If f(x)=7e^x, find which is the value of f(−3) rounded to the nearest hundredth.
Answer:
[tex]f(-3)\approx0.35[/tex]
Step-by-step explanation:
[tex]f(x)=7e^x[/tex]
[tex]f(-3)=7e^{-3}\approx0.35[/tex]
determine the right and left hand behavior of the graph of the following functions.
[tex]f(x)=6-2x+4x^{2} -5x^{3}[/tex]
Answer:
x → -∞, y → ∞
x → ∞, y → -∞
Step-by-step explanation:
The function is odd degree with a negative leading coefficient. Its shape is generally down to the right (\). The end behavior will be ...
x → -∞, y → ∞
x → ∞, y → -∞
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows:
x 1 2 3 4
p(x) 0.4 0.3 0.2 0.1
The required linear equation representing the distribution is
p(x) = -0.1x + 0.5
From the table given, we can generate the equation for the distribution.
Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)
The linear expression will be in the form p(x) = mx + b
m is the rate of change:b is the interceptGete the rate of change:
m = 0.3-0.4/2-1
m = -0.1/1
m = -0.1
Get the intercept.
0.4 = -0.1(1) + b
0.4 = -0.1 + b
b = 0.4 + 0.1
b = 0.5
Hence the required linear equation representing the distribution is
p(x) = -0.1x + 0.5
Learn more on linear equation here: https://brainly.com/question/18176080
1. Write
500 + 40 + 7 +
6 x (1/10) +
8 X (1/100) +
3 x (1/1000)
in standard form.
what is 2/5=_=_ what is the 2 equivalent fractions
Answer:
4/10 and 16/40
Step-by-step explanation:
2/5 = 0.4(ZERO POINT FOUR NOT 0.04 ZERO POINT ZERO FOUR)
(numerator =2 x 2=4 ,denominator= 5 x 2= 10) this is how i got 4/10 (choose any number between 10 and 2 and multiply it by the denominator and numerator)
As well as 4/10 = 0.4
Also 16/40= 0.4
(Using our original fraction 2/5 we can multiply both the numerator and denominator by 8; numerator= 2 x 8 = 16 and denominator= 5 x 8 = 40
Since 4/10 and 16/40 are both equivalent to 0.4, they are equivalent fractions
(TO FIND THE DECIMAL OF THAT FRACTION DIVIDE THE NUMERATOR BY DENOMINATOR)
hope this helps, ;]
To increase the volume of a sphere, you
must in crease the radius
decrease the radius
None of the answer choices is correct
decrease the circumference
The volume of a sphere is directly proportional to the radius cube thus with an increase in the radius it will increase so option (A) is correct.
What is the sphere?A sphere is a 3D geometrical object which has a radius and becomes a point that revolves around a fixed point called the center.
For example, if you have a sphere of radius r then its surface area will be 4πr² and
The volume of a sphere with radius r is given as (4/3)πr³.
V ∝ r³
By increasing the radius r the volume V will rapidly increase.
Hence "Because the volume of a sphere is precisely proportional to the cube of its radius, it will grow as the radius grows".
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a
1. Baby Amelia's parents measure her height every
month. She was born 46 cm long and grows on
average 2.5 cm per month. Write a linear equation to
find Baby Amelia's height, y, after x number of
months. (3 pts)
Slope:
y-intercept:
(1 pt)
Equation:
(1 pt)
After how many months will Amelia be 66 cm? Show
your work:
After
months. (1 pt)
Answer: equation: y = 2.5x + 46
slope: 2.5
y intercept: 46
she will be 8 months old by the time she is 66 cm
Step-by-step explanation: the eqation is written in y= mx+b format, where m is the slope and b is the y intercept. You can solve the last part of the problem by using this equation and subbing 66 in for y.
y = 2.5x + 46
66 = 2.5x + 46
20 = 2.5x
8 = x
If 90° < θ < 180° and cscθ = 3, then cotθ = _____.
[tex]\text{Given that,}\\\\\csc \theta = 3\\\\\implies \csc^2 \theta = 9\\\\\implies 1+ \cot^2 \theta = 9\\\\\implies \cot^2 \theta = 8\\\\\implies \cot \theta = \pm \sqrt 8 = \pm 2\sqrt 2\\\\\text{Since,}~90^{\circ}< \theta < 180^{\circ},\\\\\cot \theta = -2\sqrt 2[/tex]
What is 12,925 to the nearest ten thousand
Answer:
To round to the nearest 10,000, you look at the number immediately to the right. If this number is 5 or above, you add 1 to the column in question and zero all numbers to the right. If the number immediately to the right is 4 or less, you just zero all numbers to the right.
In this case, the 10,000 column is the column with the 1. The number immediately to the right is 2. This is 4 or less, so we set all numbers to the right of the 10,000 column to zero.
I get 10,000
Step-by-step explanation:
❤️‼️‼️‼️‼️‼️‼️‼️❌❌❣️❣️❣️❣️❣️❣️
Answer: a
Step-by-step explanation:
Answer:
it's A
Step-by-step explanation:
he Nassau Bahamas Community College (NBC) claims that students who take statistics spend on average 19 hours a week working. The population standard deviation is not known. Statistics students in MAT 102 believe students work more than 19 hours because they want to make more money.
Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.
At the null hypothesis, it is tested if they spend on average 19 hours a week working, that is:
[tex]H_0: \mu = 19[/tex]
At the alternative hypothesis, it is tested if they spend more than 19 hours a week working, that is:
[tex]H_1: \mu > 19[/tex]
We have the standard deviation for the sample, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.Searching the problem on the internet, it is found that the values of the parameters are:
[tex]\overline{x} = 24.2, \mu = 19, s = 12.59, n = 25[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{24.2 - 19}{\frac{12.59}{\sqrt{25}}}[/tex]
[tex]t = 2.07[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 25 - 1 = 24 df is of [tex]t^{\ast} = 1.71[/tex]
Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.
To learn more about the t-distribution, you can take a look at https://brainly.com/question/13873630
PLS HELP ITS A MAJOR GRADE AND DUE TOMORROW
A rental car company charges $55 plus $0.50 per mile to rent a car. Mt. Judd does not want to spend more than
%150 for his rental car. Write and solve an inequality to find how many miles he can drive and not spend more
than $150. Interpret/explain the solution.
Incorrect work/Solution
Identify and Explain Error
m = miles
0.5m < 150
0.5 0.5
m< 30
Mr. Judd can drive at least 50 miles.
Correct Work/ Solution
Share Strategy
Answer:
*See below*
Step-by-step explanation:
Identify and Explain Error
The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.
Correct Work/Solution
$55 to rent
$0.50 per mile
Let's start by removing $55 from $150 to see how many dollars is left over for gas.
150 - 55 = 95
Then, divide 95 by 0.5
95 ÷ 0.5 = 190
He can drive at least 190 miles.
Share Strategy
Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.
Note:
Hope this helps :)
Have a great day!
Using the number lines shown, what is the equivalent fraction to 3/3
Answer:
3/3 is a whole so I believe it would be the whole number line
Select the equation of the quadratic function that models the relationship between time and height for an object thrown into the air, as presented in the parabola above.
Question 5 options:
A) ƒ(x) = –(x + 2)2 + 7
B) ƒ(x) = –(x – 2)2 + 7
C) ƒ(x) = (x – 2)2 + 7
D) ƒ(x) = (x + 2)2 + 7
Answer:
B
Step-by-step explanation:
lmk if you want an explanation
Which of the following sets of ordered pairs represents a function?
A (510), (0.15). (
510)
(3.5) (3,9). (4.2)
22302 79717263393-
D
(0.6) (12.10). (O.-6)
Answer: your answer is A) & D)
Step-by-step explanation: Hope this helps :)
Answer:
A) (-5,10), (0,15), (5,10)
Step-by-step explanation:
In order for an ordered pair to be a function, no pair of coordinates can have the same x variable.
Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =
Plz help me I need the answer
Step-by-step explanation:
what is the problem ?
as indicated you only need to use the corresponding value as "x" in the formula and then just calculate the result.
g(-1) = 3 - 1/3 × -1 = 3 + 1/3 = 3 1/3 or 10/3 or 3.333...
g(0) = 3 - 1/3 × 0 = 3
g(4) = 3 - 1/3 × 4 = 3 - 4/3 = 9/3 - 4/3 = 5/3 or 1 2/3 or 1.66666...
