Answer:
(0,1)
Step-by-step explanation:
Any real number to the power of 0, including 6, is equal to 1. Therefore, f(0) is 1, and the y intercept is (0,1). Hope this helps!
factor the polynomials.
1. a^2+16a+64
Answer:
(a + 8) (a + 8)
Step-by-step explanation:
a² + 16a + 64
a² + 8a + 8a + 64
a(a + 8) + 8(a + 8)
(a + 8) (a + 8)
Find the measure of and angle between o degrees and 360 degrees coterminal with an angle of 399 degrees in standard position
Answer:
39 degrees.
Step-by-step explanation:
We want an angle x such that 0 < x < 360 and angle x is coterminal with an angle of measure 399 degrees.
so x = 399 - 360 = 39 degrees
The length of a rectangle is 9 inches less than twice the width . If the perimeter of the rectangle is 84 inches find the dimensions of the rectangle
Answer:
25 by 17
Step-by-step explanation:
9x2=18
84=18= 102
102/6 = 17 (width)
17x2-9=25 (length)
Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number.
Diameter = 3 cm, Height = 4 cm
a.
57 cu. cm
b.
25 cu. cm
c.
38 cu. cm
d.
9 cu. cm
Answer:
c
Step-by-step explanation:
The volume of the cone with a diameter of 3 cm and height of 4 cm is calculated using the formula V = (1/3)πr²h. After finding the radius to be 1.5 cm, we get the volume to be 9.42 cm³, which rounds to 9 cm³.
First, we calculate the radius of the cone which is half of the diameter. That gives us a radius (r) of 1.5 cm. Plugging the values into the formula, we get:
V = (1/3)π(1.5 cm)²(4 cm)
V = (1/3)π(2.25 cm²)(4 cm)
V = (1/3)π(9 cm³)
V = 3 π cm³
V = 3 π cm³
V = 3 × 3.14 cm³
V = 9.42 cm³, which rounds to 9 cm³ to the nearest whole number.
The correct option is d. 9 cu. cm.
TIME SENSITIVE! PLEASE HELP!
A state license plate consists of three letters followed by three digits. If repetition is allowed, how many different license plates are possible?
A) 17,576,000
B) 12,812,904
D) 7,862,400
Answer:
Answer choice A
Step-by-step explanation:
For the first letter, there are 26 options, as there are for the second and third letter. For each of the three numbers, there are 10 digits to choose from. Therefore, 26*26*26*10*10*10=17,576,000, or answer choice A. Hope this helps!
Option (A) the number of different ways of license plate arrangements are 17,576,000 is the correct answer.
What is a permutation?A permutation is an arrangement of objects in a definite order. It is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
For the given situation,
A state license plate consists of three letters followed by three digits.
There are 26 letters from a to z and 10 digits from 0 to 9.
The license plate consists of three letters and three digits so the possibility of arrangements are
⇒ [tex](26)(26)(26)(10)(10)(10)[/tex]
⇒ [tex]17576000[/tex]
Hence we can conclude that option (A) the number of different ways of license plate arrangements are 17,576,000 is the correct answer.
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answer quick for brainliest...
Answer:
B-y=2
Step-by-step explanation:
y= 2x-2
X=2
y=2(2)-2
y=4-2
y=2
Human intelligence is often measured with an Intelligence Quotient (IQ) test. IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. If one person were selected at random to take an IQ test, what is the probability that he or she would score between 90 and 110?
Answer:
[tex]P(90<X<110)=P(\frac{90-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{110-\mu}{\sigma})=P(\frac{90-100}{15}<Z<\frac{110-100}{15})=P(-0.67<z<0.67)[/tex]
[tex]P(-0.67<z<0.67)=P(z<0.67)-P(z<-0.67)[/tex]
[tex]P(-0.67<z<0.67)=P(z<0.67)-P(z<0.67)=0.749-0.251=0.498[/tex]
Step-by-step explanation:
Let X the random variable that represent the IQ scores, and for this case we know the distribution for X is given by:
[tex]X \sim N(100,15)[/tex]
Where [tex]\mu=100[/tex] and [tex]\sigma=15[/tex]
We want to find this probability
[tex]P(90<X<110)[/tex]
And we can use the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
If we apply this formula to our probability we got this:
[tex]P(90<X<110)=P(\frac{90-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{110-\mu}{\sigma})=P(\frac{90-100}{15}<Z<\frac{110-100}{15})=P(-0.67<z<0.67)[/tex]
And we can find this probability with this difference:
[tex]P(-0.67<z<0.67)=P(z<0.67)-P(z<-0.67)[/tex]
And in order to find these probabilities we can use the normal standard table or excel and we got.
[tex]P(-0.67<z<0.67)=P(z<0.67)-P(z<0.67)=0.749-0.251=0.498[/tex]
Angles A and B are complementary. Two separate angles are shown. Angle A is (x + 22) degrees. Angle B is x degrees. What is the value of x? 34 56 68 79
Answer: 34
Step-by-step explanation:
(x+22) + x = 90
Given that angles A and B are complementary. Angle A is (x + 22) degrees. Angle B is x degrees. The value of x is 34°.
What are complementary angles?When the sum of two angles is equal to 90 degrees, they are called complementary angles.
(x + 22) + x = 90
2x + 22 = 90
2x = 68
x = 34
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A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is given by s left parenthesis t right parenthesis equals negative 16 t squared plus 126 t. At what times will the ball be 211 feet from the ground?
Answer:
t = 5.46 secs and t = 2.42 secs
Step-by-step explanation:
The distance of the ball from the ground is given by:
[tex]s(t) = -16t^2 + 126t[/tex]
When the ball is at a distance 211 ft from the ground, that means s(t) = 211 ft. we need to find t:
[tex]211 = -16t^2 + 126t[/tex]
[tex]=> 16t^2 -126t + 211 = 0[/tex]
Using the quadratic formula:
[tex]t = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex] and [tex]t = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]
where a = 16, b = 126 and c = 211
Hence:
[tex]t = \frac{-(-126) + \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex] and [tex]t = \frac{-(-126) - \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex]
[tex]t = \frac{126 + \sqrt{15876 - 13504} }{32}[/tex] and [tex]t = \frac{126 - \sqrt{15876 - 13504} }{32}[/tex]
[tex]t = \frac{126 + \sqrt{2372} }{32}[/tex] and [tex]t = \frac{126 - \sqrt{2372} }{32}[/tex]
[tex]t = \frac{126 + 48.703 }{32}[/tex] and [tex]t = \frac{126 - 48.703 }{32}[/tex]
[tex]t = \frac{174.703}{32}[/tex] and [tex]t = \frac{77.297}{32}[/tex]
=> t = 5.46 secs and t = 2.42 secs
This means that the ball will be at 211 feet at two different times, first, after 2.42 seconds and then after 5.46 seconds.
This makes sense because the ball is projected upwards, which means that when going up, it attains 211 feet and also, when coming back down, it also attains 211 feet.
To determine the time when the ball is 211 feet off the ground, set s(t) equal to 211 and solve the resulting quadratic equation (-16t^2 + 126t - 211 = 0) using the quadratic formula. Discard the negative solution as it represents a time before launch.
Explanation:In response to the given question, we need to determine the time when the ball is 211 feet from the ground given the formula s(t)=-16t^2 + 126t. This is a quadratic equation which can be solved for t using the quadratic formula.
First, we need to set the equation equal to 211 to solve for when the ball is this distance off the ground. So, -16t^2 + 126t = 211. Rearrange the equation: -16t^2 + 126t - 211 = 0.
Now, apply the quadratic formula t = [-b ± sqrt(b^2 - 4ac)] / 2a, where a = -16, b = 126, and c = -211. This yields two solutions corresponding to the times at which the ball is 211 feet from the ground. The negative solution represents a moment before the ball is launched, hence we discard it. The positive value is the time at which the ball attains a height of 211 feet.
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8. A polyhedron has 15 edges and 10 vertices. How many faces does it
have? *
Answer:
In geometry, the pentagonal prism is a prism with a pentagonal base. It has with 7 faces, 15 edges, and 10 vertices
Step-by-step explanation:
can someone do this please
Answer:
x = 16
Step-by-step explanation:
4x - 7 = 3x + 9
4x = 3x + 16
1x = 16
x = 16
how do i calculate the standard deviation?
Answer:
1.Work out the Mean (the simple average of the numbers)
2.Then for each number: subtract the Mean and square the result.
3.Then work out the mean of those squared differences.
4.Take the square root of that and we are done!
Step-by-step explanation:
Answer:
To calculate the standard deviation of those numbers: Work out the Mean the simple average of the numbers. Then for each number: subtract the Mean and square the result. Then work out the mean of those squared differences. It was easy. Have a great day.
Step-by-step explanation:
Brainliest!
What is the √84 in radian form?
Which expression has a value equal to the
value of the expression
4 × [(12 + 4) − (12 ÷ 3)]
Answer:
Solving the expression, it is equal to 48. But it you want and expression equal to 48:
4 x 12 can be the answer.
Step-by-step explanation:
[tex]$4\cdot \left[\left(12\:+\:4\right)\:-\:\left(\frac{12}{3}\right)\right]$[/tex]
[tex]4\left(12+4-4\right)[/tex]
[tex]4 \cdot 12\\48[/tex]
what is the equation to any vertical asymptotes or the x coordinations of any points of discontinuity?
f(x)=2/x-4
Answer:
748 is the answer
Step-by-step explanation: toda
Find the measure of angle B. Round your answer to the nearest degree.
sin B = 0.8659
a 30°
b 60°
C 40
d 20
Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.
1. (x + 3)(x + 4) = 12
2. x + 3 = 12 or x + 4 = 12
3. x = 9 or x = 8
Answer:
Percy is incorrect
Step-by-step explanation:
I plugged in 9 and 8 for x and both of them did NOT solve it. The only number I know of that can solve it is -7. -7^2=49
-7 multiplied by 7 =-49
(49) + (-49) + 12 = 12
Answer:
Percy was not correct.
Percy did not write the equation in standard form before factoring.
The correct solutions are 0 and –7.
The equation should have first been written as x2 + 7x = 0 before factoring.
The solutions 8 and 9 do not make the equation true.
Step-by-step explanation:
:
The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What is the total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form a×10b, what are the values of a and b?
Answer:is yes
Step-by-step explanation:
no
Answer:
A= 8.182
B= 8
Step-by-step explanation:
Which of the following describes the transformations of g (x) = negative (2) Superscript x + 4 Baseline minus 2 from the parent function f (x) = 2 Superscript x?
shift 4 units left, reflect over the x-axis, shift 2 units down
shift 4 units left, reflect over the y-axis, shift 2 units down
shift 4 units right, reflect over the x-axis, shift 2 units down
shift 4 units right, reflect over the y-axis, shift 2 units down
Answer:
A. on EDG
Step-by-step explanation:
took quiz!!!!!
Answer: A
Step-by-step explanation:
edge 2023
Can someone Help plz
Answer:
I wish i could help but im dumb :(
Step-by-step explanation:
Answer:
Option 2
Step-by-step explanation:
V= Base x Height
If the Height = 15in and the V = 90in^3 then 90 ÷ 15 = 6
Please mark brainliest ;)
On the 25th of every month, Tamesha pays her rent
by writing the amount on a small official preprinted
note that contains information about a checking
account. She puts this note in an envelope and
drops it off at the post office.
A tree cutting business has an insurance policy to cover any damages caused during the tree cutting process. The business pays an annual premium of $1,500 for a policy that covers up to $500,000 in damages. The probability of a tree causing damage is 0.002. What is the expected value?
Answer:
-$500
Step-by-step explanation:
The expected value of a payment from the policy is ...
$500,000 × 0.002 = $1000
Since the business pays $1500 for the policy, the expected value to the business is ...
$1000 - 1500 = -$500 . . . per year
_____
Of course, the expected value to the insurance company is $500 per year.
_____
We have computed on the basis of 1 claim per year. If we consider the possibility of multiple independent claims, then the expected payment from the insurance goes up by a factor of 1/(1 -0.002) ≈ 1.002004008016.... This has the effect of increasing the expected value by $2.00 per year to -$498.
A book costs $25. It goes on sale for $19. What is the percent of decrease?
Answer:
31.5789%
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
If you use the "is over of" form.
"19 is what percent of 25"
You'd set it up like this:
[tex]\frac{19}{25}[/tex]=[tex]\frac{x}{100}[/tex]
Then cross multiply:
19 times 100 = 1900
25 times x = 25x
Divide 25 into 1900 and get 76.
That is the percent (%) of what 19 is of 25.
BUT we want the space in between the numbers.
To get that, we subtract 100 - 76.
(100 is the whole 100%)
This gives you 24%
If a quadratic graph opens down does it have a maximum or a minimum?
Answer:
The answer to this question is maximum
Answer:
Maximum
A downward parabola will have the highest point at the very top, so it will have a maximum.
Pease help, will give 50+ points and brainliest!
Answer:
For the first one it would be 84
Second: 45
Step-by-step explanation:
First one: 7 times 12.
Second: add 30 and 30 together which is 60. Then divide 30 in half which is 15. Then add 15 to 30.
Answer:
3. 84 inches
4. 75 miles
Step-by-step explanation:
3.
Scale = 1/12 × actuall
7 = 1/12 × actual
actual = 7 × 12 = 84 inches
4.
Map : actual
1 in : 30 miles
2.5 in : X miles
X/2.5 = 30/1
X = 2.5×30 = 75 miles
12. Find the slope of (-6, 19), (-8,-4)
The answer would be M= 23/2 or 11.5.
WILL GIVE BRAINLEIST! :Given a traffic cone has a base diameter of 12 inches and a height of 28 inches, which is the closest volume of the cone?
A- 2,463.01 in33
B- 3,166.73 in33
C- 4,222.3 in33
D- 1,055.58 in3
Answer:
1,055.58 in^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
We need the radius
r = d/2 = 12/2 =6
V = 1/3 (pi) (6)^2 *28
Using the pi button on the calculator
=1055.575132
Rounding to 2 decimal places
1,055.58 in^3
What is the base of y=Inx
Answer:
The base is natural number e = 2.71828...
Step-by-step explanation:
By definition of natural log, the base is e = 2.71828...
The base of the function y = ln(x) is the irrational number e (approximately 2.71828).
Explanation:The base of the function y = ln(x) is the base of the natural logarithm, which is the irrational number e (approximately 2.71828). The natural logarithm function ln(x) is the inverse function of the exponential function e^x. So, if y = ln(x), then x = e^y.
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What is the mode for 20 sites?
The answer is 2 and 1. Hope this help btw
I’ll give out brainliest just please help me out ((trigonometry))
A radio station tower was built in 2 sections. From a point 97 from the base of the tower, the angle of elevation of the top of the first section is 25, and the angle of elevation of the top of the second section is 40.
To the nearest foot, what is the height of the top of the tower. Explains how you found the answer
Answer:
Step-by-step explanation:
I am so sorry what grade is this?