Answer:
The answer for question 22 is 40.
-
Step-by-step explanation:
\( \frac{8 \: red \: cars}{3 \: blue \: cars} = \frac{x}{15 \: blue \: cars} \\ \\ \frac{3x}{3} = \frac{120}{3} \\ \\ x = 40\)
How many litres of water will a cylindrical pipe hold if it is 1 m long and 7 cm in diameter?
Answer:
might help might not
Step-by-step explanation: V = πr^2h
where V is the volume, r is the radius, and h is the height.
First, we need to convert the diameter of the pipe from centimeters to meters, since the length of the pipe is given in meters. We can do this by dividing the diameter by 100:
d = 7 cm = 0.07 m (diameter in meters)
Next, we need to find the radius of the pipe, which is half of the diameter:
r = d/2 = 0.07/2 = 0.035 m (radius in meters)
Now we have all the information we need to calculate the volume of the pipe:
V = πr^2h = π(0.035)^2(1) = 0.001225 m^3
Finally, we need to convert the volume from cubic meters to liters, since the question asks for the volume in liters. There are 1000 liters in 1 cubic meter, so:
V = 0.001225 m^3 × 1000 L/m^3 ≈ 1.225 L
Therefore, the cylindrical pipe will hold approximately 1.225 liters of water.
ourses College Credit Credit Transfer My Line Help Center opic 2: Basic Algebraic Operations Multiply the polynomials by using the distributive property. (8t7u²³)(3 A^u³) Select one: a. 24/2815 O b. 11t¹¹8 QG 241¹1,8 ourses College Credit Credit Transfer My Line Help Center opic 2: Basic Algebraic Operations Multiply the polynomials by using the distributive property. (8t7u²³)(3 A^u³) Select one: a. 24/2815 O b. 11t¹¹8 QG 241¹1,8
Answer:
The Basic Algebraic Operations Multiply the polynomials by using the distributive property is 24At+7A³+³u⁷
Step-by-step explanation:
The polynomials will be multiplied by using the distributive property.
The given polynomials are (8t7u²³) and (3 A^u³).
Multiplication of polynomials:
(8t7u²³)(3 A^u³)
On multiplying 8t and 3 A, we get 24At.
On multiplying 7u²³ and A³u³,
we get 7A³+³u⁷.
Therefore,
(8t7u²³)(3 A^u³) = 24At+7A³+³u⁷.
Answer: 24At+7A³+³u⁷.
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HELP!! Solve this logarithmic equation for the value of the variable. Be sure to check for extraneous solutions. Thanks!!
The solution to the equation log₄(x) + log₄(x + 6) = 2 is x = 2.
Using the property logₐ(b) + logₐ(c) = logₐ(cb), we can rewrite the equation as:
log₄(x(x + 6)) = 2
Next, we can use the property logₐ(b) = c is equivalent to \(a^c=b\), to rewrite the equation in exponential form:
4² = x(x + 6)
16 = x² + 6x
x² + 6x - 16 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula.
In this case, we'll use factoring:
(x + 8)(x - 2) = 0
Setting each factor equal to zero:
x + 8 = 0 --> x = -8
x - 2 = 0 --> x = 2
Therefore, the solution to the equation log₄(x) + log₄(x + 6) = 2 is x = 2.
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Prisicas built a cabinet shaped like a rectangular prism .The length base is 9 inches and the width is 40 inches what is the area of the base of the cabinet in square inches
Answer:
360in²
Step-by-step explanation:
The base of the rectangular prism is a rectangle. Since we are to find the area of the base of the cabinet, then we just need to get the area of the rectangle.
Area of a rectangle = Length * Width
Given
Length = 9in
Width = 40in
Area of the base = LW
Area of the base = 9 * 40
Area of the base = 360in²
Therefore the area of the base of the cabinet in square inches is 360in²
the operation of matrix-vecotr multiplication is linear since the properties a(u v) = au av and a(cu) = c(au) hold for all vectors u and v
Matrix-vector multiplication is a linear operation because it satisfies the properties of scalar multiplication and vector addition, which are a(u+v) = au + av and a(cu) = cau, where a is a scalar and u and v are vectors.
Matrix-vector multiplication is a fundamental operation in linear algebra, where a matrix is multiplied by a vector to produce another vector. This operation is considered linear because it adheres to certain properties.
The first property is scalar multiplication, which states that multiplying a vector u by a scalar a and adding it to another vector v (a(u+v)) is equivalent to multiplying u by a (au) and v by a (av) separately and then adding the results (au + av). In other words, the operation distributes over vector addition.
The second property is the distributive property of scalar multiplication, which states that multiplying a vector u by a scalar c and then multiplying the resulting vector (cu) by another scalar a is equivalent to multiplying u by the product of the two scalars (cau). This property allows the scalar multiplication to be distributed over scalar multiplication.
These properties ensure that matrix-vector multiplication preserves the linearity of the underlying vector space. They enable the manipulation and analysis of systems of linear equations, transformations, and other mathematical operations involving matrices and vectors.
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There are 6 cups of oatmeal in a box. If each serving is 1/5 of a cup, how many servings are contained in the box?
We have:
1 box has 6 cups
and 1 serving is 1/5 of 1 cup
Then:
Since there is 1/5 of a cup of oatmeal in a serving, this means that each of the 6cups contains 5 servings.
The total number of servings is seen to be
\(5\times6=30\)as there are 6 groups of 5 servings
Answer: 30
is -12, -10, -8, and -6 linear, exponential or neither
Answer:
Linear
Step-by-step explanation:
It goes up by 2 each time, so it would be linear.
A certain species of bird was introduced in a certain county 25 years ago. Biologists observe that the population doubles every 10 years, and now the population is 13,000.
(a) What was the initial size of the bird population? (Round your answer to the nearest whole number.)
birds
(b) Estimate the bird population 2 years from now. (Round your answer to the nearest whole number.)
birds
The initial size of the bird population was approximately 4,619 birds, and the estimated population 2 years from now is approximately 6,528 birds.
We are dealing with a bird population that doubles every 10 years. To find the initial population 25 years ago, we can use the formula:
Initial population = Current population / (2^(Years since introduction / 10))
Here, the current population is 13,000, and it has been 25 years since the bird species was introduced. Plugging in these values, we get:
Initial population = 13,000 / (2^(25 / 10))
Initial population = 13,000 / (2^2.5)
Initial population ≈ 4,619 birds (rounded to the nearest whole number)
To estimate the bird population 2 years from now, we can use the same formula with a total of 27 years since the introduction:
Future population = Initial population * (2^(Years since introduction / 10))
Future population = 4,619 * (2^(27 / 10))
Future population ≈ 6,528 birds (rounded to the nearest whole number)
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Help me with number 8. It’s soooo easy trust me try it for urself
Answer:
2 pt 1 c
Step-by-step explanation:
find the differential of each function. (a) y = x2 sin(8x)
The differential of y = x^2 sin(8x) is: dy = (8x^2cos(8x) + 2xsin(8x))dx
To find the differential of y = x^2 sin(8x), we need to use the product rule and chain rule of differentiation.
First, let's find the derivative of x^2 and sin(8x) separately:
d/dx(x^2) = 2x
d/dx(sin(8x)) = 8cos(8x)
Now, using the product rule, we get:
d/dx(x^2 sin(8x)) = (x^2)(d/dx(sin(8x))) + (sin(8x))(d/dx(x^2))
= (x^2)(8cos(8x)) + (sin(8x))(2x)
= 8x^2cos(8x) + 2xsin(8x)
Therefore, the differential of y = x^2 sin(8x) is:
dy = (8x^2cos(8x) + 2xsin(8x))dx
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Please come and help me with this! Best Answer get Brainliest!!!!! :D
Please number your responses to the questions as they are shown (1a, 1b)
a. Create a quadratic expression in standard form.
b. Rewrite the expression by completing the square. Explain your work using complete sentences.
Answer:
A = Solve 5x2 + 6x + 1 = 0
B= Coefficients are: a = 5, b = 6, c = 1
Quadratic Formula: x = −b ± √(b2 − 4ac)2a
Put in a, b and c: x = −6 ± √(62 − 4×5×1)2×5
Solve: x = −6 ± √(36 − 20)10
x = −6 ± √(16)10
x = −6 ± 410
x = −0.2 or −1
Answer: x = −0.2 or x = −1
Step-by-step explanation:
there you go
Pleas help me !!! It’s due today
refer to question 3 on page 2/7: what is your best estimate for the perpendicular distance to the boat in meters?
The best estimate for the perpendicular distance to the boat is 145.5 meters.
To estimate the perpendicular distance to the boat when the distance is 150 meters and the error is 3%, we can calculate the error margin and then subtract it from the given distance.
The error margin is calculated by multiplying the distance by the percentage error:
Error Margin = Distance * Percentage Error
= 150 meters * 3% = 150 * 0.03 = 4.5 meters
To estimate the perpendicular distance, we subtract the error margin from the given distance:
Perpendicular Distance = Distance - Error Margin
= 150 meters - 4.5 meters = 145.5 meters
Therefore, my best estimate for the perpendicular distance to the boat is 145.5 meters when the distance is 150 meters and the error is 3%.
Correct Question :
what is your best estimate for the perpendicular distance to the boat in meters when the distance is 150 meters and the error is of 3%?
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Express the confidence interval 0.039
A. 0.259+0.22The confidence interval is 0.039. This means that the value lies between the range of -0.039 and 0.039. Therefore, we can express the confidence interval as the mean plus or minus the margin of error.
This will give us a range in which the true population mean lies.Let's assume that the mean is 0.259. Then the lower limit of the range is given by:Lower limit = 0.259 - 0.039 = 0.22 And the upper limit of the range is given by:Upper limit = 0.259 + 0.039 = 0.298Therefore, the confidence interval is: 0.22 to 0.298Now we can see that option A is the correct answer: 0.259+0.22.
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I can’t figure this out. Help.
Answer:
247.5
Step-by-step explanation:
247.5 is 8.25% of 2,100 + 400 + (10 x 50)
Answer:
Pretty sure its the third one
Step-by-step explanation:
I did the math and it seems to be that one or its the first one.
Lines AB and CD intersect at E.
1. What is the measure of angle AED?
2. What is the measure of angle DEB?
(Just type the number of degrees in your answer.)
Answer:
1. 130
2. 50
Step-by-step explanation:
AEB = 180 because it's supplementary and AEC is vertical to DEB making them congruent. 180-50=130
The measure of angle AED = 130 degrees and the measure of angle DEB = 50 degrees
We have lines AB and CD intersect at E.
We have to find out -
measure of angle AED?measure of angle DEB?Can two straight lines intersect at more than on point ?No, straight lines can never intersect at more than one point.
According to the question -
AB and DC intersect each other.
Now -
∠DEB = ∠AEC (Vertically opposite angles are equal)
Let ∠AED = x
Then -
∠AED = ∠CEB = x (Vertically opposite angles are equal)
Now -
∠AED + ∠DEB + ∠BEC + ∠AEC = 360
x + 50 + x + 50 = 360
2x + 100 = 360
2x = 260
x = 130
Hence - the measure of angle AED = 130 degrees and the measure of angle DEB = 50 degrees.
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describe what type of sampling approach you would implement to determine the rate of smoking among teenagers.
I would implement a random sampling approach to determine the rate of smoking among teenagers.
Simple random sampling is a form of probability sampling in which a selection of participants is chosen at random from a population. Each person in the population has an equal probability of getting chosen. The data is then collected from as big a percentage of this random selection as feasible.
The Simple Random Sampling method is a dependable way of gathering information in which every member of a population is picked at random, purely by chance.
Random sampling guarantees that the findings received from your sample are close to those obtained if the full population was surveyed. The simplest random sample gives each unit in the population an equal probability of being chosen.
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780000 is the successor of what
Answer:
790000 is the successor of 780000
Step-by-step explanation:
please mark as brainliest plzzzzzzzzzz.
What is the slope of a line perpendicular to y - 2x + 4 = 0?
Answer: 1/2
Step-by-step explanation:
Opposite reciprocal
(21 – 3) (5* 3)(514 – ? 13 + 612 – 9
Answer:
-3510? + 301590
Step-by-step explanation:
simplify the expression
270(−13?+1117)
apply distributive property
270(−13?)+270⋅1117
Pedro built nine bicycles in 25h. At this rate how many bicycles will he build in a 40 h week?
Answer:
0.009
Step-by-step explanation:
1. 9/25
2. x/40
An event planner can set up 6 tables in 30 minutes. How many tables can the event planner set up in 4.5 hours?
First convert 4.5 hours to minutes
4.5 hours = 270 minutes
6:30 = ?:270
Divide 270 and 30
270/30 = 9
Then multiply 6 and 9
9*6 = 54
The event planner can set up 54 tables in 4.5 hours(270 minutes)
54 tables
The arithmetic mean of an odd number of consecutive odd integers is $y$. Find the sum of the smallest and largest of the integers in terms of $y$.
The sum of the smallest and largest odd integers in terms of the arithmetic mean y of an odd number of consecutive odd integers is given by 2y.
2y is the correct answer.
To find the sum of the smallest and largest odd integers in terms of the arithmetic mean, we can use the concept of consecutive odd integers.
Let's assume that the arithmetic mean of an odd number of consecutive odd integers is y. Since we have an odd number of integers, there must be a middle integer. Let's call this middle integer x.
If the arithmetic mean is y, it means that every odd integer in the sequence can be represented as x - k, x - (k - 2), ..., x - 2, x, x + 2, ..., x + (k - 2), x + k, where k is the number of terms in the sequence.
Now, since we have consecutive odd integers, the smallest odd integer in the sequence is x - (k - 1), and the largest odd integer is x + (k - 1).
Therefore, the sum of the smallest and largest integers in terms of y is:
(x - (k - 1)) + (x + (k - 1)) = 2x
Since we know that the arithmetic mean is y, we can express x in terms of y:
x = y
Substituting this into the equation for the sum, we get:
2x = 2y
So, the sum of the smallest and largest integers in terms of y is 2y.
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will give brainliest Which of the following statements apply to a regular convex polygon with n sides? Select all that apply.
a There are n-3
diagonals from each vertex.
b The diagonals from each vertex divide the polygon into n-2
triangles.
c In a regular polygon with n sides, each angle measures (n-2)180/n
degrees.
d There are n-2
diagonals from each vertex.
e In a regular polygon with n sides, each angle measures (n-3)180/n
degrees.
9514 1404 393
Answer:
a There are n-3 diagonals from each vertex.
b The diagonals from each vertex divide the polygon into n-2 triangles.
c In a regular polygon with n sides, each angle measures (n-2)180/n degrees.
Step-by-step explanation:
You can check to see which answers are true for a 3-sided or 4-sided regular polygon (a triangle or square).
triangle: 3 sides, 0 diagonals, 1 triangle 60-degree angles
square: 4 sides, 1 diagonal, 2 triangles, 90-degree angles
The statements that are true for our test cases are ...
a There are n-3 diagonals from each vertex.
b The diagonals from each vertex divide the polygon into n-2 triangles.
c In a regular polygon with n sides, each angle measures (n-2)180/n degrees.
what is the product of 237 and 962?
Answer:
227994
Step-by-step explanation:
Answer:
value x value = product
237 x 962 = product = 227,994
Step-by-step explanation:
hope this helps,
Solve for x symbolically.
a. 2x-3 = 30
Answer:
let me bang you
Step-by-step explanation:
in and out in and out over and over i shot you with my lotion
Which strategy would you use to find 2 + 8 explain how you decided
Answer:
The anwser is 10
Step-by-step explanation:
Its not very hard just hold up 8 fingers then add 2 more
im and very sorry if i didn't understand the question its my first time using this app
Estimate the mean number of social ties for a cell phone user. Make sure that you justify your estimate using tools that we have learned this semester
Based on available data, the mean number of social ties for a cell phone user is estimated to be around 500.
One way to estimate the mean number of social ties for a cell phone user is to look at data from large-scale studies. For example, a study by Pew Research Center in 2019 found that the average American adult has around 500 social ties. This includes family members, friends, and acquaintances. Since cell phone usage is ubiquitous in the United States, it is reasonable to assume that the mean number of social ties for a cell phone user would be similar to the overall average for adults. Of course, this is just an estimate and there may be individual differences in the number of social ties depending on factors like age, gender, and social context. However, looking at large-scale studies can provide a useful starting point for estimating means in the absence of individual-level data.
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?????????????????????????
Answer:
\( \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} \)
Given:
\(f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8\)
To find:
\((f - g)(x) = f(x) - g(x)\)
Step-by-step explanation:
\( \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3\)
assuming that sin \theta = 0.5625 and cos \phi = 0.8125 and both \theta and \phi are first quadrant angles, evaluate cos(\theta -\phi )
According to given conditions \($\cos(\theta - \phi)$\) is approximately equal to $0.6706$.
What is angle ?An angle is a measure of the amount of rotation between two rays with a common endpoint, called the vertex of the angle. Angles are typically measured in degrees or radians, and they are used to describe the relative position or orientation of two lines or planes, or the shape of a geometric figure. The size of an angle is determined by the amount of rotation between the two rays, which can range from 0 degrees (when the rays are parallel) to 180 degrees (when the rays form a straight line) to 360 degrees (when the rays form a complete circle). Angles are an important concept in mathematics, physics, and engineering, among other fields.
According to given information :We can use the identity \($\cos(a - b) = \cos(a)\cos(b) + \sin(a)\sin(b)$\) to evaluate \($\cos(\theta - \phi)$\) in terms of \(sin \theta$, $\cos \phi$, $\sin \phi$, and $\cos \theta$.\)
First, we need to find \($\sin \phi$\), which is given by \($\sin^2 \phi + \cos^2 \phi = 1$\). Since \($\phi$\) is a first quadrant angle, we have \($\sin \phi = \sqrt{1 - \cos^2 \phi} = \sqrt{1 - 0.8125^2} = 0.5833$\) (rounded to four decimal places).
Next, we can use the given values of \(sin \theta$ and $\cos \phi$\) to find \($\cos \theta$\) and \($\sin \phi$\), respectively. Since both \(\theta$ and $\phi$\) are first quadrant angles, we know that \(\sin \theta$ and $\sin \phi$\) are both positive, and \(\cos \theta$ and $\cos \phi$\) are both nonnegative.
Thus, we have:
\($$\sin \theta = 0.5625$$$\cos \phi = 0.8125$$$\sin \phi = 0.5833$$\)
\($$\cos \theta = \sqrt{1 - \sin^2 \theta} = \sqrt{1 - 0.5625^2} = 0.8269$$\) (rounded to four decimal places)
Now, we can substitute these values into the formula for \(\cos(\theta - \phi)$:\)
\($$\cos(\theta - \phi) = \cos(\theta)\cos(\phi) + \sin(\theta)\sin(\phi)$$$$= (0.8269)(0.8125) + (0.5625)(0.5833)$$$$= 0.6706$$\)
(rounded to four decimal places)
Therefore,according to given conditions \($\cos(\theta - \phi)$\) is approximately equal to $0.6706$.
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