Answer:
[tex]\frac{x^2}{16}+\frac{y^2}{25}=1[/tex]
Step-by-step explanation:
The equation of an ellipse with a center at [tex](h, k)[/tex] and vertices at [tex](h\pm a, k)[/tex] and [tex](h, k\pm b)[/tex] is given by [tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex].
Since two vertices are located at (-4, 0) and (0, 5), the other vertices must be located at (4, 0) and (0, -5).
What we know:
Center of (0, 0)From [tex](h\pm a, k)[/tex], [tex]a[/tex] must be 4From [tex](h, k\pm b)[/tex], [tex]b[/tex] must be 5Thus, we have:
[tex]\frac{(x-0)^2}{4^2}+\frac{(y-0)^2}{5^2}=1\implies \boxed{\frac{x^2}{16}+\frac{y^2}{25}=1}[/tex]
Kim bought a pair of jeans for $48 and 5 t-shirts. She spent a total of $158.00. How much did each t-shirt cost?
How do you write the equation?
Answer:
each t-shirt costed 22 dollars
48+ 5(x)=158
Step-by-step explanation:
158-48=110
110 divided by 5= 22
hope this helps!
please give brainist or give me a follow if you can<3
Let F(x) = 2x2 + x - 3 and g(x) = x - 1. f(x) g(x)
Find and state its domain.
Answers:
1) X - 1; domain is the set of all real numbers
2) (x-1)/(2x + 3) ; domain is the set of all real numbers except-(3/2)
3) 2x + 3; domain is the set of all real numbers except 1
Applying the division of functions f(x) and g(x), it is found that the quotient and the domain are given, respectively, by:
3) 2x + 3; domain is the set of all real numbers except 1.
What is the domain of a function?It is the set that contains all possible input values.
In this problem, the functions are given as follows:
f(x) = 2x² + x - 3.g(x) = x - 1.Hence the division is given by:
[tex]\frac{f(x)}{g(x)} = \frac{2x^2 + x - 3}{x - 1}[/tex]
The denominator cannot be zero, hence the domain is [tex]x \neq 1[/tex].
Considering that 2x² + x - 3 = (2x + 3)(x - 1), the function can be simplified as 2x + 3, hence option 3 is correct.
More can be learned about the domain of a function at https://brainly.com/question/10891721
#SPJ1
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
Answer:
a) 1650 m
b) 1677.05 m
Step-by-step explanation:
Hi there!
1) Determine what is required for the answers
For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.
For part B, we're asked to solve for the length of the road, or the length of AB.
2) Prove similarity
In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).
How do we know they're similar?
Angles AYX and ACB are corresponding and they both measure 90 degreesBoth triangles share angle ATherefore, the two triangles are similar because of AA~ (angle-angle similarity).
3) Solve for part A
Recall that we need to find the length of AC.
First, set up a proportion. XY corresponds to BC and AY corresponds to AC:
[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]
Plug in known values
[tex]\frac{2}{300}=\frac{11}{AC}[/tex]
Cross-multiply
[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]
Therefore, the road will rise 300 m over a horizontal distance of 1650 m.
4) Solve for part B
To find the length of AB, we can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides
Plug in 300 and 1650 as the legs (we are solving for the longest side)
[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]
Therefore, the length of the road is approximately 1677.05 m.
I hope this helps!
PLZ HURRY will give BRAIN-LY-EST and 20 points if correct
Answer:
[tex]{ \boxed{ \tt{4x + 4x \: → \: 8x}}} \\ \\ { \boxed{ \tt{3x + 5x + 8 \:→ \: 8x + 8 }}} \\ \\ { \boxed{ \tt{ - 7x + 4 + 3x \: → \: - 4x + 4}}} \\ \\ { \boxed{ \tt{4x + 4x + 4x + 4x \: → \: 16x}}}[/tex]
Answer:
4x + 4x → 8x
3x + 5x + 8 → 8x + 8
-7x + 4 + 3x → -4x + 4
4x + 4x + 4x + 4x → 16x
Step-by-step explanation:
The left side consists of a series of expressions and the right side is the list of choices to match to. This is simple math if you already know how to combine like terms. Combining like terms is combining numbers that represent the same value. Take a look at 4x + 4x for example, 4x and 4x are two numbers with the same value. Not that they both have the number 4, but that they have the same special variable. If there are two or more numbers with the same variable like x for example, combine the two, meaning you add the numbers. Just don't add the variables because clearly, the variable is an unknown number so you can't add variables. Instead, you can apply the same variable to the sum of two or more numbers. So 4x + 4x equals 8x. Do the same process again to the other 3 expressions. Also, you can't add a number with a variable to a number alone. They don't represent the same value.
3x and 5x are the same value so combine them. Now you only have 8x + 8 left as the simplified version of the expression.
-7x and 3x are the same value so combine them. Don't forget that the 7 is negative. Use a calculator if needed. Now you only have -4x + 4 as the simplified version of the expression.
Similar to 4x + 4x in the first expression, just add all of the numbers up. There isn't a number alone in this expression. 16x should be your final answer.
I hope this helps! Let me know if I am wrong. :D
Simplify -62 ÷ 12 - 2(-7).
Answer:
53/6 = 8.83
Step-by-step explanation:
2 x -7 = -14
-62 / 12 = -5.16667
-5.16667 - (-14) = 8.83333
Final answer: 8.83
I hope this helps you! :D
Answer:
use pamdas
Step-by-step explanation:
the answer I got using pemdas was 8.83
The relative frequency table below summarizes a survey about support for candidate X in an upcoming
national election. In this survey, 210 randomly selected Virginians opposed candidate X.
How many people in this survey were Californians who opposed candidate X?
Does the table show evidence of an association between being from Virginia and opposing candidate X?
Choose all answers that apply:
Answer:
D.
Step-by-step explanation:
a) no, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.
b) yes, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.
c) no, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.
d) yes, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.
The answer is D.
Step-by-step explanation:
Answer:
How many people in the survey were Californians?
- 250
Yes, because 50% of Californians support candidate X, but only 40% of all people support him.
Yes, because 62.5% of people who support candidate X and 50% of Californians do not support candidate X.
will the towns tax status change within the next 3 years ?
Today is Leilas birthday. She is 5 years old. How old is leila in months
Answer:
60
Step-by-step explanation:
There are 12 months in a year, so 5 years×12 months=60 months.
**You may wish to revise multiplication or the calendar year. I'm always happy to help
Answer:
60
Step-by-step explanation:
Answer the question.
Answer:
$19.53
Step-by-step explanation:
$20 - 0.1(20) = 20 - 2 = 18
18 + 0.085(18) = 18 + 1.53 = 19.53
if U= {1,2,3,4,5,6}, A ={1,2,3,}
B={2,3,5},and C ={4,5,6}
find (AUB)'n c
======================================================
Explanation:
A = {1,2,3}
B = {2,3,5}
A u B = {1,2,3,5}
The set A u B consists of anything in either set A or set B. This is a set union.
The complement of this is the complete opposite. So we only consider the items 4 & 6
(A u B)' = {4,6}
Note that sets AuB and (AuB)' can be unioned together to end up with the universal set U. Be sure not to mix up the universal set notation U with the union symbol 'u'
The last step is to see what sets (AuB)' and set C have in common. That would be 4 and 6 since both values are found in both sets
Therefore, (A u B)' n C = {4, 6}
The n refers to the intersection symbol.
the required time is 3 years.
mple 7: Find the compound interest of Rs 50,000 for 3 years if the rates of interest for
three years are 4 %, 5 % and 6 % p.a, respectively,
Answer:
Step-by-step explanation:
For 4%A = $56,363.59
A = P + I where
P (principal) = $50,000.00
I (interest) = $6,363.59
calculation stepFirst, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 50,000.00(1 + 0.04/12)(12)(3)
A = 50,000.00(1 + 0.003333333)(36)
A = $56,363.59
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $50,000.00 at a rate of 4% per year compounded 12 times per year over 3 years is $56,363.59.
for 5 %
A = $58,073.61
A = P + I where
P (principal) = $50,000.00
I (interest) = $8,073.61
calculation stepFirst, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 50,000.00(1 + 0.05/12)(12)(3)
A = 50,000.00(1 + 0.004166667)(36)
A = $58,073.61
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $50,000.00 at a rate of 5% per year compounded 12 times per year over 3 years is $58,073.61.
For 6 %A = $59,834.03
A = P + I where
P (principal) = $50,000.00
I (interest) = $9,834.03
calculation stepFirst, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 50,000.00(1 + 0.06/12)(12)(3)
A = 50,000.00(1 + 0.005)(36)
A = $59,834.03
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $50,000.00 at a rate of 6% per year compounded 12 times per year over 3 years is $59,834.03.
Which scatterplot shows no correlation?
On a graph, points are grouped closely together and decrease.
On a graph, points are grouped closely together to form a curve.
On a graph, points are grouped closely together and decrease.
On a graph, points are scattered all over the graph.
Answer:
4th option
Step-by-step explanation:
As there is no clear curve or increase/decrease it is safe to assume it has no correlation
Answer:
Yup, it's D. The guy above me is right.
x= -1/8 ,y= -2/5 ,z= 10/12 find the answer if x*( y* z ) = ( x* y ) * z
Answer:
a. x × (y + z) = -13/240
c. x × (y × z) = 1/24
Step-by-step explanation:
The given values of the variables are;
[tex]x = \dfrac{-1}{8} , y = \dfrac{-2}{5} \ and \ z = \dfrac{10}{12}[/tex]
a. x × (y + z) = (x × y) + (x × z), by distributive property
Plugging in the values gives;
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right)[/tex]
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \dfrac{-1}{8} \times \left (\dfrac{13}{30} \right) = \dfrac{-13}{240}[/tex]
[tex]\left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right) = \dfrac{1}{20} + \dfrac{-5}{48} = \dfrac{-13}{240}[/tex]
Therefore;
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right) = \dfrac{-13}{240}[/tex]
c. x × (y × z) = (x × y) × z
Plugging in the values for 'x', 'y', and 'z' gives;
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} \times \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) \times \left ( \dfrac{10}{12} \right) = \dfrac{1}{24}[/tex]
can someone help me? i really don’t understand
Answer:
Step-by-step explanation:
Trevor had 3/4 pound of peanut she wants to split them evenly among 4 people. How many pounds of peanuts would each person get?
pls help. will mark brainliest.
Answer:
b = -4
Step-by-step explanation:
multiply both sides by 3 to get:
4b-8 = 6b
-8 = 6b-4b
-8 = 2b
-8/2 = b
-4 = b
How many vertices does this three-dimensional shape have?
Answer:
6
Step-by-step explanation:
I may be wrong.
If I am, delete this answer.
If it's right, please mark it as the Brainliest. I would really appreciate it.
The total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.
What is Geometry?Geometry is one of the earliest areas of mathematics, along with algebra. It is concerned with spatial qualities such as figure proximity, form, size, and relative location. A geometer is a mathematics who works in the discipline of geometry.
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
In the given diagram, the upper part of the triangular pyramid has 3 corners and the lower part of the triangular pyramid has 3 corners.
Then the total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
PLEASE HELP ASAP
the graphs below have the same shape. what is the equation of the red graph?
Answer:
D
Step-by-step explanation:
I checked it on desmos and also the shift is 1 up that means subtracting from a larger number
Answer: d
Step-by-step explanation:
find the length of arc AB help plz
A staff member at UF's Wellness Center is interested in seeing if a new stress reduction program will lower employees systolic blood pressure levels. Twenty people are selected and have their blood pressure measured. Each person then participates in the stress reduction program. One month after the stress reduction program, the systolic blood pressure levels of the employees were measured again. Did the program reduce the average systolic blood pressure level? Note: Differences were taken by taking "before systolic blood pressure" minus "After blood pressure"
The 95% confidence interval was (5.6, 10.2).
A. On average, the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at the 95% confidence level
B. We are 95% confident that there is no difference in average systolic blood pressure levels before and after the stress reduction program.
C. On average, the systolic blood pressure levels after the stress reduction program were significantly higher than the systolic blood pressure levels before the stress reduction program, at the 95% confidence level.
Answer:
A. On average the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at 95% confidence level
Step-by-step explanation:
The confidence interval parameters is intended to detect if the new stress reduction program will lower the systolic blood pressure levels of employees
The difference between the the mean systolic blood pressure levels taken = The before systolic pressure - The after systolic blood pressure
The 95% confidence interval obtained = (5.6, 10.2)
Therefore, given that the values of the difference between the means are both positive, then there a difference as the confidence interval does not include zero (0), and at the 95% confidence level, the average systolic blood pressure levels before the stress reduction program are higher than the average systolic blood pressure levels after the program
9x4 + 24x3 - 27x2 + 12x
Answer:
3x(3x³ + 8x² – 9x + 4)
Step-by-step explanation:
9x4 + 24x3 - 27x2 + 12x =
9x⁴ + 24x³ – 27x² + 12x =
3(3x⁴ + 24x³ – 27x² + 12x) =
3x(3x³ + 24x² – 27x + 12).
3x³ + 24x² – 27x + 12 cannot be factored
[rational numbers].
On a biased dice the probability of getting a 6 is 4/5 the dice is rolled 500 times how many sixes would you expect to roll
Answer:
400 sixes
Step-by-step explanation:
Find how many sixes you could expect to roll by multiplying 500 by 4/5:
500(4/5)
= 400
So, you would expect to roll 400 sixes
A regular hexagon ABCDEF is shown……work out the size of angle x
Answer:
x=30
Step-by-step explanation:
Since this a regular hexagon, each angle measure is congruent.
A hexagon interior angles add to be
([tex]{6 - 2}) \times 180 = 720[/tex]
However, in the triangle, only part of angle b and angle f is in the triangle. However angle a is fully in the triangle so
Angle A=120.
So using the triangle interior theorem, angle b and f must add up to 180.
[tex]120 + x + y = 180[/tex]
However, since this is a regular hexagon, the sides are equal so this is a isoceles triangle.
Using the base isoceles triangle theorem, angle b and angle f of the triangle must be equal so
[tex]x = y[/tex]
[tex]120 + 2x = 180[/tex]
[tex]2x = 60[/tex]
[tex]x = 30[/tex]
Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices"?
three
vertices
triangle
triangle
three
vertices
Figure A
Figure B
A. Figure A
B. Figure B
SUBMIT
HELP PLZ
Answer:
I think it's A, because all triangles have 3 vertices.
Step-by-step explanation:
make x subject of the formula in y=2x+p
Answer:
(y-p)/2
Step-by-step explanation:
take p to the left side. + p becomes - p. Now divide the whole thing by 2
Answer:
[tex] x = \frac{y - p}{2} [/tex]
Step-by-step explanation:
[tex]y = 2x + p \\ y - p = 2x \\ x = \frac{y - p}{2} [/tex]
pls help me i'll give brainliest
Answer:
Step-by-step explanation:
Which polynomial is a monomial?
O A. 2p-P
O B. 6 - 2x2 - 4x2 +45
O c. 5r283A
O D. 1 - 2x + 5x
Answer:
Which polynomial is a monomial?
O A. 2p-P
O B. 6 - 2x2 - 4x2 +45
O c. 5r283A
O D. 1 - 2x + 5x
. 5r283A
cari nilai k dengan keaadaan h^2(2k/5)=32
Answer:
[tex] {h}^{2} ( \frac{2k}{5} ) = 32 \\ 2k. {h}^{2} = 160 \\ k {h}^{2} = 80[/tex]
[tex]k=\frac{80}{h²}[/tex]
(3.21 × 103)(1.13 × 105)
Answer:
39229.25
Step-by-step explanation:
Answer:
39229.25
Step-by-step explanation:
Calculator
passes through (-2, 1) and (2, -5)
Answer:
The equation of the line is:
[tex]y = -\frac{3}{2}x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope:
We have two points, (-2,1) and (2,-5). The slope is given by the change in y divied by the change in x. So
Change in y: -5 - 1 = -6
Change in x: 2 - (-2) = 2 + 4 = 4
Slope: [tex]m = \frac{-6}{4} = -\frac{3}{2}[/tex]
So
[tex]y = -\frac{3}{2}x + b[/tex]
Passes through (-2, 1)
This means that when [tex]x = -2, y = 1[/tex]. We use this to find the y-intercept. So
[tex]y = -\frac{3}{2}x + b[/tex]
[tex]1 = -\frac{3}{2}(-2) + b[/tex]
[tex]1 = 3 + b[/tex]
[tex]b = -2[/tex]
So, the equation of the line is:
[tex]y = -\frac{3}{2}x - 2[/tex]
