Which of these is correct?

Answer:

a = - 24 ; n =25

a = 28 ; n = 25

Step-by-step explanation:

n = l - a/d + 1

d = common difference = 4

Last term = l = 72

n = 72 - a/4 + 1

4n = 72 - a + 4

4n = 76 - a

a = 76 - 4n - - - (1)

Sum of terms :

Sn = n/2(a + l)

Sn = 600

600 = n/2(a + 72)

1200 = n(76-4n +72)

1200 = 148n - 4n

4n² - 148n + 1200

Solving the quadratic equation :

Roots of n are :

12 and 25

From (1)

n = 12

a = 76 - 4(12) = 28

n = 25

a = 76 - 4(25) = - 24

Hence,

a = - 24 ; n =25

a = 28 ; n = 25

=- No way

Step-by-step explanation:

Answer:

its c ! just took the test :)

Option C is correct. The equation that matches the function shown in the graph is expressed as y = 3sin(x-π)

The general formula for a sine function is expressed as;

y = Asin(x+Ф)

A is the amplitude i.e the maximum point on the curve. From the diagram, we can see that the maximum point is at 3 (factor 3 elongates the curve).

A = 3

Also, since the graph translates to the right by π, hence Ф = -π

Substituting the resulting values into the formula, we will have;

y =3sin(x+ (-π))

y = 3sin(x-π)

Hence the equation that matches the function shown in the graph is expressed as y = 3sin(x-π)

Learn more about since graph here: https://brainly.com/question/16262155

Answer:

x = 60° (Alternate angles)

Step-by-step explanation:

a) x = 60°

b) Reason: Alternate angles

Answer:x=60

Step-by-step explanation: all angles in a triangle add up to 180 degrees, x is the same as the angle next to it, therefore x=60 degrees

a) 3x + 5y =  26  

b) 2x + 2y = 12

First, we need to find a way to equate either the x terms or the y terms in each equation. a)  6x + 10y = 52

                          b) 6x + 6y = 36

Then take equation b) from the equation a) to eliminate the x component.

a) 6x + 10y = 52

- b) 6x + 6y = 36

   0x    + 4y = 16

            y = 4 ?

Then substitute the value of y into either equation to find the value of x.

b) 2x + 2y = 12

   2x + (2x4) =12

   2x + 8 = 12

   2x = 4

   x = 2

I hope this new information i read helps you maybe understand it and as an example!

Answer:

(b, -a)

Step-by-step explanation:

First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)

Note that the coordinates were swapped and the x coordinates negated. Similarly;

Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will  be (b, -a)

Answer:

The second choice is correct

Step-by-step explanation:

Here, we want to get the correct statement

As can be seen, while 2 is the angle at the circumference, 1 is the angle at the center

Mathematically, we know that angle at the center is two times the angle at the circumference

Thus,

m1 = 1/2 (m2)

or m2 = 2 * m1

Answer:

everything is in the picture

Answer:

5

Step-by-step explanation:

use Pythagoras theorem

Answer:

5 units

Step-by-step explanation:

It says round to the nearest 10th so it cant be 5.1 or 4.99, and 25 is to big for that side, so 5 units

Answer:

Q1; 124.72

Sorry I don’t understand the second one

Step-by-step explanation:

Answer:

175%

Step-by-step explanation:

The first one is a whole=1

the second one is cut in four but only 3 are shaded so 1/4=0.25    0.25*3=0.75

3/4/0.75 is shaded

so 1+0.75=1.75

1.75=175%

Answer:

The area of the rectangle is Length x width. So 12x4 would =48 sq cm. The area of the circle is ( 3.14 ) x r2.

The area of the circle would be = (3.14)x2^2)=12.56 cm sq.

So the total  area is= Area of rectangle +Area of circle

TA=48+12.56

TA=60.56 sq cm

:)

Answer:

$183.3

Step-by-step explanation:

Ruth uses healthy credit to finance $2,200 for a hearing aid how much would she have to pay each month to pay back the loan in exactly 1 year

Ruth took a loan of $2,200

1 year = 12 months

Hence, the amount she would be paying monthly is calculated as:

$2,200/12 months

= $2,200/12

= $183.33333333

Approximately = $183.3

Therefore, Ruth would be paying $183.3 monthly.

