Answer:
length = 10 cm
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Al ( A is the cross sectional area and l is the length )
Here V = 125 and A = 12.5 , then
125 = 12.5 × l ( divide both sides by 12.5 )
10 = l
The length of the prism is 10 cm
if f(x) = (3+x)/(x-3), what is f(a+2)
Answer:
B
Step-by-step explanation:
To evaluate f(a + 2), substitute x = a + 2 into f(x), that is
f(a + 2) = [tex]\frac{3+a+2}{a+2-3}[/tex] = [tex]\frac{5+a}{a-1}[/tex]
Find the slope of the line that passes through (7,1) and (6,8)
Answer:
-7
Step-by-step explanation:
[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7
how do you simplify 2.7 x 6
Answer:
16.2
Step-by-step explanation:
plsss help!!!!!!!!!!!!!!!!!!!!
Answer:
1. C ≈ 43.9823
2. C ≈ 37.6991
Step-by-step explanation: c=2π · r
19x+5+16x=180
I need help with this I don’t understand
Hello!
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19x+5+16x=180
First, add the x's together:
35x+5=180
Now, subtract 5 from both sides:
35x=180-5
35x=175
Divide both sides by 35 to isolate x:
x=5
Hope you find my answer helpful! Please give the crown if you do! (:
~SparklingFlower
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Which circle has a radius that measures 10 units?
10
D
20
F
10
OG
20
Option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Radius of a circle is the distance from the center of the circle to any point on it's circumference.
The distance across a circle through the centre is called the diameter.
Diameter = 2 × radius
In the given figures, option B has a diameter of 20
so radius = diameter /2
=20/2
=10 units
Hence, option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.
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which expressions are equivalent to 4 (4a + 5)
choose 3 answers
A. 16a + 5
B. 16a + 20
C. 12a + 20 + 4a
D. 2 (8a + 10)
E. 16a + 5 + 4
Answer:
B 16a + 20
Step-by-step explanation:
4(4a + 5) = 4 times 4a + 4 times 5
= 16a + 20
Can someone explain this to me? No Links no bots.
Answer:
Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the values in a function such as ). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an value in.
Step-by-step explanation:
Rocío y su hermano Rafael son aficionados al modelismo y tienen una colección de
barcos y aviones. Rocío comentó: "Si tuviéramos once barcos más, tendríamos el
mismo número de barcos y aviones”, a lo que Rafael respondió: “Pero si tuviéramos
doce aviones más, tendríamos el doble de aviones que de barcos”. ¿Cuántos barcos
y aviones tienen Rocío y Rafael?
Usando un sistema de ecuaciones, se encuentra que Rocío y Rafael tienen 23 barcos y 34 aviones.
Para el sistema, consideramos que:
x es el número de barcos.y es el números de aviones.Situviéramos once barcos más, tendríamos el mismo número de barcos y aviones, o sea:
[tex]x + 11 = y[/tex]
[tex]y = x + 11[/tex]
Pero si tuviéramos doce aviones más, tendríamos el doble de aviones que de barcos, o sea:
[tex]y + 12 = 2x[/tex]
De el primer ecuación, [tex]y = x + 11[/tex], por eso:
[tex]y + 12 = 2x[/tex]
[tex]x + 11 + 12 = 2x[/tex]
[tex]x = 23[/tex]
[tex]y = x + 11 = 23 + 11 = 34[/tex]
Rocío y Rafael tienen 23 barcos y 34 aviones.
Un problema similar es dado en https://brainly.com/question/24646137
(x+a)^2 -7 = x^2 +10x +b
Work out the value of a and b.
Answer:
(x+a)²-7=x²+10x+b
simplifying,we get
x²+2ax+a²-7=x²+10x+b
the coefficient of x on both sides should be equal
therefore
2a=10
a=10/2=5
also for b
a²-7=b
5²-7=25-7=b
b=18
a=5
Is x+y=10 linear or non
Answer:
Not
Step-by-step explanation:
In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
At which root does the graph of f(x) = (x + 4)(x + 7,5) cross the x-axis?
-7
-4
4
7
Answer:
Answer: -7
Step-by-step explanation:
The roots at which the graph of f(x) =(x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x axis are -4 and -7.
What is Root of Equation?In mathematics, a root is a solution to an equation that is usually stated as a number or an algebraic formula.
A quadratic equation's roots are the variable values that fulfil the equation. They are also referred to as "solutions" or "zeroes" of the quadratic equation.
We have If(x) = (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x-axis then y = f(x) = 0.
Now, if f(x) = 0
then (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] = 0
Now, calculating in separate the value of x as
x +4 =0 and x+ 7= 0
x = -4 and x = -7
Thus, the roots cross x axis at -4 and -7.
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Use mental math to find the partial products 3,000 x 5=
Answer:
15,000
Step-by-step explanation:
3 times 5 is 15, just add the 3 zeros.
15,000 is the partial product of 3000*5.
What is partial products?A partial product is a product obtained when we multiply a multiplicand by one digit of a multiplier that has more than one digit.
Given that, 3000*5
3000*5 = 15000
Hence, the partial product of 3000*5 is 15000.
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Is the expression 8 x 85 equivalent to (8 X 835? Explain.
pls help I'm dying lol
[tex]8 \times 835 = 6680[/tex]
Answer:
the answer will be 6680
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation
(-9,- 4); y = - 3x + 5
Write an equation for the line in slope-intercept form
(Simplify your answer. Use integers or fractions for any numbers in the equation)
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope. a parallel line must have the same slope.
in our case here it is -3.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
-4 = -3×-9 + b = 36 + b
b = -40
so, the full equation of the parallel line is
y = -3x - 40
Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip
Answer:
$31.92
Step-by-step explanation:
28.50 x .12 = 3.42
3.42 + 28.50 = $31.92
The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.
Let’s set up a proportion. We can substitute the amounts we know into the proportion.
Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.
Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.
Marco is making rice but wants to decrease the recipe to make less.
Which fraction could he multiply his ingredient amounts by in order to produce less rice?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
help me please
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
First clear the bracket of the inner fraction's numerator. This would allow you to reduce the inner fraction to lowest terms.
Given the expression
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
In order to simplify, note that the numerator and denominator of the fraction
[tex]\frac{(2r^2t)^3}{4t^2}[/tex]
have common factors. So, we would first remove the bracket in the numerator. This would allow us to reduce the fraction to lowest terms.
To clear the numerator's bracket, note that
[tex](2r^2t)^3=(2r^2t)\times(2r^2t)\times(2r^2t)\\=(2\times2\times2)\times(r^2\times r^2\times r^2)\times(t\times t\times t)\\=8\times r^6 \times t^3=8r^6 t^3[/tex]
that was long. The shorter way was to do the following
[tex](2r^2t)^3=2^3\times r^{2\times3}\times t^3=8r^6t^3[/tex]
so back to the original question, to simplify
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
we would do
[tex](\frac{(2r^2t)^3}{4t^2})^2=(\frac{2^3r^{2\times3}t^3}{4t^2})^2\\\\=(\frac{8r^6t^3}{4t^2})^2[/tex]
Now that we have removed the bracket from the numerator, we can now accomplish the step of reducing the fraction to lowest terms
[tex](\frac{8r^6t^3}{4t^2})^2=(\frac{8}{4}\times r^6\times \frac{t^3}{t^2})^2\\=(2\times r^6\times t^{3-2})^2\\=(2\times r^6\times t^1)^2\\=(2r^6t)^2[/tex]
Learn more here: https://brainly.com/question/1382660
Which equation has the solution x = 3?
Select each correct answer.
9−3x=0
2x + 4 = 10
9x−1=4
3x + 1 = 9
x3+5=6
5x−7=1
Answer:
First two equations
Step-by-step explanation:
9-3x=0
9=3x
3=x
x=3
2x+4=10
2x=6
x=3
9x-1=4
9x=5
x=5/9
3x+1=9
3x=8
x=8/3
x^3+5=6
x^3=1
x=1
5x-7=1
5x=8
x=8/5
51 samples were analyzed, and the sample mean was 9.7 ounces. Can you determine the standard deviation of the sample
Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of sample means is given by:
[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].
In which [tex]\sigma[/tex] is the population standard deviation.The Central Limit Theorem states that, the sampling distribution of sample means of size n, from a population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], has mean [tex]\mu[/tex] and standard deviation, which is also called standard error, [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question, 51 samples, hence, [tex]n = 51[/tex]
Hence, applying the Central Limit Theorem, the standard deviation for the sampling distribution of sample means is given by:
[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].
In which [tex]\sigma[/tex] is the population standard deviation.A similar problem, which also involves the Central Limit Theorem, is given at https://brainly.com/question/24663213
1-2 what is the slope of the table
Answer:
1. the slope is 3/1 = 3
2. the y-intercept is 2
Step-by-step explanation:
hope this helps :)
-4 ( x -2 ) = -2 ( x -17/2 ) how many solutions does it have? No need to solve, just how many solutions does it have
Answer:
One Solution
x = -9/2
Step-by-step explanation:
Who many can fill it ?
Answer:
6×3×4= 72 unit cubes
................................
you are making a blueprint of your bedroom and you plan to use a scale factor of 1/8. The actual width of your room is 14 fret and the actual length of your room is 16 feet. Determine the length and width of your room in the blueprint.
Answer:
1.75 feet in the blueprints for the width
2 feet in the blueprints for the length
Step-by-step explanation:
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Please brainlest
Find the length s of the arc that subtends a central angle of measure 3 rad in a circle of radius 5 cm
PLEASE HELP ! what is f(5)
A) 0
B) 5
C) -7
D) -5
- BRAINLIEST answerer
Does anyone know this ??
Answer:
I believe that its C, but don't get mad at me if I get it wrong
The Olympic record for the most points in springboard diving is 905.02. The gold medal winner in 2008 scored 572.9. How many more points is the record to the gold medal winner of 2008?
Answer:
332.12
Step-by-step explanation:
what fraction is this shape is shaded
Find the slope between (-4,9)and(-2,8)
Answer:
-1/2
Step-by-step explanation:
Tell me if you want a step by step.
Hope this helps. :)
Answer:
-1/2
Step-by-step explanation: