Answer:
[tex]y=35\cdot (1.6)^x.[/tex]
Step-by-step explanation:
Find the exponential function in a form [tex]y=a\cdot b^x.[/tex]
1. At x=0,
[tex]35=a\cdot b^0=a.[/tex]
2. At x=1,
[tex]56=35\cdot b^1\Rightarrow b=\dfrac{56}{35}=\dfrac{8}{5}=1.6.[/tex]
Therefore, the expression for the exponential function is
[tex]y=35\cdot (1.6)^x.[/tex]
Note that
[tex]y(-1)=35\cdot (1.6)^{-1}=\dfrac{35}{1.6}=21.875[/tex]
and
[tex]y(2)=35\cdot (1.6)^2=35\cdot 2.56=89.6.[/tex]
The exponential growth function represented by the provided set of ordered pairs is[tex]y = 35 \times 1.6^x,[/tex] where 'a' is the initial value and 'b' is the growth factor derived from the given points.
Explanation:To begin determining the underline equation of this exponential growth function, we first need to recognize that the general form of an exponential function is[tex]y = ab^x[/tex] , where a is the initial value (the output when x=0) and b is the growth factor.
In the provided set of ordered pairs, when x = 0, y = 35. Therefore, a = 35. Now, to calculate b, we could apply the function to the point (1,56). We know that[tex]56 = 35\times b^1,[/tex]which simplifies to 56 = 35b. Solving for b gives us b ≈ 1.6 (approximation).
So, the exponential growth function that corresponds to these ordered pairs is[tex]y = 35\times 1.6^x.[/tex]
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14. 30/r
r = 5
Need help!?
Answer:
The expression = 6
Step-by-step explanation:
The expression is 30/r
30/r
Substitute r=5
30/5
6
Mora is using a map to find the distance between her house and her cousin's house. She knows that $2$ centimeters on the map represent $300$ miles. On the map, the distance between her house and her cousin's house is $20$ centimeters.
Answer:
Step-by-step explanation:
2÷20= 10 × 300= 3,000 miles
The distance between her house and her cousin's house is 3000 miles.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 seconds
1 minute = 60 seconds
1 km = 1000 m
We have,
2 cm = 300 miles
The distance between her house and her cousin's house.
= 20 cm
= 10 x 2 cm
= 10 x 300
= 3000 miles
Thus,
3000 miles is the distance between her and her cousin's house.
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How many seconds are in a hour?
Answer:3600
Step-by-step explanation:
20 POINTS WILL GIVE BRAINLIEST HELP QUICKLY!!
The table shows the cost of a charm bracelet containing a different number of Charms .the table represents a linear function.
Charms: 0 1 2 3
Cost: 25 40 55 70
What does the Initial value mean for this function?
A. The cost of a bracelet without any charm is $25
B. A bracelet with 4 charms cost $100
C.each charm cost $15
D. Each charm costs $40
Answer:
A. The cost of a bracelet without any charm is $25
Step-by-step explanation:
The initial value, or the value when x=0 is the cost of the bracelet when the number of charms is 0.
Answer:
The answer is A
Step-by-step explanation:
for one I took the test
two because as the addition of a charm grows so does the price (by 15$) But the *initial* value of a bracelet with no charms is 25$.
Aidens age Is 1/7 of his father’s age. His father will be 61 years old in five years. In how many years will Aidens age be 1/5 of his fathers age ?
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
Aiden's father will be 61 in 5 years:
61 - 5 = 56
Since Aiden is 1/7 of his father's age just divide his father's age by 7:
56 ÷ 7 = 8 Aiden is currently 8 years old.
Aiden his father is he 1/5 his fathers age
9 57 9 x 5 = 45 NO
10 58 10 x 5 = 50 NO
11 59 11 x 5 = 55 NO
12 60 12 x 5 = 60 YES
Aiden is 1/7 of his father's current age, and his father is currently 56. Given that we want Aiden's age to be 1/5 of his father's, the number of years that would need to pass is 14 years.
Explanation:Firstly, let's determine Aiden's current age and his father’s current age. We know that Aiden's age is 1/7 of his father’s age, and that his father will be 61 in five years, meaning that his father is currently 56. Thus, Aiden, being 1/7 of his father’s age, is 8 years old.
Let's denote the number of years that we are looking for as 'x'. In 'x' years, Aiden will be 8+x years old, and his father will be 56+x. For Aiden’s age to be 1/5 of his father’s age, the following must be true: (8+x) = 1/5*(56+x). Solving this equation gives us x = 14. Therefore, in 14 years, Aiden's age will be 1/5 of his father's age.
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which is a correct two-column proof? Given: <H and <X are supplementary. prove: l || n
Answer:
option-B
Step-by-step explanation:
we are given
<H and <X are supplementary angles
so,
<H+<X=180
we know that
<H and <E are vertically opposite angles
so, they must be equal
<H=<E
we can plug it
<E+<X=180
It means that angle(E) and angle(X) are supplementary angles
and these two angles are same side interior angles
By using same side interior angles converse
so, line(l) and line(n) must be parallel
so, option-B
Answer:
Option (B) is correct
Step-by-step explanation:
∠H and ∠X are supplementary as given, ∠H + ∠X = 180
And, ∠H = ∠E ( Vertical opposite angles are equal )
So, by substitution ∠E + ∠X = 180
So, the sum of same side interior angles ∠E and ∠X is 180 therefore, by using converse of same-side Interior angles theorem we get l║m.
The correct option is B
How do I use elimination for the equations-x+5y=20 and 12y= 2x+ 60?
[tex]\left\{\begin{array}{ccc}-x+5y=20\\12y=2x+60&\text{subtract 2x from both sides}\end{array}\right\\\left\{\begin{array}{ccc}-x+5y=20\\-2x+12y=60&\text{divide both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-x+5y=20\\x-6y=-30\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-y=-10\to\boxed{y=10}\\\\\text{Put the value of y to the second equation:}\\\\x-6(10)=-30\\x-60=-30\qquad\text{add 60 to both sides}\\\boxed{x=30}\\\\Answer:\ \boxed{x=30\ and\ y=10\to(30,\ 10)}[/tex]
Find the number if 5.5% of it is 17% of 11
Answer:
The number is 34.
Step-by-step explanation:
Let the number be x.
As per the statement: if 5.5% of it is 17% of 11.
⇒ 5.5% of x is 17% of 11.
"5.5%of x" means [tex]\frac{5.5}{100} \times x[/tex]
"17% of 11" means [tex]\frac{17}{100} \times 11[/tex]
then;
[tex]\frac{5.5x}{100} = \frac{17 \times 11}{100}[/tex]
Multiply by 100 on both sides, we get;
[tex]\frac{5.5x}{100} \times 100 = \frac{17 \times 11}{100} \times 100[/tex]
Simplify:
[tex]5.5x = 187[/tex]
Divide both sides by 5.5 , we get;
[tex]\frac{5.5x}{5.5} = \frac{187}{5.5}[/tex]
Simplify:
x = 34
Therefore, the number is 34.
Answer:
Step-by-step explanation:
First we must find 17% of 11.
0.17 x 11 = 1.87
So we know 5.5% of "a number" or "x" is equal to 1.87
0.055x = 1.87
x = 1.87/0.055
x = 34
Lee can read at a rate of 1,100words in 5 minutes.Write and solve a world problem that uses this information
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.

Which value could replace x on the table?
(4 – g) 1.5
(4 – g) + 1.5
4g – g(1.5)
(4 – g)g
Plz provide a 'Table'
Answer:
the answer is A.(4-g)1.5
Step-by-step explanation:
Please help! I'm geting the wrong answer and i don't know why
8(x + 1) - 3(x + 4) = 7(2 - x)
how many solutions does this system have? y = 5x - 1 y = -3x + 7
Answer:
There are no solutions.
Step-by-step explanation:
Nothing can be done further.
The given system of equations has exactly one solution for x =1 that is y = 4.
What is the system of linear equation ?
A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation.
The system of equations given is :
y = 5x - 1 ---- -- ---- ---- ---- ---- ---- ---- ---- ---- Equation 1
y = -3x + 7 ---- -- ---- ---- ---- ---- ---- ---- ---- ---- Equation 2
Solving the system of equation by subtracting equation 2 from equation 1.
y - y = (5x + 3x) + (-1 - 7)
0 = 8x - 8
x = 1
So , for x = 1 , we have values of y as :
y = 4
and
y = 4
So, the system of equation has one value for x = 1 that is y = 4.
Therefore , the given system of equations has exactly one solution for x =1 that is y = 4.
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What is the slope of y = (2/3)x?
Answer:
slope = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = [tex]\frac{2}{3}[/tex] x is in this form
with slope m = [tex]\frac{2}{3}[/tex] and c = 0
what inequality represents the sentence the quotient of a number and 3 is no more than 15
Answer:
n/3 ≤ 15
Step-by-step explanation:
Quotient = n/3
The quotient cannot be greater than 15, but it can equal 15.
n/3 ≤ 15
The quotient of a number and 3 is no more than 15 represented by x/3 ≤ 15.
What is problem-solving?
Problem-solving is defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. For example, a trainer may need to figure out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
Solution:
let the number be X
x/3 ≤ 15
Quotient = x/3
Since the quotient cannot be greater than 15, it can equal 15.
∴ x/3 ≤ 15
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HELP ASAP !!!
which variable is most important to the following problem? A company has 95,000 shares of stock to sell. A stockbroker decides to buy 150 shares of the stock for each of her 250 clients. How many shares will the company have left to sell after the stockbroker makes her purchase
A. the number of shares the stockbroker bought for each customer
B. the price of one share
C. the number of shares remaining after the stockbroker buys shares for her customers
Answer: the price of shares is never mentioned
the number of shares bought for each customer (what customers? does customer = client?) .... bought for each client is what you're solving for
so C. number of shares remaining to be sold
if 95,000 shares available before sale, 75,000 after, 20,000 were sold.
20,000 shared among 250 people is 80 shares each.
Answer:
C. the number of shares remaining after the stockbroker buys shares for her customers
Step-by-step explanation:
Here Most important variable is asked, So Option (C) is the best choice. It is the most important variable for finding the number of shares the company has left.
Option (A) can't be chosen because it is comparatively less important than option (C).
Option (B) never can be an important variable since the price of shares is not given.
Also, The number of shares the company has left after stockbroker's purchase = 95000 - 150×250 = 57500.
If 10 pencils and 7 erasers cost $4.23 and 3 pencils and 1 eraser cost $0.95, what is the cost of 2 erasers?
Answer: $0.58
Step-by-step explanation:
Let x represent pencil and y represent eraser
10x + 7y = 4.23 → 1(10x + 7y = 4.23) → 10x + 7y = 4.23
3x + y = 0.95 → -3(3x + y = 0.95) → -21x - 7y = -6.65
-11x = -2.42
÷-11 ÷-11
x = 0.22
3x + y = 0.95
3(0.22) + y = 0.95
0.66 + y = 0.95
y = 0.29
2y = 2(0.29) = 0.58
Give the required elements of the hyperbola. 4x^2 - y^2= 16 The value of b is:
Answer:
a = 2
b = 4
Step-by-step explanation:
4x² - y² = 16
General equation for a horizontal hyperbola:
(x-h)²/a² - (y-k)²/b² = 1
with center (h,k) & vertices (h±a,k)
Divide by the constant
4x²/16 - y²/16 = 1
x²/4 - y²/16 = 1
x²/2² - y²/4² = 1
center (h,k) = (0,0)
a = 2
b = 4
Answer:
a = 2
b = 4
Hope this helps you
the difference of 3ab and 7bc
The mathematical expression for the given phrase "the difference of 3ab and 7bc" is 3ab - 7bc
Translating the phrase into a mathematical expressionTo translate the phrase "the difference of 3ab and 7bc" into a mathematical expression, we can use the subtraction operation, which is denoted by the "-" symbol.
