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Solve the quadratic equations
y^2 −10y+21=0
y=?
16p^2 -8p=-1
p=?
x^2 -400=0
x=?
-16m^2 =8m+1
m=?
-3n^2 +75=0
n=?
Answer:
for quadratic equation 1
y^2-10y+21=0
Step-by-step explanation:
y^2-7y-3y+21=0
y(y-7)-3(y-7)=0
(y-7)(y-3)=0
y-7=0,y-3=0
y=7,y=3
y=(3,7)
for quadratic equation 2
16p^2-8p+1=0
16p^2-4p-4p+1=0
4p(4p-1)-1(4p-1)=0
(4p-1)twice=0
4p-1=0,4p-1=0
4p=1
p=1/4 twice
for quadratic equation 3
x^2-400=0
x^2=400
x=√400
x=20
for quadratic equation 4
-16m^2-8m-1=0
multiply the equation by -
16m^2+8m+1=0
16m^2+4m+4m+1=0
4m(4m+1)1(4m+1)=0
4m+1=0 twice
m=-1/4 twice
for quadratic equation 5
-3n^2+75=0
divide both side by -3
-3n^2/-3=-75/-3
n^2=25
n=√25
n=5
g An airplane is flying overhead at a constant elevation of 4000 ft. A man is viewing the plane from a position 3000 ft from the base of a radio tower. The airplane is flying horizontally away from the man. If the plane is flying at a rate of 600 ft/s, at what rate is the distance between the man and the plane increasing when the plane passes over the radio tower
Answer:
A man is viewing the plane from a position. 3000 ft from the base of a radio tower. The airplane is flying horizontally away from the man. If the plane is flying at the rate of 600 ft/sec, at what rate is the distance between ...
I WILL GIVE BRAINLIEST IF YOU ANSWER THIS QUESTION CORRECTLY!What is the shape of the distribution shown below?
Choose 1 answer:
(Choice A)
The distribution is left-tailed.
(Choice B)
The distribution is approximately symmetrical.
(Choice C)
The distribution is right-tailed.
Answer:
pretty sure it's B!
Step-by-step explanation:
B the distribution is approximately symmetrical
convert 300cm to metre
Answer:
3 meters
Step-by-step explanation:
cm to meters is moving decimal to the left 2 times
The variable x varies directly as y and x varies inversely as z. What is the value is y when x=20 and z=-2, if y=30 when z=3 and x=5?
Answer:
Y=-80
Step-by-step explanation:
X=Ky/z
5=30k/3
30k=15
K=1/2
20=Ky/(-2)
Ky =-40
1/2y=-40
Y=-80
Which of the quadratic functions has the narrowest graph?
Step-by-step explanation:
The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.
Two equivalent fractions for 1/6?
Answer:
[tex]\frac{2}{12}[/tex] or [tex]\frac{3}{18}[/tex]
Step-by-step explanation:
[tex]\frac{1}{6} = \frac{2}{12}=\frac{3}{18}[/tex]
I need help with 7-9 please
9514 1404 393
Answer:
7. 4 cm
8. 206 paper cups
9. 175pi cm³
Step-by-step explanation:
7. The formula for the volume of a cone can be used.
V = 1/3πr²h
h = 3V/(πr²) = 3(48π cm³)/(π(6 cm)²) = 144/36 cm = 4 cm
The height of the cone is 4 cm.
__
8. The volume of the cone with the given dimensions is ...
V = 1/3π(4 cm)²(11 cm) = 176/3π cm³ ≈ 184.307 cm³
The number of times this volume can be filled by 10 gallons is ...
(10 gal)(3785 cm³/gal)/(184.307 cm³/cup) = 205.3 cups
206 paper cups are needed.
__
9. We know from the formula for the volume of a cone that it has the same volume as a cylinder 1/3 its height. The composite figure is equivalent to a cylinder with a height of ...
3 cm +(12 cm)/3 = 7 cm
Then the volume is ...
