Answer:
y=1 + [tex]\frac{4x}{5}[/tex]
x=-[tex]\frac{5}{4}[/tex] + [tex]\frac{5y}{4}[/tex]
Factor to find the zeros of the function defined by the quadratic expression. 2x2 − 18x + 36
2 x square - 18 x + 36
2 x square - 6 x -12 x + 36
2 x (x - 3 )- 12 (x - 3 )
x - 3 2 x =12
x = 3 x =6
Answer:
A) x=3 or x=6
Step-by-step explanation:
Factor out the GCF : 2(x^2-9x+18)
Then, set to zero.
2(x^2-9x+18)=0
2(x-3)(x-6)=0
x=3 or x=6
A point in the figure selected at random. find the probability that the point will be in the part that is NOT shaded.
Answer:
The probability that the point will be in the part that is NOT shaded is about 20% ⇒ 4th answer
Step-by-step explanation:
* Lets look to the figure
- There are four circles inscribed in a square
- The four circles touched each other and touched the four
sides of the square
∴ The side of the square = twice the diameter of a circle
- If the side of the square is l and the diameter of the circle is d
∴ l = 2d ⇒ divide the two sides by 2
∴ d = (1/2) l
∵ The radius of the circle = (1/2) the diameter
∴ r = (1/2) d
∵ d = (1/2) l
∴ r = (1/2)(1/2) l = (1/4) l
* Now lets find the area that NOT shaded
∵ The area of the square = side × side
∴ The area of the square = l × l = l²
∵ The area of the circle = πr²
∵ r = (1/4) l
∴ r² = [(1/4) l]² = (1/4)² × l² = (1/16) l²
∴ The area of one circle = (1/16)πl²
- The shaded part is the four circles
∴ The shaded area = 4 × (1/16)πl² = (1/4)πl²
- The part is not shaded = Area of the square - Area of the shaded part
∴ The area of not shaded = l² - (1/4)πl² ⇒ take l² as a common factor
∴ The area of not shaded = l²(1 -1/4 π)
- The probability that the point will be in the part that not shaded is
area of the part not shaded/area of the square
∴ P = l²(1 - 1/4 π)/l² ⇒ cancel l² from up and down
∴ P = (1 - 1/4 π )/1 = 0.2146 ≅ 0.2
- Chang it to percent number
∴ P = 0.2 × 100% = 20%
* The probability that the point will be in the part that is NOT shaded
is about 20%
∴ r = (1/2) d
∴
vertices (15,0) and (-15,0), conjugate axis of length 4 units
Answer:
Step-by-step explanation:
16 units
Please help me with this question in the picture
Answer:
I would say it's b because that makes the most sense tbh
Step-by-step explanation:
Answer:
every fifth student in seventh gradeStep-by-step explanation:
Which equation is represented by the table?
the answer is b=3a+2 so B
The answer is B hope this helped!
You cannot take a logarithm for a negative number. Why do you suppose this is true?
Answer:
Step-by-step explanation:
Think about it for a second.
Take log 3 (-9). 3 to what power is -9.
Let's try:
3 ^ 2 = 9. So it's not negative 9.
Maybe 3 ^ -2 = 1/9. Still not -9.
Let's try 3 ^ 1/3 = 1.4422. Still not remotely close.
So we can make a conclusion that a positive number to any real exponent can't give us a negative number.
A logarithmic equation exists as an equation that involves the logarithm of an expression including a variable. To translate exponential equations, first, see whether you can write both sides of the equation as powers of the identical number.
What is logarithmic function?The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
As the base of a power function, 0, 1, and every negative integer provide a possible issue. Furthermore, if those values cannot be relied upon to be the base of a power function, they cannot be relied upon to be the base of a logarithm either. For this reason, we restrict the base of the logarithm to only positive numbers other than 1.
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A mailbox is in the shape of a prism. The area of the base is 52 square inches and the height is 18 inches. What is the volume of the mailbox
Answer:
The volume of the mailbox is [tex]936\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the prism (mailbox) is equal to
[tex]V=Bh[/tex]
where
B is the area of the base of the prism
h is the height of the prism
we have
[tex]B=52\ in^{2}[/tex]
[tex]h=18\ in[/tex]
substitute
[tex]V=52(18)=936\ in^{3}[/tex]
Which is one of the solutions to the equation 2x^2 - x - 4 = 0
Answer:
[tex]x_{1}=\frac{1+\sqrt{33} }{4}\\x_{2}=\frac{1-\sqrt{33} }{4}[/tex]
Step-by-step explanation:
Using quadratic formula
[tex]x=\frac{-b+-\sqrt{b^{2}-4*a*c} }{2*a}[/tex]
we will have two solutions.
2x^2 - x - 4 = 0
So, a=2 b=-1 c=-4, we have:
[tex]x_{1}=\frac{+1+\sqrt{-1^{2}-4*2*-4} }{2*2}\\\\x_{2}=\frac{+1-\sqrt{-1^{2}-4*2*-4} }{2*2}[/tex]
Finally, we have two solutions:
[tex]x_{1}=\frac{1+\sqrt{33} }{4}\\\\x_{2}=\frac{1-\sqrt{33} }{4}[/tex]
look at the picture and plzzz help and give me the right answer
Answer:
Below is the sequence of steps which are required to follow in order to have the expression in its simplified form.
Step 1
[tex](875x^{5}y^{9})^{\frac{1}{3}}[/tex]
Step 2
[tex](125.7)^\frac{1}{3}.x^{\frac{3}{5}}.y^{\frac{9}{3}}[/tex]
Step 3
[tex](125)^{1/3}.(7)^{1/3}.x(^{\frac{3}{3}+\frac{2}{3}}).y^{3}}[/tex]
Step 4
[tex](5^{3} )^{\frac{1}{3}}.7^\frac{1}{3}.x^{(1+\frac{2}{3})}.y^{3}[/tex]
Step 5
[tex]5^{1}.7^\frac{1}{3}.x^{1}.x^\frac{2}{3}.y^3[/tex]
Step 6
5xy³([tex]7^{\frac{1}{3} }[/tex][tex]x^{\frac{2}{3} }[/tex])
Step 7
5xy³([tex]7x^{2}[/tex])[tex]\frac{1}{3}[/tex]
Step 8
5xy³[tex]\sqrt[3]{7x^{2}}[/tex]
The mean number of catfish in all 6 samples is approximately 5.7. If 200 fish are in the pond, which proportion can be used to predict the number of catfish in the population?
Answer: There would be 190 catfish in all 200 samples in the population.
Step-by-step explanation:
Since we have given that
Number of fish = 6
Mean number of catfish = 5.7
If the number of fish = 200
So, we need to find the proportion to find the number of catfish in the population.
Let the number of catfish in the population be 'x'.
According to question, it becomes,
[tex]\dfrac{6}{5.7}=\dfrac{200}{x}\\\\6x=5.7\times 200\\\\6x=1140\\\\x=\dfrac{1140}{6}\\\\x=190[/tex]
Hence, there would be 190 catfish in all 200 samples in the population.
Answer:
A
Step-by-step explanation:
edge 2021
Volume of the cylinder is
of the volume of the cone.
Answer: The formula for the volume of a cylinder is v = πr2h. The volume for a cone whose radius is R and whose height is H is V = 1/3πR2H.
Apex Precal please help
How many solutions are there for the system shown below?
2x^2+y^2=33
x^2+y^2+2y=19
A. 1
B. 4
C. 3
D. 2
Your answer for this question will be B.4
Answer:
Choice B; 4
Step-by-step explanation:
The solution to a system of equations is a pair of points (x, y) such that both equations pass through the given point. The number of solutions will thus be the number of such points where both functions pass through or intersect. The solutions to a system of equations can be determined analytically or graphically.
In this case, the graphical approach is much easier to use. We simply graph the two equations on the same graph and determine the number of points where they intersect.
From the attachment below, we see that the functions intersect at 4 distinct points. Hence there are 4 solutions to the system of equations given.
Using radicals write an equivalent expression for the expression y1/5
Answer: y2/10
Step-by-step explanation:
The equivalent expression for [tex]\( y^{1/5} \)[/tex] using radicals is [tex]\( \sqrt[5]{y} \).[/tex]
Sure, I can help with that! To express [tex]\( y^{1/5} \)[/tex] using radicals, we need to rewrite the exponent [tex]\( \frac{1}{5} \)[/tex] as a radical.
The expression [tex]\( y^{1/5} \)[/tex] can be written as [tex]\( \sqrt[5]{y} \)[/tex].
