What is the sum of -4r +1 and 6x - 5 ?

Answer:

LOLL

Step-by-step explanation:

Answer: 0

Step-by-step explanation: 13 - 13 = 0

Answer:

k=4

Step-by-step explanation:

Subtract four from both sides then you simplify once you simplify you get 12 then you ivide both of those from 12!

Sorry if it makes no sense I am not very good at explaining math. But good luck and have a wonderful day! <33

Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

Given:

The expressions are:

\(\sqrt[3]{24},\sqrt{48},\sqrt[3]{54},\sqrt{45}\)

To find:

The simplified form of each expression.

Solution:

We have,

\(\sqrt[3]{24}\)

It can be written as:

\(\sqrt[3]{24}=\sqrt[3]{2\times 2\times 2\times 3}\)

\(\sqrt[3]{24}=2\sqrt[3]{3}\)

Similarly,

\(\sqrt{48}=\sqrt{2\times 2\times 2\times 2\times 3}\)

\(\sqrt{48}=(2\times 2)\sqrt{3}\)

\(\sqrt{48}=4\sqrt{3}\)

And,

\(\sqrt[3]{54}=\sqrt[3]{2\times 3\times 3\times 3}\)

\(\sqrt[3]{54}=3\sqrt[3]{2}\)

In the same way,

\(\sqrt{45}=\sqrt{3\times 3\times 5}\)

\(\sqrt{45}=3\sqrt{5}\)

Therefore, the required pairs are:

\(\sqrt[3]{24}\to 2\sqrt[3]{3}\)

\(\sqrt{48}\to 4\sqrt{3}\)

\(\sqrt[3]{54}\to 3\sqrt[3]{2}\)

\(\sqrt{45}\to 3\sqrt{5}\)

The distance AB is 2. 83

The distance between AB can be determined using;

d=

\( \sqrt{ {(x2 - x1)}^{2} } + ( {y2 - y1)}^{2} \)

Where:

AB =

\( \sqrt{( { - 2 - 0}^{2} ) + ( {1 - - 1)}^{2} } \)

Find the difference

AB =

\( \sqrt{ { (- 2}^{2}) + ( {2}^{2} ) } \)

Find the square

AB =

\( \sqrt{4 + 4} \)

AB =

\( \sqrt{8} \)

Find the square root

AB = 2. 828

AB = 2. 83

Thus, the distance AB is 2. 83

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Answer:

119.666

Step-by-step explanation:

3 goes into 359 119.666 times.

The ratio between the hour hand and the second hand in a clock is 1:120.

1.1 A clock's ratio between the hour and minute hands can be calculated by looking at how both hands move over a certain amount of time.

In a 12-hour simple clock, the hour hand finishes a full upset (360 degrees) in 12 hours, while the moment hand finishes a full upheaval in an hour. We must compare the angular displacement covered by each hand over the same time period in order to calculate the ratio between the hour and minute hands.

Let's say that after "t" minutes, we want to figure out the ratio.

In 12 hours, the hour hand rotates 360 degrees, or 720 minutes (12 hours x 60 minutes/hour). The hour hand's angular displacement after "t" minutes can therefore be calculated as follows:

Hour hand angular displacement = (360 degrees divided by 720 minutes) x t In a similar fashion, the minute hand rotates 360 degrees every 60 minutes. As a result, the following formula can be used to determine the minute hand's angular displacement after "t" minutes:

Minute hand angular displacement = (360 degrees divided by 60 minutes) x t To determine the ratio, divide the hour hand's angular displacement by the minute hand's angular displacement:

The final formula is: Ratio = (Angular displacement of hour hand) / (Angular displacement of minute hand). By incorporating the respective equations,

The hour hand in a clock is 1:1 because the ratio is equal to ((360 degrees / 720 minutes) x t) / (360 degrees / 60 minutes) x t) = (360 / 720) / (360 / 60) = 1/2.

1.2 A clock's minute hand and second hand's ratio can be determined by taking into account how they move over a given amount of time.

Explanation:

In a clock, the second-hand goes through a full revolution in 60 seconds, while the minute hand goes through a full revolution (360 degrees) in 60 minutes. We must compare their angular displacements over the same time period in order to calculate the ratio between the minute and second hands.

Let's say that after "t" seconds, we want to figure out the ratio.

60 minutes divided by 60 seconds per minute sees the minute hand rotate 360 degrees or 3600 seconds. Therefore, the following formula can be used to determine the minute hand's angular displacement after "t" seconds:

The second hand rotates 360 degrees in 60 seconds, so the minute hand's angular displacement is equal to (360 degrees divided by 3600 seconds) x t. As a result, the following formula can be used to determine the second hand's angular displacement after "t" seconds:

Second hand angular displacement = (360 degrees divided by 60 seconds) x t To determine the ratio, divide the second hand angular displacement by the minute hand:

The final formula is: Ratio = (Angular displacement of minute hand) / (Angular displacement of second hand). By incorporating the respective equations,

((360 degrees / 3600 seconds) x t) / ((360 degrees / 60 seconds) x t) = (360 / 3600) / (360 / 60) = 1/10; consequently, the clock's minute hand to second hand ratio is 1:10.

1.3 A clock's hour hand and second hand's ratio can be determined by taking into account how they move over a given amount of time.

Explanation:

In a clock, the hour hand completes a 360-degree revolution in 12 hours, while the second hand takes 60 seconds to do the same. We must compare their angular displacements over the same time period in order to calculate the ratio between the hour hand and the second hand.

Let's say that after "t" seconds, we want to figure out the ratio.

In 12 hours, the hour hand rotates 360 degrees, or 43,200 seconds (12 hours x 60 minutes/hour x 60 seconds/minute). As a result, the hour hand's angular displacement after "t" seconds can be calculated as follows:

The hour hand's angular displacement is equal to (360 degrees divided by 43,200 seconds) x t. The second hand also rotates 360 degrees in 60 seconds. As a result, the following formula can be used to determine the second hand's angular displacement after "t" seconds:

Second hand angular displacement = (360 degrees divided by 60 seconds) x t To determine the ratio, divide the hour hand's angular displacement by the second hand's angular displacement:

The final formula is: Ratio = (Angular displacement of hour hand) / (Angular displacement of second hand). By incorporating the respective equations,

The hour hand in a clock is 1:120 because the ratio is equal to ((360 degrees / 43,200 seconds) x t) / (360 degrees / 60 seconds) x t) = (360 / 43,200) / (360 / 60) = 1/120.

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Answer:

The 3 feet fabric will cost $ 1.09728 almost $ 1.10

Step-by-step explanation:

First we will find out how many meters 3 feet will be.

1 feet = 0.3048 meters

She needs 3 feet of fabric

3 *1 feet = 3* 0.3048  ( multiplying both sides by 3)

3 feet = 0.9144 meters

Using the unitary method we will find the cost of 3 feet of fabric

1 meter costs $ 1.20

0.9144 *1 meter costs $ 1.20 * 0.9144  ( multiplying both sides by 0.9144)

0.9144  meter = $ 1.09728

The 3 feet fabric will cost $ 1.09728 almost $ 1.10

Answer: 1.10

Step-by-step explanation: I did the test on FLVS, and got the answer right

Kari can buy 30 AA batteries and 30 D batteries. We used simple LCM for this solution.

To find the smallest number of each battery type that Kari can buy, we must find the least common multiple (LCM) of 6 and 10. The LCM is the smallest multiple that both numbers can divide into evenly. To find the LCM, we can list the multiples of each number until we find a common multiple. In this case, the LCM of 6 and 10 is 30. So, Kari can buy 30 AA batteries and 30 D batteries, which gives her an equal number of both battery types.

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Answer:

3

Step-by-step explanation:

3.5*4.5=15.75 ft^2

15.75/5.25=3 bags

Answer:

39

Step-by-step explanation:

Let one angle be x

Then,

Its complementary angle will be =(90-x)

ATQ,

x-(90-x)=12

x-90+x=12

x+x=12+90

2x=102

x=102/2

x=51

Thus,

x=51

(90-x)=(90-51)=39

Hope it helped u if yes mark me BRAINLIEST.. Plz!

Tysm!

Answer:

c

Step-by-step explanation:

i just had that question

The indefinite integral are:

(1/9) \((3x^2 + 7)^{(3/2)\) + C

(1/10) (2x² + 1\()^{(5/2)\) + C

∫[x√(3x^2 + 7)] dx

To solve this integral, we can use the substitution method.

Let u = 3x^2 + 7

Then du = 6x dx

And dx = du / (6x)

Substituting these values into the integral:

∫[x√(3x² + 7)] dx = ∫[(x)(√u)(du / (6x))]

= (1/6) ∫[√u] du

= (1/6)  (2/3) \(u^{(3/2)\)+ C

= (1/9) \(u^{(3/2)\) + C

= (1/9) \((3x^2 + 7)^{(3/2)\) + C

To check the result, we can differentiate this expression and see if it matches the original integrand:

d/dx [(1/9)  \((3x^2 + 7)^{(3/2)\)]

= (1/9)  (3/2)  . 2x . \((3x^2 + 7)^{(1/2)\)

= (1/3)x \((3x^2 + 7)^{(1/2)\)

We can see that the derivative matches the original integrand, so the result is correct.

2. ∫[x³√(2x² + 1)] dx

We can use a similar approach as in the previous problem:

Let u = 2x² + 1

Then du = 4x dx

And dx = du / (4x)

Substituting these values into the integral:

∫[x³√(2x² + 1)] dx = ∫[(x³)(√u)(du / (4x))]

= (1/4) ∫[x²√u] du

= (1/4) (2/5)  \(u^{(5/2)\) + C

= (1/10) \(u^{(5/2)\)+ C

= (1/10) (2x² + 1\()^{(5/2)\) + C

To check the result, we can differentiate this expression and see if it matches the original integrand:

d/dx [(1/10) (2x² + 1\()^{(5/2)\)]

= (1/10) (5/2) . 2x . (2x² + 1\()^{(3/2)\)

= (1/5) x (2x² + 1\()^{3/2\)

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Answer: 20 eggs

Step-by-step explanation:

The rate is 5. 25/5=5.

4*5=20

Hope this helps!

Answer:

The answer of your question is 20 eggs

Answer:

−3430000

Step-by-step explanation:

Mark as brainllest

The original statement is: Q → R. The inverse of the statement is: ~Q → ~R. The converse of the statement is: R → Q. The contrapositive of the statement is: ~R → ~Q.

Original statement: Q → R

This means that if Q is true, then R must also be true.

It implies that Q is a sufficient condition for R.

Inverse: ~Q → ~R

The inverse of the original statement negates both Q and R.

It states that if Q is not true, then R is not true.

It flips the truth values of both Q and R.

Converse: R → Q

The converse of the original statement swaps the positions of Q and R.

It states that if R is true, then Q must also be true.

It does not necessarily mean that Q is a sufficient condition for R.

Contrapositive: ~R → ~Q

The contrapositive of the original statement negates both Q and R and swaps their positions.

It states that if R is not true, then Q is not true.

It maintains the same logical relationship as the original statement, making it logically equivalent.

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Answer:

12

Step-by-step explanation:

16/4=4

4*3=12

Hope this helps!

In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.

In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.

Here,

To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.

For example:

f(0) = 4(0) - 6 = -6

f(1) = 4(1) - 6 = -2

f(2) = 4(2) - 6 = 2

f(-1) = 4(-1) - 6 = -10

f(3a) = 4(3a) - 6 = 12a - 6

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The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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Answer:

1. no

2. yes

Step-by-step explanation:

Answer:

b，c，f

Step-by-step explanation:

a is -8

b 8

c 8

d -8

e 1-

f 8

g -8

h -8

For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also equal. Therefore, their corresponding angles would also be congruent.

For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.

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Answer:

as shown on the screen shot

Twice a number (2x) increased by 4 is at least 10 more than the number (x) 2x + 4 ≥ x + 102x - x ≥ 10 - 42x ≥ 6x ≥ 3, Thus, the solution is x ≥ 3

Problem Twice a number increased by 4 is at least 10 more than the number

Solution: Let's define a variable x.

Let the number be x

According to the problem statement,

Twice a number (2x) increased by 4 is at least 10 more than the number (x) 2x + 4 ≥ x + 102x - x ≥ 10 - 42x ≥ 6x ≥ 3

Thus, the solution is x ≥ 3

Let's check whether our solution is correct or not.

Taking x = 3 in the inequality 2x + 4 ≥ x + 102(3) + 4 ≥ (3) + 104 + 6 ≥ 106 ≥ 10

Yes, the inequality holds true.

Therefore, our solution is correct.

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(g) and Theorem 5 are not equivalent.

Are (g) and Theorem 5 equivalent?

You are correct. Statement (g) in Theorem 8, which states that the equation Ax = b has at least one solution for each b in R", includes both the case of a unique solution and the case of infinitely many solutions.

Therefore, (g) is not equivalent to Theorem 5, which specifically states that the equation Ax = b has a unique solution x = A^(-1)b when A is an invertible matrix. The equivalence mentioned in the text seems to be an error or a misinterpretation.

The correct interpretation is that Theorem 5 implies statement (g) in Theorem 8, but the converse is not necessarily true.

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The measure of angle are:

m∠1 = 35°; m∠2= 125°; m∠3= 55°; m∠4 =125° ; m∠5 =55°.

What are similar triangles?

Similar triangles are triangles that have the same shape but differ in size. Similar objects include all equilateral triangles and squares with any side length. In other words, if two triangles are similar, their corresponding angles and sides are congruent and in equal proportion.

The △ABC is a right triangle.

Given that, 2AE = AC, 2CD = BD

AE/AC = 1/2; CD/BD = 1/2

∠ACD = ∠ECD = right angle

According to SAS rule, △ABC ≅ △ECD.

Thus the corresponding angles of △ABC and △ECD are congruent.

∠A = ∠E; ∠B = ∠D; ∠C = ∠C

Consider  △ABC:

∠A = 35°, ∠C =90°

The sum of all interior angles of a triangle is 180°.

∠A + ∠B + ∠C = 180°

35° +  ∠B + 90° = 180°

∠B + 125° = 180°

∠B  = 180° -  125°

∠B  = 55°

Therefore ∠1 = 55°; ∠5 = 55°; ∠3 = 55°.

The sum of the exterior angle and corresponding to the interior angle is 180°.

∠1  + ∠2 = 180°

55° + ∠2 = 180°

∠2 = 125°

Again:

∠5  + ∠4 = 180°

55° + ∠4 = 180°

∠4 = 125°

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It is true that the indexed variables (members) of an array must be integers.

The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.

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The probability that at least one of the pets selected is a puppy is approximately 0.7887 or 78.87%.

To calculate the probability that at least one of the pets is a puppy, we can find the probability of the complement event (none of the pets being a puppy) and subtract it from 1.

The total number of pets in the store is 6 puppies + 9 kittens + 4 lizards + 5 snakes = 24.

The probability of selecting a pet that is not a puppy on the first selection is (24 - 6) / 24 = 18 / 24 = 3 / 4.

Similarly, on the second selection, the probability of selecting a pet that is not a puppy is (24 - 6 - 1) / (24 - 1) = 17 / 23.

For the third selection, it is (24 - 6 - 1 - 1) / (24 - 1 - 1) = 16 / 22.

For the fourth selection, it is (24 - 6 - 1 - 1 - 1) / (24 - 1 - 1 - 1) = 15 / 21.

For the fifth selection, it is (24 - 6 - 1 - 1 - 1 - 1) / (24 - 1 - 1 - 1 - 1) = 14 / 20 = 7 / 10.

To find the probability that none of the pets is a puppy, we multiply the probabilities of not selecting a puppy on each selection:

(3/4) * (17/23) * (16/22) * (15/21) * (7/10) = 20460 / 96840 = 0.2113 (approximately).

Finally, to find the probability that at least one of the pets is a puppy, we subtract the probability of the complement event from 1:

1 - 0.2113 = 0.7887 (approximately).

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Step-by-step explanation:

Use the formula for the volume of a cylinder

volume = pi r^2 h       diameter = 15 ft so  r, radius = 7.5 feet   h = 25 ft

volume = pi * ( 7.5)^2 * 25  = 4417.86 ft^3