The exponential function is given by f(x) = 7ˣ
Exponential Function
An exponential function is in the form:
y = abˣ
Where a is the initial value of y, b is the multiplier, y and x are variables.
Given the y-intercept is (0,1), hence:
1 = ab⁰
a = 1
Also f(2) = 49, hence:
49 = (1)(b)²
b = 7
The exponential function is given by f(x) = 7ˣ
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Find the perimeter of EFGH.
Answer:
30.5
Step-by-step explanation:
6x3+12.5=30.5
This is geometry. Please help. If at all possible show solving steps or step explanations.
which set of ordered pairs could be generated by an exponential function
Answer:
Option C represents an exponential function
Step-by-step explanation:
Generally, we have an exponential function in the form ;
y = a.b^x
Where in fact, a is not 0
In this case, let us have a as 1 and b as 2
So we have;
for x = -1
y = 2^-1 = 1/2
for x = 0
y = 2^0 = 1
for x = 1
y = 2^1 = 2
for x = 2
y = 2^2 = 4
So the correct choice here is the third option
Oliver has created a plot of his backyard on the given coordinate plane, so that each unit length is one yard. He wants to design a right triangular plant bed for his backyard that has an area of eight square yards. After placing one vertex of the base of the plant bed at (3, 8) and one vertex at (7, 8) on his coordinate plane, he has to determine where to place the last vertex. Locate the possible locations of the last vertex on the coordinate plane.
Answer:
The possible locations are;
(3, 4), (3, 12), (7, 4), and (7, 12)
Please find attached the plot of the points created with Microsoft Excel
Step-by-step explanation:
The given parameters of the plot of Oliver's backyard are;
The area of the right triangular plant bed Oliver wants to design, A = 8 yd²
The length of a/each unit of the plot = 1 yard
The location of one of the vertex of the right triangular area = (3, 8)
The location of the other vertex of the right triangular area = (7, 8)
We note that the area of a triangle, A = 1/2 × Base length, B × Height, h
Let the distance between the two plotted point represent the base length, 'B', therefore;
B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;
Therefore, the base length, B = 4 yards
A = 1/2 × B × h
∴ A = 8 yd.² = 1/2 × 4 yd. × h
h = 8 yd.²/ 2 yd. = 4 yd.
The height of the right triangle, h = 4 yd.
Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;
(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).
Answer:
3,4 7,4
Step-by-step explanation:
Which system of equations could be represented by the graph?
Giving brainlist to whoever answers
Answer:
240 in^3
Step-by-step explanation:
1) remember that a laundry detergent box has a shape of a rectangle parallelepiped
2) find the volume with this formula:
V = base x width x height
V = 12 x 8 x 2.5 = 240 in^3
(PLEASE HELP) Find the difference of
(p+7)−(6p2+13p).
Answer:
-(6p^2+12p-7)
Step-by-step explanation:
p+7-6p^2-13p
-12p-6p^2+7
-(6p^2+12p-7)
Solve the system by substitution.
x = 9y
x-5y=20
Step-by-step explanation:
hope this helps you! have a great day
The solutions of the system of equations are x = 45 and y = 5.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
The system of equations,
x = 9y .... (1)
x-5y=20 ......(2)
Substituting the value of x from the equation 1 to equation 2,
we get,
9y - 5y = 20
4y = 20
y = 5
Then, x = 5(9) = 45
Therefore, the solutions of the equations are x = 45 and y = 5
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Iron Man's arc reactor has a diameter of 71mm. How much of his chest does it cover?
Answer:
your not in highschool
Step-by-step explanation:
8 1/6 * 2^2 = 32 1/2
Work out the exact value of x.
Answer:
For short Go all the down
Conversion a mixed number 8 1/4
to a improper fraction: 8 1/4 = 8 1/4
= 8 · 4 + 1/4
= 32 + 1/4
= 33/4
To find new numerator:
a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/4
= 32/4
b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33
c) Write a previous answer (new numerator 33) over the denominator 4.
Eight and one quarter is thirty-three quarters
Conversion a mixed number 3 2/5
to a improper fraction: 3 2/5 = 3 2/5
= 3 · 5 + 2/5
= 15 + 2/5
= 17/5
To find new numerator:
a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/5 = 15/5
b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17
c) Write a previous answer (new numerator 17) over the denominator 5.
Three and two fifths is seventeen fifths
Subtract: 33/4
- 17/5
= 33 · 5/4 · 5
- 17 · 4/5 · 4
= 165/20- 68/20
= 165 - 68/20
= 97/20
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 5) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 5 = 20. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - thirty-three quarters minus seventeen fifths = ninety-seven twentieths.
Conversion a mixed number 2 1/3
to a improper fraction: 2 1/3 = 2 1/3
= 2 · 3 + 1/3
= 6 + 1/3
= 7/3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3
= 6/3
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds
Subtract: 7/3 - 1/4
= 7 · 4/3 · 4 - 1 · 3/4 · 3
= 28/12- 3/12
= 28 - 3/12
= 25/12
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven thirds minus one quarter = twenty-five twelfths.
Subtract: the result of step No. 3 - the result of step No. 5 = 97/
20 - 25/12
= 97 · 3/20 · 3 - 25 · 5/12 · 5
= 291/60 - 125/60
= 291 - 125/60
= 166/60
= 2 · 83/2 · 30
= 83/30
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(20, 12) = 60. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 20 × 12 = 240. In the next intermediate step, , cancel by a common factor of 2 gives 83/30
In words - ninety-seven twentieths minus twenty-five twelfths = eighty-three thirtieths.
Step-by-step explanation:
83/30 is the awnser
Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or (an expression) that have the following solution sets:
Two Solutions: x=2, x=14
Answer:
|x − 8| = 6Step-by-step explanation:
|x − b| = c1. x - b = c ⇒ x = b + c2. x - b = -c ⇒ x = b - cWe have solution:
b + c = 14b - c = 2Add up these two equations:
2b = 16b = 8Find c:
c = 8 - 2 = 6The original equation is:
|x − 8| = 6Find the slope and y-intercept for the graph.
God bless!
Using The exterior angle Theorem solve for the identified angle
Answer:
107
Step-by-step explanation:
180-(65+42) = SQR = 73
180-73 = 107
help I literally got a 4/10 in my math test and my mom is like REALLLLY mad that she took my phone so I’m using my sisters ipad and she gave me advice on this app so i don’t even know if this could help but this is the page I need to complete/it’s for term 2 (week2) basically on my test well it’s apart of it so pls help- ~btw don’t look at the top cause I already completed it, I just need the 2 and 3 helppppp ima die ANDDD I used all the points I think that’s what it’s called~
Answer:
3/8 < 2/4
2/3 > 7/12
i could be wrong sorry
It should look like this:
Four cubes are lined up to form a solid. The side lengths of the cubes are 2 ft, 3 ft 4 ft. and 5 ft. What is the volume of the solar A. 196 ft B 224 ft C.374 ft3 d 2,744ft3
Answer:
A
Step-by-step explanation:
50 Benson purchased a $1,800 certificate of deposit that earns s
of 1 year, the certificate was worth $1,857.60.
What is the annual interest rate on this certificate of deposit
Answer:
3.2%
Step-by-step explanation:
The computation of the annual rate of interest is shown below:
As we know that
Simple interest = Principal × rate of interest × time period
($1,857.60 - $1,800) = $1,800 × rate of interest × 1
$57.60 = $1,800 × rate of interest × 1
So, the rate of interest is
= $57.60 ÷ $1,800 × 100
= 3.2%
Hence, the rate of interest on annual basis is 3.2%
2. The picture shows a feeding trough that is shaped like a right prism.
(a) Surface A and B are identical trapezoids. What are the lengths of the bases of the trapezoids? What is the height?
(b) Surfaces A and B will be painted blue. What is the total area that will be painted blue?
(c) The edges of the trapezoids need to be sanded. A piece of sandpaper advertises that it can sand up to 80 cm. Will one piece of sandpaper be enough to sand the edges of one trapezoid? Explain.
Answer:
B
Step-by-step explanation:
pls help with this !!
Answer:
25.12 so the nearest 10 is 25.10
Jimmy invests $2,936 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 18 years?
A) $6,599.86
C) $6,534.19
B) $7,221.39
D) $6,869.20
Answer:
B) $7,221.39
Step-by-step explanation:
Given data
Principal=$2,936
Rate=5%
n=12
Time = 18 years
The expression for compound interest is
A=P(1+r/n)^nt
substitute
A= 2936(1+0.05/12)^12*18
A= 2936(1+0.00416)^12*18
A= 2936(1.00416)^12*18
A= 2936(1.00416)^216
A= 2936*2.45149
A=7197.57464
Hence the approximate amount is B) $7,221.39
Help plzz need the answer and that explanation plz don't send a file I need help with question 21!! thx so much
Answer:
No, they cannot be becuase the points are too different- no same numerical
values.
