Find the distance between (0, -8) and (3, -2). Express your answer as a simplified radical, if possible.
O 5√3
O22.5
O √45
O 3√5
Answers
Answer:
3√5
Step-by-step explanation:
You use the Distance Formula to solve this.
d=√(x2-x1)^2 + (y2-y1)^2
Plug in your points.
d=√(3-0)^2 + (-2- -8)^2
Subtract and square.
d=√9 + 36
Add
d=√45
The square root of 45 is 6.70, so you would look for radicals.
3√5 is 45. <3
Related Questions
Milene é doceira e a seguir está uma representação dos bombons que ela fez no dia. Do total dos bombons que fez 2/3 são de coco. Escreva a quantidade que representa os bombons de coco. *finja que aqui tem 24 bombons*
Answers
Answer:
16 bombons de coco
Step-by-step explanation:
A partir da pergunta, somos instruídos a fingir que o número total de bombons (chocolate) que ela fez = 24 bombons
Do total de chocolates que ele fez, 2/3 são de coco.
Portanto, a quantidade que representa os doces de coco é representada como:
2/3 × 24
= 16
Portanto, a quantidade de bombons de coco = 16
Balena has a garden in the shape of a circle of radius 10 m.
He is going to cover the garden with grass seed to make a lawn.
Grass seed is sold in boxes.
Each box of grass seed will cover 46 m' of garden.
Balena wants to cover all the garden with grass seed.
Work out an estimate for the number of boxes of grass seed Balena needs.
Show your working out.
Answers
Answer:
7
Step-by-step explanation:
→ Work out area of circle
π × 10² = 100π = 314.159 (3 decimal places)
→ Divide area of circle by box area
314.159 ÷ 46 = 6.8295
→ Round answer as you can't get a decimal of a box
7
The area of a circle is given as πr².
The number of boxes of grass seeds required to cover the garden is 9 boxes.
What is a circle?A circle is a round-shaped figure that has no corners or edges.
The area of a circle is given as:
Area = πr²
We have,
The radius of the circle = 10 m
Area of the garden:
= πr²
We can take,
π = 22/7 = 3.14
= 3.14 x 10 x 10
= 314 m²
The area of a box of grass seeds:
= 46 m²
The number of boxes of grass seeds to cover the garden area:
= 314 / 46
= 6.8 boxes
Thus,
The number of boxes of grass seeds required to cover the garden is 9 boxes.
Learn more about circle here:
https://brainly.com/question/24293810
#SPJ2
uppose that a certain data set contains the variable HEIGHT (giving a person's height) and the variable GENDER (coded O=female, 1=male). Then the y-intercept of the regression equation predicting HEIGHT from GENDER is given by: Select one: a. how much shorter females are than males, on average. b. how much taller males are than females, on average. c. the average height of females in the data set. d. the average height of males in the data set. e. the proportion of females in the data set. f. the proportion of males in the data set. g. it is not appropriate to interpret the y-intercept in this case.
Answers
The data set contains the variable height (giving a person's height) and the variable gender (coded O=female, 1=male). Then the y-intercept of the regression equation predicting height from gender is given by: option c) the average height of females in the data set.
The y- intercept of a direct retrogression relationship represents the value of one variable when the value of the other is zero. Non-linear retrogression models also live, but are far more complex. Retrogression analysis is a important tool for uncovering the associations between variables observed in data, but can not fluently indicate occasion. The data set contains the variable height (giving a person's height) and the variable gender (enciphered O = womanish, 1 = manly). also the y- intercept of the retrogression equation prognosticating height from gender is given by option c) the average height of ladies in the data set.
To learn more about y-intercept, click here:
brainly.com/question/14180189
#SPJ4
if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is convergent.T/F
Answers
If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.
This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.
If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.
Then, we have:
0 ≤ Sn ≤ M1 for all n (Sn is bounded)
0 ≤ Tn ≤ M2 for all n (Tn is bounded)
Now, let's consider the partial sums of the series ∑an∑bn:
Pn = a1(T1) + a2(T2) + ... + an(Tn)
Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.
Using the properties of the partial sums, we have:
0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)
Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.
Therefore, the given statement is True.
learn more about convergent series here : brainly.com/question/32202517
#SPJ11
Which is true about the solution to the system of inequalities shown?
ys-x-1
y≤-x-3
All values that satisfy y ≤
All values that satisfy y ≤
x − 1 are solutions.
x-3 are solutions.
-5-4-3-2-1.
77
Answers
The statement true about the system of inequalities solution is option A, all the values of satisfy y ≤ 1/3x -1.
What is system of inequalities?One or more linear inequalities in each of the same two variables make up a system of linear inequalities in two variables. A linear inequality's solution is an ordered pair that resolves all of the system's inequalities, and the inequality's graph is a representation of all of the system's solutions.
Given the graph of the system of inequalities we can see that the inequality y ≤ 1/3x -1, comprises of all the values under the blue shaded region. This region also includes the graph of the second inequality.
Hence, option A is correct as all the values of satisfy y ≤ 1/3x -1.
Learn more about linear inequality here:
https://brainly.com/question/11897796
#SPJ1
need help asap. low geometry grade
Answers
Answer:
x=9.3
Step-by-step explanation:
use SohCahToa
in this case u use cos
cos(41°)=7/x
x=7/cos(41)
x=9.275090953
x=9.3
Solder-less lugs are quoted at $4.25 each less 40% for standard packages of 100 (quote includes the 40 percent discount). What will be the cost if only 22 are ordered at list price less 35%
Answers
The cost of ordering 22 solder-less lugs at the list price less 35% will be $101.20.
Solder-less lugs are priced at $4.25 each, including a 40% discount when purchased in standard packages of 100. To find the original price without the discount, we'll first calculate the price before the 40% discount:
$4.25 / (1 - 0.40) = $4.25 / 0.60 = $7.08 (rounded to 2 decimal places)
Now, if you only need 22 solder-less lugs and are eligible for a 35% discount, we'll calculate the discounted price for each lug:
$7.08 * (1 - 0.35) = $7.08 * 0.65 = $4.60 (rounded to 2 decimal places)
Finally, to find the total cost for 22 solder-less lugs with a 35% discount, we'll multiply the discounted price by the quantity ordered:
$4.60 * 22 = $101.20
To learn more about discounted price click here
brainly.com/question/19867145
#SPJ11
find the value of x. (picture)
Answers
Answer:
x = 23
Step-by-step explanation:
Remember, angles in a triangle add up to equal 180
That being said we can create an equation to solve for x
180 = 110 + 35 + x + 12
now we solve for x
step 1: combine like terms
110 + 35 + 12 = 157
now we have 180 = 157 + x
step 2 subtract 157 from each side
180 - 157 = 23
157 - 157 cancels out
we're left with x = 23
HELP I NEED HELP ASAP
Answers
Answer:
d.
Step-by-step explanation:
Answer:
option c I guess - "It increases exponentially "
Divide f(x) by d(x). Your answer
should be in the following format:
f(x)
d(x)
f(x)
d(x)
=
=
Q(x) +
R(x)
d(x)
x³ + 2x² - 72x - 28
x-8
R(x) = [?]
Only enter the R(x) term.
Answers
The value of R(x) term is 36.
We are given that;
The equation x³ + 2x² - 72x - 28
Now,
We divide the first term, 8x, by the first term of d(x), which is x. This gives us 8, which is the third term of Q(x). We write 8 above the division bar and multiply it by d(x), which gives us 8x - 64. We subtract this from the new dividend, which gives us 36.
Since we cannot divide 36 by x-8 any further, we stop here and write 36 as the remainder R(x).
x² + 10x + 8
_______________
x-8 | x³ + 2x² - 72x - 28
- (x³ - 8x²)
-------------
10x² - 72x
- (10x² -80x)
-------------
8x -28
- (8x -64)
----------
36
Q(x) = x² + 10x + 8 and R(x) = 36.
Therefore, by the equation the answer will be R(x) = 36.
To learn more about equations :
brainly.com/question/16763389
#SPJ1
An arithmetic sequence begins with −36, −30, −24, −18, −12 …
Which option below represents the formula for the sequence?
f(n) = −36 + 6(n−1)
f(n) = −36 − 6(n−1)
f(n) = −36 + 6(n+1)
f(n) = −36 − 6(n+1)
Answers
The correct formula for this arithmetic sequence is f(n) = -36 + (n-1)6. Thus, the answer is option A: f(n) = −36 + 6(n-1).
The common difference between any two consecutive terms in an arithmetic sequence is the same. In this sequence, we can observe that each term is obtained by adding 6 to the previous term. Therefore, the common difference is 6.
Now, we can use the formula for an arithmetic sequence to find the nth term of the sequence:
f(n) = a + (n-1)d
where a is the first term and d is the common difference.
In this case, the first term is -36 and the common difference is 6. Thus, the formula for the nth term of this arithmetic sequence is:
f(n) = -36 + (n-1)6
Therefore, the correct formula for this arithmetic sequence is f(n) = -36 + (n-1)6. Thus, the answer is option A: f(n) = −36 + 6(n+1).
To learn more about sequence click on,
https://brainly.com/question/31509532
#SPJ1
evaluate a+6 for a=10
Answers
Answer:
a + 6 = 16
or
10 + 6 = 16
Hope this helps! Please mark Brainliest!
