hi I hope your doing great. will you kindly work the math =answer problem +x- (the long way)
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To find the corresponding y value, put the value of x in the equation y=0.1x.
If by putting the x values from the table, we get the corresponding y values, then the table reprresent the equation y=0.1x.
Consider the x values in table G.
When x=5,
\(y=0.1x=0.1\times5=0.5\)When x=10,
\(y=0.1x=0.1\times10=0.1\)When x=15,
\(y=0.1x=0.1\times15=1.5\)Similarly, when x=20, y=2.0 and when x=40, y=4.0.
So, the y values in table G satisfies the given equation.
Hence, option G is correct.
Related Questions
I need the answer:’)
Answers
Answer:
its D
Step-by-step explanation:
calculator
solve it step by step
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The solution for this expression is:\(9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-50\).
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±acComutative: a . b = b. aAssociative: a(b+c)= c(a+b)Identity: b.1=bHere, you should apply the distributive property for solving this expression.
\((3\sqrt{3}+2\sqrt{5} )*(3\sqrt{2}-5\sqrt{5})\\ \\\)
Applying the distributive property, you have:
\(9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-10*\sqrt{25} \\ \\ 9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-10*5\\ \\ 9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-50\)
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Use the distributive property to rewrite 5(4 - y)
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Multiply 5 to each term inside the parentheses.
\(5(4)-5(y)\)Simplify each term. Multiply.
\(20-5y\)Consider the equation 5 – 3(2x – 7) = 12 – 5(x – 2). Is x = 2 a solution to this
equation? Is x = 4 a solution to this equation? Explain your reasoning in each case
Answers
Answer:
see below
Step-by-step explanation:
5 – 3(2x – 7) = 12 – 5(x – 2)
Substitute x=2
5 – 3(2*2 – 7) = 12 – 5(2 – 2)
5 – 3(-3) = 12 – 5(0)
5 - 3*(-3) = 12
5+9 = 12
14=12
This is false so it is not a solution
5 – 3(2x – 7) = 12 – 5(x – 2)
Substitute x=5
5 – 3(2*4 – 7) = 12 – 5(4 – 2)
5 – 3(8-7) = 12 – 5(2)
5 - 3*1 = 12-10
5-3 = 2
2=2
This is true so it is a solution
Which of the following expressions is the sum of four terms?
8 + jk + 5m + 12n + 7p
3 + 4m + n
jk + mn
7 + 7j + 7m + mj
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I don't understand like what
what is the value of (f-g)(2)
Answers
Answer:
Step-by-step explanation:
We need to find the value (f-g)(2), so we need first to substitute 2 into the given functions f(x) and g(x) and then subtract the result of g(2) from f(2).
Here, f(x) = 3x^2 + 1 and g(x) = 1 - x,
So, We will substitute 2 into these functions:
f(2) = 3(2)^2 + 1 = 3(4) + 1 = 12 + 1 = 13
g(2) = 1 - 2 = -1
Now, we can subtract g(2) from f(2):
(f-g)(2) = f(2) - g(2) = 13 - (-1) = 13 + 1 = 14
Hence, the required value of (f-g)(2) is 14.
Answer:
The correct answer is 3. To solve for g(-2), we substitute -2 for x in the equation g(x) = 2x + 5. This gives us g(-2) = 2(-2) + 5, which simplifies to -4 + 5 = 1. Next, we substitute the value of g(-2) into the equation for f(g(x)) = 4 - x^2. Thus, f(g(-2)) = 4 - (1)^2, which equals 4 - 1 = 3.
A hose fills a hot tub at a rate of 4.41 gallons per minute. How many hours will it take to fill a 278-gallon hot tub?
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Answer:
The rate of fill up is, Rate = 3.2 Gallons / minute = 3.2 g/min
The hut tub volume is 300 Gallons
You can set up this problem as follows:
Every 3.2 gallons require 1 minute, How many minutes 300 gallons require?
