Vector u has a magnitude of 5 units, and vector v has a magnitude of 4 units. Which of these values are possible for the magnitude of u + v? Select all correct answers.


1 unit

9 units

11 units

13 units

Answers

Answer 1

Step-by-step answer:

The maximum and minimum values are the positive sum and difference of the two magnitudes.  The magnitude of u+v can range between these two limits, namely 5+4=9, and 5-4=1.

Therefore among the given choices, the possible values of u+v are 1 unit and 9 units.  11 and 13 are greater than the maximum so do not apply.

Answer 2

Answer:

1 unit

9 units

Step-by-step explanation:

PLATO


Related Questions

Mr green makes some compost he mixes soil, manure and leaf mould in the ratio 3:1:2 mr greenmakes 72 literes of the compost. How many litres of soil does he use?

Answers

Answer:

[tex]36\ liters\ of\ soil[/tex]

Step-by-step explanation:

we know that

The ratio of soil, manure and leaf mould is [tex]3:1:2[/tex]

That means

For every 6 liters of the compost, he use 3 liters of soil

so by proportion

Find how many liters of soil does he use for 72 liters of compost

[tex]\frac{3}{6}=\frac{x}{72}\\ \\x=3*72/6\\ \\x=36\ liters\ of\ soil[/tex]

What statement BEST explains the relationship between numbers divisible by 5 and 10 A) a number that is divisible by 10 is also factors of 5.B) some of the numbers that are divisible by 10 are also divisible by 5.C) numbers that is divisible by 10 are never divisble by 5.D) a number that is divisible by 10 is also divisible by 5 because 5 is a factor of 10.

Answers

Answer:

D

Step-by-step explanation:

The best answer is D.

A number that is divisible by 10 is also divisible by 5 because 5 is a factor of 10.

Final answer:

The correct statement is that a number divisible by 10 is also divisible by 5 because 5 is a factor of 10. Any number ending in 0 can be divided by both 10 and 5 to yield whole numbers, confirming this relationship. So, option D is correct.

Explanation:

The statement that BEST explains the relationship between numbers divisible by 5 and 10 is 'a number that is divisible by 10 is also divisible by 5 because 5 is a factor of 10'. This is because any number that ends with a 0 is divisible by 10, and since 10 is made up of 2 and 5, that same number must also be divisible by 5. For example, take the number 30; it ends in a 0, so it is divisible by 10. When you divide 30 by 10, you get 3, which shows that 10 is a factor of 30. Now, if you take 30 and divide it by 5, you also get a whole number, which is 6 in this case. This further confirms that any number divisible by 10 will also be divisible by 5.

what are the steps to solving this equation?

35 + 3x – 11 = 23

Answers

The first step is to combine like terms, 35 and 11 are both integers without variables, so we can combine.

24+3x= 23

Now we subtract 24 from 23 to isolate 3x, and we get -1.

3x=-1

To solve we just need to divide -1 by 3.

Answer: -1/3

The value of x after solving the equation will be equal to -1/3

What is an equation?

The expression is defined as the relationship between the numbers and variables and are arranged in the form of an equation.

The first step is to combine like terms, 35 and 11 are both integers without variables, so we can combine.

24+3x= 23

Now we subtract 24 from 23 to isolate 3x, and we get -1.

3x=-1

To solve we just need to divide -1 by 3.

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PLEASE HELP!!! Which equation is relevant to 4^x^+^3=64

Answers

I believe it’s the second option 2^2x+6=2^6

Answer:

[tex]\large\boxed{2^{2x+6}=2^6}[/tex]

Step-by-step explanation:

[tex]4^{x+3}=64\\\\4^{x+3}=4^3\\\\(2^2)^{x+3}=(2^2)^3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(x+3)}=2^{(2)(3)}\\\\2^{2x+6}=2^6[/tex]

A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 m/sec, while the cat can run at a speed of 24 m/sec. How soon will the dog catch the cat if the dog starts running after the cat?

Answers

Answer:

33.33

Step-by-step explanation:

Parking Lot A has twice as many cars as Parking Lot B. After 10 cars draw away from Parking lot A, and 13 cars moved from parking lot A to Parking lot B, Parking lots have the same amount of cars. How many cars were there in each Parking Lot?

