Answer:
y= 7^-t
Step-by-step explanation:
Equation for exponential decay:
An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.
In this question:
First option 4 is elevated, so not exponential decay.
Second option:
[tex]7^{-t} = \frac{1}{7^t} = (\frac{1}{7})^{t}[/tex]
[tex]0 < \frac{1}{7} < 1[/tex], thus, the second option represents exponential decay.
Write your answers in the spaces provided.
1 Adam works for a car trading company.
He has this information about the number of cars sold by the company in the
first six months of 2017
NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AL
Jan
Feb
Mar
Apr
May
Jun
31
28
46
52
44
62
Number of cars sold
Adam says
The mean number of cars sold each month in this period was
more than 42
The number of cars sold in June 2017 was more than of the number
of cars sold from the beginning of January to the end of June.
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
(a) Is Adam correct?
Show why you think this.
Answer:
Yes adam is correct, because from January to June the cars sold are more and increased
while the mean is the addition of all the cars sold in(Numbers) the six month and divided by six(6) month
The function
3
y = 72(2)
means
y= 72 (2) (2) (2)
O True
O False
Answer:
True
Step-by-step explanation:
y=72(2)
= 576
y=72(2)(2)(2)
=576
A sphere has a volume of 1 cubic foot. What is the approximate diameter of the sphere?
Answer:
[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 \\\\1 =\frac{4}{3} \pi r^3\\\\r^ 3 = \frac{3}{4\pi} \\\\r = (\frac{3}{4\pi })^{\frac{1}{3} } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft[/tex]
Answer:
1.24 ft
Step-by-step explanation:
the volume of sphere = 4/3π.r³ = 1
=> r³ = 3/(4π)= 3/(12.56) = 0.239
r = ³√0.239
r = 0.62
d = 2×0.62 = 1.24 ft
Someone said the answer is -5 but can you explain how?
Answer:
-5
Step-by-step explanation:
add 5 and 10 makes 14
minus 5 from 15
multiply 10 and 4 and add to 15 to get 40
subtract 45 from 40 and get -5
We often deal with weighted means, in which different data values carry different weights in the calculation of the mean. For example, if the final exam counts for 50% of your final grade and 2 midterms each count for 25%, then you must assign weights of 50% and 25% to the final and midterms, respectively, before computing the mean score for the term. Apply the idea of weighted mean in the following exercise.
A student is taking an advanced anatomy class in which the midterm and final exams are worth 30% each and homework is worth 40% Of his final grade. On a 100-point scale, his midterm exam score was 82.5, his homework average score was 91.6, and his final exam score was 88.6.
Required:
a. On a 100-point scale, what is the student's overall average for the class?
b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?
Answer:
a) The student's overall average for the class is 87.97.
b) He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.
Step-by-step explanation:
Weighed average:
To solve this question, we find the student's weighed average, multiplying each of his grade by his weights.
Grades and weights:
Scored 82.5 on the midterm, worth 30%.
Scored 88.6 on the final exam, worth 30%.
Scored 91.6 on the homework, worth 40%.
a. On a 100-point scale, what is the student's overall average for the class?
Multiplying each grade by it's weight:
[tex]A = 82.5*0.3 + 88.6*0.3 + 91.6*0.4 = 87.97[/tex]
The student's overall average for the class is 87.97.
b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?
Score of x on the final class, and verify that the average could be 93.5 or higher. So
[tex]A = 82.5*0.3 + 88.6*0.3 + 0.4x[/tex]
[tex]A \geq 93.5[/tex]
[tex]82.5*0.3 + 88.6*0.3 + 0.4x \geq 93.5[/tex]
[tex]0.4x \geq 93.5 - (82.5*0.3 + 88.6*0.3)[/tex]
[tex]x \geq \frac{93.5 - (82.5*0.3 + 88.6*0.3)}{0.4}[/tex]
[tex]x \geq 105.425[/tex]
He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.
66 cm
Is this radius or diameter?
1
2
Diameter
Radius
Zoom in
If the line is going straight across the circle, is it the radius or diameter?
Diego runs a 10 kilometer race and keeps track of his speed.
A. What is Diego's speed at 8 kilometer mark in the race?
B. According to the graph, where was Diego when he was going the fastest during the race?
Answer:
A. 10 km/h
B. 6 kilometers into the race
Step-by-step explanation:
Read from the graph.
The x-axis (along the bottom) is the distance in kilometers.
The y-axis (going up) is the speed in km/h.
A. Reading from the x-axis at 8, go up until you reach the line. Read to the left and we get 10 km/h.
B. Look at which point is the highest. Which is at 12 km/h where he was 6 km into the race.
WILL
GIVE BRAINLIST
ANSWER
MATH
Answer:
Mean = 4.7
Mode = 5
Median = 5
Step-by-step explanation:
Mean = Σfx / Σf
Σfx = (3*4) + (4*5) + (5*7) + (6*2) + (7*2) = 93
Σf = (4+5+7+2+2) = 20
Mean = 93 / 20
= 4.65
= 4.7
Mode = highest occurring = vlaue with highest frequency = 5
Median :
20 / 2 = 10
Value corresponding to the 10th term = 5
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A (8,6), B(-2,-9); 3 to 2
The coordinates of point P are
Answer:
[tex]P = (2,-3)[/tex]
Step-by-step explanation:
Given
[tex]m : n = 3 : 2[/tex]
[tex]A = (8,6)[/tex]
[tex]B = (-2,-9)[/tex]
Required
The coordinate of {
This is calculated as:
[tex]P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
So, we have:
[tex]P = (\frac{3*-2 + 2*8}{3 + 2},\frac{3*-9 + 2*6}{3 + 2})[/tex]
[tex]P = (\frac{10}{5},\frac{-15}{5})[/tex]
[tex]P = (2,-3)[/tex]
In a lab experiment, 300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 18 hours. How many bacteria would there be after 3 hours, to the nearest whole number?
Answer:
337
Step-by-step explanation:
300(2)^(3/18)
= 300(2)^1/6
= 337.
Select all that apply
Answer:
Third option[tex]\log _{10}\left(20x^5\right)-1\\[/tex]
Step-by-step explanation:
[tex]5\log _{10}\left(x\right)+\log _{10}\left(20\right)-\log _{10}\left(10\right)\\\\\mathrm{Apply\:log\:rule}:\\\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)\\\\5\log _{10}\left(x\right)=\log _{10}\left(x^5\right)\\\\=\log _{10}\left(x^5\right)+\log _{10}\left(20\right)-\log _{10}\left(10\right)\\\\\mathrm{Apply\:log\:rule}:\\\quad \log _c\left(a\right)+\log _c\left(b\right)=\log _c\left(ab\right)\\\\\log _{10}\left(x^5\right)+\log _{10}\left(20\right)=\log _{10}\left(20x^5\right)\\\\[/tex]
[tex]=\log _{10}\left(x^5\cdot \:20\right)-\log _{10}\left(10\right)\\\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\\=\log _{10}\left(20x^5\right)-1[/tex]
I need help help me please and no links please or I will report you
Answer:
Length: 11 meters
Width: 8 meters
Step-by-step explanation:
11 + 11 + 8 + 8 = 38
8 + 8 = 16
16 - 11 = 5
How many solutions does 7 - 4x = 2 + x + 6 - 5x have?
A. One solution
B. Infinitely many solutions
C. Two solutions
D. No solutions
Answer:
D) No Solution.
Step-by-step explanation:
7-4x=2+x+6-5x
7-4x=8+x-5x
7-4x=8-4x
7-8-4x=-4x
-1-4x=-4x
-1=-4x+4x
-1=0
no solution
The graph shows the relationship between
the volume of coffee in a cup and the length
of time Cassie pours coffee into the cup.
milliliters
200
150
100
50+
(1,50)
seconds
1
2
3
What does 50 mean in this situation?
