If 3/x = 5/y, what is the value of y/x?
Answer: 5/3
Step-by-step explanation:
1. 3/x = 5/y
2. Cross multiply
3y = 5x
3. Dividing the sides by 3
y = 5x/3
4. Dividing the sides by x
y/x = 5/3
If f(x)= 3x^3+17x^2+22x+8 and x+4 is a factor of f(x), then find ALL the zeros of f(x) algebraically.
Answer:
The fully factored form of the function f(x) is : (x+5)(x-1)(x-3)
Step-by-step explanation:
Answer number 16 please thank you
The function y = x^4 - 16x^2 has zeros at x = -4, x = 0, and x = _ and a y-Intercept at (0, _)
Answer:x=4 (0,0)
Step-by-step explanation:
Determine the zeros of function,factor the functions. Set the factored function equal to 0 and solve. Then find the y-y-intercept of the given function by setting x equal to 00and Solving for y.
A chef needs to decorate cupcakes for a birthday party. If the chef places
2
strawberry slices on top of each cupcake, which inequality represents the possible number of cupcakes,
k
, the chef could decorate with
46
strawberry slices?
The possible number of cupcakes is less than or equal to 23
How to write inequality equation?let
k = possible number of cupcakesNumber of strawberry slices = 46Number if strawberry slices on each cupcake = 2The inequality:
2k ≤ 46
divide both sides by 2
k ≤ 46 / 2
k ≤ 23
Therefore, the possible number of cupcakes is less than or equal to 23
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Can someone help me with this easy math problem.
It's a geometric sequence
common ratio=r=84/21=4First term 1.3125Formula:&
[tex]\\ \sf\longrightarrow a(n)[/tex]
[tex]\\ \sf\longrightarrow ar^{n-1}[/tex]
[tex]\\ \sf\longrightarrow 1.3125(4)^{n-1}[/tex]
A box of Cheerios is 2 inches wide, 8 inches long, and 12 inches high. The box is half empty. What is the
volume of Cheerios left in the box?
HELPPP
Answer: 96
Step-by-step explanation: formula for volume is lwh. 2 times 8 times 12 equals 192. divide that by 2 because there is only half left.
A piece of of blue yarn is 5 3/10 yards long. A piece of pink yard is 4 times as long as the blue yard. How much longer is the pink yard than the blue yard.
What happens when a base dissolves?
Answer:
When dissolved, bases release hydroxide ions, OH-(aq) into solution.
Step-by-step explanation:
Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"
Answer: It increases the concentration of OH- in solution.
Step-by-step explanation:
Which correctly shows this equation
solved for w?
The equation solved for w is:
w = A/l
The correct option is A.
What is an equation?A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.
Starting with the equation:
A/l = lw/l
We can simplify it by multiplying both sides by l:
A = lw
To solve for w, we need to isolate it on one side of the equation.
We can do this by dividing both sides by l:
A/l = w
Therefore, the required equation is A/l = w.
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ABCD is a parallelogram with AB = 24 mm and BC = 48 mm. Find the lengths of CD and AD
Answer:
Step-by-step explanation:
Select the correct answer.
Consider the given function. Which graph represents the given function?
Answer:
Given:
f(x) = 5 when x < -2f(x) = 3 when -2 ≤ x < 0f(x) = 0 when 0 ≤ x < 2f(x) = -3 when x ≥ 2< or > = open circle
≤ or ≥ = closed circle
So we are looking for:
open circle at (-2, 5) with a line to the leftclosed circle at (-2, 3) with a line segment to an open circle at (0, 3)closed circle at (0, 0) with a line segment to an open circle at (2, 0)closed circle at (2, -3) with a line to the rightTherefore, the attached is the correct answer.
Select all the correct triangles.
Which triangles in the coordinate plane are congruent to triangle A because they can be mapped onto it by a sequence of rigid transformations?
Answer:
triangle D and F
Step-by-step explanation:
triangle D and F are the same as A, just angled differently.
God bless! hope i helped someone, somehow.
Answer:
D,F
Step-by-step explanation:
What is the slope of the line that goes through the points (2,0( and (4,6)
Answer:
slope = 3x
Step-by-step explanation:
Equation is y = 3x - 6
3x is slope
One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle.