Answer:

D) 6^5 · 3^5

Step-by-step explanation:

(6 · 3)^5 = 1889568

A) WRONG

(5 · (6 · 3)) = 90

B) WRONG

9^5 = 59049

C) WRONG

6 · 3^5 = 1458

D) CORRECT

6^5 · 3^5 = 1889568

Answer:

y=-3/4+9

Step-by-step explanation:

First off we know that they are parallel, so they have to have the same slope.

y=-3/4

that is all we have for now, so we have to find b, the y intercept

we know that Street F passes through the point (4,6), so we graph that.

now we look at the graph and we can see that it look like we can translate it up 7 units.

this will give us the equation

y=-3/4+9

this is the answer hope this helps!

Answer:

C. [tex] \sqrt{x + 2} - \sqrt{x}[/tex]

Step-by-step explanation:

[tex] \frac{2}{ \sqrt{x} + \sqrt{x + 2} } \\ \\ = \frac{2}{ (\sqrt{x} + \sqrt{x + 2}) } \times \frac{(\sqrt{x} - \sqrt{x + 2})}{(\sqrt{x} - \sqrt{x + 2})} \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ ({ \sqrt{x} )}^{2} - {( \sqrt{x + 2} )}^{2} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - {( x + 2)} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - x - 2 } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ - 2 } \\ \\ = - ( \sqrt{x} - \sqrt{x + 2}) \\ \\ \frac{2}{ \sqrt{x} + \sqrt{x + 2} } = \purple{ \bold{\sqrt{x + 2} - \sqrt{x} }}[/tex]

Answers of the quiz are as follows

A. 75

B. -50

C. 20

D. -12

We have been given that -

Number of questions= 25

Correct answers= x and score= 3

Incorrect answers= y and score= -2

Not answered= z and score= 0

We can calculate the score as:

A) What is the maximum score you could get on the quiz?

Maximum score one can get on the quiz if he / she correct all i.e. -

25 × 3 = 75.

B)  What is the minimum score you could get on the quiz?

Minimum score one can get on the quiz if he / she correct all i.e. -

25 ×-2 = -50.

C)  A student answers 15 questions.10 are correct. How many points does he score?

Scored points = (10 × 3) + (5 × -2)

= 30 -10

=20 points

D) Another student answers 21 questions. 6 are correct. How many points does she score?

= 6 × 3 + (15 × -2)

= 18-30

= - 12 points

Hence, the answer are a- 75 , b- -50 , c - 20, d- -12.

To learn more about Numbers

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Answer:

y = 1.4x + 5.6

Step-by-step explanation:

plug the slope and y-intercept into the formula: y = ax + b (a is the slope and b is the y-intercept)

thus, y = 1.4x + 5.6

Answer:

V≈5.23×10-7m³

Step-by-step explanation:

V=π(d

2)2h=π·(0.014

2)2·3.4×10-3≈5.23389×10-7m³

Answer: 523.1 mm^2

You first want to find the radius for the volume of cylinder formula. You first do 14 divided by 2 to get the radius. You should get 7. Then after you find the radius you then put it into the formula which is v=3.14 x radius^2 x height. The equation with all the numbers from the problem is 3.14 x 7^2 x 3.4. After you put the equation into your calculator you should get 523.1 mm^2.

Answer:

solution given:

B.

CE=2×2=4[base side is double to the line of mid point]

AB=15/2=7.5[b is a mid point]

m<AEC=75°[ corresponding angle]

5.

given:

BD=x+1

CE=x+10

we have

2BD=CE

2(x+1)=x+10

2x+2=x+10

2x-x=10-2

x=8

Answer:

621.75

Step-by-step explanation:

Hope this helps!!!

Answer:

Hypotenuse

Step-by-step explanation:

Answer:

it's called the hypothenuse

Answer:

S.A. = 138.16

Step-by-step explanation:

S.A. = πrl+πr²

3.14 x 4 = 12.56

12.56 x 7 =87.92

3.14 x 4 = 12.56

12.56 x 4 = 50.24

87.92 + 50.24 = 138.16

Let me know if this helps!

Answer:

I believe 31 dollars and 95 cents

Step-by-step explanation:

Marie would earn $37.2 in 4 1/2 hour.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Marie charges a $10.75 base fee for each dog she walks,

and, additional $7.10 per hour that she walks the dog.

Each day she spends $5.50 on dog treats.

So, if Marie works for 4 1/2 hour then she can earn

= 10.75 + 4 1/2 x 7.1 - 5.5

= 10.75 + 4.5 x 7.1 - 5.5

= $37.2.

Hence, Marie would earn $37.2.

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Answer:

8

Step-by-step explanation: