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Related Questions
Sayyy I need help on dis work
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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
Answers
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]
Can someone please help? It’s one of the last questions of the final.
Answers
Answer:
D. 12.8
Step-by-step explanation:
Pythag theorum
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
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Step-by-step explanation:
1 13 is the answer maybe
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? *
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Answer:
she has 4/10 left.
Step-by-step explanation:
7/10 - 3/10 = 4/10.
Forth time I had to ask this!!
Answer ASAP!! Will mark as brainlist!!!
Mr. Gee's class orders paperback books from a book club. The books cost $2.95 each. Shipping charges are set at $4.00, regardless of the number of books purchased.
A.) If you know how many books Mr. Gee's class orders, can you determine how much money they spend? Write the corresponding expression
B.) Use your expression to determine how much Mr. Gee's class spent buying 24 books.
C.) The class has a budget of $175 to spend on books, how many books can the class order with the $175 budget.
Answers
B.) (2.95 x 24) + 4 = $74.80
C.) (2.95 x 57) + 4 = X
2.95 x 57 = 168.15 + 4 = 172.15
so basically they can buy 57 books without going over $175
17.
Use Mathematical induction to prove:
4 + 9 +14 +…..+(5n-1) = ( n/2) (5n+3)
Answers
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/24393371Stephen and five of his friends went out to eat. They decided to split the bil
evenly. Each person paid $13.21. What was the total bill?
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Hi
Stephen and his five friends = 6 people at the restaurant
Let's call X the amount of the bill.
so if X/6 = 13.21
X = 13.21 * 6
X = 79.26
What number when multipled by 1 1/3 has a product of 1
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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.
Learn more about expressions here:
https://brainly.com/question/10978794
#SPJ2
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answers
Answer:
Pick two points Do y2-y1/x2-x1So the slope is 2/3For jwang8989
Don't ask why
Answers
Answer:
what
Step-by-step explanation:
Answer:
taking the points
Step-by-step explanation:
Which expression is equivalent to (x^1-4 y^16)^ 1/2
Answers
Answer:
The expression is equivalent to (x¼y16)½We apply exponential propertyMultiply the outside exponent 1/2 with exponents inside the parenthesis(x¼y16)½(x¼*½y16*½)1/4 times 1/2 is 1/8 16 times 1/2 is 8so expression becomes(x⅛y8)So the anxswer is x^1/8y^8Or x⅛y8.Answer:B
Step-by-step explanation:
edge 2021
Help please
Multiply. Write answer in simplest form.
1. 3x8/9 2. 1 4/5x2 1/3
Explain how you got the answer
Answers
1. 2 2/3
2. 4.2
Explanation:
1. 8/9*3=24/9=8/3=2 2/3
2. 9/5*7/3 9*7=63 5*3=15 so 63/15=21/5=4 1/5=4.2
Geomtry help please .
Answers
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 ☺️!
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?
Answers
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.
!Extremely Urgent!
Given the equation, 3x-2y=-10, identify the slope and y-intercept.
A. slope: -3/2, y-intercept: 5
B. slope: 3/2, y-intercept: 5
C. slope: -2/3, y-intercept: -5
D. slope: -3, y-intercept: -10
Answers
Answer:
B. slope: 3/2, y-intercept: 5
Step-by-step explanation:
Rewrite in slope-intercept form. The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
8x + 10 = 4x + 30 help!!!!!!!!!!!!!!!!!!!!!!
Answers
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
The ratio of boys to girls on rowans swim team is 2:3.if there are 40 total swimmers on the team,how many of them are girls?
Answers
Answer:
The ratio of girls is 24.
Step-by-step explanation:
If the total amount of swimmers is 40, you can divide it by 8 to get 5 multiples. If three of those 5's belong to the ratio of girls, the equation is 3 x 8. The answer is 24.
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.
Answers
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
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
Answers
Answer:
18 Dollars
Step-by-step explanation:
20 - (6 + 2 + [3x2]) = 9 x 2 = 18 :D
Which is the correct answer?
Note: ( if you give me a silly or absurd answer I will report you)
Answers
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)
The triangle shown below has an area of 10 units2.
Find x.
7
4
x
units
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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
Plz help me
I forgot
How to solve
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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].
[4] 7. Find f if
f"(x) = x^2+ sin x
f'(0) = 2
f(0) =4
Answers
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]Denzel makes $4,800 at her job. Next month, her salary will increase by 3%. How much will Denzel make next month with her salary increase?
To determine her salary increase, select both the correct setups for this problem.
A. 4800 + 4,800×1.03
B. 4,800 + 4,800×0.03
C.4,800×3
D.4,800×1.3
E.4,800 + 4,800×1.3
F.4,800×0.03
G.4,800×1.03
Answers
Because when you times 4800 times 0.03 you get 3% of 4800 hundred add that to her original salary you get b
Given a function described as equation y=3x +4, what is y when x is 1, 2, and 3?
Answers
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.
Which of the following polynomials contains like terms?
2z3+z5-9
x+x2+3x3+x5
y12-y11+y10-4y
z5+z5-z2-4
Answers
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.
What is the average rate of change from x = 0 to x = 5?
Answers
Answer:
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
A conference is ordering gift bags for each attendee. The cost will be $14.50 per bag plus a $80 set-up fee. If the total exceeds $500 there is a discount. How many gift bags must the conference order to receive the discount?
Answers
the confrence should order 29 or more bags
Let kids denote the number of children ever born to a woman, and let educ denote years of education for the woman. A simple model relating fertility to years of education is
Answers
Answer:
Kids = β(0) + β(1) educ + E
Step-by-step explanation:
Kids = β(0) + β(1) educ + E
Where "E" stands in for other factors, such as maybe an error in the estimated age of the mother, an error in the predicted income level, or even an error in religion. And we all know for certainty, that whereever education is being discussed, age and income would always be related.
