Answer:
y = 2x + 3
Step-by-step explanation:
Hello!
Solve for y by isolating the variable.
Solve for y[tex]-20x + 10y = 30[/tex][tex]10y = 30 + 20x[/tex][tex]y = \frac{30 + 20x}{10}[/tex][tex]y = \frac{(10)(3 + 2x)}{10}[/tex][tex]y = 3 + 2x[/tex][tex]y = 2x + 3[/tex]The solution is y = 2x + 3.
To Calculate :-
Value of y.Solution :-
⇒ -20x + 10y = 30
☆ Transposing (-20x) to R.H.S. sign would be changed to positive.
⇒ 10y = 30 + 20x
⇒ y = 30 + 20x / 10
⇒ y = 10 (3 + 2x) / 10
☆ Cancelling 10,
⇒ y = 3 + 2x / 1
⇒ y = 2x + 3
find the volume of the figure below. pls show solution:)
Answer:
294pi
Step-by-step explanation:
1/3*pi*r^2*h=V
1/3*pi*49*18=V
V=294pi
A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles 3:4; but today the greedy hamster placed another 2 pounds of seeds in the bigger pile. He also ate 1/4 pound from the smaller pile and now the quantities of seeds in those piles is in the ratio of 5:16. What was the weight of each pile yesterday
The weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles was 3:4
Let 3x and 4x are the seeds from the smaller and bigger pile.
= 4x + 2 (greedy hamster placed another 2 pounds of seeds in the bigger pile)
= 3x - 1/4 (ate 1/4 pound from the smaller pile)
4x + 2 = 5x
Because the quantities of seeds in those piles is in the ratio of 5:16
After solving:
x = 2
Smaller pile weight = 3x = 3(2) = 6
Bigger pile wieght = 4x = 4(2) = 8
Thus, the weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4
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4. Debbie's nephew comes to live with them over the summer. He eats the same amount as each
of the other three kids. How much does it cost each morning to feed all four kids now?
Show your work.
Note: To feed one kid each morning, it costs $1.12
Each kid eats 1.3 tubs of yogurt and 3.3 ounces of granola each morning.
Answer:
$4.48
Step-by-step explanation:
It takes $1.12 to feed one kid, to find the cost of all four kids we multiply 1.12 by 4
1.12*4 = $4.48
Place the indicated product in the proper location on the grid
(a+b)(a-2b)
The product (a+b)(a-2b) is a^2 - ab - 2b^2
How to evaluate the product?The product expression is given as:
(a+b)(a-2b)
Expand the bracket
a * a - a * 2b + b * a - b * 2b
Evaluate the product
a^2 - 2ab + ab - 2b^2
Evaluate the like terms
a^2 - ab - 2b^2
Hence, the product (a+b)(a-2b) is a^2 - ab - 2b^2
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A horticulture class is filling planters with soil. Each planter is to be filled full.
How many cubic feet of soil will be needed to fill 15 planters measuring 2 feet by
3 feet by 1 foot?
O a.) 55 cu ft
Ob.) 45 cu ft
Oc.) 35 cu ft
O d.) 48 cu ft
Answer:
90 ft³
Step-by-step explanation:
V = LWH
V = (2 ft)(3 ft)(1 ft)
V = 6 ft³
Each planter has a volume of 6 ft³.
total volume = 15 × 6 ft³ = 90 ft³
Help? I tried the first two, can't get them. I don't know how I got the third.
Answer:
See below
Step-by-step explanation:
(6x+14)(x-8) = Expand
6x^2 - 48x + 14x - 112 =
6x^2 - 34x-112 A = 6 B = -34
Answer:
Step-by-step explanation:
[tex]x(6x+14)-8(6x+14)\\6x^2+14x-48x-112\\[/tex]
Rest, you have to substitute the value. Such as A= -112
Help me with this question please :)
Explanation:
There are 7 ways to pick the first place position, then 6 ways for second place, 5 for third, and so on. We count down until we get to 1
7,6,5,4,3,2,1
Multiply out those values to get the final answer. On many calculators this can be done using the factorial button, indicated as an exclamation mark
7! = 7*6*5*4*3*2*1 = 5040
Round the following items to the nearest £1:
Item
Cost
Cost rounded to nearest £1
Notebook
£2.15
£
Pencil Case
£3.80
£
Colouring Pencil
£1.49
£
Answer:
1. Colouring Pencil 2. Notebook 3. Pencil Case
Step-by-step explanation:
Use the function below to find F(-4).
Answer:
D
Step-by-step explanation:
Answer:
1/16
Step-by-step explanation:
To evaluate the function f(-4), we let x =4 in f(x) = [tex]2^{x}[/tex]
f(-4) = [tex]2^{-4}[/tex]
= 1/[tex]2^{4}[/tex]
=1/16
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation of the plecewise function represented in the graph to its corresponding plece of the domain.
Matching each equation of the plecewise function represented in the graph will be:
2 < x < 3 = 3 - x0 < x < 2 = 1x = 2 = x3 < x < 5 = 5 - xHow to illustrate the information?It should be noted that a domain simply means the set of inputs that are accepted by the function.
In this case, the equation of the piecewise function represented is given.
The graph is attached.
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are the two figures similar? if so give the similarity ratio of the smaller figure to the larger figure. explain why or why not
Answer: no they are not similar
Step-by-step explanation: if you find the ratio of sides 85:17, it is 5
The ratio of sides 30 to 6 is also 5
However, the ratio of sides 54 to 9 is 6 so it is not similar
The ratio has to be the same for all sides to be similar
The common _____ of two rays that make an angle is called the vertex.
your answer goes here
Answer:
endpoint or straight lines
Step-by-step explanation:
same
Find the compound amount and the interest earned when the given investment has continuous compounding.
$11,000 at 2.3% for 8 years
The compound amount and the interest earned are $13,222.17 and $2,222.17 respectively.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We know the formula for continuous compounding:
[tex]\rm A = P(e)^{rt}[/tex]
[tex]\rm A = 11000(e)^{0.023\times8}[/tex]
A = $13,222.17
I = A - P = 13,222.17 - 11000
I = $2,222.17
Thus, the compound amount and the interest earned are $13,222.17 and $2,222.17 respectively.
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A blue line with 5 orange tick marks then one red tick mark then 4 orange tick marks. the number zero is above the red tick mark. calculate the final displacement from 0 if an object first moves 3 cm to the left and then 5 cm to the right. the final displacement is cm to the .
The final displacement is 2cm in the right.
Given that the object begins from 0 and moves 3 cm towards the left side and then, 5 cm towards the right side.
The displacement is known as shortest distance between the initial and final positions.
Let the x-axis be the positive, +ve, and on the right side and negative -ve on the left side.
Thus, displacement would be:
D= 0 -3 +5
D= 2 cm
This implies that the object displaces 2cm towards the right side
Hence, the final displacement when object moves from 0 and 3 cm to the left and then 5 cm to the right is 2cm in the right side.
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Answer:
2cm to the right
Step-by-step explanation:
i got this right hope it helps :)
A fair coin is flipped twice. What is the probability of showing heads on both flips?
Answer:
0.25 or 1/4
Step-by-step explanation:
P(coin is flipped as head) = 0.5 or 1/2 (one of 2 sides)
P(coin is flipped as head twice) = P(coin is flipped as head) x P(coin is flipped as head)
= 0.5 x 0.5
= 0.25 or 1/4
6 times the sum of a number q and 9
Answer:
6(q + 9)
Step-by-step explanation:
if f(x)=4x-x^2 find f(x+h)-f(x+h)/2h
Answer:
0
Step-by-step explanation:
same numerator for that it is zero
Answer: A
Step-by-step explanation:
Draw a vertical line through a normal distribution for
each of the following z-score locations. Determine
whether the tail is on the right or left side of the line
and find the proportion in the tail.
z= 1.00
z= 0.50
z= -1.25
z= -0.40
The proportion in the tail with regards to the z scores will be:
z = 1.00 = 0.1587z = 0.50 = 0.3085z = -1.25 = 0.1056z = -0.40 = 0.3446How to calculate the values?a. z= 1.00
P(z > 1.00) = 1 - P(Z < 1.00)
= 1 - 0.8413
= 0.1587
The tail will be on the right side.
The proportion of the tail will be 0.1587.
b. z = 0.50
P(z > 0.50) = 1 - P(Z < 0.50)
= 1 - 0.6915
= 0.3085
The tail will be on the right side.
