Answer:
The answer would be C: 140.
Right triangle ABC is shown.
Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.
Which equation can be used to solve for c?
sin(50o) = StartFraction 3 Over c EndFraction
sin(50o) = StartFraction c Over 3 EndFraction
cos(50o) = StartFraction c Over 3 EndFraction
cos(50o) =
Answer:
A and A.
Step-by-step explanation:
Got it correct on edge 2022.
carol and jada sold raffle tickets to raise money for a new playground carol sold 2045 tickets jada sold 356 more than carol how many did jada sell
2 3 12 13 52 53 what number comes next
Find each missing length to the nearest tenth.
[tex]\huge\bold{Given:}[/tex]
Length of the perpendicular = 7
Length of the base = 10
[tex]\huge\bold{To\:find:}[/tex]
The length of the missing side (hypotenuse).
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\purple{x\:=\: 12.21}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Let the length of the missing side be [tex]x[/tex].
Using Pythagoras theorem, we have
(Hypotenuse)² = (Perpendicular)² + (Base)²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = (7)² + (10)²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = 49 + 100
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = 149
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = [tex]\sqrt{149}[/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = 12.206
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = 12.21.
Therefore, the length of the missing side [tex]x[/tex] is [tex]12.21[/tex].
[tex]\huge\bold{To\:verify :}[/tex]
[tex]\longrightarrow{\green{}}[/tex] (12.21)² = (7)² + (10)²
[tex]\longrightarrow{\green{}}[/tex] 149 = 49 + 100
[tex]\longrightarrow{\green{}}[/tex] 149 = 149
[tex]\longrightarrow{\green{}}[/tex] L.H.S. = R. H. S.
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]
HELP ANYONE OUT THERE WITH MY MATH
Answer:
x is 37.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.
Answer:
x = 37
Step-by-step explanation:
Interior angles of a square is 90 each.
∠JKL = 90°
Given ∠JKL = 3x - 21
Therefore, 3x - 21 = 90
3x = 90 + 21
3x = 111
x = 37
..........................................................
Factor this polynomial.
.-2x2 - 7x-3
Answer:
Its B
Step-by-step explanation:
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What happens if you try to use L'Hopital's Rule to find the limit?
lim x/√x^2 +6
x→[infinity]
Required:
a. You cannot apply L'Hopital's Rule because the function is not differentiable.
b. You cannot apply L'Hopital's Rule because the numerator equals zero for some value x = a.
c. You cannot apply L'Hopital's Rule because the function is not continuous.
d. You cannot apply L'Hopital's Rule because the denominator equals zero for some value x = a.
e. Repeated applications of L'Hopital Rule result in the original limit or the limit of the reciprocal of the function.
If we try to use L'Hopital's Rule to find the limit we cannot apply L’Hopital’s Rule because the denominator equals zero for some value x = a, the correct option is D.
We are given that;
Function [tex]x/√x^2 +6[/tex]
Now,
The limit of the function as x approaches infinity is an indeterminate form of type ∞/∞.
However, L’Hopital’s Rule can only be applied when the limit is in the form 0/0 or ∞/∞.
So, L’Hopital’s Rule cannot be applied in this case
Therefore, by L’Hopital’s rule answer will be You cannot apply L’Hopital’s Rule because the denominator equals zero for some value x = a.
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The list price on slacks is $22, and the list price on jumpers is $37. If Petit’s Clothing Store orders 30 pairs of slacks and 40 jumpers at a discount rate of 11%, what is the trade discount on the purchase?
Answer: $235.4
Step-by-step explanation:
Given
Price list on slacks is $22
Price list on jumpers is $37
Store ordered 30 pairs of slacks and 40 Jumpers
Total price becomes
[tex]\Rightarrow 22\times 30+37\times 40\\\Rightarrow \$2140[/tex]
for a discount of 11%
Trade discount is [tex]2140\times 11\%[/tex]
[tex]\Rightarrow 2140\times 0.11\\\Rightarrow \$235.4[/tex]
11. f(x) = 4x4 - x2 + 9. Find f(-4).
Answer:
f ( -4 ) = 1024 + 8 + 9
Step-by-step explanation:
f ( x ) = 4x⁴ - x² + 9
If f ( - 4 ) then we get
f ( -4 ) = 4 ( -4)⁴ - ( - 4)² + 9
Expand the exponents
f ( - 4 ) = 4 ( 256 ) + 8 + 9
multiply the numbers
f ( -4 ) = 1024 + 8 + 9
Find the value of x for which a || b.
Answer:
x = 35
Step-by-step explanation:
x and 3x+40 are same side interior angles and same side interior angles are supplementary when the lines are parallel
x + 3x+40 = 180
Combine like terms
4x+40 =180
4x = 180-40
4x = 140
Divide by 4
4x/4 = 140/4
x = 35
Answer and Step-by-step explanation:
To solve for x, we add together the angles, and equal it to 180.
This is because the angles shown are same side interior angles, and add up to 180 degrees.
x + 3x + 40 = 180
Subtract 40 and combine like terms.
4x = 140
Divide 4 from both sides of the equation.
x = [tex]35[/tex]
The value of x is 35.
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Peggy constructed the 95 percent confidence interval (4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy?
А. Peggy's claim is correct.
B. Quincy's claim is correct.
C. Both Peggy's claim and Quincy's claim are correct
D. Neither Peggy's claim nor Quincy's claim is correct.
E. There is not enough information to determine whether the claims are correct.
Answer:
B. Quincy's claim is correct.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which z is related to the confidence level, s is the standard error and n is the size of the sample.
From this interval, we have that the margin of error and the sample size are inversely proportional, that is, if we increase the sample size, the margin of error decreases, and so does the width of the confidence interval.
Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same.
Peggy is wrong, as the increase of the sample size results on the decrease of the margin of error, and a decrease of the width.
Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used.
Margin of error decreases, and so does the width of the interval, thus, Quincy's claim is correct, and the correct answer is given by option b.
Question
At a certain university, intramural volleyball is chosen as an activity by 50% of the student population. How likely is it that a
randomly chosen student will or will not participate in intramural volleyball?
Answer:
50%
Step-by-step explanation:
50% of the student population chooses instramural volleyball, meaning 50% doesn't. So if a random student is chosen, then it is a 50% chance that they will choose volleyball and 50% chance they won't.
Complete the table of ordered pairs for the linear y=2x-8
Given:
Consider the below figure attached with this question.
The linear equation is:
[tex]y=2x-8[/tex]
To find:
The values to complete the table of ordered pairs for the given linear equation.
Solution:
We have,
[tex]y=2x-8[/tex]
Substituting [tex]x=0[/tex] in the given equation, we get
[tex]y=2(0)-8[/tex]
[tex]y=0-8[/tex]
[tex]y=-8[/tex]
So, the value for first blank is -8.
Substituting [tex]y=-2[/tex] in the given equation, we get
[tex]-2=2x-8[/tex]
[tex]-2+8=2x[/tex]
[tex]\dfrac{6}{2}=x[/tex]
[tex]3=x[/tex]
So, the value for second blank is 3.
Substituting [tex]x=2[/tex] in the given equation, we get
[tex]y=2(2)-8[/tex]
[tex]y=4-8[/tex]
[tex]y=-4[/tex]
So, the value for third blank is -4.
Therefore, the required complete table is:
x y
0 -8
3 -2
2 -4
Review the graph of complex number z. On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 3, 1). What is the modulus of z?
Edge
Answer:
The modulus of z is [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Complex number:
A complex number, given by:
[tex]z = x + iy[/tex]
Can be represented also as a point (x,y).
The modulus is given by:
[tex]|z| = \sqrt{x^2 + y^2}[/tex]
Point z is at (negative 3, 1). What is the modulus of z?
[tex]x = -3, y = 1[/tex]. So
[tex]|z| = \sqrt{x^2 + y^2} = \sqrt{(-3)^2+1^2} = \sqrt{10}[/tex]
The modulus of z is [tex]\sqrt{10}[/tex]
Answer:
-2
Step-by-step explanation:
if this is the right problem it is -2
What's the answer to this? and please explain.
===========================================================
Use this formula
a & b/c = (a*c+b)/c
to convert from a mixed number to an improper fraction
So,
a & b/c = (a*c+b)/c
3 & 3/4 = (3*4+3)/4
3 & 3/4 = 15/4
---------------------------------------------------
Next, we add the fractions 15/4 and 5/6. The denominators aren't the same, so we can't add right away. We need to get the denominators to the LCD.
In this case, the LCD is 4*6 = 24
The fraction 15/4 becomes 90/24 after multiplying top and bottom by 6.The fraction 5/6 becomes 20/24 after multiplying top and bottom by 4Now we can add the fractions:
90/24+20/24 = (90+20)/24 = 110/24
---------------------------------------------------
So far, we've added the 3&3/4 portion to the 5/6 portion to get the result 110/24
The last thing to do is to add on the two 1/3 ft pieces, which means we're adding on 2/3 of a foot
2/3 = 16/24 after multiplying top and bottom by 8
Add this to the result of the last section
110/24+16/24 = (110+16)/24 = 126/24
---------------------------------------------------
From here, we convert the improper fraction 126/24 to decimal form
Using a calculator, you should find that 126/24 = 5.25
The result is larger than 5, which means she used too much ribbon. There won't be enough ribbon to do everything she wants to do.
---------------------------------------------------
The shortcut we can take is to type the following into the calculator
3+3/4+5/6+2/3
doing so should lead to 5.25
Answer:
Yes
Step-by-step explanation:
So at the begining, Cherly has 60 in (12inx5ft) of ribbon. She uses 45 in(3.75x12) to make the hair bow, leaving 15 in of ribbon. She, then, uses 10 in (5/6x12) of ribbon, leaving 5 in. After that, Cheryl uses 8 in [2(1/3x12)] to put on the picture frame, leaving two inches of ribbon.
The radius of a cylindrical water tank is 4.5 ft, and its height is 10 ft. What is the volume of the tank?
Answer:
636.3 cubic meters
Step-by-step explanation:
Volume of cylinder= pi × radius² × height
3.142 × 20.25 × 10 = 636.255 rounded to the nearest one decimal place is 636.3
Have a nice day.
Dertemine a área total at
In function notation, f(x) is another way of saying ______.
1.)y
2.)x
3.)or none of the above
Answer:
y
Step-by-step explanation:
In function notation, f(x) is another way of saying y. Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Tables, symbols, and graphs can all be used to represent functions. Every one of these interpretations has benefits. Tables provide the functional values of certain inputs in an explicit manner. How to compute direct proportionality is succinctly stated in symbolic representation.
The function is represented as,
y = f(x)
In function notation, f(x) is another way of saying y. Then the correct option is A.
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A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the test statistic to decide whether the mean transaction time exceeds 60 seconds.
a. 1.457
b. 2.333
c. 1.848
d. 2.037
Answer:
b. 2.333
Step-by-step explanation:
Test if the mean transaction time exceeds 60 seconds.
At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:
[tex]H_0: \mu = 60[/tex]
At the alternate hypothesis, we test if it exceeds, that is:
[tex]H_1: \mu > 60[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
60 is tested at the null hypothesis:
This means that [tex]\mu = 60[/tex]
A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.
This means that [tex]n = 16, X = 67, s = 12[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{67 - 60}{\frac{12}{\sqrt{16}}}[/tex]
[tex]t = \frac{7}{3}[/tex]
[tex]t = 2.333[/tex]
Thus, the correct answer is given by option b.
Oakley babysits on weekends. He charges a flat fee of $12, plus an additional $5 for each hour that he babysits. How much money would Oakely make if he babysits for 4 hours?
Answer:
32
Since theres a flat fee he automatically starts at 12 since he gets 5 every hour for 4 hours (5×4) ending up at 20. You add the total and the flat fee 20+12= 32
Answer:
$32
Step-by-step explanation:
First you must set up the equation.
A flat fee of $12 means it will be added and $5 each hour for 4 hours so 5 will be multiplied by 4.
$12 + $5 * 4
12 + 5 * 4 (or 12 + (5 * 4), whatever makes you remember it better)
Remember PEMDAS (Parentheses, Exponents, Multiplication, Divisiom, Addition, Subtraction)
Multiplication comes before Addition so you get 12 + 20
12 + 20 = 32
Remember to put units, so you would get $32.
PLEASE I NEED THE CORRECT ANSWER ILL GIVE BRAINLISET 100 students are interviewed to see which of biology, chemistry or physics they prefer.
22 of the students are girls. 6 of the girls like biology best.
23 of the boys prefer physics.
14 out of the 32 who prefer chemistry are girls.
What percentage of the students prefer biology?
Perimeter of a 14cm,10cm,6cm and 20cm shape?
Answer:
The perimeter is 50 cm.
Step-by-step explanation:
P= 14 + 10 + 6 + 20= 50 cm
please answer i will mark brainliest :)
Answer:
c I think that's the right answer
Differentiate the function. y = (2x - 5)^2 (5 - x)?
Answer:
[tex]\displaystyle y' = -(2x - 5)(6x - 25)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
y = (2x - 5)²(5 - x)
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle y' = \frac{d}{dx}[(2x - 5)^2](5 - x) + (2x - 5)^2\frac{d}{dx}[(5 - x)][/tex]Chain Rule [Basic Power Rule]: [tex]\displaystyle y' = [2(2x - 5)^{2 - 1} \cdot \frac{d}{dx}[2x]](5 - x) + (2x - 5)^2\frac{d}{dx}[(5 - x)][/tex]Simplify: [tex]\displaystyle y' = [2(2x - 5) \cdot \frac{d}{dx}[2x]](5 - x) + (2x - 5)^2\frac{d}{dx}[(5 - x)][/tex]Basic Power Rule: [tex]\displaystyle y' = [2(2x - 5) \cdot 1 \cdot 2x^{1 - 1}](5 - x) + (2x - 5)^2(1 \cdot -x^{1 - 1})][/tex]Simplify: [tex]\displaystyle y' = [2(2x - 5) \cdot 2](5 - x) + (2x - 5)^2(-1)[/tex]Multiply: [tex]\displaystyle y' = 4(2x - 5)(5 - x) - (2x - 5)^2[/tex]Factor: [tex]\displaystyle y' = (2x - 5)[4(5 - x) - (2x - 5)][/tex][Distributive Property] Distribute 4: [tex]\displaystyle y' = (2x - 5)[20 - 4x - (2x - 5)][/tex][Distributive Property] Distribute negative: [tex]\displaystyle y' = (2x - 5)[20 - 4x - 2x + 5][/tex][Subtraction] Combine like terms (x): [tex]\displaystyle y' = (2x - 5)[20 - 6x + 5][/tex][Addition] Combine like terms: [tex]\displaystyle y' = (2x - 5)(25 - 6x)[/tex]Factor: [tex]\displaystyle y' = -(2x - 5)(6x - 25)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Select all the expressions that are equivalent to 13 - x *
You gave no options but the simplest way to solve this is to set it equal to all of the answers to see if it is correct.
A, B , and C are collinear points: B is between A and C. If AB = 36, BC = 5x - 9 , and AC = 54 , find x
9514 1404 393
Answer:
x = 5.4
Step-by-step explanation:
The segment sum theorem tells you ...
AB +BC = AC
36 +(5x -9) = 54
5x = 27 . . . . . . . . . . . subtract 27 from both sides
x = 5.4 . . . . . . . . . . divide by 5
i need the answer of this with steps and solutions fast plz
Answer:
[tex] 1 \dfrac{13}{15} [/tex]
Step-by-step explanation:
[tex] 2 \dfrac{1}{5} - \dfrac{1}{3} = [/tex]
[tex] = \dfrac{11}{5} - \dfrac{1}{3} [/tex]
[tex] = \dfrac{33}{15} - \dfrac{5}{15} [/tex]
[tex] = \dfrac{28}{15} [/tex]
[tex] = 1 \dfrac{13}{15} [/tex]
Illustrative Example 1:
The grades in Statistics of 10 students are 87, 84, 85, 85, 86, 90, 79, 82, 78, 76.
What is the mode?
Given:
The data set is:
87, 84, 85, 85, 86, 90, 79, 82, 78, 76
To find:
The mode of the given data set.
Solution:
We have,
87, 84, 85, 85, 86, 90, 79, 82, 78, 76
Arrange the data values in the ascending order.
76, 78, 79, 82, 84, 85, 85, 86, 87, 90
We know that the mode of date set is the most frequency value of the data set.
From the above data set it is clear that the number 85 has the highest frequency 2.
Therefore, the mode of the data set is 85.
Use the graph to estimate f(4)
Answer:
f(4) = 1
Step-by-step explanation:
Locate x = 4 on the x- axis, then go vertically up to meet the graph at (4, 1 ) , then
f(4) = 1
The value of the function f(4) is 1. The correct option is C.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The value of the function f(4) will be calculated as below:-
Locate x = 4 on the x- axis, then go vertically up to meet the graph at (4, 1 ) ,
f(4) = 1
Therefore, the value of the function f(4) is 1. The correct option is C.
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