I will brainliest if correct! The graph of an exponential model in the form y=aXb^x passes through the points (3,5) and (4,10). Which point is also on the graph?(Multiple choice)
Answer:
The fourth choice.
Step-by-step explanation:
An exponential function passes through (3, 5) and (4, 10).
And we want to determine which other point is also on the graph.
First, we can find the exponential function. A standard exponential function is in the form:
[tex]y=a(b)^x[/tex]
The point (3, 5) tells us that y = 5 when x = 3. Thus:
[tex]5=a(b)^3[/tex]
The point (4, 10) tells us that y = 10 when x = 4. Thus:
[tex]10=a(b)^4[/tex]
In the first equation, we can divide both sides by a:
[tex]\displaystyle \frac{5}{a}=b^3[/tex]
And we can rewrite the second equation:
[tex]\displaystyle 2(5)=a(b^4)\Rightarrow 2\Big(\frac{5}{a}\Big)=b^4[/tex]
Substitute:
[tex]2b^3=b^4[/tex]
Divide:
[tex]b=2[/tex]
Using the first equation again, substitute:
[tex]5=a(2)^3[/tex]
Simplify and solve:
[tex]5=a(8)\Rightarrow \displaystyle a=\frac{5}{8}[/tex]
So, our exponential function is:
[tex]\displaystyle y=\frac{5}{8}(2)^x[/tex]
Next, we can simply try each point and see which point is correct.
Testing the first point (remember that (2,0) means that y = 0 when x = 2):
[tex]\displaystyle 0\stackrel{?}{=}\frac{5}{8}(2)^0=\frac{5}{8}(1)=\frac{5}{8}\neq 0[/tex]
Testing the second point:
[tex]\displaystyle 1\stackrel{?}{=}\frac{5}{8}(2)^2=\frac{5}{8}(4)=\frac{5}{2}\neq 1[/tex]
The third point:
[tex]\displaystyle 15\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\neq 15[/tex]
And the fourth point:
[tex]\displaystyle 20\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\stackrel{\checkmark}{=}20[/tex]
Therefore, D is the correct choice.
Answer:
(2,0)
Step-by-step explanation:
The answer is (2,0) because the number line passes through that point
Please Answer ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
6/3=2/1
Step-by-step explanation:
6/3 is the same as 2/1 because if we divide the common denominator, 3, on both sides, your answer will be 2/1.
Doug wants to use mental math to add 413 and 351.
Which of these shows how to break apart the numbers into hundreds, tens, and ones?
A.
00:00
Break 413 into 400 + 13. Break 351 into 300 + 50 + 1.
B.
00:00
Break 413 into 400 + 10 + 3. Break 351 into 300 + 51 + 1.
C.
00:00
Break 413 into 400 + 10 + 3. Break 351 into 300 + 50 + 1.
D.
00:00
Break 413 into 400 + 13. Break 351 into 300 + 51.
Envlopes are sold in packages of 20 there are 7 large envlopes in each package how many large envlopes will you get when you buy 160 envlopes
Answer:
56 large envelopes
Step-by-step explanation:
160/20 = 8 packages
8 x 7 = 56 large ones
PLEASE HELP AND ILL GIVE BRAINLIEST
GEOMETRY
Answer:
[tex] m\widehat {WV} = 50\degree[/tex]
Step-by-step explanation:
Let O be the center of the circle.
[tex] m\angle VOU =m\angle TOU... (given) [/tex]
[tex] \therefore m\angle VOU =(5x + 10)\degree[/tex]
[tex] [\because m\angle TOU = (5x +10)\degree] [/tex]
[tex] m\widehat {TUV} = (5x +10)\degree + (5x +10)\degree [/tex]
[tex] m\widehat {TUV} = (10x +20)\degree [/tex]
[tex] m\widehat {SW} =m\widehat {TUV} [/tex]
[tex] (12x-2)\degree = (10x +20)\degree [/tex]
[tex] 12x-2 = 10x +20 [/tex]
[tex] 12x-10x = 2 +20 [/tex]
[tex] 2x = 22 [/tex]
[tex] x = \frac{22}{2}[/tex]
[tex] x = 11[/tex]
[tex] m\widehat {WV} = 180\degree - m\widehat {TUV}[/tex]
[tex] m\widehat {WV} = 180\degree - (10x +20)\degree[/tex]
[tex] m\widehat {WV} = 180\degree - (10\times 11+20)\degree[/tex]
[tex] m\widehat {WV} = 180\degree - 130\degree[/tex]
[tex] m\widehat {WV} = 50\degree[/tex]
c. Tyler's brother earns $12 per hour. The store offers him a raise-a 5% increase per hour. After the
raise, how much will Tyler's brother make per hour?
