Hey there!
Answer: 25% of participants are females
Add both M and F = 200
50 + 50 + 50 + 50 = 200
=> 50 + 150 = 200
each 50 is 25% of 200
Therefore, the percentage of females in the race is 25%
Answer:
50+150=200
female=50
50÷200×100=25%
percentage of female=25%
If logx y = 2, which of the following is true.
• y = x^2
• y = 2x
• x = y^2
• x = 2y
Answer:
y=x^2
Step-by-step explanation:
The true equation about the logarithmic equation [tex]\log_xy = 2[/tex] is [tex]y = x^2\\[/tex]
How to determine the true statement?The logarithmic equation is given as:
[tex]\log_xy = 2[/tex]
Apply the change of form logarithm rule.
This rule would convert the logarithmic equation to an exponential equation.
So, we have:
[tex]y = x^2\\[/tex]
Hence, the true equation about [tex]\log_xy = 2[/tex] is [tex]y = x^2\\[/tex]
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$1900 at 5.9% interest for 18 months. What would the interest be?
Solution:
To solve this problem, we will use PRT/100.
Where:
P = principle = $1900 (As stated)R = rate = 5.9% (As stated)T = time = 18 months (As stated)1. Converting the number of months into years.
[tex]\bullet \ \ 1 \ \text{year} = 12 \ \text{months}[/tex]
[tex]\bullet \ \ \rightarrow \text{x years = 12x months = 18 months}[/tex]
[tex]\bullet \ \ \rightarrow \frac{12x}{12} = \frac{18}{12}[/tex]
[tex]\bullet \ \ \rightarrow x = 1.5 \ \text{years}[/tex]
2. Using PRT/100:
[tex]\bullet \ \ \rightarrow \dfrac{P \times R \times T}{100}[/tex]
[tex]\bullet \ \ \rightarrow \dfrac{1900 \times 5.9 \times 1.5}{100}[/tex]
[tex]\bullet \ \ \rightarrow19 \times 5.9 \times 1.5}[/tex]
[tex]\bullet \ \ \rightarrow \boxed{\$168.15}[/tex]
Thus, the interest will be [tex]\bold{\$168.15}[/tex].
There are about 795 houses in this region. The average family size is 6 people. There are about __________ people living in the region.
Answer:
about 4770 people
Step-by-step explanation:
The tuition cost for part-time students taking C credits at Stonewall College is given by 300+300C dollars.
A-Find the tuition cost for 13 credits. Do not use dollar signs or commas in your answer.
B-If the tuition cost is $3300, how many credits are taken?
Answer:
[tex]part \: a. \\ t = 300+300(13) = 300+300C = \\300 + 3,900 = 4,200 \\ t = 4,200[/tex]
[tex]part \: b. \\ 3300 = 300+300(c) \\ 3300 - 300 =300(c) \\ 3000 \div 300 = c = 10 \\ c = 10[/tex]
a.
The tuition cost for 13 credits is
= 300 + 300C
= 300 + 300 (13)
= 300 + 3900
= 4,200 dollars.
b.
And, the number of credits is
$3,300 = 300 + 300C
$3,300 - 300 = 300C
$3,000 = 300C
C = 10 credits
Therefore we can conclude that
The tuition cost for 13 credits is $4,200.And, the number of credits that are taken is 10.Learn more about the credit here: brainly.com/question/1475993
theee are 372 pieces of candy in the bag Lucy needs to divide the candy up into smaller bags. she wants to put the same number of pieces in each small bag. how many small bags could lucy use? what is the number sentence?
Answer:
The number of small bags that Lucy can use with having an even amount of can't in them is hundred and eighty six bags were each bag has two pieces of candy.
Step-by-step explanation:
372 ÷ 2 = 186
Therefore
372 ÷ 186 = 2
two candies in each bag means 186 bags of candy.
Elsa earns $140 for working 20 hours, what is else's rate of pay each hour? how much would she get if she worked 35 hours for the same rate of pay?
Answer:
$245
Step-by-step explanation:
The hourly pay that Elsa earns is 140/20 = $7 per hour
So, the total pay that Elsa will earn for 35 hours is 7*35 = $245
Let V be the volume of a right circular cone of height h=14 whose base is a circle of radius R=2. An illustration a right circular cone with horizontal cross sections. The right circular cone has a line segment from the center of the base to a point on the circle of the base is labeled capital R, and the horizontal line from the vertex is labeled h.
Required:
Use similar triangles to find the area of a horizontal cross section at a height y.
Answer:
The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]
Step-by-step explanation:
Given that,
Height = 14 m
Radius = 2 m
Let V be the volume of a right circular cone
We need to calculate the value of R
Using given data
[tex]\dfrac{h}{r}=\dfrac{h-y}{R}[/tex]
Put the value into the formula
[tex]\dfrac{14}{2}=\dfrac{14-y}{R}[/tex]
[tex]7R=14-y[/tex]
[tex]R=2-\dfrac{y}{7}[/tex]
We need to calculate the area of a horizontal cross section at a height y
Using formula of area
[tex]A=\pi R^2[/tex]
Put the value into the formula
[tex]A=\pi\times(2-\dfrac{y}{7})^2[/tex]
Hence, The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]
The area of the circular cone at height y can be derived as a function, A,
having y as the input variable.