The proportion of the tail will be 0.3085
c. z= -1.25
P(z < -1.25)
= 0.1056
The tail will be on the left side.
The proportion of the tail will be 0.1056.
d. z= -0.40
P(z < -0.40)
= 0.3446
The tail will be on the left side.
The proportion of the tail will be 0.3446.
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what is numrical in math and complex function?
[tex] \sqrt{ - i} [/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{- i} =\sqrt{(-1)i} =\sqrt{i^2i} =i\sqrt{i}[/tex]
which expression is equivalent to 6 to the power of 4 x 6 to the 3rd power
Answer:
6^4 * 6^3
Step-by-step explanation:
A living room is 12 feet long and 10 feet wide. If the ceiling is 10 feet high, what is the total surface area of the
four walls?
Answer:
if we plus 12 and 10the answer is 22 feet
find the magnitude and direction
(WILL GIVE BRANLIEST!!)
The magnitude of the resultant vector is 22.6 m and the direction is 56.8⁰.
Resolution of vector A into x and y components
Ax = A cosθ
Ay = A sinθ
Ax = 7.7 x cos(27.8)
Ax = 6.81 m
Ay = 7.7 x sin(27.8)
Ay = 3.59 m
Resolution of vector B into x and y componentsBx = B cosθ
By = B sinθ
θ with respect to x - axis = 90 - 20 = 70⁰
Bx = 16.3 m x cos(70)
Bx = 5.575 m
By = 16.3 m x sin(70)
By = 15.32 m
Sum of vectors in x directionVx = Ax + Bx
Vx = 6.81 m + 5.575 m = 12.385 m
Sum of vectors in y directionVy = Ay + By
Vy = 3.59 m + 15.32 m = 18.91 m
Resultant vectorV = √(Vy² + Vx²)
V = √(18.91² + 12.385²)
V = 22.6 m
Direction of the vectortan θ = Vy/Vx
tan θ = (18.91)/(12.385)
tan θ = 1.527
θ = arc tan (1.527)
θ = 56.8⁰
Thus, the magnitude of the resultant vector is 22.6 m and the direction is 56.8⁰.
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Which equation can be used to solve the problem? 10 is 50 percent of what number? StartFraction 10 divided by 1 Over 50 divided by 1 EndFraction = StartFraction 10 Over 50 EndFraction StartFraction 100 times 2 Over 50 times 2 EndFraction = StartFraction 200 Over 100 EndFraction StartFraction 10 divided by 2 Over 50 divided by 2 EndFraction = StartFraction 5 Over 25 EndFraction StartFraction 50 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 10 Over 20 EndFraction Mark this and return
The option fourth StartFraction 50 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 10 Over 20 EndFraction is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Let x be the number.
According to the problem.
50% of x = 10
x = 10 ÷ 50%
= 10×(50/100)
= (50÷5)/(100÷5) = 10/20
Thus, the option fourth StartFraction 50 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 10 Over 20 EndFraction is correct.
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Please solve this question
The probability that a randomly selected x-value from the distribution will be in the interval:
P(35 < x < 45) = 0.6827 and,P(30 < x < 40) = 0.47725What is the probability of a normal distribution?The probability of a normal distribution can be determined from the symmetrical curve between 1 to 100%.
From the information given:
Mean = 40Standard deviation = 5To determine the probability that a randomly selected x-value is in the given interval:
P(35<x<45)P(30<x<40)[tex]P(35 < x < 45) = P(\dfrac{35-40}{5} < Z < \dfrac{45-40}{5})[/tex]
[tex]P(35 < x < 45) = P(\dfrac{-5}{5} < Z < \dfrac{5}{5})[/tex]
[tex]P(35 < x < 45) = P(-1 < Z < 1)[/tex]
[tex]\mathbf{P(35 < x < 45) = P[Z\le 1] -P[Z\le -1]}[/tex]
Using normal distribution table:
P(35 < x < 45) = 0.8414 - 0.1587
P(35 < x < 45) = 0.6827
[tex]P(30 < x < 40) = P(\dfrac{30-40}{5} < Z < \dfrac{40-40}{5})[/tex]
[tex]P(30 < x < 40) = P(\dfrac{-10}{5} < Z < \dfrac{0}{5})[/tex]
[tex]P(30 < x < 40) = P(-2 < Z < 0)[/tex]
[tex]\mathbf{P(30 < x < 40) = P[Z\le0]-P[Z\le -2]}[/tex]
Using normal distribution table:
P(30 < x < 40) = 0.5 - 0.02275
P(30 < x < 40) = 0.47725
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Which of the following equations is correctly calculated?
