Answer:
F(2, 11/2)
Step-by-step explanation:
The expression:
(x-2)² = 10(y - 3)
can be rewritten in the vertex form as follows:
(x-2)² = 10y - 30
(x-2)² + 30 = 10y
1/10(x-2)² + 3 = y
General vertex form is:
y = a(x-h)² + k
then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and a = 1/10
The focus of a parabola is located ar F(h, k+p), where p = 1/(4a). Replacing into these equations:
p = 1/(4*1/10) = 5/2
F(2, 3+5/2) = F(2, 11/2)
Answer:
C is the answer
Step-by-step explanation:
I'm never wrong.
Factor completely 40xy2 − 36x2y. (4 points)
4xy(9y − 10x)
4xy(10y − 9x)
Prime
4xy(10x − 9y)
Answer:
4xy(10y - 9x).
Step-by-step explanation:
40xy2 − 36x2y
The Greatest Common Factor (GCF) of 40 and 36 is 4.
GCF of x and x^2 is x,
GCF of y^2 and t is y.
So GCF = 4xy.
and the factors are:
4xy(10y - 9x).
This is urgent can someone please help.......
Quentin typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below?
A)73 yards
B)20 yards
C)53 yards
D)126 yards
A cone shaped tepee has a radius of 4 feet and a slant of 7 feet. If Joe is six feet tall, determine whether Joe is shorter or taller than the height of the tepee.
A)Joe is shorter than the tepee.
B)Joe is taller than the tepee.
C)Joe is the same height as the tepee.
D)There is not enough information to determine if Joe is shorter or taller than the tepee.
Which of the following could NOT be the side lengths of a right triangle?
A)3 - 4- 5
B)5 - 12 - 13
C)8 - 9 - 10
D)9 - 40 - 41
Answers are c, a, and c
Answer:
1. A
2.C
3.C
Step-by-step explanation:
The figure below is made of two identical triangular prisms. What is the volume of the figure?
Answer:
300 in³
Step-by-step explanation:
The volume (V) of a triangular prism is
V = Al ( A is the area of the triangular face and l is the length )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 5 and h = 6 , thus
A = [tex]\frac{1}{2}[/tex] × 5 × 6 = 15 in², so
V = 15 × 10 = 150 in³
Since the triangular prisms are identical, then volume of figure is
V = 2 × 150 in³ = 300 in³
What is the probability that a single card chosen from a complete deck of cards is not an ace or a King? ( with explanation )
Answer:
84.6%
Step-by-step explanation:
There ae 52 cards in a standard deck there are 4 aces and 4 kings in each deck
therefore
52-8 =44, 44 cards that are not kings or aces
therefore the probability is
44/52 = 0.846153846*100 = 84.615%
There the chances are 44/52 or 84.6%
Answer:
11/13 or 84.62%
Step-by-step explanation:
There are 52 cards in a standard deck. There are 4 aces and 4 kings, 8 total. Subtract 8 from 52 to find the amount of cards that are not aces or kings:
52 - 8 = 44
Therefore, the probability of choosing a card that is not an ace or a king is 44/52, which can be simplified to 11/13. This can also be expressed as a percentage: approximately 84.62%.
Hope this helps! Please feel free to ask me any questions :)
help please, thank you
Answer:
.39-.23
=.16
that the answer
A line passes through (0, -1.8) and has a slope of 7. Write an
equation of the line.
1. y=7x-12.6 2. y=7x+12.6 3. y=7x-1.8 4. y=x+-1.8
Answer:
equation of a line= y-y¹=m(x-x¹)
y--1.8=7(x-0)
y+1.8=7x-0
y+1.8=7x
y=7x+1.8
Manuel has a collection of baseball cards. There are 10 Tiger players, 4 Red Soxs, 6 Cubs, and 5
Yankees. If he shuffles the cards what is the probability that the first card he picks is a Tigers
player?
Answer: 2/5
Step-by-step explanation:
10 + 4 + 6 +5 = 25
10/25
simplify: 2/5
According to the water surface area rule, a fish tank can be
stocked with one inch of fish for each twelve square inches of
surface area. The fish that you are interested in putting in your
fish tank are each 2 inches. Your fish tank has a surface area of
576 square inches. According to the water surface area rule,
what is the maximum number of fish you can put in your tank?
Answer:
24 fishes
Step-by-step explanation:
If for 1 inch of fish corresponds 12 square inches of surface area, then for 2 inches correspond 24 square inches. Given that each fish is 2 inches, then for 1 fish 24 square inches of surface area is needed. To know how many fish you can put in your tank, we need to solve the following proportion:
1 fish / x fish = 24 square inches / 576 square inches
x = 576/24
x = 24 fishes
Write the set using roster notation: The set of even natural numbers less than 10.
Answer:
A={2,4,6,8}
Let the set be A
Even numbers are those numbers which can be divided by 2.
hope it helps
Good luck on your assignment
Answer:
A={2,4,6,8}Step-by-step explanation:
Let the set be A
even numbers means the numbers can be divide by 2
but they said that it has to be less than 10
Now, let's create the set
[tex]a = {2 \: \: 4 \: \: 6 \: \: 8 \: \: } [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
How are the following three expressions different from each other, if needed they are? Do not just state the value of each but explain what may be same or different.
That what my teacher said I’m confused plz help
Thank u so much to the people who helped me answer it.
Answer:
2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it
1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.
Step-by-step explanation:
We are given the three expressions different from each other
We are supposed to find what may be same or different.
1) [tex](-2)^2[/tex]
[tex]\Rightarrow (-1)^2 \times (2)^2\\\Rightarrow -1 \times -1 \times 2 \times 2 \\\Rightarrow 4[/tex]
2)[tex]-2^2[/tex]
[tex]\Rightarrow -1 \times 2^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]
3)[tex]-(2)^2[/tex]
[tex]\Rightarrow -1 \times (2)^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]
Now 2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it
1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.
what is 5x+ x - 7-8 + 365 solve it plz
Answer:
x = -58.3
Step-by-step explanation:
6x - 15 + 365 - simplifly terms
6x + 350 = set to equal sides
6x = -350
x = -58.3
Which of the following are characteristics of the graph of the quadratic parent
function?
Check all that apply.
O A. It has a slope of 1.
O B. It goes through the origin.
C. It is a parabola.
D. It is in quadrants I and II.
Answer:
B, C, and D
Step-by-step explanation:
of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.
The graph of the quadratic parent function is:
A. It is a parabola.
B. It is in quadrants I and II.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
To check the characteristics of the quadratic parent function,
let us take the basic quadratic function : y = x²
Below is a graph for this parent quadratic function:
Currently, as shown on the graph below:
Basic parabola, that is. Moreover, the quadratic function's graphs typically have the shape of a parabola.
The graph is located in quadrants I and II.
So. These can only be the features of the quadratic parent function's graph.
Learn more about Parabola here:
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Which is the approximate solution for the system of equations
8x-10y=-28 and 9x+10y=-16?
A(-2.3, 0.5)
B(-2.5, 1)
C(-2.3, 0.5)
D(-2.5, -1)
Step-by-step explanation:
work is shown and pictured
What is the difference between (8y-7) and (1-3y)
Hint: Difference is another way to say subtraction.
PLEASE HELP ITS TIMED!!
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points?
A. 2
B. 3
C. 6
D. 9
Answer:
C. 6
Step-by-step explanation:
Answer:
A. 2
Step-by-step explanation:
slope formula is : [tex]\frac{y2-y1}{x2-x1}[/tex] or the difference in y-coordinates in 2 points divided by the difference in x-coordinates in 2 points.
in this question, they have given you both the difference in x and difference in y.
therefore this question is saying : [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{6}{3}[/tex]
[tex]\frac{6}{3}[/tex]= 2
therefore, the correct slope value is A. 2
(5ab-9a-4) - (-4ab + 5)
Answer:
9ab - 9a +1
Step-by-step explanation:
first, we can distribute the negative sign to the second set of parentheses.
-(-4ab + 5) becomes + 4ab - 5
now let's put the values in (5ab-9a-4) side by side with the corresponding values in + 4ab - 5
5ab + 4ab - 9a - 4 - 5
= 9ab - 9a - 9, because 5ab + 4ab = 9ab, -9a is alone, and -4 - 5 = -9.
HURRY HELP PLEASE THANKS
Solve the equation. Don't forget to first simplify each side of the equation, if possible. Check each solution.
[tex]\frac{2}{3}x+1=-\frac{1}{3}x+9[/tex]
Answer:
x = 8
Step-by-step explanation:
Add [tex]\frac{1}{3}x[/tex] to both sides.
x + 1 = 9
Subtract one on both sides.
x = 8
Answer:
x = 8
Step-by-step explanation:
2/3x + 1 = -1/3x + 9
x + 1 = 9
x = 8
Triangle XYZ has vertices X(2,4), Y(3,4) and Z(3,8). Suppose you reflect this across the y-axis, then dilate it with a scale factor of 2 with the origin as the center of dilation. What are the coordinates of the resulting triangle X″Y″Z″? answers: A) X″(–4,8), Y″(–6,8), Z″(–6,16) B) X″(2,–4), Y″(3,–4), Z″(3,–8) C) X″(–2,4), Y″(–3,4), Z″(–3,8) D) X″(4,–8), Y″(6,–8), Z″(6,–16)
Answer:
X'' (-4, 8)
Y'' (-6, 8)
Z'' (-6, 16)
Step-by-step explanation:
The rule for reflecting across the y-axis is (x, y) -> (-x, y)
When you dilate by a scale factor of 2 about the origin, multiply each coordinate point by 2.
X (2, 4) -> (-2, 4) -> (-4, 8)
Y (3, 4) -> (-3, 4) -> (-6, 8)
Z ( 3, 8) -> (-3, 8) -> (-6, 16)
Walter pays $2.53 to ship a package that weighs 5.5 ounces. Which is the cost to ship 1 ounce?
__________________________________
Solution,
Cost of 5.5 ounces =$ 2.53
Cost of 1 ounce= 2.53/5.5
=$0.46
So the answer is $ 0.46
Hope it helps
Good luck on your assignment
_________________________________
A same side interior angle of two parallel lines is three times the other same side interior angle. Find the measures of these two angles.
Answer: The angles are 135° and 45°.
Step-by-step explanation:
In this situation, we have two parallel lines that are cut by another line, and the interior angles are the ones created in between the parallel lines and the third line.
If both angles are on the same side, then we must have that the sum of the angles adds up to 180°.
If the angles are A1 and A2 we have:
A1 + A2 = 180°
and, we also know that A1 = 3*A2, we can replace it in the previous equation and get:
3*A2 + A2 = 180°
4*A2 = 180°
A2 = 180°/4 = 45°
then A1 = 3*45° = 135°
The angles are 135° and 45°.
a right triangle has a leg of 3 feet and hypotenuse of 4 feet. what is the length of the other leg? enter your answer, as a decimal rounded to the nearest tenth, in the box?
Answer: 2.6
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9 + b^2 = 16
b^2 = 7
b = 2.6
Answer:
√7 = 2.6
Step-by-step explanation:
a²+b²=c²
9+b²=16
b²=7
what is the correct expanded form and value of (One-fifth) Superscript 4?
A. 1/5+1/5+1/5+1/5=4/5
B. 1/5 x 1/5 x 1/5 x 1/5= 1/625
C.1+1+1+1/5 x 4 = 4/20
D.1/5x4=4/5
Answer:
B, 1/5*1/5*1/5*1/5=1/625
Answer:
B.
Step-by-step explanation:
because furries are alwasy right
Minnie wants to know if the number of words on a page in her planetary science book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book. Mean Median Mean Absolute Deviation Planetary science 48.9 41 9.2 Math 34.5 44 1.9 She claims that because the mean number of words on each page in the planetary science book is greater than the mean number of words on each page in the math book, the planetary science book has more words per page. Based on the data, is this a valid inference? No, because there is a lot of variability in the planetary science book data. Yes, because there is a lot of variability in the planetary science book data. Yes, because the mean is larger in the planetary science book. No, because the mean is larger in the planetary science book.
Answer:
I think it is
No, because there is a lot of variability in the geography book data
hope this helps
-lvr
No, Minnie is incorrect, because there is a lot of variability in the Planetary science book data.
Is this a valid inference?We know that, for 25 samples of each book, we have:
Book mean median MAD
Planetary science 48.9 41 9.2
Math 34.5 44 1.9
The claim, is that "the Planetary science book as more words per page"
Notice that even if we subtract the mean standard deviation from the mean in the Planetary science case:
48.9 - 9.2 = 39.7
And we add these in the math case:
34.5 + 1.9 = 36.4
So, even considering the variability, the Planetary science book has more words per page.
The value in the Planetary science case is still larger, so, only with this, we conclude that her claim is not valid.
If you want to learn more about means;
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Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.
Answer:
Step-by-step explanation:
First derivative
[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]
Second derivative
[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]
Third derivative
[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]
Fourth derivative
[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]
Which of the following is the simplified form of 7sqrtx 7sqrtx 7sqrtx
Answer:
First option is the correct answer
[tex] {x}^{ \frac{3}{7} } [/tex]
Step-by-step explanation:
[tex] \sqrt[7]{x} \times \sqrt[7]{x} \times \sqrt[7]{x} \\ \\ = \sqrt[7]{x\times x\times x } \\ \\ = \sqrt[7]{ {x}^{3} } \\ \\ = {x}^{ \frac{3}{7} } [/tex]
Solve for x.
-3+85-5=-8
A. -2.
B.-1
C.-3/4
D.0
Answer:
-2
Step-by-step explanation:
-3+8x-5=-8
8x = -16
x = -2
Answer:
Undefined
Step-by-step explanation:
-3+8x-5=-8
+8 on both sides
8x = 0
Since you cant divide a number by 0, the answer is undefined
I need help asap pls help me
Answer:
36 ft
Step-by-step explanation:
The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:
[tex]x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26[/tex]
Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!
Simplify the following expression.
11 - X 7
Answer:
11-7x its already simplified
by-step explanation:
multiply
To compute a product; to perform a multiplication.
Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1
Answer:
[f(2) - f(-1)]/3
Step-by-step explanation:
The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:
rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3
To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.
Answer:
7 over 12
Step-by-step explanation:
The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:
rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3
To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.