Answer:
Length = 8+7 = 15
Width = 8
Step-by-step explanation:
New
Length = x+7 , x+4
Width = x ,x+2
(x+7) x = (x+4)( x+2)
expand and simplify x =8
The length of the shorter side length of original rectangle is 8 inches and of original rectangle longer side length is 15 inches.
Area of rectangleLet l is the length and b is the breadth of the rectangle.
then the area of the rectangle is ab.
How to find the dimensions of the original rectangle?Given One side of a rectangle is 7 inches longer than another side.
then shorter side length is x and the large side length is 7+x.
then the area of the original rectangle is x(x+7)
Now calculate the sides of the new rectangle.
longer side of this rectangle decreases by 3 then new side is 7+x -3= 4+x
The shorter side increases by 2 inches then x+2.
So new rectangle area is (x+4)(x+2)
Both rectangle area is equal then
(x+4)(x+2) = x(x+7)
x² +2x+4x+8 = x²+7x
x²+6x+8 = x²+7x
x²-x²+7x-6x = 8
x = 8
Since a shorter side length is 8 inches and a longer side length is 8+7 =15 inches.
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please help me asap....
Find the area of the irregular figure.
Answer: 432 sq ft.
Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.
Devaughn is 7 years older than Sydney. The sum of their ages is 103. What is Sydney's age?
103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.
Therefore, Sydney is 48 years of age.
please help!!! I need this and I also don't understand
Answer:
Step-by-step explanation:
(i)
PQRS is a parallelogram (given)
∴ QT = TS (Diagonals of a parallelogram bisects each other)
also, QT = RM (given)
∴TS = RM
PQRS is a parallelogram,
∴RT = PT (Diagonals of a parallelogram bisects each other)
also, SM = PT (given)
∴RT = SM
TS = RM
RT = SM
∴ RTSM is a parallelogram (both pairs of opposite sides are equal in length)
(ii)
QP // RS (Opposite sides of a parallelogram are parallel)
∴ ∡RQP = ∡NRS (Corresponding ∡s)
RTSM is a parallelogram(Proved above)
∴MS // RT (Opposite sides of a parallelogram are parallel)
∴NS//RP
∴∡RNS = ∡ QRP (Corresponding ∡s)
in ΔPQR and Δ NSR,
QP = RS (Opposite sides of a parallelogram are equal)
∡RQP = ∡NRS (Proved above)
∡RNS = ∡ QRP(Proved above)
∴ ΔPQR≡ΔSRN (AAS)
Corresponding sides of ≡ Δs are equal, ∴QR = RN
help please i been stuck on this question for the last hour im on the verge of tears
Answer:
1/2
Step-by-step explanation:
It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!
Answer: the answer is 1 over 2 as a fraction
Step-by-step explanation:
Please help me with this
Answer:
Look at the photo.
Step-by-step explanation:
The formula is y=mx+b. So, for the first one you start at the coordinate (0, 2) and then move down 2 and right one.
For the second one you start at the coordinate (0, -2) and then move down two and move right one.
find two rational and irrational numbers between 2 and 2.5
Answer:
Rational:2.1,2.2
Irrational:[tex]\sqrt{5},\sqrt{6}[/tex]
Step-by-step explanation:
Trial and error
Is it true that M is perpendicular to P?
Is it true that N is perpendicular to P?
need help, prettyy stuck!
yes it is true and second is false
Please help meeeeeeeeeee
6x^3 - 15x^2 - 3x / 3x
simplify the polynomial
Answer:
6x³ - 15x² - 1
3x divided by 3x is 1
So, here we are to simplify the polynomial :
[tex] \\ \longrightarrow \sf \qquad6x^3 - 15x^2 - \frac{3x}{ 3x}\\ \\[/tex]
We can simplify it as,
[tex]\\ \longrightarrow \sf \qquad6x^3 - 15x^2 - 1 \\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionIf 100 grams of water evaporated into a gas, how much mass will the gas have?
Answer: 100 grams
Step-by-step explanation:
Mass remains constant. So 100 grams of water will be 100 grams of water vapor
Simplify the expression
Answer:
[tex]Hi, ~I'm ~beinggreat78,~ and~ am~ here~ to~ help~ you.[/tex]
The answer is D. Tanɵ. But why? Let's break it down. Tan pi + theta in the base equation should look like this...
[tex]\frac{tan\pi+ tanTheta}{1 - tan\pi * tanTheta}[/tex]
We now have to simplify this expression. Let's do that.
[tex]tan(\pi) = \frac{sin\pi }{cos\pi } = \frac{0}{-1} = 0[/tex]
Now that we have broken this problem into simpler fragments, we have to put it all together, The final equation should look like the one below!
[tex]tan(\pi + Theta) = \frac{0 + tanTheta}{1 - 0} = tanTheta[/tex]
With that information, we have solved the problem, your final answer is tanɵ
What have we learned?
We learned some knowledge on what simplifying expressions with complex mathematical terms looks like.Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use section formula ~
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{mx_2 + nx_1}{m + n} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{my_2 + ny_1}{m + n} [/tex]
And since mid point divides a line segment Into two equal parts, m : n = 1 : 1
so, take m = n = 1
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{(1 \times - 1)+(1 \times - 2)}{ 1+ 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{- 1- 2}{ 2} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{ - 3}{ 2} [/tex]
Now, let's find y - coordinate ~
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{(1 \times - 5) + (1 \times - 4)}{1 + 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{ - 5 - 4}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{ - 9}{2} [/tex]
So, coordinates of midpoint is ~
[tex]\qquad \sf \dashrightarrow \:( - \dfrac{3}{2} ,- \dfrac{9}{2} )[/tex]
If andre collects $9.80, how many cups did he sell?
Answer:
we need more information
2. a survey of 200 college graduates who have been working for at least three years found that 75 owned only mutual funds, 35 only stocks, and 90 owned both. a. what is the probability that an individual owns a stock
Using it's concept, it is found that there is a 0.625 = 62.5% probability that an individual owns a stock.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 200 graduates, 35 + 90 = 125 of them own stocks, hence:
p = 125/200 = 0.625.
There is a 0.625 = 62.5% probability that an individual owns a stock.
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A hotel is building a large new aquarium for their lobby. They know the length from the top corner to the opposite bottom corner is 13 feet long, the height is 12 feet and the length is 4 feet. Solve for the width and then determine the volume in cubic feet of water it will take to fill the aquarium
Answer:
3 ft, 144 ft³Step-by-step explanation:
Find the width as below
l² + w² + h² = d², where l- length, w- width, h- height, d- the distance between top and bottom cornersSubstitute the values and solve for w
4² + w² + 12² = 13²w² + 160 = 169w² = 9w = 3 feetNow find the volume
V = lwhV = 4*3*12 = 144 ft³Answer:
width = 3ft
volume = 144 ft³
Step-by-step explanation:
Pythagoras Theorem
[tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
The diagonal of the base of the aquarium, its height, and the length from the top corner to the opposite bottom corner forms a right triangle. As we know two of the lengths, we can use Pythagoras Theorem to calculate the unknown length (diagonal of base).
Given:
a = height of aquarium = 12 ftb = diagonal of basec = top corner to opposite corner = 13 ft[tex]\implies \sf 12^2+b^2=13^2[/tex]
[tex]\implies \sf b=\sqrt{13^2-12^2}[/tex]
[tex]\implies \sf b=5[/tex]
Now we know the length of the diagonal of the base, we can again use Pythagoras Theorem to find the width of the aquarium.
Given:
a = length of aquarium = 4 ftb = width of aquarium c = diagonal of base = 5 ft[tex]\sf \implies 4^2+b^2=5^2[/tex]
[tex]\sf \implies b=\sqrt{5^2-4^2}[/tex]
[tex]\sf \implies b=3[/tex]
Therefore, the width of the aquarium is 3 ft.
As the aquarium is modeled as a rectangular prism:
[tex]\begin{aligned}\textsf{Volume of a rectangular prism} & = \sf width \times length \times height\\ \implies \textsf{Volume of aquarium} & = \sf 3\:ft \times 4\:ft \times 12\:ft\\& = \sf 144 \:\:ft^3\end{aligned}[/tex]