PLEASE HELP ASAP

Answers

Answer:

a=72 and b=36

Step-by-step explanation:

A=2B

A-10-13=B+13

Answer:

Number of cars in Parking lot A = 72 and in Parking Lot B = 36

Step-by-step explanation:

Let the number of cars in parking A is = A and in parking B is = B

Now we will make the equations

" Parking lot A has twice as many cars as Parking lot B"

A = 2B  ------(1)

"After 10 cars draw away form parking lot A, and 13 cars moved from parking lot A to parking lot B then both the lots have same amount of cars."

A - 10 - 13 = B + 13

A - 23 = B +13

A = B + 13 + 23

A = B + 36 ------(2)

Now we equate the values of A in both the equations

2B = B + 36

2B - B = 36

B = 36

From equation 1

A = 2B

A = 2×(36) = 72 cars

Therefore, number of cars in Parking lot A = 72 and in Parking Lot B = 36

What is the volume of the cylinder below?

Answers

For this case we have that the volume of the cylinder is given by:

[tex]V = \pi * r ^ 2 * h[/tex]

Where:

h: It is the height of the cylinder

A: It is the radius of the cylinder

We have to, according to the given data:

[tex]h = 7\\r = 6[/tex]

Substituting:

[tex]V = \pi * (6) ^ 2 * 7\\V = \pi * 36 * 7\\V = 252 \pi[/tex]

ANswer:

Option A

[tex]252 \pi \ units ^ 3[/tex]

the answer is 252π option A

What is the solution to the system of equations that contains −3x + y = 3 and 2x − y = −1? no solution (−1, 3) infinite number of solutions (−2, −3)

Answers

Answer:

A) −3x + y = 3

B) 2x − y = −1  Adding both equations:

-x = 2

x = -2  y = -3

Step-by-step explanation:

Answer:

D). (-2, -3)

x = -2  y = -3

Step-by-step explanation:

Problem Page A principal of $2100 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 12 years?

Answers

Answer:

After 12 years the investment will be worth $5145.

Step-by-step explanation:

The formula used for compounded interest is:

A = P(1+r/n)^nt

where,

A = future value

P = Principal Amount

r = interest rate

n = no of times interest is compounded

t = time

In the question given:

A=?

P = $2100

r = 7.75% or 0.0775

n = 1

t= 12

A= 2100*(1+0.0775/1)^1*12

A= 2100 *(1+0.0775)^12

A= 2100 *(1.0775)^12

A= 2100 * 2.45

A= 5145

So, after 12 years the investment will be worth $5145.

1. Find f(x) if it is known that f(x+5)=x+12.

2. Find f(x) if it is known that f(x−5)=1.2x−6.

Answers

Answer:

1. f(x)=x+7

2. f(x)=1.2x

Step-by-step explanation:

1. If f(x+5)=x+12, then substitute

[tex]t=x+5\Rightarrow x=t-5[/tex]

Hence,

[tex]f(t)=(t-5)+12\\ \\f(t)=t+7[/tex]

Now change t into x:

[tex]f(x)=x+7[/tex]

2. If f(x-5)=1.2x-6, then substitute

[tex]t=x-5\Rightarrow x=t+5[/tex]

Hence,

[tex]f(t)=1.2(t+5)-6\\ \\f(t)=1.2t+6-6\\ \\f(t)=1.2t[/tex]

Now change t into x:

[tex]f(x)=1.2x[/tex]

Identify the cross section of the solid shown in the diagram.
A.
hexagon
B.
pentagon
C.
octagon
D.
tetrahedron

Answers

The cross section is A. Hexagon, a 6-sided figure.

Answer:

Hexagon

Step-by-step explanation:

A polygon are plane figure with more than 3sides e.g Pentagon , hexagon, heptagon etc.

Based on the diagram the cross section of the solid contains a six sided plane figure known as a hexagon.

An hexagon is a polygon with six equal sides and angles.

Polonium-210 is a radioactive substance with a half life of 138 days. If a nuclear facility is handling 265 grams of polonium-210, then how many grams of polonium-210 will be left after 250 days.

Answers

The half life is 138 days, meaning exactly half of the material will decay after this time. Use this information to find the decay factor [tex]k[/tex]:

[tex]\dfrac12=e^{138k}\implies k=-\dfrac{\ln2}{138}[/tex]

Then after 250 days, there will be

[tex]265e^{250k}\approx75.492[/tex]

grams left.

Answer:

[tex]\boxed{\text{75.5 g}}[/tex]

Step-by-step explanation:

The amount of substance decreases by 50 % every half-life.

Thus, 50 % of the substance remains at the end of each half-life.

The exponential function is

[tex]a = a_{0}\left( \dfrac{1}{2}\right)^{x}[/tex]

where x = the number of half-lives.

Data:

a₀ = 265 g

[tex]t_{\frac{1}{2}} = \text{138 da}[/tex]

t = 250 da

Calculations:

(a) Calculate x

[tex]x = \dfrac{250}{138} \approx 1.812[/tex]

(b) Calculate a

[tex]a = 265\left( \dfrac{1}{2}\right)^{1.812}\\\\a = 265 \times 0.2849 = \boxed{\textbf{75.5 g}}[/tex]


5 . 3n

A. 15,30,45,60
B.5,15,45,135
C.0,15,45,135
D.15,45,135,405

Answers

Answer:

3n

Step-by-step explanation:

Help me please !!!!!!!

Answers

Answer:

x = 13.7

Step-by-step explanation:

Sin = Opp./Hypo.

so

Sin (17) = x / 47

x = sin (17) * 47

x = 0.2924 * 47

x = 13.7

The probability that a person at a show has seen the band play live before is 60%. A "superfan" is defined as someone who has seen the band play live at least 5 times. The probability that a person at a show is a "superfan" is 20%. Two people are selected at random. What is the probability that both of them have both seen the band perform live before, and are "superfans?"

Answers

Answer:

pretty sure the answer is 35%

Step-by-step explanation:

because thats what i got on my quiz and it was right

There are 3 times as many females as males on the maths course at university. What fraction of the course are female? Give your answer in its simplest form.

Answers

Final answer:

There are 3 times as many females as males in a maths course, giving a ratio of 3:1. The fraction of the course that is female is therefore 3/(3+1), simplifying to 3/4.

Explanation:

If there are three times as many females as males in the course, this implies a ratio of females to males of 3:1, which means for every 3 females, there's one male. However, we're interested in the fraction of the course that is female, so we're looking at the fraction of total participants (females + males) that are female.

To get this, we add females and males together to get the total number of participants. There are 3 'parts' females and 1 'part' males, for a total of 4 parts. Each 'part' represents a group of students, so the total number of students is divided into 4 equal parts.

The fraction of the maths course that are females is therefore the number of parts that are female (3) over the total number of parts (4). So the fraction is 3/4.

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What is the area of the trapezoid? Leave the answer in simplest radical form. The figure is not drawn to scale.

Answers

Answer:

  • 72 ft²

Step-by-step explanation:

The bottom side length of the triangle is the difference between the top base length and the bottom base length:

  13 ft - 5 ft = 8 ft

The vertical side length of the triangle is the same, because the triangle is an isosceles right triangle.

Since we know the base lengths and height of the trapezoid, we can use the usual formula for the area:

  A = (1/2)(b1 +b2)h

  = (1/2)(5 ft + 13 ft)(8 ft) = 72 ft²

At a seaport, the depth of the water, h metres, at time t hours, during a certain day is given by h=2.5 sin ⁡2π (t−4) /12.4 + 6.2


What is the minimum depth of the water?

9.2 m

5.2 m

8.7 m

7.7 m

Answers

Answer:

5.2 m

Step-by-step explanation:

5.2 m

Final answer:

To find the minimum depth of the water, we look at the minimum of the function h, given by the equation h = 2.5 sin 2π (t−4) /12.4 + 6.2. The minimum depth is -2.5 + 6.2 = 3.7m, but this option is not provided.

Explanation:

In this mathematics problem, we are given a sinusoidal function representing the depth of water, h, at a seaport over time, t. The equation is h = 2.5 sin 2π (t−4) /12.4 + 6.2.

To find the minimum depth of the water, we need to focus on the properties of the sine function, which varies from -1 to 1. Therefore, the minimum value of 2.5 * sin(2π(t−4)/12.4) is -2.5 when sin(x) = -1.

By adding 6.2 to the minimum value of the function (-2.5), we obtain -2.5 + 6.2 = 3.7, which is the minimum value of h. However, this option is not provided in the choices. There seems to be a mistake in the given problem or its options.

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The dolphins at the sea aquarium are fed 2 1/3 buckets of fish each day. The walruses are fed 5 times as much fish as the dolphins. How many buckets of fish are the walruses fed each day?

Answers

The total number of buckets of fish walruses were fed each day is

A = 35/3 buckets or 11 2/3 buckets

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of buckets of fish walruses were fed each day be = A

Now , the equation will be

The number of buckets of fish dolphins were fed each day = 2 1/3 buckets

The value 2 1/3 = 7/3 buckets

And ,

The number of buckets of fish walruses were fed each day = 5 x number of buckets of fish dolphins were fed each day

Substituting the values in the equation , we get

The number of buckets of fish walruses were fed each day = 5 x 7/3

The number of buckets of fish walruses were fed each day = 35/3 buckets

Number of buckets of fish walruses were fed each day = 11 2/3 buckets

Therefore , the value of A is 11 2/3 buckets

Hence , The total number of buckets of fish walruses were fed each day is

A = 35/3 buckets or 11 2/3 buckets

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Final answer:

To determine how much fish the walruses are fed, multiply the 2 1/3 buckets of fish fed to dolphins by 5. The calculation gives us an answer of 11 2/3 buckets of fish fed to walruses each day.

Explanation:

The dolphins at the sea aquarium are fed 2 1/3 buckets of fish each day. To find out how much the walruses are fed, we have to multiply the quantity of fish fed to dolphins by 5, since walruses are fed 5 times as much.

First, convert 2 1/3 to an improper fraction: 2 1/3 = 7/3.
Now, multiply 7/3 by 5 to get the walruses' daily fish intake in buckets.
7/3 × 5 = 35/3.

35/3 is an improper fraction, and when converted to a mixed number, it equals 11 2/3 buckets of fish per day.

Hence, the walruses at the sea aquarium are fed 11 2/3 buckets of fish each day.

If a cylinder has a height of 7 inches and a volume of 2908.33 in^3 find the radius

Answers

Answer:

The radius of the cylinder is [tex]11.5\ in[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]V=2,908.33\ in^{3}[/tex]

[tex]h=7\ in[/tex]

assume

[tex]\pi=3.14[/tex]

substitute the values and solve for r

[tex]2,908.33=(3.14)r^{2}(7)[/tex]

[tex]r^{2}=2,908.33/[(3.14)(7)][/tex]

[tex]r=11.5\ in[/tex]

SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!

Answers

Answer:

a= -2

b= 3

Step-by-step explanation:

solving for a:

-6 times what equals 12?

-2

solving for b:

when multiplying two variables that have exponents you simply add the two exponents together. so to find b you want to subtract 2 from 5

heeeeeeeeeeeeeeeellllllllpppppppp

Answers

Answer:

Answer (a):

distance traveled per revolution = 1.5 feet

Answer (b):

slope = 1.5 feet per revolution

Step-by-step explanation:

We have been given a graph which shows number of revolutions v/s distance traveled in feet.

Answer (a):

Now we need to find about how far does Miguel travel per revolution. That means find distance traveled in 1 revolution.

From graph we see that 10 revolution corresponds to 15 feet.

then 1 revolution = 15/10 = 1.5 feet

hence final answer is 1.5 feet.

Answer (b):

slope means [change in y-value] / [change in x-value]

From graph we see that 10 revolution corresponds to 15 feet.

then slope = 15/10 = 1.5 feet per revolution

Answer a is 1.5 and so is b

If M ABC = 30 and m CBD =20 then m ABD =

Please HELP

Answers

Answer:

30 + 20 = 50

Step-by-step explanation:

I think the answer would be 50? Wouldn’t it

Pepper jackie has 5.8 kg of rainbow sprinkles.If she divides them equally into 8 star containers, how much will be in each star?

Answers

Answer:

Step-by-step explanation:

Divide 5.8/8

A= square of 3. B=2 to the square root of 3. C= square root of 25. D= square root of 16. Which expressions result in a rational number? Select all that apply.

Answers

Answer:

square root of 25 and square root of 16

Step-by-step explanation:

Which situation involves descriptive statistics?

Answers

Answer:

  Eighty percent of the recipes in a cookbook require salt.

Step-by-step explanation:

The above statistic describes the entire population of recipes in the cookbook. It is not projecting anything about the population based on a sample.

The base of a right pentagonal prism has an area of 20 square inches. if the prism has an altitude of 8 inches, determine and state the volume of the prism, in cubic inches.

Answers

Answer:

  160 in³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base and h is the height. Filling in the given numbers, you have ...

  V = (20 in²)(8 in) = 160 in³

The volume of the prism is 160 cubic inches.

Final answer:

The volume of a right pentagonal prism can be found by multiplying the base area by the height of the prism. In this case, the volume is 160 cubic inches.

Explanation:

To find the volume of a right pentagonal prism, we need to multiply the area of the base by the height of the prism. In this case, the area of the base is 20 square inches and the altitude (height) is 8 inches. So, the volume can be found by multiplying 20 by 8.

Volume = Base Area x Height

Volume = 20 square inches x 8 inches = 160 cubic inches

Therefore, the volume of prism is 160 cubic inchinches

P(getting exactly 7 correct) = 0.0031
P(getting exactly 8 correct) = 0.000386
P(getting exactly 9 correct) = 2.86 × 10–5
P(getting exactly 10 correct) = 9.54 × 10–7
Describe the pattern in the probability of getting greater numbers of successes.

Answers

Answer:

Sample Response: The probability gets smaller and approaches 0 because 9 or 10 successes in 10 trials is unlikely.

The pattern observed is that the probability of getting a higher number of correct answers decreases exponentially as the number of correct answers increases.

We have given probabilities for getting exactly 7, 8, 9, and 10 correct answers in a sequence of trials.

P(getting exactly 7 correct) = 0.0031P(getting exactly 8 correct) = 0.000386P(getting exactly 9 correct) = 2.86 × 10⁻⁵P(getting exactly 10 correct) = 9.54 × 10⁻⁷

To describe the pattern, we can observe how the probabilities change as the number of correct answers increases.

Let's calculate the Ratios Between Successive Probabilities:

Ratio of P(8 correct) to P(7 correct)Ratio of P(9 correct) to P(8 correct)Ratio of P(10 correct) to P(9 correct)

1. [tex]\frac{P(\text{8 correct})}{P(\text{7 correct})} = \frac{0.000386}{0.0031} = 0.1245[/tex]

2. [tex]\frac{P(\text{9 correct})}{P(\text{8 correct})} = \frac{2.86 \times 10^{-5}}{0.000386} = 0.0741[/tex]

3.  [tex]\frac{P(\text{10 correct})}{P(\text{9 correct})} = \frac{9.54 \times 10^{-7}}{2.86 \times 10^{-5}}= 0.0334[/tex]

Analysis of the Pattern:

The probabilities decrease rapidly as the number of correct answers increases. The ratios themselves are decreasing, which indicates that the reduction in probability is not linear but rather exponential or follows a more pronounced pattern of decay.

This kind of pattern is typical in scenarios where the events are rare or become increasingly unlikely as the number of successes increases, such as in the binomial or geometric distributions.

Complete question:

P(getting exactly 7 correct) = 0.0031

P(getting exactly 8 correct) = 0.000386

P(getting exactly 9 correct) = 2.86 × 10⁻⁵

P(getting exactly 10 correct) = 9.54 × 10⁻⁷

Describe the pattern in the probability of getting greater numbers of successes.

What is the value of 3-(-2)?

Answers

Answer:

The answer is 5

Step-by-step explanation:

Got it right on edg :)

The value of 3 - (-2) is 5. In math, value can mean different things that are closely related. Generally, a mathematical value can be any specific mathematical thing.

What is the value?

To calculate the value of 3 - (-2), we need to understand that subtracting a negative number is equivalent to adding its positive counterpart.

So one can say that

3 - (-2)

Then Rewrite the double negative as addition:

3 + 2

So add the numbers:

3 + 2 = 5

Therefore, the value of 3 - (-2) is 5.

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Identify the volume of a cone with a base area 25π m^2 and a height equal to three times the radius.

Answers

Answer:

We apply the chain rule, along with the quotient rule, to find d ... 3. (4 pts) A particle moves on a line so that its coordinate at time t is y ... (10 pts) A cylindrical tank with radius 5 m is being filled with water at a rate of ... h/(t) = V /(t)/25π m2. ... cup has the shape of a cone with height 10 cm and radius 3 cm (at.

Step-by-step explanation:

Answer:

V = 392.7 m3

Step-by-step explanation:

To find the volume of the cone, first calculate the hieght and the radius.

To find the length of the radius, equate the given area to the formula for the area of a circle and solve for r.

πr2=25π

Divide both sides by π.

r2=25

Take the positive square root of both sides.

r=5 m

It is given that the height of the cone equal to three times the radius. So, use the radius to find the height.

h=3r

Substitute 5 for r.

h=3⋅5

Simplify.

h=15 m

To find the volume of the cone, use the formula for the volume of a cone.

V=13πr2h

Substitute 5 for r and 15 for h.

V=13⋅π⋅52⋅15

Simplify.

V=125π

Use a calculator to approximate.

V≈392.7 m3

Therefore, the volume of the cone is about 392.7 m3.

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