisfying i2 = −1. For example, 2 + 3i is a complex number.
Which is an example of a function?
A. The cost of a small dish of ice cream at an ice cream parlor and the height of the customer.
B. The time you spend at the library and the distance to the library.
C. The time it takes to drive to the ski resort and the speed drive.
D. The price of a one-year magazine subscription and the age of the subscriber.
the answer is a.cause a function is a mapping from a set of input to the output
HELP PLS ANSWER ASAP DUE TOMARROW
Answer:
they need to sell 15,000 because 42 percent of 15,00 is 6,300+2500=800
the inequality should be. 2500+0.42s≥8,800
and the number line should have a closed point on 15,000 with the line pointing to the right
The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?
So
an=an+b
14=4a+b and a=-8
14=-32+b
b= 46
an=-8n+46
Answer with Step-by-step explanation:
[tex]a_{4}=14[/tex]
Each term of the sequence is 8 less than the previous term
⇒ [tex]a_{3}=14+8=22[/tex]
⇒ [tex]a_{2}=22+8=30[/tex]
⇒ [tex]a_{1}=30+8=38[/tex]
In general [tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]
Hence, recursive formula representing the situation is:
[tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]
According to the bar graph, what is the unit of measurement for the experiment?
A) cent
B) gain
C) loss
D) toss
Answer:
Toss
Step-by-step explanation:
I just did the problem.
Find the mean absolute deviation. Round to the tenth
Answer:
1) 1.8 round to tenths
Step-by-step explanation:
To find the mean absolute deviation we follow these steps:
Find the mean value by adding all data values and dividing by number of data valuesFind the absolute value of the difference between each data value and the mean: | data value – mean. | Divide the sum of the absolute values of the differences by the number of data values1) 4,5,10,8,4,8,7,6
step 1
4+5+10+8+4+8+7+6 / 8 = 6.5
Mean (μ): 6.5
step 2
|4-6.5| + |5-6.5| + |10-6.5| + |8-6.5| + |4-6.5| + |8-6.5| +|7-6.5| + |6-6.5| = 14
step 3
14 / 8 = 1.75
Repeat these steps for other parts.
I don’t understand this. Triangles abc and pqr are given. Triangle abc is congruent to pqr by sas. If angle abc=12x+2, angle pqr= 142-2x, ....
Answer:
The true statements:
- AB = 8
- x is seven units greater than y
- m∠ABC = 122°
Step-by-step explanation:
* One case of congruence is SAS that means
- If two sides and including angle between them in the first
triangle equal to the corresponding sides and angle in the
second triangle, then the two triangles are congruent
* In the problem
- Triangle ABC is congruent to triangle PQR using SAS case
* That means
- AB = PQ
- BC = QR
- m∠ABC = m∠PQR
- Where angle ABC including angle between AB and BC
and angle PQR is the including angle between PQ and QR
* Now we will use the information about the lengths of AB
and PQ to find y, and use the measures of angles ABC and
PQR to find x and then chose the correct answer
∵ m∠ABC = 12x + 2
∵ m∠PQR = 142 - 2x
∵ m∠ABC = m∠PQR
∴ 12x + 2 = 142 - 2x ⇒ collect the like terms
∴ 12x + 2x = 142 - 2
∴ 14 x = 140 ⇒ divide both sides by 14
∴ x = 10
* Lets substitute this value of x to find the m∠ABC and m∠PQR
- m∠ABC = 12(10) + 2 = 120 + 2 = 122°
- m∠PQR = 142 - 2(10) = 142 - 20 = 122°
∵ AB = 5y - 7
∵ PQ = 3y - 1
∵ AB = PQ
∴ 5y - 7 = 3y - 1 ⇒ collect the like terms
∴ 5y - 3y = -1 + 7
∴ 2y = 6 ⇒ divide both sides by 2
∴ y = 3
* Lets substitute this value of y to find the AB and PQ
- AB = 5(3) - 7 = 8 units
- PQ = 3(3) - 1 = 8 units
* Lets check the answer to chose the right answer
- 1st answer ⇒ AB = 8 (√)
- 2nd answer ⇒ m∠PQR = 140° (x)
- 3rd answer ⇒ y = 1 (x)
- 4th answer ⇒ x is seven units greater than y (√)
( x = 10 and y = 3 then x - y = 10 - 3 = 7)
- 5th answer ⇒ m∠ABC = 122° (√)
- 6th answer ⇒ PQ = 3 (x)
Answer:
A
D
E
Step-by-step explanation:
is 6/15 equivalent to 2/3
what is the measure of each angle of a non agon (Regular)
[tex]\bf \textit{sum of all interior angles in a regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\textit{number of sides}\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n=9 \end{cases}\implies 9\theta =180(9-2) \\\\\\ 9\theta =1260\implies \theta =\cfrac{1260}{9}\implies \theta =140[/tex]
How do I find the perimeter?
Answer:
8x³ - 5x² + 8x
Step-by-step explanation:
to solve the perimeter, you need to add all sides of the triangle together.
8x² + x³ + 2x² + 7x³ - 3x² + 6x
now, code all the similar variables:
8x² + x³ + 2x + 7x³ - 3x² + 6x
8x² - 3x² = 5x²
x³ + 7x³ = 8x³
2x + 6x = 8x
so, put them all together:
5x² + 8x³ + 8x
but remember that the larger exponent comes first(just a rule)
so, it is : 8x³ - 5x² + 8x
plz give me a brainliesttt
! URGENT !
-1 3/5 ÷ (-2/3) = ?
Convert 1 3/5 to an improper fraction;
-1 × 5 + 3/5 ÷ -2/3
Simplify 1 × 5 to 5
-5 + 3/5 ÷ -2/3
Simplify 5 + 3 to 8
-8/5 ÷ -2/3
Use this rule: a ÷ b/c = a × c/b
-8/5 × 3/-2
Use this rule; a/b × c/d = ac/bd
-8 × 3/5 × - 2
Simplify 8 × 3 to 24
-24/5 × -2
Simplify 5 × -2 to -10
- 24/-10
Move the negative sing to the left
-(-24/10)
Simplify 24/10 to 12/5
-(-12/5)
Simplify brackets
12/5
Convert to a mixed fraction
= 2 2/5
PLEASE PLEASE HELP WILL GIVE POINTS AND MARK BRAINLIEST
Answer:
.167 is irrational.
2/9 is rational.
pi is irrational.
sqrt225 is rational.
Step-by-step explanation:
Why .167 is irrational because it is a decimal.
2/9 is rational because it is a fraction.
pi is irrational because it is a repeating decimal that goes on forever.
Why the sqrt225 is ration is because it comes out as a whole number 15 so it is rational.
Answer:
Step-by-step explanation:
i think the first one is ratinol the second one is ratinol the trid one is irratinol and the last one is irratinol hope i get brainlist witch will never happen any way hope this helps
Jamal performed an experiment flipping a coin. He did 10 trials and then his arm got tired. He recorded his results in the table. Based on the experimental probability, Jamal predicted that the number of times the coin lands heads up will always be greater than the number of times it lands tails up. What is the error in his prediction? He should have performed fewer trials before comparing them to the theoretical probability. He did not need to perform the experiment to compare theoretical and experimental probabilities. He should have subtracted the theoretical probability from the experimental probability. He did not perform enough trials to compare the theoretical and experimental probabilities.
Answer: ((( D )))He did not perform enough trials to compare the theoretical and experimental probabilities.
Step-by-step explanation:
Answer:
d on edu 2020
Step-by-step explanation:
#3. Find the area of the triangle. Round to 2 decimal places. Thanks.
Answer:
C
Step-by-step explanation:
The area (A) of the triangle is calculated using
A = [tex]\frac{1}{2}[/tex] ab sinC
where a, b are the 2 sides and C is the angle between them
here a = 6, b = 2 and C = 80°, hence
A = 0.5 × 6 × 2 × sin80° = 5.91 cm² → C
Flora’s car is 59/100 meters longer than Sally’s car.Sally’s car is 2/10 of a meter longer then Trevor’s car.how many longer is flora’s car than trevor’s car?
Flora's car is 79/100 meters longer than Trevor's car after adding the separate differences between Flora's car and Sally's and Sally's car and Trevor's.
To find out how much longer Flora's car is than Trevor's, we need to add the two differences mentioned:
Flora's car is 59/100 meters longer than Sally’s car.
Sally’s car is 2/10 of a meter (20/100 when having a common denominator with 59/100) longer than Trevor’s car.
First, we express 2/10 as 20/100 to have a common denominator with 59/100 for easier addition:
59/100 + 20/100 = 79/100
Now we add the two lengths to determine how much longer Flora’s car is than Trevor's.
