Answer:
The answer is 9.4 cm.
Step-by-step explanation:
To solve for the circumference of the circle, use the circumference formula, which is C = 2 [tex]\pi[/tex] [tex]r[/tex].
Next, in the problem, the circle has a diameter measure but no radius measure. To find the radius of this circle, divide the diameter (3 cm) by 2, and it will equal 1.5 cm. The radius is being divided by 2 because the radius of any circle is equal to half the diameter of the circle.
Then, plug in the information given from the problem into the formula, and the formula will look like C = (2) ([tex]\pi[/tex]) (1.5 cm).
Finally, solve the equation, and the answer is 9.4 cm.
If I wanted to quadruple the volume of this prism, what scale factor should I apply to the dimensions?
PLEASE ONLY QUESTION!!! ILL GIVE BRAINLIEST
Answer:
Scale factor should be 4
Multiply: –5 × (–3) × 7
Answer:
the ans is 105...........
Answer:
105
Step-by-step explanation:
-5*-3=15
15*7=105
Find the z value to the right of the mean so that:________.
a. 54.78% of the area under the distribution curve lies to the left of it.
b. 69.85% of the area under the distribution curve lies to the left of it.
c. 88.10% of the area under the distribution curve lies to the left of it.
Answer:
a) z = 0.12
b) z = 0.52
c) z = 1.18
Step-by-step explanation:
The z values is the area under the curve lying to its left
a) Hence, P (Z<z) = 0.5478
Taking the value of z from the standard normal table, we get -
z = 0.12
b) P (Z<z) = 0.6985
Taking the value of z from the standard normal table, we get -
z = 0.52
c) P (Z<z) = 0.8810
Taking the value of z from the standard normal table, we get -
z = 1.18
Describe & correct the error in writing the statement of the tangent ratio for the given figure
Answer:
Step-by-step explanation:
tan k=opposite /adjacent
tan k=32/24
The correct statement of the tangent ratio for the given figure is,
⇒ tan k = 32 / 24
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees
Given that;
A triangle is shown in figure.
Now, By figure of triangle;
tan k = Opposite / Base
tan k = 32 / 24
Thus, The correct statement of the tangent ratio for the given figure is,
⇒ tan k = 32 / 24
Learn more about the triangle visit;
brainly.com/question/1058720
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Cho ánh xạ tuyến tính f : R^3 → R^3 và hai cơ sở của R^3 :
B ={b1=(1,3,3),b2=(-7,6,5),b3=(1,2,2)}
C= {c1=(2,-4,3),c2=(-5,-1,-5),c3=(1,0,1)}
Biết:
f b(1 ) ( -5,6,4) =
f b(2 ) ( -8,5,2) =
f b( 2) ( -9, -2, -5) =
a. Tìm ma trận A=[F]e3'= , từ đó suy ra biểu thức của f(x1,x2,x3)
Step-by-step explanation:
TUU-PQVH-MFG LINK for those who are interested in Paranormal and those who have doubt on Paranormal
On a particular day, the wind added 3 km per hour to Alfonso's rate when he was cycling with the wind and subtracted 3 km per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 36.5 km with the wind, he could go only 24 km against the wind. To the nearest whole number, what is his normal bicycling speed with no wind?
Answer:
31 km?
Step-by-step explanation:
Answer: a) 15 km/h
Step-by-step explanation: Trust me bro
135 pencils were to be packed into boxes. Each box could take 12 pencils. find the number of boxes fully packed
Answer:
11 boxes are packed fully
This year, a small business had a total revenue of $18,700. If this is 15% less than their total revenue the previous year, what was their total revenue the previous year?
Answer:
The business's total revenue the previous year was $22,000.
Step-by-step explanation:
Since the business's revenue is 15% less than it was the previous year, we can subtract that 15% from 100% to see what percentage of last year's revenue is the business getting now.
100% - 15% = 85%
So the business is getting 85% of what it got last year. We also know that this small business is getting $18,700 this year.
So really, this question is asking 18,700 is 85% of what?
Y = P% of WHAT?
18,700 = 85% of X
18,700 = 0.85 · X
Now that we have set this equation up, we solve for x. To get x alone, you must divide by 0.85 on both sides.
18,700 ÷ 0.85 = 0.85 · X ÷ 0.85
Simplified, this is 22,000 = X
So their total revenue the previous year was $22,000.
This is not the only way to do this - there are others, but this is one of the easiest to understand is more efficient.
Answer:
$21,505
Step-by-step explanation:
$18,700×115%=$18,700×115/100
=$21,505
what is the probabilty of getting an odd number when choosing between 0 and 10?
A: 1 out of 11
B: 12 out of 6
C: 5 out of 11
D: 11 out of 5
Calculate the price relative
Answer:
146.3
Step-by-step explanation:
The price relative is the product of 100 and ratio of the current price to the base price. It is given as:
[tex]Price\ relative=\frac{P_n}{P_o}*100\\\\Where\ P_n\ is\ the \ price\ of\ commodity\ in\ the\ current\ period\ while\ P_o\ is\\the\ price\ of\ commodity\ in\ base\ period.[/tex]
Given that the base price is the truck cost in 2008 = $27000 and the current price is the price of the truck in 2012 = $39500. Hence:
Price relative = ($39500 / $27000) * 100 = 146.3
Therefore the price relative is 146.3
this please help me
9514 1404 393
Answer:
y = 2·3^x
Step-by-step explanation:
The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.
The multiplier is 2, and the base of the exponential factor is 3. That gives us ...
y = 2(3^x)
The probability that a city bus is ready for service when needed is 84%. The probability that a city bus is ready for service and has a working radio is 67%. Find the probability that a bus chosen at random has a working radio given that is it ready for service.
can someone help? i know the answer but i need to show work as to how thats the proper answer.
Answer:
79.8%
Step-by-step explanation:
I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it's incorrect.
The first term of a G.P are as follows: m, m2 +4, 16m. Find the 5th term.
Answer:
512
Step-by-step explanation:
To effectively answer the question, let us calculate the value of m. This can be obtained as follow:
m, (m² + 4), 16m
1st term (T₁) = m
2nd term (T₂) = m² + 4
3rd term (T₃) = 16m
Common ratio = T₂/T₁ = T₃/T₂
(m² + 4) / m = 16m / (m² + 4)
Cross multiply
(m² + 4)(m² + 4) = m × 16m
(m² + 4)² = 16m²
Take the square root of both side
√[(m² + 4)²] = √(16m²)
m² + 4 = 4m
Rearrange
m² – 4m + 4 = 0
Solving by Factorisation
m² – 2m – 2m + 4 = 0
m(m – 2) – 2(m – 2) = 0
(m – 2)(m – 2) = 0
(m – 2)² = 0
Take the square root of both side
m – 2 = 0
m = 2
Thus,
1st term (T₁) = m = 2
2nd term (T₂) = m² + 4 = 2² + 4 = 8
3rd term (T₃) = 16m = 16 × 2 = 32
The sequence => m, (m² + 4), 16m
Becomes
2, 8, 32
Finally, we shall determine the 5th term. This can be obtained as follow:
1st term (a) = 2
Common ratio (r) = 2nd / 1st = 8/2 = 4
5th term (T₅) =?
T₅ = ar⁴
T₅ = 2 × (4)⁴
T₅ = 2 × 256
T₅ = 512
Therefore, the 5th term is 512
Liz earns a salary of $2,400 per month, plus a commission of 5% of her sales. She wants to earn at least
$2,900 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your
variable represents. Enter the commission rate as a decimal.
+
s (select)
The inequality that represents the situation is
S = (select)
Answer:
2400 + (0.05X) = 2900
Therefore, the amount of sales that Liz will have to make to meet her goal is $ 10,000.
Step-by-step explanation:
Since Liz earns a salary of $ 2,400 per month, plus a commission of 5% of her sales, and she wants to earn at least $ 2,900 this month, to find amounts of sales that will meet her goal, the following equation must be solved:
5/100 = 0.05
2400 + (0.05X) = 2900
0.05X = 2900 - 2400
0.05X = 500
X = 500 / 0.05
X = 10,000
Therefore, the amount of sales that Liz will have to make to meet her goal is $ 10,000.
Which is the simplified form of the expression
Answer:
4 / x¹⁴y⁸
Step-by-step explanation:
eliminate parenthese by multiplying all exponents inside parentheses by the exponent outside the parentheses:
1/2⁶ ÷ 1/4⁴ = 1/64 ÷ 1/256 which equals 256/64 or 4
x⁻⁶y⁴ ÷ x⁸y¹² = x⁻¹⁴y⁻⁸ = 1/x¹⁴ · 1/y⁸
put it all together to get:
4÷(x¹⁴y⁸)
anyone know this? the box is just there when I have the answer so it's okay but I dont understand this anyone can help?
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Answer:
1/10
Step-by-step explanation:
The product of fractions is the product of the numerators, divided by the product of the denominators.
[tex]\dfrac{1}{2}\text{ of }\dfrac{1}{5}=\dfrac{1}{2}\times\dfrac{1}{5}=\dfrac{1\times1}{2\times5}=\boxed{\dfrac{1}{10}}[/tex]
__
Additional comment
When working with fractions and percentages, you will find that "of" often means "times."
What the answer pls I suck at this just in the answer please thank you
Answer:
108 because the full measurements is 180
Step-by-step explanation:
Answer:
54°
Step-by-step explanation:
All angles in triangle add up to 180°.
180° - 72°= 108°
108°/ 2= 54°
HELP ASAP I WILL GIVE BRAINLIST
Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and explain all work.
a. Write the exponential growth function to represent this function.
b. What will the population be in 2022? Round your answer to the nearest person
Answer:
A: the function is 537(0.3x)
B: so we just plug in the numbers where x is that amount of years so
52 years from 1970 so 2022
537(1.56)
x=837.72
so the answer is 838
Hope This Helps!!!
Find the exact value of tan 60° in simplest form with a rational denominator.
Step-by-step explanation:
We need to find the exact value of tan 60° in simplest form with a rational denominator.
We know that, [tex]\tan\theta=\dfrac{\sin \theta}{\cos\theta}[/tex]
Here, [tex]\theta=60^{\circ}[/tex]
So,
[tex]\tan(60)=\dfrac{\sin (60)}{\cos(60)}\\\\=\dfrac{\dfrac{\sqrt3}{2}}{\dfrac{1}{2}}\\\\=1.73\\\\or\\\\=\dfrac{173}{100}[/tex]
Hence, this is the required solution.
Which system of inequalities is graphed?? Help please!!!
Answer:
It's the second inequalities. y<x and y (more than or equal to) -x
Answer:
[tex]y<x\\y\geq -x[/tex]
Step-by-step explanation:
[tex]y<x\\y\geq -x[/tex]
how do you do this equation?
Answer:
y = 2x + 2
Step-by-step explanation:
General point-slope form:
point = (x1,y1) = (1,4)
slope = m = 2
y-y1 = m(x-x1)
Substitute values
y - 4 = 2 (x-1)
y = 2x -2 + 4
y = 2x + 2
!!! PLEASE HELP ME !!!
Answer:
Be an GH
Step-by-step explanation:
The probability of picking a red marble from a bag is 38. If Sarah picks a marble from the bag 64 times (replacing the marble with each draw), how many times should she expect it to pick a red marble?
7. Solve:
The product of 5, and 3 more
than twice a number, is 85.
What is the number?
Answer:
38.5
Step-by-step explanation:
let x = the number
5+2x+3=85
2x=77
x=38.5
Identify a possible measure of the angle sketched in standard position
195 degrees
175 degrees
-195 degrees
-175 degrees
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Answer:
-195 degrees
Step-by-step explanation:
The angle is shown as being measured CW, so in the reverse of the positive direction. The angle's terminal ray seems to be above the -x axis, making its measure more than 180°. Of the choices offered, the best seems to be ...
-195 degrees
Slove the inequality 5(x + 1) <25
x < 4
x > -4
x > 4
Pls help meee
Algebra
Use the distributive property to make 5x+5.
5x+5<25
Subtract 5 from both sides.
5x<20
Divide both sides by five.
x<4
What is the surface area? I need help help
Surface Area=2400
Step-by-step explanation:
To find the surface area we need to use this formula: Surface Area=6a^2
Where a is the side lengths that are being provided by the cube, now we plug in 20 as a into the formula.
Surface Area=6(20)^2
Surface Area=6(400)
Surface Area=2,400
Hope I helped, have a nice day :)
Answer:
2400
Step-by-step explanation:
[tex]SA = 2(lw + lh + wh) = 2(20^2 + 20^2 + 20^2) = 2(3 * 20^2) = 2(3 * 400) = 2 * 1200 = 2400[/tex]
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answer:
the range of the functions is all real numbers less than or equal to 9
The Department of Transportion (DOT) is attempting to determine the proportion of drivers who require all passengers in the car to wear their seatbelt before putting the vehicle in drive. A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up. To report their finding they want to create a 95% confidence interval. What would be the margin error for this confidence interval?
1) 0.0043
2) 0.0914
3) 0.0086
4) 0.0765
5) 0.0466
Answer:
2) 0.0914
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up.
This means that [tex]n = 114, \pi = \frac{62}{114} = 0.5439[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What would be the margin error for this confidence interval?
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.5439*0.4561}{114}}[/tex]
[tex]M = 0.0914[/tex]
Thus the margin of error is 0.0914, option 2).
The length of a rectangle is 4 inches longer than it is wide. If the area is 140 square inches, what are the
dimensions of the rectangle?
Answer:
W=10
L=14
Step-by-step explanation:
Area of the rectangle is L x W=140
We know that L=4+W, so we have to substitute this value to obtain one equation
with just one unknown value;
(4+W) x W=140, solving the equation and making it equal to zero we obtain,
W2 + 4W – 140 = 0, using the quadratic formula to solve we get two values for W
One positive and one negative;
W1=10 and W2=-14. Because we are dealing with distances, the value of
cannot be a negative number. Therefore, the value of W is 10. With this, we
can go back to substitute the value of W to find L,
L = 4 + W,
L = 4+ 10 = 14, so the answer is W=10 and L=14
_________________
Hope this is helpful.