Answer:
the answer for your question is 80pi
Use substitution to compose y=6u^2 and u=5x−1. Enter your answer as an equation, and simplify your answer as much as possible.
Answer:
y = 150x^2 -60x +6
Step-by-step explanation:
Do what the problem statement tells you: substitute for u.
y = 6u^2
y = 6(5x -1)^2 . . . . . . . . . . substitute 5x-1 for u
y = 6(25x^2 -10x +1) . . . . expand the square
y = 150x^2 -60x +6 . . . use the distributive property
The image of the point (2, -1) under a translation is (4,2). Find the coordinates of the image of the point (-2,9) under the same translation.
Answer:
The coordinates of the image of the point (6,6) under the same translation is: (9, 2)
Hence, option C is correct.
Step-by-step explanation:
The image of the point (2, 1) under a translation is (5, -3).
It means when we horizontally move 3 units to the RIGHT i.e. adding 3 units to the x-coordinate and vertically move 4 units DOWN i.e. subtracting 4 units from the y-coordinate of the original point (2, 1), we get the coordinates of the image (5, -3).
Thus,
The rule of translation can be formulated such as:
(x, y) → (x + 3, y - 4)
(2, 1) → (2 + 3, 1 - 4) → (5, -3)
Thus,
Under the same rule of translation, we can determine the coordinates of the image of the point (6,6):
(x, y) → (x + 3, y - 4)
(6, 6) → (6 + 3, 6 - 4) → (9, 2)
Therefore, the coordinates of the image of the point (6,6) under the same translation is: (9, 2)
Hence, option C is correct.
Laws and phenomena of nature, naturally occurring substances, abstract mathematical formulas, and ideas are eligible to be patented. True False
Answer:
False
Step-by-step explanation:
Laws of Nature. Laws of nature, natural phenomena, and naturally-occurring products are not patentable.
the relations or order of phenomena in the world that holds, under a stipulated set of conditions, either universally or in a stated proportion of instances. (The notion is distinct from that of a natural law—i.e., a law of right or justice supposedly derived from nature.)
If a three-dimensional figure has a square base and tapers to a point on the other side, is that figure a cone? Explain.
Check the picture below.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=880(0.99)^x
y=880(0.99)
x
Answer:
The change represents exponential decay.
Step-by-step explanation:
0.99 is less than 1, so its decay.
What is the value of
3^2/3^4?
Answer:
that's 3 -² which is -9 ......
3^2/3^4
3^2 = 9
3 x 3 = 9
3 x 3 x 3 x 3
9 x 9 = 81
3 x 3 = 9 x 3 = 27 x 3 = 81
3^4 = 81
9/81 = 9
The answer is 9.Let me know if this is the correct answer. :)
Dilate the rectangle below by a scale factor of 2. If the current side lengths are 15 and 8, what are the side lengths on the new dilated rectangle?
In your answer, give the new side lengths for the dilated image and explain how you calculated them.
Answer:
AB and CD would be 30
AC and BD would be 16
Step-by-step explanation:
The scale factor is what you multiply the sides by. Dilate means wider or larger so you multiply each side by the scale factor of 2 to get the higher scaled rectangle.
The side lengths on the new dilated rectangle will be 30cm and 16cm
How to calculate dilationGiven the following parameters
Length = 8cmBreadth = 15cmIf the length and breadth are dilated by a factor of 2, hence the new dimansion will be:
New length = 2(15) =30cm
New width =2(8) = 16cm
Hence the side lengths on the new dilated rectangle will be 30cm and 16cm
Leaen more on dilation here: https://brainly.com/question/3457976
If 20% of some value is 400, what is the value and does that value represent the part or the whole?
A. The value is 80 and it represents the part.
B. The value is 80 and it represents the whole.
C. The value is 2000 and it represents the part.
D. The value is 2000 and it represents the whole.
1. Observe problem
2. Crossout way
A is not
B is not
C is not
D is
So, D is the AnswerAnswer:
If 20% of some value is 400 in the missing values 80 20% x 400 is 80
HOPE IT HELPS, BE SAFE! :)
can someone step by step explain the answer please
Answer: z = [tex]\sqrt{10}[/tex]
Step-by-step explanation:
To find z, you must set up a proportion to solve.
To find the altitude of a special right triangle, the formula is:
[tex]\frac{a}{x} =\frac{x}{b}[/tex]
You can use 5 as a and 2 as b to complete the proportion:
[tex]\frac{5}{z} =\frac{z}{2}[/tex]
Next, to solve:
Step 1: Cross-multiply.
[tex]\frac{5}{z} =\frac{z}{2}[/tex]
(5)*(2) = z*z
10 = z²
Step 2: Take square root.
10 = z²
√10 = z
I hope this helps!
Please help me this is an emergency question ASAP!!!