The difference between two terms is the result of subtracting one term from the other. In this case, we have two terms: 3ab and 7bc. To find the difference between them, we need to subtract one from the other.
The phrase "the difference of 3ab and 7bc" can be written mathematically as: 3ab - 7bc
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first to answer will be the brainliest
Answer:
y =5x
Step-by-step explanation:
k = y/x is the ratio for proportional relationships
k = 10/2
k = 5
Rewriting this equation
y= kx
y =5x
Answer: y=5x
Step-by-step explanation:
2x5=10
4x5=20
Help me!!! Give me steps how to make this look like I showed my work on paper.
Answer:
p=2
Step-by-step explanation:
3(p+1)=9
3 x ? = 9
3x3=9
p+1 = 3
P=2
3(2+1)=9
3(3)=9
9=9
BRAINLIEST?
Answer:
Step-by-step explanation:
divide by three on both sides of the equal sign.
Then subtract one from from both sides of the equal sign.
the answer is p=2
3(p+1)=9
(p+1)=3
p=2
If the length of a rectangle is 7/8 and the width is 1/4 of a meter then what is the area, A=lw, of the rectangle
Answer:
7/32 square meters
Step-by-step explanation:
Multiply the fractions. The numerators multiply to 7*1 = 7. The denominators multiply to 4*8 = 32. This is why (7/8)*(1/4) = 7/32. The units are "square meters" to indicate we're dealing with area instead of a linear measurement.
note: 7/32 = 0.21875
Answer:
7/32 square meters
Step-by-step explanation:
The area of a rectangle is A = L * W.
Here, that area is A = (7/8)(meter)(1/4)(meter) = 7/32 meter^2.
5Y+2-3(4Y)=0
WHAT DOES THIS EQUAL
Hello.
Y= 2/7
Step 1: Simplify both sides of the equation.
5y+2−3(4y)=0
5y+2+−12y=0
(5y+−12y)+(2)=0(Combine Like Terms)
−7y+2=0
Step 2: Subtract 2 from both sides.
−7y+2−2=0−2
−7y=−2
Step 3: Divide both sides by -7.
−7y/−7=−2/−7
y=2/7
Have a nice day.
Will give 11 points and brainlest and thank
Preamble to the U.S. Constitution
"We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America."
rewrite the Preamble using ur own words
Answer: We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States
Step-by-step explanation:
3
5
of students at a school are boys. If there are 2420 students at the school, how many are girls?
Question
3/5 of students at a school are boys. If there are 2420 students at the school, how many are girls?
Answer:
968 girlsStep-by-step explanation:
if 3/5 are boys 2/5 are girls (5 - 3/5 = 2/5)
so 2420 * 2/5 = 968 girls
Answer: 968 girls in the school.
Step-by-step explanation:
you just multiply 3/5 by 2420 and you get how many boys are in the school, 1452. then subtract 2420- 1452 and get 968. Hope this helped :)
Triangle ABC A(3, 0) B(10, 1) C(6, 3)
Answer:
See picture.
Step-by-step explanation:
There you go.
273 × 346 in standard algorithm
Final answer:
To multiply 273 by 346 using the standard algorithm, follow these steps and the result is 94,608.
Explanation:
To multiply 273 by 346 using the standard algorithm, follow these steps:
Multiply the units' digits: 3 * 6 = 18. Write down the 8 and carry over the 1.
Multiply the tens' digits: 7 * 4 = 28. Add the carried-over 1: 28 + 1 = 29. Write down the 9 and carry over the 2.
Multiply the hundreds' digits: 2 * 3 = 6. Add the carried-over 2: 6 + 2 = 8.
Write down the result in the correct place value: 8 (hundreds), 9 (tens), 8 (units).
So, 273 multiplied by 346 gives us 94,608.
Can someone nice enough help me ASAP this is 5th Grade Math!
Hello from MrBillDoesMath!
Answer:
"He plans to sell the carrots for $5 per bunch..." is not needed
Discussion:
The question asked is "About how many bunches will the farmer make? The text "He plans to sell the carrots for $5 per bunch..." is not needed as it does not relate to the question asked.
Regards,
MrB
Answer:
He plans to sell the carrots for $5 per bunch is not needed and around 313 bunches can be made
Step-by-step explanation:
which of the following shows the algebraic solution and the graphical solution of the inequality 6d - 7 > 11
[tex]6d-7>11[/tex] add 7 to both sides
[tex]6d>18[/tex] divide both sides by 6
[tex]d>3[/tex]
Is (0,0) a solution to this system?
y ≤ x^2 - 4
y > 2x - 1
A. No. (0,0) satisfies y ≤ x^2- 4 but does not satisfy y > 2x - 1.
B. No. (0,0) satisfies y > 2x - 1 but does not satisfy y ≤ x^2 - 4.
C. Yes. (0,0) satisfies both inequalities.
D. No. (0,0) does not satisfy either inequality.
Answer:
option-B
Step-by-step explanation:
we are given system of inequality as
[tex]y\leq x^2-4[/tex]
[tex]y>2x-1[/tex]
now, we can check solution
At (0,0):
we can plug x=0 and y=0
and check inequality
[tex]0\leq 0^2-4[/tex]
[tex]0\leq -4[/tex]
so, this is FALSE
now, we can check second inequality
[tex]0>2\times 0-1[/tex]
[tex]0>-1[/tex]
So, this is TRUE
so, option-B
Answer: Hello mate!
we want to know if the pair (0,0) is a solution for the system, where the usual notation for a pair is (x,y), and the system is:
y ≤ x^2 - 4
y > 2x - 1
The first step is replacing the numbers in the system by the numbers in the pair, and look if the pair is a solution or not.
the first inequality gets:
y ≤ x^2 - 4
0 ≤ 0^2 - 4
0 ≤ - 4
This is false, so (0,0) is not a solution for this inequality.
Now let's see the second one:
y > 2x - 1
0 > 2*0 - 1
0 > -1
This is true, then the pair (0,0) is a solution for this inequality.
then the answer is the option B, the pair (0,0) is not a solution for the system, satisfies y > 2x - 1 but does not satisfy y ≤ x^2 - 4.
How do you solve a absolute value problem ?
Step-by-step explanation:
Step 1: Isolate the absolute value expression.
Step 2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3:Solve for the unknown in both equations.
Step 4:Check your answer analytically or graphically.
I hope this helps!
Final answer:
In mathematics, solving absolute value problems involves finding the value of an unknown variable within the absolute value expression. Here is a step-by-step process to solve an absolute value problem: Isolate the absolute value expression, remove the absolute value bars, solve the resulting equations, and check the solution. For example, to solve the equation |2x - 3| = 5, isolate the absolute value, solve for x, and check the solutions.
Explanation:
In mathematics, solving absolute value problems involves finding the value of an unknown variable within the absolute value expression.
Here is a step-by-step process to solve an absolute value problem:
Isolate the absolute value expression on one side of the equation.
Remove the absolute value bars by considering both positive and negative cases.
Solve the resulting equations to find the values of the variable.
Check the solution to ensure it is valid by substituting it back into the original equation.
For example, to solve the absolute value equation |2x - 3| = 5, we isolate the absolute value by moving the constant term to the other side: 2x - 3 = 5 and 2x - 3 = -5. Then we solve both equations separately to find the values of x: x = 4 and x = -1. Finally, we check the solutions by substituting them back into the original equation to ensure they satisfy the equation.