Answer:
[tex]x^2+11x+24=0[/tex]
Step-by-step explanation:
Given that,
The zeros of a quadratic function are -3 and -8
It means,
(x+3) = 0 and (x+8)=0
Now multiply them together,
[tex](x+3)(x+8)=0\\\\x^2+8x+3x+24=0\\\\x^2+11x+24=0[/tex]
Hence, the required equation is equal to [tex]x^2+11x+24=0[/tex].
Find the value of x in the triangle shown below
Answer:
x= 50
Step-by-step explanation:
area of a triangle is 180
the sides are the same so the bottom 2 angles are the same as well
180 - 80 = 100
100/2 = 50
Rehan wants to add a fence along his triangular garden whose sides are 14m,16m and 20m. What will be the length of fencing material? Give your answer in cm.
Answer:
5000cm
Step-by-step explanation:
14 + 16 + 20 = 50m
50m x 100cm/m = 5000cm
5^-8 times 5^4 simplified
Answer:0
Step-by-step explanation:
Hello!
5^-8(5^4)=
5^(-8)(625)=
5^-5000= 0
Hope this helps, Have a great day!
what is the median of this data set ?
21,42,63,84,105,126,147
a.21
b.63
c.84
d.126
Answer:
c. 84 is the answer
Step-by-step explanation:
if x = 3+2 root 2 then find x- 1/x
Answer:
We know that:
x = 3 + 2*√2
And we want to find the value of:
[tex]x - \frac{1}{x}[/tex]
First, we can rewrite the above expression as:
[tex]x - \frac{1}{x} = \frac{x^2}{x} - \frac{1}{x} = \frac{x^2 - 1}{x}[/tex]
Now we can replace the value of x by the one above, we will get:
[tex]\frac{x^2 - 1}{x} = \frac{(3 + 2*\sqrt{2})^2 - 1 }{3 + 2*\sqrt{2} } = \frac{3^2 + 2*2*\sqrt{2} + (2*\sqrt{2})^2 - 1 }{3 + 2*\sqrt{2} }[/tex]
Now we can simplify this to get:
[tex]\frac{9 + 4*\sqrt{2} + 4*2 - 1 }{3 + 2*\sqrt{2} } = \frac{16 + 4*\sqrt{2} }{3 + 2*\sqrt{2} }[/tex]
We could finally compute that last equation, to get:
[tex]\frac{9 + 4*\sqrt{2} + 4*2 - 1 }{3 + 2*\sqrt{2} } = \frac{16 + 4*\sqrt{2} }{3 + 2*\sqrt{2} } = 3.716[/tex]
Endpoints of diameter: (6, -2) and (10, -10)
Take midpoint of two co ordinate of diameter of circle.
Answer:
(6, -2) and (10, -10)=-4
Step-by-step explanation:
The points given cannot be the vertex and focus.
Invalid Input
Hope this helps!
Find parametric equations through point P=(2,2,7) in the direction of the vector v = (44, 14, -20)?
9514 1404 393
Answer:
(x, y, z) = (2+44t, 2+14t, 7-20t)
Step-by-step explanation:
One way to write parametric equations for line L is ...
L = P + t·v
where P is the given point and v is the given direction vector. Using that form, we have ...
(x, y, z) = (2+44t, 2+14t, 7-20t)
__
If you like, you can remove a common factor of 2 from the coefficients of t.
(x, y, z) = (2+22t, 2+7t, 7-10t)
First person to answer give you the brainleist
Answer:
A
Step-by-step explanation:
Options B, C and D are all 3 units away from point B, which means that it can only be A
Answer:
A. (0, 4)
Step-by-step explanation:
What is the lower fence of this data set?
25, 27, 28, 30, 30, 31, 38
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
∠GAF ≌ ∠TAE.
∠TAE and ∠FAH are complementary.
∠TAF is obtuse.
Answer:
Statement 3
Step-by-step explanation:
∠GAF ≅ ∠TAE
Since, there is no relation between these angles,
Therefore, statement is False.
∠TAE and ∠FAH are complementary.
If the sum of the two angles is 90°, pair of angles is said to be complimentary angles.
Therefore, this statement is False.
∠TAF is obtuse.
Measure of obtuse angle is more than 90°
From the given picture, measure of ∠TAF = m∠TAH + m∠HAF
= 90° + 50°
= 140°
Here, m∠TAF > 90°
Therefore, ∠TAF is an obtuse angle.
Statement (3) is the correct statement.