Step-by-step explanation:
I want its solution and the unit is about algebraic fraction.
Answer:
3x²/(3x - 9y)
This should be the simplest form.
Step-by-step explanation:
Combine the fractions:
(5x² - 2x²)/((6x - 6y) - (3y - 3x))
Combine like terms:
3x²/(6x - 3x - 6y - 3y)
Solve.
3x²/(3x - 9y)
Answer:
9x^2
======
6(x - y)
Step-by-step explanation:
Begin by switching the - to a plus. Switch the x and y in the second denominator.
5x^2 2x^2
===== + ======
6x - 6y 3x - 3y
Pull out the common factors in both denominators. Use the distributive property.
5x^2 2x^2
===== + ======
6(x - y) 3(x - y)
Multiply both the numerator and denominator by 2 on the left had fraction.
5x^2 2*2x^2
===== + ======
6(x - y) 2*3(x - y)
5x^2 4x^2
===== + ======
6(x - y) 6(x - y)
Put both numerators over a common denominator. Notice that the + sign shifts up. It shifts up because both fractions have been changed to a common denominator.
5x^2 + 4x^2
===================
6(x - y)
Combine the two numerators since they are of the same power.
9x^2
======
6(x - y)
The sum of the age of mother and daughter is 66 years.Mothers age is 5 times of daughters age.What is the age of daughter??
Answer:
I think it might be 13 or 14 I'm not completely sure though.
Step-by-step explanation:
1. Alex bought 2 buckets of baseballs that cost $19.49 each, a bat that cost $125.50, and 2 pair of baseball socks that totaled $29.50. The tax on Alex's purchases equaled $16. How much change did Alex receive if he paid with three $100 bills?
Answer:
$90.02
Step-by-step explanation:
Solve
Formula: Change money = paid money – bill. Paid money = change + bill.
Given: 2 buckets of baseballs that cost $19.49 each
A bat that cost $125.50, and 2 pairs of baseball socks that totaled $29.50
Tax on Alex's purchases equaled $16.
Paid with three $100 bills.
To find: How much change Alex received if he paid with three $100 bills
Total payment + Total Tax -Total cost
19.49 + 125.50 + 29.50 = 174.49 (Don't add the $16 tax because that will be taken from the amount we pay)
∴, three 100 bills is 300
So, 300 - 174.49 = 109.51
109.51 - 16 = 90.51
90.51 - 0.49 = $90.02
what times itself equal 53.38
Solve the question in the picture below. Thank you.
Answer:
8 units
Step-by-step explanation:
Find the distance along the y-axis. For the example points (3,2) and (7,8), in which (3,2) is Point 1 and (7,8) is Point 2: (y2 - y1) = 8 - 2 = 6. This means that there are six units of distance on the y-axis between these two points. Find the distance along the x-axis. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.
HELPP!!!!!!!!!!!!!!!!
Answer:
D.4 3/4
Step-by-step explanation:
hope it helps you
PLEASEE HELP WILL GIVE BRAINLIEST
Answer:
125 cu
Step-by-step explanation:
5 x 5 x 5 = 125
What is the positive solution to this equation?
4x2 + 12x = 135
Answer:
9/2
Step-by-step explanation:
please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!
Answer:
5/12
Step-by-step explanation:
Think SohCahToa
Soh- Sin: opposite/hypotenuse
Cah- CoSin: adjacent/hypotenuse
Toa- Tan: opposite/adjacent
Opposite: The length on the opposite side of the angle.
Adjacent: The length next to the angle.
Hypotenuse: The longest side of the angle.
can someone help me on number 2 and please ASAP :( will mark brainlist
Answer:
A = 53°
AB = 23.3
BC = 18.6
Step-by-step explanation:
2. Given,
C = 90°
B = 37°
AC = 14
Required:
A, AB, and BC
Solution:
✔️A = 180 - (90 + 37) (sum of triangle)
A = 53°
✔️Find AB and BC using trigonometric function:
Reference angle = 37°
Opp = 14
Hyp = AB
Adj = BC
To find AB, apply SOH:
Sin 37 = Opp/Hyp
Sin 37 = 14/AB
AB = 14/Sin 37
AB = 23.262962 ≈ 23.3 (nearest tenth)
To find BC, apply TOA:
Tan 37 = Opp/Adj
Tan 37 = 14/BC
BC = 14/Tan 37
BC = 18.5786275 ≈ 18.6 (nearest tenth)