Answer: A
Step-by-step explanation:
I did it already
Answer:
A
Step-by-step explanation:
Find the perimeter of the rectangle.
Answer:
38 cm
Step-by-step explanation:
12 * 2 = 24
7 * 2 = 14
24 + 14 = 38
What is the surface area of the solid shown below?
Answer:
[tex]\text{C. }156\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The surface area of the triangular prism consists of three rectangles and two triangles.
Rectangle One - 5 x 12 = 60 cm^2
Rectangle Two - 4 x 12 = 48 cm^2
Rectangle Three - 3 x 12 = 36 cm^2
Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2
Thus, the total surface area of the solid is [tex]60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}[/tex]
Is 4 divided by 3/2 the same as 4 divided by 2/3? Explain your answer.
Which choice is equivalent to the fraction below when X is an appropriate value? Hint: Rationalize denominator and simplify
Answer:
Option A. –2 – 2√2
Step-by-step explanation:
√8 / √2 – 2
The above expression can be simplified as follow.
√8 / (√2 – 2)
Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:
√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)
√8(√2 + 2) / (√2 – 2)(√2 + 2)
√16 + 2√8 / 2 + 2√2 – 2√2 – 4
√16 + 2√8 / 2 – 4
√16 + 2√8 / –2
Recall
√16 = 4
√8 = √(4×2) = √4 × √2 = 2√2
Thus,
√16 + 2√8 / –2 = 4 + 2×2√2 / –2
= (4 + 4√2) / –2
= 4/–2 + 4√2/–2
= –2 – 2√2
Therefore,
√8 / (√2 – 2) = –2 – 2√2
Thus, option A gives the correct answer to the question.
A random sample of 300 balls hit into play in college baseball games is taken. For each ball hit into play, it is recorded whether the ball was hit to the left, center, or right of the field, and whether the ball resulted in a hit or an out. Which of the following is the appropriate null hypothesis to test if there is a relationship between the direction of the ball and if it resulted in a hit or an out?
(A) H_0H0: The proportion of balls hit to the left, right, and center is the same.
(B) H_0H0: The proportion of balls that result in hits and outs is the same.
(C) H_0H0: The distribution of the direction of the ball is the same for the population of hits and the population of outs.
(D) H_0H0: The direction of the ball and whether it results in a hit or an out are independent.
(E) H_0H0: There is an association between the direction of the ball and whether it results in a hit or an out.
Answer:
(D) H_0H0: The direction of the ball and whether it results in a hit or an out are independent.
Step-by-step explanation:
Given that
There is 300 balls random sample is taken
We need to find out the appropriate null hypothesis that lies between the ball direction and lead to a hit or an out
So
Based on the given options, the option d is correct as the ball direction and its results either be hit or on out would represent that they are independent
Therefore the option d is correct
SOMEONE PLEASE ANSWER ASAP!!!
Answer:
for band female box: 32, for band male box: 29, for chorus female box: 24, for chorus male box: 25. then you can add up for the total boxes
what’s the y intercept and slope of all the questions
Answer:
1)9/3 yint 9 2)3/1 yint 7 3)1/1 yint 5
WILL
GIVE BRAINLIST ANSWER-
The 2 figures are similar. The figure on the right is a dilation of the figure on the
left. The figures represent pastures that are being fenced to hold livestock. The
sides labeled with numerical values have already been fenced. (Round to the
nearest tenth of a yard.)
Based on previous knowledge about similar figures, how much more fencing is
needed to complete the fencing of both pastures?
Record your answer and fill in the bubbles on your answer document. Be sure to
use the correct place value.
plz help
Which items are characteristic of a credible website? Select all that apply.
The website was updated last week.
There is a c located somewhere on the web page.
The website was updated two years ago.
The website ends in gov
There is a a located somewhere on the web page.
The purpose of the web page is to sell law services.
The URL ends in com
The purpose of the web page is to educate and not make money.
Answer:
The website ends in gov, the purpose of the webpage is to educate and not make money
Step-by-step explanation:
Hi kiri ☺️
Credible websites are those which are not biased and supposed to help the people without the intention of making money.
What are the metaphors of a credible website?Website which is giving information with a listed author is one symbol of a credible site.
Thus option A,C,G will be true because they clearly shows that it is listed website with a purpose of education as well as have a proper management.
Other option are not much reliable as they shows whether the site is biased or not with proper management and ethics.
Learn more about credible websites here.
brainly.com/question/6750919
#SPJ7
Tony Soprano has a collection of five-dollar and one-dollar bilis in his shirt pocket. He has 100 bills in all worth a total of $420. Which of the following systems of equations could be used to completely determine how many of each type of bill he has?
A. x+y=100 5x + y = 420
B. 5x + y = 420 100x + 420y = 5
C. x+y=100 x+y = 420 5x + y = 100
Answer:
[tex]A) x+y=100 \\ ..\ 5x + y = 420[/tex]
Step-by-step explanation:
From the question we are told that:
Five-dollar bill x
One-dollar bill y
Total number of bills [tex]N=100[/tex]
Worth of bills [tex]w=420[/tex]
Generally the equation for Total number of bills is mathematically given by
Since it is made up of five and one dollar bills
Therefore
[tex]x+y=100[/tex]
Hence the Equation for Total worth of bills is
[tex]5x+y=420[/tex]
The System of equations used is
[tex]A) x+y=100 \\ ..\ 5x + y = 420[/tex]
In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.
Answer:
L = 10.64°
Step-by-step explanation:
From the given information:
In triangle JKL;
line k = 9.6 cm
line l = 2.7 cm; &
angle J = 43°
we are to find angle L = ???
We can use the sine rule to determine angle L:
i.e
[tex]\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}[/tex]
Using Pythagoras rule to find j
i,e
j² = k² + l²
j² = 9.6²+ 2.7²
j² = 92.16 + 7.29
j² = 99.45
[tex]j = \sqrt{99.45}[/tex]
j = 9.97
∴
[tex]\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}[/tex]
[tex]{9.97 \times Sin (L ) = (2.7 \times Sin \ 43)[/tex]
[tex]= Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ = Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 } \\ \\ = Sin \ L = 0.18466 \\ \\ L = Sin^{-1} (0.18466) \\ \\ L = 10.64 ^0[/tex]
Find the measure of 0. Round answer to the nearest tenth. Please help!
Answer:
70.8°
Step-by-step explanation:
From the triangle,
We are given the hypotenus and the angle opposite θ
Using Trigonometry:
Hypotenus and opposite are related by :
Sinθ = opposite / hypotenus
Sinθ = 17 / 18
θ = sin^-1(17/18)
θ = 70.811°
θ = 70.8°
Rocco has a garden and an oak tree. The oak tree is 11 times as old as the garden. The sum of their ages is 108 years. How old is each the garden and tree?
Answer:
GARDEN = 9 years
TREE = 99 years
Step-by-step explanation:
the following equation can be derived from the question
age of oak tree = 11x
age of garden = x
11x + x = 108
12x = 108
x = 9
oak tree = 11 x 9 = 99
how long will a sum of rs 5000 take to amount to rs 8750 at rate of 15./. per year
Answer:
sum of money(principal)=rs5000
amount=rs8750
rate=15%
to find interest use forrmula,
amount=principal+interest
rs8750=rs5000+interest
rs8750-rs5000=interest
rs3750=interest
to find time use formula,
interest=p*t*r/100
rs3750=rs5000*t*15/100
rs3750*100=rs75000*t
rs375000/rs75000=t
5=t
Step-by-step explanation:
therefore the sum of money rs5000 amount to rs8750 at the rate of 15% after 5 years
Find the missing side of the triangle. The two triangles are similar.
Answer:
84 degrees
40 + 56 = 96
180 - 96 = 84