Answer:
6
Step-by-step explanation:
By definition, the constant difference for a hyperbola is:
d = |PF1 - PF2|
where PF1 is the distance between points P and F1, and PF2 is the distance between points P and F2
Let's call F1 to (-3, 0), F2 to (3, 0) and P (7, 0). Then, the distances are:
PF1 = √[(-3 - 4)² + (0 - 0)²] = 7
PF2 = √[(3 - 4)² + (0 - 0)²] = 1
And the the constant difference is:
d = |7 - 1| = 6
insert three arithmetic means between 25 and 9
Answer:
21, 17, 13
Step-by-step explanation:
Find the mean of the 2 given values
mean = [tex]\frac{25+9}{2}[/tex] = [tex]\frac{34}{2}[/tex] = 17
Noe find the mean of 25 and 17 and 17 and 9
mean = [tex]\frac{25+17}{2}[/tex] = [tex]\frac{42}{2}[/tex] = 21 and
mean = [tex]\frac{17+9}{2}[/tex] = [tex]\frac{26}{2}[/tex] = 13
Thus the 3 means are 21, 17 and 13, that is
25, 21, 17, 13, 9
Apply the distributive property to factor out the greatest common factor.
21e + 35
Answer:
7(3x+5)
Step-by-step explanation:
When factoring out the GCF you want to find the largest number that can divide into both 21 and 35. The largest number is 7 so you divide 7 from 21e and 35.
Answer:
7(3e+5)
Step-by-step explanation:
Evaluate
4!+3!/2!
8
10
15
Answer:
=27
Step-by-step explanation:
4!+3!2
!=24+3!2!
=24+62!
=24+62
=24+3
=27
Hope this helps.
Answer:
15
Step-by-step explanation:
Please answer !!!!!!!! Will mark brainliest whoever answers correctly !!!!!!!!
Answer:
g(q) = 5/8q
Step-by-step explanation:
-7q + 12r = 3q - 4r
Add 4r to each side
-7q + 12r+4r = 3q - 4r+4r
-7q +16r = 3q
Add 7q to each side
-7q+7q +16r = 3q+7q
16r = 10q
Divide each side by 16
16r/16 = 10q/16
r = 5q/8
g(q) = 5/8q
If 18√8- 8√18 = √n, what is n?
Answer:
1440
Step-by-step explanation:
[tex]18 \sqrt{8} - 8 \sqrt{18} = \sqrt{n} \\ {18 \sqrt{8} }^{2} - {8 \sqrt{18}}^{2} = n \\ 2592 - 1152 = n \\ 1440 = n[/tex]
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-2.1), m=5
Answer:
y - y1 = m (x - x1)
y - 1 = 5 ( x - (-2))
y - 1 = 5(x+ 2)
y - 1 = 5x +10
Step-by-step explanation:
Which of the following are polynomials?
what is the yintercept of the function f(x) + -2/9x + 1/3?
Answer:
+1/3
....................
CaN sOmEoNe HeLp Me PlZ :)
Answer:
6
Step-by-step explanation:
divide the shape into a triangle and square
the triangle area is 1/2hb= 1/2 2*2 =2
the square are is a ^2 = 2^2 = 4
4+2 =6
1) Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.
Answer:
The radius of the base of the small cone is 3 feet
Step-by-step explanation:
The question requires the determination of the radius of the smaller cone
Therefore, height of the larger cone = 10 feet
Base diameter of the larger cone = 10 feet
Height of horizontal plane of small plane above base of larger cone = 4 feet
Hence the height of the small cone = 6 feet
Therefore, by similar triangles, and tangents we have;
[tex]\frac{Height \, of \, small \, cone}{Height \, of \, larger\, cone} =\frac{Diameter \, of \, base \, of \, small \, cone}{Diameter \, of \, base \, of \, larger \ cone} =\frac{6}{10} = \frac{x}{10}[/tex]
Where:
x = The diameter of the base of the small cone
Therefore;
[tex]{x} = \frac{6}{10} \times 10 = 6 \, feet[/tex]
The radius of the base of the small cone = half the diameter of the base of the small cone
∴ The radius of the base of the small cone = (6 feet)/2 = 3 feet.
Answer:
the radius would be 3
Step-by-step explanation:
so what it's saying si there;s a cone with diameter 10 and height 10, the 4 feet above the bottom of the cone is the base of the smaller cone. The height of the smaller cone becomes 6, making the diameter 6 as the ratio becomes 6:6, and radius is diameter/2 becoming 3
Help please 10 points!
Answer:
Step-by-step explanation:
Yes, the two angles are congruent. There are two triangles here, and these triangles are congruent as well.
Isosceles triangle ABC, with AB=BC, has a height, DB, of 9 inches. Angle A measures 60 degrees. How long is AC?
A. 20 inches
B. 10.40 inches
C. 18 inches
D. 9 inches
Answer:
A. 20 inches
Step-by-step explanation:
i need help please!!!
Answer:
About 78.1 square centimeters
Step-by-step explanation:
First, you need to find the areas of each individual shape, and then to subtract one from the other. The area of the circle is [tex]\pi r^2=\pi \cdot 6^2\approx 113.1[/tex]. The area of the rectangle is [tex]7\cdot 5=35[/tex]. Subtracting this from the area of the circle, you get about 78.1 centimeters. Hope this helps!
Answer:
[tex]78.09 {cm}^{2} [/tex]
Step-by-step explanation:
First find the area of the circle
[tex]\pi {r}^{2} \\ \pi \times 6 \times 6 \\ = 113.09[/tex]
Now find the area of the rectangle
[tex]b \times h \\ = 5 \times 7 \\ = 35[/tex]
Now subtract the area of the rectangle from the area of the circle.
You'll get the area of the shaded region.
[tex]113.09 - 35 \\ = 78.09 {cm}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The oblique pyramid has a square base.
What is the volume of the pyramid?
2.5 cm3
5 cm3
6 cm
7.5 cm
3.75 cm
2 cm
Answer:
B. 5 cm3
Step-by-step explanation:
The volume of the oblique pyramid with a square base is 3.33 cm³.
How to find the volume and base's area of a right rectangular pyramid?
Suppose the base of the pyramid has length = l units, and width = w units.
Suppose that the height of the pyramid is of h units, then:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]
is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, so its area is:
[tex]b = l \times w\: \rm unit^2[/tex]
We are given that;
the base is about 2 cm long and that the height is about 2.5 cm long.
Now,
Using these values, we can estimate the volume as:
V ≈ (1/3) × Base Area × Height
V ≈ (1/3) × (2 cm)² × 2.5 cm
V ≈ (1/3) × 4 cm² × 2.5 cm
V ≈ 10/3 cm³
V ≈ 3.33 cm³
Therefore, an approximate volume of the pyramid will be 3.33 cm³.
Learn more about right rectangular pyramid here:
https://brainly.com/question/27234847
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Gia is running for school president. Her best friend designed a rectangular button that measures 2.5 inches by 2 inches. Gina liked the button so much she produced a campaign poster, which measures 5 feet by 4 feet. What scale factor did Gina use to make the poster from the button?
A. 2 inches to 1 foot
B. 1 inch to 2 feet
C. 2.5 inches to 1 foot
D. 1 inch to 5 feet
Answer:
B. 1 inch to 2 feet
Step-by-step explanation:
from 2.5 inches by 2 inches to 5 feet by 4 feet
hence.
the scale factor is "2 inches to 4 feet" which is 1 inch to 2 feet
A market researcher selected 400 people at random from a group of people who indicated that they liked a certain comic book. The 400 people were then shown a television series based on the comic book and then asked whether they liked or disliked the television series. Of those surveyed, 90% said they liked the television series. Which of the following inferences can be appropriately drawn from this survey result?
Most people who like the comic book will like the television series.
Most people who dislike the comic book will dislike the television series.
At least 90% of people who watch the television series will like it.
At least 90% of comic book fans will like the television series.
Answer:
Most people who like the comic book will like the television series.
Step-by-step explanation:
The result says that 90% of the people who likes the comic book also likes the television series which indicates that most people who liked the book will also like the television series.
I don’t understand this
Answer:
-5 or 5
Step-by-step explanation:
The n is in absolute value bars. So n could either be -5 or 5
Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
A: x = 0
B: y = 0
C: x = 1
D: y = 1
Answer: y+0
As y=0 represent x-axis whose slope is 0 and intersects y-axis at the origin.
Step-by-step explanation:
Which of the following are alternate interior angles? Select all that apply.
A. ∠5 and ∠4
B. ∠6 and ∠5
C. ∠2 and ∠8
D. ∠8 and ∠1
E. ∠3 and ∠5
Answer:
the alternative interior angles are c and e
Bella bought packs of stickers to give to her friends. Each pack cost $4. She spent a total of
$32 on stickers. How many packs did she buy?
Answer:
8 packs
Step-by-step explanation:
$4 = 1 pack
$32 = ?
$32 = $32/$4
$32 = 8 packs
Plez help with mathamaticas
A. is correct! Good job!
The correct answer is D. I found the equation, y = 6x + 1 and solved each one till it fit. y + 5 = 6(x + 1)
y + 5 = 6x + 6
-5 -5
y = 6x + 1
Do the functions have the same concavity?
f(x)=-3x^(2)+12x-32
A. Yes, f and g are both concave down.
B. Yes, f and g are both concave up.
C. No, f is concave up and g is concave down.
D. No, f is concave down and g is concave up.
Answer:
A) Yes, f and g are both concave down.
Step-by-step explanation:
i need help asap please help me
Answer:
28/41
Step-by-step explanation:
application of a cubic. please help!
Answer:
a. 28.
b 20.78.
Step-by-step explanation:
a. f(x) = 0.001(x - 10)(x + 20)(x - 40)
When x = 50
Height = f(40) = 0.001(50-10)(50+20)(50-40)
= 0.001(40*70*10)
= 0.001 * 28,000
= 28 units.
b.
Expanding the function we get
f(x) = 0.001(x - 10)(x^2 - 20x - 800)
f(x) = 0.001(x^3 - 30x^2 - 600x + 8000)
f(x) = 0.001x^3 - 0.03x^2 - 0.6x + 8
Finding the derivative
f'(x) = 0.003x^2 - 0.06x - 0.6
This is zero for maxm/minm values:
0.003x^2 - 0.06x - 0.6 = 0
x = 27.32, - 7.32.
The values of the heights corresponding to these values of x are:
0.001(27.32-10)(27.32+20)(27.32-40)
= -10.39. and
0.001(-7.32-10)(-7.32+20)(-7.32-40)
= 10.39.
So the distance between A and B = 10.39 - (-10.39)
= 20.78.
the diameter D of a sphere is 13m calculate the sphere volume V use the value 3.14 round your answer to the nearest tenth
Answer:
1149.8 m³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )
Here diameter = 13, thus radius = 13 ÷ 2 = 6.5
V = [tex]\frac{4}{3}[/tex] × 3.14 × 6.5³
= [tex]\frac{4}{3}[/tex] × 3.14 × 274.625
= [tex]\frac{4(3.14)(274.625)}{3}[/tex] ≈ 1149.8 m³ ( to the nearest tenth )
If m is 21 inches, j is 28 inches, and ∠K measures 90°, then find k using the Law of Cosines. Round your answer to the nearest tenth.
35 in
49 in
1,225 in
2,401 in
Answer:
a) 35
Step-by-step explanation:
k^2 = m^2 + j^2 - 2(m)(j) cosK
k^2 = 21^2 + 28^2 - 2(21)(28)(cos90)
k^2 = 441 + 784 - 2(588)(0)
k^2 = 1225 - 0
k^2 = 1225
√k^2 √1225
k = 35
Answer:a 35
Step-by-step explanation:
took the test
If you have 1,000 lbs. of plastic resin and need to mix 4% of colorant to it, how much colorant would you need to
add?
A. 50 lbs. B. 80 lbs. C. 20 lbs. D. 40 lbs.
I will give brainliest answer. Minneapolis, Minnesota and Portland, Oregon have very similar latitudes. (Latitude measures how far north or south a place is, which in turn affects the temperature.) The histograms below show the daily high temperatures (in degrees Celsius) that were recorded during July 2013 in each city.
Which pieces of information can be gathered from these histograms? Choose all answers that apply:
A)
It was warmer in Minneapolis every day.
B)
Minneapolis had the coldest daily high temperature of these two cities.
C)
None of the above
Answer:
The correct answer should be B
Answer:
b
Step-by-step explanation:
khan
On Monday, Jake could lift 40 lbs. One month later he could lift 85 lbs. What is the percent of change in the number of pounds he can lift?
Answer:
112.5 percent
Step-by-step explanation:
Change: 45 lbs.
45/40
1.125
1.125x100=112.5 percent
++=15
++=9
++=30
*-= ?
(The answer is not 15)
What’s the answer to the question mark?