Answer: 0.7
Step-by-step explanation:
Let the number of white cows be x
Thus, the number of brown cows be (x+12)
Hence,
x+(x+12)=60
x+x+12=60
2x+12=60
2x+12-12=60-12
2x=48
Divide both parts of the equation by 2:
x=24 white cows
x+12=36 brown cows
The number of white cows are less than one year old:
[tex]\displaystyle\\\frac{3}{4}(24)=\\\\\frac{3(24)}{4}=\\\\ 3*6=\\\\ 18\ white\ cows[/tex]
The number of brown cows are less than one year old:
[tex]\displaystyle\\\frac{2}{3}(36)=\\\\ \frac{2(36)}{3}=\\\\ 2*12=\\\\24 \ brown \ cows[/tex]
The total number of cows are less than one year old:
[tex]18+24=42\ cows[/tex]
Thus
Fraction of all the cows are less than one year old:
[tex]\displaystyle\\\frac{42}{60}=\\\\\frac{6*7}{6*10}=\\\\\frac{7}{10} =\\\\ 0.7[/tex]
The CFO of International Hardware expects to invest $50,000 of the firm's funds in a long-term investment vehicle at the end of each year for the next five years. She expects that the company will earn 7% interest that will compound annually. What is the value of these funds at the end of the five-years
The future value of these funds at the end of the five-years is $287,536.95
What is the future value of an annuity?
The future value of annuity , which is a stream of level of cash flows of $50,000 each year is determined using the future value formula of an ordinary annuity bearing in mind that that investment for an ordinary annuity is made at the end of each year rather than at the beginning of each year
FV=PMT*(1+r)^N-1/r
FV=future value of the annuity=unknown
PMT=annual investment=$50,000
r=annual interest rate=7%
N=number of annual investments to be made over 5 years=5
FV=$50,000*(1+7%)^5-1/7%
FV=$50,000*(1.4025517307-1)/0.07
FV=$50,000*0.4025517307/0.07
FV=$287,536.95
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A+B=C make B the subject
Answer:
C - A = B
Step-by-step explanation:
B is now what we are solving for.
Answer:
Flip the equation so B is the sum and also the subject.
Step-by-step explanation:
[tex]A - C = B[/tex]
Evaluate 3x2+8x+8 when x=3.
Answer:
Step-by-step explanation: since X=3 replace X
3 (3)2 +8 (3)+8
18+24+8 =50
Scrie numerele impare cuprinse între
695 și 707
Answer:
997
999
701
703
705
Sper că am ajutat <3
What are the steps in order to solve this?
Since m(n(x)) = n(m(x)) = x, then m(x) and n(x) are inverse functions
What is the inverse of a function?The inverse of a function is a function that can reverse into another function.
If we have function f and g, and f f(x) = y, then g is the inverse of f if and only if g(y) = x
Also, if f is a function f⁻¹ is the inverse of x and ff⁻¹(x) = f⁻¹f(x) = x
How to show that the composite fucntions are inverses?Given the functions m(x) = x³ - 5 and n(x) = ∛(x + 5)
If m(x) and n(x) are inverse, then m(n(x)) = n(m(x)) = x
So, we proceed as follows
m(x) = x³ - 5
m(n(x)) = (∛(x + 5))³ - 5
m(n(x)) = x + 5 - 5
m(n(x)) = x + 0
m(n(x)) = x
Also,
n(x) = ∛(x + 5)
n(m(x)) = ∛(x³ - 5 + 5)
n(m(x)) = ∛(x³ - 0)
n(m(x)) = ∛(x³)
n(m(x)) = x
Since m(n(x)) = n(m(x)) = x, then m(x) and n(x) are inverse functions
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parallel to 3y – 2x = – 2, passes through (3, –3)
y = 2/3x -6
Conditions for Lines to be parallel
If two straight lines are cut by a transversal, the pair of alternate angles are equal, then two straight lines are parallel to each other. the pair of interior angles on the same side of traversals is supplementary, then the two straight lines are parallel.
Given line
3y – 2x = – 2
passes through (3, –3)
The slope-intercept form is
y =mx+b,
where m is the slope and
b is the y-intercept.
y = mx+b
Divide each term in
3y – 2x = – 2 by -2 and simplify.
