Answer:
The area of the circle in terms of π is:
9/64 π in^2Step-by-step explanation:
To find the area of that circle, you can use the equation:
Area of a circle = [tex]\pi * \frac{D^{2}}{4}[/tex]Where:
D = Diameter (3/4 in)Now, we can replace the given measurement in the equation:
Area of a circle = [tex]\pi * \frac{(\frac{3}{4}in) ^{2}}{4}[/tex]Area of a circle = [tex]\pi * \frac{\frac{9}{16}in ^{2}}{4}[/tex]Area of a circle = [tex]\pi * \frac{9}{64} in^{2}[/tex]That result is the same that to write:
Area of a circle = [tex]\frac{9}{64}\pi in^{2}[/tex]By this reason, the result is 9/64 π in^2, giving the result in terms of π.
(3x^ - 6x +11) - (10x^ - 4x + 6)
Answer:
3x−6x+11−(10x−4x+6)
=5x10−10x7+3x5
x10
=5x5−10x2+3
x5
Step-by-step explanation:
i hope this helps and i hope you understand this, sorry if you dont understand
what is the ordered pair for the equation -7x+3y=2
Answer:
Step-by-step explanation:
Use the Squeeze Theorem
Answer:
See Below.
Step-by-step explanation:
We want to use the Squeeze Theorem to show that:
[tex]\displaystyle \lim_{x \to 0}\left(x^2\sin\left(\frac{2}{x}\right)\right)=0[/tex]
Recall that according to the Squeeze Theorem, if:
[tex]\displaystyle g(x)\leq f(x) \leq h(x)[/tex]
And:
[tex]\displaystyle \lim_{x\to c}g(x) =\lim_{x\to c}h(x) = L[/tex]
Then:
[tex]\displaystyle \lim_{x\to c}f(x)=L[/tex]
Recall that the value of sine is always ≥ -1 and ≤ 1. Hence:
[tex]\displaystyle -1 \leq \sin\left(\frac{2}{x}\right) \leq 1[/tex]
We can multiply both sides by x². Since this value is always positive, we do not need to change the signs. Hence:
[tex]\displaystyle -x^2\leq x^2\sin\left(\frac{2}{x}\right)\leq x^2[/tex]
Let g = -x², h = x², and f = x²sin(2 / x). We can see that:
[tex]\displaystyle \lim_{x \to 0}g(x) = \lim_{ x \to 0}h(x) = 0[/tex]
And since g(x) ≤ f(x) ≤ h(x), we can conclude using the Squeeze Theorem that:
[tex]\displaystyle \lim_{x \to 0}f(x) = \lim_{x \to 0}x^2\sin\left(\frac{2}{x}\right)=0[/tex]
During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which
integer represents the total number of yards at the end of the first four plays?
оооо
9
18
Which of the following is the product of 7/8 and -4/21? a.- 1/6 b.1/12 c.- 16/21 d.- 147/32
Answer:
A. -1/6
Step-by-step explanation:
7/8 × -4/217 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8-4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/31/2 × -1/3 = -1/6The product of 7/8 and -4/21 is a.- 1/6.
What is the product?In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.
Now the given numbers are,
7/8 and -4/21
now taking 7/8 and since 8= 4*2
so, 7/8 = 7/(4*2)
Again taking -4/28 and since 28 = 7*4
so, -4/21 = -4/(7*3)
hence the product of 7/8 and -4/21 is given as,
7/8*(-4/21) = 7/(4*2) x -4/(7*3)
taking alike terms together we get,
7/8*(-4/28) = (7/7)(4/4)(-1/2*3)
⇒ 7/8*(-4/28) = -1/6
Hence the correct option is a.-1/6
Therefore,The product of 7/8 and -4/21 is a.- 1/6.
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What is the complementary number of 16
I
Answer:
2
Step-by-step explanation:
Pls Pls Pls help! Simplify the equation: [tex]\sqrt{\frac{1}{9} x^{2}y^{10}[/tex]
What is the equation of a circle with center (4, 4) and radius 7?
Answer:
(x-4)^2 + (y-4)^2 = 49
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where ( h,k) is the center and r is the radius
(x-4)^2 + (y-4)^2 = 7^2
(x-4)^2 + (y-4)^2 = 49
In exponential smoothing, the equation involves what type of value that is not part of the moving averages equation?
a. Upper limit
b. Lower limit
c. Level smoothing constant
d. Recent observed value
Answer:
d. Recent observed value
Step-by-step explanation:
Exponential smoothing is technique for smoothing time series data. In exponential smoothing more recent observed values give larger weights while the weights will decline if observed values are more distant. In moving average the observations were weighted equally.
Find the distance between the pair of points: (2,6) and (0,−3).
Answer:
d = √85
Step-by-step explanation:
d^2 = (X2 - X1)^2 + (Y2 - Y1)^2
= (2 - 0)^2 + (6 + 3)^2
= 4 + 81
d = √85
Find the value of x to the nearest degree.
16
7
Not drawn to scale
x°
Answer:
66°
Step-by-step explanation:
Given the right angled triangle :
Opposite side = 16
Adjacent side = 7
Using trigonometric relation :
Tan θ = opposite / Adjacent
Tan x = (16/7)
x = tan^-1(16/7)
x = 66.37°
x = 66°
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
The solution set to the absolute value is:
[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]
Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].
Step-by-step explanation:
From Mathematics, we know that absolute values are defined by the following characteristics:
1) For [tex]x \ge 0[/tex], [tex]|x| = x[/tex]
2) For [tex]x < 0[/tex], [tex]|x| = - x[/tex]
Then, if [tex]|x| = x[/tex], then the solution set to the absolute value is:
[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]
Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].
5(x+2)-4 = 13-7(x+1)
Answer:
0
Step-by-step explanation:
5x+10-4=13-7x-7
5x+6=6-7x
5x+0= -7x
0=-12x
Divide and u get x=0
Suppose that E and F are points on the number line.
If EF=9 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.
9514 1404 393
Answer:
-5 or 13
Step-by-step explanation:
A point that is 9 units from 4 on the number line ca be located at ...
4 - 9 = -5
4 + 9 = 13
F could be either of -5, 13.
What is
(481x10")(1.1x 10-4) in scientific notation?
5.291x 10-64
5.291x10
5.291x1012
5.291x1020
Answer:
5.291 * 10^4
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for what values of x are these functions defined x - 1
Answer:
The function is defined for all real numbers.
which can be denoted as >> R
lab scale known to have a standard deviation of 0.001gram, speimen weghtted 8 times. average weiht is 4.1602 gram. what is 99% confidence interval
Answer:
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=8[/tex]
Mean [tex]\=x=4.1602[/tex]
Standard deviation [tex]\sigma=0.001gram[/tex]
Generally 99\% confidence from table is mathematically given by
[tex]99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}[/tex]
[tex]P(-z<x<z)=0.99[/tex]
[tex]Z_{\alpha/2}=2.576[/tex]
Generally the equation for 99\% confidence level (CI) is mathematically given by
[tex]99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}[/tex]
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
you and your friend start biking to opposite directions from the same point. You travel 108 feet every 8 seconds. Your friend travels 63 feet every 6 seconds. a) how far apart are you and your friend after 15 minutes? b) after 20 minutes you take a 5- minutes rest, but your friend does not. How far apart are you and your friend after 40 minutes? Explain your reasoning.
Answer:
To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.
15 mins x 60 seconds = 900 seconds.
Step-by-step explanation:
In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.
112.5 x 108 = 12150 feet
12150 feet/5280 feet is approximately 2.3 miles.
For your friend you take 900/6 = 150 groups of 6 seconds.
150 x 63 = 9540 feet
9540 feet/5280 feet = 1.79 miles
1.79 miles + 2.3 miles = 2.09 miles
You and your friend are about 2.09 miles apart after 15 minutes.
B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more
3.07 + 2.3 = 5.37 miles after 40 minutes (you).
Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes
0.6 x 5 (5 x 5 = 25 minutes)= 3 miles
1.79 + 3 miles= 4.79 miles (friend)
4.79 + 5.37 = 10.16 miles
You and your friend are about 10.16 miles apart after 40 minutes.
Which graph shows Point Pin Quadrant II and Point Q as (3,-4)
Answer:
p would be up top on the negative side (left)
q would be at the bottom on the positive side (right)
PLEASE HELPPPP ASAP PLS WILL MARK BRAINLIEST
Answer:
5X+6+3X-2 =180
8X+4. =180
8X. =180-4
8X. =176
X=22
CBD=EBF=3x-2
=66-2
=64
CBD=64
convert 122f to Celsius
Answer:
50°C
Step-by-step explanation:
(122°F − 32) × 5/9 = 50°C
Cannot seem to figure this one out.
Answer:
cosB = 2√6 / 7
Step-by-step explanation:
use the pythagorean theorem to find the missing side
a² + b² = c²
a² + 5² = 7²
a² + 25 = 49
a² = 24
a = √24
a = 2√6
--------------------------
cosB = adj/hyp
cosB = 2√6 / 7
PT=3x+3 and TQ=6x-6
Use the figure to the right to find the value of PT. T is the midpoint of PQ
Answer:
PT = 12 units
Step-by-step explanation:
Given that,
PT=3x+3 and TQ=6x-6
T is the midpoint of PQ.
If T is mindpoint of PQ, it means,
PT = TQ
Substitute all the values,
3x+3 = 6x-6
Taking like terms together,
3x-6x = -6-3
-3x = -9
x = 3
So,
PT = 3x+3
= 3(3) + 3
= 9+3
= 12
So, the value of PT is equal to 12 units.
What is the product?
(-282 +8)(502-65)
Answer:
option c is the answer for pic
and for question the answer is
(-274)*(437)
-119738
Answer:
the first one
Step-by-step explanation:
Solve the system.
2x + y = 3 −2y = 14 − 6x
Answer:
(x , y ) = (39/22 , -2/11 )
.............
Answer:
-2,3 3,-7
Step-by-step explanation:
took test :)
4. If your balance on an investment of $100 that has been invested at
a rate of 7.5% is $178.35 at the end of 8 years, does the plan have simple
interest or compound interest?
Answer:
Simple interest
Step-by-step explanation:
Because its a period of 8 years
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.
Answer:
6yd=W The width of the rectangle is 6 yards. L=6W=6(6yd)=36 yards The length is 36 yards. A=36yd*6yd=216 sq yd ANSWER: The area is 216 square yards...The area of a given rectangle is 216 square inches.
Given that, the perimeter of the rectangle is 84 inches.
We need to find the area of a rectangle.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of a rectangle be x.
Given, that the length of a rectangle is six times its width. So, length=6x.
Now, 84=2(6x+x)
⇒14x=84
⇒x=6 inches
Then, length=6x=36 inches.
Area of a rectangle= Length×width=36×6=216 square inches
Therefore, the area of a given rectangle is 216 square inches.
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VERY URGENT
The sum of two numbers is 36. The smaller number is 18 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
Larger number: 22
The smaller number: 14
HOPE THIS HELPS
X/30 + X/40= 1
Solve for x
Answer:
17 1/7 I think
Step-by-step explanation:
x=17.1
Step-by-step explanation:
[tex] \frac{x}{30} + \frac{x}{40} = 1 \\ \frac{3x + 4x}{120} = 1 \\ \frac{7x}{120} = 1 \\ \frac{7x}{120} = 1 \\ 7x = 120 \\ x = \frac{120}{7} \\ x =17.1 [/tex]
help
Sadie needs 3.1 yards to make one costume for each choir member in the play. How much fabric will she need if she has to make 5 costumes?
A.
15.5 yards
B.
10.5 yards
C.
18.6 yards
D.
16.5 yards
Answer:
A. 15.5 yards
Step-by-step explanation:
3.1 ×5=15.5