Answer:
y = 5*2ˣStep-by-step explanation:
Exponential function:
y = abˣOrdered pairs given:
(1, 10) and (4, 80)Substitute x and y values to get below system:
10 = ab80 = ab⁴Divide the second equation by the first one and solve for b:
80/10 = b³b³ = 8b = ∛8b = 2Use the first equation and find the value of a:
10 = a*2a = 5The function is:
y = 5*2ˣAnswer:
[tex]y=5 \cdot 2^x[/tex]
Step-by-step explanation:
An exponential function is written in the form:
[tex]y=ab^x[/tex]We can use the given points that the exponential function passes through to solve for a and b.
Create a system of equations by substituting (1, 10) and (4, 80) into the exponential form of a function.
[tex]\text{I}:\ 10=ab^1[/tex] [tex]\text{II}: \ 8 0=ab^4[/tex]Divide Equation I by Equation II in order to cancel out variable a.
[tex]\displaystyle \frac{80=ab^4}{10=ab}[/tex][tex]8=b^3[/tex][tex]b=2[/tex]Now we can solve for a by substituting b back into either equation from the system of equations.
[tex]10=ab[/tex] [tex]10=a(2)[/tex] [tex]a=5[/tex]Substitute 5 for a and 2 for b into the form of an exponential function to find the exponential function that passes through (1, 10) and (4, 80).
[tex]y=5 \cdot 2^x[/tex]y = 5 · 2ˣ is the exponential function that describes the graph.
Write 22 as a product of three primes
For a 5 star rating and heart/thanks
A store pays $3 for a box of plastic spoons and marks the price up by 5%. What is the
amount of the mark-up?
$
Answer:
givens
3$
5%
clue word Up
operation to be use : Multiplication
Number Sentence 3x( 5÷100=0.05 )
3x0.05=N
The Answer Is
3x0.05 = 0.15
$0.15 Is the Amount Of the Mark-Up
Hope It's Help (づ￣ ³￣)づ
[ I spend 3:00 minutes This solved It ]
please help !!!! Compare the table and equation.
x y
4 12
5 15
6 18
Equation: y = 3x
Which representation has the greatest slope?
A. The table and equation have the same slope.
B. Their slopes cannot be determined.
C. The equation has the greatest slope.
D. The table has the greatest slope.
Answer
I think A or c
Step-by-step explanation:
Your answer to this would be A, The table and equation of the same slope.
To find this, just divide Y by X. For ex, this could look something like 12 divided 4, 15 divided by 5, or 18 divided by 6.
To figure this out too, you can plug in the X and Y components into the equation to see if it checks out.
If you need any further help, please do not hesitate to ask or message me!!
plss help me i need ur guys help and if u dont i fail plsssss help im begging u
Answer: 37 hours.
Step-by-step explanation:
All you really have to do is divide 259 by 7.
Answer:
37 hours
Step-by-step explanation:
You would need to divide 259 by 7 creating your sum.
Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x
Answer:
The constant of proportionality is 7.87.
Step-by-step explanation:
The relation between x and y is given by the equation :
y = 7.87x
y is directly proportional to x i.e.
y ∝ x
To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of proportionality is 7.87.
Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90 Rel freq: 0.176 0.169 0.179 0.139 0.193 0.075 0.040 0.029
A) What proportion of the sampled angles are at least 30°? (Round your answer to three decimal places.)
B) Roughly what proportion of angles are between 10° and 25°? (Round your answer to three decimal places.)
C) Construct a histogram. Comment on any interesting features. Select all that apply
1. There are two obvious outliers.
2. Without more precise information, we cannot tell if the data contain outliers.
3. The distribution of misorientation angles is approximately symmetric.
4. The distribution of misorientation angles is heavily negatively skewed.
5. The distribution of misorientation angles is heavily positively skewed.
6. The distribution of misorientation angles is bimodal.
Answer:
Step-by-step explanation:
From the information given:
Classes Relative Frequency
0 - < 5 0.176
5 - < 10 0.169
10 - < 15 0.179
15 - < 20 0.139
20 - < 30 0.193
30 - < 40 0.075
40 - < 60 0.040
60 - < 90 0.029
1
(a)
So from above; the proportion of samples that are at least 30° can be computed as:
P(at least 30°) = (0.075 + 0.040 + 0.029)
P(at least 30°) = 0.144
(b)
The proportion of angles between 10° and 25° = (0.179 + 0.139 + 0.193)
= 0.511
(c) The histogram is constructed by using the EXCEL. The step in making the histogram include;
Insert the class and relative frequency as a data set in the excel sheetSelect relative frequencychoose insertselect chartchose 2-D column(make sure you choose the first option)select bars and tap format series, then adjust the gaps.From the histogram, the chart doesn't show an outlier. The relative frequency is not also symmetrically distributed relating to the class due to the fact that the histogram does not possess a bell shape curve. Finally, we cannot determine if the distribution is positively skewed or negatively skewed because the distribution is bimodal.
6. The distribution of misorientation angles is bimodal.
Merei and Jona buy the $2000 Super PC special package desktop computer. What is the total amount they will pay? Question response area Select one option $530 $1560 $2000 $2060 $2530
Answer:
$2000
Step-by-step explanation:
Given data
We are given that the price of the super PC is $2000
Since they are buying only one of the super PC they will have to pay
$2000
Hence option C is the correct answer
Find the perimeter of a square with sides that measure (2/3)g centimeters.
Answer:
Perimeter of a SQUARE
4 x s
4 x 2.3 = 9.2 cm
Hence the perimeter of the square is 9.2cm
Solve −2x − 15 = 6x + 9. (1 point) Question 5 options: 1) 3 2) −3 3) −1 4) 6
Answer:
2) x = -3
Step-by-step explanation:
Collect like terms, so gather all your x's on one side, and numbers in the other. Add -6x and +15 to both sides, so you get -2x - 6x = +9 + 15, so we have -8x = 24, divide both sides by -8 you get x = -3.
I will give you a brainliest if you answer this question 16
Answer:
0.75, 0.5, 0.25, 0.05
Hope it helps!!!
B.)0.75, 0.5,0.25,0.05
0.25
0.52
0.75 greatest
0.05 Least
A house painter uses 6 gallons of paint per day. How many gallons does the painter use in a 5 day workweek?
(please help me i will give brainliest)
Answer:
30
Step-by-step explanation:
6 x 5= 30
six gallons per day times 5 work days
What is the slope of the line that passes through the points (-9, 8)(−9,8) and (-21, 10) ?(−21,10)?
Answer:
slope=-1.5
Step-by-step explanation:
PICKING BRIANLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!
Which statement about the slope of the line is true?
A. It is fraction negative 1/3 throughout the line.
B. It is −3 throughout the line.
C. The slope from point O to point A is fraction 1/3 times the slope of the line from point A to point B.
D. The slope from point O to point A is 3 times the slope of the line from point A to point B.
Prove that
sinAtanA/1-cosA
= 1 + SECA
Answer:
The proof is done in the step-by-step explanation below.
Step-by-step explanation:
We are given the following identity:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}}[/tex]
And we have to show that this is equals to:
[tex]1 + \sec{A}[/tex]
Multiplying numerator and denominator by the conjugate of the denominator:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}} \times \frac{1+\cos{A}}{1+\cos{A}}[/tex]
[tex]\frac{\sin{A}\tan{A}(1+\cos{A})}{1 - \cos^2{A}}[/tex]
We use these following identities:
[tex]\sin^2{A} + \cos^2{A} = 1[/tex]
So
[tex]1 - \cos^2{A} = \sin^2{A}[/tex]
Also:
[tex]\tan{A} = \frac{\sin{A}}{\cos{A}}[/tex]
Then
[tex]\frac{\sin{A}\sin{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{\sin^2{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{1 + \cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + \frac{\cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + 1[/tex]
Since:
[tex]\sec{A} = \frac{1}{\cos{A}}[/tex]
We have that:
[tex]1 + \sec{A}[/tex]
Thus, the proof is done.
Perform the indicated operation. (2u2 - 7) ÷ (u + 3)
Answer:
2u+3-7/u
Step-by-step explanation:
factor the numerator and denominator and cancel the common favtors
A large tank holds ×5107 gallons of oil. How much oil can be stored in 23 tanks
If 10% of a number is 2 less than 20% of the same number, then 80% of the
number equals __
Answer:
254
Step-by-step explanation:
bcDSHWDJHgvshjg
For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2+5
Answer:
honestly I don't know the answer
Solve: 10 13/15 - 6 2/5 = *
Answer:4.46666666667
your welcome
Answer:
4 7/15
Step-by-step explanation:
please help !!!!!
What is the slope of the line shown in the graph?
A. -3/2
B. -1/2
C. 3/2
Answer:
-3/2
Step-by-step explanation:
Answer:
The slope of the line shown is -3/2.
Step-by-step explanation:
You can find this by using the rise/run method between the two points.
Between the two points, the line falls 3 units down (this is the rise part) and goes 2 units to the right (this is the run part). Since the line falls 3 units down between the two points, this number would be -3, and since it runs to the right by two units, the slope can be identified as -3/2.
In how many ways can you
select 3 books to bring on
vacation from a group of 11
books?
Answer:
165
Step-by-step explanation:
In 165 ways i can select 3 books to bring on vacation from a group of 11 books.
What is Combination?A combination is when you choose data from a group without any order or sequence. If the group of data is relatively lesser, you can calculate the number of possible combinations.
According to the question
Select 3 books to bring on vacation from a group of 11 books.
By using combinations formula
[tex]^{n} C _{r}=\frac{n!}{r!(n-r)!}[/tex]
[tex]^{11} C_{3}[/tex] = [tex]\frac{11!}{3!(11-3)!}[/tex]
= [tex]\frac{11.(10)(9)(8!)}{3!.8!}[/tex]
Cancelling out 8! from denominator and numerator
= [tex]\frac{11(10)(9)}{3(2)(1)}[/tex]
= 165
Thus, In 165 ways i can select 3 books to bring on vacation from a group of 11 books.
Find out more information about combinations here
https://brainly.com/question/13387529
#SPJ3
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND EXTRA POINTS IF BOTH ANSWERED
Answer:
#3.) A
#4.) C
Step-by-step explanation:
Answer:
3) D) 30°
4) A) 5°
Step-by-step explanation:
3) (24+36+55+65)÷4=45
(72+78)÷2=75
75-45=30
4) 30÷6=5
Determine the no. of permutations
for the word PHOTOGRAPH
Given:
The word is "PHOTOGRAPH".
To find:
The no. of permutations for the given words.
Solution:
The total number of letters in the word PHOTOGRAPH is 10.
It is clear that P, H, O are twice and T, G, R, A are occurred once.
To find the total number of permutations, we need to divide the permutation of 10 letters by the permutation of repeated letters.
The total number of permutations for the given word is
[tex]Permutations=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]
[tex]Permutations=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2}[/tex]
[tex]Permutations=10\times 9\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]
[tex]Permutations=453600[/tex]
Therefore, the no. of permutations for the word PHOTOGRAPH is 453600.
Doña Mago compró 3 kg de chile verde y 11 dólares de tomate en una tienda, en otra tienda compro 2 kg de chile verde y $ 24 dólares de cebolla.Si en cada tienda pago la misma cantidad de dinero y el precio de cada kg de chile verde fue el mismo en ambas tiendas cuanto costó el kg de chile ?
Answer:
NOSE BRO TU DIME JAJAAJAJAJAJAJAJAJAJAJAJAJAJAJAAJAJA XXDXDDDXXDDZXXDDDXXDDDXZDDXXDDDXXZDD$XXXXDDDDDDD
A stack of 700 pieces of paper is 10.5 inches tall. How thick is one single piece of paper?
Answer:
0.381mm or 0.015in
Step-by-step explanation:
no. of papers in the stack-700
total length of stack-10.5in
thickness of single piece of paper= 10.5/700= 0.015in=0.381mm
what is equifenlnt to 35000 cm in kelomiters
Answer:
.35 kilometers
Step-by-step explanation:
Answer:
.35 kilometers
Step-by-step explanation:
The rectangle has a length of 5x - 10 and a width of 2x. The perimeter is 120 units. Solve for x and use it to identify the actual length and width.
Answer: x= 10
Step-by-step explanation:
l= 40
w=20
P=l+w+l+w
120=5x-10+2x+5x-10+2x
120= 14x-20
120+20=14
140=14x
x=10
Answer:
x=10
L=40
W=20
Step-by-step explanation:
P=2L+2W
120=2(5x-10)+2(2x)
120=10x-20+4x
120=14x-20
14x=140
x=140/14=10
then substitute
57/4 × 1/6 = 57/24 =
57/24 = 19/8 (divide numerator and denominator by 3)
Hope this helps.
Q) 57/4 × 1/6 = 57/24 = ?
→ 57/4 × 1/6
→ 57/24 = 19/8
Therefore the final answer is,
→ 57/4 × 1/6 = 57/24 = 19/8
A pair of shoes is on sale for 40%. This would save you $30 from the price. About what is the original cost of the shoes?
Answer:
$75
Step-by-step explanation:
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2. Explain
Answer:
i d k
Step-by-step explanation:
Answer:
When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reversed. 16 > −4 and 4 > −1.