Answer: the answer is 16
Step-by-step explanation:
help pls Find the cost of fencing a rectangular park 300 m long and 200 m wide at the rate
of Rs 4 per metre.???
Answers
(Let's assume it's Rs 4 per metre squared, I think you just wrote it wrong.)
The area of the rectangular park is : 300 x 200 = 60000 (m2)
Every m2 = Rs 4, so it will take 60000 x 4 = Rs 240000 to fence the entire park.
19. A car rental agency charges $250 per week plus $0.45 per mile to rent a car. How many miles can you
travel in week for $587.50? Let x represent the number of miles travelled.
Answers
X = 750
AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
Answers
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
for such more question on measure of arc
https://brainly.com/question/25716982
#SPJ8
Round each value TENS Hundreds Thousands 676 5675 7641 13086 15 367 12758 92071 65289
Answers
--------------------------------------
\(\begin{gathered} 5675\colon \\ Teens=5680 \\ Hundreds=5700 \\ Thousands=6000 \end{gathered}\)---------------------------------------------------------
\(\begin{gathered} 7641\colon \\ Teens=7640 \\ Hundreds=7600 \\ Thousands=8000 \end{gathered}\)---------------------------------------------------------
\(\begin{gathered} 13086\colon \\ Teens=13090 \\ Hundreds=13100 \\ Thousands=13000 \end{gathered}\)--------------------------------------------------------
\(\begin{gathered} 15367\colon \\ Teens=15370 \\ Hundreds=15400 \\ Thousands=15000 \end{gathered}\)-----------------------------------------------
\(\begin{gathered} 12758\colon \\ Teens=12760 \\ Hundreds=12800 \\ Thousands=13000 \end{gathered}\)-------------------------------------------
\(\begin{gathered} 92071\colon \\ Teens=92070 \\ Hundreds=92100 \\ Thousands=92000 \end{gathered}\)----------------------------
\(\begin{gathered} 65289\colon \\ Teens=65290 \\ Hundreds=65300 \\ Thousands=65000 \end{gathered}\)Use Horner's algorithm to find p(4), where p(z) = 325 – 724 – 57'+z? -- 8z +2 2.
Answers
Using Horner's algorithm, it is found that p(4) = 946.
Horner's algorithm is a method used to evaluate a polynomial at a given value of x. It simplifies the process of calculating the value of the polynomial by reducing the number of calculations needed. To use Horner's algorithm to find p(4), where p(z) = 3z^5 – 7z^4 – 5z^3+z^2- 8z +2, follow these steps:
p(4) = 3(4)^5 – 7(4)^4 – 5(4)^3+(4)^2- 8(4) +2
p(4) = 3(4)^5 – 7(4)^4 – 5(4)^3+(4)^2- 8(4) +2
p(4) = 3(1024) – 7(256)– 5(64) + 16 - 32 +2
p(z) = 3072– 1792 – 320 + 16 - 30
p(z) = 1280 – 320 - 14
p(z) = 960 - 14
p(z) = 946
Therefore, p(4) = 946.
You can learn more about Horner's algorithm at
https://brainly.com/question/30547979
#SPJ11
You flip a 3 coins 50 times, and flipping 3 tails occurs 6 times, flipping 3 heads occurs 7 times.
A. What is the theoretical probability that you flip 3 heads
B.What is the theoretical probability that you flip leas than 3 heads
Answers
Hello!
Answer:
A. The theoretical probability of flipping 3 heads on one flip of three coins is (1/2) * (1/2) * (1/2) = 1/8. Since you flipped three heads 7 times out of 50, the experimental probability of flipping 3 heads is 7/50.
B. To calculate the theoretical probability of flipping less than 3 heads, we can calculate the probability of flipping 0, 1, or 2 heads and add them together. The probability of flipping 0 heads is (1/2) * (1/2) * (1/2) = 1/8, since all three coins must come up tails. The probability of flipping 1 head is (1/2) * (1/2) * (1/2) * 3 = 3/8, since there are three ways to get one head (HTT, THT, TTH). The probability of flipping 2 heads is (1/2) * (1/2) * (1/2) * 3 = 3/8, since there are three ways to get two heads (HHT, HTH, THH). Therefore, the theoretical probability of flipping less than 3 heads is:
1/8 + 3/8 + 3/8 = 7/8.
So the theoretical probability of flipping less than 3 heads is 7/8.
Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample A in meters? Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample B in meters? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively?
Answers
1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters
2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters
Since we know that the wavelength = speed of light / frequency
The speed of light is 3.00 × \(10^8\) meters per second.
For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;
wavelength of A = (3.00 × \(10^8\) m/s) / (4.30 × 10^15 Hz)
wavelength of A = 6.98 × \(10^{-8}\) meters
For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;
wavelength of B = (3.00 × \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)
wavelength of B = 3.45 × \(10^{-11}\) meters
Learn more about wavelength:
brainly.com/question/31143857
#SPJ4
Guys can you please help. I dont understand. Thank you. :))))
Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.
Answers
Answer: 112.5
Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.
*PLEASE ANSWER, NEED HELP* Which of the following is not a type of probability model? a.) A systematic list b.) An area model c.) A spinner d.) A tree diagram
Answers
Answer:
I think a spinner is not a type of probability model.
I am not sure tho
Option (c) A spinner is not a probability model
What is Probability model?A probability model is a mathematical representation of a random phenomenon.
Here,
In systematic list, the outcomes for an event can be listed in an organized or systematic way to make sure that none of the possible outcomes is missed out.
In area model, area models can be used to represent simple probabilities.
A probability tree diagram is used to represent the probability of occurrence of events without using complicated formulas.
But spinner is not a probability model.
Hence, option (D) Spinner is not a probability model
Learn more about Probability model here
https://brainly.com/question/9965602
#SPJ2
ASAP answer it please.!!!!!!!!!!!!!!!!!!! thank uuu
Answers
Answer:
X=120 and y=10,z=120
Step-by-step explanation:
corresponding angles
thus 120=(13y-10)=x
if you are multiplying the same base with exponents
Answers
Answer:
you simply add the exponents
11. If mNJ = "
170", mMK = (5x + 8), and mZMLK = (4x + 3)", find mZMLK.
,
M
o
K
Answers
Answer:
∠ MLK = 51°
Step-by-step explanation:
the secant- secant angle MLK is half the difference of the measures of the intercepted arcs , that is
∠ MLK = \(\frac{1}{2}\) ( NJ - MK ) ← substitute values
4x + 3 = \(\frac{1}{2}\) (170 - (5x + 8) ) ← multiply both sides by 2 to clear the fraction
8x + 6 = 170 - 5x - 8
8x + 6 = 162 - 5x ( add 5x to both sides )
13x + 6 = 162 ( subtract 6 from both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Then
∠ MLK = 4x + 3 = 4(12) + 3 = 48 + 3 = 51°
please helppp!! ill give brainliest <333
Answers
Answer: Area: \(D. 32\frac{6}{20}\)
Step-by-step explanation:
Step 1: Convert the Expressions
\(4\frac{3}{4}*6\frac{4}{5}\)
\(\frac{19}{4}*\frac{34}{5}\)
Step 2: Reduce the Numbers
\(\frac{19}{4}*\frac{34}{5}\)
\(\frac{19}{2}*\frac{17}{5}\)
Step 3: Multiply
\(\frac{19}{2}*\frac{17}{5}\)
\(\frac{323}{10}\)
Step 4: Simplify
\(\frac{323}{10}\)
\(32\frac{6}{20}\)
Please mark brainliest if this helped! :)
WHAT IS 8901 times 45378 Noo linkes
Answers
Answer:
403909578
Step-by-step explanation:
for numbers 19 and 20 you have to solve for the missing angle.
Answers
Answer:19. 17 degrees
20. 49 degrees
Step-by-step explanation:
Because of the postulate 50+?=67
So ?=17
And 20.
94+?=143
So
?=49
(Edit)I though you only meant 19 and 20
21. X=8
22. X=12
23.x=8
24.x=7
In a bag of 10 marbles, there are 4 blue, 3 red, 2 green,
and 1 yellow. What is the probability that you draw one
marble that is blue, replace it, and draw another marble
that is red?
Enter your answer as a fraction in lowest terms. Do not add
spaces to your answer. (EX: 1/2)
Answers
Answer: 1/8
Step-by-step explanation:
solve three and four fifths plus one and one third equals blank.
six and two fifteenths
five and five fifteenths
five and two fifteenths
four and five eighths
Answers
5 and 2 fifteenths
Step-by-step explanation:
3 and 4/5 can go to 3 and 12/15 and 1 and 1/3 can go to 1 and 5/15
Answer:
The answer is 5 and 13/100
Step-by-step explanation:
Which statements are true about the expression y + 9
1. The letter y is a variable
2. The letter y is a constant
3. The letter y is a term
4. The number 9 is a constant
5. The number 9 is a variable
6. The number 9 is a term
Choose all that apply
Answers
2. ❌
3. ✅
4. ✅
5. ❌
6. ✅
The correct option is statement 1 and statement 4. The letter y is a variable and the number 9 is a constant
What is an expression?Mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given the expression y + 9. The terms will be noted as:-
E = y + 9
Here y is the variable and 9 is a constant term in the given expression.
Therefore, the correct option is statement 1 and statement 4. The letter y is a variable and the number 9 is a constant.
To know more about an expression follow
https://brainly.com/question/20612530
#SPJ2