Answer:
C
Step-by-step explanation:
Answer:
f^-1(x) = [tex]\frac{x+6}{5}[/tex]
Step-by-step explanation:
5x inverse would be [tex]\frac{x}{5}[/tex] and -6 inversed would be 6.
Since the 5 is a denominator, it would carry for the equation so your answer should be [tex]\frac{x+6}{5}[/tex].
Which is greater 6 cups or 4 quarts
Answer:
not sure but 4 quarts i think
Answer:
4 quarts is greater because it is equal to 16 cups
Can someone plz help me with this one problem plz I’m trying to get to a 70
Answer:
10 2/4
Step-by-step explanation:
Answer:
look at the picture i sent
EASY question: Show steps for brainliest <3
Tai sailed east from the marina for 48 miles and
then sailed south for 14 miles, as shown in the
diagram.
What is the shortest distance Tai can sail to return
to the marina?
A 62 mi
B 82 mi
C 50 mi
D 34 mi
Answer:
C 50 mi
Step-by-step explanation:
You have to use the Pythagorean theorem:
14²+48²
196 + 2304
2500
Now you make the square root of 2500 and found the result: 50 mi
Thomas bought 100 folders he paid $50 for all the folders He said every folder cost five cents do you agree
Answer:
No, each folder costs 50 cents.
Step-by-step explanation:
0.50*100= 50
FAST PLEASE❗️❗️❗️❗️‼️
How do you find the unknown length for a special right angel
Answer: Pythagorean theroem
Step-by-step explanation:
The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle
The Kitchen committee purchased 76 boxes of cookies for Vacation Bible School,
Monday, 14 2/3 boxes were used; Tuesday 15 boxes; and Wednesday 13 3/4 boxes.
How many boxes were used during the three days?
(Write the operation and the answer)
If the gradient of the tangent to
[tex]y = \sqrt{x} [/tex]
is
[tex] \frac{1}{6} [/tex]
at point A, find the coordinates of A.
Answer:
Point A(9, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y) Functions Function Notation Terms/Coefficients Anything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative 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
[tex]\displaystyle y = \sqrt{x}[/tex]
[tex]\displaystyle y' = \frac{1}{6}[/tex]
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = x^{\frac{1}{2}}[/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1}[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{2x^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{1}{2\sqrt{x}}[/tex]Step 3: Solve
Find coordinates of A.
x-coordinate
Substitute in y' [Derivative]: [tex]\displaystyle \frac{1}{6} = \frac{1}{2\sqrt{x}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle \frac{1}{3} = \frac{1}{\sqrt{x}}[/tex][Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle \sqrt{x} = 3[/tex][Equality Property] Square both sides: [tex]\displaystyle x = 9[/tex]y-coordinate
Substitute in x [Function]: [tex]\displaystyle y = \sqrt{9}[/tex][√Radical] Evaluate: [tex]\displaystyle y = 3[/tex]∴ Coordinates of A is (9, 3).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
The ratio of two sums of money is 5:7 if the smaller amount is $250, what is the largest amount?
Answer:
$350
Step-by-step explanation:
[tex]\frac{250}{y} :\frac{5}{7}[/tex]
y · 5 = 250 · 7
5y = 1750
5y ÷ 5 = 1750 ÷ 5
y = 350
Answer:
$350
Step-by-step explanation:
5 is to 250 as 7 is to 'x'
5/250 = 7/x
cross-multiply:
5x = 1750
x = 350
Consider a triangle ABC like the one below. Suppose that a = 47, b = 59, and A = 37" (The figure is not drawn to scale.) Solve the triangle,
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or",
Answer:
B = 49.1°
C = 93.9°
c = 77.9
Step-by-step explanation:
Given:
a = 47, b = 59, and A = 37°
Required:
B, C, and c
Solution:
✔️To find B, apply the law of sines:
[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]
Cross multiply
[tex] 47*sin(B) = sin(37)*59 [/tex]
Divide both sides by 47
[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]
[tex] sin(B) = 0.7555 [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
B = 49.0690779° ≈ 49.1° (nearest tenth)
✔️C = 180° - (A + B) (sum of triangle)
C = 180° - (37° + 49.1°)
C = 93.9°
✔️To find c, apply the law of sines:
[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]
Plug in the values
[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]
Cross multiply
[tex] c*sin(49.1) = sin(93.9)*59 [/tex]
Divide both sides by sin(49.1)
[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]
c = 77.8766982
c ≈ 77.9 (nearest tenth)
What is the length of AB?
Answer:
10
I took the quiz ;)
Answer:
10
Step-by-step explanation:
First we need to find A and B
A(-7;-6)
B(1;0)
1.) Determine the type of solutions for the function (Picture 1)
2.) Determine the type of solutions for the function (Picture 2)
3.) Use the formula b2−4ac to determine the value of the discriminant of the function f(x)=2x2+8x+6
Use Desmos Scientific (Picture 3)
4.) Describe the transformations of the function
g(x)=−25(x−4)2+6 from the transformation of the parent function
Use phrases such as: the graph is reflected or not reflected/ the graph gets wider or narrower/ the graph slides left or right _________ units and slides up or down _________ (Picture 4)
Answer:
1) 2 nonreal complex roots
2) 1 Real Solution
3) 16
4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)
Step-by-step explanation:
1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0
We get;
y = a·x² + b·x + c
At y = 6, x = -2
Therefore;
6 = a·(-2)² - 2·b + c = 4·a - 2·b + c
6 = 4·a - 2·b + c...(1)
At y = 8, x = 0
8 = a·(0)² + b·0 + c
∴ c = 8...(2)
Similarly, we have;
At y = 8, x = -4
8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8
16·a - 4·b = 0
∴ b = 16·a/4 = 4·a
b = 4·a...(3)
From equation (1), (2) and (3), we have;
6 = 4·a - 2·b + c
∴ 6 = b - 2·b + 8 = -b + 8
6 - 8 = -b
∴ -b = -2
b = 2
b = 4·a
∴ a = b/4 = 2/4 = 1/2
The equation is therefor;
y = (1/2)·x² + 2·x + 8
Solving we get;
x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))
x =( -2 ± √(-12))/1 = -2 ± √(-12)
Therefore, we have;
2 nonreal complex roots
2) Give that the graph of the function touches the x-axis once, we have;
1 Real Solution
3) The given function is f(x) = 2·x² + 8·x + 6
The general form of the quadratic function is f(x) = a·x² + b·x + c
Comparing, we have;
a = 2, b = 8, c = 6
The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;
D = 8² - 4 × 2 × 6 = 16
The discriminant of the function, D = 16
4.) The given function is g(x) = (-2/5)·(x - 4)² + 6
The parent function of a quadratic equation is y = x²
A vertical translation is given by the following equation;
y = f(x) + b
A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)
A vertical reflection is given by an equation of the form; y = -f(x) = -x²
A narrowing is given by an equation of the form; y = b·f(x), where b < 1
Therefore, the transformations of g(x) from the parent function are;
g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.
3/4 x 2/5 x 4/3 please helpppppppppppppppppppp
Answer:
24/60 or 0.4
Step-by-step explanation:
3/4×2/5=6/20
4/3×6/20=24/60
24/60
School ends at 2:50 P.M. The school day is 6 hours and five minutes long. What time does school begin?
Answer:
School begins at 8:45
Step-by-step explanation:
take 5 away from 50 and get 45
take 6 away from 2 on a clock is 8
Use the greatest common factor and the distributive property to write an equivalent expression in factored form for the following expression: 4d +12e. Do not use spaces.
Answer:
4
Step-by-step explanation:
The greatest common factor of [tex]4d+12e[/tex] is [tex]4[/tex].
[tex]4(d+3e)[/tex]
Drag a company name into each box to show the total cost from least to greatest.
Answer:
Company A:
$3 each6% for shipping150*3*1.06 = $477 total costCompany B:
$3.10 each4% for shipping150*3.1*1.04 = $483.60 total costCompany C:
$3.20 eachNo shipping charge150*3.2 = $480 total costLeast cost | Medium cost | Greatest cost
Company A | Company C | Company B
Josh orders 12 soccer jerseys for his team, including his coach. He pays a total
of R594,60 for the jerseys. What did each jersey cost?
Answer:
4955
Step-by-step explanation:
soccer jerseys--> 12
total--> R 59460
= 59460 divided by 12
= 4955
Ans: Each jersey costs R 4955.
thenks and mark me brainliestt pls :))
We had a surprise party for Grandmama she was very surprised. Find the error in the sentence
Answer:
There needs to be a (.) or an (;)
Step-by-step explanation:
Above are two different models of the same rectangle. If the length of the model on the top is 6 cm, what is the length of the model on
the bottom?
