Answer:
g(f(0)) = 6
Step-by-step explanation:
Evaluate f(0 ) and substitute this value into g(x)
f(0) = 0² = 0 and
g(0) = 0 + 6 = 6
⇒ g(f(0)) = 6
The value of g(f(0)) is 6.
Definition of g(f(x)) -If two functions f(x), g(x) are present , then (f o g) of x is also known as a composite function and it is mathematically denoted as f(g(x)) or (f ∘ g)(x). It means that x = g(x) should be substituted in f(x). It is an operation that combines two functions to form another new function.
How to find the value of g(f(0)) as given in the question ?Given , f(x) = [tex]x^{2}[/tex] and g(x) = x + 6
We have to find g(f(0)).
To get the value of this composite function g(f(x)), we first have to find the value of f(x) at the given value x = 0 and then substitute the value of f(x) into g(x).
⇒ f(0) = 0.
∴ g(f(0)) = g(0) = 0 + 6 = 6.
Therefore we have the value of g(f(0)) as 6.
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Solve for x: (2/5)(x-4)=2x
Simplify brackets
2/5(x - 4) = 2x
Simplify 2/5(x - 4) to 2(x - 4)/5
2(x - 4)/5 = 2x
Multiply both sides by 5
2(x - 4) = 10x
Divide both sides by 2
x - 4 = 5x
Subtract x from both sides
-4 = 5x - x
Simplify 5x - x to 4x
-4 = 4x
Divide both sides by 4
-1 = x
Switch sides
x = -1
What is 35.77 rounded off to the nearest whole number
Answer:
36
Step-by-step explanation:
since the .77 is larger than .5, you automatically round it up
Answer:
36
Step-by-step explanation:
The number 35.77 is closest to 36. It's all about the destimal, if we had 35.44 that's not above 50 so it would be 34. This would apply to any whole number.
Solve for x: 27/x +29=38
Answer:
x=3
Step-by-step explanation:
27/x +29=38
Multiply all terms by x and cancel:
27+29x=38x
29x+27=38x(Simplify both sides of the equation)
29x+27−38x=38x−38x(Subtract 38x from both sides)
−9x+27=0
−9x+27−27=0−27(Subtract 27 from both sides)
−9x=−27
−9x
−9
=
−27
−9
(Divide both sides by -9)
x=3
To solve for x, subtract 29 from both sides, multiply both sides by x, then divide both sides by 9 to get x = 3.
Explanation:To solve for x in the equation 27/x + 29 = 38, you first want to isolate the term with x. We can do that by subtracting 29 from both sides to get: 27/x = 38 - 29, simplified to 27/x = 9.
Next you want to get rid of the x in the denominator, which implies multiplication. You can multiply both sides of the equation by x, which will give: 27 = 9x.
To finally solve for x, divide both sides by 9 to get x = 27/9, so, x = 3.
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70p divided by p squared
Help! Will give brainliest! (Whatever it’s called )
Thank you!!
Find the surface area! :)
Answer:
A=777.54
Step-by-step explanation:
What you do is use the formula which is
a=2pirh+2pir^2.
The radius is half the diameter and the diameter is 15 so you take 15 and divide it by 2 to get 7.5.
The height is 9 m.
A=2(3.14)(7.5)(9)+2(3.14)(7.5)^2=777.54 m.
Answer:
777.15 m^2
Step-by-step explanation:
To find the surface area of a cylinder
SA = 2 pi r h + 2 pi r^2
The area of the sides Plus the area of the top and bottom
We know the diameter is 15 so the radius is 1/2 (15) = 7.5
SA = 2 * pi * (7.5) * 9 + 2 * pi * (7.5)^2
= 135pi + 112.5pi
247.5 pi
Approximating pi with 3.14
247.5 (3.14)
777.15 m^2
Plz help me I’m very confused plz explain I really need help
Since she has the most heads come up, making her chances to be best of getting heads.
-----------------------------------------------------------------------------------------------
Answer for problem 8 is D) JessicaDivide each of the four values (102, 164, 75, 139) by 250 to get
102/250 = 0.408
164/250 = 0.656
75/250 = 0.300
139/250 = 0.556
We see that Jessica's empirical probability of 0.556 is closest to that of 1/2 = 0.500 which is the theoretical probability of getting heads.
La réponse au problème 7
est B) Kelly
La réponse au problème 8
est D) Jessica
102/250 = 0,408
164/250 = 0,656
75/250 = 0,300
139/250 = 0,556
Nous voyons que la probabilité empirique de Jessica de 0,556 est la plus proche de celle de 1/2 = 0,500 qui est la probabilité théorique d'obtenir des têtes.
What is the radius of 8 cm. What is the radius, diameter,circumference
the radius is 8cm,the diameter is 16cm,and the circumference 50.27.
Answer:radius=8cm diameter=16cm
Circumference=16π
Step-by-step explanation:diameter= r•2 Circumference=2•π•r
write an expression to represent:
Eight less than the product of two and a number X.
2X - 8 is used to represent Eight less than the product of two and a number X.
How to write the equationTo represent "Eight less than the product of two and a number X" as an expression, we can use the following equation:
2X - 8
In this expression, 2X represents the product of two and the number X, and subtracting 8 from it gives us "eight less than the product of two and a number X."
The product of two and the number X is obtained by multiplying 2 and X, which gives us 2X.
The expression "2X - 8" then subtracts 8 from the product 2X. This subtraction of 8 represents "eight less than" the product of two and a number X.
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Is change in math always represented as a positive number even when its negative?
Joan wants to reduce the area of her posters by one-third. Draw lines to match the original dimensions in the left column with the correct new area in the right column. Not all dimensions will have a match.
Answer:
1) [tex]30\ in\ by\ 12\ in[/tex] --------> [tex]120\ in^{2}[/tex]
2) [tex]30\ in\ by\ 18\ in[/tex] --------> [tex]180\ in^{2}[/tex]
3) [tex]12\ in\ by\ 15\ in[/tex] --------> [tex]60\ in^{2}[/tex]
4) [tex]18\ in\ by\ 15\ in[/tex] --------> [tex]90\ in^{2}[/tex]
Step-by-step explanation:
Verify each case
case 1) [tex]30\ in\ by\ 12\ in[/tex]
Find the area with the original dimensions
[tex]A=30(12)=360\ in^{2}[/tex]
Reduce the area of the poster by one-third
[tex]360/3=120\ in^{2}[/tex]
therefore
[tex]30\ in\ by\ 12\ in[/tex] --------> [tex]120\ in^{2}[/tex]
case 2) [tex]30\ in\ by\ 18\ in[/tex]
Find the area with the original dimensions
[tex]A=30(18)=540\ in^{2}[/tex]
Reduce the area of the poster by one-third
[tex]540/3=180\ in^{2}[/tex]
therefore
[tex]30\ in\ by\ 18\ in[/tex] --------> [tex]180\ in^{2}[/tex]
case 3) [tex]12\ in\ by\ 15\ in[/tex]
Find the area with the original dimensions
[tex]A=12(15)=180\ in^{2}[/tex]
Reduce the area of the poster by one-third
[tex]180/3=60\ in^{2}[/tex]
therefore
[tex]12\ in\ by\ 15\ in[/tex] --------> [tex]60\ in^{2}[/tex]
case 4) [tex]18\ in\ by\ 15\ in[/tex]
Find the area with the original dimensions
[tex]A=18(15)=270\ in^{2}[/tex]
Reduce the area of the poster by one-third
[tex]270/3=90\ in^{2}[/tex]
therefore
[tex]18\ in\ by\ 15\ in[/tex] --------> [tex]90\ in^{2}[/tex]
PLZ help me!!!! I have no idea how to do this!
Answer:
a)[tex]y^b z^{(b-1)}[/tex]
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
d is the answer
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.
B = 103°, a = 12 cm, c = 22 cm
Answer:
The area of the triangle is [tex]128.62\ cm^{2}[/tex]
Step-by-step explanation:
we know that
Applying the law of sines
The area of a triangle is equal to
[tex]A=\frac{1}{2}(a)(c)sin(B)[/tex]
substitute the values
[tex]A=\frac{1}{2}(12)(22)sin(103\°)[/tex]
[tex]A=128.62\ cm^{2}[/tex]
Find all real zeros of the function y=-5x-7
Answer:
x=1 2/5
Step-by-step explanation:
Replace y with 0 and solve for x.
Answer: The required zero of the given function is x = -1.4.
Step-by-step explanation: We are given to find all the real zeroes of the following function :
[tex]y=-5x-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since the given function is linear, so it will have only one real zero.
Also, the zeroes of a function y = f(x) is given by f(x) = 0.
So, the zero of the given function (i) is
[tex]y=0\\\\\Rightarrow -5x-7=0\\\\\Rightarrow 5x=-7\\\\\Rightarrow x=-\dfrac{7}{5}\\\\\Rightarrow x=-1.4.[/tex]
Thus, the required zero of the given function is x = -1.4.
A cone-shaped paper cup is 2.5 inches high and has a radius of 1.5 inches. What is its volume to the nearest hundredth?
Plz Help
Answer: 5.89 cubic inches.
Step-by-step explanation:
you use the formula v=pi radius squared h/3
Answer:
5.9
Step-by-step explanation:
sin(x)=1/4 [0, 360]
Answer:
[tex]x=14.5\degree[/tex] or [tex]x=165.5\degree[/tex]
Step-by-step explanation:
We want to solve the equation;
[tex]\sin x=\frac{1}{4}[/tex] on the interval [tex][0,360\degree][/tex]
The sine ratio is positive in the first and second quadrant.
We take the sine inverse of both sides of the equation to get;
[tex]x=\sin^{-1}(\frac{1}{4})[/tex]
[tex]x=14.5\degree[/tex]
This is the angle in the first quadrant.
In the second quadrant;
[tex]x=180-14.5[/tex]
[tex]x=165.5\degree[/tex]
*Easy points!* Find the slope of the line in the image below! *Will mark Brainest!*
Answer:
-4
------
6
Step-by-step explanation:you go down 4 and across 6 so since you go down it is a negative by the way the answer on the top is a fraction.
I=-2,3
III= -1, 4
*I think sorry if it’s wrong*
HURRY ITS TIMED!!!!!
A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in terms of pi.
➷ The formula for surface area of a cylinder is:
[tex]2\pi rh + 2\pi r^2[/tex]
The radius is half the diameter
radius = 40/2 = 20
Substitute the values in
Surface area = [tex]2\pi (20)(32) + 2\pi (20)^2[/tex]
Simplify to get an answer of:
surface area = [tex]2080\pi feet^2[/tex]
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
I need help please????
The one you have highlighted is correct
the first one is the right one
show that 9a + 3b has a greater value than 3x + 4y (photo provided)
[tex]3a + b = 7\Leftrightarrow 3(3a + b) = 3 \times 7\Leftrightarrow 9a + 3b = 21 \: (1)\\ 6x + 8y = 40\Leftrightarrow \frac{2(3x + 4y)}{2} = \frac{40}{2} \Leftrightarrow 3x + 4y = 20 \: (2) \\ (1),(2)\Rightarrow 9a + 3b > 3x + 4y[/tex]
[tex]\bf \begin{array}{lll|llll} 3a+b&=&7&&6x+8y&=&40\\&&&&&\\ 3(3a+b)&=&3(7)&&\frac{1}{2}(6x+8y)&=&\frac{1}{2}(40)\\&&&&&\\ 9a+3b&=&21&&\frac{6x}{2}+\frac{8y}{2}&=&\frac{40}{2}\\&&&&&\\ 9a+3b&=&21&&3x+4y&=&20 \end{array}\\\\ ~\hspace{7.5em}21>20[/tex]
PLEASE HELP I'M TIMED
Really hope i'm right
1st row
the first one is length less than 10
one next to it is width greater than 5
next to that is length greater than 10
2nd row
the first one is length greater than 10
one next to that is width less than 5
next to that is width greater than 5
3rd row
first one is width less than 5
and last is length less than 10
Find the length of AC if AB=24
Answer: 48
Step-by-step explanation: If B is the midpoint AB make 24 if you want to know the whole length then you would add 24+24+48 which makes AC 48
435,098 rounded to the nearest ten thousand place is ?
Answer:
440,000
Step-by-step explanation:
435, the ten thousands place is the 2 place in the 435, so 5 rounds up, so 440 is what it round o, and everything else becomes 0.
435,098 rounded to the nearest ten thousand place is Option (E) 440,000.
Process of rounding off -Rounding off is the process used when a number is formed from the approximated value to tens, hundreds or thousands places. Rounding off is applied to a certain number to find the closest value after that number.
How to round off the given number in the question ?The number given is 435098.
Thus rounding off the number to nearest thousand will give us the closest value after that number in the thousand place of the digit of number.
Therefore from the Options given, the correct rounded off number is Option (E) 440,000.
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If you help me U will be my HERO
Answer:
1. 24 in^2
2. 51 in^2
3. 286 cm^2
4. 90 m^2
5. 60 cm^2
6. 57.06 m^2
7. 185 ft^2
8. 13.5 in^2
9. 252 ft^2
10. I'm not quite sure how to do this one
11. 315 m^2
12. 322 ft^2
13. I cant see all of this one
14. 39 in^2
15. 100 in^2
16. 72.5 in^2
Some of the numbers were very blurry and did my best to make them out so If I got any of them wrong I apologize.
Answer:
im about a year and a half late but please give him brainliest
Step-by-step explanation:
-3x - 3y = -30
-2x + 7y = -2
(This is elimination)
Answer:
Step-by-step explanation:
-3x - 3y = -30
-2x + 7y = -2
-3x - 3y = -30 /*(-2)
-2x + 7y = -2 /*3
6x + 6y = 60
-6x + 21y = -6
6x - 6x + 6y + 21y = 60 - 6
27y = 54
y = 2
-3x - 3y = -30
-3x - 3*2 = -30
-3x - 6 = -30
-3x = -30 + 6
-3x = - 24 / : (-3)
x = 8
HELPP
Given: Diameter QG,
mFG=46°, mQE =58°
Find: m∠GQF and m∠GPF
i already know that m∠GPF is 52
idk what ∠GQF
Answer:
m∠GQF=23°
Step-by-step explanation:
This is equal to 23 degrees because you know that mFG is 46°. Now, you use a theorem similar to Peripheral ∠ Th. to get 23°
Answer:
[tex]m\angle GQF=23^{\circ}[/tex]
[tex]m\angle GPF=52^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a circle and we are asked find the measure of angle GQF and measure of angle GPF.
We know that the measure of an inscribed angle is half the measure of its intercepted arc. To find the measure of angle GQF we will divide the measure of its intercepted arc (FG) by 2.
[tex]m\angle GQF=\frac{1}{2}\times 46^{\circ}[/tex]
[tex]m\angle GQF=23^{\circ}[/tex]
Therefore, the m∠GQF is 23 degrees.
We know that measure of angle formed by two intersecting secants inside a circle is half the sum of their intercepted arcs.
[tex]m\angle GPF=\frac{1}{2}\times(\text{Measure of arc FG+arc QE})[/tex]
[tex]m\angle GPF=\frac{1}{2}\times(46^{\circ}+58^{\circ})[/tex]
[tex]m\angle GPF=\frac{1}{2}\times(104^{\circ})[/tex]
[tex]m\angle GPF=52^{\circ}[/tex]
Therefore, the m∠GPF is 52 degrees.
calculate the shaded area
Answer:
116cm^2
Step-by-step explanation:
This problem is just a matter of finding the area of the large and the small circle. To find the area of the large circle, you will use the equation: A = pi*r^2 in the following manner:
A = pi*r^2
A = pi*6.5^2
A = pi*42.3
A = 133
Next, you need to subtract the smaller circle from the area to only have the shaded area. Do this like the following:
A = pi*r^2
A = pi*2.3^2
A = pi*5.29
A = 16.6
Lastly, you just need to subtract! Do this like the following:
A = 133 - 16.6 = 116.4cm^2 = 116cm^2
The area of shaded area is 116.14 cm²
Step-by-step explanation:The area of circle is given by
A=πr²Wee have 2 radii
Lets find for the radius 2.3
A = π * 2.3²
A = 16.61
Now lets find for the radius 6.5
A = π * 6.5²
A = 132.73
Now
The shaded area is 132.75 - 16.61
Shaded area = 116.14
What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x? 1. The distributive property: 4x – 12 + 4 < 10 + 6x 2. Combine like terms: 4x – 8 < 10 + 6x 3. The addition property of inequality: 4x < 18 + 6x 4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________ x < –9 x > –9 x < x > –
I couldn't understand the last part, I think they are just options
The last part should be x>-9
Hope it helps!
#MissionExam001
A toy company makes rectangular sandboxes that measure 6 feet by 5 feet by 1.2 feet. A customer buys a sandbox and 40 cubic feet of sand. Did the customer buy too much or too little sand? Justify your answer
Answer:
Customer has bought too much sand
Step-by-step explanation:
Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.
Volume of a rectangular box = Length * Width * Height
=> 6*5*1.2
=> 36 cubic feet
As mentioned, customer bought a sand box and 40 cubic feet of sand.
So,
Volume of rectangular box (R) = 36 cubic feet
Volume of Sand (S) = 40 cubic feet
From analysis
S > R
Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.
Therefore, customer has bought too much sand.
How much will Kasey pay in Medicare if she makes $42,300 next year? $613.35 $2,678.40 $3,291.75 $4,320.00
Answer:
$613.35
Step-by-step explanation:
As 1.45% of employee's pay check goes to the Medicare, so
Total pay of Kasey in next year=$42300
Amount to be paid to medicare=1.45% of Kasey^' s pay
=42300* 1.45/100
=42300* 145/10000
= 6133500/10000
=613.35
Kasey will have to pay $613.35 to Medicare.
For which distributions is the median the best measure of center? Select each correct answer.
Answer with explanation:
Let me start answering this Question like this.
Why Median came into existence because Mean was not good enough to provide better solution to Statistical Data Set.
What, is Median.Median of a discrete data set ,is Middle value in the data set when arranged in ascending or descending order.Suppose you have to find whether wages of Employee in certain Organization is appropriate or not.You will use two measure of variation for that Purpose: 1. Mean 2.Median
Consider Bar graph of Data set 1
Variate in set builder form ={10,15,20,25,30,35,30,25,20,15,10}
When arranged in ascending order ={10,10,15,15,20,20,25,25,30,30,35}=11(Odd)
Mean
[tex]=\frac{235}{11}\\\\=21\frac{4}{11}[/tex]
Median =Mid value =20
Median - Smallest variate =20 -10=10
Largest Variate - Median =35-20=15
→→→Consider Bar Graph of Data set 2
Variate in set builder form ={22,18,20,26,30,28,20,9,9,5,4,3,3,2}
When arranged in ascending order ={2,3,3,4,5,9,9,18,20,20,22,26,28,30}=14(Even)
Mean
[tex]=\frac{199}{14}\\\\=14\frac{3}{14}[/tex]
Median
[tex]=\frac{9+18}{2}\\\\13.5[/tex]
Median - Smallest variate =13.5 - 2=11.5
Largest Variate - Median =30 -13.5=16.5
→→Consider Bar Graph of Data set 3
Variate in set builder form ={4,3,4,,4,5,5,5,4,5,5}
When arranged in ascending order ={3,4,4,4,4,5,5,5,5,5}=10(Even)
Mean
[tex]=\frac{44}{10}\\\\=4.4[/tex]
Median
[tex]=\frac{4+5}{2}\\\\4.5[/tex]
Median - Smallest variate =4.5 -3=1.5
Largest Variate - Median =5-4.5=0.5
Consider Bar graph of Data set 4
Variate in set builder form ={11,12,13,14,15,18,19,24,28,15,12,11}
When arranged in ascending order ={11,11,12,12,13,14,15,15,18,19,24,28}=12(even)
Mean
[tex]=\frac{192}{12}\\\\=16[/tex]
Median
[tex]=\frac{14+15}{2}\\\\14.5[/tex]
Median - Smallest variate =14.5 - 11=3.5
Largest Variate - Median =28 - 14.5=13.5
Drawing Box plot of four data set
Found that, for data set 3, median lies in the center.
Option 2 and Option 3