Answer:
x=-8
Step-by-step explanation:
Multiply both sides- 4/3x2/4=4/3x(-6)
Reduce multiply
x=-4x2
x=-8
Answer:
13/6
Step-by-step explanation:
1. remove perenthases and distrubute 3 through both sides of the eqation.
2.move 18 to the right and make it +18 instead of -18
3.calculate 8+18 to get 26
4.divide both sides if the eqation by 12 to 13/6
hope this helps!
9
The dew point in degrees Fahrenheit can be calculated with the formula DP = T (100 - RH), where DP is
the dew point, T is the dry-bulb temperature, and RH is the relative humidity. Which of these is the equation
solved for RH?
RH = 100 -
(T-DP)
RH = 100 – 2 (DP-1)
RH = 100 – (DP-1)
RH = 100 – 25 (T-DP)
Answer:
B
Step-by-step explanation:
I took that same test and i didthe practice test. Believe me.
The equation that can be used to solve for RH is 25/9(DP-T) - 100
Given the formula for the dew point in degrees, Fahrenheit expressed as
DP = T - 9/25(100 - RH)To solve for the value of RH, we will make RH the subject of the formula;
DP = T - 9/25(100 - RH)Subtract T from both sides:
DP - T = 9/25(100 - RH)Multiply both sides by 25
25(DP - T) = 9(100 - RH)
25(DP - T) = 900 - 9RH
25(DP - T) - 900 = 9RH
RH = 25/9(DP-T) - 100
Hence the equation that can be used to solve for RH is 25/9(DP-T) - 100
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at the various activity levels shown, harper company incurred the following costs. units sold 20 40 60 80 100 a. rental cost per unit of merchandise sold $36.00 $18.00 $12.00 $9.00 b. Total phone expense80.00 100.00 120.00 140.00 c. cost per unit of supplies 1.001.00 1.00 1.00 d. Total insurace cost 480.00 480.00 480.00 480.00 e. Total salary cost 1,200.00 1,600.00 2,000.00 2,400.00 f. Total cost of goods sold 1,800.00 3,600.00 5,400.00 7,200.00 g. Depreciation cost per unit 240.00 120.00 800.00 60.00 h. Total rent cost 3,200.00 3,200.00 3,200.00 3,200.00 i. Total cost of shopping bags 2.00 4.00 6.00 8.00 j. Cost per unit of merchandise sold 90.00 90.00 90.00 90.00
a. Mixed cost - the cost per unit decreases with increase in units sold.
b. Variable cost - the expense increases with increase in units sold
c. Fixed cost - expense is constant with increase in units sold.
d. Fixed cost - cost is constant with increase in units sold.
e. Variable cost - cost increases with increase in units sold
f. Variable cost - cost increases with increase in units sold
g. Mixed cost- depreciation cost decreases with increase in units sold.
h. Fixed cost - cost is constant with increase in units sold.
i. Variable cost - cost increases with increase in units sold
j. Fixed cost- cost is constant with increase in units sold.
According to the given question;
Mixed costs: That has a high initial cost generally because they contain some fixed components and change in proportion because they contain some variable components.
Fixed costs: Costs that are consistent or constant are known as fixed costs.
Variable costs: These alter as the quantity of units changes.
(a) The price is fixed. This is because even while the price per unit fluctuates, the overall price does not. For instance, the total cost for 20 units is $720 ($36 x 20 units), and the total cost for 100 units is $720 ($7.2 x 100 units).
(b) The overall cost of the phone is mixed. On the basis of unit cost fluctuations, it may be claimed that the first 20 units have a fixed component and that subsequent 20 units have an equal distribution of fixed and variable costs.
(c) The price is vary. Supply costs are fixed regardless of quantity changes, and variable cost per unit is also fixed regardless of quantity changes that affect changes in the aggregate but not in the individual.
(d) The fact that the overall insurance cost remains constant as the quantity changes suggests that it is a fixed cost.
(e) Total salary expenses are mixed costs since they have a higher initial cost due to the inclusion of some fixed costs and ratio changes as a result of the addition of variable costs.
(f) Variable expenses, which rise in line with an increase in quantity, make up the entire cost of items sold.
(g) Depreciation is a fixed cost because, despite the fact that unit cost reduces as quantity increases, total cost remains constant.
(h) The total rent expense is constant despite changes in quantity, indicating that it is a fixed expense.
(i) The price of shopping bags is variable since the price and total fluctuate when the amount changes.
(j) Since individual unit expenses are constant per unit, the cost per unit of goods sold is variable.
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The write question is given below:
What is NOT included in Islamic mosaics?
A. geometric shapes
B. images of God
C. patterns
Answer:
I believe it's images of god
Answer:
the answer is the option : B
Solve.
a-5/a+4=5/4
a=0
a=-1
a=-9
a=-40
Answer:
-1
Step-by-step explanation:
hzhsuxbsjsisnduxidnwhdicjdbe
!! WILL GIVE BRAINLIEST!!
Bailey is thinking of a number. When
this number is multiplied by 4 and
increased by 13, the result is 8 less
than half of the number. What is
Bailey's number?
X represents the number
4x+13=(1/2)x-8 this is the equation
4x-(1/2)x=(-8)-13 combine like terms
(3 1/2)x=-21 simplify!
(7/2)x=-21 convert 3 1/2 into a fraction
x=(-21)(2/7) multiply both sides by 2/7 in order to isolate x
The answer is X= -6
What 3 consecutive numbers if the sum is 15333
Answer:
\(5110, 5111, 5112\)
Step-by-step explanation:
Let \(x=\) first consecutive number
\(x + (x+1)+(x+2) = 15333\) (\(x\) is the first number, \(x+1\) would be the second consecutive number of the sequence, and \(x+2\) would be the third)
\(3x + 3 = 15333\)
\(3x = 15330\)
\(x = 5110\)
\(x+1 = 5110+1\)
\(= 5111\)
\(x+2 = 5110 + 2\)
\(= 5112\)
\(\therefore\) the consecutive numbers that sum up to \(15333\) are \(5110, 5111,\) and \(5112\)
Hope this helps :)
an official from the ohio department of education claims that, in recent years, 3% of ohio high school seniors drop out. last year, podunk high school had 30 dropouts from their total enrollment of 600 students. is there sufficient evidence to conclude that the dropout rate at this school is different from the state level?
The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.
Given that,
According to a representative of the Ohio Department of Education, 3% of graduating high school seniors in Ohio have dropped out in recent years. Out of the 600 pupils enrolled, 30 students from Podunk High School dropped out of school last year.
We have to find is there enough data to say that this school's dropout rate is higher than the state average. Using symbols and words, state the alternative and hull hypotheses.
We know that,
n is 600,
3% Ohio high school seniors dropout.
30 dropout out of 600 in Podunk high school.
Here,
H₀: μ₁=μ₂ vs H₁:μ₁≠μ₂
In coordinates,
H₀⇒ dropout number is equal for both schools.
H₁⇒ dropout number not equal for both schools.
H₀: P=0.03, H₁: P≠0.03.
Therefore, The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.
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Which statement is not always true? 1 The difference of two rational numbers is rational 2 The sum of a rational number and an irrational number is irration 3 The quotient of two irrational numbers is irrational. 4 The product of two rational numbers is rational
Answer: 3 The quotient of two irrational numbers is irrational.
Explanation
A counter-example would be
\(\sqrt{20} \ \div \ \sqrt{5} = \sqrt{20\div5} = \sqrt{4} = 2\)
The \(\sqrt{20}\) and \(\sqrt{5}\) are both irrational, but the quotient 2 is rational.
The term "rational" means we can write it as a fraction or ratio of two integers. The denominator cannot be zero.
2 is rational since 2 = 2/1.
Simplify 3(5a + b) + 4(a + 2b).
A.) 9a + 5b
B.) 19a + 3b
C.) 19a+11b
D.) 9a + 9b
Answer:
C. 19a + 11b
Step-by-step explanation:
Distribute into the parentheses.
3(5a + b) + 4(a + 2b)
= 15a + 3b + 4a + 8b
Add like terms.
15a + 3b + 4a + 8b
19a + 3b + 8b
= 19a + 11b
Hope that helps.
Hey there!
“Simplify 3(5a + b) + 4(a + 2b)”
FIRST you have to DISTRIBUTE
3(5a + b) + 4(a + 2b)
3(5a) + 3(b) + 4(a) + 4(2b)
3(5a) = 15a
3(b) = 3b
4(a) = 4a
4(2b) = 8b
“15a + 3b + 4a + 8b”
SECOND: COMBINE your LIKE TERMS
(3b + 8b) + (15a + 4a)
(3b + 8b) = 11b ⬅️ BACK number
(15a + 4a) = 19a ⬅️ FRONT number
ALL OF YOUR TERMS/NUMBERS ARE POSITIVE SO WE DON’T HAVE TO FIX ANYTHING
Answer: C. 19a + 11b ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
suppose sin(A)=-0.78. use the trig identity sin^2(A)+cos^2(A)=1 and the trig identity tan(A) = sin(A)/cos(A) to find tan(A) in quadrant IV. round to the ten-thousandth.
a. -0.2039
b. 1.3941
c. 0.8671
d. -1.2464
In quadrant IV, \(\cos(A)\) is positive. So
\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258\)
Then by the definition of tangent,
\(\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}\)
Delia graphed AABC
AA'B'C'.
on the coordinate grid as shown. She applied a series of transformations which produced a simillar triangle that she labeled. What sequence of transformation did Delia use to produce triangle A’ B’C
Answer:
You should watch SHREK
Step-by-step explanation:
the square of the product of 4 and a number is the sum of the number and 15
Answer:
(4x)^2 = x + 15 or
16x^2 = x + 15
16x^2 - x - 15 = 0
or x =1 and x = -0.9375
Make sure next time that you ask a question..
Step-by-step explanation:
This shouldn't really be answered unless we are sure when the answer is there.
4x is the product of a number and 4
(4x)^2 = 16x^2
this will equal x + 15
16x^2 = x + 15
The question is that the answer? I suspect it is.
16x^2 - x - 15 = 0
This might be the answer. It's not clear.
"""""""""""""""""""""""""""""""""""""''''
Believe it or not, this factors without using the quadratic formula
(16x + 15) ( x - 1) = 0
16x + 15 = 0
x = - 15/16 = - 0.9575
x - 1 = 0
x = 1
The library at Southwest Middle School plans to expand its
selection of books. To learn about students' interests, the
librarian plans to conduct a reading survey.
Which of these methods will produce the most representative sample of the
student body at Southwest Middle School?
OA. The librarian randomly selects homeroom classes and surveys
O B. The librarian surveys each student who is in the library for a math
OC. The librarian surveys all eighth-grade students.
OD. The librarian surveys each student who enters the library one
each student in the chosen classes.
club meeting.
afternoon after school.
Answer:
the librarian randomly selects homeroom classes and surveys each student in the chosen classes (A)
Step-by-step explanation:
I need to know the slope and the y intercept please and thank you!
Answer:
$2.50 for hotdog and $2 for soda
Determine the following probabilities a. For n-5 and π= 0.16, what is P(X:0)? b. For n 9 and x-0.50, what is P(X 8)? c. For n 9 and -0.40, what is P(X-7)? d. For n-6 and x-0.81, what is P(x-5)? a·When n 5 and x=0.16,PR=0)= Round to four decimal places as needed.) b. When n-9 and x -0.50, P(X 8) Round to four decimal places as needed.) c. When n-3 and π: 0 40, P(x-7)-[) Round to four decimal places as needed.) d. When n -6 and 0.81, P( 5) Round to four decimal places as needed)
P(X = 0) = 0.335 Probability = 0.335.The given formula for probability distribution is:P(X) = (n! / x! (n - x)!) * πx * (1 - π)n - xwhere, P = Probability X = Random variable, n = Total number of trialsπ = Probability of success. Let us consider the given probabilities:(a) For n - 5 and π = 0.16, what is P(X:0)?When n = 5 and x = 0, then n - x = 5.
Therefore,
P(X = 0) = (5! / 0! (5 - 0)!) * (0.16)0 * (1 - 0.16)5 - 0= (1 / 1) * 1 * 0.3277= 0.3277Round off the answer to four decimal places as needed.P(X = 0) = 0.3277.(b) For n 9 and x-0.50, what is P(X 8)?When n = 9 and x = 8, then n - x = 1. Therefore,P(X = 8) = (9! / 8! (9 - 8)!) * (0.50)8 * (1 - 0.50)9 - 8= (9 / 1) * 0.00390625 * 0.5= 0.0176.
Round off the answer to four decimal places as needed.P(X = 8) = 0.0176(c) For n 9 and -0.40, what is P(X-7)?When n = 9 and x = 7, then n - x = 2. Therefore,P(X = 7) = (9! / 7! (9 - 7)!) * (0.40)7 * (1 - 0.40)9 - 7= (36 / 1) * 0.0809856 * 0.027= 0.0807.
Round off the answer to four decimal places as needed.P(X = 7) = 0.0807(d) For n-6 and x-0.81, what is P(x-5)?When n = 6 and x = 5, then n - x = 1. Therefore,P(X = 5) = (6! / 5! (6 - 5)!) * (0.81)5 * (1 - 0.81)6 - 5= (6 / 1) * 0.3252718081 * 0.19= 0.3727Round off the answer to four decimal places as needed.P(X = 5) = 0.3727.
To determine the given probabilities, the probability distribution formula has been used. The formula used is:P(X) = (n! / x! (n - x)!) * πx * (1 - π)n - xWhere,P is the probability,X is the random variable,n is the total number of trials, andπ is the probability of success. The first probability is to calculate the probability for n - 5 and π = 0.16, what is P(X:0)?The value of x is zero, and n - x is 5. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The second probability is to calculate the probability for n 9 and x-0.50, what is P(X 8)?The value of x is 8, and n - x is 1. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The third probability is to calculate the probability for n 9 and -0.40, what is P(X-7)?The value of x is 7, and n - x is 2. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The fourth probability is to calculate the probability for n -6 and x-0.81, what is P(x-5)?The value of x is 5, and n - x is 1. The formula is applied to get the probability, and it is rounded off to four decimal places as needed.
Therefore, the probabilities for different values of n, x, and π have been calculated by using the probability distribution formula.
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How many electrons can there be in the 5s subshell.
s orbital mentioned
Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10
Hence 5s contains 2electronsRule for electron in nth shell=2n²
Solve the system by substitution.
y = 2x + 35
y = 9x
Answer:
(5,45)
Step-by-step explanation:
Hi,
y = 2x + 35
y = 9x
To solve, we can substitute 9x for y.
9x = 2x + 35
Subtract 2x...
7x = 35
Divide by 7...
x = 5
Now plug in 5 for x...
y = 9x
y = 9(5)
y = 45
Your answer is (5,45)
I hope this helps :)
Answer:
x=5, y=45. (5, 45).
Step-by-step explanation:
y=2x+35
y=9x
-------------
2x+35=9x
35=9x-2x
35=7x
x=35/7
x=5
y=9(5)=45
Which is the approximate value of x? 4 9 17 20
Answer: it’s d. 20 .
which number line represents the solution to 6+9r > 51
Answer:
The inequality solves to r > 5
The graph has an open hole at 5, with shading to the right
===========================================================
Explanation:
6+9r is the same as 9r+6
We'll subtract 6 from both sides to undo the +6
9r+6 > 51
9r+6-6 > 51-6
9r > 45
Then we'll divide both sides by 9 to isolate r.
9r/9 > 45/9
r > 5
The entire time, the inequality sign stays the same.
The solution set involves anything larger than 5. So something like r = 7 would work while r = 2 does not.
Visually, we'll have an open hole at 5 on the number line. Shade to the right to indicate things larger than 5. The open hole tells the reader "do not include 5 as part of the solution set".
IF U ANSWER THIS CORRECTLY I WILL MARK U BRAINLIEST AND GIVE YOU 20 NOTIFICATIONS!!!!! (the good notifications)
Moussa is preheating his oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 6 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?
Answer:
After 6 minutes the temperature would be 190 degrees.
Step-by-step explanation:
6 x 20 = 120 + 70 = 190.
Answer:
(Answer Below)
Step-by-step explanation:
Brainliest are appreciated. I don't want 20 notifications. I prefer if you buy me a biteable account. Costs $19.
Divide f(x) by g(x) using long division and write the result using the division algorithm. Please help!
To use long division in polynomials, we follow steps similar to normal long division, but we look for the terms from higher degree to lower.
We are dividing:
\(4x^3-7x^2+3\)By:
\(2x-1\)We want to multiply the divisor by some expression that will make the higher term equal to the higher term of the dividend. The higher term of the dividend is 4x³, to get to that, we can multiply the divisor by 2x²:
\(2x^2(2x-1)=2x^2\cdot2x-2x^2=4x^3-2x^2\)Now we have the same term, so we just substract what we have got from the dividend:
\(\begin{gathered} 4x^3-7x^2+3 \\ -(4x^3-2x^2) \\ \\ 4x^3-4x^3-7x^2+2x^2+3 \\ -5x^2+3 \end{gathered}\)Notice that we don't have a third degree term anymore.
So, until now we have done:
- Multiplied the divisor by 2x²
- Got a remainder of -5x² + 3
Now, we just repeat with the remainder.
We want to multiply 2x - 1 so that the higher term is -5x², so we can multiply by -5x/2:
\(-\frac{5x}{2}(2x-1)=-\frac{5x\cdot2x}{2}+\frac{5x}{2}=-5x^2+\frac{5x}{2}\)And we do the substraction:
\(\begin{gathered} -5x^2+3 \\ -(-5x^2+\frac{5x}{2}) \\ \\ -5x^2+5x^2-\frac{5x}{2}+3 \\ -\frac{5x}{2}+3 \end{gathered}\)So, now we have got:
- Multiplied the divisor by 2x² and then by -5x/2
- Got a remainder of -5x/2 + 3
Now, we repeat once more:
To get -5x/2, we multiply the divisor by -5/4:
\(-\frac{5}{4}(2x-1)=-\frac{5\cdot2x}{4}+\frac{5}{4}=-\frac{5x}{2}+\frac{5}{4}\)And we substract from the remainder:
\(\begin{gathered} -\frac{5x}{2}+3 \\ -(-\frac{5x}{2}+\frac{5}{4}) \\ \\ -\frac{5x}{2}+\frac{5x}{2}+3-\frac{5}{4} \\ \frac{12-5}{4} \\ \frac{7}{4} \end{gathered}\)So, we have done:
- Multiplied the divisor by 2x² then -5x/2 then -5/4
- Got a remainder of 7/4
This means that th result of the division is:
\(2x^2-\frac{5x}{2}-\frac{5}{4}\)And the remainder is:
\(\frac{7}{4}\)But, the answer wants us to write what the dividend is equal to.
Let's write first in the division form:
\(\frac{4x^3-7x^2+3}{2x-1}=2x^2-\frac{5x}{2}-\frac{5}{4}+\frac{\frac{7}{4}}{2x-1}\)Notice that we result is the quotient plus the remainder divided by the divisor.
If we multiply both sides by the divisor, we will get:
\(4x^3-7x^2+3=(2x-1)\mleft(2x^2-\frac{5x}{2}-\frac{5}{4}\mright)+\frac{7}{4}\)That is the answer.
PLEASE HELP !!
-22.3+6v=16.1
what is v?
Answer: v = 6.4
Step-by-step explanation:
-22.3 + 6v = 16.1
+22.3 to each side
6v = 38.4
divide each side by 4
v = 6.4
Answer:
\(\huge\boxed{\sf v = 6.4}\)
Step-by-step explanation:
\(\sf -22.3 +6v = 16.1\\\\Adding\ 22.3\ to\ both\ sides\\\\6v = 16.1+22.3\\\\6v = 38.4\\\\Dividing \ both \ sides \ by \ 6\\\\v = 38.4 / 6\\\\v = 6.4\\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807Given y = \(\frac{2x-5}{x^{2} -2}\), find the value of \(\frac{dy}{dx}\) at x = 2.
▪ \(\bold{\dfrac{2x-5}{x^{2} -2}}\)
▪ \(\bold{\dfrac{dy}{dx}}\)
\( \huge\mathbb{ \underline{SOLUTION :}}\)
» \( \tt{For \: \: y,}\)
\(\longrightarrow\sf{y=v \dfrac{2x - 5}{ {x}^{2} - 2} }\)
\(\longrightarrow\sf{\dfrac{dy}{dx} = \cfrac{ ( {x}^{2} - 2)(2) - (2x - 5)(2x)}{( {x}^{2} - {2}^{2} )}}\)
\(\longrightarrow\sf{\cfrac{2 {x}^{2} - 4 - {4x}^{2} + 10x}{ ({x}^{2} - {2}^{2} )}}\)
\(\longrightarrow{={ \boxed{\sf \cfrac{ - 2 {x}^{2} - 4 + 10x}{ ({x}^{2} - {2}^{2} )}}}}\)
» \( \tt{At \: \: x = 2,}\)
\(\longrightarrow\sf{ \dfrac{ - 2(2) {}^{2} + 10(2) - 4 }{( {2}^{2} - 2 {)}^{2} } }\)
\(\longrightarrow\sf{\dfrac{ - 8 + 20 - 4}{4} }\)
\(\longrightarrow\sf{ \dfrac{8}{4} }\)
\(\longrightarrow{\sf = \boxed{\sf {2}}}\) ✓
\(\huge \mathbb{ \underline{ANSWER:}}\)
◆ The value of the given differential function at \(\sf{x=2}\) is \(\sf{2.}\)
suppose that there are two types of tickets to a show: advance and same-day. advance tickets cost and same-day tickets cost . for one performance, there were tickets sold in all, and the total amount paid for them was . how many tickets of each type were sold?
100 same-day tickets were sold for the cost using equation.
To solve this problem, we can use a system of two equations with two variables. Let x be the number of advance tickets sold and y be the number of same-day tickets sold. Then we have:
x + y = 600 (equation 1: total number of tickets sold)
50x + 30y = 28000 (equation 2: total amount paid for tickets)
We can solve for x and y by using elimination or substitution. Here's one way to do it using substitution:
From equation 1, we have y = 600 - x. Substitute this into equation 2:
50x + 30(600 - x) = 28000
Simplify and solve for x:
50x + 18000 - 30x = 28000
20x = 10000
x = 500
So 500 advance tickets were sold. To find the number of same-day tickets, we can substitute x = 500 into equation 1:
500 + y = 600
y = 100
So 100 same-day tickets were sold.
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If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c. True False Question 4 (1 point). A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0. True False Question 5 (1 point) If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = C. True False
Question 3: True
Question 4: False
Question 5: True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.
This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.
True
When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.
Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.
False
A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.
Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.
