Write an
exponential function in the form y = ab^x
that goes through points (0,13) and (3,832).
Answer:
y = 13 × [tex]4^{x}[/tex]
Step-by-step explanation:
Substitute the given values into the exponential
Using (0, 13 ) , then
13 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , so
a = 13
y = 13 [tex]b^{x}[/tex]
Using (3, 832 )
832 = 13 b³ ( divide both sides by 13 )
64 = b³ ( take cube root of both sides )
b = [tex]\sqrt[3]{64}[/tex] = 4
The exponential function is
y = 13 [tex](4)^{x}[/tex]
Joie buys lunch at a local café for $8.60. If she leaves a 15% tip, how much does she spend at the café?
Answer:
$9.89
Step-by-step explanation:
1. Divide 15 from 100, which leaves you with 0.15%.
2. Multiply 8.60 and .15; that will get you 1.29.
3. Finally, add 1.29 to 8.60 to get your answer!
1 divided by 3/8
5 divided by 7/8
Answer:
2.66666666667
1.14285714286
Step-by-step explanation:
Answer:
1 divided by 3/8=2 2/3 and 5 divided by 7/8=5 5/7
Step-by-step explanation:
first you have to divided the 1 and 3/8 you will get 8/3 then you divided that and you will get 2 2/3
After you do that one you go to 5 divided by 7/8 you will get 40/7 then you divided that and you will get 5 5/7
Help pls the photo is up
Answer:
here it is plz mark me as brainliest
4. Andrew likes to solve puzzles.
It took him 4.5 minutes to complete one puzzle with 18 numbers.
It took him 6 minutes and 24 seconds to complete a different puzzle with 32 numbers.
a
For each puzzle work out how many seconds it took Andrew to complete one number.
b
Use your answer to part a to decide which puzzle Andrew completed faster.
Answer:
Step-by-step explanation:
Andrew likes to solve puzzles.
It took him 4.5 minutes to complete one puzzle with 18 numbers.
It took him 6 minutes and 24 seconds to complete a different puzzle with 32 numbers.
a For each puzzle work out how many seconds it took Andrew to complete one number.
b Use your answer to part a to decide which puzzle Andrew completed faster.
A 230 inch pipe is cut into two pieces. One piece is 4 times length of the other. find the length of the shorter piece
Answer: 46 x 4 = 184
184 + 46 is 230
Step-by-step explanation:
expand and simplify 5(3x+2) -2(4x-1)
Step-by-step explanation:
5(3x+2)-2(4x-1)
15x+10-8x+2
7x+12
En un parqueadero hay 50 vehículos. Pero si contamos sus llantas hay 140.¿Cuántos carros y motos hay? Por favor alguien que me ayude este tema es de matemáticas problemas lineales 2x2
Answer:
Carros = 20
Motos = 30
Step-by-step explanation:
Carros = x
Motos = y
x + y = 50
4x + 2y = 140
x = 50 - y
4 (50-y) + 2y = 140 (substitución)
200 - 4y + 2y = 140
- 2y = 140 - 200
y = -60/-2
y = 30
x + 30 = 50
x = 50-30
x = 20
Find the slope of the line that passes through each pair of points A. (-3,4) and (2,-3)
Answer:
slope = (4-(-3))/(-3-2)=7/-5=-[tex]\frac{7}{5}[/tex]
Step-by-step explanation:
Answer: m=-7/5
Step-by-step explanation:
[tex](-3,4) (2-^-3) \\\\\frac{-3-4}{2-^-3} \\m=-\frac{7}{5}[/tex]
Line m passes through
points X and Y. Line n passes through points x
and Z. If m and n have equal slope, what can
you conclude about points X, Y, and Z? Explain.
Answer:
X, Y, Z are collinear
Step-by-step explanation:
X,Y,Z lie on the same straight line
The slope of the lines are the same thus line m and n both passes through X, Y, and Z points and thus all three points will be colinear.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
Given that line m is passing →
Points X and Y
Line n passing →
Points X, Z
The slope of m = slope of n
If the slope same then the line will be parallel and since both lines are passing through the same point X thus they will be a colinear line.
All points that lie on the colinear line are colinear points.
Hence "X, Y, and Z all three points will be colinear".
To learn more about slopes,
https://brainly.com/question/3605446
#SPJ2
Find the unit rate: 6 children from 2 families.
Answer: For every 1 family there is 3 children.
Step-by-step explanation:
How can you use a property to write a simplified equivalent
expression?
Answer:
For example, apply the distributive property to the expression 3 (2 + ) to produce the equivalent expression 6 + 3; apply the distributive property to the expression 24 + 18 to produce the equivalent expression 6 (4 + 3); apply properties of operations to + + to produce the equivalent expression 3.
Step-by-step explanation: hope this helps
You collect a total of $75 in donations from three people. The three donations are in the ratio 4 : 4 : 7.
Answer:
20 20 35
Step-by-step explanation:
4+4+7 then divide by 75 whatever answer you get multiplyy by the 4 or the other 4 or the 7
help!!!!!!!!!!!! lots of it
Answer:
Equilateral triangle
Step-by-step explanation:
All the three sides are equal.So, it is equilateral triangle
Which type of parent function is f(x) = ?
A. Square root
B. Reciprocal
C. Quadratic
D. Cube root
SUNMIT
Answer:
Write properties of function:
x intercept/zero: x = 0
Step-by-step explanation:
Write properties of function: Write properties of function:
x intercept/zero: x = 0
Answer: Write properties of function:
x intercept/zero: x = 0
Samuel drives 144 miles in 24 hours. If he continues at the same rate, he will have driven
miles in 6 hours.
Answer:
36
Step-by-step explanation:
Find the unit rate for each hour
144/24=6
6 hrs every hour
6*6=36 miles in 6 hours
What is
5
90
in decimal form?
Answer:
590 decimal form is 5.9
Step-by-step explanation:
Answer:
0.05555555555Step-by-step explanation:
it is only a division
5/90 =
5 : 90 =
0.05555555555
What is the solution to the system of linear equations? Show your work using either substitution or elimination.
Need help rlly soon! Also please show work!
Answer:
x = 11 ; y =13
Step-by-step explanation:
3x - 2 y = 7 -------------(I)
y = x + 2 -----------(II)
Substitute y = x + 2 in equation (I)
3x - 2(x + 2) = 7
3x - 2*x + 2*(-2) = 7
3x - 2x - 4 = 7
x - 4 = 7
x = 7 + 4
x = 11
Plugin x = 11 in equation(II)
y = 11 + 2
y = 13
A recent report found that a local creamery has a 35% market share in a certain region. Employees in the marketing
department of the creamery conduct a survey to confirm the results by randomly selecting 300 residents from the regon
The employees asked the question which brand of ice cream do you usually purchase to each resident Use a normal
approximation to calculate the probability that at most 80 of these people will choose the creamery's brand. Use a T1-83,
83 plus, or T-34 calculator to find the probability
- Round your answer to four decimal places
Using the normal approximation to the binomial, it is found that there is a 0.0015 = 0.15% probability that at most 80 of these people will choose the creamery's brand.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem:
35% market share, hence [tex]p = 0.35[/tex].300 residents are surveyed, hence [tex]n = 300[/tex].The mean and the standard deviation are given by:
[tex]\mu = np = 300(0.35) = 105[/tex]
[tex]\sigma = \sqrt{np(1-p)} = \sqrt{300(0.35)(0.65)} = 8.26[/tex]
Using continuity correction, the probability that at most 80 of these people will choose the creamery's brand is [tex]P(X \leq 80 + 0.5) = P(X \leq 80.5)[/tex], which is the p-value of Z when X = 80.5, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80.5 - 105}{8.26}[/tex]
[tex]Z = -2.97[/tex]
[tex]Z = -2.97[/tex] has a p-value of 0.0015.
0.0015 = 0.15% probability that at most 80 of these people will choose the creamery's brand.
A similar problem is given at https://brainly.com/question/25298431
[tex]\sf HELP![/tex]
[tex]\sf 17=2x-9[/tex]
Answer:
x=13
Step-by-step explanation:
Switch sides:
2x−9=17
Add 9 to both sides:
2x−9+9=17+9
Simplify
2x=26
Divide both sides by 2:
2x/2 =26/2
Simplify to get the result.
x=13
Answer:
x=13
Step-by-step explanation:
[tex]\sf 2x-9=17[/tex]
[tex]\sf 2x-9+9=17+9[/tex]
[tex]\sf 2x=26[/tex]
[tex]\sf \cfrac{2x}{2}=\cfrac{26}{2}[/tex]
[tex]\sf x=13[/tex]
F(x)=x2 -x and g(x)=12-x2
Answer are in pictures below
Write an expression that
exponent.
equals 40. Include an exponent
Answer:
8x2 to the second power plus 8.
Step-by-step explanation:
not my answer but I hope this helps
40 = 49 - 9
49 is equal to 7×7, or 7². 9 is equal to 3×3, or 3².
we can write this as [tex]7^{2}[/tex] - [tex]3^{2}[/tex]
Another way:
(10 - 3[tex])^{2}[/tex] - [tex]\sqrt{81}[/tex]
this is algebra 1 id appreciate it if you could help me thx!
18 A = {multiples of 5 between 14 and 26}
B = {odd numbers between 14 and 26}
(a) List the members of A u B
(b) Describe the members of A n B
Answer:
13;14;17;19;20;21;23;25
Step-by-step explanation:
this is so simple
Identify the figure that illustrates "a reflection in line k."
Please Help Me. Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x+4y=4
Identify the segment bisector of XY.
n
5x + 8
9x + 12
Х
M
1
ОХМ
Ο Χ
O line n
O YM
The length of XY is
Given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:
Segment bisector of XY = line nLength of XY = 6Recall:
A line that divides a segment into two equal parts is referred to as segment bisector.In the diagram attached below, line n divides XY into XM and MY.
Thus, the segment bisector of XY is: line n.
Find the value of x:
XM = MY (congruent segments)
Substitute[tex]5x + 8 = 9x + 12[/tex]
Collect like terms and solve for x[tex]5x + 8 = 9x + 12\\5x - 9x = -8 + 12\\\\-4x = 4\\\\x = -1[/tex]
XY = XM + MY
[tex]XY = 5x + 8 + 9x + 12[/tex]
Plug in the value of x[tex]XY = 5(-1) + 8 + 9(-1) + 12\\\\XY = -5 + 8 -9 + 12\\\\\mathbf{XY = 6}[/tex]
Therefore, given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:
Segment bisector of XY = line nLength of XY = 6Learn more here:
https://brainly.com/question/19497953
I will brainlist who can answer this 4 Questions!!
III. Answer each of the follow
Answer:
25. 7 months
26. Php 12500
27. a. 3x-4y=8
b. 4x+2y=0
c. _ graph yourself
d. Yes it does
28. A. Yes
B. Yes
C. No
what is 7.5% less than 120
Answer:
111Step-by-step explanation:
7.5% less than 120
120 - 7.5% of 120 = 120(1 - 7.5/100) = 120*0.925 =111-108y^4 - 4y
I just need the steps, screw the answer if you want.
Answer:
-4y(3y + 1) (9y^2 - 3y + 1)
Step-by-step explanation:
-108y^4 - 4y
= -4y(27y^3 + 1)
= -4y(3y + 1) (3^2y^2 - 3y + 1)
= -4y(3y + 1) (9y^2 - 3y + 1)
Answer:
-4y(3y + 1) (9y^2 - 3y + 1)