Which equations will find the distance between the lions and giraffes? Select all that apply. 11+16 = c 112+ 162 = c2 c2+ 162 = 112 121+ 256 = c2 11(2)+16(2) = 2c

Hello!

4 times the sum of x and y

4 * (x + y)

it's a mutliplication

the sum of 4x and y

= 4x + y

it's a sum

Answer:one is multiplying other is some.

Step-by-step explanation:

4xy and =4xy

these two are

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

Read more about range at

brainly.com/question/27910766

#SPJ1

The sentence can be completed thus: After 6 minutes, of cycling class, Tariq starts to burn more calories than Jim.

The sentence can be completed by stating that after 6 minutes of a cycling class, Tariq begins to burn more calories than Jim. In the tables, we see that Ji was burning 7 calories per minute while Tariq was burning calories at the rate of 5 per minute.

However, after the 6th minute, Triq burned 15 calories and continued at that rate while Jim maintained his rate. So, after 6 minutes Tariq exceeded Jim.

Learn more about calories here:

https://brainly.com/question/11460467

#SPJ1

Answer:

1) B = 88°, a = 13.1, b = 26.9

2) C = 73°, a = 20.9, b = 12.6

Step-by-step explanation:

To solve for the remaining sides and angles of the triangle, given two sides and an adjacent angle, use the Law of Sines formula:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies B=180^{\circ}-A-C\)

\(\implies B=180^{\circ}-29^{\circ}-63^{\circ}\)

\(\implies B=88^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies a=\dfrac{24\sin 29^{\circ}}{\sin 63^{\circ}}\)

\(\implies a=13.0876493...\)

\(\implies a=13.1\)

Solve for b:

\(\implies \dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies b=\dfrac{24\sin 88^{\circ}}{\sin 63^{\circ}}\)

\(\implies b=26.9194211...\)

\(\implies b=26.9\)

\(\hrulefill\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies C=180^{\circ}-A-B\)

\(\implies C=180^{\circ}-72^{\circ}-35^{\circ}\)

\(\implies C=73^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies a=\dfrac{21\sin 72^{\circ}}{\sin 73^{\circ}}\)

\(\implies a=20.8847511...\)

\(\implies a=20.9\)

Solve for b:

\(\implies \dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies b=\dfrac{21\sin 35^{\circ}}{\sin 73^{\circ}}\)

\(\implies b=12.5954671...\)

\(\implies b=12.6\)

The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D

In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.

The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.

In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.

Option D

For more such questions on contains filler visit:

https://brainly.com/question/14365146

#SPJ8

Answer:D

Step-by-step explanation:

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

For similar question on surveyed.

https://brainly.com/question/14610641  

#SPJ8

Answer:

25 one degree turns

Step-by-step explanation:

if one degree is one degree than 25 degrees are 25 one degree turns since 25 divided by 1 equals 25

Answer:

25

Step-by-step explanation:

The speed of the express is given by S = 61.789 km/h

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed of the express be represented as S

Now , the speed of the train A = 160 km/h

The speed of the express S = A + 10

And , the time taken by the train = T₁

The time taken by the express = T₁ - ( 1/2 )T₁

The time taken by the express = ( 1/2 )T₁

The time of the normal train is T₁ = 160 / A

And , for the express train , the time taken is

160 = S ( 160/A ) + 10 ( 160/A ) - 0.5A² - 5A

On simplifying , we get

5A² + 50A - 160000 = 0

Divide by 5 on both sides , we get

A² + 10A - 3200 = 0

On factorizing the equation , we get

A = [ -10 ± √ ( 100 + 12800 ) ] / 2

A = [ -10 ± √12900 ] / 2

So , the value of A = 51.789 km/h

Now , the speed of the express S = A + 10

The speed of the express S = 61.789 km/h

Hence , the speed is 61.789 km/h

To learn more about speed click :

https://brainly.com/question/19930939

#SPJ1

GIVEN ↷

where,

h⤿ Height ⤏0

t ⤿ time⤏?

v⤿initial velocity⤏8ft/s

s⤿initial height⤏24ft

TO FIND ↷

SOLUTION ↷

we know that,

To factorise the equation, we'll divide the both side by 8 and multiply by -1

we get,

so,

2t - 3 = 0

2t = 3

t = 3/2

t = 1.5 seconds

hence, the diver will take 1.5 seconds to reach the maximum height

Now , to find the maximum height ,

we'll insert the value of time taken in the given equation which is ↷

Hence , the maximum height the diver will reach in 1.5 seconds = 0

The roots of the function F(x) = x³ + 2x² + 4x + 8 are given as follows:

B. 1 real root and 2 complex roots.

The function in this problem is defined as follows:

F(x) = x³ + 2x² + 4x + 8.

The function is of the third degree, hence the total number of zeros of the function is of 3.

From the graph, the function has only one x-intercept, which is given as follows:

x = -2.

Hence the two remaining roots are the complex roots, meaning that option B is the correct option for this problem.

More can be learned about the zeros of a function at brainly.com/question/16550963

#SPJ1

(a) 6/245 is the probability that you and your friend joe are among the chosen.

(b) 68/245 the probability that you or your friend joe are among the chosen.

Q5. 0.5372 is the probability that i have chosen bag 1.

(a) The probability of you being chosen is 15/50, or 3/10.

Once you are chosen, there are 49 students left in the class, including Joe. The probability of Joe being chosen from the remaining 49 students is 14/49.

So the probability of both you and Joe being chosen is:

(3/10) x (14/49) = 6/245

(b) The probability of either you or Joe being chosen is the probability of you being chosen plus the probability of Joe being chosen, minus the probability of both of you being chosen (because we don't want to count that twice):

(3/10) + (14/49) - (6/245) = 68/245

Q.5

Let A be the event that bag 1 is chosen and B be the event that exactly 2 red marbles are chosen.

We want to find P(A|B), the probability that bag 1 is chosen given that exactly 2 red marbles are chosen.

Using Bayes' theorem, we have:

P(A|B) = P(B|A) x P(A) / P(B)

P(A) is the probability of choosing bag 1, which is 1/2.

P(B|A) is the probability of getting exactly 2 red marbles given that bag 1 is chosen.

This can be calculated using the hypergeometric distribution:

P(B|A) = (10 choose 3) x (6 choose 2) / (16 choose 5) = 0.2616

P(B) is the overall probability of getting exactly 2 red marbles, which can be found by using the law of total probability:

P(B) = P(B|A) x P(A) + P(B|not A) x P(not A)

where P(not A) = 1 - P(A) = 1/2.

P(B|not A) is the probability of getting exactly 2 red marbles given that bag 2 is chosen.

This can also be calculated using the hypergeometric distribution:

P(B|not A) = (15 choose 3) x (6 choose 2) / (21 choose 5) = 0.2249

So we have:

P(B) = 0.2616 x 1/2 + 0.2249 x 1/2 = 0.2432

Finally, we can plug all of these values into Bayes' theorem to find P(A|B):

P(A|B) = 0.2616 x 1/2 / 0.2432 = 0.5372

So, the probability that bag 1 was chosen given that exactly 2 red marbles were chosen is approximately 0.5372.

For similar question on probability

https://brainly.com/question/251701

#SPJ11

Layla should by not more than 4 outfits in order not to exceed her budget

The inequality expression is n  ≤ 4

price of a new bicycles = $418.55

2 bicycle reflectors = $19.39

a pair of bike gloves = $27.23

new biking outfits = $38.86 each

Nora's total money to spend at a bicycle store = $38.86

Layla's spending will never exceed the total spending at the bike shop, so it will be less than or equal to the total of other items

We write the expression as;

$640 ≤ $418.55 + 2 * $19.39 + $27.23 + n * $38.86

where n represents the number of the new biking outfits

$640 - ( $418.55+ 2 * $19.39 + $27.23 ) ≤. + n * $38.86

( $640 - ( $418.55 + 2 * $19.39 + $27.23 ) ) /  $38.86≥ n

( $640 - $484.56 ) /  $38.86 ≥ n

( $155.44) /  $38.86  ≥ n

4  ≥ n

Layla should by not more than 4 outfits in order not to exceed her budget

Read more on inequalities here: brainly.com/question/11613554

#SPJ4

The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

Learn more about Matrix property,

https://brainly.com/question/32130263

#SPJ1

Answer:  \(y^2\)

Reason:

A square root represents an exponent of 1/2

So \(\sqrt{y} = y^{1/2}\)

Raising that to the fourth power gets us this,

\((\sqrt{y})^4 = (y^{1/2})^4\\\\ (\sqrt{y})^4 = y^{(1/2)*4}\\\\ (\sqrt{y})^4 = y^{2}\\\\\)

----------------

Edit: Here's an alternative route

\((\sqrt{y})^4 = (\sqrt{y})*(\sqrt{y})*(\sqrt{y})*(\sqrt{y})\\\\ (\sqrt{y})^4 = (\sqrt{y})^2*(\sqrt{y})^2\\\\ (\sqrt{y})^4 = y*y\\\\ (\sqrt{y})^4 = y^2\\\\\)

The first line is possible because raising anything to the 4th power is the same as having 4 copies of it multiplied out (eg: 3^4 = 3*3*3*3 = 81).

Then in the second line, I collected the terms into pairs

By line 3, the square root and squaring exponent cancel each other out. This only works if y is not negative.

The answer is x=-4

I’ve attached my work explaining why below :)

x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

Two or more expressions with an Equal sign is called as Equation.

The given equation is -2(3x + 6) = 4(x + 7

We need to find the inequality which represents the solutions of the equation.

Let us solve for x

-2(3x + 6) = 4(x + 7)

Apply distributive property

-6x-12=4x+28

Take the variable terms on one side.

-6x-4x=28+12

-10x=40

Divide both sides by 10

x=-4

Hence, x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Step-by-step explanation:

Q9

a) :

First, find the common difference for the sequence. add the first term to the second term

3+3= 6

add second term to the third term

3+6=9

add third term to the fourth term

6+9=15

b) 15 +24= 39

24+39=63

39+63= 102

Q10

a) 2 , 10 , 8

b) find the common difference for the sequence. Subtract the first term from the second term.

10-2= 8

Subtract the second term from the third term

8-10= -2

c) 10

Answer:

infinite number of solutions

Step-by-step explanation:

If you just distribute the 2 on the right side of the equation,

6x + 12 = 2(3x + 6)

6x + 12 = 6x + 12

The two sides of the equation are identical. And if we were to proceed to solve (but they said don't) and subtracted 6x from both sides we would get 12 = 12 .

The variable falls out of the equation and a true statement is left behind, there are infinite solutions.

Answer:

54 =)

Step-by-step explanation:

m^2+7m-6
5^2+7(5)-6
25+35-6
Answer is 54

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using sin rule

sin 30=opposite /hypotenuse

1/2=opposite/2\(\sqrt{3\)

opposite=2\(\sqrt{3\) /2

opposite=\(\sqrt{3\)

Answer:

√3

Step-by-step explanation:

let length of side opposite 30⁰ be x

sin 30= x/ (2√3)

½=x/(2√3)

cross multiply

2x=2√3

x=√3

length opposite 30⁰= √3

Answer:

the value of f(5) is 26.672

Option (E) 26.672 is the correct answer

Step-by-step explanation:

Given that;

f(1) = 2 and f(x) = √( x³ + 6 )

f(5) = ?

f(5) = f(1) + ₁∫⁵ f'(x) dx

we substitute

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + 24.6719

f(5) = 26.672

Therefore the value of f(5) is 26.672

Option (E) 26.672 is the correct answer

The value of f(5) is 26.672

Given the following parameters

f(1) = 2

f(x) = √( x³ + 6 )

We need to calculate the value of f(5) as shown below

f(5) = f(1) + ₁∫⁵ f'(x) dx

Substitute the given parameters

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + 24.6719

f(5) = 26.672

Hence the value of f(5) from the solution is 26.672

Learn more on continuous function here: https://brainly.com/question/18102431

Answer:

Step-by-step explanation:

The polynomial in descending order is:-6x^4 - 7x^3 + 5x + 3

Answer:

Step-by-step explanation:

follow the exponents little numbers

Answer:15 and 25

Step-by-step explanation:

3:4= 7

35/7=5

5x3=15

5x4=20

Answer:

option (d) is correct.

Step-by-step explanation:

Given the table

x       -3       0       3

y       -6       0       6

An ordered pair (x, y) is a composition of the x-coordinate and y-coordinate.

For example, the ordered pair (1, 2) is a composition of the x-coordinate i.e. x = 1 and y-coordinate i.e. y = 2.

The relation can be determined by converting all the points in the table via the ordered pairs and combining all of them such as ordered pairs:

{(-3, -6), (0, 0), (3, 6)}

Therefore, option (d) is correct.

9514 1404 393

Answer:

  -2

Step-by-step explanation:

The slope formula can be used. Fill in the given information and solve for b.

  m = (y2 -y1)/(x2 -x1)

  -3/4 = (b -4)/(6 -(-2))

  -6 = b -4 . . . . . . multiply by 8

  -2 = b . . . . . . . . add 4

The value of b is -2.

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

Answer:

15x12

Step-by-step explanation:

no example heeeeewweee

Answer:

Jack worked at a phone shop. He sold 7 phones each day for 12 days. How many phones did he sell in total?

12x7=84

pls mark brainliest

The statement that is true about the algebraic expression 450 −15t is B. A student has 450 marbles. They give t marbles to each of their 15 friends. The expression represents the total marbles the student is left with.

In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.

In this case, when a student has 450 marbles. They give t marbles to each of their 15 friends.

The expression represents the total marbles the student is left with will be:

= 450 - (15 × t)

= 450 - 15t

Learn more about expressions on:

https://brainly.com/question/2164351

#SPJ1

Answer:

Step-by-step explanation:

this is correct trust me im learning this and passing the concept h(x)=2+3

and f(x)=3x-2

Here is a tip use desmos it is a graphing calculater and will tell you the answer