True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
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which expression is equivalent to the expression below?
first you have your number outside the equation so you have 2 as an awaser so eliminate all the 4s now you do 2×2 which is 4 then 2×6 which is 12 12+4 equals 16 therefore it should me 2 16
The volume of the solid obtained by rotating the region enclosed by y=x^2, x=y^2
about the line x=−7 can be computed using the method of discs or washers via an integral.
V = integral from a to b of ?
with limits of integration a = 0 and b = 1
The volume of the solid obtained by rotating the region enclosed by y=x², x=y² about the line x=−7 can be computed using the method of discs or washers via an integral.
The given region enclosed by y=x², x=y² can be represented as:
As we need to rotate the region about the line x = -7, then we need to perform the following transformation:
x = t - 7So, the region enclosed by y=x², x=y² can be represented as:
y = (t - 7)², t = y²
The limits of integration of the variable 't' will be a = 0 and b = 1
As we are using the method of cylindrical shells, then the volume of the solid obtained can be represented as:
V = 2π∫₀¹ (y)(t(y)) dy
where, (y)(t(y)) = (t - 7)²
The integral can be written as:
V = 2π∫₀¹ (t - 7)² dy
By substituting t = √y, we have the following:
dt/dy = 1/2y^(-1/2)
Therefore, the integral becomes:
V = 2π∫₀¹ (t - 7)²
dy= 2π∫₀¹ (√y - 7)²
dy= 2π∫₀¹ y - 14√y + 49
dy= 2π[(1/2)y² - (28/3)y^(3/2) + 49y] from 0 to 1
By substituting the limits of integration a = 0 and b = 1, we have:
V = 2π[(1/2) - (28/3) + 49] = 2π[97/6]
Therefore, the volume of the solid obtained is V = 97π/3 square units.
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32. The debate team plans to make and sell trail
mix. They can spend $34.
Item
Cost Per Pound
sunflower seeds
$4.00
raisins
$1.50
The pounds of raisins in the mix are to be
3 times the pounds of sunflower seeds. Which
system can be used to find r, the pounds of
,
raisins, and p, pounds of sunflower seeds,
they should buy?
A 3p=r
C 3r =p
4p + 1.5r = 34
4p + 1.5r = 34
D 3r =p
в Зp =r
4r + 1.5p = 34
=
4r + 1.5p = 34
Answer:
C
Step-by-step explanation:
The first equation has to be the ratio of raisins to sunflower seeds. If r is raisins and p is sunflower seeds and there are 3 times as many raisins as sunflower seeds then the first equation must be 3r=p
The second equation should model the prices properly. Raisins are 1.5 per pound and sunflower seeds are 4 per pound, because of this we should have 1.5r (r being each pound of raisins) and 4p (p being each pound of sunflower seeds). From this we know the second equation must be 4p+1.5r=34
1. approximately 10% of adults in the united states are left handed. out of a random sample of 500 adults, what is the probability that 8% or fewer will be left handed?
The probability that 8% or fewer of a random sample of 500 adults will be left-handed is approximately 0.246.
The probability that 8% or fewer of a sample of 500 adults will be left handed can be calculated using the binomial distribution. The binomial distribution models the probability of a certain number of successes in a fixed number of Bernoulli trials, where the probability of success remains constant.
In this case, the number of Bernoulli trials is 500 (the sample size), the probability of success is 10% (the percentage of left-handed adults in the population), and the number of successes is the number of left-handed adults in the sample (which we are trying to calculate the probability of).
We can use the binomial cumulative distribution function (CDF) to calculate the probability of 8% or fewer successes (left-handed adults in the sample). This is given by:
P(X <= 40) = binomial_cdf(500, 0.1, 40)
Where X is the number of left-handed adults in the sample.
Plugging in the values, we get:
P(X <= 40) = binomial_cdf(500, 0.1, 40) = 0.246
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2 (4 + 3) = (2 x 4) + 3
Answer:
x = 11/8
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
2×(4 +3) =(2 ×4) +3
2 ×7 =8 +3
14 =11
False