Answer:
The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.
You start out with a penny that will double every day for 30 days. Find the average rate of change from day 7 to day 14. Remember that this function has already been shown to be f(x)=0.01(2)^x.
Answer:
$23.22 per day.
Step-by-step explanation:
For a general function f(x), the average rate of change between A and B (when B > A) is:
[tex]r = \frac{f(B) - f(A)}{B - A}[/tex]
In this case we know that the function is:
f(x) = 0.01*(2)^x
And we want to find the average rate of change from day 7 to day 14
Then if we use the above equation we get that the rate of change from day 7 to day 14 is:
[tex]r = \frac{0.01*(2)^{14} - 0.01*(2)^7}{14 - 7} = 23.22[/tex]
Because this equation is in dollars, we can conclude that the average rate of change between day 7 and day 14 is $23.22 per day.
An average rate of change between A and B (where B>A) for a generic function [tex]f(x)[/tex] is:
[tex]\to r=\frac{f(B)-f(A)}{B-A}\\\\[/tex]
In this situation, the function is:[tex]\to f(x) = 0.01\times (2)^x[/tex]
And we'd like to calculate the average rate of change from day 7 to day 14.Using the aforementioned equation, we can calculate the rate of change from day 7 to day 14 as follows:[tex]\to r=\frac{0.01\times 2^{14} -0.01 \times 2^7}{14-7}=23.22[/tex]
Since this equation is stated in dollars, we can calculate that the average rate of change between days 7 and 14 is [tex]\$23.22[/tex] each day.
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which set of ordered pairs is a function?
Answer:
I believe the third option is correct!
{(-5,1), (-3,2), (-1,3), (1,4), (3,5)}
Hope this helps!
Angle of a triangle measures 115° the other two angles are in the ratio of 4:9 what are the measures of those two angles
Answer:
20, 45
Step-by-step explanation:
A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles must add up to 65.
The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9
A ratio partition parts of something. We can add the ratio intergers to find it full length.
4+9=13.
Divide 65/13=5.
Multiply 5x4 and 5x9 serpately.
We get 20 and 45
Which number is rational?
o 22
O 16
What is the exact area of a regular hexagon with a side length of 8 cm? Enter your answer in the box. cm
Answer:
A≈166.28cm²
Step-by-step explanation:
A=[tex]\frac{3\sqrt{3} }{2} a^{2} = \frac{3 x \sqrt{3} }{2} x 8^{2} = 166.27688cm^{2}[/tex]
(+5)+(-2)+(+20)
solve
Answer:
5(x-2)^2=20
5(x^2-4)=20
5x^2-20=20
5x^2-20-20=0
5x^2-40=0
5x^2+0x-40=0
Step-by-step explanation:
hope this is helpfull
equivalent to 0.13
?
Answer:
13/100 or 13% is equivalent to 0.13
Step-by-step explanation:
hope this helps
Write the function in the form f(x) = (x − k)q(x) + r for the given value of k. F(x) = x3 − x2 − 18x + 19, k = 4 f(x) = Demonstrate that f(k) = r. F(4) =
Solution :
Given :
[tex]$f(x)=x^3-x^2-18x+19$[/tex]
By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then
[tex]$f(x)=(x-k)q(x)+r$[/tex]
Here, k = 4
Therefore, divide the f(x) with (x - 4) to find the q(x) and r.
__________________
[tex]$x-4$[/tex] | [tex]$x^3-x^2-18x+19$[/tex] | [tex]$x^2+3x-6$[/tex]
[tex]$x^3-4x^2$[/tex]
------------------------------------
[tex]$3x^2-18x$[/tex]
[tex]$3x^2-12x$[/tex]
-------------------------------------
[tex]$-6x+19$[/tex]
[tex]$-6x+24$[/tex]
-------------------------------------
[tex]$-5$[/tex]
Therefore,
q(x) = [tex]$x^2+3x-6$[/tex]
r = -5
[tex]$f(x)=(x-4)(x^2+3x-6)-5$[/tex]
[tex]$f(4)=(4-4)(4^2+3 \times 4-6)-5$[/tex]
[tex]$=-5$[/tex]
If Kyle makes a zero on his ELA finals, and it counts for .01% of his 90.8%, how much will Kyle’s grade drop?