Answer:
The answer is $12.60
Based on the equation 7x+42=y predict the number of customers to visit the frozen yogurt when it's 10 degrees
Answer:
112 visitors
Step-by-step explanation:
Given the prediction equation :
y = 7x + 42
x = temperature
y = number of visitors (customers)
Number of visitors when temperature is 10 degree
y = 7(10) + 42
y = 70 + 42
y = 112
Hence, the model predicts that 112 customers will visit when temperature is 10 degrees
Which of the following lists of lengths could not be the side.
lengths of a triangle?
Select one:
O
5 cm, 7 cm, 15 cm
3 cm, 3 cm, 3 cm
О
4 cm, 4 cm, 5 cm
2 cm, 6 cm, 7 cm
PLZ HELP PLZ HELP PLZ HELP PLZ HELP PLZ HELP PLZ HELP NO ONE HELPS ME 50 POINTS I WILL GIVE MORE PROBLEMS FOR MORE POINTS JUST PLZZZZZZ HELP
Carmen is filling a tank with water at a rate of 4 gallons per minute. The tank already had 170 gallons of water in it. Suppose the tank holds a total of 350 gallons of water. How much longer will it take her to fill the tank?
(a) Write an equation to help answer the question above.
Choose the correct form below and fill in the blanks using only 4, 170, and 350.
(The variable x is used to represent the number of minutes.)
o_x+_=_
or
o_-_=_
(b) Write an expression to help answer the question above.
Choose the correct form below and fill in the blanks using only 4, 170, and 350
o_+_
_
or
o_-_
_
(c) How much longer will it take Carmen to fill the tank?
_ minutes
Answer: In explanation
Step-by-step explanation: 350-170=4x
Solve 180=4x
45=x 45 minutes longer
4x+170=350 because you would want to subtract 170 from each side not add 170 to each side when simplifying
4x+170 because that is how much gas the tank can hold. You need to have 4x in the equation and 350 and 4x wouldn't make sense so use 4x and 170.
45 minutes as stated above.
Blank minus 1/8 equals 1/2
Answer:
5/8
Step-by-step explanation:
hope this helps you!!!!
How much fabric is needed to make this
tent if the tent includes a fabric floor?
4 ft
3 ft
7 ft
5.2 ft
Answer
F
35.8 ft?
G
54.6 ft?
H 71.6 ft
J
108 ft?
ologies Inc. 2021 - Edugence
Answer:
f
Step-by-step explanation:
See image for question.
Please show workings and diagrams.
Answer:
a) 258 kmb) 267°c) 87°Step-by-step explanation:
Refer to attached diagram (not to scale).Given details are reflected.First find the measure of angle Q
m∠Q = 36° + (180° - 125°) = 91°a) Use law of cosines to find x:
x = √(160² + 200² - 2160*200*cos 91°) = 258 km (rounded)Use the law of sines to find the missing angles:
258 / sin 91 = 160 / sin R = 200 / sin Pm∠R = arcsin (160 sin 91° / 258) = 38°m∠P = 180° - (91° + 38°) = 51°b) Bearing P from R:
360° - (55° + 38°) = 267°c) Bearing R from P:
36° + 51° = 87°Answer:
a) Use law of consines to find x:
x=(160 2+200 2-2160×200× cos 91 grades) =258 km.
b) Bearning P from R:
360 grades - ( 55 degrees + 38 degrees)
is 7^2 greater then or less than 3^4?
Step-by-step explanation: 7^2 = 49, but 3^4 = 81. 49 < 81
Answer: less
Step-by-step explanation: 7^2 is 49 and 3^4 is 81....
How can 118 be simplified
360
Answer:
59180
Step-by-step explanation:
Reduce 118/360 to lowest terms
The simplest form of 118360 is 59180.
I hope this helps :)
Complete the square and write the equation in Vertex Form:
f(x) = x2 +
+ 10x + 25
Answer:
f(x) = (x + 5)²
Step-by-step explanation:
f(x) = x² + 10x + 25 = (x + 5)²
y = a (x - h)² + k vertex: (h , k)
a = 1 h = -5 k = 0
Use distributive property. 4 x 63 = ??
Answer:
(4) * (63)
252
(*￣3￣)╭
pls for the love of god someone explain how to do this to me
In your own words, explain the steps you would need to take to find a slope from data in a table.
Answer:
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Step-by-step explanation:
Answer:
To Find the slope of a data table, you first need to plot two points on the line. It is easiest if the points are on a coordinate with whole numbers (i.e. (3,6 and (4,8)). Once you have plotted two pints, you then need to take the value of the point with the largest x value, and subtract the other points from it (i.e. (4,8)-(3,6)=(1,2). Then, take the new y value, and divide it by the new y-value (i.e. (2/1), and you have your slope.
Step-by-step explanation:
plot points (3,6), (4,8)
subtract points (4,8)-(3,6)=(1,2)
divide new points 2/1
m=2/1, or 2
PLS HELP TAKIN A FINAL WILL MARK BRAINLIST 75 PTS
If x is not zero, then x° = 1.
Sometimes never or always?
Answer:
Always
Step-by-step explanation:
Anything to the power 0 is 1
what's an expression that represents 5 less than the product of 7 and a number?
Answer:
7x-5
Step-by-step explanation:
9. Given that P = (-1,16) and Q = (1, 9), find the component form and
magnitude of vector QP (Q is initial and Pis terminating). *
PLSSSSS HELPPPPPPPPPPPP THIS WAS SUPPOSED TO BE FOR
YESTERDAY PLSSSS SOMEONE URGENT!!!!!!!!!!!!!!!plssssssssssssssss
Answer:
C
Step-by-step explanation:
[tex] \frac{5x - 2}{2} = 9[/tex]
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{5x -2 }{2} = 9 \\[/tex]
Cross multiply,
5x - 2 = 9*2
5x - 2 = 18 {Add 2 to both sides}
5x = 18 +2
5x = 20 {Divide both sides by 5}
x = 20/5
x = 4
A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The table shows the data:
Number of hours spent studying
()
0
0.5 1 1.5 2 2.5 3 3.5 4
Seore on science test
V)
57 62 67 72 77 82 87 99 97
Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer
Answer:
A.)
the correlation between the number of hours students spent studying and the score on the science test seems to be that the people who spent more time studying got a better score than the people who didn't/ did less.
B.)
y = a - b ^x
a = 57
b = 5
because every .5 hours adds 5 points to the score
y = 57 (5) ^x
and as a function
F(x)= 57(5)
C.)
slope: 10
y / x
5 / 0.5
= 10
y-intercept: 57
x is 0 and y is 57 that is the y-intercept
it has a positive slope.
CAN YOU PLS HELPS ME AND NO LINKS ALOUD.....PLS HELPS ME I WIL GIVE CROWN
Answer:
I'd say the first one, it is most common for states to have four or fewer roller skating rinks.
Have a lovely day/night! <3
Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?
Answer:
Difference in total payback = $5734.64
Step-by-step explanation:
Formula for the simple interest payout,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
P = Principal amount of loan
r = rate of interest (Annually)
t = Duration for the payment
Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]
= $13050
Total payable amount = 18000 + 13050
= $31050
Formula for the amount payable with compound interest,
Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]
Here, t = Duration of investment
r = rate of interest (Annual)
n = Number of compounding per year
Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]
= 18000(1.089)⁴
= $25315.36
Difference in total payback = $31050 - $25315.36
= $5734.64
If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.
Brainiest to whoever answers this!! and please
Answer: Number 9: x = 20, Number 10: x = 65
Step-by-step explanation:
Number 9:
3x + 10 = 90 - x
3x + x = 90 - 10
4x = 80
80 / 4
x = 20
Number 10:
2x + 15 = 145
2x + 15 - 15 = 145 - 15
2x = 130
2x / 2 = 130 / 2
x = 65
please use the image to solve it
Answer:
C, D and E are the correct statement
If there is 45 ml of milkshake left .She used 1 part strawberry cream to 4 parts milk .How many ml of milk is left?
Given:
Remaining milkshake = 45 ml
She used 1 part strawberry cream to 4 parts milk.
To find:
The remaining amount of milk.
Solution:
It is given that, she used 1 part strawberry cream to 4 parts milk. It means the ratio of strawberry cream and milkshake is 1:4.
Let the remaining amount strawberry cream be x and the remaining amount of milk is 4x. Then,
[tex]x+4x=45[/tex]
[tex]5x=45[/tex]
[tex]x=\dfrac{45}{5}[/tex]
[tex]x=9[/tex]
Now, the remaining amount of milk is:
[tex]4x=4(9)[/tex]
[tex]4x=36[/tex]
Therefore, the remaining amount of milk is 36 ml.
7. Emma says that Function A and
Function B have the same initial
value. Is Emma correct? Justify your
response.
Function A
ly У
6
4
2
х
0
0 2 4 6
Function B
4
6
8
10
2
х
4
6
3
5
2
у
Answer:
NO. Emma is not correct.
Step-by-step explanation:
✔️Initial value for Function A:
The initial value is the y-intercept of the graph. The y-intercept is the point at which the line intercepts the y-axis. From the graph given, the line intercepts the y-axis, at y = 2, when x = 0.
Initial value for Function A is therefore = 2
✔️Initial Value of Function B:
To find the initial value/y-intercept for Function B, do the following:
Using two pairs of values form the table, (2, 2) and (4, 3), find the slope:
Slope (m) = ∆y/∆x = (3 - 2) / (4 - 2) = 1/2
Slope (m) = ½
Next, substitute (x, y) = (2, 2) and m = ½ into y = mx + b, to find the intial value/y-intercept (b).
Thus:
2 = ½(2) + b
2 = 1 + b
2 - 1 = b
1 = b
b = 1
The initial value for Function B = 1
✅The initial value for Function A (2) is not the same as the initial value for Function B (1). Therefore, Emma is NOT CORRECT.