V = πr²h
V = π(5 cm)²(7 cm) = 175π cm³
__
For this, we recognize that the triangle with sides h, 5, and 13 will be a 5-12-13 right triangle, so the height of the conical part of the figure is h=12 cm. If you haven't remembered that Pythagorean triple, you can find the height from the Pythagorean theorem:
h² +5² = 13²
h = √(169 -25) = √144 = 12
Can someone help me with 6? And 8 I posted
Answer:
I answered 6 already. I don't now what 7 means though sorry
Step-by-step explanation:
Solve each of the following equations show its solution set a number line your answers |5-7r| =3
Answer:
R= 2/7 or 8/7
Step-by-step explanation:
make a number line of 1/7 fraction and plot the dots
An airplane is flying at an altitude 0f 2000 feet toward an island. It is at a distance d
of 6500 feet from the landing point. Find the angle of approach,
Answer:
21
Step-by-step explanation:
The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices
A. Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft
B. Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft
C. Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft
D. Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft
Answer:
The correct answer is C.
Step-by-step explanation:
Since the Cosmic Pool company's pool's length is 8ft longer than the width, you can immediately rule out choices A and B, since their widths are greater than their lengths by 8, and not vice versa. This leaves choices C and D. The perimeter of a quadrilateral's formula is [tex]2(l+w)[/tex], which means the length plus the width and multiplied by 2. Using this formula, you can infer that the perimeter is [tex]2(20+12)[/tex] = [tex]2*32[/tex] = 64ft, so choice C is the correct answer.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
The measure of Angle 6 would be 123 degrees.
Step-by-step explanation:
Since A and B are parallel, then Angle 1 and Angle 5 are the same angle. And a straight line is 180 degrees. This means that you would do 180-57, which is 123 degrees.
] 1) Convert the number 2,371,875,908 to scientific notation.
Answer:
2.3718759×10^9
Step-by-step explanation:
Its the answer
Answer:
2.371875908 × 109 is ur answer.
Step-by-step explanation:
hope this helps!
~mina
If Leila continue to eat 8 chips an hour will they ever eat the same amount of chips at the same
time? Explain your reasoning.
Answer:
Step-by-step explanation:
Evaluate the expression 2y + 10 + y2 of y=8
The evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
The considered expression is 2y + 10 + y²
We need to evaluate it at y = 8
Putting 8 in place of y in the expression, we get:
[tex]2y + 10 + y^2|_{y=8} = 2 \times 8 + 10 + (8)^2 = 16 + 10 + 64 = 90[/tex]
Note that small subscript of y = 8 shows that we're evaluating the expression for y = 8.
Also, when symbols are used with multiplication, we usually hide the multiplication sign and just keep the multiplying quantities close to each other, this is why [tex]2 \times y[/tex] was written 2y in the expression.
Thus, the evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.
Learn more about evaluating a function at a value here: https://brainly.com/question/2753269
All other things being equal, by how much will nominal GDP expand if the central bank increases the money supply by $100 billion, and the velocity of money is 3?
If the central bank increases the money supply by $100 billion and the velocity of money by 3, then the nominal GDP will increase by $300 billion.
Mark brainlist plz
The value of nominal GDP, when the central bank increases the money supply by $100 billion, and the velocity of money is 3, is 300.
What is the equation of exchange?
The equation of exchange can be given as,
[tex]M\times V=P\times Q[/tex]
Here, (M) is the money supplied, (V) is the velocity of the money, (P) is level of price and (Q) is Real GDP.
The central bank increases the money supply by $100 billion, and the velocity of money is 3. Here, we have,
[tex]M=300\\V=3[/tex]
The product of level of price and Real GDP is nominal GDP.
[tex]M\times V=P\times Q\\100\times 3=\text{Nominal GDP}\\\text{Nominal GDP}=300[/tex]
Thus, the value of nominal GDP, when the central bank increases the money supply by $100 billion, and the velocity of money is 3, is 300.
Learn more about the nominal GDP here;
https://brainly.com/question/12291963
what is the rule for (f - g) (x)?
Answer:
where is the question check well please
Historical evidence indicates that times between fatal accidents on scheduled American domestic passenger flights have an approximately exponential distribution. Assume that the mean time between accidents is 43 days. What is the variance of the times between accidents
Answer:
The variance of the times between accidents is of 1849 days squared.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The variance of the exponential distribution is:
[tex]Var = \frac{1}{\mu^2}[/tex]
Assume that the mean time between accidents is 43 days.
This means that [tex]m = 43, \mu = \frac{1}{43}[/tex]
What is the variance of the times between accidents?
[tex]Var = \frac{1}{(\frac{1}{43})^2} = 43^2 = 1849[/tex]
The variance of the times between accidents is of 1849 days squared.
Function f(x) has a jump discontinuity at x = 8. Which statement identifies possible one-sided limits at x = 8?
lim flx) DNE and lim f(x) DNE
lim f(x) DNE and lim Flx) = 120
lim flx) = 85 and lim f(x) = 85
*-37
lim Flx) = 85 and lim flx) = 120
O
Answer:
D
Step-by-step explanation:
EDGE 2021
The limit of the given functions f(x)=85 and lim f(x)=120.
If any of the following conditions are met, a function is said to be discontinuous:
The function at x = a has left- and right-hand bounds, but they are not equal.The function at x = a has a left-hand limit and a right-hand limit that exist, are equal, but are not equal to f(a).We have given that,
Function f(x) has a jump discontinuity at x = 8.
We have to determine a statement that identifies possible one-sided limits at x = 8.
Then, lim f(x)=85 and lim f(x)=120
learn more about limit here:
brainly.com/question/26867415
#SPJ7
Can someone help me please?
Answer:
I love pizza math :P
Step-by-step explanation:
column 1 column 2
2/3 2/5
1/4 3/4
1/3 4/5
1/2 1/6
Is it time for pizza now? :P
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The temperature outside in the morning was -8°C. The temperature rose 6 degrees in the
afternoon. Then, in the afternoon it fell 4 degrees. What is the temperature outside in the
evening?
blank plus 1/5 equals to 1/2
Answer: 3/10
Step-by-step explanation:
To get the value for the blank, treat it as a variable. Let’s say this blank is x.
x + 1/5 = 1/2
Subtract 1/5 from both sides:
x = 1/2 – 1/5
x = 3/10
The blank is 3/10.
Hope this helps!
The mean price for used cars is $10,550. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at the dealership in an attempt to determine whether the population mean price for used cars at this particular dealership differed from the national mean. The prices for the sample of 50 cars are contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.
a. Formulate the hypotheses that can be used to determine whether a difference exists in the mean price for used cars at the dealership.
b. What is the p-value?
c. At αα= .05, what is your conclusion?
Answer:
go to algebra answers.com
Step-by-step explanation:
cm
5 cm
5.8 cm
6.3 cm
8 cm
Lateral Surface Area =
cm squared
Total Surface Area =
cm squared
Volume
cm cubed
I will give you brainlest
Can you help me!!! This is due in a couple hours
Answer:
A (1,3,2)
:))
which table shows a relationship between the values of x and y that represents a linear function?
What is the volume of the cube of 3.1 m?
Answer:
21.79 idrk good luck sbnsjsnsjsnsjznsnz xnddn
Answer:
V = A3 i believe im not at explaining stuff ;^;
- Fritz worked a total of 22 hours
per week at two jobs. He worked
12 hours per week at one job.
Which equation can be used to
find h, the number of hours Fritz
worked per week at his other job?
A 22-h=12
B 12 +22=h
C 22 + h = 12
Dh - 22 = 12
HELP TIMED URGENT PLS
Answer:
3 cm!
Step-by-step explanation:
Volume= length times width times height
90/3=30
30/10=3!