Answer:
240 cubic cm
Step-by-step explanation:
8*10*3
=80*3
=240
Answer:
240 cm^3
Step-by-step explanation:
We are given a rectangular prism with dimensions 8 cm, 10 cm and 3 cm and we are to find its surface area.
We know that the surface area of a rectangular prism is given by:
Volume of rectangular prism [tex] = w \times h \times l[/tex]
Substituting the given values in the above formula:
Volume of the right rectangular prism = [tex]8 \times 10 \times 3[/tex] = 240 cm^3
In the diagram,AB=10 AC=2 square root 10 what is the perimeter of triangle ABC ?
20 + 2 units square root 10 units
The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00am and 12:30pm, with a dept of 2.5 m, while high tides occur at 6:15am and 6:45pm, with a depth of 5.5 m. Let t=0 be 12:00 am. Which periodic function, since or cosine would be simpler model for the situation?
A cosine function is simpler to model the situation of the changing tides because it starts at an extremum, aligning with the low tide occurring at t=0 (12:00 am). By calculating the amplitude, midline, and period, we can construct an approximate model for the tidal heights using a cosine function without a phase shift.
The phenomenon of tidal movements can be modeled through periodic functions, such as sine or cosine functions, which are suitable for representing recurring events over time.
In this scenario, since the low tide occurs at t=0 (12:00 am) and reaches the same low tide level at t=12.5 (12:30 pm), a cosine function would be more appropriate as it inherently starts at a maximum or minimum value.
On the other hand, a sine function starts from the middle of its range, making it necessary to introduce a phase shift in the function for accurate modeling of the tides in this case.
A simple cosine model for the tidal heights would look like: Depth(t) = A * cos(B * (t - C)) + D, where A represents the amplitude, B is related to the period of the tide cycle, C is the phase shift (in this model C would be zero), and D adjusts the midline to fit the average between high and low tides.
Considering the given data:
Amplitude (A): (High tide depth - Low tide depth) / 2 = (5.5m - 2.5m) / 2 = 1.5m
Midline (D): (High tide depth + Low tide depth) / 2 = (5.5m + 2.5m) / 2 = 4m
Period (Related to B): Since there are two high and two low tides every 24 hours, the period would be 12 hours. We would then find B by using the formula 2 * pi / period, yielding B = 2 * pi / 12.
So, the model would be approximately Depth(t) = 1.5 * cos((pi / 6) * t) + 4, accurately reflecting the transition from low to high tides and back over a 12-hour cycle.
Answer:
A cosine function would be a simpler model for the situation.
The minimum depth (low tide) occurs at t = 0. A reflection of the cosine curve also has a minimum at t = 0.
A sine model would require a phase shift, while a cosine model does not.
Find the least common multiple of 6 , 2 and 9
Answer:
18
Step-by-step explanation:
The multiples of 6 are : 6, 12, 18, 24, 30, ......
The multiples of 2 are : 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ......
The multiples of 9 are : 9, 18, 27, 36, ......
The common multiple is 18
The least common multiple is 18
In a survey, 250 adults and children were asked whether they know how to
swim. The survey data are shown in the relative frequency table.
What percentage of the people surveyed cannot swim?
Answer:
Step-by-step explanation:
B because .06 + .12 = .18 which is 18% out of 250 people
Hello, I'm Eric. I'll be trying my best to assist you on your question today.
0.12 is 12 percent.
We also have the 0.06 percent which would just be 6 percent
We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.
Our final answer is D.
Not the right answer or confused? Reply to this question for help.
Enjoy your day - Eric
A tangent to the curve y=6x-x² cuts the x axis at point P. Find the coordinates of P. Help me calc the coordinates please
We know that the line is tangent at the point (2,8)
The derivative of the function at x=2 is
[tex]f'(x) = 6-2x \implies f'(2) = 6-4=2[/tex]
So, the tangent line passes through the point (2,8) and has slope 2. The equation is
[tex]y-8 = 2(x-2) \iff y = 2x+4[/tex]
This line crosses the x axis where y=0:
[tex]0 = 2x+4 \iff 2x = -4 \iff x = -2[/tex]
The coordinates of point P where the tangent to the curve y=6x-x² cuts the X-axis can be found by finding the x-value when the derivative of the curve is equal to zero. In this case, the x-coordinate of point P is 3, so the coordinates of point P are (3, 0).
Explanation:In this question, we are asked to find the coordinates of point P on the X-axis where a tangent to the curve y=6x-x² cuts the X-axis. The equation of the curve is given as y = 6x - x². A tangent line to the curve intersects it at exactly one point. The equation of this tangent line can be written in slope intercept form y = mx + b. When the tangent line cuts the X-axis, y=0.
The first step is taking the derivative of the curve, which gives us the slope of the tangent line. The derivative of y = 6x - x² is y' = 6 - 2x. This gives us the slope of the tangent line.
The second step is finding the x-coordinate of point P where the tangent line intersects the X-axis. This is where the y-coordinate is zero, or when y = 6x - x² is equal to zero. Solving for x, we get x = 0 or x = 6. However, because the curve y = 6x - x² intersects the X-axis at the x-coordinate of 0 and 6, the x-coordinate of point P must be a different value.
The final step is to solve for the x-coordinate when y' = 0, or when 6 - 2x = 0. Solving this equation gives us x = 3. So, the tangent line will cut the X-axis at point P(3, 0).
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Which expression helps you find the length of X of a side of a rectangle that has a diagonal of 15 units and a width of nine units
Answer:
12 units
Step-by-step explanation:
by the pythagorean relation,
x^2 + 9^2 = 15^2
x^2 + 81 = 225
x^2 = 144
x = 12 units
Answer:
x^2 = 15^2 – 9^2
Step-by-step explanation:
What is the equation in standard form of the line which passes through (-2, 6) and has a slope of -1?
Answer:
x + y = 4
Step-by-step explanation:
To write the equation of the line use the point slope form. Then convert to the standard from. Begin by substituting m = -1 and (-2,6).
[tex]y - y_1 = m(x-x_1)\\y - 6 = -1(x --2)\\y - 6 = -1(x+2)\\y - 6 = -x -2\\x + y - 6 = -2\\x + y = 4[/tex]
What is the cosine of angle D?
Cos(x)=20/25
X=cos-1(20/25)
=36.86989765
=B
find the measures of angle b
Answer:
142
Step-by-step explanation:
The line underneath the straight angle is a straight line, meaning it is 180 degrees. 180-38= 142
A straight line is 180 degrees.
180-38=142
142 degrees is the answer.
geometry math problem
Answer:
y=1/6x+3
the slope has to be negative reciprocal and it passes though (6,4)
can someone plz help me out.....
Answer: The correct answer is 3
Step-by-step explanation:
4³ = 64
The way to check your work is to multiply 4 x 4 x 4:
16 x 4 = 64
It's just 64 = 4^3
4 * 4 * 4 = 64
The area of a triangle is 1,4440 cm^2. The base of the triangle is 5 times the height. What is the height of the triangle?
Answer:
h = 24 cm
Step-by-step explanation:
The formula for area of a triangle is
A = (1/2)bh where b is the base and h is the height.
We are told that the base is 5 times the height, this translates to
b = 5h, so we can rewrite our formula to
A = (1/2)(5h)(h) or
A = (1/2)5h²
We are given A = 1,440, so plug that in and solve for h...
1,440 = (1/2)5h²
2,880 = 5h² (multiply both sides by 2 to get rid of the fraction)
576 = h² (divide both sides by 5 to get the h value by itself)
24 = h (take the square root of both sides)
A teacher had 54 pencils gave p pencils to each of his s students. How many pencils does he have left?
Answer:
[tex]54-(p*s)[/tex]
Step-by-step explanation:
we know that
To find out how many pencils the teacher has left, subtract the quantity of p*s from 54
so
[tex]54-(p*s)[/tex]
Answer:
54-(p times s)
Step-by-step explanation:
I have a cucumber that is 3 inches long and another cucumber that is 5 inches long. If I cut the cucumbers into 3/8 in.thick slices how many slices will I have ?
Final answer:
You will have 8 slices from the 3-inch cucumber and 13 slices from the 5-inch cucumber.
Explanation:
To determine the number of slices you will have, you need to divide the length of each cucumber by the thickness of the slices. Let's start with the 3-inch cucumber:
3 inches / (3/8 inches) = 8 slices
Now let's calculate the slices for the 5-inch cucumber:
5 inches / (3/8 inches) = 13.33 slices
Since you cannot have a fraction of a slice, round down to the nearest whole number. Therefore, you will have 8 slices from the 3-inch cucumber and 13 slices from the 5-inch cucumber.
Complete the equation to represent each relationship. Then solve the equation. Drag and drop each term or number into the correct box to complete the equation and solve for x.
Twenty-eight less than 7 times a number is the same as 20 more than the number.
( "[ ]" Means empty space)
(Here are the numbers: 7, 8, x, 7x, 28, 20, -8)
The equation is [ ] - [ ] = [ ] + [ ].
The solution is: x = [ ]
28 less means subtract 28
7 times a number means7x
is means equals
20 more than a number means x +20
the equation is 7x-28 =x+20
to solve combine like terms
7x-x=20+28
6x=48 divide by 6 on both sides to isolate x
x=8
Answer: 28
Step-by-step explanation:
Yes
what is the measure of an angle, if three subtracted from twice the supplement and the result is 297 degrees?
Answer:
303
Step-by-step explanation:
I believe this is correct but I need to know the supplement.
If the formula in the picture below were used to find the r-value of the following data, what would be the value of ¥?
Answer:
option C
ȳ = 9
Step-by-step explanation:
ȳ (yBar) is used to represent mean value of y
Mean, which is the average score of the population on a given variable
It is represented by = ( Σ Xi ) / N
There are two steps to calculate mean value
Add the numberssum of all numbers = 3 + 7 + 8 + 11 + 16
= 45
2. Divide by how number of ys (there are 5 numbers)
45 / 5 = 9
So ȳ = 9
What is the length of the segment with endpoints A(1,7) and B(-3, -1)?
Answer:
[tex]d = \sqrt{80} = 8.94[/tex]
Step-by-step explanation:
We can find the distance using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We then substitute (1,7) as [tex](x_1,y_1)[/tex] and (-3,-1) as [tex](x_2,y_2)[/tex].
[tex]d=\sqrt{(-3-1)^2+(-1-7)^2} \\d=\sqrt{(-4)^2+(-8)^2} \\d=\sqrt{16+64}\\d=\sqrt{80}=8.94[/tex]
Answer with Step-by-step explanation:
The length of the line segments with end point (a,b) and (c,d) is:
[tex]\sqrt{(a-c)^2+(b-d)^2}[/tex]
Here, we have to find the length of the segment with endpoints A(1,7) and B(-3, -1)
i.e. (a,b)=(1,7)
and (c,d)=(-3,-1)
Length= [tex]\sqrt{(1+3)^2+(7+1)^2}[/tex]
= [tex]\sqrt{4^2+8^2}[/tex]
= [tex]\sqrt{16+64}[/tex]
= [tex]\sqrt{80}[/tex]
Hence, Length of line segment is:
[tex]\sqrt{80}[/tex] or [tex]4\sqrt{5}[/tex]
how do you write 5/5 as a percentage
5/5 and then convert this to 100. so, you would multiply it by 20 which would equal 100/100. it’s a whole number, so it’d just be 100%.
Find the area and perimeter of triangle ABF with F(-3,0), A(1,3), and B(7,-5)
Answer:
Step-by-step explanation:
The area would be 25 square centimeter
If f(x)=2(x)^2+5\sqrt((x+2)), complete the following statement
f(0)=
Answer: 5
Step-by-step explanation:
[tex]f(x)=2(x)^2+5\\\\f(0)=2(0)^2+5\\\\.\qquad =0+5\\\\.\qquad =5[/tex]
PLEASE HELP ASAP !! TANGENT RATIO
I will help if u help me pls
QUESTION 1
The tangent ratio is the ratio of the length of the opposite side to the length of the adjacent side.
[tex] \tan(M) = \frac{LN}{NM} [/tex]
[tex] \tan(M) = \frac{8}{6} = \frac{4}{3} [/tex]
QUESTION 2.
We again use the tangent ratio to find angle S.
[tex] \tan(S) = \frac{TU}{SU} [/tex]
[tex]\tan(S) = \frac{0.75}{3.5} [/tex]
[tex]\tan(S) = \frac{3}{14} [/tex]
[tex]S = { \tan}^{ - 1} ( \frac{3}{14} )[/tex]
[tex]S = 12.09 \degree[/tex]
to the nearest hundredth.
QUESTION 3
We can find CE using the tangent ratio.
[tex] \tan(27 \degree) = \frac{18}{CE} [/tex]
[tex]CE = \frac{18}{ \tan(27 \degree) } [/tex]
[tex]CE = 35.3 \degree[/tex]
to the nearest 0.1.
Marni and Mikela are playing a color-guessing game. Each player chooses two colors from a list of red (R), blue (B), green (G), purple (P), and yellow (Y). A player then has three chances to correctly guess both the colors that the other player chose. The simulation of Marni’s guesses about Mikela’s colors are shown in the table. If Mickela’s colors are red and green, what is the experimental probability that Marni’s guesses are correct? Write the answer as a fraction in simplest form.
trials
1 PRB 2 YBG 3 GPR 4 RYP 5 RYG 6 GYB 7 RGP 8 GPR 9 RPG 10 BGP
The answer should be 1/2.
Answer:
The answer is 1/2!
Step-by-step explanation:
What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth, if necessary. units
Answer:
The perimeter of the trapezoid is [tex]38.25\ units[/tex]
Step-by-step explanation:
we know that
The perimeter of the trapezoid is the sum of its four side lengths
so
In this problem
[tex]P=QR+RS+ST+QT[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]Q(8, 8), R(14, 16), S(20, 16),T(22, 8)[/tex]
step 1
Find the distance QR
[tex]Q(8, 8), R(14, 16)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(16-8)^{2}+(14-8)^{2}}[/tex]
[tex]d=\sqrt{(8)^{2}+(6)^{2}}[/tex]
[tex]d=\sqrt{100}[/tex]
[tex]QR=10\ units[/tex]
step 2
Find the distance RS
[tex]R(14, 16), S(20, 16)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(16-16)^{2}+(20-14)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(6)^{2}}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]RS=6\ units[/tex]
step 3
Find the distance ST
[tex]S(20, 16),T(22, 8)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(8-16)^{2}+(22-20)^{2}}[/tex]
[tex]d=\sqrt{(-8)^{2}+(2)^{2}}[/tex]
[tex]d=\sqrt{68}[/tex]
[tex]ST=8.25\ units[/tex]
step 4
Find the distance QT
[tex]Q(8, 8),T(22, 8)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(8-8)^{2}+(22-8)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(14)^{2}}[/tex]
[tex]d=\sqrt{196}[/tex]
[tex]QT=14\ units[/tex]
step 5
Find the perimeter
[tex]P=10+6+8.25+14=38.25\ units[/tex]
A ___compares the two numbers by division
Answer:
Ratio
Step-by-step explanation:
A ratio is a comparison of two numbers by division.
A ratio is a comparison of two numbers by division. It compares two quantities measured in the same units.
Ratios compare two quantities measured in the same units. Ratios have no units. They are expressed as a fraction in simplest form.
A ratio compares two numbers by division. In scientific notation, you divide the numbers out front and subtract the exponents. For the logarithm of a number resulting from division, the difference between the logarithms of two numbers is calculated.
Explanation:A ratio is what compares two numbers by division. It's a way of comparing or relating one amount to another. For example, if we have 10 apples and 5 oranges, the ratio of apples to oranges is 10 to 5, which can also be expressed through division as 10/5 (which simplifies to 2).
In cases involving scientific notation, division can be handled by performing the division upfront and then subtracting the exponents. When working with the logarithm of a number resulting from division, the result would be the difference between the logarithms of the two original numbers.
Consider the following scientific notation division example: given 106 and 103, you would first divide the 'numbers out front', in this case, 1 divided by 1 equals 1. Then you subtract the exponents, 6 minus 3, which equals 3. Thus, 106 divided by 103 equals 103.
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Which is the value of the equation?
Answer:
A+7
Step-by-step explanation:
Use the properties of equality to find the value of x in this equation.
4(6x – 9.5) = 46
Answer:
X = 3.5
Step-by-step explanation:
First, we distribute the 4 inside of the parentheses.
4 * 6x = 24x
4 * -9.5 = -38
We now have 24x -38 = 46
Now, we will add 38 to each side to isolate the x.
24x - 38 = 46
+38 +38
We now have 24x = 84
Finally, we will divide each side by 24 to find out what x equals.
24x = 84
— —
24 24
We now have x = 3.5
So, our answer is x = 3.5
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
X = 3.5
Step-by-step explanation:
First, we distribute the 4 inside of the parentheses.
4 * 6x = 24x
4 * -9.5 = -38
We now have 24x -38 = 46
Now, we will add 38 to each side to isolate the x.
24x - 38 = 46
+38 +38
We now have 24x = 84
Finally, we will divide each side by 24 to find out what x equals.
24x = 84
— —
24 24
We now have x = 3.5
So, our answer is x = 3.5
just look at the question on the picture
Answer:
A = ½bh + lw
Step-by-step explanation:
Your composite figure is a triangle on top of a rectangle.
The formula for the area of a triangle is A = ½bh.
The formula for the area of a rectangle is A = lw.
The formula for the total area is
A = ½bh + lw.
Rob deposits $1000 in a savings account at New York State bank that pays 4.4% interest,compounded monthly. How much is in his account at the end of one year? What is the APY for this account to the nearest hundredth of a percent ?
Answer:
$45
Step-by-step explanation:
I used a compound interest calculator
Rob will have $1044.89 in his account at the end of one year. The APY for this account is 4.47%.
Explanation:The subject of the question is related to calculating the final balance of a savings account that earns compound interest. In Rob's case, he deposits $1000 in a bank account that pays 4.4% interest compounded monthly. In order to calculate the balance at the end of the year, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.
To find Rob's account balance at the end of one year, we would substitute the values into the formula as follows: A = 1000(1 + 0.044/12)^(12*1) = $1044.89. This means Rob will have $1044.89 in his account at the end of one year. The APY (Annual Percentage Yield) for this account is closer to the nominal rate due to the effect of monthly compounding, which follows the formula APY = (1 + r/n)^(nt) - 1. Substituting the values gives us, APY = (1+ 0.044/12)^(12) - 1 = 0.044682, which is approximately 4.47 after converting to percentage and rounding to the nearest hundredth of a percent.
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Plz help me !!!!!!!!!!
Answer: a) 27
Step-by-step explanation:
[tex]81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}}=3^{\frac{12}{4}}=3^3=\boxed{27}[/tex]