Answer:
A = 36 pi in^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (6)^2
A = 36 pi in^2
Answer:
36pi in²
Step-by-step explanation:
Area = pi × r²
= pi × 6²
= 36pi
urgent !! Convert the following equation to logarithmic or exponential form:
log subscript 49 left parenthesis 7 right parenthesis equals 1 half
Your answer:
49 to the power of 7 equals 1 half
7 to the power of 49 equals 1 half
open parentheses 1 half close parentheses to the power of 7 equals 49
49 to the power of 1 half end exponent equals 7
Answer:
The exponential form is 49 to the power of one-half equals 7 ⇒ 4th answer
Step-by-step explanation:
The exponential equation of [tex]log_{b}(m)=n[/tex] is [tex]b^{n}=m[/tex] , where b is the base, n is the exponent of b and m is the value of [tex]b^{n}[/tex]
Ex: If [tex]log_{3}(81)=4[/tex] , that means b = 3 , n = 4 and m = 81, then its exponential form is [tex]3^{4}=81[/tex]
Now let us solve the question
∵ The equation is [tex]log_{49}(7)=\frac{1}{2}[/tex]
∴ The base is 49
∴ The exponent is [tex]\frac{1}{2}[/tex]
∴ The answer is 7
- Substitute them in the form of the exponential form
∴ The exponential form is [tex](49)^{\frac{1}{2}}=7[/tex]
The exponential form is 49 to the power of one-half equals 7
The given equation is log49(7) = 1/2. To convert it to exponential form, we can write it as 49^(1/2) = 7.
Explanation:The given equation is:
log49(7) = 1/2
To convert this equation to exponential form, we need to remember that logarithms and exponentials are inverse functions. Therefore, we can write the equation as:
491/2 = 7
Hence, the exponential form of the given equation is 49 raised to the power of 1/2 equals 7.
A boat leaves the dock and travels 5 miles due south, then 12 miles due west How far is the boat from the dock?
Answer:
13 miles
Step-by-step explanation:
This problem can be represented as a right angle triangle (shown in the diagram).
The distance of the boat from the dock is the hypotenuse of the triangle, hence, we need to find the hypotenuse of the triangle. To do this, we apply Pythagoras theorem:
[tex]hyp^2 = opp^2 + adj^2[/tex]
where opp = side opposite angle of consideration = 12 miles
adj = side adjacent angle of consideration = 5 miles
Hence:
[tex]hyp^2 = 12^2 + 5^2\\\\\\hyp^2 = 144 + 25 = 169\\\\\\hyp = \sqrt{169}\\ \\\\hyp = 13 miles[/tex]
The boat is therefore, 13 miles from the dock.
Final answer:
To find the distance of the boat from the dock after traveling due south and then due west, apply the Pythagorean theorem to calculate the hypotenuse of a right-angled triangle, resulting in 13 miles.
Explanation:
The question involves finding the distance of the boat from the dock after it has traveled in a two-segment path: 5 miles due south and 12 miles due west. This problem can be solved by using the Pythagorean theorem, which is applied in the context of a right-angled triangle formed by the southward and westward paths of the boat as its legs.
Steps to Calculate Distance:
Represent the boat's journey as a right-angled triangle with the southward and westward paths forming the two legs.
Calculate the hypotenuse of the triangle, which represents the straight-line distance between the boat and the dock.
Use the Pythagorean theorem (a² + b² = c²) to find the distance.
For the distances given (5 miles and 12 miles), the calculation would be [tex]\sqrt{5² + 12²}[/tex]= [tex]\sqrt{169}[/tex] = 13
Therefore, the boat is 13 miles away from the dock after traveling 5 miles due south and 12 miles due west.
Which measure of center would you use to compare the populations represented by the box plots?
Which measure of variability would you use to compare the populations represented by the box plots?
Answer:
Median and Interquartile range (IQR)
Step-by-step explanation:
I did it :)
Select the correct description and/or example for each rigid transformation
Answer:
1.reflection
2. translation
3. rotation
4. rotation
5. reflection
Step-by-step explanation:
what is the limit of the infinite series?
Answer:
Zero
Step-by-step explanation:
There is no solution to this.
A fish tank has a length of 4 feet and width of 18 inches. The fish tank is 3 feet high and is filled to within 4 inches of the top of the tank. What is the volume of water in the tank?
The volume of water in the tank, with a length of 4 feet, width of 1.5 feet, and filled to within 4 inches of the top, is approximately 42.667 cubic feet.
To find the volume of water in the tank, we need to calculate the volume of the portion of the tank that is filled with water.
1. First, let's convert all the measurements to the same unit. Since the height of the tank is given in feet and the width is given in inches, let's convert the width to feet.
Given:
- Length = 4 feet
- Width = 18 inches
- Height = 3 feet
- Water level = 4 inches from the top
Converting width to feet:
1 foot = 12 inches
So, 18 inches = 18/12 = 1.5 feet
Now, we have:
- Length = 4 feet
- Width = 1.5 feet
- Height = 3 feet
- Water level = 4 inches from the top
2. Calculate the height of the water in the tank:
Total height of the tank = Height of tank - Distance from the top to the water level
Total height = 3 feet - 4 inches
Total height = 3 feet - (4/12) feet
Total height = 3 feet - 0.3333 feet
Total height = 2.6667 feet
3. Calculate the volume of water using the formula for the volume of a rectangular prism:
Volume = Length × Width × Height
Volume = 4 feet × 1.5 feet × 2.6667 feet
Volume ≈ 16 feet³ × 2.6667
Volume ≈ 42.667 feet³
So, the volume of water in the tank is approximately 42.667 cubic feet.
Which set of three angles could represent the interior angles of a triangle? 26 degrees, 51 degrees, 103 degrees 29 degrees, 54 degrees, 107 degrees 35 degrees, 35 degrees, 20 degrees 10 degrees, 90 degrees, 90 degrees
Answer:
26 °, 51 °, 103 °
Step-by-step explanation:
-A triangle is a 3-sided regular polygon.
-The sum of it's interior angles add up to 180°.
-Only the 26 °, 51 °, 103 ° set add exactly up to 180° and therefore satisfies the triangle's interior angles condition.
Answer:
The answer A trust me
Step-by-step explanation:
I need another help again my bros
Answer:
a = 15.59 c= 31.18
27 tan 30 = a
c cos 30 = 27
c = 27/cos30
c = 31.18
Which equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply.
3 x minus 2 y = 4
2 x minus 3 y = 12
Negative 4 (2 x minus 3 y) = negative 4 (12)
2 (x + 6) = 3 y
2 x minus 3 y = 4
Answer:
2 x minus 3 y = 12
Negative 4 (2 x minus 3 y) = negative 4 (12)
Step-by-step explanation:
y = two-thirds x minus 4
y = (⅔)x - 4
Multiply the entire equation by 3
3y = 2x - 12
2x - 3y = 12
Multiply both sides by -4
-4(2x - 3y) = -4(12)
Answer:
b
Step-by-step explanation:
please give answer ?
Answer:
M=(-8, -3.5)
Step-by-step explanation:
The midpoint formula for two points is [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]. Plugging in our numbers, you get [tex](\frac{-9-7}{2},\frac{-10+3}{2})=(-8, -3.5)[/tex]. Hope this helps!
A 2D image of a 3D figure is most commonly know as what?
Answer:
net
Step-by-step explanation:
A two-dimensional shape has only two measurements and a three-dimensional shape has three measurements.
For example square, the triangle are two-dimensional shapes and cube, prism are three-dimensional shapes.
A 2 D image of a 3 D figure is most commonly know as a net.
A net is a two-dimensional pattern that can be folded to form the three-dimensional figure.
When you cut out the "net", fold it and stick it together you get a three-dimensional shape.
On Sunday afternoon, the ratio of adults to children at the park was 1 to 3. There were 48 children at the park.
How many adults were at the park
Answer:
16 adults
Step-by-step explanation:
There were 3 times more children than adults at the park.
That means that dividing the number of children by 3 would give us the number of adults.
48 / 3 = 16
Answer:
16:48 Therefore, 16 adults
Step-by-step explanation:
You have a wire that is 74 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum
Answer:
32.55 cm
Step-by-step explanation:
Let x = the length of wire that becomes a circle.
Then 74 - x = the length of wire that becomes a square
Circumference of circle + perimeter of square = 74
1. Expression for the side of the square
P = 4s = 74 - x
s = ¼(74 - x)
2. Expression for the radius of the circle
C = 2πr = x
r = x/(2π)
3. Expression for the total area
[tex]\begin{array}{rcl}\text{Total area} & = &\text{area of circle+ area of square}\\A & = & \pi r^{2} + s^{2}\\& = &\pi \left(\dfrac{x}{2 \pi}\right)^{2} + \left (\dfrac{1}{4}(74 - x)\right)^{2}\\\\ & = & \dfrac{x^{2}}{4 \pi} + \dfrac{1}{16}(5476 - 148x + x^{2})\\\\ & = & 0.07958x^{2} + 342.25 - 9.25x + 0.0625x^{2}\\A & = & 0.1421x^{2} -9.25x + 342.25 \\ \end{array}[/tex]
This is the equation of a parabola.
In standard form,
ƒ(x) = 0.1421x² -9.25x + 342.24
a = 0.1421; b = -9.25; c = 342.24
The parabola opens upwards, because a > 0. Therefore, the vertex is a minimum.
The vertex of a parabola occurs at
x = -b/(2a) = 9.25/(2 × 0.1421) = 9.25/(0.2842) = 32.55
The circumference of the circle is 32.55 cm.
The graph below shows that the area of the circle is a minimum when x = 32.55 cm
line n passes through the points (-3 -7.5) and (2 -5) tahlia determined that the equation of line n is y = 0.5x. explain the error Tahlia made while determining her equation. Be sure to include the correct equation in your explanation
Answer:
She forgot to find the y intercept add it in the equation
y = .5x-6
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (-5 - -7.5)/ (2 - -3)
=(-5 +7.5)/( 2+3)
= 2.5/5
= 1/2
Substitute into the slope intercept form of the equation
y= mx+b
y= .5x +b
We need to determine b by substituting a point into the equation
-5 = .5(2) +b
-5 = 1+b
Subtract 1 from each side
-5-1 = 1-1+b
-6 = b
y = .5x-6
Answer:
She forgot the y-intercept
y = 0.5x - 6
Step-by-step explanation:
y = 0.5x + c
-5 = 0.5(2) + c
c = -6
Correct equation:
y = 0.5x - 6
Please someone help me answer this! Rico is making 6 batches of salsa. Each batch needs 3/4 cup of corn. He only has 1/4 cup measure. How many times must Rico measure 1/4 cup of corn to have enough for all the salsa?
Answer:
18
Step-by-step explanation:
3/4 divided by 1/4 equals 3
3 times 6 equals 18
Keio and Taylor relapse after school to train for the baseball team the ratio of the number of laps Kyle ran to the number that Taylor 2 to 3 Kyle ran six slabs how many laps did Taylor
Answer: 9 miles
Step-by-step explanation: 6 divided by 2 is 3 and 3 times 3 is 9.
A box contains 400 black pens and 50 red pens. Jose said the sum of the probability that a randomly selected pen will not be black and the probability that the pen will not be red is 1, P(not black) + P(not red) = 1. Do you agree with him? Complete the explanation to answer the question.
I (disagree/agree) with Jose that the sum of the probability that a randomly selected pen will not be black and the probability that the pen will not be red is 1.
Answer:
I agree with Jose that the sum of the probability that a randomly selected pen will not be black and the probability that the pen will not be red is 1.
Step-by-step explanation:
If we sum the probability of not black and probability of not red, we will get 1.
The probability of not black means probability of red i.e 50/450
The probability of not red means probability of black i.e 400/450.
When we add the probability, we get 1.
50/450 + 400/450 = 450/450 = 1
Invariably, the statement is same as finding probability of black and probability of red; just that the value are interchanged.
The function () = 2 + 4 was replaced with ( + ) resulting in the function
() = 2 + 22. What is the value of ?
Let's evaluate explicitly [tex]f(x+k)[/tex]:
[tex]f(x)=2x+4\iff f(x+k)=2(x+k)+4=2x+2k+4[/tex]
If this must equal [tex]2x+22[/tex], we have
[tex]2x+2k+4=2x+22 \iff 2k+4=22 \iff 2k=18 \iff k=9[/tex]
Answer:
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Step-by-step explanation:
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Advertisers often refer to CPM (Cost per thousand people reached) when quoting advertising rates. If a website
promises to reach 23,000 people for $1,540, what is the CPM? (Round to the nearest dollar.)
a) $67
b) $108
c) $150
d) $185
Answer:
$67
Step-by-step explanation:
There are 23 thousand clicks, so as it pays per thousand you need to divide $1 540 by 23, which results in 66.9.... reacurring which when rounded is (a) for $67.
What is the general form of the equation of the line shown?
y - 2 = 0
y + 2 = 0
x - 2 = 0
Answer:
General form of the equation of the line: y-2 = 0
Step-by-step explanation:
The general form of the equation is given by:
y = mx +b where m is the slope and b is the y-intercept.
y-intercepts of the line is the value of y at the point where the line crosses the y-axis(i.e x= 0)
From the given figure;
we can see that the line crosses the y-axis at y =2 and also here the slope is , m= 0
therefore, by definition of y-intercepts
y-intercept (b) = 2
Therefore, the equation of line as shoen in figure is:
y = (0)x + 2
or
y = 2
y-2 = 0
Therefore, the general form of the equation line as shown in the figure is:
y-2 =0
Which is equivalent to 4!
(4 factorial)?
look at picture
Answer:
C. 24
Step-by-step explanation:
4!=24
Apply factorial rule: n! = 1 * 2 * 3 * ... * n
4! = 1 *2 * 3 * 4
1 *2 * 3 * 4 = 24
4! = 1 *2 * 3 * 4 = 24
4!=24
Two lines are perpendicular if they cross a 45° angle true or false
Answer: False
Step-by-step explanation:
What is the greatest common factor
of 48 and 120?
Answer:
24
Step-by-step explanation:
Please help me idk this
Answer:
34.54 inches.
Step-by-step explanation:
The formula for the circumference of the circle is given as [tex]C=\pi d[/tex], where [tex]\pi[/tex] is rounded to 3.14 and d is the diameter of the circle, 11 inches. Simply plug these values into the equation for the circumference to get your answer:
[tex]C=\pi d\\C=(3.14)*(11)[/tex]
C = 34.54 inches
Answer:
34.54 inches
Step-by-step explanation:
C=πd
d=11
C = 11 * 3.14
C = 34.54 inches
How many minutes is it from 4:00 to 4:30
Answer:
30 minutes
Step-by-step explanation:
Just look at the minutes only. Since you need 4 o'clock to 4:30, its only 30 minutes.
Answer:
30 minutes
Step-by-step explanation:
All you have to do is subtract 4:30 and 4:00 and get 30 minutes.
What is twice a number minus 4 is less than three times the number?
Answer:
[tex]n > -4[/tex]
Step-by-step explanation:
Step 1: Convert into an expression
Twice a number minus 4 is less than three times the number
[tex]2n - 4 < 3n[/tex]
Step 2: Solve for the number
[tex]2n - 4 - 2n < 3n - 2n[/tex]
[tex]-4 < n[/tex]
Answer: [tex]n > -4[/tex]
The two right triangular prisms are similar solids.
The scale factor of the larger prism to the smaller prism
is 3. How do the volumes compare?
The volume changes by 3.
The volume changes by
, or 2
The volume changes by
lo
Answer:
The volume of the larger prims is eight times greater than the smaller prism.Step-by-step explanation:
If the scale factor of the larger prims to the smaller prism is 3, that means each side is triple.
We know the a triangular prims has a volume defined by
[tex]V_{small} =\frac{b \times h_{1} }{2} \times h_{2}[/tex]
If we take that formula as the smaller prism, then the larer prism has a volum of
[tex]V_{large} =\frac{2b \times 2h_{1} }{2} \times 2h_{2}=8(\frac{b \times h_{1} \times h_{2} }{2} )[/tex]
If we compare, we can deduct that
[tex]V_{large}=8V_{small}[/tex]
In words, the volume of the larger prims is eight times greater than the smaller prism.
Answer:
Answer Choice 3
Step-by-step explanation:
on edge 2020
When ringing up a customer,a cashier needs 10seconds to process payment as well as 1second to scan each item being purchased .How long does it take to ring up a customer with 37 items ? Answer
Answer:
47 seconds
Step-by-step explanation:
It takes 37 seconds to scan 37 items at the rate of 1 second per item. It takes an additional 10 seconds to process the payment. Then the total time is ...
37 +10 = 47 . . . seconds
Would having deadbolt locks on exterior doors affect a homeowner's insurance policy price? Why or why not? Answer in complete sentences.
Answer:
Having a deadbolt lock installed on the exteriors of a building would affect the price of Insurance.
The principles of insurance require that the Insurance Policy Holder or Insured should act as if uninsured. This means that even with an Insurance Policy in place, the owner of this house is required to ensure that all reasonable steps have been taken to secure the house.
This may include having a properly installed lock in place.
The price or insurance premium of a homeowner may go up very significantly if there is no lock installed, that is if the risk is accepted for coverage by the insurance company.
It (the premium that is) may or may not come down if there is a deadbolt lock in place. It all depends on the extent to which the deadbolt lock has reduced the exposure of the Insurance company. Where the deadbolt lock has very significantly reduced the risk, the policyholder may press for a reduction in insurance premium.
In most Homeowners Insurance policy, for a claim concerning theft of insured home items, the policyholder has to provide evidence of forceful entry or exit, showing that the house was reasonably secured to warrant a breaking in or breakout.
Cheers!
In need of help of these math questions
Answer:
1. 4
2. 6.4
3. 10.0828313253
Explanation:
2.
15/12=1.25
8/1.25=6.4
3. ill write explanation for 3 later im occupied those are the correct answers
problably they want you to round to nearest tenth