79/100 meters
Therefore, Flora's car is 79/100 meters longer than Trevor's car.
find the slope of the line throught each points (-19,1),(-1,-14)
Answer:
[tex]\large\boxed{m=-\dfrac{5}{6}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-19, 1) and (-1, -14). Substitute:
[tex]m=\dfrac{-14-1}{-1-(-19)}=\dfrac{-15}{18}=-\dfrac{15}{18}=-\dfrac{5}{6}[/tex]
Plz help got it wrong show work plz
Answer: C) $1951.53
Step-by-step explanation:
[tex]A=P(1+r)^{t}[/tex]
A is amount accrued (final balance)P is the Principal (original amount deposited)r is the rate (in decimal form)t is the number of yearsA=1500(1+0.068)⁴
= 1500(1.068)⁴
= 1951.53
convert 0.00687 into scientific notation
Answer:
6.87^-3
Step-by-step explanation:
Answer:
6.87 x 10-3
Step-by-step explanation:
In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).
If g(x) is the inverse of f(x), what is the value of f(g(2))?
Answer:
2
Step-by-step explanation:
If g(x) is the inverse of f(x)
f(g(x)) =x
This is the property of inverses.
Let x=2
f(g(2))=2
Answer:
C: 2
Step-by-step explanation:
its right on edg 2020
I tried to solve this but I still don’t understand
Answer:
B
Step-by-step explanation:
given
f(x) = 3x + 2
To evaluate f(5) substitute x = 5 into f(x) that is
f(5) = (3 × 5 ) + 2 = 15 + 2 = 17 → B
2d - 5 = 17
what is the value of d ?
2d-5=17
+5 +5
2d=22
*divide by 2 on each side
*2d cancels out
* 22 divided by 2d
The value of d=11
Triangle ABC ≅ DEF. Each side of triangle ABC is 1.5 times longer than the corresponding sides of triangle DEF. If the perimeter of triangle ABC is 36 centimeters, what is the perimeter of triangle DEF?
Answer:
Step-by-step explanation:
see attachment
Final answer:
The perimeter of triangle DEF is 24 centimeters.
Explanation:
The perimeter of a triangle is the sum of the lengths of its three sides. In this case, triangle ABC is congruent to triangle DEF, and each side of triangle ABC is 1.5 times longer than the corresponding side of triangle DEF. Let's assume the lengths of the corresponding sides of triangle DEF are x, y, and z. Therefore, the lengths of the corresponding sides of triangle ABC are 1.5x, 1.5y, and 1.5z.
Since the perimeter of triangle ABC is 36 centimeters, we can set up the equation as follows: 1.5x + 1.5y + 1.5z = 36. Simplifying the equation, we get x + y + z = 24. This means the perimeter of triangle DEF is 24 centimeters.
What is the equation of the following line written in slope-intercept form?
A) y = 2/3 x - 13/3
B) y = 3/2x - 13/3
C) y = -2/3x - 13/3
Answer:
The correct answer option is C) y = -2/3x - 13/3.
Step-by-step explanation:
We are given a straight line graph with one known point and we are to find its equation.
We will take one more point on the line to find the slope.
(-5, -1) and (-2, -3)
Slope (m) = [tex]\frac{-3-(-1)}{-2-(-5)} =-\frac{2}{3}[/tex]
Now finding the y-intercept:
[tex]y=mx+c[/tex]
[tex]-1=-\frac{2}{3} (-5)+c[/tex]
[tex]c=-\frac{13}{3}[/tex]
Therefore, the equation of this line is y = -2/3x - 13/3.
Answer:Answer:
The correct answer option is C) y = -2/3x - 13/3.
Step-by-step explanation:
We are given a straight line graph with one known point and we are to find its equation.
We will take one more point on the line to find the slope.
(-5, -1) and (-2, -3)
Slope (m) =
Now finding the y-intercept:
Therefore, the equation of this line is y = -2/3x - 13/3.
Step-by-step explanation: Please mark me brainliest PLEASE !!!!!!!!!!!!!!!!!!!
solve this equation
5(-7x-3)- 8x=-230
Simplifying
5(7x + -3) = 230
Reorder the terms:
5(-3 + 7x) = 230
(-3 * 5 + 7x * 5) = 230
(-15 + 35x) = 230
Solving
-15 + 35x = 230
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 35x = 230 + 15
Combine like terms: -15 + 15 = 0
0 + 35x = 230 + 15
35x = 230 + 15
Combine like terms: 230 + 15 = 245
35x = 245
Divide each side by '35'.
x = 7
Simplifying
x = 7