Correct response:
[tex]Area \ of \ horizontal \ cross \ section \ at \ height \ y \ is \ \underline{ A = \pi \times \dfrac{\left(14 - y\right)^2}{7} }[/tex]
Method used for deriving the areaThe given parameters are;
Shape of figure = Right circular cone
Height of the cone, h = 14
Base radius, R = 2
Required:
The area of a cross section at a height y using similar triangles
Solution:
We have using similar triangles;
[tex]\mathbf{\dfrac{h}{h - y} }= \dfrac{R}{r} [/tex]
Which gives;
[tex]\mathbf{\dfrac{14}{14 - y}} = \dfrac{2}{r} [/tex]
Therefore;
2·(14 - y) = 14·r
28 - 2·y = 14·r
[tex]r = \dfrac{28 - 2 \cdot y}{14} = 2 - \dfrac{y}{7} [/tex]
The horizontal cross sectional area, A = π × r²
Therefore;
[tex]Area \ of \ the \ cross \ sectional \ area,\ A = \pi \times \left(2 - \dfrac{y}{7} \right) = \underline{ \pi \times \dfrac{\left(14 - y \right)^2}{7} }[/tex]
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Solve for x
X+5>4
Enter your answer as an inequality. In the box
x > - 1
x ∈ ( - 1 ; + oo)
Step-by-step explanation:Hi there !
x + 5 > 4
x > 4 - 5
x > - 1
x ∈ ( - 1 ; + oo)
Good luck !
The distance between
-2 and 4
5 and -3
8 and -12
-9 and 17
Answer:
1. 6
2. -8
3. -4
4. 26
Step-by-step explanation:
yk how it's done
Rewrite 4/5 and 7/9 so they have a common denominator
Answer:
36/45 and 35/45
Step-by-step explanation:
5 and 9's least common denominator is 45 and to get to that you need to multiply both top and bottom of how to get to 45. How I got to 45 the easiest way is to keep multiplying both numbers until the reach the same product. In this case for 4/5, you multiply it by 9 for top and bottom. And for 7/9, it would be multiplying by 5 for top and bottom which will get you both of the answers. Hopefully this answers your question.
Given the following functions, find the indicated values.
f(x) = 6 - 2x
(a) f(-3)
(b) f(0)
(c) f(4)
(a) f(-3)=blank
plz help
Answer:
f(-3)=6-2x is f(-3)=6-2(-3) this equals f(-3)=12
B f(0)=6
C f(4)= -2
Step-by-step explanation:
Bacisly you would just have to sub in the x portion of your problem. Then you can solve like normal
A function is a relationship between inputs where each input is related to exactly one output.
The value of f(-3) is 12
The value of f(0) is 6
The value of f(4) is -2
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 6 - 2x
Substitute x = -3, 0, and 4 on f(x).
f(-3) = 6 - 2 x (-3) = 6 + 6 = 12
f(0) = 6 - 2 x 0 = 6 - 0 = 6
f(4) = 6 - 2 x 4 = 6 - 8 = -2
The inputs are -3, 0, and 4.
The outputs are 12, 6, and -2.
Thus,
The value of f(-3) is 12
The value of f(0) is 6
The value of f(4) is -2
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5. (07.09) Given the functions f(x) = 7x+13 and g(x)=x+2. which of the following functions represents f(g(x)] correctly? (2 points) f(g(x)] = 7K+ 15 O f(g(x)] = 7x+27 f[g(x)] = 75 + 15 Of(g(x)] = 7x + 27
Answer:
f(g(x)) = 7x + 27
Step-by-step explanation:
We have, f(x) = 7x+13 and g(x) = x+2.
So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,
i.e. f(g(x)) = f(x+2)
i.e. f(g(x)) = 7 × (x+2) + 13
i.e. f(g(x)) = 7x + 14 + 13
i.e. f(g(x)) = 7x + 27
Thus, f(g(x)) = 7x + 27
whats the red angle?
i cant seem to understand anything
Answer:
65°
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
⇒ m∠EAB = 180 - 90 - 70 = 20°
⇒ m∠DAG = 90 - 45 - 20 = 25°
⇒ m∠AGD = 180 - 90 - 25 = 65°
ΔADG ≅ ΔAFG
⇒ m∠AGD = m∠AGF = 65°
ΔABE ≅ ΔAFE
⇒ m∠AEB = m∠AEF = 70°
The wholesale price for a shirt is $6.50. A certain department store marks up the wholesale price by 70%. Find the price
Round your answer to the nearest cent, as necessary.
Х
6
?
Explanation
Check
Answer:
11.05$
Step-by-step explanation:
Given the wholesale price of pillow is $6.50
Price in department store is 70% more than whole sale =1.7 times the wholesale
Price in department store =1.7*6.5=$11.05
Given that n is a positive number, write, in a symbolic statement, ‘the square of a positive number decreased by 10 is 6’
Answer:
(4^2) -10
16- 10
= 6
Step-by-step explanation:
the square of 4 is 16 so you'll subtract 10 from it and it will be left with 6
Cuanto es 2/3 x 3/5 lo necesito por favor ;-;
Answer:
.4 o 2/5
Step-by-step explanation:
2/3 x 3/5= 6/15
6 /3
--- = 2/5
15 /3
Answer:
2/3 * 3/5 = 6/15 = 0.4
Step-by-step explanation:
Find the percent of increase from 55 people to 70 people. Round to the nearest tenth of a percent if necessary.
Answer:
55
Step-by-step explanation:
how many apples would you have if you buy 256-123x234/78
Answer:
135 because if you put it in a caluclator that is what you get
Please answer this correctly without making mistakes
Answer: 33.6
60 x 56 divided by 100 is 33.6
Dorothy purchased a used vehicle that depreciates under a straight line
method. The initial value of the car is $8400 and the salvage value is $400. If the car is expected to have a useful life of another 5 years, how much will it depreciate each year?
Answer:
1,600
Step-by-step explanation:
did the math and this is what i got
A baby girl weighs 7.16 pounds at birth. By the time she is 1 year of age, her weight has tripled.
How much does she weigh at her 1 year checkup?
Help pleaseee
What is the mean? If the answer is a decimal, round it to the nearest tenth. 46026594
Answer:
28
With the mean, you have to add up the scores and subtract by the total values.
The only score number I know of is 20, so I just added up the values.
Hope this helps, let me know.
Marjorie consumed 1.5 gallons of water in one day. How many milliliters are equal to 1.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters? (
Answer:
32 ounces of trail mix are in a bag
w2 – 2w
Complete square to make perfect square trinomial
Answer:
w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)²Step-by-step explanation:
(a - b)² = a² - 2ab + b²
We have
w² - 2w = w² - 2(w)(1)
We must add 1²
w² - 2(w)(1) + 1² = (w - 1)²
The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.
What is perfect square?A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square. 25 is a natural number, and since there is another natural number 5, such that 52 = 25, 25 is a perfect square.
Here, we have,
(a - b)² = a² - 2ab + b²
We have
w² - 2w = w² - 2(w)(1)
We must add 1²
w² - 2(w)(1) + 1² = (w - 1)²
Hence, The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.
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Can somebody please help me walk me through this please and thank you. Other questions on my page
Answer:
it would be the 1st graph
Step-by-step explanation:
this is the graph when the equation is put into a ti calculator! the app i use is wabbit
and it's only available on Android. the pics should be attached! to do this yourself!
also to know without the tool is simply looking at the equation itself and seeing if a negative is in fro
nt of the equation or not which determined if the proabla is flipped or not.
look at the [tex] {t}^{2} [/tex]the 1st term in the equation is that number positive or negative? If positive then the proabla is positive and going up, if it has a negative sign then the proabla is going down
to help more heres more examples
[tex]- {t}^{2} - t - 6 \\ this \: proabla \: will \: be \: negative \\ \: and \: facing \: down[/tex]What is the slope of the line passing through the points (5, 3) and (5, -9)? *
Answer:
Slope is 0
Step-by-step explanation: x stood the same so therefore the slope is 0 or infinite
Solve for x:
3(x-4+1b)=8
Step-by-step explanation:
[tex]3\left(x-4+1\cdot \:b\right)=8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]
[tex]\frac{3\left(x-4+1\cdot \:b\right)}{3}=\frac{8}{3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x-4+b=\frac{8}{3}[/tex]
[tex]\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}[/tex]
[tex]x-4+b-b=\frac{8}{3}-b[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x-4=\frac{8}{3}-b[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]x-4+4=\frac{8}{3}-b+4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-b+\frac{20}{3}[/tex]
[tex]\\ \rm\Rrightarrow 3(x-4+b)=8[/tex]
[tex]\\ \rm\Rrightarrow 3x-12+3b=8[/tex]
[tex]\\ \rm\Rrightarrow 3x+3b=20[/tex]
[tex]\\ \rm\Rrightarrow x+b=20/3[/tex]
[tex]\\ \rm\Rrightarrow x=20/3-b[/tex]
Can you please help me thank you
which binary value equals 20
a) 0100
b) 0001
c) 1000
d) 0000
Answer:
c
Step-by-step explanation:
I'm not really sure but I hope I'm glad they are binary thing is just quite confusing I think it was cool but I really don't understand it
Answer:
a)0100 is the answer
rem
2/20 0
2/10 0
2/5 1
2/2 0
Simplify
14x^3y^2
_______
35xy^4z^2
Answer:
[tex]\frac{2x^2}{5y^2 z^2}[/tex]
Step-by-step explanation: