Answer:
360 minutes or In 6 hours.
Step-by-step explanation:
Identify the key features of these functions:
f(x) = 3(x + 5)2 − 10
g(x) = 200(0.95)x
h(x) = -0.25(x + 3)(x − 1)
The vertex of f(x) is at
. The function g(x) is decreasing at a rate of
%. The zeros of h(x) are at
and
.
Answer:
The vertex of f(x) is at (-5,-10).
The function g(x) is decreasing at a rate of 5%.
The zeros of h(x) are at x = -3 and x = 1.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]
Decaying exponential function:
A decaying exponential function has the following format:
[tex]A(x) = A(0)(1-r)^{x}[/tex]
In which A(0) is the initial quantity and r is the decay rate.
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Vertex of f:
The function f is given by:
[tex]3(x+5)^2 - 10[/tex]
Expanding the calculations to place at the correct format:
[tex]3(x+5)^2 - 10 = 3(x^2 + 10x + 25) - 10 = 3x^2 + 30x + 75 - 10 = 3x^2 + 30x + 65[/tex]
Which means that
[tex]a = 3, b = 30, c = 65[/tex]
The x-value of the vertex is:
[tex]x_{v} = -\frac{30}{2*3} = -5[/tex]
The y-value of the vertex is:
[tex]f(-5) = 3(-5+5)^2 - 10 = -10[/tex]
The vertex of f(x) is at (-5,-10).
Decreasing rate of g(x).
We have that:
1 - r = 0.95
So
r = 1 - 0.95 = 0.05
Which means that the decreasing rate is of 5%.
The zeros of h(x) are
The zeros are
x + 3 = 0 -> x = -3
x - 1 = 0 -> x = 1
So
The zeros of h(x) are at x = -3 and x = 1.
What are the values of b and c?
Answer:
c = 40 degrees ; b = 100 degrees
Step-by-step explanation:
Since this is a isosceles triangle, sides WV and WU are the same length.
c = 40 degrees
There are 180 degrees in a triangle.
180 - 40 - 40 = 100
b = 100 degrees
I hope this helps!
People drive, on average, 14,063 miles per year. About how many miles each week is that?
Answer:
About 270.44 miles
Step-by-step explanation:
There is about 52 weeks in a year. 14,063 divided by 52 is 270.44\
DONT TRUST ME ON THIS
Answer:
270 miles a week
Step-by-step explanation:
there are 52 weeks in a year
so you divide 15,063 by 52
that would equal 270
An employee at a shoe store has observed that taller customers have larger shoe sizes than customers who are shorter. She knows that shoe sizes are based on foot length, so she hypothesizes: Compared with shorter people, taller people have longer feet. Look for patterns in the data. Describe any patterns you find.
Answer:
hello some information related to your question is missing
answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .
Step-by-step explanation:
From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .
These are the new questions, there are 2 here. 2 images, 2 different questions
Answer:
1) 12.62) 18Step-by-step explanation:
Use ratios and solve for x
Q1
27/24 = (3x - 21)/(x + 13)9/8 = 3(x - 3)/(x + 13)3/8 = (x - 3)/(x + 13)8(x - 3) = 3(x + 13)8x - 24 = 3x + 398x - 3x = 39 + 245x = 63x = 63/5x = 12.6Q2
9/14 = (x + 8)/(3x - 2)9(3x - 2) = 14(x + 8)27x - 18 = 14x + 11227x - 14x = 112 + 1813x = 130x = 10EF = x + 8 = 10 + 8 = 18
Sally collects stamps. Of all her stamps,
45% are from the United States. She has
90 stamps from the United States. How
many total stamps does she have?
Answer:
200 stamps
Step-by-step explanation:
Divide the 90 stamps by 45: The result is 2; it's equal to 1% of the total number of stamps. You then multiply it by 100 to get the full amount, which is 200 stamps.
Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation y= 0.3x + 1; A(...;9), B(5;...) The slope is
Answer:
[tex]A = (\frac{80}{3},9)[/tex]
[tex]B = (5,2.5)[/tex]
The slope is 0.3
Step-by-step explanation:
Given
[tex]y = 0.3x + 1[/tex]
[tex]A = (-,9)[/tex]
[tex]B = (5,-)[/tex]
Required:
Fill in the gap and calculate the slope
In [tex]A = (-,9)[/tex]
[tex]y = 9[/tex] and x is ??
Substitute 9 for y in [tex]y = 0.3x + 1[/tex]
[tex]9 = 0.3x + 1[/tex]
Collect Like Terms
[tex]0.3x = 9 - 1[/tex]
[tex]0.3x = 8[/tex]
[tex]x = \frac{8}{0.3}[/tex]
[tex]x = \frac{80}{3}[/tex]
So:
[tex]A = (-,9)[/tex]
[tex]A = (\frac{80}{3},9)[/tex]
In [tex]B = (5,-)[/tex]
[tex]x = 5[/tex] and y is ??
Substitute 5 for x in [tex]y = 0.3x + 1[/tex]
[tex]y = 0.3 * 5 + 1[/tex]
[tex]y = 1.5 + 1[/tex]
[tex]y = 2.5[/tex]
So:
[tex]B = (5,-)[/tex]
[tex]B = (5,2.5)[/tex]
Calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2.5-9}{5 - \frac{80}{3}}[/tex]
[tex]m = \frac{-6.5}{\frac{15- 80}{3}}[/tex]
[tex]m = \frac{-6.5}{\frac{-65}{3}}[/tex]
[tex]m = \frac{-6.5*3}{-65}[/tex]
[tex]m = \frac{-19.5}{-65}[/tex]
[tex]m = 0.3[/tex]
pls help my brainly buddies
Answer:
≈ 41.2°Step-by-step explanation:
Given ΔABD with:
AC⊥BDBC = 6 cmBD = 22 cmArea(ABC) = 42 cm²Find ∠D = xConsider ΔABC
Area = 1/2BC*AC42 = 1/2*6*ACAC = 42/3 = 14Consider ΔACD
CD = BD - BC = 22 - 6 = 16 cmAC = 14 cmtan x = AC/CDtan x = 14/16 = 0.875x = arctan 0.875x ≈ 41.2°Answer:
≈ 41.2°
Step-by-step explanation:
mayra has $2.95 in nickels and dimes. the number of dimes is 3 less than twice the number of nickels. find the number of nickels.
Answer:
Mayra has 13 nickels
Step-by-step explanation:
Given
Represent dimes with D and nickels with N.
So, from the first statement:
[tex]0.10D + 0.05N = 2.95[/tex]
From the second statement:
[tex]D = 2N - 3[/tex]
Required
Find N
Substitute 2N - 3 for D in [tex]0.10D + 0.05N = 2.95[/tex]
[tex]0.10(2N - 3) + 0.05N = 2.95[/tex]
Open bracket
[tex]0.10*2N - 0.10*3 + 0.05N = 2.95[/tex]
[tex]0.20N - 0.30 + 0.05N = 2.95[/tex]
Collect Like Terms
[tex]0.20N + 0.05N = 2.95+0.30[/tex]
[tex]0.25N = 3.25[/tex]
Make N the subject:
[tex]N = \frac{3.25}{0.25}[/tex]
[tex]N = 13[/tex]
The price of a food it should be four times the price of the ingredients used in making the item. If the cost of ingredients used in making a taco is 1.5 dollars, what should be the pricw of the taco?
Answer:
6 dollars
Step-by-step explanation:
If the price of a food is four times the price of the cost of the ingredients, then if the taco's ingredients cost 1.5 dollars, all we have to do is multiply 1.5 by 4, to get the answer, 6 dollars.
Sally bought 10 pencils for
$1.50, how much is it per pencil? Don't forget $ in
the front.
Answer:
$0.15 per pencil
Step-by-step explanation:
1. Divide
1.50 divided by 10 = 0.15
2.Answer
$0.15 per pencil
Several shots were fired during a concert downtown. The performing musician received minor injuries, and no one else was injured. The musician is now suing the city for not providing proper security for the event. The musician has had financial trouble after leaving a successful boyband, and there are rumors that the musician organized the shooting so he could collect money from the lawsuit. A tree near the stage was found with several bullet holes, and it was determined the shots could not have come from the crowd. The musician owns the penthouse in the apartment building in front of the concert venue, so forensic analysts want to determine if the shots could have come from there. The penthouse is on the sixth floor, which is 85 feet from the ground . The building is 60 feet from the tree. Using the measurements from the crime scene, show your math to determine if the shooter came from the penthouse.
Answer:
The answer is 365.76 m/s
Step-by-step explanation:
Question 8 Samples of rejuvenated mitochondria are mutated (defective) in 2% of cases. Suppose 17 samples are studied, and they can be considered to be independent for mutation. Determine the following probabilities. (a) No samples are mutated. (b) At most one sample is mutated. (c) More than half the samples are mutated. Round your answers to two decimal places (e.g. 98.76). (a) The probability is (b) The probability is (c) The probability is
Answer:
Step-by-step explanation:
What's the radius of a circle with area 9π units2?
Question options:
A)
81 units
B)
18 units
C) CORRECT ANSWER
3 units
D)
9 units
Answer:
option C : 3 units
Step-by-step explanation:
radius of circle is 3 units
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
One gallon is approximately 3.79 liters. Write a direct variation equation that relates 2 gallons to y liters.
370
Answer:
2 gallons x 3.79 = 7.58 liters
Step-by-step explanation:
1 gallon = 3.79 liters
so
2 gallons x 3.79 liters = 7.58 liters
2 x 3.79 = y liters
GIVING BRAINLIEST TOO BEST ANSWERED
Solve for p.
−4.5 + p/6 = −18.9
A
p=−117.9
B
p = −108.9
C
p = −86.4
D
p = 140.4
Answer:
c p = -86.4
aww man I got to explain too I used this app called math - way they will explain it
Suppose that 3\%3%3, percent of over 200{,}000200,000200, comma, 000 books borrowed from a library in a year are downloaded. The librarians plan to take an SRS of 757575 books from the population of borrowed books to see what proportion of books sampled are downloaded. What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books
Answer:
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
3% of books borrowed from a library in a year are downloaded.
This means that [tex]p = 0.03[/tex]
SRS of 75 books.
This means that [tex]n = 75[/tex]
What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books
By the Central Limit Theorem
Mean: [tex]\mu = p = 0.03[/tex]
Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.03*0.97}{75}} = 0.0197[/tex]
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
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Lesson 73 - Measuring Volume (C)
QUR
Measuring Volume
E Menu
What is the volume of this rectangular prism?
Enter your answer in the box
in
=lin
2
3
4
5
6
DE 4 ENG
2:06 PM
2/10/2021
PLEASE HELP IMMEDIATELY!!!
find the sum of 9/10 and 5/6 write an equation?
Answer: 1 11/15
Step-by-step explanation:
9/10 + 5/6
=
9 × 3
+--------
10 × 3
5 × 5
-------
6 × 5
=
27/30 + 25/30
=
27 + 25
-----------
30
=
52/30
=
52 ÷ 2
----------
30 ÷ 2
=
26/15
=
1 11/15
Answer:
Step-by-step explanation:
9/10 + 5/6 = 16/20
Select all the expressions that represent the area of the large, outer rectangle in figure A.
Please help quickly.
Answer:
Below three are the options
Step-by-step explanation:
6(3+2)
6*5
6.3+6.2
Answer:
6(3 + 2), 6 * 5, and 6 * 3 + 6 * 2 are all expressions that represent the area of the large outer rectangle in figure A.
Find the missing length indicated. Leave your answer in simplest radical form.
Answer:
18[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The hypotenuse of the 45-45-90 triangle is [tex]\sqrt{2}(9\sqrt{2} ) = 18[/tex]
The hypotenuse of the 45-45-90 triangle is also the shorter leg of the
30-60-90 triangle
The longer leg = x = shorter leg times [tex]\sqrt{3\\}[/tex] = 18[tex]\sqrt{3\\}[/tex]
PLEASE PLEASE HELP!!! Match each pair of matrices with its product matrix.
Answer:
Step-by-step explanation:
Did the calculations myself, probably too late for these to be of any use but I'll leaave them here anyways for anyone else that needs it in the future. Love yall!
A chain of sports shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on her initial purchase and supplies. Based on these figures, to explore the possibility of offering combinations, such as a pair ofboots pair skis, induce customers to buy more. As of cash register receipts revealed these initial purchases:$85 $139 $161 $175 $85 $133 $149 $145 $136 131 290235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139(a) Find the smallest class interval, use five classes.(b) What would be a better class interval?
Answer:
47.4 ;
50
Step-by-step explanation:
Given the data :
X ($) : 85 139 161 175 85 133 149 145 136 131 290 235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139
The smallest class interval :
Range / number of classes
Number of classes to use = 5
Range = Maximum - Minimum = (322 - 85) =237
Hence, smallest class interval :
237 / 5 = 47.4
A better class interval would be, one without decimal, rounded to the nearest 10; this will be easier and make more statistical sense
Hence, smallest class interval rounded to the nearest 10 :
47.4 = 50 (nearest 10)
Find the missing side of the triangle, leave answer in simplest radical form.
Answer:
x = [tex]\sqrt{15^{2}-13^{2}[/tex]Step-by-step explanation:
how much would 11 trillion divided equally amongst 300 million people be? Time sensitive question
Answer:
36666.6666667
Step-by-step explanation:
Cant really be equal
help me please. Can somebody help.
Answer:
2.25Step-by-step explanation:
In order to find area, you just multiply height by width. A circle is even on all sides, so you do 1.5 times 1.5.
Find the product.
120 ×(0.002). It is 6th grade work don’t worry about where it says college
Answer:
0.24
Step-by-step explanation:
120 x 0.002 = 0.24
The correct answer is 0.24.
To find the product of 120 ×(0.002).
The zeroes are multiplied by the power of 10 which is 1/10 in particular.
For example.
The product of a whole number and a decimal number less than 1 will be greater than the whole number multiplied into. For this theorem to be proven. Let us state the mathematical expression into numbers such that
1. N x 0.1 = N/0.1 < N
2. 1 x 0.5 = 0.5
3. 2 x 0.1 = 0.2
4. 100 x 0.55 = 55
120 ×(0.002) = 0.24.
Therefore, the 120 × 0.002 = 0.24
Learn more about Multiplication here:
https://brainly.com/question/643060
#SPJ6
6y+8x-3x
I need help this is for homework
Answer:
6y + 5x
Step-by-step explanation:
6y + 8x - 3x
Combine like terms (put all the "x"'s with the"x"'s and "y"'s with the "y"'s together)
8x - 3x = 5x
6y + 5x
And you cannot simplify it anymore, since they are not like terms
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Each but is 21/100 meters long. Write the fraction as a decimal then calculate how long all eight books are all together
Answer:
1.68 Meters
Step-by-step explanation:
Hello I think I can help with this.
Well basically the way it is represented as a fraction is a portion of a whole like a percent :
For example : 21%
So basically we just need to turn this into a decimal and then add to find how long the books would be together.
How I would go about doing this is first looking at the 21/100 and remember that in decimals 1.00 is a whole just like the 100. So in this case the 100 in 21/100 would be 1.00.
So knowing this, we can take the 21 in 21/100 and say that 0.21/1.00 is equal to 21/100 because the 21 is representing how much of a meter the books are while 100 is the whole meter.
Now, we know we have eight books and each are .21 long. So we can do :
.21 x 8
=
1.68
While this is the answer we can write it in two ways. Either in fraction form like it started or in decimal form which I think is how they want you to write the answer.
For fraction :
168/100 Meters
We can simplify this :
1 68/100 Meters
EDIT :
We can simplify this even more :
Lets divide both sides by 2 :
34/50
AND we can do it again :
So divide by 2 on both sides :
17/25
And don't forget to add the 1 back into it :
1 17/25
And for the decimal form it is just what we found already :
1.68 Meters
I hope this helps!
If you have any questions or concerns feel free to comment or message me. :)