-3/2y +x =1
Reorder terms.
y = -(2/3)(x+1)
Using the slope-intercept form, the slope is
2/3.m=2/3
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope
2/3 and a given point (3, –3)
to substitute for
x1 and y1
in the point-slope form
y−y1=m(x−x1)
which is derived from the slope equation
m=(y2−y1)x2−x1.
y−(-3)=2/3⋅(x−(3))
Simplify the equation and keep it in point-slope form.
y+4=2/3⋅(x-3)
y = 2/3x -6
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replace the ? with a number to make it correct 9-5=6-?
A pharmacist wishes to mix a solution that is 8% Minoxidil. She has on hand 100 of a 2% solution and wishes to add some 10% solution to obtain 8% how much 10% solution should she add
Answer:
300 units
Step-by-step explanation:
.
A gold coin is worth $800 per oz. A silver coin is worth $50 per oz. How many ounces of gold can I purchase if I have $5600?
10 ounces
4000 ounces
7 ounces
Not enough information
Answer:
7 oz.
Step-by-step explanation:
$800 x 7 = $5600.
Answer:
7 ounces
Step-by-step explanation:
5600/800=7
chapter 8
2.Find the volume of each figure. Round your answers to the nearest hundredth, if necessary.
The volume of the given figure is 267.95 mi³.
What is the volume?The given object is a sphere. A sphere is a three-dimensional object that has all its surface points at equal distances from the center. A sphere is round in shape.
The volume of an object is the amount of space in the three-dimensional object. The radius of a sphere is a straight line from the circumference of the sphere to the center of the sphere.
Volume of a sphere = 4/3 × π × r³
Where:
π = pi = 22/7
r = radius = 4
4/3 x 22/7 x 4³ = 267.94667 mi³
267.95 mi³
To round off to the nearest hundredth, if the thousandth digit is equal to 5 or greater than 5, add 1 to the hundredth digit and change all the digits after the hundredth digit to 0.
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To prepare one bowl of salad, 3 3/4 pounds of vegetables are required. How many pounds of vegetables are required to prepare one-third bowl of salad?
Applying the knowledge of fractions, the number of pounds of vegetables required to prepare 1/3 bowl of salad is: 1¼ pounds.
How to Solve Fractions?In solving this problem, we would apply our knowledge of fractions as explained below.
One bowl of salad needs 3¾ pounds of vegetables
Let the number of pounds if vegetables needed for ⅓ bowl be represented as x. Therefore, we would have the following proportion:
1 bowl = 15/4 pounds of vegetables [i.e. 3¾]
⅓ bowl = x
Thus:
1/15/4 = ⅓/x
1/1 × 4/15 = 1/3 × 1/x
4/15 = 1/3x
Cross multiply
4(3x) = 1(15)
12x = 15
Divide both sides by 12
12x/12 = 15/12
x = 15/12
x = 5/4
x = 1¼ pounds
Therefore, applying the knowledge of fractions, the number of pounds of vegetables required to prepare 1/3 bowl of salad is: 1¼ pounds.
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What are the alternate exterior angle pairs in the picture below?
A. ∠1 and ∠7, ∠2 and ∠8
B. ∠1 and ∠8, ∠2 and ∠7
C. ∠1 and ∠2, ∠7 and ∠8
D. ∠1 and ∠3, ∠5 and ∠7
A. 1 and 7 and
2 and 8 alternate exteriora
Answer:
∠1 and ∠7, ∠2 and ∠8
Step-by-step explanation:
Alternate exterior angles are on the exterior of the lines and on opposite sides of the transversal.
The graph of the parent function f(x) = x is translated to form the graph of g(x) = (x+3)³-4. The point (0, 0) on the
graph of f(x) corresponds to which point on the graph of g(x)?
Answer:
f(x) + n - shift a graph of f n units up
f(x) - n - shift a graph of f n units down
f(x + n) - shift a graph of f n units left
f(x - n) - shift a graph of f n units right.
f(x) = x³, g(x) = (x + 3)³ - 4 = f(x + 3) - 4
3 units left and 4 units down.
(x, y) → (x - 3, y - 4)
therefore
(0, 0) → (0 - 3, 0 - 4) = (-3, -4).
Answer: (-3, -4).