A. 15 cm
В. 12cm
C. 21cm
D.36cm
Answer:
D.36cm
Step-by-step explanation:
If the top rectangle have 6 cm, it means 6×16=108 ft
If the two rectangles are the same, it means that the bottom rectangle have also 108 ft, so:
108÷3= 36 cm
If we remove all of the jacks, queens and kings from a 52-card deck, how many unique three card hand combinations can we create?
59,280
44,200
132,600
19,760
The no. of unique card combinations we can create is 59280
What is permutation and combination?
By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented.
There are 52 cards in a deck in which, there are 12 face cards and 40 numbered cards.
So, by using fundamental principle of counting=40x39x38 =59280
Therefore, the no. of unique card combinations we can create is 59280
Learn more about Permutation and combination,
https://brainly.com/question/1216161
#SPJ2
David wanted to go on an amusement park ride. A sign posted at the entrance read “You must be greater than 42 inches tall and no more than 57 inches tall for this ride.” Which inequality would model the height, x, required for this amusement park ride?
Answer:
42 < x less than or equal to 57
Step-by-step explanation:
The inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations
Now it is given that,
Lower limit of height must be greater than 42 inches
Upper limit of height must be less than 57 inches
If h is the height used for model.
Thus, h < 57 inches
and, h > 42 inches
Therefore the inequality model will be,
57 > h > 42
Thus, the inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.
To learn more about inequality :
brainly.com/question/26644213
#SPJ
Gabe purchased a razor for $9.99, a refill pack of razor blades forthe
regular price of $12.99, shaving cream for $2.99, and lotion for$5.55. He
had a $4.00 coupon for the razor, a $0.75 coupon for the shaving cream,
and a $2.00 manufacturer's rebate form for the refill. Determine the final
price.
A. $ 27.47
B. $ 27.44
C. $ 24,47
D. $ 24.77
Answer:
24.77
Step-by-step explanation:
The final without coupons is 31.52, but because you use 4.75 in coupons and 2.00 in manufacturer's rebate, it drops down to 24.77.
Hope this helps!
Which equation has two real solutions?
Please say whether they are equivalent or not
Answer:
Nothing is here. You may need to reupload question.
please help me i am doing over due work and i want to finish and listen to cuco and rest
Question 14
3+6x3(1+2x)3(2x+1)You can check using the distributive and commutative properties that all of these are equivalent to 6x+3.
Question 15
(7+5)p - p = 12p - p = 11p
Question 16
7 + 5(p-p) = 7 + 5(0) = 7
Question 17
No parentheses are needed.
16. Ajit borrowed 2,00.000 from a credit card company at 20% p.a. compounded quarterly.
Find the compound interest and the amount after one year.
Given:
Principal value = 2,00,000
Rate of interest = 20% p.a. compounded quarterly.
To find:
The compound interest and the amount after one year.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
The interest is compounded quarterly. So, the value of n is 4.
Putting [tex]P=200000,\ r=0.2,\ n=4,\ t=1[/tex] in the above formula.
[tex]A=200000\left(1+\dfrac{0.2}{4}\right)^{4(1)}[/tex]
[tex]A=200000\left(1+0.05\right)^{4}[/tex]
[tex]A=200000\left(1.05\right)^{4}[/tex]
[tex]A=200000(1.21550625)[/tex]
[tex]A=243101.25[/tex]
Therefore, the amount after one year is 2,43,101.25.
We know that the compound interest is the difference between amount and principal value. So,
[tex]C.I.=A-P[/tex]
[tex]C.I.=2,43,101.25-2,00,000[/tex]
[tex]C.I.=43,101.25[/tex]
Therefore, the amount is 2,43,101.25 and the compound interest is 43,101.25.
What is the vertex of f(x)=x2−12x+25 ?
Answer:
(6,-11)
Step-by-step explanation:
Based upon risk, which of the following answers ranks from high to low?
Collectables
Bonds
Stocks
Mutual Funds
Answer:
stocks, bonds, mutual funds, and collectables
Step-by-step explanation:
ILL GIVE YOU BRAINLIEST!! 33 POINTS!!!
(ONLY IF YOU GET IT CORRECT)
Answer:
80 ft
Step-by-step explanation:
the length of an arc is equal to the degree the arc makes
Answer:
A. 28π/9 ftStep-by-step explanation:
Arc length is:
2πr*80°/360° ft = 4π*7/9 ft =28π/9 ftCorrect choice is A
The measure of an angle is 5. What is the measure of its complementary angle?
Answer:
85°
Step-by-step explanation:
90° - 5° = 85°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K