3.2 g 1min
300 g ? min = (300 gallons x 1min/ 3.2 gallons)=(300/32)min
= 93.75 min
kira,boris,deshuan have a total of $119 in their wallets. Boris has 3 times waht deshuan has. Deshuan has $6 more than kira. How much do they have in their wallets.
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Kira has $19, Boris has $75, and Deshuan has $25.
How much money does each person have in their wallets?We will denote as follows:
Kira has as K, Boris has as B, and Deshuan has as D.From information, we can set up equations:
B = 3D (Boris has 3 times what Deshuan has)
D = K + 6 (Deshuan has $6 more than Kira)
K + B + D = 119 (The total amount of money they have is $119)
Substituting equation 2 into equation 1, we have:
B = 3(K + 6)
Substituting equations 1 and 2 into equation 3:
K + 3(K + 6) + (K + 6) = 119
K + 3K + 18 + K + 6 = 119
5K + 24 = 119
5K = 119 - 24
5K = 95
K = 95 / 5
K = 19
Using equation 2, we can find D:
D = K + 6
D = 19 + 6
D = 25
Using equation 1, we can find B:
B = 3D
B = 3 * 25
B = 75.
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Complete the statement with < >, or =. 25 نتانا
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Given
\(\frac{3}{2}\text{?}\sqrt[]{\frac{25}{4}}\)Procedure
\(\begin{gathered} \sqrt[]{\frac{25}{4}}=\frac{5}{4} \\ so, \\ \frac{3}{2}<\frac{5}{2} \end{gathered}\)what is 38-12x3 equal
Answers
Answer: 2
Step-by-step explanation: 12 x 3 first becuase pemdas
In ΔUVW, u = 76 inches, w = 71 inches and ∠W=69°. Find all possible values of ∠U, to the nearest degree.
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The value of the angle U from the calculation is 88 degrees.
How do you solve a triangle?The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).
By the use of the sine rule;
u/Sin U = w/Sin W
Thus;
76/Sin U = 71/Sin 69
Sin U = 76Sin 69/71
U = Sin-1 (76Sin 69/71)
U = 88 degrees
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-2(x+4)²= -200
can you guys please help
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Please help me with this question
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To derive the formula that goes through these two points, we use the general equation for an exponential equation.
Y = a(b)^x
There we will substitute the two points into this equation to get two equations
45 = a(b)^2
5/9= a(b)^-1
By dividing the first equation by the second, we obtain:
27 = b^3
Therefore b= 3
We plug b=3 into the first equation using the second point:
45 = a(3)^2
We get a = 5
Therefore the equation is y = 5(9)^x
We can verify this equation by plugging in the two points given to see if it works.
5/9 = 5(9)^-1
5/9 = 5/9
And:
45 =5(9)^2
45 = 45
It does, so the equation is correct.
The answer is y =5(9)^x
What is exponential equation?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.Exponential equations are equations in which variables occur as exponents.For example, exponential equations are in the form a x = b y .To solve exponential equations with same base, use the property of equality of exponential functions .To learn more about exponential equation refer to:
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graph h(x)=(x-1)^2-9
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The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
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A family is planning a three-week vacation for which they will drive across the country. They have a van that gets 12 miles per gallon, and they have a sedan that gets 36 miles per gallon. How much more will they pay for gasoline if they take the van? (Assume that the family will drive 2500 miles and that gas costs $2.50 a gallon. Round your answers to the nearest cent.)
Answers
Answer:
The family will pay 34722 cents more if they take the van
Step-by-step explanation:
Given
Van = 12 miles per gallon
Sedan = 36 miles per gallon
Distance = 2500 miles
Gas = $2.50 per gallon
First, we need to determine the number of gallons that'll be used by both vehicles
This is done by dividing total distance by number of miles per gallon
\(Van = \frac{2500}{12} \ gallon\)
\(Sedan = \frac{2500}{36}\ gallon\)
Next, is to multiply this by the cost of gas per gallon;
This gives the total spendable amount on both vehicles
\(Van = \frac{2500}{12} * \$2.50\)
\(Van = \frac{\$6250}{12}\)
\(Van = \$520.833\)
\(Sedan = \frac{2500}{36}* \$2.50\)
\(Sedan = \frac{\$6250}{36}\)
\(Sedan = \$173.611\)
Next is to get the difference between these amounts
\(Difference = \$520.833 - \$173.611\)
\(Difference = \$347.222\)
Multiply by 100 to convert to cents
\(Difference = 347.222 * 100 cents\)
\(Difference = 34722.2 \ cents\)
\(Difference = 34722\ cents\) (Approximated)
Hence;
The family will pay 34722 cents more if they take the van
find (-21 ) + (13 ) + 20
Answers
Answer:
the correct answer is 12
Answer:
12
Step-by-step explanation:
Question 24 ptsTeresa is saving up to buy a car. She currently has $5,000 in her savingsaccount and the car she wants costs $6,500. The bank only gives her 2%interest, compounded weekly.What is the minimum number of years (whole number) that it will take forher to have enough money to buy the car?How much money would she have left in her account after the purchase?HTML EditoresxBIU A - A - IKEV c ✓FERTTTT 12ptParagraph
Answers
The rule of the compound interest is
\(A=P(1+\frac{r}{n})^{nt}\)Where:
A is the future value
P is the initial value
r is the rate in decimal
n is the period
t is the time
let us find them from the question
A = 6500
P = 5000
r = 2% = 2/100 = 0.02
n = 52 weeks in year
t = ?
Let us substitute them in the rule to find t
\(6500=5000(1+\frac{0.02}{52})^{52t}\)To find t divide both sides by 5000 first
\(\frac{6500}{5000}=(1+\frac{0.02}{52})^{52t}\)\(1.3=(1.000384615)^{52t}\)To find t insert log for both sides
\(\text{log}(1.3)=\log (1.000384615)^{52t}\)Take the exponent in front of log because log a^b = b log a
\(\text{log}(1.3)=52t\lbrack\log (1.000384615)\)Divide both sides by log(1.000384615)
\(\begin{gathered} 682.2789435=52t \\ t=\frac{682.2789435}{52}=13.12074891 \end{gathered}\)So the number of years is 14 years to give her enough money to buy the car
In Connecticut, there are a total of 187 state legislators. If the number of representatives is 7 more than four times the number of senators, how many senators are in Connecticut?
just need the equation please
Answers
Answer:
36 senatorsStep-by-step explanation:
Let the number of representatives be r and senators be s
The we have system of equations:
r + s = 187r = 4s + 7Substitute r in the first equation:
4s + 7 + s = 187 - required equationSolving for s:
5s = 180s = 180/5s = 36Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41
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Using the table, we can see that the loan increases by a factor of 1.058 after 1 year and by a factor of 1.058/1.045 = 1.0124 after 2 years. Thus, we have:
1.058 = (1 + r/n)^(n*1)
1.0124 = (1 + r/n)^(n*2)
Dividing the second equation by the first, we get:
1.0124/1.058 = (1 + r/n)^(n*1)
Taking the nth root of both sides, we get:
(1 + r/n) = (1.0124/1.058)^(1/n)
Solving for r, we get:
r = n * [(1.0124/1.058)^(1/n) - 1]
We don't know the value of n, but we can make an educated guess that it's either 1 or 2, since the loan is increasing by roughly 5.8% per year. If we try n = 1, we get:
r = 1 * [(1.0124/1.058)^(1/1) - 1] = -0.0427
This is clearly not the correct answer, since the interest rate cannot be negative. If we try n = 2, we get:
r = 2 * [(1.0124/1.058)^(1/2) - 1] = 0.0574
This is a reasonable answer, since it's close to the observed increase in the loan value of 5.8% per year. Therefore, the rate of interest per annum is 5.7% to 1 d.p.
(b) Using the formula for compound interest, we can find the value of the loan 10 years after it starts:
A = P * (1 + r/n)^(n*t) = 2500 * (1 + 0.0574/1)^(1*10) = £4,745.60 (to the nearest 1p
Answer:
25000
Step-by-step explanation:
If y=e3t is a solution to the differential equation
d2ydt2−9dydt+ky=0,
find the value of the constant k and the general solution to this equation.
Answers
Answer:
k=18, general solution does not exist.
Step-by-step explanation:
If f(t)=y=e3t is a solution to the differential equation
d2ydt2−9dydt+ky=0,
then
y = e^(3t)
y' = dy/dt = 3y
y'' = d2ydt2 = 9y
y'' - 9y' + ky = 0
9y - 9(3y) + ky = 0
(9-27+k)y = 0
solve for y
(9-27+k) = 0
k = 18
general solution is when y=e^(3t)=0, or t-> -infinity
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
15. Many people swimming in a pool experience pain in their ears if they dive to the
bottom. Why is this?
A. Pressure increases as the depth of the water column above them increases.
B. The area of the pool is wider where it's deeper.
C. Pressure decreases as the depth of the water column above them increases.
D. The vapor pressure at the surface is removed.
Answers
Answer:
The answer is Ahope this helps
Kristy downloads two songs to her MP3
player. The songs are 3 minutes and 4- minutes
long. About how many minutes of memory will these
two songs use altogether?
Answers
Answer:
About 7 minutes
Step-by-step explanation:
3 minutes + 4 minutes= 7 minutes memory used for two songs
ap stats what can be a binomial variable two people with equal skills; one game for 50 days, skills never change
Answers
The probability that an event will occur is determined by the likelihood of each possible outcome and the number of possible outcomes.
In this scenario, the binomial variable is the number of wins for the two people with equal skills playing a game for 50 days.
The probability of success (a win) is the same for each game, and the number of trials is fixed at 50, making this a binomial experiment.
Probability is the measure of how likely it is that an event or outcome will occur. It is usually expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that it is certain to occur. The probability that an event will occur is determined by the likelihood of each possible outcome and the number of possible outcomes.
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Complete question:
A binomial variable in the context of this scenario would be the number of wins out of 50 games, since there are only two outcomes that can occur: a win or a loss.
This one please help out
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Answer:
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
Step-by-step explanation:
Okay so looking at the unit cubes you must count how much there are and see how much unit cubes the weight is equivalent to
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
your work is correct!! Good job!!
Hope this helps!!
-Ketifa
A box weighs 3.2 pounds. The box contains packs of crayons, which each weigh .5 pounds. The total weight of the box and the crayons is 10.7 pounds. How many packs of crayons are in the box
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If student D can solve 60% of multiple choice questions and Student B can solve 51% of the multiple choice questions and Student C can solve 57%. The students are unaware of each other.
a) At least one can be solved
b) Probability at most one of them can be solved
c) Probability that neither of them can be solved
d) Exactly two them can be solved
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What is c/6=9 equals to
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c = 54
!!!_!£((£2((2)1)1)1
India's hourly wage is $10.50. If she
regularly works 40 hours per week, what is
her regular weekly pay?
Answers
Her regular weekly pay is $420
Step-by-step explanation:
10 hours per week: $10.50 x 10 = $105.00
20 hours per week: $105.00 x 2 = $210.00
40 hours per week: $210.00 x 2 = $420.00
PLEASE HELP ME
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions with their simplified forms.
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(a) √2 · √8. The simplified surd expression is 4.
(b) √80. The simplified surd expression is 4√5.
(c) √5/√20. The simplified surd expression is 1/2.
(d) √20. The simplified surd expression is 2√5.
What is the simplification of the surd expression?The given surd expression is simplified as follows;
(a) √2 · √8
we can simplify it as;
√2 · √8 = √(2 x 8) = √16 = 4
(b) √80
we can simplify it as;
√80 = √ (16 x 5) = √16 x √5 = 4√5
(c) √5/√20
we can simplify it as;
√5/√20 x √20 / √20
= (√5 x √20 ) /(20)
= √100 / 20
= 10/20
= 1/2
(d) √20
we can simplify it as;
√20 = √4 x √5 = 2√5
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