A bag contains 2 red marbles and 3 blue marbles. What is the probability of drawing a red marble, keeping it, and drawing another red marble?
Answer:
Step-by-step explanation:
the first marble has a probability of 2/5
the second marble has a probability of 1/4
P(r=2) = 2/5 * 1/4 = 2/20 = 1/10
Answer:
2/5, 1/4
Step-by-step explanation:
The total amount of marbles before drawing a marble is 2+3=5. There are 2 red marbles. Thus, the theoretical probability of drawing a red marble from the bag is 2/5.
If you keep the red marble, there are now 4 total marbles in the bag. There is also only 1 remaining red marble. Thus, the theoretical probability of drawing a red marble is now 1/4.
mean, median, mode or standard deviation best represents the data
Answer:
mean
Step-by-step explanation:
Find the value of x..
a. 20.6
B. 11.2
C. 125
D. 19.4
Answer:
11.2
Step-by-step explanation:
11.2 is the only one that looks reasonable if you're considering the length of it lol
What is the volume of this figure
9514 1404 393
Answer:
(c) 27π cubic centimeters
Step-by-step explanation:
The volume is given by the formula ...
V = πr²h
Here, the diameter is given as 6 cm, so the radius is 3 cm and the volume is ...
V = π(3 cm)²(3 cm) = 27π cm³ . . . . . matches the 3rd choice
A circle is cut from a square piece of cloth, as shown.
How many square inches of cloth are cut from the square?
(TT = 3.14)
•1,017,36 in2
•1.182.96 in2
•1276.00 in2
•1.489.24 in2
Answer:
area of a circle= πr²
= 3.14×18×18×
=1017.36 in²
QUESTIONS
A salt is packed in jars containing 32 grams. How many jars can be filled from 15kg of the salt? [
Answer:
Number of jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)
Step-by-step explanation:
Given:
Amount of salt containing in jar = 32 gram
Total amount of salt in jar = 15 kg
Find:
Number of jars can be filled from 15kg of the salt
Computation:
Total amount of salt in jar = 15 kg
Total amount of salt in jar (in grams) = 15 x 1000 g
Total amount of salt in jar (in grams) = 15,000 g
Number of jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar
Number of jars can be filled from 15kg of the salt = 15,000 / 32
Number of jars can be filled from 15kg of the salt = 468.75
Number of jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)
Plz help me
What are the coordinates of point Q?
A.-4 2 1/2
B.-2 1/2 4
C. -2 1/2 4
D.4,2 1/2
Which point is a solution to the system of equations below?
y = 2x - 2
y = x + 2
A.(1,3)
B.(4,6)
C.(6,4)
D.(6,10)
The college bookstore tells prospective students that the average cost of its textbooks is $92 per book, with a standard deviation of $15. The engineering students think that the average cost of their books is higher than the average for all students. To test the bookstore’s claim against their alternative, the engineering students collect a random sample of size 45, and calculate x = $97.34.
Grade: 5 4 3 2 1
Communication strong ←− − − − − − −→ weak ×2
Required:
Conduct a hypothesis test with α = 0.05 to see if the students’ claim is supported. Use the classical approach.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file for the solution.
Convert the following equation to cartesian coordinates. describe the resulting curve.
r = 9/7cos theta + 2sin theta
1. Write the Cartesian equation.
2. Describe the curve.
Answer:
The rules for change of coordinates are:
r = √(x^2 + y^2)
θ = tan(y/x)
and:
x = r*cos(θ)
y = r*sin(θ)
1) Now we have the equation:
r = (9/7)*cos(θ) + 2*sin(θ)
Let's multiply both sides by r:
r^2 = r*( (9/7)*cos(θ) + 2*sin(θ) )
r^2 = (9/7)*r*cos(θ) + 2*r*sin(θ)
Now we can replace:
r*cos(θ) by x and r*sin(θ) by y
r^2 = (9/7)*x + 2*y
And we know that:
r = √(x^2 + y^2)
then:
r^2 = x^2 + y^2
So we can replace that in our equation:
x^2 + y^2 = (9/7)*x + 2*y
This is the equation in cartesian coordinates.
2) Now we want to describe the curve.
We can rewrite this as:
[x^2 - (9/7)*x] + [ y^2 - 2*y] = 0
Now we can complete squares:
So we need to add and subtract:
(4.5/7)^2 and 1^2
[x^2 - 2*(4.5/7)*x + (4.5/7)^2 - (4.5/7)^2] + [ y^2 - 2*y + 1 - 1] = 0
(x - (4.5/7) )^2 + (y - 1)^2 - 1 - (4.5/7) = 0
(x - (4.5/7) )^2 + (y - 1)^2 = 1 + 4.5/7
So this is the equation of a circle, centered at:
( 4.5/7, 1) and with a radius √(1 + 4.5/7)
what is the Limited Development of ln(x+cosx) ?
Answer:
A quick hack is often to partially express some function in terms of a Taylor approximation about x0, since higher order terms of x go to zero if we are considering limits for (x−x0)→0. To really answer your question we need to know what the original question was, that is, about which point do you want the expansion? Let us assume around 0. Then we have the Maclaurin series:
cos(x)=1−12x2+O(x4)
You can add more terms if you need to. Now we write:
ln(1+(−12x2))=…
Do you know the standard Maclaurin series for this function?
Hint: it is of the form ln(1+u)
Step-by-step explanation:
5 × ( 1/3 + 2/5 ) peealse i nedd a answer quick
Answer:
11/3 as improper fraction
3 2/3 as proper fraction
Step-by-step explanation:
5 × ( 1/3 + 2/5 )
use common denominator of 15
5 × ( 5/15 + 6/15 )
Add
5 × ( 11/15)
Reduce
1 × ( 11/3)
11/3
as a proper fraction
3 2/3
Answer:
3.666666667
Step-by-step explanation:
= 5 (1/3 + 2/5)
= (5 (1/3)) + (5 (2/5))
= (1.666666667) + (2)
= 3.666666667
Hope this helps :)
ummmmmmm sooooooo how to answer a question sorry for the horrible grammmar
Alright, whats your question ?
football team scores 42 points in 3
games. Find the unit rate
Answer:
14
Step-by-step explanation: divide..
Answer:
14 points per game
Step-by-step explanation:
42/3 = 14
ILL GIVE BRAINLIEST!! please answer this and tell me how you got it for the calculations on the side. there's also a bonus question- "how far is it from the tip of the flag pole to the tip of the shadow" please answer that if you can and show work too. NO BITLY thank you!
Answer:
Height of Flagpole: 24.03 feet
Length between tip of flagpole and tip of shadow: 46.67 feet
Step-by-step explanation:
So the angle of elevation (31°) is facing directly opposite of the flagpole. The shadow of the flagpole (40 ft) is adjacent to the angle of elevation. Therefore, the tangent function incorporates both the opposite and adjacent sides of the right triangle created. We would then make the equation and solve for the height of the flagpole which is the opposite side (h in this case):
tanθ = opposite/adjacent
tan(31°) = h/40
40tan(31°) = h
24.03442476 = h
h ≈ 24.03
Therefore, the height of the flagpole is about 24.03 ft.
As for your bonus question, the length of the tip of the flagpole to the tip of the shadow would be the hypotenuse of the triangle created, which can easily be found using the Pythagorean Theorem (using exact values):
a² + b² = c²
(40tan(31))² + (40)² = c²
577.6535736 + 1600 = c²
2177.6535736 = c²
46.66533589 = c
c ≈ 46.67
Therefore, the length from the tip of the flagpole to the tip of the shadow is 46.67 ft.
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
SELECT ALL THAT APPLY
Which of the following are INDEPENDENT events?
a.) You randomly choose 2 socks from a drawer, hoping they will match.
b.) You draw a marble from a bag, replace it, and draw again.
c.) You draw two numbers from 1 to 10 from a hat without replacing the first.
d.) You flip a coin and roll a number cube.
Answer:
A
Step-by-step explanation:
I hope this helps.
Have a good day :)
a.) You randomly choose 2 socks from a drawer, hoping they will match.
ages of students in a statistic class
O A. ratio
OB. nominal
O C. interval
O D. ordinal
i need help with this
Step-by-step explanation:
=> V = 4/3 π r³
=> V1 : V2 = r³ : r'³
=> 1³ : 5³
=> 1 : 125
For which equation is (4,3) a solution?
y=x+ 3
y= 3 x-4
y= 2 x-5
y= 2 x-1
Find the area of the figure to the nearest thousandth
Answer:
[tex]236.715\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
The area of the figure consists of a rectangle and two half-circles.
Area of rectangle: [tex]15\cdot 4=60[/tex]
Area of two half-circles: [tex]2\cdot \frac{1}{2}\cdot 7.5^2\cdot \pi=176.714586764[/tex]
Thus, the total area of the figure is
[tex]60+ 176.714586764\approx \boxed{236.715}[/tex]