Hi! I'm happy to help!
To solve for the area of a semi-circle, we just need to find the area of a circle, and divide it by 2.
The equation for area of a circle is A=[tex]\pi[/tex]r²
It says we can use 3.14 for pi, so we can write our equation like this:
A=3.14(r²)
Since we are dealing with half of a circle, we can write this as:
A=[tex]\frac{1}{2}[/tex](3.14(r²))
Our radius is a straight line going from the edge of the circle to the center. We have the diameter, which is just the radius doubled (because it goes from the edge to the center point then back to the edge). So, we divide our diameter by 2 to get our radius.
14÷2=7
Our radius is 7, so we can plug that into our equation:
A=[tex]\frac{1}{2}[/tex](3.14(7²))
Now all we have to do, is solve:
A=[tex]\frac{1}{2}[/tex](3.14(49))
A=[tex]\frac{1}{2}[/tex](153.86)
A=76.93
So, our area is 76.93 units².
I hope this was helpful, keep learning! :D
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. The temperatures of eight different plastic spheres.
The level of measurement that is most appropriate for the temperatures of eight different plastic spheres is the interval scale.
An interval scale shows magnitude and order. It shows numerical difference between values on same scale which are distinguished and are equal.
One common property of the interval scale is that it has an arbitrary zero point which is perfectly exhibited by the temperature measurement. This implies that the scale of measurement has no zero point because zero on the Centigrade scale is 32 degrees on the Fahrenheit scale.
Therefore, temperature measurement of eight different spheres can be regarded as an interval scale.
Learn more about interval scale here:
https://brainly.com/question/24260284
evaluate f(x)=-2x²+4x-2 find f(-2)
Answer:
-2
Step-by-step explanation:
If f(x) = 2x² + 4x - 2
f(-2) = 2(-2)² + 4(-2) - 2
f(-2) = 2(4) + 4(-2) - 2
f(-2) = 8 - 8 - 2
f(-2) = -2
Answer:
It is -18
Step-by-step explanation:
[tex]f(x) = - 2 {x}^{2} + 4x - 2[/tex]
when x is -2, f(x) is f(-2):
[tex]f( - 2) = - 2 {( - 2)}^{2} + 4( - 2) - 2 \\ \\ f( - 2) = - 8 - 8 - 2 \\ \\ f( - 2) = - 18[/tex]
simplify 5 p - 3 - (1 + p) +( 2 - p)
Answer:
3p-2
Step-by-step explanation:
................
Answer:
3p - 2
Step-by-step explanation:
[tex]5p - 3 - (1 + p) + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + 2 - p[/tex]
[tex]5p - 1p - p[/tex][tex]5p - 1p - 1p[/tex][tex](5 - 1 - 1)p[/tex][tex] = 3p[/tex][tex] - 3 - 1 + 2[/tex]➡️ [tex] - 4 + 2[/tex]
➡️ [tex] = - 2[/tex]
[tex] = 3p - 2[/tex]
The distance that John covers each day during his morning walks is given in the graph. Using my this information, predict the distance that John may cover on day 6
A: 5.2 miles
B: 4.2 miles
C: 3.2 miles
D: 2.2 miles
John may cover 2.2 miles on day 6.
The correct answer is option (D)
What is graph?"It is a pictorial representation of data in an organized manner. "
For given question,
The distance that John covers each day during his morning walks is given in the graph.
From the graph we can observe that the highest value on the graph is 4.
Also the data is symmetrical on the left side and on the right side of the highest value.
We need to predict the distance that John may cover on day 6.
It must be the same as it is at day = 0
At day = 0, the distance is 2.2 miles.
Therefore, John may cover 2.2 miles on day 6.
The correct answer is option (D)
Learn more about prediction from the graph here:
https://brainly.com/question/27021739
#SPJ2
Find the difference.
0-(-6) =
Answer:
6
Step-by-step explanation:
If you mean 0-(-6) that's mean 0+6 and the answer will be 6
and if you mean 6-(-0) it's also 6
There are □ terms in the sequence 1,2,2
There are exactly 81 terms in the sequence.
Start counting with 1 (like non-computer people).
First term is [tex]1=2^0[/tex].
Second term is [tex]2=2^1[/tex].
Third term is [tex]2^2[/tex].
Fourth term is [tex]2^3[/tex].
In general the i-th term is [tex]2^{i - 1}[/tex].
Hope this helps :)
(a) If ε = {s, p, I, e, n, d, o, u, r},
X= {s, p, e, n, d)
Y= s, e, n, 0, 1}
Z = {p, n, o, u, r}
Find X n (Y'UZ).
(b) Given that for sets A and B in a universal set E, ACB, find An(An B)'.
Answer:
TEXT your teacher
Step-by-step explanation:
The rectangles are similar. Find x.
Answer:
x = 7 1/2
Step-by-step explanation:
We can use proportions to solve
12 5
----- = -----
18 x
Using cross products
12x = 18*5
12x = 90
Divide by 12
12x/12 = 90/12
x = 7 1/2
12/18 = 5/x
12x = 18 × 5
12x = 90
x = 90 ÷ 12
x = 7,5 => x = 7 1/2
Let f(x) = 8x3 + 16x2 − 15 and g(x) = 2x + 1. Find f of x over g of x. WILL GIVE BRAINLIEST!
Answer:
4x² + 6x - 3 remainder -12Step-by-step explanation:
Given:
(x) = 8x³ + 16x² − 15g(x) = 2x + 1To find:
f(x) / g(x)Use long division:
f(x) / g(x) = (8x³ + 16x² − 15) / (2x + 1)2x + 1 | (8x³ + 16x² − 15
| 8x³ + 4x²
12x² + 0x - 15
12x² + 6x
-6x - 15
-6x - 3
-12
4x² + 6x - 3 remainder -12
[tex]\sf \dfrac{f(x)}{g(x)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{8x^2+16x^2-15}{2x+1}[/tex]
Refer to attachment now
162×(-92)-(-162)×(-5)-162×3
Answer:
-16,200
Step-by-step explanation:
162×(-92)-(-162)×(-5)-162×3
-14,904 - 810 - 486 = -16,200
Answer:
-16200 is your answer....
12. In the toy factory where you work, you inspect each toy for
defects as it comes off the assembly line and report the
defect ratio at the end of each day. On Monday, you
inspected 938 toys and recorded 67 of them as defective.
What is the ratio of defective toys to the total number of
toys that you inspected?
F.
938
H.
J.
K.
1: 67
1:14
1:13
13:1
14:1
If the 45 animals on the farm have a total of 150 legs, how many cows does farmer Ken have?
Answer:
195
Step-by-step explanation:
If f(x)= 2|x|+3x, then the value of f(-1) is
Answer:
-1
Step-by-step explanation:
f(-1) = 2|-1| + 3(-1)
|-1| = 1
=> f(-1) = 2(1) - 3
=> f(-1) = 2 - 3
=> f(-1) = -1
A chemist is using 332 milliliters of solution of acid and water. If 13.7% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
45.5 milliliters
Step-by-step explanation:
We know that the chemist has 332 milliliters of the solution of acid and water, and 13.7% of that solution is acid.
We can then persume that the amount of acid in the solution is equal to 332ml × 13.7%.
This is equal to 45.484ml.
Then the question states to round the answer to the nearest tenth.
Rounding 45.484ml to the nearest tenth (.1) will equal to 45.5ml.
Therefore, there are 45.5ml of acid in the solution rounded to the nearest tenth.
Please and thank you and show work this question is a big chunk of my final grade
Answer:
9
Step-by-step explanation:
The trinomial square have the following form:
(a - b)²
Expanding this, the result is:
a² -2ab +b²
So, let's put x in place of a and solve it:
x² -2•x•b + b²
Now, we know that initially -2•x•b was -6x in the given trinomial square, so let's find the value of b using an equation:
-2x•b = -6x divide both sides by -2x:
b = -3
So -3 complete our trinomial square, and it is:
(x -3)²
Expanding:
x² -6x +9
HELP PLEASE DUE TOMORROW
Answer:
Step-by-step explanation:
first one: 1/4
second one: 1/4
last one: 1/4
8 divided by 2=4 and 4 becmes the denominator
the answer is basicallly 1/4
What grade is this btw
300 cubic inches to cubic centimeters?
Answer:
I guess it would help you ✌
Answer:762 cm
Step-by-step explanation:
There is 2.54cm in an inch so multiply it by 300
a bakery sells 17 cups of coffee for every 3 cups of hot chocolate they sell. At the end of the day the bakery sold 406 more coffee than hot chocolates. How many of the two drinks did they sell in all?
Answer:
Step-by-step explanation:
A: What is the perimeter of HOUSE?
perimeter of HOUSE =
(round to the nearest hundredth - two decimal places)
B: What is the length of OH?
(round to the nearest thousandth - three decimal places)
C: What is the midpoint of OU?
D: Which is longer, OH or EH?
E: What is the perimeter of the triangle HOU?
perimeter of triangle HOU
(round to the nearest hundredth - two decimal points)
First calculate distances or lengths(Refer to attachment)
A:-
[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]
[tex]\\ \sf\longmapsto 5.3+9+11+9+9.7[/tex]
[tex]\\ \sf\longmapsto 15+29[/tex]
[tex]\\ \sf\longmapsto 44[/tex]
B:-
Refer to the attchment
C:-
[tex]\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)[/tex]
D:-
EH>OH
E:-
[tex]\\ \sf\longmapsto Perimeter[/tex]
[tex]\\ \sf\longmapsto 9.7+5.3+9[/tex]
[tex]\\ \sf\longmapsto 24[/tex]
Answer:
The coordinates of the HOUSE:
H(-7, 1), O(1, 6), U(4, 1), S(4, -8), E(-7, -8)Part ATo find the perimeter first find the length of each side:
OH = [tex]\sqrt{(1 +7)^2+(6-1)^2} = \sqrt{64+25} =\sqrt{89}[/tex] ≈ 9.43 unitsOU = [tex]\sqrt{(4-1)^2+(1-6)^2} = \sqrt{9+25} = \sqrt{34}[/tex] ≈ 5.83 unitsUS = 1 - (-8) = 9 unitsSE = 4 - (-7) = 11 unitsEH = 1 - (-8) = 9 unitsThe perimeter is:
P = 9.43 + 5.83 + 9 + 11 + 9 = 44.26 unitsPart BOH = 9.43 units (see part A)Part CUse midpoint formula:
x = (4 + 1)/2 = 2.5y = (1 + 6)/2 = 3.5The point is (2.5, 3.5)
Part DOH = 9.43 units > EH = 9 units (see part A)Part E P(ΔHOU) = OH + OU + HU (or SE) = 9.43 + 5.83 + 11 = 26.26 unitsGiven f(x) =1/(x^2+4) and g(x) = square root (x+1) Find g(f(x)).
Step-by-step explanation:
all steps are in the picture above.
Note:if you have any question let me know about.thanks
9514 1404 393
Answer:
g(f(x)) = √((x²+5)/(x²+4))
Step-by-step explanation:
[tex]g(f(x))=g(\dfrac{1}{x^2+4})=\sqrt{\dfrac{1}{x^2+4}+1}=\sqrt{\dfrac{1+x^2+4}{x^2+4}}\\\\\boxed{g(f(x))=\sqrt{\dfrac{x^2+5}{x^2+4}}}[/tex]
I prefer this compact form, but some may want the denominator rationalized. This means the expression becomes ...
[tex]g(f(x))=\sqrt{\dfrac{(x^2+5)(x^2+4)}{(x^2+4)^2}}\\\\\boxed{g(f(x))=\dfrac{\sqrt{x^4+9x^2+20}}{x^2+4}}[/tex]
Which of these is equal to .0625 ??
a. 4 ^ -15
b. 1 / 4^15
c. 16 ^ -2
d. (4 ^ -1) ^ 2
Help please!! I redid my assignment 3 times, and I still didn't get it correct! (The question was to find the 7 ones that equal .0625 , and those are all the ones that I thought didn't equal that)
Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) − 5. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g horizontally shifted right 5 units. B. The graph of h is the graph of g horizontally shifted left 5 units. C. The graph of h is the graph of g vertically shifted up 5 units. D. The graph of h is the graph of g vertically shifted down 5 units.
Answer:
D. The graph of h is the graph of g vertically shifted down 5 units.
Step-by-step explanation:
I assume
g(x) = x²
h(x) = g(x) - 5 = x² - 5
plz plz help fast plz plZ
no trolls plz
Answer:
3/6 or 1/2
Step-by-step explanation:
3 of the blocks are blue out of 6 blocks. Therefore 3/6.
Is (6,0) a solution of 5x-y=9?
Answer:
No
Step-by-step explanation:
5(6)-(0)≠95(6)-(0)=30Evaluate m + 7.5 , when m = 8.6
Hi :)
m is a variable
m is defined as 8.6
substitued m
8.6 + 7.5 = 16.1
Answer:
m+7.5 = ? when m = 8.6
Sub 8.6 in equation for m and you get
8.6 + 7.5 = 16.1
Step-by-step explanation:
describe the rule for 1;3;6;10;15
Answer:
add 2, add 3, add 4, add 5
Step-by-step explanation:
1+*2=3,3+*3=6,6+*4=10,10+*5=15
Which of these expressions is in the simplified form?
Answer:
C!
Step-by-step explanation:
A) can be simplified into -> (x ([tex]\sqrt{3}[/tex] * x - 3*[tex]\sqrt{3y}[/tex])/3)
B) Can be simplified into ([tex]\sqrt{2x}[/tex]/2) + ([tex]\sqrt{2z}[/tex]/2)
D) Can be simplified into 5*[tex]\sqrt{5x}[/tex] - x^2
Therefore, C is the correct answer because it cannot be simplified any further!
Hope this makes sense!!!!
Please give brainliest answer! I wasited for you to delete the answer!
log 3x^3-log x^2= log 27 - log x
Answer:
First of all, this equation is defined on ]3,+∞[ because you need x+3>0 and x−3>0 at the same time or the log won't be defined.
The log function maps a sum into a product, hence log(x+3)+log(x−3)=27⇔log[(x+3)(x−3)]=log27.
You now apply the exponential function on both sides of the equation : log[(x+3)(x−3)]=log27⇔(x+3)(x−3)=27⇔x2−9=27⇔x2−36=30. This is a quadratic equation that has 2 real roots because Δ=−4⋅(−36)=144>0
You know apply the quadratic formula x=−b±√Δ2a with a=1 and b=0, hence the 2 solutions of this equation : x=±6
−6∉]3,+∞[ so we can't keep this one. The only solution is x=6.
Step-by-step explanation:
I THINK IT HELP U
6. (1 + x) (1 + x²) (1 +x^4) (1 + x^8) (1 – x)
(a) 1 + x^16
(b) 1 - x^16
(c) x^16 - 1
(d) x^8 + 1
Escribe ordenadamente cinco números enteros que sean mayores que -2, con el signo adecuado
Answer:
-1, 0, 1, 2, 3
Step-by-step explanation:
Los números son mayores a medida que se mueven hacia la izquierda de la recta numérica, por lo que retrocederá desde -2