with working out if its possible! thank you <3

Answer:

2

Step-by-step explanation:

3/5 x 3  1/3

Lets make 3  1/3 to improper: 10/3

Now lets multiply.

3/5 x 10/3 = 30/15 = 2

Hope helps :3

Answer:

the answer to this question is 2

Answer: The answer is C.

Step-by-step explanation:

Since x = 5, we will substitute.

A- 5<2. Five is less than two.

B- 5>9. Five is greater than nine.

C- 5<18. Five is less than eighteen.

D- 5>42. Five is greater than forty-two.

The only logical answer is C, since five IS less than eighteen.

The inequality expression that gives the correct solution of x = 5 is x < 18

Inequalities are expressions not separated by an equal sign.

The inequality signs are <, >, ≤ and ≥

< means less than

> means greater than;

≤ means less than and equal to

≥ means greater than and equal to

The inequality expression that gives the correct solution of x = 5 is x < 18

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Answer: 0.924

Step-by-step explanation:

Given

\(\frac{2.310x}{4y} *\frac{8y}{5x}\)

Simplify  \(\frac{2.310x}{4y}\) to \(\frac{0.5775x}{y}\)

\(\frac{0.5775x}{y}*\frac{8y}{5x}\)

Cancel y

\(0.5775x* \frac{8}{5x}\)

Cancel x

\(0.5775* \frac{8}{5}\)

Use the rule, \(a*\frac{b}{c} =\frac{ab}{c}\)

\(\frac{0.5775*8}{5}\)

Simplify

\(\frac{4.62}{5}\)

Simplify

0.924

33,800,000 are total distinct six characters license plates possible such that the two letters must appear next to each other. We can solve it by using combination formula ( ⁿCr ) .

Total number of digits are 10 i.e., 0,1,2,3,4,5,6,7,8,9. We have given the option to select any four digits out of 10 with repetition. So, we use combination formula

ⁿ C r = n!/(r! ×(n-r)! )

For 1ˢᵗ digit, the number ways to choose the 1ˢᵗ digit is ¹⁰C ₁= 10

For 1ˢᵗ letter, the number of ways to choose the 1ˢᵗ letter is ²⁶C ₁= 26

There are 10×10×10×10 = 10⁴ ways to choose four digits . In a similar way, the total number of letters for choice is 26 ; i.e., from A to Z. We were given the task of choosing two letters from a list of 26 , which were not necessarily distinct .

There are 26×26 = 26²ways to choose the two letters . For the letters to be next to each other, they can be the 1ˢᵗ and 2ⁿᵈ, 2ⁿᵈand 3ʳᵈ, 3ʳᵈand 4ᵗʰ, 4ᵗʰand 5ᵗʰ, 5ᵗʰ and 6ᵗʰ characters . So, there are 6-1 = 5 are choices for the positions of the letters .

Therefore, numbers of distinct license plates is 5×10⁴× 26² = 33,800,000

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Answer:

Step-by-step explanation: 1. distribute

distribute the x into (3x-5) -> 3x*x=3x^2 and x*-5=-5x. you will get

3x^2-5x+3(3x-5)

now distribute the 3 into the other (3x-5) -> 3*3x=9x and 3*-5=-15. you will get

3x^2-5x+9x-15

2. Combine like terms

3x^2-5x+9x-15 can be simplified to 3x^2+4x-15 by combining -5x and 9x.

3. Factor (there are many strategies use the one easiest for you)

In this case no number can be taken out to simplify the equation so set up your answerer as (3x   ) (x  ). you can do this because your first term will have to be 3x^2 and the only multiples are 3 and 1.

By using your 3rd term (-15) you can get the possible numbers after the x's by its multiples 5*3 and 15*1

Using the middle term (4x) find what multiplies to -15 (only one number can be negative) and is able to add up to 4 while one number is multiplied by 3 because of the 3x ( -5*3=15 and 3*3-5 -> 9-5=4)

plug your numbers in (3x-5) (x+3)

feel free to ask any questions!

Answer:

(a) x = 40°

Step-by-step explanation:

(2x+43)°+(2x-3)°=180°

4x+40°=180°

x=40°

Research on aging uses a **longitudinal** design.

A longitudinal design is a research design in which the same participants are studied over time. This is in contrast to a **cross-sectional** design, in which different participants are studied at different times.

Because age cannot be manipulated as an independent variable, research on aging must use a longitudinal design. This allows researchers to track changes in participants' behavior, cognition, and other factors as they age.

Longitudinal studies can be expensive and time-consuming to conduct, but they can provide valuable insights into the aging process. For example, longitudinal studies have shown that cognitive decline is not inevitable with age, and that certain lifestyle factors, such as exercise and social engagement, can help to protect against cognitive decline.

Here are some examples of longitudinal studies on aging:

* The Baltimore Longitudinal Study of Aging, which has been following a group of adults for over 70 years.

* The Framingham Heart Study, which has been following a group of adults for over 70 years.

* The Study of Adult Development and Aging, which has been following a group of adults for over 80 years.

These studies have provided valuable insights into the aging process, and they continue to be an important source of information for researchers and policymakers.

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Answer:440.925

Step-by-step explanation:

Answer:

440.9 -> If you must round, then 441

Step-by-step explanation:

kg x 2.205 = lb
200 x 2.205 = 441


mark brainliest

Answer:

16 2/3 ounces per mile

Step-by-step explanation:

50 ounces of blueberries/3 miles = 16.666 repeated

16.666 repeated = 16 2/3 ounces/mile

The larger the variance, the more the data are spread out from the mean. This statement is true.

Variance is a statistical measure that quantifies how much the data values are spread out or dispersed from the mean (average) of the dataset. Specifically, it is the average of the squared differences between each data point and the mean.

A larger variance means that the data values are more spread out from the mean, because the squared differences between the data points and the mean are larger on average. This indicates that there is greater variability or diversity in the dataset, and the values are more widely distributed.

Conversely, a smaller variance means that the data values are closer together and closer to the mean. This indicates that there is less variability or diversity in the dataset, and the values are more tightly clustered around the mean.

So, in summary, a larger variance indicates that the data values are more spread out from the mean, while a smaller variance indicates that the data values are closer together and closer to the mean.

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ANSWER

Option D

EXPLANATION

Given:

Total number of investors = 998

Number of investors tracking daily stock = 235

Determine the probability

Answer:

To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

On a coordinate plane, a line goes through (negative 3, 3) and (negative 2, 1). A point is at (4, 1). The equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1) is y − 1 = negative one-half(x − 4).

We can start by finding the slope of the given line. We can use the slope formula that states that the slope (m) of the line passing through two points, (x_1, y_1) and (x_2, y_2), is given by:

m = y_2 - y_1 / x_2 - x_1

Now, let's find the slope of the line passing through the given points:

Slope (m) = (y_2 - y_1) / (x_2 - x_1) = (1 - 3) / (-2 - (-3)) = 2

The slope of the line is

2.Since the required line is parallel to the given line, it has the same slope.

Therefore, the slope of the required line is also

2. Now, we can use the point-slope form to find the equation of the line with slope 2 passing through the point (4, 1):y - y1 = m(x - x1)y - 1 = 2(x - 4)y - 1 = 2x - 8y = 2x - 7

We can rewrite this equation in point-slope form by moving 2x to the other side of the equation:

y - 1 = 2(x - 4)

Thus, the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1) is y − 1 = negative one-half(x − 4).

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The solution of the given system of equations is x = -0.3732, y = -0.5767, z = 0.1896.

In the question, the system of linear equations is:

-14x + 30y - 25z = 12

49x + 5y - 11z = -13

14x + 18y + 12z = -8

Writing the above equations in matrix form we get

AX=B

Where A is the coefficient matrix,X is the variable matrix, B is the constant matrix.

A = [ -14, 30, -25], [49, 5, -11], [14, 18, 12]

X = [x, y, z]B = [12, -13, -8]

In order to find the variable matrix, we need to find the inverse matrix of coefficient matrix A.

Now using any graphing calculator, we can find the inverse of matrix A.

A inverse= [ -0.0513, -0.1176, 0.1623], [0.1318, 0.0538, -0.0767], [0.0782, -0.0213, 0.0076]

Now using inverse matrix, we can find the value of X matrix.

X=A inverse B

X = [-0.3732, -0.5767, 0.1896]

Therefore, the solution of the given system of equations is x = -0.3732, y = -0.5767, z = 0.1896.

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Answer:

you type 75 words per minute.

Step-by-step explanation:

since there are 60 minutes in an hour, simply divide 4,500 by 60 to get 75. i hope this helps you! good luck and have a great day. :)

See attachment for math work and answer.

The coefficient matrix is singular (option a).

The system of equation is solved using the matrix inverse methods (option b).

In mathematics, a matrix is a rectangular array of numbers, and a system of linear equations can be written in matrix form as Ax = b, where A is the coefficient matrix, x is the variable matrix, and b is the constant matrix.

Matrix inverse methods involve finding the inverse of the coefficient matrix, A⁻¹, and then multiplying both sides of the equation by A⁻¹ to isolate x. However, this method can only be used if A is invertible or non-singular, meaning it has a unique solution.

Now, let's look at the system of equations you provided:

x₁ + 3x₂ - 2x₃ = -9 2x₁ + 4x₂ + x₃ = -6 x₁ + x₂ + 3x₃ = 3

To determine if matrix inverse methods can be used, we need to check if A is invertible. One way to do this is to calculate the determinant of A. If det(A) = 0, then A is singular and matrix inverse methods cannot be used.

Calculating the determinant of A, we get:

det(A) = | 1 3 -2 | | 2 4 1 | | 1 1 3 |

= 1(12-1) - 3(9+2) - 2(4-2) = -27

Since det(A) ≠ 0, A is invertible and matrix inverse methods could be used. However, this method is not recommended due to the complexity of finding the inverse matrix.

Hence the correct option is (b).

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Answer:

5 km per 1 hour.

Step-by-step explanation:

\(\frac{10km}{2hr}\)

simplify 10 /2 is 5 / 1

so, \(\frac{5km}{1hr}\) or you can just say 5 km per 1 hour.

Answer:

1.277s and 0.098s

Step-by-step explanation:

Given the height of the ball modelled by the equation

h(t) = -16t^2+22t+6, where;

t is the time in seconds

To calculate the time interval (in seconds) in which the height of the basketball is 8 feet, we will simply substitute h(t) = 8 into the expression and calculate t as shown;

8 = -16t^2+22t+6

Divide through by 2

4 = -8t^2+11t+3

-8t^2+11t+3-4 = 0

8t^2-11t+1 = 0

t = 11±√11²-4(8)/2(8)

t = 11±√121-32/16

t = 11±√89/16

t = 11±9.43/16

t = 11+9.43/16 and t = 11-9.43/16

t = 20.43/16 and t = 1.57/16

t = 1.277s and t = 0.098s

Hence the time interval to the nearest thousands are 1.277s and 0.098s

Answer:

27.15

Step-by-step explanation:

Let us name the vertices as shown below

A(- 1, 6)

B(5, 1)

C(- 4, - 3)

We would calculate the distance between each vertex by applying the formula for calculating distance between 2 points. It is expressed as

The perimeter of the triangle is the sum of the length of each side. Thus,

Perimeter = 7.81 + 9.85 + 9.49

Perimeter = The perimeter of the triangle is the sum of the length of each side. Thus,

Perimeter =   27.15



Answer:

1. 795, 23

2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins

3. $276, 71 cars

Step-by-step explanation:

1. your equation: y = 35x + 235

plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235

you get y = 795

for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x

your equation: 1024 = 35x + 235

solve to get x = 22.54

this rounds up to 23, so your answer is 23

2. multiply 8 times 4 to get 32

subtract 32 from 82 to fin how many she has left

you get 50

for the second part, divide 82 by 4 to find how many day it will take to finish her candy

you get 20.5

so no, she will not have candy to share with her cousins, and she will finish her candy on November 21

3. for this, you have a negative y intercept since you need to make $24 to start profiting

your equation: y = 6x - 24

plug in 50 to x: y = 6(50) - 24

you get y = 276

so you make $276 with 50 cars

for the second part, plug in 400 to y: 400 = 6x - 24

solve to get x = 70.66

this rounds up to 71, so your answer is 71

That the constant of integration C cancels out when we evaluate the definite integral, so we do not need to include it in the final answer.

We can evaluate the definite integral using the power rule of integration, which states that

∫ \(x^n dx = (x^(n+1))/(n+1) + C\)

where C is the constant of integration.

So, for the given definite integral, we have:

∫ \((1/(5^(50)x^3)) dx\)

\(= (-1/2) * (1/(5^(50))) * (1/x^2) + C\)

Evaluating this from x = 1 to x = 1/5, we get:

\(= (-1/2) * (1/(5^(50))) * (1/(1/5)^2) - (-1/2) * (1/(5^(50))) * (1/1^2)\)

\(= (-1/2) * (5^2) * (5^(50)) + (1/2) * (5^(50))\)

\(= - (1/2) * (5^(52)) + (1/2) * (5^(50))\)

\(= (1/2) * (5^(50)) * (1 - 5^2)\)

\(= (1/2) * (5^(50)) * (-24)\)

\(= -12 * (5^(50))\)

So, the value of the definite integral is \(-12 * (5^(50))\). Note that the constant of integration C cancels out when we evaluate the definite integral, so we do not need to include it in the final answer.

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Answer:

Step-by-step explanation:

Pythagorean Theorem: a2 + b2 = c2

√(6² - 2²)=

√(36 - 4) =

√32

Answer:

A number line with a closed circle on 25, with shading to the right.

Explanation:

A closed circle means "greater than or equal to" or "less than or equal to".

A open circle means "less than" or "greater than"

Therefore, since the question says: "who are at least 25 years old", a closed circle is the correct answer.

And says it says "at least 25 years old" it means that it shaded to the right, and that the circle is on the number 25.

Answer:

A number line with a closed circle on 25, with shading to the right.

Step-by-step explanation:

...

Based on the information provided, the suggested interval (0 < x < 2) could potentially be an interval during which the water balloon's height is increasing.

In general, if the height of the water balloon is increasing, it means that as time progresses, the height of the balloon is getting larger. This corresponds to a positive rate of change of the height with respect to time.

If we have a function that describes the height of the water balloon over time, we can calculate the derivative of that function with respect to time. If the derivative is positive within the interval (0 < x < 2), it means that the height is increasing during that interval.

However, without the specific function or more information, it is not possible to determine with certainty whether the water balloon's height is increasing within the given interval.

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(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Answer:

No

Step-by-step explanation:

A perfect cube is a number you get when multiple a number by itself three times.

For example 27 which 3x3x3

Or 126 which 5x5x5

When place 2500 in a calculator and divide it the 3 powered, you don't get a whole number too. so no for 2500

Step by step simplification process to get cube roots radical form and derivative:First we will find all factors under the cube root: 2500 has the cube factor of 125.Let's check this with ∛125*20=∛2500. As you can see the radicals are not in their simplest form.Now extract and take out the cube root ∛125 * ∛20. Cube of ∛125=5 which results into 5∛20All radicals are now simplified. The radicand no longer has any cube factors.

The cubed root of two thousand, five hundred ∛2500 = 13.572088082975

If I'm wrong I'm sorry.

Answer:

the correct answer is 21 CM

Step-by-step explanation:

Ratio 8:3 Joeys rope is 56cm 8x7= 56 so 3x7= 21 so Chad rope is 21cm.

0101 belongs to the set {0}{1}-{0}" but does not belong to the set (0}{11}-{01).

To determine whether 0101 belongs to each of the given sets:

a. {0}{1}-{0}" - This set contains strings that start and end with "0" and have a "1" in between. The notation "{0}{1}-{0}" suggests that the set consists of strings of the form 0x1y0, where x and y can be any combination of "0" and "1". Since 0101 matches this pattern, it belongs to this set.

b. (0}{11}-{01) - This set contains strings that start with "0", followed by "11", and do not contain "01" as a substring. The notation "(0}{11}-{01)" indicates that the set consists of strings of the form 0x11y, where x and y can be any combination of "0" and "1". Since 0101 does not match this pattern (it does not contain "11" as a substring), it does not belong to this set.

In summary, 0101 belongs to the set {0}{1}-{0}" but does not belong to the set (0}{11}-{01).

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