Here's the step-by-step calculation:
1. Start with the expression [tex]\( y^{1/5} \).[/tex]
2. Rewrite the exponent [tex]\( \frac{1}{5} \)[/tex] as a radical, giving [tex]\( \sqrt[5]{y} \)[/tex].
To understand why [tex]\( y^{1/5} \)[/tex] can be expressed as [tex]\( \sqrt[5]{y} \)[/tex], let's break it down:
The exponent [tex]\( \frac{1}{5} \)[/tex] means taking the fifth root of [tex]\( y \)[/tex]. The radical symbol [tex]\( \sqrt[5]{\;} \)[/tex] represents the fifth root. So,[tex]\( y^{1/5} \)[/tex] is equivalent to [tex]\( \sqrt[5]{y} \).[/tex]
In other words, raising [tex]\( y \)[/tex] to the power of [tex]\( \frac{1}{5} \)[/tex] is the same as finding the number which, when multiplied by itself five times, equals [tex]\( y \)[/tex]. This is precisely what the fifth root accomplishes.
Therefore, the equivalent expression for [tex]\( y^{1/5} \)[/tex] using radicals is [tex]\( \sqrt[5]{y} \).[/tex]
Complete question:
Using radicals write an equivalent expression for the expression y1/5
Help please I don’t understand probability and need the correct answers to these questions.
Answer:
1) = 0.175
2) = 0.244
3) = 0.168
Step-by-step explanation:
Experimental, not theoretical, so we use the results table.
1. P(3 n Tails) = 62/(53 + 65 + 49 + 71 + 54 + 62) = 0.175
2. P(Woman n Up) = 39/(36 + 43 + 39 + 42) = 0.244
3. P(Tuna n Wheat Bread) = 23/(22 + 24 + 21 + 22 + 25 + 23) = 0.168
Matt is cutting quilt squares measuring 3 inches on each side he wants to use them to make a rectangular wall hanging measuring 1 yard by 2/1/2 feet how many quilt squares does he need
The answer is:
Matt will need 120 quilt squares.
Why?To solve the problem, we need to calculate the area of the wall and then, calculate how many quilt squares are needed.
We know that the wall measures 1 yard and 2 1/2 feet, also we know that the quilt squares measures 3 inches.
First, we need to conver the units:
So, converting we have that:
[tex]1yard=36inches[/tex]
Also,
[tex]1feet=12inches[/tex]
[tex]2.5*1feet=2.5*12inches[/tex]
[tex]2.5feet=30inches[/tex]
For the wall:
Calculating the area of the wall, we have:
[tex]Area_{rectangle}=base*height\\\\Area_{rectangle}=36inch*30inch=1080inch^{2}[/tex]
For the quilt squares:
Calculating the area of the quilt square, we have:
[tex]Area_{square}=side*side\\\\Area_{square}=3inch*3inch=9inch^{2}[/tex]
Therefore, to calculate how many quilt squares are needed, we need to use the following equation:
[tex]QuitSquaresNeeded=\frac{Area_{rectangle}}{Area_{square}}\\\\QuitSquaresNeeded=\frac{1080inch^{2}}{9inch^{2}}=120[/tex]
Hence, we have that Matt will need 120 quilt squares.
Have a nice day!
Answer:240
Step-by-step explanation:
i got this answer right on my school
Find the x intercept(s) y= -x^2 + 2
Answer:
[tex](\pm \sqrt{2}, 0)[/tex]
Step-by-step explanation:
The x intercepts are basically the points at which y = 0.
-x^2 + 2 = 0
-x^2 = -2
x^2 = 2
x = [tex]\pm \sqrt{2}[/tex]
For this case we have by definition, that to find the x-intercept points, we must make the variable y = 0 and clear the value of "x". So:
[tex]y = -x ^ 2 + 2\\0 = -x ^ 2 + 2\\x ^ 2 = 2\\x = \sqrt {2}[/tex]
So, the x-intercepts are:
[tex](x_ {1}, y_ {1}) = (\sqrt {2}, 0)\\(x_ {2}, y_ {2}) = (- \sqrt {2}, 0)[/tex]
ANswer:
[tex](x_ {1}, y_ {1}) = (\sqrt {2}, 0)\\(x_ {2}, y_ {2}) = (- \sqrt {2}, 0)[/tex]
What is the value of X enter your answer in the box
Answer:
x = √(13² - 12²) = √(169 - 144) = √25 = 5
Katherine has a 30 foot length of ribbon. She cuts the ribbon into 7 pieces of equal length. The length of each piece of ribbon will fall between which two whole- number lengths?
A. 2 and 3
B. 3 and 4
C. 4 and 5
D. 5 and 6
C. 30 divided by 7 is roughly 4.3 which’s is between 4 and 5
a model rocket is launched from a roof into a large field the path of the rocket can be modeled by the equation Y equals -0.05x^2 + 9.6 x + 5.4 where X is the horizontal distance in meters from the starting point on the roof and y is the height in meters of the rocket above the ground how far horizontally from its starting point will the rocket land round your answer to the nearest hundredth
•82.03 m
•6.50 m
• 90.00 m
• 88.53 m
The answer to this question is going to be 88.53 because you shift it horizontally
Answer:
it's 160 or 160. 56
Step-by-step explanation:
since you want the height horizontally from the starting height, and that height was 5.4 metres,
-.06x^2 + 9.6x + 5.4 = 5.4
the 5.4 drops out, so
x(-.06x + 9.6) = 0
x = 0 , the starting time
or
x = 9.6/.06 = 160
it will land after 160 m
WILL GIVE BRAINLIEST, 5/5 RATING, AND LIKE!
Answer:
ok thanks :)
Step-by-step explanation:
Answer:
Sounds epic
Step-by-step explanation:
What is the value of X? any help would be great:)
Answer:
x = 2
Step-by-step explanation:
Given 2 secants drawn from an external point to the circle, then
EC × ED = EB × EA, that is
(x + 4)(x + 4 + 1) = (x + 1)(x + 1 + 11)
(x + 4)(x + 5) = (x + 1)(x + 12) ← expand factors on both sides
x² + 9x + 20 = x² + 13x + 12 ← subtract x² + 13x from both sides
- 4x + 20 = 12 ( subtract 20 from both sides )
- 4x = - 8 ( divide both sides by - 4 )
x = 2
Given that (-2,-1) is on the graph of f(x), find the corresponding point for the function f(x-4).
Answer:
(2, -1)
Step-by-step explanation:
The function f(x-4) represents a shift of f(x) 4 units to the right. Adding 4 to the x-coordinate of (-2, -1) puts it at (2, -1).
Joy is planning to purchase a sweater that costs $30 dollars at her local department store. The sweaters are on sale for 20% off.
Which steps are needed to find the sale price of the sweater?
A. Convert the percent to its decimal equivalent. Multiply the decimal by the original amount to find the discount.
B. Convert the percent to its decimal equivalent. Divide the decimal by the original amount to find the discount. Subtract the discount from the original amount.
C. Convert the percent to its decimal equivalent. Multiply the decimal by the original amount to find the discount. Add the discount to the original amount.
D. Convert the percent to its decimal equivalent. Multiply the decimal by the original amount to find the discount. Subtract the discount from the original amount.
To find the sale price of a sweater, convert the discount percentage to a decimal, multiply by the original price to get the discount amount, and subtract this from the original price. So correct answer is B.
The correct steps needed to find the sale price of the sweater that Joy is planning to purchase are as follows:
Convert the percent discount to its decimal equivalent.
Multiply the decimal by the original amount to find the discount amount.
Subtract the discount amount from the original amount to determine the sale price.
I need help please.
Answer:
C= 2*pi*r
Step-by-step explanation:
What is the value of sec theta given the diagram below?
Answer:
[tex]\sec \theta=-\sqrt{5}[/tex]
Step-by-step explanation:
The hypotenuse is [tex]h^2=6^2+3^2[/tex]
[tex]h^2=36+9[/tex]
[tex]h^2=45[/tex]
[tex]h=\sqrt{45}[/tex]
[tex]h=3\sqrt{5}[/tex]
The terminal side of [tex]\theta[/tex] is in the second quadrant.
In this quadrant; the secant ratio is negative.
[tex]\sec \theta=-\frac{hypotenuse}{adjacent}[/tex]
[tex]\sec \theta=-\frac{3\sqrt{5}}{3}[/tex]
[tex]\sec \theta=-\sqrt{5}[/tex]
The value of sec theta is [tex]\sec(\theta) = -\sqrt5[/tex]
How to determine the value of sec thetaFrom the diagram, we start by calculating the length of the hypotenuse (h).
So, we have:
[tex]h = \sqrt{6^2 + 3^2[/tex]
Evaluate
[tex]h = \sqrt{45[/tex]
Simplify
[tex]h = 3\sqrt{5[/tex]
The value of the secant in the second quadrant is calculated as:
[tex]\sec(\theta) = -\frac{Hypotenuse}{Adjacent}[/tex]
So, we have:
[tex]\sec(\theta) = -\frac{3\sqrt5}{3}[/tex]
Evaluate
[tex]\sec(\theta) = -\sqrt5[/tex]
Hence, the value of sec theta is [tex]\sec(\theta) = -\sqrt5[/tex]
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What’s the answer to this graph? Only if you really know please and thanks!!
Answer:
[tex]h(x)=5^x[/tex]
Step-by-step explanation:
All the graphs are growing bigger and bigger as x-values grows bigger.
This implies that the graphs represent exponential growth.
Hence their equation is in the form;
[tex]y=a^x[/tex]
The bigger the value of 'a' the faster the graph grows
We can see that h, grew faster than all the other graphs, hence 'a' should be the largest value, which is 5.
Therefore the function is :
[tex]h(x)=5^x[/tex]
Answer:
Correct choice is function [tex]h(x)=5^x[/tex]
Step-by-step explanation:
We have been given a graph of three functions f, g and h.
Now we need to find the best matching equation for the function h(x).
From graph we can see that all of the curves are increasing must faster as the move from left side to right side. That indicates they are exponential functions.
We know that if base is larger then graph will move upward much faster.
largest base from available bases is 5.
So the correct function is [tex]h(x)=5^x[/tex]
What are the odds of spinning yellow on the spinner below?
Without the specific details of the spinner's sections, it is impossible to determine the exact odds of landing on yellow. Generally, the odds are calculated as the number of yellow sections divided by the total number of sections minus the yellow sections, such as 1:7 for a spinner with one yellow and seven other sections.
Explanation:The question seems to be about calculating probabilities in different scenarios involving a spinner or balls with various colors. However, the exact description of the spinner is not provided. To calculate the odds of spinning yellow, we need the total number of sections on the spinner and the number of those sections that are yellow. Without this information, we can't provide a specific numerical answer. If we knew the spinner had a certain number of equal-sized sections, the odds of spinning yellow would be the number of yellow sections divided by the total number of sections minus the yellow sections.
If we assume there is one yellow section on the spinner, and there are a total of eight sections, then the odds of spinning yellow would be calculated as 1/(8-1), which simplifies to 1/7. Therefore, the odds of spinning yellow would be 1:7.
The odds of landing on yellow on the spinner in the image are 50%. This is because there are two equally sized sections of the spinner colored yellow, and two sections of other colors.
The probability of landing on any particular section is equal to the size of that section divided by the total size of the spinner. In this case, each of the yellow sections takes up half of the spinner, so the probability of landing on yellow is 1/2, or 50%.
It is important to note that this assumes that the spinner is spun fairly, and that each section has an equal chance of landing at the bottom. If there is any bias or if the sections are not of equal size, then the actual odds of landing on yellow will be different.
what are 3 equivalent expressions to 24x + 36y
Answer:
1. 12(2x+3y)
2. 20x+4x+30y+6y
3. 6(4x+6y)
Step-by-step explanation:
The three equivalent expression of 24x + 36y are,
1). 12(2x + 3y).
2). 6(4x + 6y)
3). 4(6x + 3y).
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given expression:
24x + 36y.
To find the equivalent expressions:
First, we will find the common factor and simplify the expression.
That means,
the common factors of 24 and 36 are 2, 3, 4, 6, 12.
We can make three expressions,
24x + 36y = 12(2x + 3y).
24x + 36y = 6(4x + 6y).
And 24x + 36y = 4(6x + 3y).
Therefore, three equivalent expressions are 12(2x + 3y), 6(4x + 6y) and 4(6x + 3y).
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I will give brainliest and 25 points if you explain how to solve this question.
Answer:
Bass = 5x = 312
Pike = 3x = 188
Step-by-step explanation:
8x = 500
x = 62.5 (But since there can't be 1/2 fish, it should be rounded)
Bass = 5x = 312
Pike = 3x = 188
Answer:
300 bass and 200 pike
Step-by-step explanation:
find the product of 2 and (3.7 × 10^-4)
Answer:
74000
Step-by-step explanation:
1. 10^-4=10000
2. 10000*3.7=37000
3. 37000*2=74000