—
please help i’m not sure how to do math like this
Answer:
9.2 %
Step-by-step explanation:
Given: 0 on finals, overall is 90.8, then 0.01%
To find: How much of Kyle’s grade dropped
Solve: First, calculate the percentage you received on the test by dividing your mark by the total marks.
Kyle scored 0 out of 100, then 0/100 = 0 percent.
Secondly, multiply your percentage score on the test by the percentage it is worth of the final grade.
0 × 90.8 = 9.2 %
9.2 % of the final grade
Help me!! no links or i REPORT, I will do brainliest if there is more than one answer and if you explain it
Answer: 1/2
Step-by-step explanation: There is only heads and tails on a coin so if you flip it you have a 50 50 chance of it landing on tails because there are only two outcomes.
Laney is making gift bags with pencils and candy bars.
The pencils come in packages of 12.
• The candy bars come in packages of 10.
• Each gift bag will have the same number of pencils.
• Each gift bag will have the same number of candy bars.
How many packages of each will Laney need to buy in order to have no candy bars or pencils left over?
O A. 12 packages of pencils, 6 packages of candy bars
OB. 5 packages of pencils, 10 packages of candy bars
O C. 6 packages of pencils, 5 packages
candy bars
O D. 5 packages of pencils, 6 packages of candy bars
Answer:
Choice D
Step-by-step explanation:
Choice A
12 x 12 = 144 pencils
6 x 10 = 60 candy bars
Choice B
5 x 12 = 60 pencils
10 x 10 = 100 candy bars
Choice C
6 x 12 = 72 pencils
5 x 10 = 50 candy bars
Choice D
5 x 12 = 60 pencils
6 x 10 = 60 candy bars
A pet store is having a pet fish sale. Mrs. Smith bought koi and paid with a $50 bill. Write an algebraic expression to represent how much change Mrs. Smith got back.
The expression that represents the change Mrs. Smith got back is 50 - x dollars.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A pet store is having a pet fish sale.
let, the cost of the Koi fish is 'x' dollars.
Therefore, With a $50 bill change(C) Mrs. Smith got back is represented by the expression,
C = (50 - x) dollars.
So, The change Mrs. Smith got back is 50 - x dollars.
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I need help on this one please
Answer:
C
Step-by-step explanation:
Please help!! Im super confused:(
Answer:
3 points
Step-by-step explanation:
3 is very different from the other numbers, so it is an outlier.
Answer:
3 points (Clearly because if you put it on a number line, this one would be far away from the other numbers)
What is the value of x in the equation 0.7x – 1.4 = –3.5?
–7
–3
3
7
Answer:
0.7x - 1.4 =-3.5
+1.4 +1.4 Step one: add 1.4 to both sides to cancel out 1.4
0.7x = -2.1
---- ----- Step two: divide both sides by 0.7
0.7 0.7
x = -3 The answer is x = -3.
Answer:
B
Step-by-step explanation:
What is the value of the negative zero of the function g(x) = 3x2 + 14x - 5?
Answer: -5
Step-by-step explanation:
The value of negative zero in g(x) = 3x² + 14x - 5 is 1.
What is Descarte's rule of signs in a polynomial?Descarte's rule for no. of at most positive real roots in a polynomial is the no. of sign changes in the polynomial.
Descarte's rule for no. of at most negative real roots in a polynomial f(x) is the number of sign changes in f(-x).
All the other left over roots are imaginary and come in conjugate pairs.
The number of negative of f is equal to the number of sign changes of successive terms of f(-x).
Given, g(x) = 3x² + 14x - 5.
Now, g(-x) = 3(-x)² + 14(-x) - 5.
g(-x) = 3x² - 14x - 5.
The signs are +, -, - so only one sign changes.
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Tavon makes another box with height h inches from a piece of cardboard that meadures 12 inches by 12 inches
Answer:
[tex]Area = 4h^2-56h +144[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required: The base area.