Answer:
g(-1) = 3/2
g(0) = 3
g(4) = 1
Sheila is making accessories for the soccer team. She uses 883.14 inches of fabric on headbands for 38 players and 3 coaches. She also uses 324.52 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
29.455
Step-by-step explanation:
add the inches of fabric together and divide by the total number of players and coaches
The standard error of is the _____. Group of answer choices variance of variance of the sampling distribution of standard deviation of the sampling distribution of difference between the two means
Answer:
standard deviation of the sample distribution of the difference between these two sample means
Step-by-step explanation:
A tree that stands 75 feet tall, casts a
shadow of 30 feet at 11:00 am. What is
the ratio of the length of the shadow to the
height of the tree?
Answer:
30 to 75, 30/75, 30:75
Step-by-step explanation:
This shape is broken up into rectangles. What is the area of the
entire shape?
Answer:
38inch2
Step-by-step explanation:
3inch*2inch+8inch*4inch
=6inch2+32inch2
=38inch2
Which represents the RANGE of the following relation? {(-6, 5), (-4, 3), (-1, 0), (4, 3)}
Answer:
5, 3, 0, 3 are all the ranges! Hope this helps
Step-by-step explanation:
Ranges are on the right, domains are on the left
What is the answer to this 1/3(n+1)=1/6(3n-5)
Answer:
n=7
distribute 1/3 by 1/3 and 1 then distribute 1/6 to 3n and 5 combine like terms for both sides simplifying to -n=(-7) divide - by n and -7 getting you n=7.
find measure of angle A
2+2 (I have been struggling on this for a long time)
find the missing side of each triangle
Answer:
where is the triangle
Step-by-step explanation:
I don't no where is the triangle
Which choices are equivalent to the expression below? Check all that apply.
5/3
I A. 75
]
B. v3.15
I C. 75
O D. 125. 3
IE. 45
0 F 15.15
Answer:
ADF
Step-by-step explanation:
A.root 75=root25 xroot3=5root3
B.=root15
C=75
D=5root3
E:=root9xroot5=3root5
F=root5xroot5xroot3=5root3
The solution is Option A , Option D , Option F
The values of the equations are √75 , √25 x √3 and √15 x √5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 5√3 be equation (1)
On simplifying the equation , we get
The value of A = √ ( 5 )² ( 3 )
The value of A = √25 x √3
The value of A = √75
The value of A = √15 x √5
Hence , the values of the equations are √75 , √25 x √3 and √15 x √5
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Joel wants to buy a new tablet computer from a store having a 20% off sale on all tablets. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax. How much will Joel pay for the tablet?
Answer:
161.5 $
Step-by-step explanation:
the cost of table after the discount = 100% - 20% = 80%
the cost of table after the discount = Original cost × 80%
=(190)(0.8)
=152 $
the cost of table after the discount plus the tax = (the cost of table after the discount) + (Original cost × 5%)
=152+(190)(0.05)
=152+9.5
=161.5 $
So... The total amount will Joel pay for the tablet = 161.5 $
Can someone help me I will mark u brilliant
Answer: its 45% for sure
Answer:
i believe 45%
Step-by-step explanation:
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.
The cost of cupcakes is $1.25 and cookies costs $0.90.
Two equations that would be used to determine the required values can be derived from this question:
20x + 40y = 61 equation 1
30x + 30y = 64.50 equation 2
In order to determine the value of y, the following steps would be taken: Multiply equation 1 by 3 and equation 2 by 2.
60x + 120y = 183 equation 3
60x + 60y = 129 equation 4
Subtract equation 4 from 3
60y = 54
Divide both sides of the equation by 60
y = $0.90
Substitute for y in equation 1
20x + 40(0.9) = 61
20x + 36 = 61
20x = 61 - 36
20x = 25
x = 25 / 20
x = $1.25
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Eva and Jamir like to bake cookies. Eva baked 24 chocolate chip cookies, and Jamir baked ppp peanut butter cookies. Together they baked a total of 56 cookies.