Answer:
6
Step-by-step explanation:
g(f(0)) means that the input of f(x) is 0 and this value of f(x) found is the input of g(x). This is known as composite functions.
Let's find the value of f(0).
f(x)= x²
f(0)= 0²
f(0)= 0
Now, we can find the value of g(f(0)).
g(x)= x +6
g(f(0))
= g(0)
= 0 +6
= 6
if a+b = -6 , a^2 + b^2 = 20 then ab =
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
By squaring the sum of two variables identity ~
[tex]\qquad \sf \dashrightarrow \:(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab[/tex]
Now, plug in the given values ~
[tex]\qquad \sf \dashrightarrow \:( - 6) {}^{2} = 20 + 2ab[/tex]
[tex]\qquad \sf \dashrightarrow \:36 = 2(10 + ab)[/tex]
[tex]\qquad \sf \dashrightarrow \:10 + ab = 36 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:10 + ab = 18[/tex]
[tex]\qquad \sf \dashrightarrow \:ab = 18 - 10[/tex]
[tex]\qquad \sf \dashrightarrow \:ab = 8[/tex]
I hope it was clear through my steps ~
Answer:
8
Step-by-step explanation:
(a+b)^2 = (-6)^2
a^2 + 2ab + b^2 = 36
a^2 + b^2 = 36 - 2ab
Equating 36 - 2ab with 20
36 - 2ab = 20
2ab = 16
ab = 8
Hope this helps out, feel free to mark this answer as brainliest :)
3 + 15 + 75 + 375 + 1,875
What’s the sigma notation
Answer:
292,968
Step-by-step explanation:
easy question quickly please!!!
Answer:
D
Step-by-step explanation:
4 x 8 = 32
4 x 16 = 64
4 x 32 = 128
4 x 64 = 256
They can be multiplied by something and 4
Why is Dexter’s claim incorrect? 8-4 Additional practice
By talking to his baby sister differently from the way he speaks to his teacher, this shows that he is developing an understanding of pragmatics.
What is pragmatics?This can be used to explain the part of linguistics that has to do with the use of language in its given context.
The use of pragmatics comes up in conversations, and implications of what is being said.
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please please help. Will give brainliest
A cone has a radius of 2 feet and a height of 6 feet. How many cones of liquid would it take to fill a cylinder with a diameter of 4 feet and a height of 6 feet? Complete the explanation. The radius of the cylinder is the same as the radius of the cone. The height of the cylinder is double the height of the cone. So, it will take cones to equal the volume of the cylinder.
Answer:
17 3/4 feet.
Step-by-step explan
Help me pleaseeee 25 points.
area of semicircle + area of square + area of semicircle
I think 149.04 in²
The difference of twice a number and 3 is at most-26.
Answer:
x < & = -23/2
Step-by-step explanation:
Let a number be x.
Twice a number = 2x
2x - 3 = -26 and 2x - 3 < -26
2x = -23 and 2x < -23
x = -23/2 and x < -23/2
Find the volume and surface area of the figure. Round to the nearest hundredth.
V = ________m^3
S.A. = _______m^2
Answer:
Step-by-step explanation:
help me pls pls pls pls pls pls
Answer:
2.25 square inches
Step-by-step explanation:
SOLUTION,
HERE,
AREA OF SQUARE = L²
=(1.5)²
= 2.25 INCHES²
Answer:
2.25 inches
Step-by-step explanation:
The area of a square is two of its sides multiplied together. Each side is 1.5 inches. If you multiply 1.5x1.5, you get 2.25 inches.
I need helppppppp :((
The value of minor arc, major arc and central angles given below:
What is an arc?An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc.
Given: BOF= 126
angle BOF= angle COE= 126 (Vertically opposite angle)
Now,
angle BOF + angle BOC= 180 (Linear pair)
BOC=180-126= 54
and, COE= COD+ DOE
= COD+COD
126 =2COD
COD= 63
now, BOD= BOC++COD
= 54+63
= 117
Arc length of BCD= 87/360*2πr
= 2.041r
2. minor arc:
arc BF= 126/360* 2πr
= 2.198r
arc FE= 54/360*2πr
= 0.942r
arc DE= 63/360*2πr
= 1.099r
arc CD= 63/360*2πr= 1.099r
arc CDE=126/360*2πr
= 2.198 r
3. major arc
arc BFED= 243/360*2πr
= 4.239r
arc FBCD= 243/360*2πr
= 4.239r
arc DCBFE= 297/360*2πr
= 5.181r
arc CBFE= 234/360*2πr
= 4.082r
4. 6 central angles
BOC= 54= FOE
COD=63=DOE
BOF=126
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Four friends are planning a party at a skating rink. The friends must pay $3 for
each person attending the party. They will also spend $36 on snacks. If each
friend contributes $21 to the party, what is the maximum number of people that
can attend the party?
16
19
28
48
Answer:
The answer is 28. It is easy.
3 to the third power minus 4 to the second power
Answer:
3^3-4^2=11
Step-by-step explanation:
3^3=27
4^2=16
27-16=11
Trigonometric Identities:
Verify the identity [tex]\frac{sin(a+b)}{sin(a-b)}[/tex] = [tex]\frac{tan(a)+tan(b)}{tan(a)-tan(b)}[/tex]
Take RHS
[tex]\\ \rm\Rrightarrow \dfrac{tanA+tanB}{tanA-tanB}[/tex]
tanØ=sinØ/cosØ[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{sinA}{cosA}+\dfrac{sinB}{cosB}}{\dfrac{sinA}{cosA}-\dfrac{sinB}{cosB}}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{sinAcosB+cosAsinB}{cosAcosB}}{\dfrac{sinAcosB-cosAsinB}{cosAcosB}}[/tex]
cancel cosAcosB[tex]\\ \rm\Rrightarrow \dfrac{sinAcosB+cosAsinB}{sinAcosB-cosAsinB}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{sin(A+B)}{sin(A-B)}[/tex]
Some important identities
[tex]\boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ $\: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1$\end{minipage}}[/tex]
Answer:
[tex]\boxed{\begin{minipage}{6 cm}\underline{Trigonometric Identities}\\\\$\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B\\\\ \dfrac{\sin A}{\cos A}=\tan A$\\\end{minipage}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)} \times \dfrac{\dfrac{1}{\cos (a) \cos (b)}}{\dfrac{1}{\cos (a) \cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} + \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} - \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a)}{\cos (a)} + \dfrac{\sin (b)}{\cos (b)}}{\dfrac{\sin(a)}{\cos (a)} - \dfrac{\sin (b)}{\cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)}=\dfrac{\tan(a)+\tan(b)}{\tan(a)-\tan(b)}[/tex]
Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s gross profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5%
Answer:
actually its A... i know cause i got it WRONG
Step-by-step explanation:
The gross profit margin for Korey’s Comics given the net sales, gross profit and net income is 76.3%.
What is the gross profit margin?Gross profit margin is a profitability ratio. It is used to measure the financial health of a company and used to determine the efficiency with which the firm generates profits.
Gross profit margin = gross profit / net sales
3320 /3320 = 76.3%
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what is anwer ok ok ok
Answer:
3: equally likely
4: likely
Step-by-step explanation:
Question 3:
the spinner has 1, 2, 3, 4, 5, 6
2, 4, 6 are all even number which is 3 / 6 = 1 / 2
so half a chance can be odd or half even possibility of landing
Question 4:
- 13 yellow
- 4 green
- 3 blue
total marbles: 13 + 4 + 3 = 20
yellow / total = 13 / 20
which is more than half of the marbles are yellow
the answer equally
Step-by-step explanation:
equally
Prove: An odd number squared is an odd number. = (2n + 1)2
Answer:
[tex] {(2n + 1)}^{2} = 4 {n}^{2} + 4n + 1 = 2(2 {n}^{2} + 2n) + 1[/tex]
Nevaeh leans a 22-foot ladder against a wall so that it forms an angle of 64 degrees with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundreth of a foot if necessary
Answer:
19.77 ft
Step-by-step explanation:
The ladder is the hypotenuse of a right triangle ....one leg is the house , the other leg is the ground.
sin 64 = opposite/hypotenuse = height /22
sin 64 = height / 22
22 * sin 64 = height = 19.77 ft
HURRY ITS URGENT!!!!
9. If the equation (x+a)?=b has non-real solutions where a and b are real
numbers, which of these must be true?
A b-a is not a perfect square
B.
bis not a perfect square
C. b-aco
D. b <0
Which statements are true regarding this scenario? check all that apply. the sample space is {1, 2, 3, 4, 5, 6}. the expected value for the game is 0. the expected value for the game is one-half. the game is fair because the expected value is equal to 0. the game is unfair because the expected value does not equal 0.
Based on the game involving rolling a number cube, the applicable statements are:
The sample space is {1, 2, 3, 4, 5, 6}. The expected value for the game is 0. The game is fair because the expected value is equal to 0.What happens in a game involving rolling a number cube?There are six sides of a number cube which means that the sample space is all the sides the cube can land on which are 1,2,3,4,5, and 6.
Because there are 3 odd numbers which can give you a negative point, and 3 even numbers which can give a point, the expected value is 0 as these cancel each other out.
This makes the game fair because situations that have an expected value of 0 are considered fair because there are no expected losses or profits.
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Answer:
A,C,D
Step-by-step explanation:
short and simple for you ;)
You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. the study is reported with 90% confidence level. explain how to determine if 48.8 is within the confidence interval.
Using the t-distribution, it is found that the 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 225 - 1 = 224 df, is t = 1.6517.
The other parameters are given as follows:
[tex]\overline{x} = 48.5, s = 1.8, n = 225[/tex].
Hence the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 48.5 - 1.6517\frac{1.8}{\sqrt{225}} = 48.3[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 48.5 + 1.6517\frac{1.8}{\sqrt{225}} = 48.7[/tex]
The 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
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A is the center of the circle, solve the following:
(34) x =
(35) y =
Pasos
(34)x=(35)y=
La ecuación está en formato estándar.
34x=35y
Divide los dos lados por 34.
34
34x
=
34
35y
Al dividir por 34, se deshace la multiplicación por 34.
x=
34
35y
I need help I don’t know the answer
Answer: The date tree is 3 times as tall as the lemon tree
Step-by-step explanation:
There are two trees.
Date tree = unknown height
Lemon tree = 8 feet
Equation
? = 3 x 8
We can assume that the 8 in the equation is the height of the lemon tree since it was already given. The equation's purpose is to find the height of the date tree resulting in 3 times 8 which is 24.
If we compare their heights, we can say that the date tree is 3 times taller than the lemon tree since 24 is 3 times greater than 8.
Simplify.
Remove all perfect squares from inside the square root. Assume aaa is positive.
\sqrt{27a}=
Answer:
I hope this is the whole question
Step-by-step explanation:
Well I can only see one way and it is this...
[tex]\sqrt{27a}[/tex] = [tex]\sqrt{3.3.3.a}[/tex]
= [tex]3\sqrt{3a}[/tex]
I got rid of one perfect-square. I dont think you can do much more.
A total of 337 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 fewer student tickets sold than adult tickets. How many adult tickets were sold?
The total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number of adult tickets is x
So the number of student tickets is (x-73)
x + (x-73) = 337
2x—73 = 337
2x = 410
x = 205 tickets
Thus, the total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.
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a. If the swimming pool is 4 feet deep, what is the approximate volume of the swimming pool?
Answer:
64 ft³
Step-by-step explanation:
given that l = 4 ft
Since a swimming pool is like a cube
:- V= l³
V = 4³
V = 64 ft³
What is the sum of the angles in the diagram?
what is the value of...
4x - x + 5, when x = 3
???
Answer:
The value of 4x-x + 5 when x + 3 is 14
Step-by-step explanation:
4(3)= 12 - 3= 9 + 5= 14
The value of 4x - x + 5 when x = 3 is 14.
To find the value of 4x - x + 5 when x = 3, we substitute the value of x into the expression and simplify.
Plugging in x = 3, we have:
4(3) - 3 + 5
Now let's simplify each term:
4(3) = 12
-3 = -3
Now we can substitute the simplified terms back into the expression:
12 - 3 + 5
Next, we perform the addition and subtraction in order from left to right:
12 - 3 = 9
9 + 5 = 14
Therefore, the value of 4x - x + 5 when x = 3 is 14.
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HELP ASAP!!! PLEASE SHOW SOLUTIONS!!
Answer:
84 ways3,780 numbers3,628,800 waysStep-by-step explanation:
Solving :
Q1
No. of ways to choose 6 from 9 :⁹C₆ = 9! / 6! 3! 9 x 8 x 7 x 6! / 6! x 3 x 23 x 4 x 728 x 384 waysQ2
No. of numbers with distinguishable digits :9! / 4! 2! 2!9 x 8 x 7 x 6 x 5 x 4! / 4! x 2 x 29 x 2 x 7 x 6 x 510 x 63 x 6378 x 103,780 numbersQ3
No. of ways to arrange :10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 290 x 56 x 30 x 245040 x 7203,628,800 ways2 similar rectangular pyramids have a similarity ratio of 4:5. What is the ratio of their volumes? Put your answer in the form a:b
Answer:
64:125
Step-by-step explanation:
When you go from a length ratio to an area ratio you need to square the numbers involved: [tex]4^{2} :5^{2}[/tex] = 16 : 25
By the same logic, if you want to go from length to volume you need to cube the numbers involved: [tex]4^{3} :5^{3}[/tex] = 64 : 125
