Answers
Answer:
[tex]y =5(3)^x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation of the table
The table represents an exponential function. So, we make use of
[tex]y = ab^x[/tex]
When x = 0, y= 5.
So:
[tex]y = ab^x[/tex] becomes
[tex]5 = ab^0[/tex]
[tex]5 = a*1[/tex]
[tex]5 = a[/tex]
[tex]a = 5[/tex]
When x = 1; y = 15
So;
[tex]y = ab^x[/tex] becomes
[tex]15 = a * b^1[/tex]
[tex]15 = a * b[/tex]
Substitute 5 for a
[tex]15 = 5 * b[/tex]
Divide both sides by 5
[tex]\frac{15}{5} = \frac{5 * b}{5}[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
Substitute values for a and b in: [tex]y = ab^x[/tex]
[tex]y =5(3)^x[/tex]
Related Questions
The tax on a $50 item is $3.00.
Find the tax on a $140 item.
Answers
Answer:
The tax is 6% of the item. 140*0.06=$8.40
Step-by-step explanation:
Answer:
$8.40
Step-by-step explanation:
3÷50=.06
.06*140=8.4
Which graph represents the function f(x) = 4|x|?
Answers
Answer:
The 2nd one
Step-by-step explanation:
It is a compression, because you are multiplying by a whole number greater than 1, therefor the line will look thinner
a bacteria culture doubles every 3 minutes. if 400 bacteria started, how long will it take before there are 2000 in the culture?
Answers
Answer:
15 minutes
Step-by-step explanation:
400 to 2000(x5)
so, 3 times 5 is equal to 15 min
Geometry A. In unit 2, you learned three different criteria for proving triangle congruence: ASA, SAS, and SSS. Can you give me the summarize each of them for me? 100 POINTS
Answers
Answer:
we use the ASA when a triangle is conguerent by angle,side,angle.
SAS se when atriangle is conguerent by side,angle,side
sss when the triangle is conguerent by side,side,side
Answer:
ASA- The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
SAS- is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
SSS- If two triangles are congruent it means that all corresponding angle pairs and all corresponding sides are congruent. The SSS criterion for triangle congruence states that if two triangles have three pairs of congruent sides, then the triangles are congruent
Step-by-step explanation:
A book and a magazine cost 9.00. If a book costs 3$ more than a magazine , what is the cost of each
Answers
can anyone give me the formula to this or how to solve it? thanks
Answers
Multiply L x h and get 86.25
Divid that number by 258 and 3/4
BOOM
The width is 3.
A rectangular prism is 3d. This means that there are three dimensions being multiplied by each other to obtain the overall volume. We can use the equation V = lwh to solve this equation, with V being volume, and the following, length, width, height. Substituting in the values (and changing the mixed numbers to improper fractions for simplicity):
1035/4 = (15/2)(23/2)(w)
w = (1035/4)(2/15)(2/23)
w = 3
Sweet Orange
$1.29/lb
What's the final price of 8 pounds of oranges? Assume that the tax is regular and that your
membership gives you an extra 10% off. *
Answers
10.32x10%
10.32x0.10=1.03
10.32-1.03=9.29
A bag contains 4 red, 3 green, 2 yellow marbles. One marble is randomly chosen. What is the probability that the marble picked is red?
Answers are
A. 4/5
B.1/4
C. 1/3
D.4/9
Answers
Answer:
D
Step-by-step explanation:
total marbles
9
red marbles- 4
so prob is 4/9 or D
if my answer helps please mark as brainliest
Answer:
D
Step-by-step explanation:
4+3+2= 9
4 of the 9 are red and we can not simplify.
1. The average attendance at a local high school this year was 950
students. Each year the attendance decreases at a rate of 0.5% per year.
What will the average attendance be in three years? *
Answers
100% - 0.5% = 99.5% or 0.995
One year: 950 x 0.995 = 945.25 or 945 students
Two years: 945 x 0.995 = 940.5 or 941 students
Three years: 941 x 0.995 = 935.8 or 936 students :)
0.3 - 0.04 = i need it ASAP
Answers
I need to know the answer ASAP
Answers
Q2) Four O’clock
Subtract 7−5x from 2−3x . What is the difference?
Answers
Answer:
7−5x from 2−3x
Step-by-step explanation:
you flip them and get 2−3x 7−5x. try it that way...
i forgot to bring a piece of paper, im on the road
What is the answer to the question?
Answers
Answer:
exponential function i think
Step-by-step explanation:
Choose the graph of the inequality x> -2
Choose 1 answer. HELPPPP
Answers
Step-by-step explanation:
step 1. x > -2 means numbers greater than -2 but not including -2.
step 2. you graph a single variable on a number line.
step 3. the graph would include an open circle above -2 (not equal to -2)
step 4. the line would go right of the open circle (greater than) and have an arrow at the end.
step 5. the answer is b.
Can you explain to me how to solve this?
Answers
Find the quotient: 68/6
Answers
Answer:
The answer is 11. 2 is the remainder
Step-by-step explanation:
hope this helps
7 1/3 : 2 4/9= what does it equal?
Answers
Answer:
3/1 or 3
Step-by-step explanation:
7 1/3 = 7x3 + 1/3 =21 + 1/3 =22/3
7x3/3 = 21/3
-------------------------------------------------
2 4/9 2x9 + 4/9 = 18 + 4 /9= 22/9
2x9/9 = 18/9
Divide: 22/3 : 22/9 =22/3 x9/22 =
22/3 x 9/22 = 198/66 66/66 x 3/1 = 3
The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function
Answers
Answer:
[tex]y = 1125x+30000[/tex] --- The equation
The median income in 2030 is $75000
Step-by-step explanation:
Given
Represent years since 1990 with x and the income with y.
So, we have:
[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990
[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006
Solving (a): Express as a function.
First, we calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{48000-30000}{16-0}[/tex]
[tex]m = \frac{18000}{16}[/tex]
[tex]m = 1125[/tex]
The equation is then calculated as:
[tex]y = m(x-x_1)+y_1[/tex]
This gives:
[tex]y = 1125(x-0)+30000[/tex]
Open bracket
[tex]y = 1125x-0+30000[/tex]
[tex]y = 1125x+30000[/tex]
Solving (b): Income in 2030.
In 2030, x = 40.
Substitute 40 for x in [tex]y = 1125x+30000[/tex]
[tex]y = 1125*40 +30000[/tex]
[tex]y = 45000 +30000[/tex]
[tex]y = 75000[/tex]
Solving (c): The significance of the slope.
In (a), the slope is calculated as 1125.
This implies that the yearly rate is $1125
PLS HELP TIMED QUESTION!!!
A quantity with an initial value of 9800 decays exponentially at a rate such that the quantity cuts in half every 6 days. What is the value of the quantity after 138 hours, to the nearest hundredth?
Answers
Answer:
About 5043.58
Step-by-step explanation:
The standard form for an exponential decay after t time is:
[tex]\displaystyle f(t)=a(r)^{t/d}[/tex]
Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.
The initial value is 9800. So a = 9800.
The quantity cuts in half. So, r = 1/2.
And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.
Therefore, our function is:
[tex]\displaystyle f(t)=9800\Big(\frac{1}{2}\Big)^{t/144}[/tex]
Where t is the amount of time that has passed, in hours.
Then the quantity left after 138 hours will be:
[tex]\displaystyle f(138)=9800\Big(\frac{1}{2}\Big)^{138/144}\approx 5043.58[/tex]
Ira bought a t-shirt that was discounted 50%. He used a coupon for 50% off at the cash register. Why was he charged $6.50 instead of $0?
Answers
50% off makes the new price half of the original, then another 50 % would be half off the discounted price, so they actually end up paying 25 % of the original price:
50 % x 50 % = 25 %
Answer:
she was charged for 50% of the 50% off
Step-by-step explanation:
Lets say the original price was 100$ The store discounted it by 50% so it is now 50$ but the coupon take 50% off of that 50 so it would be 25$
Find the curved surface area of a cylinder if it's base circumference is 36 cm and it's height is 4 cm
Answers
Answer:
CSA of a cylinder = 144cm²
Step-by-step explanation:
Given the following data;
Base circumference = 36cm
Height = 4cm
To find the curved surface area (CSA) of the cylinder;
CSA of a cylinder = 2πr * h
But 2πr = 36cm
Substituting the values into the equation, we have;
CSA of a cylinder = 36 * 4
CSA of a cylinder = 144cm²
Hi! Please i need your help!. Thank you to those who help and answer correctly
Answers
Answer:
I believe there are 5
Step-by-step explanation:
if there are 4 friends and Mary then that makes 5 people in total.
I need some help with this and with the other 6 question! Help this girl in need
Answers
Answer:
i think it is y=15x-6
Step-by-step explanation:
if it is correct plz plz mark as brainliest
thank you
19NBoli
Answer:
y = 2x-6
Step-by-step explanation:
Slope intercept form:
y = mx+b
m = slope
In this case the slope is 2/1 or 2.b = The point where the line crosses the y-axis
In this case -6 is the exact point the line crosses the y-axisSo if you put it all together you get the answer of:
y = 2x-6
I hope this helped!
P.S. I am so sorry I couldn't respond earlier :(
Sincerely,
Rekifromsk8theinfinity
:D
Without making any calculations, which distribution of data has the largest standard deviation?
1, 1, 1, 1, 4, 4, 7, 7, 7, 7
1, 1, 1, 4, 4, 4, 4, 7, 7, 7
1, 1, 4, 4, 4, 4, 4, 4, 7, 7
1, 4, 4, 4, 4, 4, 4, 4, 4, 7
Answers
Answer:
#4 it makes the most sense.
Step-by-step explanation:
Sorry if i'm wrong
Answer:
It's the first one, A
Step-by-step explanation:
Plugged each one into a SD calculator, the first one is the largest
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x^2 + 232x + 134
Answers
Answer:
15.06 seconds.
Step-by-step explanation:
Hit Ground→Height=0
−16x^2 +232x + 134=0
Whoever is awake I need help with math points and brainlest
Answers
Answer:
the first one or A. hope this helps.
Step-by-step explanation:
Explain the differences between properties of equality
and properties of inequality when solving equations and
inequalities.
Answers
Step-by-step explanation:
step 1. properties of equality have an "=" in the equation.
step 2. properties of inequality have a <, <=, >=, or a >.
Plzzz helpppppp!!!!!!
Answers
Answer:
(c) [tex]h(3) = 1[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Find h(3)
The formula to use in solving this is:
[tex]y = h(x)[/tex]
Substitute 3 for x
[tex]y = h(3)[/tex]
From the attached graph, the value od x = 3 points to the value of y = 1.
So, we have:
[tex]y = 1[/tex]
Write an equation that is parallel to y=3x+5 and passes through the point (-4,-13).
Answers
Answer:
y = 3x - 1
Step-by-step explanation:
Please let me know if you want me to add an explanation.
y = 3x + 5
m = 3 but its parallel so m =-¹/₃
y-y₁ = m (x-x₁)
y - (-13) = -¹/₃ (x-(-4) )
y + 13 = -¹/₃ (x+4)
y + 13 = -¹/₃x - ⁴/₃
y = -¹/₃x - ⁴/₃ -13
y =-¹/₃x - ⁴³/₃
Which set of values for x makes the inequality 12−x<7 true
Answers
Answer:
[tex]\{x:x>5\}[/tex]
Step-by-step explanation:
Given
[tex]12 - x < 7[/tex]
Required
Values of x that make it true
First: solve the inequality.
[tex]12 - x < 7[/tex]
Collect Like Terms
[tex]- x < 7-12[/tex]
[tex]- x < -5[/tex]
Multiply both sides by -1
[tex]-1 * - x < -5 * -1[/tex]
[tex]x > 5[/tex] --- The inequality changes when multiplied by a negative value
So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)
Hence, the set is:
[tex]\{x:x>5\}[/tex]