Answer:
A
Step-by-step explanation:
Equation of the line A
(y+7)/(17+7) = (x+3)/(3+3)
(y+7)/24 = (x+3)/6
y+7 = 4x + 12
y = 4x + 5
y intercept = 5
Function B
y intercept = -2
Which summation properties or formulas must be used to evaluate this summation? Check all that
apply
Given:
Summation problem is:
[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]
To find:
The properties or formulas must be used to evaluate the given summation.
Solution:
We have,
[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]
In can be rewritten as:
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n[/tex] [tex]\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right][/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}[/tex] [tex]\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right][/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=396900+630[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=397530[/tex]
Therefore, the properties and formula used are:
[tex]\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2[/tex]
Answer: see attachment below
Step-by-step explanation:
The y value is two less than twice the x-value
A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) in each suit. If you are dealt exactly two cards from the deck without replacement, what is the probability that you are dealt a pair (matching cards in different suits)
Answer:
P(a pair with matching cards in different suits) = 1/52
Step-by-step explanation:
We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.
Thus;
Probability of selecting one card of a particular suit = 13/52 = 1/4
If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.
Thus; probability = 3/39 = 1/13
Thus;
P(a pair with matching cards in different suits) = 1/4 × 1/13
P(a pair with matching cards in different suits) = 1/52
Delia bought 32 fluid ounces of fruit juice. How many gallons of juice did she buy?
A. 1
B. 0.5
C. 0.25
D. 0.2
Answer:
the answer is C. 0.25.
Step-by-step explanation:
simply converting the fluid oz into gallons.
HELP THIS IS FOR MY FINAL GRADE
Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?
Answer:
Ida makes $ 6960 in 5 weeks.
Step-by-step explanation:
Let the profit of the first week is p.
p = $ 600
Total profits of the five weeks
= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)
= 11 p + 0.6 p
= 11 x 600 + 0.6 x 600
= 6600 + 360
= $ 6960
So, Ida makes $ 6960 in 5 weeks.
[tex] {x}^{2} + \sqrt{x} + \sqrt[5]{x} [/tex]
what is f'(3) of this equation?
Answer:
[tex]3 + \frac{1}{2\sqrt{3} } + \frac{1}{5\sqrt[5]{81} }[/tex]
Step-by-step explanation:
Just to make it easier to see, [tex]\sqrt{x} = x^{\frac{1}{2} }[/tex] and [tex]\sqrt[5]{x} = x^{\frac{1}{5} }[/tex] This way we could more easily use the power rule of derivatives.
So if f(x) = [tex]x^{2} +x^{\frac{1}{2} } +x^{\frac{1}{5} }[/tex] then f'(x) will be as follows.
f'(x) = [tex]x^{1} +\frac{1}{2} x^{-\frac{1}{2} } +\frac{1}{5} x^{-\frac{4}{5} } = x +\frac{1}{2x^{\frac{1}{2} }} +\frac{1}{ 5x^{\frac{4}{5} }} = x +\frac{1}{2\sqrt{x}} +\frac{1}{ 5\sqrt[5]{x^4} }[/tex]
to find f'(3) just plug 3 into f'(x) so [tex]3 + \frac{1}{2\sqrt{3} } + \frac{1}{5\sqrt[5]{81} }[/tex]
what is 5a +14=3(a +2)
Answer:
a=-4
Step-by-step explanation:
See image below:)
Find the surface area of the prism. 13 in. 3 in 7 in.
Answer:
182+78+42=302 ... 302's ya answer...Give me brainiest answer to say ty! :)
Step-by-step explanation:
Evaluate [315 + 6) + 2] : 7
23
O
0
03
05
Answer:
323 : 7
Step-by-step explanation:
[ ( 315 + 6 ) + 2 ] : 7
[ 321 + 2 ] : 7
323 : 7
Construct the 90% confidence interval for the proportion of students at the college who have completed their required English 101 course. Enter your answers as decimals (not percents) accurate to three decimal places. The Confidence Interval is
Answer:
The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.
I just need to know what is m=
Answer:
- 2
Step-by-step explanation:
Given :
Point A = (-1, 4)
Point B = (1, 0)
x2 = - 1 ; y2 = 4 ; x1 = 1 ; y1 = 0
Rise = (y2 - y1) = 4 - 0 = 4
Run = (x2 - x1). = - 1 - 1 = - 2
Slope = Rise / Run = 4 / - 2 = - 2
The slope, m = - 2
The quotient of 17 and k
Answer:
17/k
Step-by-step explanation:
Quotient means division
17/k
Answer:
[tex] \frac{17}{k} [/tex]Step-by-step explanation:
Quotient means a result obtained by dividing one quantity by another.
Hope it is helpful...If a equals B andB equals C which statement must be true?
Answer:
A=B=C... wouldn't both B and C be equal to A? Also I can't see the statements.
what are the prime factors of the greatest 4 digit number?
Answer:
The prime factors of the greatest 4 digit number are 3, 11 and 101.
Step-by-step explanation:
Hope it helps
What is the approximate circumference of a circle with a radius of 4?
1. 12.57
2. 25.13
3.50.27
4. 16
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 4.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The approximate circumference of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:≈\:25.13.}[/tex]
2.) 25.13 ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]
[tex] = 2 \times \frac{22}{7} \times 4 \\ \\ = \frac{176}{7} \\ \\ = 25.14[/tex]
Therefore, the circumference of the circle is ≈ 25.13.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
the data below shows.the number of car thefts in a city for a period of 20 days. complete parts (a) and (b) below.
a. draw an ordered stem and leaf plot for the data.
b. revealed when answer a is complete.
Answer:
13 cars per day
Step-by-step explanation:
64 - 51 = 13 cars per day
hope it helps
Use the Pythagorean theorem to find the value for ( show work )
Answer:
x = 12
Step-by-step explanation:
x^2 + (x - 7)^2 = (x + 1)^2
x^2 + x^2 - 14x + 49 = x^2 + 2x + 1
x^2 - 16x + 48 = 0
(x - 4)(x - 12) = 0
x - 4 = 0 or x - 12 = 0
x = 4 or x = 12
One side has length x - 7.
For x = 4, x - 7 = 4 - 7 = -3.
Since a side of a triangle cannot have a negative length, x = 4 must be discarded.
Answer: x = 12
3p(2p - 9) - 2p(-9 + p)
Answer:
4p² - 9p
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
3p(2p - 9) - 2p(-9 + p)
Step 2: Simplify
[Distributive Property] Distribute 3p: 6p² - 27p - 2p(-9 + p)[Distributive Property] Distribute -2p: 6p² - 27p + 18p - 2p²[Subtraction] Combine like terms (p²): 4p² - 27p + 18p[Addition] Combine like terms (p): 4p² - 9p¿Qué pasó en La Noche Triste?
Step-by-step explanation: La Noche Triste (Spanish for "The Sad Night") was a famous battle between the Spanish conquistadors and the Aztecs, a native people of Mexico. ... Between 400 and 800 Spanish soldiers were killed or captured. Between 2,000 and 4,000 native Mexican allies of the Spanish were killed or captured.
Location: Tenochtitlan
End date: July 1, 1520
Date: June 30
Answer: was a famous battle between the Spanish conquistadors and the Aztecs, a native people of Mexico. Between 400 and 800 Spanish soldiers were killed or captured. Between 2,000 and 4,000 native Mexican allies of the Spanish were killed or captured.
Step-by-step explanation:
Please help me!!!!!!!!
Answer:
fraction is 75/100
decimal is 0.75
Step-by-step explanation:
because there are 75 of them that are shaded out if 100 so 75/100 and to find out in decimal 75÷100=0.75.
hope this helps u understand:)
What is the volume of the cylinder shown below?
Your response should show all necessary calculations and diagrams.
Answer:
126cm^2
Step-by-step explanation: brainliest pleaseeee!!!!
Find the difference,
(20m+ 3) - (7m - 5)
A. 27m - 2
B. 13m +8
C. 27m +8
D. 13m - 2
SUBMU
Answer:
B 13m+8
Step-by-step explanation:
(20m+3) - (7m-5)
20m+3-7m+5
13m+8
10) Using Limit Comparison Test (LCT), the following series
+00
M:
-1 + 2n5
n6 + 1
n=1
Compare to the divergent series,
[tex]\displaystyle\sum_{n=1}^\infty\frac1n[/tex]
Then by the limit comparison test, the given series also diverges, since the limit
[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{2n^5-1}{n^6+1}}{\frac1n} = \lim_{n\to\infty}\frac{2n^6-n}{n^6+1}=\lim_{n\to\infty}\frac{2-\frac1{n^5}}{1+\frac1{n^6}}=2[/tex]
is positive and finite.
The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line? 5 m = O A. 4 B. -4 O c. 1 4 D. 4
Answer:
-4
Step-by-step explanation:
If the lines are parallel, then they have the same slope.
If the green line has a slope of -4, then the red line has a slope of -4
pls help me do this question but pls don't get it wrong this is my last attempt
Answer:
y ≤ 5
Step-by-step explanation:
5 is the highest y value in this graph. All other y values are below 5.
A line passes through the point (8. -8) and has a slope of
5/4
Write an equation in slope-intercept form for this line.
Answer:
y = 5/4x - 18
Step-by-step explanation:
The slope, intercept form of a straight line is;
y = bx + c
Where, y = slope, given as 5/4
(x, y) is given as ; (8, - 8)
Hence, we need to obtain the value of c, which is the intercept.
x = 8 ; y = - 8
-8 = 5/4x + c
-8 = 5/4(8) + c
-8 = 10 + c
-8 - 10 = c
-18 = c
Hence, equation becomes ;
y = 5/4x - 18
b b
A jar of her 'low-sugar' jam contains 102 grams of sugar.
What is the percentage of sugar in her 'low-sugar' jam?
Answer:
[tex]\% Low = 30 \%[/tex]
Step-by-step explanation:
Given
[tex]Total = 340g[/tex] -- missing
[tex]Low = 102g[/tex]
Required
% of sugar in Low
This is calculated as:
[tex]\% Low = \frac{Low}{Total} * 100\%[/tex]
So, we have:
[tex]\% Low = \frac{102g}{340g} * 100\%[/tex]
[tex]\% Low = \frac{102}{340} * 100\%[/tex]
[tex]\% Low = \frac{10200}{340} \%[/tex]
[tex]\% Low = 30 \%[/tex]
Can someone please help me:(
[tex]\huge\bf{\color{Green}{Question:}}[/tex]
Find the volume of each solid. Round to the nearest tenth.[tex]\huge\bf{\color{orange}{Solution:}}[/tex]
Volume of the solid given = Volume of the small cone + Volume of the large cone.
[tex]\sf{V(solid)=V(small)+V(large)}[/tex]
[tex]\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3}π(5)²7+\frac{1}{3}π(5)²11}[/tex]
[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(7+11)}[/tex]
[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(18)}[/tex]
[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=150π}[/tex]
[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:≈{\color{magenta}{471.2 in³}}}[/tex]
=======================#Hope it helps you, mate!
(*°∀°)=3
Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 15 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Kyle, Carol, and Adam are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
1 / 1365
Step-by-step explanation:
Given that :
Number of employees to choose from = 15
Number of employees to be chosen = 4
Probability of choosing You, Kyle, Carol and Adam
Recall ;
P(A) = number of required outcome / Total possible outcomes
Number of required outcome = 4C4
Total possible outcomes = 15C4
nCr = n! ÷ (n-r)!r!
Using calculator to save computation time :
15C4 = 1365
4C4 = 1
P(choosing you, Kyle, Carol and Adam) :
1 / 1365
Which inequality is true?
А. Зп > 9
B. 7 + 8< 11
C. 27 -1 < 5
D. 2 > 2
SUBMIT
< PREVIOUS
9514 1404 393
Answer:
А. Зп > 9
Step-by-step explanation:
The inequality of A may or may not be true. (It is true only if n > 3.) All of the others are definitely false.