Answer:
d) -8 × 3 = -24
Step-by-step explanation:
a) -18 ÷ 6 = -3
b) 30 ÷ 3 = 10
c) -7 × -7 = 49
d) -8 × 3 = -24
Above from all, option d is done correctly.
Note: when negatives are multiplied together or divided they cancel out to being positive. For example: -1 × -1 = 1
Hello!
Let's solve to verify whether the equations are true.
⇒ -18 ÷ 6 = -3
⇒ Given answer : 3
⇒ Incorrect
⇒ 30 ÷ 3 = 10
⇒ Given answer : -10
⇒ Incorrect
⇒ -7 × -7 = 49
⇒ Given answer = -49
⇒ Incorrect
⇒ -8 × 3 = -24
⇒ Given answer = 24
⇒ Correct
∴ The equation which is correctly calculated is -8 × 3 = -24.
Graph the exponential function g (x) = 4* -1
To do this, plot two points on the graph of the function, and also draw the asymptote. Then click on the graph-a-function button.
Additionally, give the domain and range of the function using interval notation.
I assume you meant [tex]g(x)=4^x -1[/tex].
The graph is shown in the attached image.
The two points on the graph are (0,0) and (1, 3).The asymptote is y = -1.The domain is [tex](-\infty, \infty)[/tex].The range is [tex](-1, \infty)[/tex].The two points on the graph are (0,0) and (1, 3).
The asymptote is y = -1.
The domain is (-∞,∞)
The range is (-1,∞)
What is an exponential function?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be written as 2 2 2 2=25 for the number 32. This phrase should be understood as "two to the fifth power."
The two points on the graph are (0,0) and (1, 3).
The asymptote is y = -1.
The domain is (-∞,∞)
The range is (-1,∞)
The graph of the function is attached with the answer.
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let (-5,-7) be a point on the terminal side of theta. find the exact values of cos theta, sec theta, and cot theta
a. The exact value of cosθ = -5/√74
b. The exact value of secθ = -√74/5
c. The exact value of cotθ = 5/7
How to find the trigonometric ratios
Since the terminal side of the θ is the point, (-5, -7), we need to find the length of the terminal side.
So, r = √(x² + y²) where
x = -5 and y = -7So, r = √(x² + y²)
r = √((-5)² + (-7)²)
r = √(25 + 49)
r = √74
The value of the trigonometric ratio cosθ
Since the trigonometric ratio cosθ = x/r
Substituting the values of x and r into the equation, we have
cosθ = x/r
cosθ = -5/√74
So, the exact value of cosθ = -5/√74
The value of the trigonometric ratio secθSince the trigonometric ratio, secθ = r/x
Substituting the values of x and r into the equation, we have
secθ = r/x
secθ = √74/-5
secθ = -√74/5
So, the exact value of secθ = -√74/5
The value of the trigonometric ratio cotθ
Since the trigonometric ratio cotθ = x/y
Substituting the values of x and y into the equation, we have
cotθ = x/y
cotθ = -5/-7
cotθ = 5/7
So, the exact value of cotθ = 5/7
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y=x^2 is y a function of x
Resuelve la Ecuación 4x-7=1+2x
Answer:x=4
Step-by-step explanation:
tendrías que poner términos similares juntos, asegurándote de cambiar el signo de cualquier figura que cruce el igual al signo. luego restarías o sumarías, resolverías las ecuaciones de cada lado, ya que ahora están agrupadas. luego dividirás tu respuesta por el coeficiente que es 2 (2x). esto te dejaría con 4
4x - 2x = 1+7
4x-2x= 8
2x =8
divisir
x=8
Which value is a solution to 3y + 4 < 16?
Hello,
3y + 4 < 16
⇔ 3y < 16 - 4
⇔ 3y < 12
⇔ y < 12/3
⇔ y < 4
⇒ S = ] - ∞ ; 4 [