Answer:
The coordinates of the center of the hyperbola are (1,-3)
Step-by-step explanation:
Equation of a hyperbola:
The equation of a hyperbola with center [tex](x_0,y_0)[/tex] is given by:
[tex]\frac{(x - x_0)^2}{a^2} - \frac{(y - y_0)^2}{b^2} = 1[/tex]
In this question, we have that:
[tex]-x_0 = -1 \rightarrow x_0 = 1[/tex]
[tex]-y_0 = 3 \rightarrow y_0 = -3[/tex]
The coordinates of the center of the hyperbola are (1,-3)
solve y=f(x) for x then find the input when the output is 6
f(x)= 6x^2
x = 1
So to figure this out we can readjust the equation to make it easier to solve
[tex]f(x) = 6x^2[/tex] is equal to [tex]6x^2 = 6[/tex]
From here we can simplify to get our answer!
[tex](6 / 6)x^2 = (6 / 6)\\x^2 = 1\\x = \sqrt{1}\\x = 1[/tex]
what type of triangle is this
Answer:
acute scalene triangles
Step-by-step explanation:
Which of the following is an equivalent expression to x2 + 6x +11?
Answer:
Step-by-step explanation:
(x + 3)^2 + 2
= [tex]x^2+6x+9+2 = x^2+6x+11[/tex]
Help pls
••••••••••••••••
I'm so late sksksks
Answer:
1395 ft²
Step-by-step explanation:
The total area of the green surfaces
= 15² × 5
= 1125 ft²
The area of each triangular surfaces
= 15 × 9 ÷ 2
= 67.5 ft²
The total area of triangular surfaces
= 67.5 × 4
= 270 ft²
The total area of the figure
= 1125 + 270
= 1395 ft²
Find the value of x to the nearest tenth.
7.8
4.7
8.4
5.2
“No scam Links, if you send me a link K¡ll Y0URSELF PLS”
Answer:
this isn't an answer but i have to say that 'm laughing at the fact that your telling someone to kts
Step-by-step explanation:
question uploaded above. please help me
Answer:
(2/3) ^-5
Step-by-step explanation:
yes
The negative integers greater than or equal to -12
Solve: 18^(x^(2)+4x+4)=18^(9x+18)
x = -2
x = 7
x = –2 and x = 7
no solution
Is this the problem?
[tex]18x^{2+4+4} = 18^{9x+18}[/tex]
Answer
The Answer is C
x=-2 and x=7
Pleasssssssssssssssssssssssse help ASAP
Answer:
Yellow = 18 spools of ribbon
Blue = 15 spools of ribbon
Bobby will have 3 more spools of yellow ribbon.
dominic is buying candy by the pound for a party. for every 10 pounds of candy he buys, he pay $12. What is the cost of the candy, per pound, for the candy?
Answer:
12$
Step-by-step explanation:
Answer:
$1.20 per pound
Step-by-step explanation:
The reason for this answer is because you divide 10 by 10 so its 1 pound and whatever you do to the bottom you do to the top so you divide 12 by 10 which equals 1.2 aka $1.20
Need help asappppp please
Answer:
It would be 1/4
Step-by-step explanation:
3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.
Answer:
D) There are two pairs of opposite parallel sides.
Step-by-step explanation:
A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.
find the accumulated value when $1000.00 is invested for 5 years at 6% annual interest rate compounded quarterly
Answer:
The amount is $1346.86 and the interest is $346.86.
Step-by-step explanation:
To start, use the formula A = P(1+[tex]\frac{r}{n}[/tex])ⁿ°ᵇ [In this case b = time in years]
So, P = $1000, r = 6$, n = 4 and B = 5 years
After plugging it in you get,
A = 1000(1+[tex]\frac{.06}{4}[/tex])⁴°⁵
A = 1000 x 1.015^20
A = 1000 x 1.346855
A = 1346.86
To find the interest, use the formula A= P + I; Since A = 1346.86 and P = 1000 you get:
1346.86 = 1000 + I
I = 1346.86 - 1000
I = 346.86
Then you're finished! Hope this helped!
Brainliest would be appreciated! :)
What is the answer I can’t seem to figure out this one
Answer:
64x^2 + 40x + 25.
Step-by-step explanation:
a clock chimes every 20mins
a light flashes every 8 mins
the clock chimes and the light flashes together at 8:00
how many times between 8:01 and 12:30 will the clock chime and the light flash together?
show your working (5marks)
Answer: 6 times
Step-by-step explanation:
it is a lowest common multiple question. So we list the multiples
20 8
40 16
60 24
80 32
40
40 is our lowest common multiple. Which means every 40 minutes they flash and chime together.
so if we add 40 minutes onto 08:00 we get 08:40 and if we add it again we get 09:20 and again we get 10:00 and again we get 10:40 and again we get 11:20 and again we get 12:00. We have to stop here as if we add 40 minutes again we will go over the given time of 12:30. If we count how many times it was added. this adds to 6. therefore the answer is 6.
hope this helped.
The clock will chime and the light flashes together 6 times.
How many times the clock will chime and light flash together?The Least Common Multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.It is the lowest common multiple question. So we list the multiple
20 8
40 16
60 24
80 32
40
40 is our lowest common multiple. This means every 40 minutes they flash and chime together.
so if we add 40 minutes onto 08:00 we get 08:40 and if we add it again we get 09:20 and again we get 10:00
and again we get 10:40 and again we get 11:20 and again we get 12:00. We have to stop here as if we add 40 minutes again we will go over the given time of 12:30.
If we count how many times it was added. this adds to 6. therefore the answer is 6.
Therefore the clock will chime and the light flashes together 6 times.
To know more about LCM follow
https://brainly.com/question/233244
#SPJ2
what is:
k/5 + 2.5 = .5?
Answer:
k = -10
Step-by-step explanation:
k/5 + 2.5 = 0.5
k/5 = -2
k = -10
Is 118.5 bigger than 79?
Answer:
yes
Step-by-step explanation:
ahhh helppp i’m almost done with this
Answer:41 m
Step-by-step explanation:
Lets use the Pythagoras thermos to solve
40^2+9^2=c^2
1600+81=c^2
1681=c^2
41=c
The value of the hypotenuse is 41
I see you already attempted this question and got it right, Good job!
Answer:
41
Step-by-step explanation:
Use the Pythagorean theorem to sovle this problem. The Pythagorean theorem states the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.
Substitute in the given values and solve for the unknown,
[tex](9)^2 + (40)^2 = c^2\\\\81 + 1600 = c^2\\\\1681 = c^2\\\\41 = c[/tex]
please solve thisssssszzzszzsszzssss
Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft. How many centimeters in the image are used to show 1 foot of the sculpture?
Answer:
Step-by-step explanation:
Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft.
To Find :
How many centimetres in the image are used to show 1 foot of the sculpture.
Solution :
Ratio of enlargement is :
Let, enlarged size of 1 foot required x cm of image.
Therefore, 1.6 cm of image is required.
Hence, this is the required solution.
Cherries cost $4.35 per pound and onions cost $0.98 per pound. Lacey has $21.45 to spend. How many pounds of cherries can Lacey afford if she has to buy 3 pounds of onions?
Pre-Test
Active
1
2
3
4
10
The quotient of (x4 + 5x - 3x – 15) and a polynomial is (x3 - 3). What is the polynomial?
x? + 5x6 - 6x4 - 30x3 + 9x + 45
x-5
x + 5
x7 + 5x + 6x4 + 30x3 + 9x + 45
Answer:
x5
Step-by-step explanation:
Answer: C.
Step-by-step explanation:
EDGE 2023
If P = (3, 1) and Q = (-3, -7), find The distance PO
Answer:
10 units
Step-by-step explanation:
Given data
P = (3, 1) and Q = (-3, -7)
x1=3
y1=1
x2= -3
y2= -7
The expression for the distance between two coordinate is
d=√((x_2-x_1)²+(y_2-y_1)²)
Substitute
d=√((-3-3)²+(-7-1)²)
d=√((-6)²+(-8)²)
d=√36+64
d=√100
d=10 units
Hence the distance is 10 units
Write an equation in standard form of a line that travels through
the points (5,2) and (-3, -14).
-16 I did the calculations and it should be right
20 POINTS!! PLEASE HELP! WILL GIVE BRAINLIEST!!
Answer:
d i think
Step-by-step explanation:
What type of dilation occurs with a scale factor of 3/2?
Answer:
A figure is reflected in two intersecting lines that form an angle of 40°
A bag of skittles contains 18 yellow, 12 green, 20 red, 10 orange, and 14 purple
skittles. If one skittle is drawn at random, what is the
P( purple | color name with six letters )
===========================================================
Explanation:
The vertical bar is a shorthand way of saying "Given".
Writing P(A | B) means "probability of A given B"
In this case, we are given that "color name with six letters", so we are 100% certain that whatever was picked has six letters in the color name. That rules out green (5 letters) and red (3 letters). We'll ignore these colors entirely.
Instead we focus on yellow, orange, and purple.
Add up the frequencies for these colors to get: 18 yellow + 10 orange + 14 purple = 42 total
Of that total, there are 14 purple, so....
14/42 = (1*14)/(3*14) = 1/3
represents the probability we're after.
There's a 1 in 3 chance of getting a purple skittle if we are told, or we know 100%, that whatever color we picked has 6 letters in the name.
Side note: 1/3 = 0.333 = 33.3% approximately.
50 points) please help! no links, brainliest, extra points.
I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.
Consider the two box plots below.
Which of the following statements is true?
A.
The median of box plot A is greater than the median of box plot B.
B.
The interquartile range of box plot A is greater than the interquartile range of box plot B.
C.
Both the box plots A and B have the same median.
D.
The median of box plot B is greater than the median of box plot A.
Answer:
D
Step-by-step explanation:
The answer gonna be D because the median of plot B is about 27 but in A it is 19
Answer:
D
Step-by-step explanation:
Question 12 Multiple Choice Worth 1 points)
(05.01)
Choose the equation below that represents the line passing through the point (2, -4) with a slope of
rezi
Answer:
y - 3x = -10
Step-by-step explanation:
Complete question
Choose the equation below that represents the line passing through the point (2, -4) with a slope of 3
The standard equation of a line in point-slope form is y-y0 = m(x-x0)
Given
x0 = 2
y0 = -4
alope m = 3
Substitute
y - (-4) = 3(x - 2)
y + 4 = 3(x - 2)
y + 4 = 3x - 6
y - 3x = -6 - 4
y - 3x = -10
Hence the required equation is y - 3x = -10
Antibiotics in Infancy
Exercise 2.19 describes a Canadian longitudinal study that examines whether giving antibiotics in infancy increases the likelihood that the child will be overweight later in life. The study included 616 children and found that 438 of the children had received antibiotics during the first year of life. Test to see if this provides evidence that more than 70% of Canadian children receive antibiotics during the first year of life.
(a) State the null and alternative hypotheses
(b) Calculate the z-statistic.
(c) Find the p-value.
(d) Make a generic conclusion about the null hypothesis, using α = 0.05
(e) Make a conclusion in context.
Answer:
e)The information from the sample does not give enough information to support that more than 70% of Canadian children receive antibiotics during the first year of life
Step-by-step explanation:
The proportion we will use for the test is p = 70 %
From a random sample we got
n = 616
x = 438 then p₁ = 438/616 p₁ = 0,71 p₁ = 71 %
Then q₁ = 1 - p₁ q₁ = 1 - 0,71 q₁ = 0,29 q₁ = 29 %
a) Hypothesis test:
Null hypothesis H₀ p₁ = p
Alternative hypothesis Hₐ p₁ > p >70 %
CI = 95 % significance level α = 5 % α = 0,05
z(c) for α = 0,05 from z-table is z(c) = 1,64
b) To calculate z(s) = ( p₁ - p ) / √ p₁*q₁ / n
z(s) = ( 0,71 - 0,70 )/ √ 0,71*0,29/616
z(s) = 0,01 /0,01828
z(s) = 0,547 ≈ 0,55
c) p-value for z(s) is from z-table p-value ≈ 0,7088
d) p-value > 0,05 then we accept H₀ we don´t have enough evidence to reject H₀
e)The information from the sample does not give enough information to support that more than 70% of Canadian children receive antibiotics during the first year of life