Answers
Answer:
10/------ 5x+2y=14
11/------ 1x+6y=2
12/ ----- 9x+6y=12
Related Questions
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
Answers
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
We had a surprise party for Grandmama she was very surprised. Find the error in the sentence
Answers
Answer:
There needs to be a (.) or an (;)
Step-by-step explanation:
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.
Answers
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.
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?
y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equa
Answers
Answer:
10, 2x=20
10 the answer is ten
The ratio of two sums of money is 5:7 if the smaller amount is $250, what is the largest amount?
Answers
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
How do you find the unknown length for a special right angel
Answers
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
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.
Answers
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
JOeseph uses a sports drink mix. The mix is 25% orange juice and 65% cranberry juice and 10% Sprite. His bottle holds 8 cups of drink. How much cranberry juice does she need to fill the bottle?
Answers
Answer:
Cranberry juice needed to fill the bottle = 5.2 cups
Step-by-step explanation:
sports drink mix:
Orange juice = 25%
Cranberry juice = 65%
Sprite = 10%
His bottle holds 8 cups of drink.
How much cranberry juice does she need to fill the bottle?
Cranberry juice needed to fill the bottle = 65% of 8 cups
= 65/100 × 8
= 0.65 × 8
= 5.2 cups
Cranberry juice needed to fill the bottle = 5.2 cups
Orange juice needed to fill the bottle = 25% of 8 cups
= 25/100 × 8
= 0.25 × 8
= 2 cups
Orange juice needed to fill the bottle = 2 cups
Sprite needed to fill the bottle = 10% of 8 cups
= 10/100 × 8
= 0.1 × 8
= 0.8 cups
Sprite needed to fill the bottle = 0.8 cups
According to a weather report, there is a 63% chance it will rain fomorrow. What is the probability that it will
not rain tomorrow
The probability that it will not rain tomorrow is
(Type a decimal answer.)
Answers
Answer:
0,37
Step-by-step explanation:
The volume of a cylinder is 768 N in³. Find the radius of the cylinder (in inches) if the height is 3 in
Answers
First find area
768in^3/3in = 256in^2
Pi*r^2 = 256
r^2 = 256 / pi
radius = root of 256/pi
Hence radius = 9.027033337 in
To check answer
Pi*9.027033337^2 * 3in = 768in^3
Finalized answer to 2 d.p
Radius = 9.03 in
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)
Answers
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.
a sandwich shop sells cheese how can a chef cut a square pyramid shaped piece of cheese to make slices that are sqaures
Answers
Answer:Cut parallel to the base. The base of a pyramid is a square.
Step-by-step explanation:
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?
Answers
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 :
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Which equation has two real solutions?
Answers
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",
Answers
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)
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
Answers
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
Would it be A, B, Or C?
Answers
Answer:
It would be D.
Step-by-step explanation:
After graphing, option D best correlates to the red triangles (patient B).
What is the vertex of f(x)=x2−12x+25 ?
Answers
Answer:
(6,-11)
Step-by-step explanation:
Please say whether they are equivalent or not
Answers
Answer:
Nothing is here. You may need to reupload question.
Based upon risk, which of the following answers ranks from high to low?
Collectables
Bonds
Stocks
Mutual Funds
Answers
Answer:
stocks, bonds, mutual funds, and collectables
Step-by-step explanation:
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
Answers
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 is greater 6 cups or 4 quarts
Answers
Answer:
not sure but 4 quarts i think
Answer:
4 quarts is greater because it is equal to 16 cups
FAST PLEASE❗️❗️❗️❗️‼️
Answers
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
Answers
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,
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please help me i am doing over due work and i want to finish and listen to cuco and rest
Answers
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.
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)
Answers
Can someone plz help me with this one problem plz I’m trying to get to a 70
Answers
Answer:
10 2/4
Step-by-step explanation:
Answer:
look at the picture i sent
What is the length of AB?
Answers
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)
3/4 x 2/5 x 4/3 please helpppppppppppppppppppp
Answers
Answer:
24/60 or 0.4
Step-by-step explanation:
3/4×2/5=6/20
4/3×6/20=24/60
24/60
ILL GIVE YOU BRAINLIEST!! 33 POINTS!!!
(ONLY IF YOU GET IT CORRECT)
Answers
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