Answer:
Focus is at the origin, so (0,0)
directrix at x=1/34
the equation of the parabola is,
[tex]x = \frac{1}{68} - 17 {y}^{2} [/tex]
give that 1/x+2/y=1/2, express y in terms of x and 2
9514 1404 393
Answer:
y = 4x/(x -2)
Step-by-step explanation:
Subtract 1/x
2/y = 1/2 -1/x
Combine terms
2/y = (x-2)/(2x)
Cross multiply
4x = y(x -2)
Divide by the coefficient of y
y = 4x/(x -2) . . . . simplest
y = 2^2/(x -2) . . . . in terms of x and 2
I need help guys thanks so much
Answer: C
Step-by-step explanation:
Find hypotenuse,perpendicular and base
Answer:
Hypotenuse = XY = 17 cm
Base = YZ = 15 cm
Perpendicular = XZ = 8 cm
A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 60 cookies. The mean is 22.36 and the standard deviation is2.97 . Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.
Answer:
2.665 < σ < 3.379
Step-by-step explanation:
Given :
s = 2.97
Sample size, n = 60
α = 80%
χ² Critical value (two - tailed), df = (60-1) = 59
χ² = 45.577 ; χ² = 73.279
The 80% confidence interval for the standard deviation :
s * √(n - 1) / χ² critical
2.97 * √(60 - 1) / 73.279 < σ < 2.97 * √(60 - 1) / 45.577
2.665 < σ < 3.379
Manish writes the functions g(x)= 3 sqrt -x - 72 and h(x) = -(x + 72)^3
Which pair of expressions could Manish use to show that g(x) and h(x) are inverse functions?
Answer:
[tex]\sqrt{-(x +72)^3} - 72 = -(3\sqrt x - 72 +72)^3[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 3\sqrt x - 72[/tex]
[tex]h(x) = -(x +72)^3[/tex]
Required
Show that they are inverse functions
For g(x) and h(x) to be inverse, then:
[tex]g(h(x)) = h(g(x))[/tex]
We have:
[tex]g(x) = 3\sqrt x - 72[/tex]
Replace x with h(x)
[tex]g(h(x)) = 3\sqrt{h(x)} - 72[/tex]
Substitute value for h(x)
[tex]g(h(x)) = 3\sqrt{-(x +72)^3} - 72[/tex]
Similarly;
[tex]h(x) = -(x +72)^3[/tex]
Replace x with g(x)
[tex]h(g(x)) = -(g(x) +72)^3[/tex]
Substitute value for g(x)
[tex]h(g(x)) = -(3\sqrt x - 72 +72)^3[/tex]
Recall that:
[tex]g(h(x)) = h(g(x))[/tex]
So:
[tex]\sqrt{-(x +72)^3} - 72 = -(3\sqrt x - 72 +72)^3[/tex]
Its c
explanation:
on edge
If the mean age of the managers in company is 52 years with a standard deviation of 2.5 years, what is the probability that a randomly chosen manager will be between 54.5 and 57 years old
Answer:
13.5 %
Step-by-step explanation:
For a normal distribution, the Empirical Rule states that 68% of values lie between 1 standard deviation of the mean, 95% of values lie between 2 standard deviations of the mean, and 99.7% of values lie between 3 standard deviations of the mean. Here, we can see that 54.5 is 1 standard deviation away from the mean and 57 is 2 standard deviations away. This means that we want to find the difference between 1 and 2 standard deviations from the mean (in the positive direction)
To find the difference, we can simply find (percent of values 2 standard deviations of the mean) - (percent of values 1 standard deviation from the mean) = percent of values between 1 and 2 standard deviations from the mean
= 95-68 = 27 %
Finally, this gives us the percent of values between 1 and 2 standard deviations from the mean on both sides. We want to only find the positive aspect of this, as we don't care how many values are between 49.5 and 47 years old. Because normal distributions are symmetric, or equal on both sides of the mean, we can simply divide by 2 to eliminate the half we don't want, resulting in 27/2 = 13.5
The probability that a randomly chosen manager will be between 54.5 and 57 years old is 0.8413.
Given that, average age managers = 52 years standard deviation = 2.5 years.
What is standard deviation?Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
Considering the equation Z = (X−μ)/σ
Where, X is the lower or higher value, as the case may be μ is the average σ is standard deviation
Now, z1= (54.5 - 52)/2.5
= 1
z2= (57 - 52)/2.5
= 2
Now, z2-z1= 2-1
= 1
P(54.5>Z<57)= 0.8413
Therefore, the probability that a randomly chosen manager will be between 54.5 and 57 years old is 0.8413.
Learn more about the standard deviation visit:
brainly.com/question/13905583.
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The average of two numbers is 5x. If one of the numbers is 2x + 3, find the other number.
Answer:
8x-3
Step-by-step explanation:
Average of 2 numbers means add the two numbers and divide by 2
(y+z)/2 = 5x
Let z = 2x+3
(y+2x+3)/2 = 5x
Multiply each side by 2
y+2x+3 = 10x
Subtract 2x from each side
y+3 = 10x-2x
y+3 = 8x
Subtract 3
y = 8x-3
The other number is 8x-3
Pls if anyone knows the answer that will be greatly appreciated :) question 1 btw
Answer:
here's the answer to your question
Quick Test
7. After 12% discounts, the price of a car is RM 44,000. What is the original price?
A. RM 52,800
B. RM 38,720
C. RM 49,280
D. RM 50,000
8. Find the interest on RM 2,800 if the rate is 5% for 4 years.
A. RM 500
B. RM 660
C. RM 460
D. RM 560
9. Find the net price of an item with a list price of RM 80.00 and a trade discount of 12%
A. RM 69.50
B. RM 57.70
C. RM 70.50
D. RM 70.40
10. The price of a hard drive is RM 215. If Andrew is given 6% discounts, find the mark down
amount.
A. RM 202.10
B. RM 86.00
C. RM 129.00
D. RM 12.90
Answer:
number 7 the answer is 50,000
Books, and then you have 44+45x=?
Answer:
45x=-44
x=-44/45
Step-by-step explanation:
is this a free question?
What is 0.25% of K2 000?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{When you hear/see the word of in mathematics, it usually means }\\\large\text{\bf multiplication. }[/tex]
[tex]\large\text{So, when you think of think of the word \underline{of} think of its asking you to}\\\large\text{\bf multiply }[/tex]
[tex]\large\text{Now that we got that run down out of the way lets answer your given}\\\large\text{question}[/tex]
[tex]\large\textsf{0.25\% of 2,000}[/tex]
[tex]\large\textsf{= 0.25\%} \times \large\textsf{2,000}[/tex]
[tex]\large\textsf{0.25\%} = \mathsf{\bf \dfrac{25}{100}}[/tex]
[tex]\mathsf{= \dfrac{25}{100} \times 2,000}[/tex]
[tex]\mathsf{\dfrac{25}{100}= \bf 0.0025}[/tex]
[tex]\large\textsf{= 0.0025} \times \large\textsf{2,000}[/tex]
[tex]\large\text{= \bf 5}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 5}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Two identical lines are graphed below. How many solutions are there to the system of equations?
A. Two
B. One
C. Zero
D. Infinitely many
Answer:
the answer is D. infinitely many
The number of solutions there are to the system of equations is Infinitely many, the correct option is D.
What is the Point-slope form?
The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
We are given that;
The two identical lines
Now,
We can find the equations of the two lines by using the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.
For line 1, we have two points (0,2) and (1,0), so we can find the slope as:
m1 = (0 - 2) / (1 - 0) = -2
Using point-slope form, we can write the equation of line 1 as:
y - 2 = -2(x - 0)
y = -2x + 2
For line 2, we have two points (-1,4) and (2,-2), so we can find the slope as:
m2 = (-2 - 4) / (2 - (-1)) = -2
Using point-slope form, we can write the equation of line 2 as:
y - 4 = -2(x - (-1))
y = -2x + 2
We can see that the two lines have the same slope and the same y-intercept.
Therefore, by the given slope of the line the answer will be infinitely many.
Learn more about slope here:
https://brainly.com/question/2503591
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You buy a milkshake form a shoppe that only had chocolate, vanilla, and strawberry flavors. Find the probability that your milkshake consists of at least 1 flavor
Answer:
1:3
Step-by-step explanation:
because you would get 1 of 3 flavours
what is the length of GN, given that figure LMNO is a square PLZ HELP!!!!!
Answer:
A. 4
Step-by-step explanation:
The diagonals are also congruent to each other. Diagonals of a square bisect each other. This implies that:
MO bisects LN, thereby dividing LN into two equal segments, LG and GN.
Thus, LG = GN.
Since the length of LG = 4, therefore:
GN = 4
PLZZZ HELP
This is due in 15 mins
I need 5
But I already have 4
So one more
Answer:
The hottest month for the northern hemisphere is August.
The hottest month for the southern hemisphere is January and February (these top two might be the opposite)
It's globally warmer during the months of June July and August
During april and november, the southern hemisphere and northern hemisphere are the same, or very close.
During July and August the southern and northern hemispheres have the largest difference in temperature
Bob has 40 cents in his pocket. If Bob has no pennies, how many different combinations of quarters, dimes, and/or nickels could he have.
dime: 5 cents
nickel: 10 cents
quarter: 25 cents
let's start with quarters, (2)
25 + 10 + 5
25 + 5 + 5 + 5
nickels, (4)
10 + 10 + 10 + 10
10 + 10 + 10 + 5 + 5
10 + 10 + 5 + 5 + 5 + 5
10 + 5 + 5 + 5 + 5 + 5 + 5
dimes, (1)
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5
7 combinations.
hope it helps :)
If an 8" X 8" square cake serves 8 people, how many 24" X 24" square cakes are needed for a
wedding attended by 144 people?
Answer:
2 24" X 24" square cakes are needed.
Step-by-step explanation:
This question is solved by proportions.
Area of a square:
The area of a square of side l is given by:
[tex]A = l^2[/tex]
8" X 8" square cake serves 8 people
Thus:
[tex]A = 8*8 = 64[/tex]
Area of 64 serves 8 people, so for 1 people, an area of 64/8 = 8 is needed.
144 people
The total area needed is:
[tex]A = 144*8 = 1152[/tex]
How many 24" X 24" square cakes?
24*24 = 576
1 cake - 576
x cakes - 1152
Applying cross multiplication:
1152/576 = 2
2 24" X 24" square cakes are needed.
Can u please help I got 1 minnnn lefttttt
Answer:
26 cm
Step-by-step explanation:
P = 2a + 2b
a = side
b = base
Answer:
The area=base×height
=10×4
=40cm^2
perimeter=2(length+breadth)
I think to find the height Dc you use the pythagoras theorem of
Dc^2=de^2+ce^2
=√16+9
=5
therefore the perimeter will be
p=2(5+10)
=20cm
I hope this helps and sorry if it's wrong
If f(x) = x - 5, what is the value of f(8)? -13 -3 3 13
Answer:
putting the value of X=8 in f(X)
f(8)= 8-5
f(8)= 3
Answer:
3
Step-by-step explanation:
We must plug in 8 into the equation of the function since f(x) = x - 5 for all values of x. Since 8 could be a value of x, we can plug it in:
[tex]f(8) = 8-5[/tex]
The value of 8 minus 5 is 3, so the value of f(8) is 3.
Help with this Area question
Step 1: Find the area of the rectangle
A = base x height
A = 39 x 20
A = 780
Step 2: Find the area of the semi-circles
---Two semi-circles is the same as one whole circle, so I will be finding the area of one whole circle.
A = pi x r^2
A = pi x 10^2
A = 100pi = 314
Step 3: Find the area of the figure
Area = area of the rectangle - area of the semi-circles
A = 780 - 314
A = 466 cm^2
Hope this helps!
Answer:
466 cm^2
Step-by-step explanation:
This one is done basically the same as the other.
Rectangle = 20 x 39
Circle = (3.14) x 10^2
Rectangle = 780
Circle = 314
rectangle - circle
780 - 314 = 466
Evaluate the expression for n = –8.
–2n − 6 =
Answer:
10Step-by-step explanation:
-2n - 6 = ?let n be -8-2 (-8) - 6 = ?= 10[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Illustrate the 7th pattern of the sequence of square numbers.
1,4,9,16,25,36,49,........
7th pattern =49.....
Answer:
1, 4, 9, 16, 25, 36, 49…................the 7 the pattern is 49
What are the measures of Angles a,b, and c? show your work and explain your answers.
Answer:
a=35
b=55
c=110
Step-by-step explanation:
a=35
Opposite angles which are non-adjacent angles formed by two intersecting lines are equal
b+35+90=180 sum of interior angle of a triangle equal to 180
b=180-125
=55
c+70=180 Angles on a straight line add up to 180°
c=180-70
=110
Add .003, 265.8, 83.04
and 1972
1.2 Write the ratio 1:2 in the simplest form.
Terry is building a tool shed with a 90 square foot base and a length that is three more than twice the width. This can be modeled by the equation (2w+15) (w-6)= 0. The length of Terry's tool shed is______ feet.
Answer:
l = 15 feet
Step-by-step explanation:
l = 2w + 3
First you solve for the width(w)
(2w+15) (w-6) = 0
This means
2w+15=0 OR. w-6=0
First let’s solve 2w+15=0
2w = -15
w = -7.5
Width can’t be negative so that can’t be the answer. So we look at the second equation w-6=0
w= 6
Since we found the width now we can find the length by using the formula l = 2w + 3
= 2(6) + 3
= 12 + 3
= 15 feet
You can check this by using the given area which is 90.
A = lw = 15*6 = 90
Please help explanation if possible
Answer:
N=18
Step-by-step explanation:
Hope it will help you
If it does pls give me Brainlest
Have a nice day
Answer:
18
Step-by-step explanation:
use the concept of similarity and enlargement.
[tex] \frac{15}{n} = \frac{5}{6 } [/tex]
[tex]n = \frac{15 \times 6}{5} [/tex]
[tex]n = 18[/tex]
Instructions: Find the missing side. Round your answer to the nearest tenth.
22
58°
Answer:
x = 19.2
Step-by-step explanation:
tan(58)=x/12
x=12×tan(58)
x=19.2
Answered by GAUTHMATH
Use the elimination method to solve this system. − 4 x − 2 y = − 12, 4 x + 8 y = − 24
Answer:
x = 6; y = -6
Step-by-step explanation:
-4x - 2y = -12
4x + 8y = -24
Add the two equations, so x is eliminated:
6y = -36
6y/6 = -36/6
y = -6
Plug in y, to solve for x
-4x - 2y = -12
-4x - 2(-6) = -12
-4x +12 = -12
-4x = -12 -12
-4x = -24
-4x/-4 = -24/-4
x = 6
Answer from Gauthmath
What is the minimum perimeter of a rectangle with an area of 625 mm^2