From the question, we have the initial dimensions to be:
[tex]Length = 12[/tex]
[tex]Width = 12[/tex]
h inch were removed from each corner to form the new base. So, the dimension of the new base is:
[tex]Base\ Length = Length - h - h[/tex]
[tex]Base\ Length = Length - 2h[/tex]
[tex]Base\ Width = Width - h-h[/tex]
[tex]Base\ Width = Width - 2h[/tex]
The area of the base is calculated by multiplying the base dimensions
[tex]Area = Base\ Length * Base\ Width[/tex]
[tex]Area = [Length - 2h] * [Width - 2h][/tex]
[tex]Area = [12 - 2h] * [12 - 2h][/tex]
Expand
[tex]Area = 12[12 - 2h] -2h [12 - 2h][/tex]
[tex]Area = 144 - 28h -28h + 4h^2[/tex]
[tex]Area = 144 -56h + 4h^2[/tex]
Rewrite as:
[tex]Area = 4h^2-56h +144[/tex]
Can some show the steps and the answer please I really need help tell me how you get it and the answer
Answer:
if you use the 10 feet ladder base is 6 feet
if you use 12 feet ladder base is 8.94 feet
if you use 15 feet ladder base is 12.69 feet
Step-by-step explanation:
you know the ladder length so you know the hypotenuse
you can use a^2 + b^2= c^2
for example you use the 10 feet ladder
8^2+b^2 = 10^2
64 + b^2 = 100
subtract 64 from both sides
b^2=36
to get rid of the exponent find square root
b= 6
you can plug in the different values like 15 or 12
What is the equation of the given line?
Answer:
y=0x+5
Step-by-step explanation:
Answer:
2,2gggffgigzrfgcf gg cyg
Find the area of a regular hexagon inscribed in a circle with a radius of 6 feet. Round to the nearest tenth.
93.5 feet^2
187 feet^2
46.8 feet^2
102.3 feet^2
Answer:
93.5ft
Step-by-step explanation:
What is ten kilograms minus thirty gram?
Answer:
10kg-30g
10×1000g - 30g
(10000 - 30) g
9970g
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2/5 of the flowers in Veronica's garden are marigolds. If there are 55 flower plants in her garden, how many marigold plants does she have?
Answer:Veronica has 22 marigold plants
Step-by-step explanation:
Total Number of flower plants in her garden=55
fraction of flower plants which are marigolds=2/5
Number of flower plants which are marigolds=2/5 x Total Number of flower plants in her garden
=2/5 x 55
=22
For the data shown in the scatter plot below, identify a point apart from the main cluster?
A (1, 4)
B (3, 5)
C (8, 7)
D(4, 7)
Answer:
C. (8, 7)Step-by-step explanation:
There are 2 points that are apart from the main cluster:
(8, 7) and (8.5, 7.5)One of them is included in the answer choices:
C. (8, 7)By visual inspection, determine the best-fitting regression model for the
scatterplot.
y
5
Pood
A. Exponential
B. Quadratic
C. No pattern
D. Linear
Answer:
The answer is Exponential
Exponential regression finds the equation of the exponential function that best fits the data points in the scatterplot.
The correct option is A.
As per the given diagram,
the scatter plot shows an exponential function.
To determine the best-fitting regression model for a scatterplot that follows an exponential function, we need to use exponential regression. Exponential regression finds the equation of the exponential function that best fits the data points in the scatterplot.
Therefore, an exponential regression model is appropriate.
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NEED HELP ASAP
Which ratios are equivalent to 4:10? Choose ALL the equivalent ratios.
Answer:
2:5 12:30(?)
Step-by-step explanation:
the first ones right I'm not sure about 12:30
Which expression is equivalent to 11(3 + 10x)?
Answer:
33+ 110x
Step-by-step explanation:
open the bracket.
hope it helps!!!
(-x+3) - (x-5) ,.................,.,.,.,.,.,.,.,.......,.,.,.,..
Answer:
-2x+8
Step-by-step explanation:
(-x+3)-(x-5)
= -x+3-x+5
= -2x+8
Ms. Smith and Mr. Roberts are running a race. Ms. Smith runs 8, 305 feet. Mr. Roberts runs 2 miles. How many feet further does Mr. Roberts run? (Reminder: 1 mile = 5,280 feet)
Answer:
Mr. Roberts runs 2,255 more feet then Ms. Smith.
Step-by-step explanation:
So I took 5,280 + 5,280 = 10,560 so now I can just take Ms. Smith's 8,305 and subtract it from 10,560 which gave me 2,255 so Mr. Roberts runs 2,255 more feet then Ms. Smith.
1/8 quarters is how many gallons
Answer:
4 quarters in a gallon
Step-by-step explanation:
Please help me, thank you!
Answer:
the slope is -1.5
Step-by-step explanation: