Answer:
2d-5
Step-by-step explanation:
Take out or divide everything in the expression by -4
So, (-8d+20) ÷ -4 = 2d-5
To check your answer, multiply:
-4 × (2d-5) = -8d+20
The linear expression in one variable -8d + 20 can be written as -4(2d - 5) after factoring -4 from it.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The linear expression in one variable is:
= -8d + 20
Here d is the variable
Taking common as - 4 from the linear expression:
= -4(2d - 5)
Thus, the linear expression in one variable -8d + 20 can be written as -4(2d - 5) after factoring -4 from it.
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Jeff and Kevin went to the fair with $20 each. They paid $6 for two rides, $2 for cotton candy, and bought two drinks at $3 each. How much money do they have left over?
$18
$20
$14
$26
Answer:
18 Dollars
Step-by-step explanation:
20 - (6 + 2 + [3x2]) = 9 x 2 = 18 :D
For jwang8989
Don't ask why
Answer:
what
Step-by-step explanation:
Answer:
taking the points
Step-by-step explanation:
Geomtry help please .
Answer:
angle ABC= 47°
angle CAD= 38°
Step-by-step explanation:
angle ABC= 180-(49+84)= 47°
because all angles in a traingle add up to 180°
angle ACD= 180-84= 96°
because angle on a straight line add up to 180°
so, angle CAD= 180-(46+96)= 38°
because all angles in a traingle add up to 180°
HOPE IT HELPS ☺️!
In a certain chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 874 grams of copper. How many grams of zinc does it contain?
It contains
grams of Zinc
Answer:
138 grams of zinc
Step-by-step explanation:
Zinc : copper = 3 : 19
Let amount of zinc = 138 grams
3 : 19 :: x : 874
Product of means = product of extremes
19 * x = 3 * 874
x = [tex]\frac{3*874}{19}[/tex]
x = 3 * 46
Zinc = 138 grams
[tex]\underline{\underline{\sf \bigstar \qquad Solution \qquad \: \bigstar}} \\ [/tex]
Copper and Zinc in the ratio = 3:19Weight of copper in chemical = 874 gramsLet weight of copper be 3x and weight of zinc be 19x.
☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}} \\[/tex]
[tex]:\implies \textsf {Total weight = weight of copper + weight of zinc} \\ \\ \\ [/tex]
[tex]:\implies \textsf {Total weight = 3x +19x} \\ \\ \\ [/tex]
[tex]:\implies \underline{ \boxed{ \textsf {Total weight = 22x}}} \\ \\ \\ [/tex]
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\dashrightarrow\:\:\textsf{ Weight of chemical = weight of zinc + weight of copper} \\ \\ \\ [/tex]
[tex]\dashrightarrow \: \: \sf 22x = 3x + 19x \\ \\ \\ [/tex]
[tex]\dashrightarrow \: \: \sf 22x = 3x + 874 \\ \\ \\ [/tex]
[tex]\dashrightarrow \: \: \sf 22x - 3x = 874 \\ \\ \\ [/tex]
[tex]\dashrightarrow \: \: \sf 19x = 874 \\ \\ \\ [/tex]
[tex]\dashrightarrow \: \: \sf x = \dfrac{874}{19} \\ \\ \\ [/tex]
[tex]\dashrightarrow \: \: \underline{\boxed{ \sf x = 46}} \\ \\ \\[/tex]
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\bigstar\:\underline{\frak{Finding \: the \: weight \: of \: the \: zinc \: in \: a \: chemical : }}[/tex]
[tex]\longrightarrow\:\:\sf weight \: of \: zinc = 3x \\ \\ \\ [/tex]
[tex]\longrightarrow\:\:\sf weight \: of \: zinc = 3 \times 46 \\ \\ \\ [/tex]
[tex]\longrightarrow\:\: \underline{ \boxed{\sf weight \: of \: zinc =138 \: grams}} \\ \\ \\ [/tex]
[tex]\therefore\:\underline{\textsf{The chemical contains \textbf{138 grams}} \textsf{ of zinc}}. \\ [/tex]
The triangle shown below has an area of 10 units2.
Find x.
7
4
x
units
Answer:
x = 5 unitsStep-by-step explanation:
area of a triangle = 1/2 base * height
where area = 10 units²
height = x units
base = 4
plugin values into the formula:
10 = 1/2 * 4 * x
x = 10 (2)
4
x = 5 units
helppp i can’t figure this answer out
Christian reads 1/4 book every 2/3 week.
How many books does Christian read per week?
Answers: A)1/6 book B)3/8 books C)2 2/3 books or D)6 books. Please answer fast!!!!! THX
Which of the following polynomials contains like terms?
2z3+z5-9
x+x2+3x3+x5
y12-y11+y10-4y
z5+z5-z2-4
Answer:
D
Step-by-step explanation:
Like terms are terms in which the variables and exponents match exactly.
If they satisfy the above constraint, then we can combine their coefficients.
In the first expression, the exponents do not match.
In the second expression, the exponents also do not match.
In the third expression, the exponents do not match as well.
However, in the fourth expression, the first two terms have the same variable with the same exponent.
Therefore, we can combine them. Each has a coefficient of 1. Then the resulting expression will be:
[tex]z^5+z^5-z^2-4=2z^5-z^2-4[/tex]
So, our answer is D.
Simplify -16/21 pleaseeee
Answer:
-16/21 is already in it's simplest form :D
Step-by-step explanation:
if you want the decimal form, then it's : -0.7619047619
Hope this helps! :3
plz mark as brainliest!
5 points
What is the simplified form of the following expression? *
-(4x - 9)
Find the area of one side of the "winding wall" standing orthogonally on the curve y= x^2 , 3<= x <=5 and beneath the curve on the surface f(x,y) = x + √y.
Answer: The required area is 131.6626
Step-by-step explanation:
Given that;
equation of the curve; y=x², 3≤ x ≤5
and equation of the surface; f(x,y) = x + √y
Find the Area A = ∫_c ( x + √y) dS
Find the parametrization of the curve.
so let x = a then y = a²
then dx/da = 1, dy/da = 2a
since 3≤ x ≤5 and x = a hence; 3≤ a ≤5
so the area of one side of winding wall will be;
A = ∫_c ( x + √y) dS
= ⁵∫₃ ( a + √a²) √[(dx/da)² + (dy/da)²] da
= ⁵∫₃ ( a + a ) √[(1)² + (2a)²] da
= ⁵∫₃2a√(1 + 4a²) da
= [1/6(4a² + 1 )^3/2)]₃⁵
= - 37/6×√37 + 100/6×√101
= -37.5103 + 169.1729
= 131.6626
Therefore the required area is 131.6626
The price of orange juice is believed to increase by 14% over the next year. If a gallon of orange juice costs $3.00 now, what will the price be in a year, after the increase?
HELP!!!!
Answer:
3.42
Step-by-step explanation:
Sam and Sully are electricians. The graph represents the amount in dollars that Sam charges in terms of the number of hours he works. The amount in dollars that Sully charges in terms of the number of hours he works is represented by the function y = 22x + 36. The initial amount Sam charges is the initial amount Sully charges. Sam’s hourly rate is Sully’s hourly rate.
Answer:
1st blank, more than.
2nd blank, less than
Step-by-step explanation:
Answer: 1st more than 2nd less than
Step-by-step explanation:
A cheese manutacturer uses 65 gallons of milk to make 52 pounds of cheese. The weight of the cheese is directly proportional to the number of gallons of milk used to make the cheese,
Which graph represents the relationship between the number of gallons of milk and the number of
pounds of cheese that can be made from the milk?
Answer:
C
Step-by-step explanation:
Gallons of milk = x
Pounds of cheese = y
65 gallons will make 52 pounds of cheese. That is (65, 52)
Given that the relationship is proportion, therefore, the constant of proportionality would be y/x = 52/65
Simplify,
52/65 = ⅘ (4 pounds of cheese to 5 galloons of milk)
The graph that represents the relationship would have a unit rate of ⅘. Or in other words, would have a point (5, 4) which lies on the graph.
Graph C is the right option.
Can someone please help? It’s one of the last questions of the final.
Answer:
D. 12.8
Step-by-step explanation:
Pythag theorum
What is the average rate of change from x = 0 to x = 5?
Answer:
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 1 ≤ x ≤ 7
x f(x)
1 13
4 16
7 19
10 22
Step-by-step explanation:
1 13 is the answer maybe
Plz help me
I forgot
How to solve
Given:
A cyclic quadrilateral and two opposite angles of it in the form of y.
To find:
The value of y.
Solution:
We know that, opposite angles of a cyclic quadrilateral are supplementary angles. So, their sum is [tex]180^\circ[/tex].
The measures of opposite angles of cyclic quadrilateral are y and 2y. So,
[tex]y+2y=180^\circ[/tex]
[tex]3y=180^\circ[/tex]
Divide both sides by 3.
[tex]y=\dfrac{180^\circ}{3}[/tex]
[tex]y=60^\circ[/tex]
Therefore, the value of y is [tex]60^\circ[/tex].
Sayyy I need help on dis work
Plz answer the question will give brainliest
Answer:
1: Yes
Step by-step explanation:
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
Pick two points Do y2-y1/x2-x1So the slope is 2/38x + 10 = 4x + 30 help!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=5
Step-by-step explanation:
Answer:
x= 5
Step-by-step explanation:
8x + 10 = 4x + 30
4x +10 = 30
4x = 20
x = 5
Hannah had 7/10 of a candy bar. She gave 3/10 of the candy bar to Carlos. What fraction of the candy bar does she have left? *
Answer:
she has 4/10 left.
Step-by-step explanation:
7/10 - 3/10 = 4/10.
Which is the correct answer?
Note: ( if you give me a silly or absurd answer I will report you)
Step-by-step explanation:
y = x² - 16
x² = y + 16
x = sqrt(y + 16) because x is non-negative.
Hence the inverse function is f^(-1)(x) = sqrt(x + 16). (A)
als den is 12 feet longer than it is wide. if the dens area is 405 square feet, what are the dimensions of the room?
Answer:
The room has a length of 27 feet and width 15 feet.
Step-by-step explanation:
Given that:
Area of den = A = 405 square feet
Let,
L represent the length of room and W represent the width of room.
L = W+12
Area = Length * Width
[tex]405=(W+12)*W\\405=W^2+12W\\W^2+12W-405=0[/tex]
Factorizing the equation
[tex]W^2-15W+27W-405=0\\W(W-15)+27(W-15)=0\\(W-15)(W+27)=0\\[/tex]
Either,
W-15 = 0
W=15
Or,
W+27=0
W=-27
As the width cannot be negative, therefore,
Width of den = 15 feet
Length of den = 15+12 = 27 feet
Hence,
The room has a length of 27 feet and width 15 feet.
Find each quotient write the answer in simplest form 2 3/4 Divided by 1 7/8
Answer: 22/15, or 1 7/15
Step-by-step explanation:
1. Convert each mixed number into an improper fraction
2 3/4 -> 11/4
1 7/8 -> 15/8
2. Divide fractions using the keep, change, flip method
Keep the first fraction: 11/4
Change the division sign to a multiplication sign
Flip the second fraction: 15/8 -> 8/15
3. Evaluate by multiplying the numerators and denominators together, respectively
11/4 x 8/15
88/60
4. Simplify
88/60 -> 44/30 -> 22/15
The quotient is 1 7/15
What is division of fraction?The division of fractions means dividing a fraction into further equal parts.
For example, If you have three-fourth, and you divided each into 2 parts you would get a total of six, but this would represent six-eighths of the total.
Given are two mixed fractions, 2 3/4 and 1 7/8, we need to divide them,
Convert each mixed number into an improper fraction :-
2 3/4 = 11/4
1 7/8 = 15/8
Divide fractions :-
The second fraction we be reciprocated, and both will get multiplied,
11 / 4 x 8 / 15
Evaluate by multiplying the numerators and denominators together, respectively
88/60 = 22 / 15
= 1 7/15
Hence, the quotient is 1 7/15
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17.
Use Mathematical induction to prove:
4 + 9 +14 +…..+(5n-1) = ( n/2) (5n+3)
Answer: plse use the given formula in rs aggarwal book
Step-by-step explanation:
To prove by mathematical induction, let Pₙ be the equation:
Let Pₙ be 4 +9 +14 +...+(5n -1)= (n/2)(5n +3).
1) Base step: prove P₁ is trueWhen n=1,
LHS= 4
RHS
[tex] = \frac{1}{2} (5 + 3)[/tex]
[tex] = \frac{1}{2} (8)[/tex]
= 4
= LHS
∴ P₁ is true.
2) Assume Pₙ is true,i.e. 4 +9 +14 +...+(5n -1)= (n/2)(5n +3)
3) Induction step: prove Pₙ₊₁ is trueFind Pₙ₊₁ by substituting (n+1) into n on both sides.
Pₙ₊₁: 4 +9 +14 +...+(5n -1)+ [5(n+1) -1]=
[tex]( \frac{n + 1}{2} )[5(n + 1) + 3][/tex]
Prove that the LHS is equal to the RHS.
LHS
= 4 +9 +14 +...+(5n -1)+ [5n +5-1]
[tex]= \bf{4 +9 +14 +...+(5n -1)}+ (5n +4)[/tex]
Substitute the value of Pₙ in (2) into bolded expression:
[tex] = \frac{n}{2} (5n + 3) + 5n + 4[/tex]
[tex] = \frac{5}{2} n^{2} + \frac{3}{2}n + 5n + 4 [/tex]
[tex] = \frac{1}{2} (5 {n}^{2} + 3n + 10n + 8)[/tex]
[tex] = \frac{1}{2} (5 {n}^{2} + 13n+ 8)[/tex]
[tex] = \frac{1}{2} (n + 1)(5n + 8)[/tex]
[tex] = \frac{n + 1}{2} (5n + 8)[/tex]
[tex] = \frac{n + 1}{2} [5(n + 1) + 3][/tex]
= RHS
(shown)
4) Write concluding statements∴ If Pₙ is true, Pₙ₊₁ is true
Since P₁ is true, Pₙ is true for all positive integers of n.
To learn more about mathematical induction, do check out the following!
https://brainly.com/question/24393371What number when multipled by 1 1/3 has a product of 1
Answer: 3/4
.........................
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The number when multiplied by 1 1/3 has a product of 1 is 3/4.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Example:
5 + 3x is an expression.
5x = 1/2 is an expression.
We have,
Number = M
The number when multiplied by 1 1/3 has a product of 1.
This can be written as:
M x [tex]1\frac{1}{3}[/tex] = 1
[tex]1\frac{1}{3}[/tex] = 4/3
So,
M x 4/3 = 1
Multiply both sides by 3/4.
M x 4/3 x 3/4 = 1 x 3/4
M = 3/4
Thus,
The number when multiplied by 1 1/3 has a product of 1 is 3/4.
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Given a function described as equation y=3x +4, what is y when x is 1, 2, and 3?
Answer:
when x=1 y=7, when x=2 y=10, when x=3, y=13
Step-by-step explanation:
Answer:
When x = 1, y = 7
When x = 2, y = 10
When x, = 3, y = 13
Step-by-step explanation:
Everytime X increases by one, Y increases by 3.
[4] 7. Find f if
f"(x) = x^2+ sin x
f'(0) = 2
f(0) =4
Answer:
[tex]f(x) = \frac{x^4}{12} - sin(x) + 3x + 4[/tex]
General Formulas and Concepts:
Calculus
AntiderivativesIntegration Constant C[Int Rule] Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C[/tex]Integration Property 1: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Property 2: [tex]\int {f(x)+g(x)} \, dx = \int {f(x)} \, dx + \int {g(x)} \, dx[/tex]Step-by-step explanation:
Step 1: Define
f"(x) = x² + sin(x)
Condition f'(0) = 2
Condition f(0) = 4
Step 2: Integrate Pt. 1
Set up: [tex]f'(x) = \int {f"(x)} \, dx[/tex]Substitute: [tex]f'(x) = \int [{x^2 + sin(x)}] \, dx[/tex]Rewrite [Int Property 2]: [tex]f'(x) = \int {x^2} \, dx + \int {sin(x)} \, dx[/tex]Integrate [Reverse Power Rule/Trig]: [tex]f'(x) = \frac{x^3}{3} - cos(x) + C[/tex]Step 3: Find f'(x)
Use the given condition to find the differential equation.
Substitute: [tex]f'(0) = \frac{0^3}{3} - cos(0) + C[/tex]Substitute: [tex]2 = \frac{0^3}{3} - cos(0) + C[/tex]Evaluate: [tex]2 = 0 - 1 + C[/tex]Solve: [tex]3 = C[/tex]Define: [tex]f'(x) = \frac{x^3}{3} - cos(x) + 3[/tex]Step 4: Integrate Pt. 2
Set up: [tex]f(x) = \int {f'(x)} \, dx[/tex]Substitute: [tex]f(x) = \int [{\frac{x^3}{3} - cos(x) + 3}] \, dx[/tex]Rewrite [Int Property 2]: [tex]f(x) = \int {\frac{x^3}{3} } \, dx + \int {-cos(x)} \, dx + \int {3} \, dx[/tex]Rewrite [Int Property 1]: [tex]f(x) = \frac{1}{3} \int {x^3} \, dx - \int {cos(x)} \, dx + \int {3} \, dx[/tex]Integrate {Reverse Power Rule/Trig]: [tex]f(x) = \frac{1}{3}(\frac{x^4}{4} ) - sin(x) + 3x + C[/tex]Simplify: [tex]f(x) = \frac{x^4}{12} - sin(x) + 3x + C[/tex]Step 5: Find f(x)
Use the given condition to find the equation.
Substitute: [tex]f(0) = \frac{0^4}{12} - sin(0) + 3(0) + C[/tex]Substitute: [tex]4 = \frac{0^4}{12} - sin(0) + 3(0) + C[/tex]Evaluate: [tex]4 = 0 - 0 + 0+ C[/tex]Solve: [tex]4 = C[/tex]Define: [tex]f(x) = \frac{x^4}{12} - sin(x) + 3x + 4[/tex]