HELP PLEASE!!
Measure of Arc JKL in degrees??

Answer:

[tex]\boxed{1 \: \: \mathrm{solution}}[/tex]

Step-by-step explanation:

The point where two lines intersect is the solution to the system of equations.

The two lines intersect at (-1, 2).

x = -1

y = 2

y = 2x + 4

y = -x + 1

Plug y as -x+1 in the first equation.

-x + 1 = 2x + 4

-x - 2x = 4 - 1

-3x = 3

x = -1

Plug x as -1 in the second equation.

y = -(-1) + 1

y = 1 + 1

y = 2

Answer:

Hey there!

Only one solution, because they intersect at only one point.

Hope this helps :)

Answer: A  there are equivalent.

Step-by-step explanation:

f(x) = [tex]\sqrt{16}^x[/tex]  reduces to  f(x)=[tex]4^{x}[/tex]  

g(x)= [tex]\sqrt[3]{64}^{x}[/tex]   also reduces to g(x) = [tex]4^{x}[/tex]  

The function g(x) equal to f(x).

A quantity representing the exponent to which a given number or letter is to be raised is usually expressed as a raised symbol beside the number or letter. It is expressed as aˣ is a variable and a is constant.

Given are two functions, f(x) = √16ˣ and g(x) = ∛64ˣ,

We need to find the relation between the function,

So,

√16 = 4

∛64 = 4

Functions can be written as, f(x) = 4ˣ and g(x) = 4ˣ,

It is clear that g(x) equal to f(x) because g(x) is having power equal than f(x).

Thus, It is clear that g(x) is equal to f(x).

More about the exponent link is given below.

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Answer:

Initial number of trees (t)=204

Step-by-step explanation:

t = initial number of trees

Subtract 5 trees from the initial number of trees

we have,

t-5

each remaining tree made 210 oranges for a total of 41,790 oranges

We have,

(t-5) * 210=41790

Solve the equation

(t-5) * 210=41790

Open the bracket

210t-1050=41790

210t=41790+1050

210t=42840

Divide both sides by 210

210t/210=42840/210

t=204

The initial number of trees on MacDonald farm orange trees (t)=204

If 5 is removed from the initial trees

t-5=204-5

=199 trees

199 trees produce 210 oranges

We have,

199*210=41790 oranges

Answer:

Equation: 210t - 1050 = 41790

204 orange trees

Step-by-step explanation:

answer is from khan academy

pls brainliest :|

Answer:

48.25 in^2.

Step-by-step explanation:

Surface area of the base

= 1/2 & base * height

= 1/2 * 4.3 * 5

= 10.75 in^2.

Area of each triangular side

= 1/2 * 5 * 5

= 12.5 in^2.

So total surface area

= 10.75 + 3 * 12.5

=  48.25 in^2.

Answer:

C

Step-by-step explanation:

Answer: D. 95%

Step-by-step explanation: If the difference of the scores given is 5 above and below the mean, that represents 2 standard deviations.

In normal distribution, 2 standard deviations above and below the mean represent 95% of all the inputs.

Answer:

x = 4

Step-by-step explanation:

If two secants are drawn to a circle from one exterior point, then the product of the exterior segment and whole segment is same. i.e 6×(6+x) = 5×(5+x+3)

=> 6x+36 = 5x + 15 +25

=> x = 40-36

=> x = 4

I hope it's the right answer.

Answer:

x = 4

Step-by-step explanation:

Given 2 secants drawn to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

6(6 + x) = 5(5 + x + 3), that is

36 + 6x = 5(8 + x) = 40 + 5x ( subtract 5x from both sides )

36 + x = 40 ( subtract 36 from both sides )

x = 4

Answer:

b.

(a) 676,000,000

(b) 98,280,000.

Step-by-step explanation:

If no repetition the number of possible outcomes is:

26P2 * 10P6

= 650 * 151200

= 98,280,000.

If repetitions are allowed it is:

(650 + 26) * 10^6

= 676 * 1,000,000

= 676,000,000.

Answer:

The problems with same answers are:

(a, 4), (b, 3), (c, 1), (d, 5) and (e, 2).

Step-by-step explanation:

The two sets of problem are as follows:

    Set 1                           Set 2          

a. 36·4+36·9                 1. (8+2)·19

b. 17·(18−15)                2. 11·(14+6)

c. 8·19+2·19                 3. 17·18−17·15

d. (26−18)·6                  4. 36·(4+9)

e. 11·14+11·6               5. 26·6−18·6

The matched pairs are as follows:

a. 36·4+36·9 = 36·(4 + 9) → 4. 36·(4+9)

b.17·(18−15) = 17·18−17·15 → 3. 17·18−17·15

c. 8·19+2·19 = (8 + 2)·19 → 1. (8+2)·19

d. (26−18)·6 = 26·6−18·6 → 5. 26·6−18·6

e. 11·14+11·6 = 11·(14+6) → 2. 11·(14+6)

Thus, the problems with same answers are:

(a, 4), (b, 3), (c, 1), (d, 5) and (e, 2).

Answer:

D. 5x + 5

Step-by-step explanation:

(9x2 + 10x + 4) − (9x2 + 5x − 1) =

Remove the first set of parentheses since they are unnecessary.

To remove the second set of parentheses, change every sign inside.

= 9x2 + 10x + 4 − 9x2 - 5x + 1

Combine like terms.

= 5x + 5

Answer: D. 5x + 5

The simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1)  is 5x+5 option (D) is correct.

Any equation of the form [tex]\rm ax^2 +bx+c= 0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

[tex]=\rm (9x^2 + 10x + 4) - (9x^2 + 5x- 1)[/tex]

[tex]=\rm 9x^2 + 10x + 4 - 9x^2 - 5x+ 1)\\\\= 5x+5[/tex]

Thus, the simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1)  is 5x+5 option (D) is correct.

Learn more about quadratic equations here:

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Answer:

17, 2, 2

Reasoning/Work:

Answer:

97

Step-by-step explanation:

the shape leans a little so it's more than 90

Answer:

In January

she used 3/5 of what she used in February.

In February she used 2/3 litres of oil.

So it is 3/5 of 2/3 to find what amount she used in January.

3/5 × 2/3 = 6/15

If we simplify 6/15 we find 2/5 as our answer.

So our answer is 2/5 litres.

Answer:

The speed of the car engine is 15.4m/s

Step-by-step explanation:

Given

Power = 2100; when Speed = 15

Required

Find Speed when Power = 2200

The question says power is proportional to square of speed;

Mathematically;

[tex]Power\ \alpha \ Speed^2[/tex]

Represent Power with P and Speed with S

[tex]P\ \alpha \ S^2[/tex]

Convert proportion to an equation

[tex]P\ = \ kS^2[/tex]

Where k is proportionality constant

Make k the subject of formula

[tex]\frac{P}{S^2} = k[/tex]

When P = 2100 and S = 15

[tex]\frac{2100}{15^2} = k[/tex]

When P = 2200 and S is unknown

[tex]\frac{2200}{S^2} = k[/tex]

Recall that [tex]\frac{2100}{15^2} = k[/tex]

So;

[tex]\frac{2200}{S^2} = k[/tex] becomes

[tex]\frac{2200}{S^2} = \frac{2100}{15^2}[/tex]

Cross Multiply

[tex]S^2 * 2100 = 2200 * 15^2[/tex]

[tex]S^2 * 2100 = 2200 * 225[/tex]

[tex]S^2 * 2100 = 495000[/tex]

Divide both sides by 2100

[tex]S^2 = \frac{495000}{2100}[/tex]

[tex]S^2 =235.714285714[/tex]

Take Square Roots of both sides

[tex]S = \sqrt{235.714285714}[/tex]

[tex]S =15.3529894716[/tex]

[tex]S = 15.4[/tex] (Approximated)

Answer:

F. cylinder

Step-by-step explanation:

A cylinder has a circle for its base, which has no vertices and is not a polygon. This, therefore, disqualifies a cylinder as a polyhedron.

Answer:

16 hectáreas y 20 hectáreas

Step-by-step explanation:

Aquí, debemos compartir las 36 hectáreas con respecto a la proporción de sus edades.

Lo primero que debe hacer aquí es colocar su edad de lado a lado y encontrar la relación con el término más bajo.

Por lo tanto; 12:15 al término más bajo es 4: 5 Entonces debemos compartir 36 hectáreas en la proporción 4: 5

Primero, sumamos ambos y tenemos 4 + 5 = 9

Entonces; 4/9 * 36 = 16 hectáreas

5/9 * 36 = 20 hectáreas

Answer:

12

25

Step-by-step explanation:

Answer:

[tex]T = \frac{u + v}{2} [/tex]

Cross multiply

We have

2T = u + v

u + v = 2T

Move v to the right side of the equation to make u stand alone

We have the final answer as

Hope this helps you

Answer:

120 flags

Step-by-step explanation:

Given that:

The flag of country Perralia has to contain three differently-colored stripes of the same width, r = 3 stripes

all of which must be positioned either vertically or horizontally =  2

If the flag of Perralia must consist of the national colors, which include green, red, yellow, black, and blue. So the number  of color n = 5 colors

The objective is to determine how many different flags can be created.

Let us recall that;the arrangement of objects taking into account the different orders or arrangement is called permutation.

The same is applicable in this scenario as well.

The number of flags that can be created can be determined by considering the permutation of :

[tex]P_r = \dfrac{n!}{(n-r)!}[/tex]

[tex]P_r = \dfrac{5!}{(5-3)!}[/tex]

[tex]P_r = \dfrac{5!}{(2)!}[/tex]

[tex]P_r = \dfrac{5 \times 4 \times 3 \times 2!}{(2)!}[/tex]

[tex]P_r = {5 \times 4 \times 3[/tex]

[tex]P_r = 60[/tex]

However, Since all of the must be positioned either vertically or horizontally =  2

Then the total number pf flags that be created = 2 × 60 = 120 flags

Answer: 3.60

Step-by-step explanation:

18 times 020 is 3.60 so ye thats how much you would save

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with 4 sides and both pairs of opposite sides are equal.

Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The correct answer would be A. True

Both sides of the opposite sides are equal and has to have 4 sides so a quadrilateral is a parallogram.

A quadrilateral is a parallelogram only if both pairs of opposite sides are equal

= TRUE!

Hope this helps!

By: xBrainly

Answer:

I think the answers are 1 to 1 ,9 to 8 , 10 to7

Answer:

Hey there!

To solve this problem, we want to find the LCM (least common multiple) of the two numbers.

The numbers are 25 and 30.

25=5x5

30=2x3x5

LCM is 5x5x2x3, or 150.

Thus, in 150 minutes is when the next bus will leave.

150 mins is equal to 2 hours and 30 mins, or 2.5 hours.

8 AM + 2.5 hrs = 10:30 AM.

Thus, the next time the busses leave together would be at 10:30 AM.

Let me know if this helps :)

Answer:

He could put the first card he removed into his pocket

Step-by-step explanation:

With regards to the above, he could put the first card he removed into his pocket so that the amount of card he has to draw the second time will be affected hence make it dependent.

Take for instance, there are 52 cards in total, if he picks the first card and did not replace it, then the probability of taking second card will be 50/51 since the total cards left in the deck is now 51.

Keeping the card out of the deck can be done to ensure that the events are dependent.

Probability is a measure of the likeliness of an event to occur and it is measured between 0 to 1 , where 0 represents unlikeliness of the event and 1 represents certainty.

It is given in the question that he would have to keep the first card out of the deck before removing the second card.

Two events are dependent if the probability of one event changes based on the result of the other.

To be clear, an action on its own (like drawing a card) is not an event. An event is a possible outcome (or set of outcomes) we could observe.

Since we assume all 52 cards have an equal chance of being drawn on the first pick (that being 152), the only way to change this probability for the second pick is to keep the first card out of the deck.

This reduces the size of the deck to 51, meaning each remaining card has a 51 chance of being picked—except for the card he drew first, which now has a 0% chance of being drawn again.

Therefore keeping the card out of the deck can be done to ensure that the events are dependent.

To know more about Probability

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Answer: 0.95k + 3.15

Step-by-step explanation:

0.95k is because each of k kilometers costs $0.95.  + 3.15 is because it costs 3.15 as a flat rate regardless of distance

Hope it helps <3

Answer:

.95k+3.15

Step-by-step explanation:

To write an expression you need a variable (k). I look at the directions and I see that the length of the trip is 'k' kilometers. So I pay the flat fee of 3.15 ONE TIME. Then I pay $0.95 for every kilometer I go, so the expression is

->   .95k+3.15

Answer:

a) x+3=19

Step-by-step explanation:

a)

x is the age of Ronald , Collin is three years older than Ronald , so if we add up x(Ronald's age) and 3(the difference between both of their ages), we would get Collin's age(19) . That is the explanation for this equation.

b)

x+3=19

x=19-3

x=16

thus , x is 16 , in other words , Ronald's age is 16.

Answer:

3 student.

Step-by-step explanation:

From the first statement:

Let the total score be T

Let the total number of student be x

The average of the score = 72

Average = Tota score / number of student

72 = T/x

Cross multiply

T = 72x ..... (1)

Second statement:

One more student took the test and the average becomes 76 with the student having a score of 88.

Therefore,

Overall score = T + 88

Total student = x + 1

Average = 76

Average = overall score / total number of student

76 = (T + 88) /(x + 1)

Cross multiply

76(x + 1) = T + 88

Clear bracket

76x + 76 = T + 88

From equation 1

T = 72x

76x + 76 = 72x + 88

Collect like terms

76x – 72x = 88 – 76

4x = 12

Divide both side by the coefficient of x i.e 4

x = 12/4

x = 3

Therefore, the initial number of the student were 3.

Answer:

C. 55

Step-by-step explanation:

Since all angles in a triangle add up to 180°, we have:

40 + y + y + 30 = 180

2y + 70 = 180

2y = 110

y = 55

Answer:

C. 55º

Step-by-step explanation:

A triangle is 180º.

So, 40+y+30+y = 180º         Form an equation to solve it. Then combine like terms

70+2y = 180º                       Subtract 70 on both sides.

2y = 110º                              Divide 2 on both sides

y = 55º                                The answer is 55º

Answer:

8

Step-by-step explanation:

We will the pythagorian theorem :

Answer:

b=8

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle:

a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse

a=6 and b = 10

6^2 + b ^2 = 10^2

36+ b^2 = 100

b^2 = 100-36

b^2 = 64

Taking the square root of each side

sqrt(b^2) = sqrt(64)

b = 8

Answer: 3.5

Step-by-step explanation: