The value of the exponential equation is y = 5ˣ + 4
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
The y intercept is ( 0 , 5 )
So , when x = 0 , the value of y = 5
Substituting the values in the equation , we get
y = 5ˣ + 4 be equation (1)
when x = 0
y = 5⁰ + 4
y = 1 + 4
y = 5
when x = 2
y = 5² + 4
y = 25 + 4 = 29
Therefore , the range is all y values greater than 0
Hence , the equation is y = 5ˣ + 4
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Determine whether ABCD is a parallelogram if AB = 6, BC = 12, CD = 6, and DA = 12. Justify your answer
A/ Yes; Opposite sides are congruent to each other.
B/ Yes; Opposite sides are parallel to each other.
C/ Yes; Opposite angles are congruent to each other.
D/ No
Simply (square root) 36x^3
please help me with this
Answer:
a=8/2 b=9/4 c=13/5
Please help.. Answer number 34 and 35. For number 34 find the measures of the numbered angles in each isosceles trapezoid. For number 35 find the measures of the numbered angles in each kite.
Answer:
33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°
34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°
35. m∠1 = 90°, m∠2 = 25°
Step-by-step explanation:
33. The given parameters of the isosceles trapezoid are;
The measure of one of the base angles = 45°
For an isosceles trapezoid, the base angles are equal, therefore, we have;
The measure of the other base angle = m∠3 = 45°
Similarly, m∠1 = m∠2
Also, we have;
The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°
∴ 45° + m∠3 + m∠1 + m∠2 = 360°
By substituting the known values, we have;
45° + 45° + m∠1 + m∠2 = 360°
From m∠1 = m∠2, we have;
45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°
2·m∠1 = 360° - 90° = 270°
∴ m∠1 = 270°/2 = 135°
m∠1 = 135° = m∠2
Therefore, we have;
∠3 = 45°, ∠1 = 135°, ∠2 = 135°
34. The measure of the base angles = 80°
∴ The measure of the other base angle = m∠1 = 80°
m∠2 = m∠3
80° + m∠1 + m∠2 + m∠3 = 360°
∴ 80° + 80° + 2·m∠2 = 360°
m∠2 = (360° - (80° + 80°))/2 = 100°
m∠2 = 100° = m∠3
35. The kite comprises of two half isosceles triangles
The base angles of the right half isosceles triangle = 65°
The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)
Therefore, m∠1 = 90°
The diagonals bisect the angles at the vertices (Kite theorem)
Therefore, we have;
65° + 90° + m∠2 = 180°
m∠2 = 180° - (65° + 90°) = 25°
m∠2 = 25°.
When adding two mixed numbers, you should add the ignore the fractions and add the mixed numbers first.
True
False
Answer:
FALSE
.....
I think?
Someone help please
Answer:
if you would stan LOONA you would get all A's):
what is £120 by 40% Decreased
Answer:
£72
Step-by-step explanation:
100% - 40 = 60%
60/100 = 0.6
0.6 * £120 = £72
40/100 = 0.4
0.4 * £120 = £48
To check:
£72 + £48 = £120
Hope that helps!
16. Hanna has a bag of 23 marbles. 5 marbles are red, 6 marbles are blue, and the rest
are pink. Abby takes out two pink marbles without replacing them. What is the
probability that the next marble he draws will be blue?
A. 10/21
B. 4/21
C. 2/7
D. 6/23
Answer:
C. 2/7
Step-by-step explanation:
When two pink marbles are taken without replacement then the total number of marbles in the bag are reduced to 21 marbles. So the blue marble, which are currently in total 6 marbles, is taken out of the total of 21 marbles. The calculation of which is done as below:
Probability of Next Marble to be blue
= Blue Marble / Total Marbles in the bag
= 6 / 21
= 2 / 7
Hence, the correct option is C. 2/7
I have a friend Robert who is an expert at taking the difference of consecutive perfect squares. This means that if I give him a number $x$, he immediately computes $$x^2 - (x - 1)^2$$and gives me the result. I decided one day to first give Robert the number $9$, then the number $6$, and finally the number $4$. Robert gave me three numbers in return. What is the sum of these three numbers?
Answer:
35
Step-by-step explanation:
Please look at the attachment down below.
Hope this helped! :)
The sum of three number is 35.
What is Square?A square number is the result when a number has been multiplied by itself.
For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.
Given:
if the number given is 9
9² - (9 - 1)² = 9² - 8²
= 81-64
= 17.
if the number given is 6.
6² - (6 - 1)² = 6² - 5²
= 36-25
= 11.
if the number given is 4.
4² - (4 - 1)²= 4² - 3²
= 16-9
= 7.
Thus, the sum of three number is
=17 + 11 + 7
= 35
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In 42 minutes, Mr. Goo can run 6 miles. How long does it take him to run 1 mile?
Answer:
7 min
Step-by-step explanation:
Answer:
7 Minutes
Step-by-step explanation:
If you divide 42 by 6, you get 7.
–19w + 11 = –17w − 19
w=?
Answer:
W = 15. I hope this helped.
Step-by-step explanation:
Steps:
1.Add 19w to both sides.
11=−17w−19+19w
2.Simplify -17w-19+19w to 2w-19
11=2w−19
3.Add 19 to both sides.
11+19=2w
4. Simplify 11+19 to 30.
30=2w
5.Divide both sides by 2.
30/2 = w
6.Simplify 30/2 to 15.
15=w
7.Switch sides.
w=15
Explain how you would determine the slope and y-intercept of a line
when given a table, graph and an equation.
I KISS YOUR TOES IF YOU HELP ME
Answer:
slope is m= y_2-y_1/x_2-x_1 and the y-intercept is where the line crosses over the x-axis
Step-by-step explanation:
fill in the points and do the equation m= rise(y points)/ run(x points)
m=slope
(x_1, y_1) =coordinates of first point in the line
(x_2, y_2)=coordinates of second point in the line
help!
Question 1 (1 point)
Sally sold this watch during her shift at the mall for $219. She earns 3% commission. How much did she make on the sale?
Commission: $
Answer:
6.57
Step-by-step explanation:
The soccer club held a spaghetti dinner. They sold 39 child tickets for $3.75 each and 27 adult tickets for $5.95 each. The amount for 11 child tickets was refunded. Estimate the amount of income received by the soccer club.
Answer:
265.65
Step-by-step explanation:
(3.75*39)+(27*5.95)-(11*3.75) = 265.65
What is the volume of a cylinder with radius 6 and height of 4. Use 3.14 for pi
The History Club is making T-shirts to sell for a fundraiser, at a price of $10 apiece. The costs, meanwhile, are $9 per shirt, plus a setup fee of $100. Selling a certain number of shirts will allow the History Club to cover their costs. How many shirts must be sold?
Answer:
fshdmso hdkdndjsj held by sks
? pls help lol ??????????????????
Answer:
d is not a function
Step-by-step explanation:
What is 10 times something equal 24
Answer:
2.4
Step-by-step explanation:
An easy way to find this is via division.
24 ÷ 10 = 2.4 | therefore,
2.4 × 10 = 24
Answer:
2.4
Step-by-step explanation:
"something" = x
10x = 24
divide both sides by 10
10x/10 = 24/10
x = 2.4
Show me How much is 1 5/6 as a mixed fraction
Answer:11/6
Step-by-step explanation: hope it helped if it dint tell me what exactly what i need to do and ill do it :)
Answer:
I am not sure what you are asking for
Step-by-step explanation:
1 5/6 already is the mixed fraction, if you meant to put 1 5/6 as an improper fraction your answer would be 11/6.
Or if you possibly meant 15/6 as a mixed fraction your answer would be 2 3/6
If this is not the answer you were looking for, please correct me so I can help you out.
2. A plastic smartphone case is roughly rectangular and measures 6 in. by 3 in. The back side of
the case has two sections cut out: a l in. by 0.5 in. rectangle for the camera and a triangle that
is 1.5 in. wide and 1.5 in. tall so that the brand logo on the phone is visible when it is in the
case. What is the approximate area of the plastic on the phone?
15.25 in.2
0 16.375 in.2
019.625 in 2
20.75 in 2
Answer:
ITs 16.375 in.2
Step-by-step explanation:
If your in connections and you have Lesson 4: Area of Other Figures
Math 7 B Unit 3: Measurement the whole quick check answers are
1. D. 40.5cm2
2. B. 16.375 in.2
3. B 540cm2
4. C 460
Your welcome also I swear these are right!
a model house is 22 centimeters long.If it was built with a scale factor of 3 centimeters equals to 7 feet, then how long is the house in real life
Answer:
51 1/3 feet
Step-by-step explanation:
3 cm / 7 ft = 22 cm / x ft
cross-multiply:
3x = 154
x = 51.33
A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder
Answer:
H ≈ 10.994424 m ≈ 11 mStep-by-step explanation:
[tex]V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m[/tex]
which graph models the solution of the Inequality -6 ≤ -3x
We know that graph (B) models the solution of the given inequality -6 ≤ -3x.
What are graphs?Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function.Line graphs, bar graphs, pie charts, scatter plots, and histograms are examples of common graph types. Graphs are a fantastic tool for displaying statistics and visualizing data. To depict numerical data that is unrelated to one another, a bar graph or chart may be utilized.So, in the given inequality:
-6 ≤ -3xWe know that:
Make x subject: -6/-3 ≤ xWhich is 2 ≤ x, represented in a graph (B).Therefore, we know that graph (B) models the solution of the given inequality -6 ≤ -3x.
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I need some help here please
Answer:
d. raíz de 44
[tex] \sqrt{48 \\ } [/tex]
What type of transformation moves P(3,-6) to
P'(3, 6)?
Reflection in the y-axis
Reflection in the x-axis
Rotation 180
Translation
Answer:
Rotation 180
Step-by-step explanation:
The axis points right to the rotation so it implies that exact answer
y-(-3y) combine the like terms to create an equivalent expression
Answer: 4y
Step-by-step explanation:
Distribute the negative sign to get rid of the parentheses
y+3y = 4y
If a field's length is 75m and breadth is 50m then what is the area?
Answer:
3750m^2 is it's area hope it helps
Answer:
3750m²
Step-by-step explanation:
75x50=3750
A middle school took all of its 6th grade students on a field trip to see a symphony at
a theater that has 4500 seats. The students filled 2205 of the seats in the theater.
What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
49%
Step-by-step explanation:
to get the percentage you put the number of occupied seats over total number of seats and multiply it by 100 over 1
PLEASE PLEASE HELP THE OTHER BRAINLY ANSWERS WERE WRONG IM BEING TIMED
A _____ organizes lots of information into tidy categories, but does not necessarily show a clear relationship among them.
pie chart
pictograph
table
line graph
bar graph
Answer:
A table?
Step-by-step explanation:
fingers crossed this is right
What is the solution set of –|x| = –8?
{8}
{–8}
{–8, 8}
no solution
Answer:
its c -8,8
Step-by-step explanation: