If Sharon is 3 years younger, then it's s = 3-b. However, it's twice her brothers age, which makes the formula our final answer, A, or [tex]s = 3 - 2b[/tex]
The correct option is A
Which step is the most efficient way to find the solution of x + 4 > -8?-
Answer:
see explanation
Step-by-step explanation:
given
x + 4 > - 8 ( subtract 4 from both sides )
x > - 12 ← solution
The step to use is subtract 4 from both sides
The value of x is -12
Step-by-step explanation:x + 4 > -8
Subtract 4 from both sides
x + 4 -4 > -8 -4
x > -12
On a farm, there are 20 fewer cows than twice the number of pigs. If there are 50 cows, how many pigs are there?
Answer:
140 pigs and 120 cows
Step-by-step explanation:
20+50=70
70x2=140(number of pigs)
140-20=120(number of cows)
identify an equation in point slope form for the line perpendicular to y=1/4x-7 that passes through (-2,-6)
Answer:
[tex]y+6=-4(x+2)[/tex]
Step-by-step explanation:
Perpendicular lines are lines which have negative reciprocal slopes. The slope of the equation is 1/4. This means the perpendicular slope is -4. Substitute m = 4 and (-2,-6) into the point slope formula.
[tex]y - y_1 = m(x-x_1)\\y --6=-4(x--2)\\y+6=-4(x+2)[/tex]
Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth. 6, 7, 19, 7, 18, 7
Answer:
The mean shall be 10.67 and the standard deviation shall be 6.09
Step-by-step explanation:
There are calculators online that can help u with problems like these :)
Write a fraction with a denominator of 7 whose equivalent percent is more than 100%. B.) Explain why the fraction is more than 100%.
[tex] \frac{8}{7} = 114\%[/tex]
A faction who's numerator is larger than it's denominator will always produce an equivalent percentage larger than 100%
Hey guys! Can you pls. Help me solve this problem? This is a polynomial long division.
I am pretty sure it is x^2 - 37x
but i am not completely sure
Evaluate the expression when b=-7 and y=7 b-4y
[tex]b = - 7 \: y = 7[/tex]
[tex]b - 4y[/tex]
[tex]( - 7) - 4(7)[/tex]
[tex] - 7 - 28[/tex]
[tex] = - 35[/tex]
Answer:
-35
Step-by-step explanation:
b-4y
We know b = -7 and y =7
-7 - 4(7)
Multiply
-7 -28
Add
-35
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 2/5 of its size. What is the scale of the new drawing?
The original area of the garden is 1,000 square feet. When the garden is reduced to 2/5 of its original size, the new area becomes 400 square feet. Therefore, the scale of the new drawing is 2:5.
Explanation:The original area of the rectangular garden is 100 feet by 10 feet which equals 1,000 square feet. Next season, the garden is decreased to 2/5 of its size. To find the new area of the garden, you multiply the original area by 2/5.
1,000 square feet * 2/5 = 400 square feet.
Therefore, the size of the garden is reduced to 400 square feet which reflects a scale of 2:5 (2 represents the new size, 5 represents the original size) in the new drawing.
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The scale of the new drawing after the garden is decreased to 2/5 of its original size is 2/5.
Explanation:In this problem, we are given the dimensions of a rectangular garden: 100 feet by 10 feet. We need to find the scale of the new drawing after the garden is decreased to 2/5 of its original size.
To find the scale, we can use the proportionality of the areas to the squares of the distances. The original area of the garden is 100 feet * 10 feet = 1000 square feet.
When the garden is decreased to 2/5 of its original size, the new area becomes 1000 square feet * 2/5 = 400 square feet.
In terms of the scale, the new area is 400 square feet, which is 2/5 of the original area. Therefore, the scale is 2/5.
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Simplify the expression 8x^2y^2/10 x^2y^3 and the missing terms. The simplest form of 8x^2y^2/10x^2y^3 has in the numerator and in the denominator.
Answer: 2/5y
Step-by-step explanation:
[tex]\frac{8x^{2}y^{2} }{10x^{2}2y^{3}} = \frac{(2)(2)(2)xxyy}{(5)(2)(2)xxyyy}[/tex]
remove common factors on top and bottom
= 2/5y
What is the mean absolute deviation (MAD) of the data set
( 2,6,8,12,12)??
Answer:
8
Step-by-step explanation:
2+6+8+12+12 is 40 divide that by 5 and it gives you 8
In the circus, a leopard has been trained to jump through a ring of fire that has a diameter of 2 meters. What is the ring's radius?
The radius of the ring is 1 meter.
Given a ring of fire has a diameter of 2 meters for which a leopard has been trained to jump through.
As we know that in a circle that has a diameter 'd', the radius 'r' is equal to half of the diameter. This means,
[tex]r = \frac{d}{2}[/tex]
Also, the perimeter of this circle is given by
[tex]2\pi r[/tex]
Now,
As given in the question, we have,
The diameter of the ring of fire = 2 meters
So,
The radius of a ring of fire
[tex]= \frac{2}{2}[/tex]
[tex]= 1 meter[/tex]
Hence, the radius of the ring of fire is 1 meter.
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The radius of a circle with a diameter of 2 meters is 1 meter. The radius is found by dividing the diameter by two.
Explanation:The question pertains to determining the radius of a circle when the diameter is given. The ring through which a leopard jumps in the circus has a diameter of 2 meters.
The formula for the diameter of a circle is d = 2r, where d is the diameter and r is the radius of the circle. To find the radius, we simply divide the diameter by 2.
Therefore, the radius of the ring is 1 meter, as r = d / 2 and thus, r = 2 meters / 2.
What is the value of the expression
Answer:
B 1/3
Step-by-step explanation:
3^-3 * 3^8
----------------------
3^6
We know that a^b * a^c = a^(b+c)
3^(-3+8)
----------------------
3^6
3^(5)
----------------------
3^6
We know that a^b divide by a^c = a^(b-c)
3^(5-6)
3^-1
A negative exponent means it goes in the denominator of the fraction
1/3^1
1/3
i require assistance
Answer:
D
Step-by-step explanation:
The horizontal asymptote is found by considering the ratio of the coefficients of the highest degree terms on the numerator and denominator, that is
coefficient of 6x² on the numerator ⇒ 6
coefficient of 9x³ on the denominator ⇒ 9
The horizontal asymptote is
y = [tex]\frac{6}{9}[/tex] ⇒ y = [tex]\frac{2}{3}[/tex] → D
Chef Rita is cooking a Sunday brunch. She knows that 22 pancakes can feed 8 people. She wondering how many people she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes
she could feed 20 people. To find the answer put 22/8 simplify to get 11/4 then multiply by 5/5
Answer:
22/8 simplify to get 11/4 then multiply by 5/5
Step-by-step explanation:
what is the range of the function f(x) = 1/3e^x - 2/3 + 1/2?
Answer:
(1/2, ∞ ). This corresponds to Answer B
Step-by-step explanation:
Important: enclose that negative exponent (-2/3) inside parentheses:
1/3e^(x- 2/3) + 1/2
and also that coefficient, 1/3:
(1/3)e^(x- 2/3) + 1/2
The range of the exponential function y = e^x is (0, ∞ ); that is, y is always positive, never zero or negative.
The function of that "1/2" is to shift the entire graph 1/2 unit up.
Thus, the range (0, ∞ ) becomes (1/2, ∞ ). This corresponds to Answer B.
Answer:
Answer is B for plato or edmentum
Step-by-step explanation:
Is the quadrilateral a parallelogram?
No
Yes
Not enough info
yes It has at least one set of parallel lines
If f(x) = √3x+2, what is the equation for f^-1(x)
Answer:
The correct answer is D) f(x) = (x^2 - 2)/3
Step-by-step explanation:
To find an inverse function, swap x and f(x) and then solve for the new f(x). That will be the new inverse function.
f(x) = √3x+2
x = √3f(x)+2
x - 2 = √3f(x)
x^2 - 2 = 3f(x)
(x^2 - 2)/3 = f(x)
One number is twice another number. If the larger is diminished by 10, the result is 2 more than the smaller. Find the numbers.
2x-10=2. (Answer=6)
2x=12 (you move the -10 to the other side of the equation to make it positive)
Then you divide by 2
2x divided by 2 equals x 12 divided by 2 is 6
So your number is 6. x=6
And you can check this by redoing the equation but putting 6 instead of x
2(6)-10=2
12-10=2
2=2
This equation is true therefore, your unknown number is 6
Final answer:
The problem is solved by setting up an equation where the larger number (2x) is diminished by 10 equals the smaller number (x) plus 2. Solving for x reveals that the smaller number is 12 and the larger number is therefore 24.
Explanation:
Let's denote the smaller number as x and the larger number as 2x since one number is twice another number. The problem states that if the larger number is diminished by 10, the result, which is 2x - 10, is 2 more than the smaller number. Therefore, we can write the equation:
2x - 10 = x + 2.
To solve for x, we first add 10 to both sides of the equation:
2x = x + 12.
Then, we subtract x from both sides:
x = 12.
Now that we know the smaller number is 12, the larger number is twice that, which means the larger number is 24.
In conclusion, the two numbers in question are 12 and 24.
Let g(x) be the reflection across the y-axis of the function f(x) = 5x + 8. Identify the rule for g(x).
A: g(x) = 5x − 8
B: g(x) = −5x + 8
C:g(x) = −5x − 8
D: g(x) = 5x + 8
Answer:
Option B: g(x) = −5x + 8
Step-by-step explanation:
If we have a function f(x) and wish to make a function g (x) that is equal to the reflection of the function f(x) on the y-axis, then we must make the following transformation to f(x):
[tex]g(x) = f(-x)[/tex]
In this case:
[tex]f(x) = 5x +8[/tex].
So when applying the transformation we obtain:
[tex]g(x) = f(-x) = 5(-x) + 8[/tex]
Finally we have that
[tex]g(x) = -5x +8[/tex]
Answer:
Your answer would be: B
Step-by-step explanation:
State if each pair of ratios forms a proportion 12/24 and 3/4
Answer:
Step-by-step explanation:
12/24 reduces to 1/2, whereas 3/4 does not reduce. This pair of ratios does not form a proportion.
If both ratios reduced to the same common value, that would represent a proportion.
Answer:
Step-by-step explanation:
12/24 reduces to 1/2, whereas 3/4 does not reduce. This pair of ratios does not form a proportion.
If both ratios reduced to the same common value, that would represent a proportion.
To calculate the area of a circle, you may use a formula. True False
Answer:
True
Step-by-step explanation:
The formula for an area of a circle is a = pi times radius squared
Answer:
True.
Step-by-step explanation:
To calculate the area of a circle you have to use the formula Area = PI times radius squared.
A printer prints 34 pages in 4 minutes
Answer:
the printer prints 8.5 pgs per minute
Step-by-step explanation:
34 ÷ 4 = 8.5
There are 3.4 pages does it print per minutes.
What is the unitary method?The unitary method is a fundamental concept of Mathematics and makes it convenient to solve various sums.
Let, x be the number of prints print per minute.
A printer prints 34 pages in 4 minutes. How many pages does it print per minutes?
The number of pages prints per minute is given by;
[tex]\rm Per \ minute \ print \ Pages=\dfrac{Total \ number \ of \ print \ pages}{Print \ in \ minutes}\\\\ Per \ minute \ print \ Pages=\dfrac{34}{4}\\\\ Per \ minute \ print \ Pages=8.5[/tex]
Hence, there are 3.4 pages does it print per minutes.
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For f(x)=3x-5 and g(x) = x^2+2 find (f+g)(x)
Answer:
[tex]\large\boxed{(f+g)(x)=x^2+3x-3}[/tex]
Step-by-step explanation:
[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=3x-5,\ g(x)=x^2+2\\\\\text{Substitute:}\\\\(f+g)(x)=(3x-5)+(x^2+2)=3x-5+x^2+2=x^2+3x+(-5+2)=x^2+3x-3[/tex]
Final answer:
To find (f+g)(x) for the given functions f(x)=3x-5 and g(x)=x²+2, you simply add the two functions to get (f+g)(x) = x²+ 3x - 3.
Explanation:
Adding Functions f(x) and g(x)
To find (f+g)(x), you simply need to add the values of f(x) and g(x) together for any value of x. Given that f(x)=3x-5 and g(x)=x²+2, the sum (f+g)(x) is obtained as follows:
Take the expression for f(x) and g(x):
f(x) = 3x - 5
g(x) = x² + 2
Add the two expressions together:
(f+g)(x) = f(x) + g(x)
(f+g)(x) = (3x - 5) + (x² + 2)
Combine like terms:
(f+g)(x) = x² + 3x - 3
The resulting function (f+g)(x) = x² + 3x - 3 is the sum of the two functions f(x) and g(x).
If [tex]8a^{3b}[/tex] = 1 and a > 0, find the value of [tex]a^{2b} - \frac{1}{a^{b} }[/tex]
Some factoring lets us write
[tex]a^{2b}-\dfrac1{a^b}=a^{2b}-a^{-b}=a^{-b}(a^{3b}-1)[/tex]
Then
[tex]8a^{3b}=1\implies a^{3b}=\dfrac18[/tex]
[tex]a^{2b}-\dfrac1{a^b}=a^{-b}\left(\dfrac18-1\right)=-\dfrac78a^{-b}=-\dfrac7{8a^b}[/tex]
Taking the cube root to solve for [tex]b[/tex], we find
[tex]\sqrt[3]{a^{3b}}=\sqrt[3]{\dfrac18}\implies a^b=\dfrac12[/tex]
so ultimately
[tex]a^{2b}-\dfrac1{a^b}=-\dfrac7{8\cdot\frac12}=-\dfrac74[/tex]
Answer:
The value of the given expression is 1 - 1 = 0
Step-by-step explanation:
8a^{3b} = 1 can be rewritten as (8a³)^b = 1 = (8a³)^0, which indicates that b = 0. If b= 0, then 2b = 2(0) = 0.
Then a^(2b) = a^0 = 1, and 1/a^b = 1/1 = 1.
Thus, the value of the given expression is 1 - 1 = 0
What does the expression m2p ÷ 3 equal if m = 3 and p = 6?
Answer:
12
Step-by-step explanation:
The correct answer is 12
the area of a rectangle is 160 in squared. the ratio of the length to the width is 5:2 find the length and width
let x=length
let y=width
x/y=5/2
y=2x/5
area=length*width
area=x*y=x(2x/5)=2x^2/5
2x^2/5=360
2x^2=1800
x^2=900
x=30
y=60/5=12
length= 30 inches
width= 12 inches
there you go!
The dimensions of the rectangle are 20 inches in length and 8 inches in width.
Explanation:The rectangle has an area of 160 square inches, and the length ratio to the width is 5:2. Let's denote the length as 5x and the width as 2x. The equation for the area of a rectangle is width * length, so we set up and solve the following equations:
The square
Then, we multiply 'x' with the respective parts of the ratio (5 and 2) to find the length and width:
Length = 5x = 5*4 = 20 inches Width = 2x = 2*4 = 8 inches Learn more about the Area of the Rectangle here:
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Plz help me with number 8 plz help me I’m begging you plz help me I need your help plz help me I’m begging you plz help me
Answer:
B. 990<s<1,850
seal dive, s is greater than 990ft and less than 1850 ft
=》 990<s<1850
Mangled angles I need the rest of these
Answer:
it is already fikled ok
Step-by-step explanation:
A gardener uses 144 feet of fencing to build a rectangular garden. The function A(w)=24w−w2 can be used to find the area of the garden for a given width, w. Does the function model the situation over the interval 12
Answer:
Yes, because these widths result in a positive value for area.
Step-by-step explanation:
in imagine math it is c or the bottom left one for me
The question involves using a quadratic function to model the area of a rectangle with a given perimeter. The function is not applicable to a width of 100 feet since it exceeds the logical constraints of the rectangle's perimeter.
Explanation:The student is asking about determining the dimensions of a rectangular area given a fixed perimeter and using a function to find the area for a given width, w. The function provided, A(w)=24w−w^2, is a quadratic function that models the area of a rectangle with a fixed perimeter of 144 feet. When the width is defined as w=100 feet, we cannot use this particular function to find the area because it would imply an unrealistic negative length for the remaining side, given the fixed perimeter constraint. Therefore, the function can only model the situation over the interval where 0 < w < 24, as the width must be less than half of the perimeter for a rectangle.
WILL GIVE BRAINLIEST!!!
Answer:
A
Step-by-step explanation:
A, because just read the three letters in any order but with the origin in the middle