Answer:
The side length for A and B is 30 and the side length for B and D is 16, in the new dilated rectangle. The reason we multiplied by 2 is because 2 is greater than 1, and this means the image is an enlargement.
Step-by-step explanation:
Dilation is where the polygon grows or shrinks but keeps the same overall shape. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image. If the scale factor is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement. This means that the image, A’, is twice as large as the pre-image A. This means that the image, A’, is twice as large as the pre-image A.
Since 2 is greater than 1, the image is an enlargement
So we do 2*15 and 2 * 8
And we get
30 and 16
The side length for A and B is 30 and the side length for B and D is 16.
The diagram shows a cubiod of dimensions 10cm×8cm×5cm.Work out the total surface area of the cubiod.
Answer:
340cm²
Step-by-step explanation:
u multipley the values by 2
Which expression is equivalent to (StartFraction 4 Superscript five-fourths Baseline time 4 Superscript one-fourth Baseline Over 4 Superscript one-half baseline EndFraction) Superscript one-half?.
The expression is equivalent to 4 Superscript five-fourths Baseline time 4 Superscript one-fourth Baseline Over 4 Superscript one-half baseline is,
[tex]x=2[/tex]
What is equivalent expression?Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.
Given information-
The expression given in the problem is,
[tex]\left((4^{\dfrac{5}{4}}\times4^{\dfrac{1}{4}}\div 4^{\dfrac{1}{2}} \right)^{\frac{1}{2}}[/tex]
Let the result of the given expression is x. Rewrite the given expression as,
[tex]x=\left(\dfrac{4^{\dfrac{5}{4}}\times4^{\dfrac{1}{4}}}{4^{\dfrac{1}{2}}} \right)^{\frac{1}{2}}[/tex]
When the two number is multiplies with the same base, the powers of the number is added in result. Thus,
[tex]x=\left(\dfrac{4^{(\dfrac{5}{4}+\dfrac{1}{4})}}{4^{\dfrac{1}{2}}} \right)^{\frac{1}{2}}\\x=\left(\dfrac{4^{(\dfrac{3}{2})}}{4^{\dfrac{1}{2}}} \right)^{\frac{1}{2}}[/tex]
When the two number is divided with the same base, the powers of the number is subtracted in result. Thus,
[tex]x=\left(4^{\dfrac{3}{2}-\dfrac{1}{2}} \right)^{\frac{1}{2}}[/tex]
[tex]x=\left(4^1} \right)^{\frac{1}{2}}\\x=\left(4} \right)^{\frac{1}{2}}\\x=(2^2)^{\dfrac{1}{2}} \\x=2[/tex]
Thus the expression is equivalent to 4 Superscript five-fourths Baseline time 4 Superscript one-fourth Baseline Over 4 Superscript one-half baseline is,
[tex]x=2[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
Answer:
C = 2 on edge
Step-by-step explanation:
Which ordered pair is a solution of y = x – 4?
(3, –7)
(3, 7)
(–3, 7)
(–3, –7)
One number is 20 more than two times another. Find the two numbers if their sum is 110.
Answer:
30, 80
Step-by-step explanation:
Let the smaller number be [tex]x[/tex]. Then, the other number is [tex]2x+20[/tex]. The sum is 110, so
[tex]x+(2x+20)=110.[/tex]
Simplifying gives
[tex]3x+20=110[/tex].
Subtracting 20 from both sides gives
[tex]3x=90[/tex].
Dividing by 3 gives
[tex]x=30[/tex].
The smaller number is 30 and the larger number is 2(30)+20=80.
Q2 There are 50 boys and 75 girls in a school. Find the ratio of boys to girls and express the following in their simplest form.
Answer:
50/75
simplest form: 2/3
Step-by-step explanation:
The Spinning Square Game is a game at the Kid Zone. The game
consists of spinning the square spinner. If a player takes a spin and the
spinner lands on B, the player wins a prize. If the spinner lands on A,
the player does not receive a prize.
A
Y.
B
6. Predict each probability.
a. P(A) =
b. P(B) =
Answer:
im thinking its what your heart desiers
Step-by-step explanation:
i need help please thanks
Answer:
4=123°
4=8(corresponding angles,a//b)
123°=7z+11
123-11=7z
112=7z
112/7=7z/7
16=z
it's not giving me full marks and i dont know why. anyone know what to do?
Answer:
uh show more work i guess
Step-by-step explanation:
srry if this did not answer ur question
solve for x. Round to the nearest tenth,if necessary
Answer:
x = 83.7 units
Step-by-step explanation:
given adjacent: 56, given angle: 48°, asked to find hypotenuse, x?Using cosine rule:
→ adjacent/hypotenuse = cos(∅)
→ 56/hypotenuse = cos(48)
→ hypotenuse = 56/cos(48)
→ hypotenuse = 83.7 units
Answer:
83.7
Step-by-step explanation:
We can solve this using SOHCAHTOA:
RQ is adjacent to angle Q and x is the hypotenuse, so we must use the cosine function.
[tex]cosQ = \frac{RQ}{SQ}\\ cos(48) = \frac{56}{x}\\ x = \frac{56}{cos(48)}\\ x = 83.7[/tex]
Two less than the product of 9 and a number is equal to 4.
Answer:
See, that doesn't make sense.
First of all, 4 is the only number equal to 4. Sp, it'd be 9+4 = 13
Then I'm assuming you're also subtracting 4 from 13, so the answer would be 9.
Hope this helped, have a nice day.
I am confused on this question
============================================
Explanation:
x = number of years
y = number of grills sold
The equation we'll use is the exponential equation [tex]y = 3300(1.06)^x[/tex]
The 3300 of course is the initial amount sold. The 1.06 as the base indicates that the sales increase by 6% each year. Think of it the 1.06 as 1+0.06 = 100% + 6%
If we plugged x = 0 into that equation, then we get
[tex]y = 3300(1.06)^x = 3300(1.06)^0 = 3300[/tex]
which helps confirm the correct equation.
----------------
Now plug in x = 6 to find the sales for year 6.
[tex]y = 3300(1.06)^x = 3300(1.06)^6 \approx 4681.11 \approx 4681[/tex]
The projected sales for year 6 are about 4681 grills. This is an estimate based on the assumption that the sales will increase by 6% each year. Of course, the reality is that things aren't always so simple like this (but it should give a fairly good idea of what's going on).
The probability of winning a certain game is 0.5. If at least 70 percent of the games in a series of games are won, the player wins a prize. If the possible choices for n are n
The equation that allows determining the probability that the player wins the prize after n games is [tex]0.35^n[/tex] = Probability. The player should choose n = 10.
The simple definition of probability is the likelihood that an individual event will occur. It can be discussed the probabilities of distant outcomes, or how probable they are, whenever we're skeptical of how an occurrence will turn out. Statistics refers to the study of events subject to probability.
First, solve the following equation to find the likelihood of the player winning the prize after n games given that the probability of winning a specific game is 0.5 and that the player wins a prize if at least 70[tex]\%[/tex] of the games in a series are won.
[tex]Probability = 0.5^n \times 0.70[/tex]
[tex]Probability = 0.35^n[/tex]
It is evident here that the larger the value of n, the lesser the chances to win.
For example, if there were five games played, the equation would be as follows:
[tex]0.35^5 = 0.005[/tex]
So. the value of n chosen by the player should be 10.
Learn more about Probability here:
#SPJ4
The complete question is as follows:
The probability of winning a certain game is 0.5. If at least 70 percent of the games in a series of n games are won, the player wins a prize. If the possible choices for n are n = 10, n = 20, and n = 100.
Which value of n should the player choose in order to maximize the probability of winning a prize?
A recipe uses 5 cups of water for
every 3 cups of flour?
Answer:
There's no context for a conclusion.
Step-by-step explanation:
Comment when you've edited the question.
Booker's father sells computer software and
earns a 4.25% commission on every
software package he sells. How much
commission would he earn on a software
package that sold for $15,725? Round to the
nearest cent.
Answer:
The commission is $668
Step-by-step explanation:
PLS HELP!!!!!!!!
4 4/12 - 2 11/12
A. 2 5/12
B. 2 7/12
C. 1 5/12
D. 1 7/12
Answer:
2 7/12 B
Step-by-step explanation:
Using the slope formula, find the slope of the line through the points (0,0)and(5,15)
Answer:
y=3x
Step-by-step explanation:
hope this helps!
Help !! its A math question If an equation is written in standard form, which method can you ALWAYS use to solve the quadratic equation?
Factoring
Isolate the Square
Quadratic Formula
The method can you ALWAYS use to solve the quadratic equation will be the Quadratic Formula method. Then the correct option is C.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
A math question If an equation is written in standard form.
The factorization method sometimes gets difficult from the big number and in the case of the complex root. So, in that case, we use other methods.
In the Isolate the Square, we can find the roots of the equation. But the formula is also derived by this method. So, we do not even prefer this, method.
In this Quadratic Formula method, the formula is derived from the above method which is to Isolate the Square. Then this can be used always.
The method can you ALWAYS use to solve the quadratic equation will be the Quadratic Formula method. Then the correct option is C.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
#SPJ6
5. Ramon's summer reading list has five books on it. Ramon has read 3% of the books on his
reading list. How much does Ramon still have to read?
Answer:
4.85 still to read 5 - 3% = 4.85
choose two answers for this problem pls
Eleven more than 5 times a number is 31. What is the number?
Answer:
The number is 4.
Step-by-step explanation:
Let the number be x,
11 + 5x = 31
or, 5x = 31 - 11
or, 5x = 20
or, x = 20/5
so, x = 4