Answer:
π radians.
3.14.
Step-by-step explanation:
The period is π radians which is 3.14 radians to the nearest hundredth.
What is the volume of the oblique cube
Answer:
[tex]\large\boxed{V=\dfrac{1600\pi}{3}\ cm^3}[/tex]
Step-by-step explanation:
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r - radius
H - height
We have r = 10cm and H = 16cm. Substitute:
[tex]V=\dfrac{1}{3}\pi(10^2)(16)=\dfrac{1}{3}\pi(100)(16)=\dfrac{1600\pi}{3}\ cm^3[/tex]
A piece of wood is 10 1/2 feet long. You cut off 3 3/8 feet to repair your living room floor. How much wood is Left? write your answer as a decimal form to the thousandths place.
Answer:
7.125 feet
Step-by-step explanation:
1. convert both fractions to decimals by dividing numerator by denominator
10 1/2 = 10.5
3 3/8 = 3.375
2. Subtract 10.5-3.375 = 7.125 feet left
Answer:
7.125 ft
Step-by-step explanation:
Which situation describes DEPENDENT events? A) A die is rolled, the outcome is recorded, then a coin is tossed. B) A die is rolled, the outcome is recorded, then the same die is rolled again. C) A spinner is spun once, the outcome is recorded, then it is spun again. D) A card is drawn from a deck, then a second card is drawn from the same deck. Eliminate
Answer:
the answer is D
Step-by-step explanation:
Which is greater: An angle showing a turn through 1/6 of a circle or an angle showing to turn through 1/5 of a circle explain your answer
Answer:
An angle showing a turn through 1/5 of a circle is greater
Step-by-step explanation:
we know that
A complete circle represent [tex]360\°[/tex]
so
An angle showing a turn through 1/6 of a circle is
[tex](360\°)*(\frac{1}{6})=60\°[/tex]
An angle showing a turn through 1/5 of a circle is
[tex](360\°)*(\frac{1}{5})=72\°[/tex]
therefore
An angle showing a turn through 1/5 of a circle is greater
I will mark brainliset
Answer:
3c=36
c = 12
Step-by-step explanation:
We have 36 sugar flowers
We put 3 on each cupcake
The number of cupcakes times the number of flowers per cupcake equals the total flowers
3*c = 36
Divide each side by 3
3c/3 = 36/3
c = 12
Answer:
12 cupcakes
Step-by-step explanation:
3 sugar flowers on each (1) cupcake
36 sugar flowers on c cupcakes
3c = 36 * 1
3c = 36
c = 36/3
c = 12 cupcakes
What term describes this polygon ?
Answer:
Step-by-step explanation:
The last one
I hope I helped you.
Polygons are closed figures based on a plane that are characterized by their sides and angles. Without an image or description of the polygon, it's impossible to identify the specific polygon indicated.
Explanation:In mathematics, polygons are divided based on many factors such as the number of sides, length of sides, angle measures, etc. However, without the image or description of the polygon, I can't definitively tell what polygon you're referring to. For example, a polygon could be anything from a triangle (3 sides) to a decagon (10 sides). Remember, a polygon is basically a closed figure formed by three or more sides in a plane.
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Solve by using proper methods. Show your work.
Determine the principal P that must be invested at 7%, compounded monthly, so that $200,000 will be available for retirement in 15 years?
Answer:
$70,201.38
Step-by-step explanation:
To determine the principal amount, we can use the formula:
[tex]P=\dfrac{A}{(1+\frac{r}{n})^{nt}}[/tex]
A = $200,000
r = 7% or 0.07
t = 15 years
n = 12
Now let's substitute our values.
[tex]P=\dfrac{200,000}{(1+\frac{0.07}{12})^{12(15)}}[/tex]
[tex]P=\dfrac{200,000}{(1.00583333333)^{12(15)}}[/tex]
[tex]P=70,201.38[/tex]
So the principal needed to get 200,000 in 15 years is $70,201.38.
list in order from the greatest to the least 131.5 ,13.15,131.05,1,315
315 > 131.5 > 131.05 > 13.15 > 1
Problem Page Manuel drove 871 miles in 13 hours. At the same rate, how long would it take him to drive 603 miles?
Answer:
9 hours.
Step-by-step explanation:
Average rate = distance / time
= 871 / 13
= 67 mph
So the time to travel 603 miles
= distance / rate
= 603 / 67
= 9 hours.
I dont understand anything
Answer:
D
Step-by-step explanation:
Answer:
The correct answer options are D and E.
Step-by-step explanation:
We are to determine whether which of the given data sets in the answer options are continuous.
For this, we need to know what a continuous data set is.
A data set which have no definite end to its value but keep on continuing.
Here, the data sets given in A, B and C have definite starting and ending points.
While D and E are continuous sets as its values are continuing.
Find the missing sides. Will give Brainliest!!!
Answer:
Step-by-step explanation:
The first triangle is a 30-60-90 right triangle. We have a Pythagorean triple associated with this type of triangle that is
(x , x√3, 2x) which represent the side lengths across from the
(30°, 60°, 90°)
We have the side length across from the 30° as 14. That means that x = 14. In our figure, "y" is across from the 60° which means that the side length is
14√3, which has a decimal equivalency of 24.24871131; in our figure "x" is the hypotenuse which is 14(2) which is 28.
For the intents and purposes of keeping you not confused:
x = 28, y = 14√3 (or 24.24871131)
The next triangle is also a right triangle but this one is a 45-45-90. The Pythagorean triple for that triangle is
( x , x , x√2 ) as the side lengths across from the
(45°, 45°, 90°)
We have a side length across from the 90° as 18 units long; therefore, according to our Pythagorean triple:
x√2 = 18 and
x = [tex]\frac{18}{\sqrt{2} }[/tex] and, rationalizing the denominator:
[tex]x=\frac{18\sqrt{2} }{2}[/tex] so
x = 9√2, which has a decimal equivalency of 12.72792206.
Summing up again:
x = 9√2 (or 12.72792206)
Consider the function below. f(x) = ln(x4 + 27) (a) Find the interval of increase. (Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Find the local maximum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (c) Find the inflection points. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find the interval where the graph is concave upward. (Enter your answer using interval notation.) Find the intervals where the graph is concave downward. (Enter your answer using interval notation.)
Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum.
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.
To find the interval of increase and decrease, we need to find where the derivative of the function is positive and negative, respectively. The derivative is positive when x > 0 and negative when x < 0.
Explanation:To find the interval of increase and decrease, we need to find where the derivative of the function is positive and negative, respectively. The derivative of f(x) = ln(x^4 + 27) can be found using the chain rule: f'(x) = (4x^3)/(x^4 + 27).
The derivative is positive when (4x^3)/(x^4 + 27) > 0, which occurs when x > 0.
The derivative is negative when (4x^3)/(x^4 + 27) < 0, which occurs when x < 0.
Therefore, the interval of increase is (0, infinity) and the interval of decrease is (-infinity, 0).
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The following shape is NOT a polygon because:
Answer:
The shape includes a curve.
Step-by-step explanation:
A polygon consists of joined straight lines - no curves.
(4CQ) Determine whether the series 3/2+9/8+27/32+...is convergent or divergent.
Answer:
The series is convergent ⇒ answer (a)
Step-by-step explanation:
* The series is 3/2 + 9/8 + 27/32 + ........
- It is a geometric series with:
- first term a = 3/2 and common ratio r = 9/8 ÷ 3/2 = 3/4
* The difference between the convergent and divergent
in the geometric series is :
- If the geometric series is given by sum = a + a r + a r² + a r³ + ...
* Where a is the first term and r is the common ratio
* If |r| < 1 then the following geometric series converges to a / (1 - r).
- Where a/1 - r is the sum to infinity
* The proof is:
∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number
∴ r^n approach to zero
∴ S = a(1 - 0)/(1 - r) = a/(1 - r)
∴ S∞ = a/1 - r
* If |r| ≥ 1 then the above geometric series diverges
∵ r = 3/4
∴ r < 1
∴ The series is convergent
Triangle ABC has vertices at A(–2, 3), B(–3, –6), and C(2, –1). Is triangle ABC a right triangle? If so, which angle is the right angle? No, the triangle has no right angles. Yes, the right angle is angle A. Yes, the right angle is angle B. Yes, the right angle is angle C.
Answer:
Yes, the right angle is angle C.
Step-by-step explanation:
The given triangle has vertices at A(–2, 3), B(–3, –6), and C(2, –1).
Recall the slope formula;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The slope of the line going through AC is
[tex]m_{AC}=\frac{-1-3}{2--2}=-1[/tex]
The slope of the line going through BC s
[tex]m_{AC}=\frac{-1--6}{2--3}=1[/tex]
The product of the slopes of AC and BC is [tex]-1\times1=-1[/tex]
This means line AC is perpendicular to BC at C.
Hence the triangle ABC is right angled at C.
Answer:
Yes, the right angle is angle C.
Step-by-step explanation:
Suppose that a recent poll found that 52% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 150 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor. The mean of X is nothing. (Round to the nearest whole number as needed.) The standard deviation of X is nothing. (Round to the nearest tenth as needed.) (b) Interpret the mean. Choose the correct answer below. A. For every 150 adults, the mean is the minimum number of them that would be expected to believe that the overall state of moral values is poor. B. For every 150 adults, the mean is the range that would be expected to believe that the overall state of moral values is poor. C. For every 78 adults, the mean is the maximum number of them that would be expected to believe that the overall state of moral values is poor. D. For every 150 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. (c) Would it be unusual if 71 of the 150 adults surveyed believe that the overall state of moral values is poor? Yes No
To compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor, we use formulas for a binomial distribution. The mean is 78 and the standard deviation is 6.34. The interpretation of the mean is that for every 150 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor.
Explanation:To compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor, we can use the formulas for a binomial distribution. The mean is found by multiplying the total number of trials (150) by the probability of success (0.52): mean = 150 × 0.52 = 78. The standard deviation is found by taking the square root of the product of the number of trials, the probability of success, and the probability of failure (1 - 0.52): standard deviation = √(150 × 0.52 × 0.48) = 6.34.
The interpretation of the mean is that for every 150 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor, which in this case is 78.
It would not be unusual if 71 out of the 150 adults surveyed believe that the overall state of moral values is poor, as this value falls within one standard deviation from the mean.
through (2, 2), y-intercept 10 a. y = x + 10 c. y = -4x + 10 b. y = 4x + 10 d. y = x - 40
Answer:
C. y = -4x +10
Step-by-step explanation:
Equation of a line is found by the formula y = mx +b
Where m is the slope and b is the y intercept
we see that y-intercept is given as 10, so b = 10 and we plug in the coordinate (2,2) into the equation to find the slope (m). We plug in x = 2 and y = 2. Shown below:
[tex]y=mx+b\\2=m(2)+10\\2=2m+10\\2-10=2m\\-8=2m\\m=\frac{-8}{2}\\m=-4[/tex]
We know the value of m to be -4 and b to be 10, thus we can write the equation as:
[tex]y=-4x+10[/tex]
Answer choice C is right.
Answer:
c. y = -4x + 10
Step-by-step explanation:
y = mx + b where b = y -intercept = 10
so
y = mx + 10
Plug in (2,2) to find slope m
2 = 2m + 10
2m = -8
m = -4
Slope m = -4
Equation
y = -4x + 10
(Q4) Solver the inequality.
6^x < 3^x
Answer:
D
Step-by-step explanation:
We need to graph both [tex]6^x[/tex] and [tex]3^x[/tex] and figure out the x-value at which the graph of [tex]6^x[/tex] is LESS THAN that of the graph of [tex]3^x[/tex].
The attached picture shows the graph of [tex]6^x[/tex] in BLUE and the graph of [tex]3^x[/tex] in RED.
We need to find x-value where the BLUE graph is "BELOW" the RED graph. We can see that this occurs when x < 0.
Thus the correct answer is D
Identify the diameter of ⊙J, given that A=625π in^2. PLEASE HELP!!
d = 25π in.
d = 25 in.
d = 50 in.
Answer:
d = 50 in.
Step-by-step explanation:
A = Pi*r^2
625Pi = Pi*r^2
625 = r^2
r = 25 in
Diamenter = 2(radius=
d = 50 in
Best regards
[tex](x-4)^{2} ^+(y-3)^{2} =16[/tex]
Find the center and radius
(explanation please, I need help)
an equation for a circle has formula
(x-m)² + (y-n)² = r²
where (m,n) is its center
and r is its radius
so, the equation has center (4,3) and radius 4
the equation is derived from the pythagorean theorem
translate inequality: "half of the sum of a number and five is a maximum of ten"
Answer:
[tex]\frac{1}{2} (x+5)\leq 10[/tex]
Step-by-step explanation:
Half the sum of (1/2 * ) a number and five (x + 5) is a maximum of 10 (less than or equal to).
Answer:[tex]\frac{x+5}{2}\leq 10[/tex]
Step-by-step explanation:
Plz help me on this
WILL GIVE BRAINLIEST
Answer:
none
Step-by-step explanation:
y = -4x^2 +3x-2
To find the x intercepts, let y =0
0 = -4x^2 +3x-2
Using the discriminant
a=-4, b=3 c=-2
b^2 -4ac
3^2 -4(-4)(-2)
9 -32
-23
Since this is negative all the roots are complex, so it has no real roots
none
You have 6 large candy bars. You want to split each one into thirds. How many candy bar pieces will you then have?
Answer:
[tex]18\ pieces[/tex]
Step-by-step explanation:
step 1
Divide each large candy bar into thirds
so
[tex]\frac{1}{3}[/tex]
Now for each large candy bar you have 3 pieces of [tex]\frac{1}{3}[/tex]
step 2
Find the total number of candy bars pieces by proportion
[tex]\frac{1}{3}\frac{bar}{pieces} =\frac{6}{x}\frac{bar}{pieces}\\ \\x=6*3\\ \\x=18\ pieces[/tex]
Final answer:
To determine the total number of candy bar pieces after splitting 6 large bars into thirds, you multiply 6 by 3 resulting in 18 pieces.
Explanation:
The student's question is about dividing candy bars into thirds. If you start with 6 large candy bars and want to split each one into thirds, you end up with 6 groups of 3 pieces. To find the total number of candy bar pieces, you multiply the number of candy bars by the number of pieces you want to make from each bar, which is:
6 bars × 3 pieces per bar = 18 pieces.
Therefore, after splitting all the large candy bars into thirds, you will have a total of 18 candy bar pieces.
please help 50 points
Factor the expression completely over the complex numbers. y^4+14y^2+49
Rewrite y^4 as (y^2)^2
(y^2)^2 + 14y^2 +49
Rewrite 49 as 7^2
(y^2)^2 + 14y^2 +7^2
Factor using the perfect square rule.
Final answer: (y^2 + 7)^2
The factorization of given expression [tex]y^{4}[/tex] + 14y² + 49 is a perfect square which is equal to (y² + 7)².
What is factorization ?
The factorization of algebraic expressions is the process of identifying two or more expressions whose product is the given expression.
The given expression is [tex]y^{4}[/tex] + 14y² + 49.
Before factorization if we look at the given expression we can find out that it is a form of perfect square which is :
A² + B² + 2AB.
Let's convert the given expression in the perfect square form. This will be equal to :
(y²)² + (7)² + 2 × y² × 7
We know that the expansion A² + B² + 2AB is equal to (A+B)².
Here ; A = y² and B = 7.
So , the factorization of given expression [tex]y^{4}[/tex] + 14y² + 49 is equal to :
(y² + 7)²
Therefore , the factorization of given expression [tex]y^{4}[/tex] + 14y² + 49 is a perfect square which is equal to (y² + 7)².
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the graph of F(x), shown below, has the same shape as the graph of G(x)=x^4. but it is shifted 3 units to the right. which is its equation.
Answer:
C. F(X) = (X - 3)⁴
Step-by-step explanation:
Hope this helps you.
The graph of F (x) will be;
⇒ F (x) = (x - 3)⁴
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The function G (x) is,
⇒ G (x) = x⁴
And, The function of G (x) is shown in figure.
And, It is shifted 3 units to the right.
Now,
Here, The function G (x) is,
⇒ G (x) = x⁴
Since, The function of G (x) is shown in figure.
And, It is shifted 3 units to the right.
So, The function of F(x) become;
⇒ F (x) = (x - 3)⁴
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upper text bottom text left text right text this is for min word req problem in picture
Replace x in the second equation with the value of x from the first one.
x = -3y
x + y = -6
-3y + y = -6
Simplify:
-2y = -6
Divide both sides by -2:
y = -6 / -2
y = 3
Now replace Y with 3 in one of the equations to solve for x:
x = -3y = -3(3) = -9
X = -9, Y = 3
(-9,3)
1) Write an expression to represent the pattern. 19, 27, 35, 43...
2) Write an expression to represent the sequence. 71, 62, 53, 44...
Answer:
1) The expression to represent the pattern is 11 + 8n
2) The expression to represent the pattern is 80 - 9n
Step-by-step explanation:
1) * Lets study the pattern;
- 19 , 27 , 35 , 43 , ..................
∵ 27 - 19 = 8
∵ 35 - 27 = 8
∵ 43 - 35 = 8
∴ The difference is constant between each two consecutive terms
∴ It is an arithmetic sequence
* Lets take about the arithmetic sequence
- If the first term is a and the constant difference is d
∴ a1 = a , a2 = a + d , a3 = a + 2d , a4 = a+ 3d , ........
∴ an = a + (n - 1)d, where n the position of the term in the sequence
* Now we will use this rule to find the expression of our pattern
∵ a = 19 , d = 8
∴ an = 19 + (n - 1)(8) ⇒ an = 19 + 8n - 8 ⇒ an = 11 + 8n
* Lets check it;
∵ a3 = 11 + 8(3) = 11 + 24 = 35 ⇒ true
∴ The expression to represent the pattern is 11 + 8n
2) * Lets study the pattern;
- 71 , 62 , 53 , 44 , ..................
∵ 62 - 71 = -9
∵ 53 - 62 = -9
∵ 44 - 53 = -9
∴ The difference is constant between each two consecutive terms
∴ It is an arithmetic sequence
* We will use the same rule above to find the expression of the pattern
∵ a = 71 , d = -9
∴ an = 71 + (n - 1)(-9) ⇒ an = 71 + -9n + 9 ⇒ an = 80 - 9n
* Lets check it;
∵ a4 = 80 - 9(4) = 80 - 36 = 44 ⇒ true
∴ The expression to represent the pattern is 80 - 9n
the cost of painting a wall varies directly with the area of the wall.Write a formula for the cost of painting a rectangular wall with dimensions l by w. With respect to l and w, does the cost vay directly,jointly, or inversely?
The cost of painting a wall varies jointly with the length and width of the wall, represented by the formula C = k * l * w, where C is the cost, k is the cost per unit area, l is the length, and w is the width.
The cost of painting a wall varies directly with its area. The area of a rectangular wall is found by multiplying its length (l) by its width (w), giving the formula A = l * w for the area. If C represents the cost of painting, and k is the cost per unit area, then the cost formula can be written as C = k * A, which simplifies to C = k * l * w. This means the cost varies jointly with the length and width of the wall, as both dimensions contribute to the total area. Therefore, the cost does not vary directly with l or w alone, but with their product.
please help me!!!!!!!
Answer:
I would think the answer would be 35
Step-by-step explanation:
Step 1: Round your answer to 2 decimal places.
Step2: Divide or Multiply your answer you got by 2.
cos42= 35/y
y=35/cos42
y= 47.10
is the answer
The volume of a prism is 48 cubic centimeters. If the length is 2 centimeters and the width is 4 centimeters. What is the height?
Answer:
6
Step-by-step explanation:
volume is (lwh) since youre trying to find the height just multiply the 2 and 4 together to get 8. Then divide 8 by 48 to get your height.