Step-by-step explanation:
hope it helpsssss
Is 4x-6=y linear or nonlinear
Can someone please help with my question?
The required line representing the rise and the run of the line is created.
And the slope of the line in its simplest form is 9/-18.
Given a line is represented on the graph.
we need to create lines representing the rise and run of the line.
To find the slope of the line we need to determine the rise and run of the line.
The slope of a line is defined as the rise divided by the run, or the ratio of the rise to the run. It gives information about a line's slope in the coordinate plane. Finding the slope between two separate places is comparable to calculating the slope of a line.
The coordinates of the points are:
(9,0) = (x₁ , y₁)
(₋9 , 9) = (x₂ , y₂)
we know that slope (m) = rise/ run
rise = y₂ ₋ y₁
= 9 ₋ 0
= 9
run = x₂ ₋ x₁
= ₋9 ₋ 9
= ₋18
hence the slope is 9/₋18
The required slope of the line is 9/-18.
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Zeke made $10,200 last year working at a fast food restaurant. How much did Zeke make per month?
Determine whether the following procedure results in a binomial distribution or a distribution that
can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not
binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied.
In a Pew Research Center survey of 150 subjects, the ages of the respondents are
recorded.
From the given parameters in the survey; It is not binomial because the probability of success does not remain the same in all trials.
How to identify a binomial distribution problem?
The conditions for a distribution to be called binomial distribution are as follows;
1. The number of observations n is fixed.
2. Each observation is independent.
3. Each observation represents one of two outcomes (either a success or failure).
4. The probability of success (p) is the same for each outcome.
Now, from the given question, we can see that the number of observations is fixed and that each observation is independent. However, we don't know the probability of success for each person and as such we can't call this a binomial distribution.
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Evaluate 4(b + 1)² if b = 4.
Answer:
68
Step-by-step explanation:
4(4 + 1)²
4(16 + 1)
64 + 4
68
What is f_x (0,0) if
Hint: use Limit
[tex]f_x(0,0)[/tex] is the partial derivative of [tex]f[/tex] with respect to [tex]x[/tex] evaluated at the origin. By definition of derivative, this is the limit
[tex]\displaystyle f_x(0,0) = \lim_{x\to0} \frac{f(x,0) - f(0,0)}{x-0} = \lim_{x\to0} \frac{f(x,0)}x[/tex]
We have by definition of [tex]f[/tex],
[tex]f(x,0) = \dfrac{x^5}{x^4+0^4} = \dfrac{x^5}{x^4}[/tex]
so
[tex]\displaystyle f_x(0,0) = \lim_{x\to0} \frac{\frac{x^5}{x^4}}x = \lim_{x\to0} \frac{x^5}{x^5} = \lim_{x\to0} 1 = \boxed{1}[/tex]
Analyze the diagram below and answer the question that follows.
Which statement describes the shaded region in the Venn diagram?
The statement that describes the shaded region in the Venn diagram is (a) (P u Q)' n S
How to determine which statement describes the shaded region in the Venn diagram?The Venn diagram represents the given figure
On the Venn diagram, we can see that:
All region that contains set P and Q are not shaded
This means that
(P u Q)'
The only region that is shaded in the diagram is the region of set S
This is then represented as
(P u Q)' n S
Hence, the statement that describes the shaded region in the Venn diagram is (a) (P u Q)' n S
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What is the solution set for the following equations:
y = 5x -7 and y = 2x + 5
(3,12)
(4, 13)
(-7,5)
(2,5)
please help!
Answer:
(4,13)
Step-by-step explanation:
Set the 2 equations equal to each other and solve for x.
5x - 7 = 2x + 5 Subtract 2x from both sides
3x - 7 = 5 Add 7 to both sides
3x = 12 Divide both sides by 3
x = 4
Now plug 4 back into either of the original 2 equations to find y.
y = 5x -7
y= 5(4) -7
y = 20 -7
y= 13
Can you think of any other shapes that are always similar? If you can explain why they are always similar.
Answer:
Step-by-step explanation:
All you need is angles that are the same in each shape.
For example, all squares are similar. They all have 4 ninety degree angles.
All polygons with equal angles are similar. All regular hexagons have interior angles of 120 degrees. So all regular hexagons are similar.
All regular octagons are similar. All regular octagons (8 sides) have interior angles of 135 degrees.
To get more, just look up the names of all regular polygons from 3 to 10. I've given you three of them.
Please help me I’m begging you
Answer: 6 : 3 = 8 : 4 = 1 : 2
Step-by-step explanation:
Here are 3 equivalent ratios
6 : 3 = 8 : 4 = 1 : 2
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
3,\, 12,\, 48,\, ...
3,12,48,...
This is
sequence and the
is equal to
.
The given sequence is an arithmetic sequence and the common difference is 4.
Given, the sequence is :
3,12,48
we need to determine the common difference.
common ratio = a₂/a₁
a₂/a₁ = 12/3
a₂/a₁ = 4
a₃/a₂ = 48/12
a₃/a₂ = 4
hence the common difference is 4.
Therefore, the common difference indicates arithmetic sequence.
There are two approaches to define an arithmetic sequence. It is a "series where the differences between every two succeeding terms are the identical" (or) In an arithmetic sequence, "each term is obtained by adding a fixed number (positive or negative or zero) to its preceding term."
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A statue is 6 feet tall and weighs about 145 pounds. A second model statue is 4 feet tall.
Assume that the two statues have similar shape.
a) What is the linear scale factor for going from first to second statue?
b) How much does the second statue weigh?
The linear scale factor for going from first to second statue will be 2/3 and the weight of the second statue will be 96 2/3 pounds.
How to illustrate the information?It should be noted that the statue is 6 feet tall and weighs about 145 pounds and second model statue is 4 feet tall.
Therefore, the linear scale factor for going from first to second statue will be:
= 4/6
= 2/3
Therefore, the weight of the second statue will be:
= 2/3 × 145
= 96 2/3 pounds.
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The following angles are supplementary to each other.
mzA= (3x + 21)° and mzB = (6x - 21)°
Determine x.
A10
B20
C36
D60
Answer: 20
Step-by-step explanation: I can help with am explanation if you dm me:)
4x-3y=3
- 8x+6y=-6
solve for x and y
The system of equation 4x - 3y = 3and -8x + 6y = -6 has no solution as they are parallel lines.
What is system of equation?When two or more linear equations are there we call them a system of equations.
Given a system of equations 4x - 3y = 3...(i) and -8x + 6y = -6...(ii) this is solvable as the number of variables is not more than the number of equations.
Now to solve for x or y first we have to eliminate one of the varibales by any arithmetic operation.
By observing we conclude that if we multiply equation(i) by 2 and then add both of them the x variable will cancel out and we can solve for y which is
8x - 6y = 6
(+) -8x + 6y = -6
----------------------
As we can see here that both x and y are getting canceled therefore these two equations have no solution and hence they are parallel to each other(lines).
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If y varies directly with x and y=36 when x=6, find the value of y when x=4.
6
12
24
-18
If y varies directly with x and y=36 when x=6, the value of y is 24 when x=4.
What is direct variation?
The mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. It is a linear function defined by an equation of the form
y = kx when x is not equal to zero.
Given:
If y varies directly with x and y=36 when x=6
According to given question we have
we can write direct variation equation as
y= k*x
where k is constant
y = 36 when x=6,
36 =k(6)
k=6
So, by putting the value of x=4 we get,
y =kx
y=6*4
y=24
Therefore, If y varies directly with x and y=36 when x=6, the value of y is 24 when x=4.
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Out of 340 racers who started the marathon, 311 completed the race, 25 gave up, and 4 were disqualified. What percentage did not complete the marathon?
Mario was asked by his teacher to express 33% in ratio, fraction, and decimal. Which of the following table do you think is an equivalent value of 33% expressed in a ratio, fraction, and decimal? Compute and solve a problem of Mario
The equivalent value of 33% expressed in a ratio, fraction, and decimal is 33 : 100, 33/100 and 0.33 respectively
Ratio, Fraction and decimal33%
In ratio:
33%
= 33 / 100
= 33 : 100
In fraction:
33%
= 33/100
In decimal:
33%
= 33/100
= 0.33
Therefore, the equivalent value of 33% expressed in a ratio, fraction, and decimal is 33 : 100, 33/100 and 0.33 respectively
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