Set 2 Maths has 30 pupils in it.
Set 1 Maths has 80% of the number of pupils in Set 2
How many pupils does Set 1 Maths have?

Answer:

Step-by-step explanation:

y=3(x−3)^2+75

Answer:

(x - 3)² = - 25

Step-by-step explanation:

Given

- 3x² = - 18x + 102 ( add 18x to both sides )

- 3x² + 18x = 102 ( divide through by - 3 )

x² - 6x = - 34

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 3)x + 9 = - 34 + 9

(x - 3)² = - 25

Answer:

x = 12

Step-by-step explanation:

The sum of the two smaller angles is 140

80+5x = 140

Subtract 80 from each side

80+5x-80 =140-80

5x = 60

Divide each side by 5

5x/5 = 60/5

x = 12

Answer:

D

Step-by-step explanation:

The correct answer is D

Answer:

D

Step-by-step explanation:

y<2/3 x-1 is the answer

Answer:

Step-by-step explanation:

F(x)=2^x

[tex]F(-2)=2^{-2} =\frac{1}{2^2} =\frac{1}{4}[/tex]

Answer: B

Step-by-step explanation:

We are given that a 45-45-90 triangle has a hypotenuse of [tex]7\sqrt{2}[/tex].

In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.

[tex]a^2+a^2=(7\sqrt{2})^{2}[/tex]         [combine like terms]

[tex]2a^2=(7\sqrt{2})^2[/tex]               [square root both sides]

[tex]a\sqrt{2} =7\sqrt{2}[/tex]                 [divide both sides by root 2]

[tex]a=7[/tex]

Now, we know that a leg is length 7, which is B.                

Answer:

[tex]\sqrt{-16} +8[/tex]

[tex]=4i+8[/tex]

OAmalOHopeO

Answer:

vertex of 4 is 2

Step-by-step explanation:

cuh cuh uchuch uch uch uch

Answer:

x = 14

[tex]h^2 = p^2 + b^2\\h^2 = 7^2 + 12^2\\x^2 = 49 + 144\\x^2 = 193\\so, x = 13.89\\so, x = 14[/tex]

Answer:

If angle C is supplementary to angle D, then angle D is 60 degrees.

If angle C is corresponding, vertical, alternate interior, or alternate exterior to angle D, then angle D is 120 degrees.

Answer:

You need to use sohcahtoa to find your answer.

first you gotta identify what sides of the triangle you have.

You're missing the hypotenuse, and you have the value of the adjacent.

since you have the adjacent and need the hypotenuse, you're going to use cosine to find x

cos(65) = 16/x

x = 37.859

Answer:

x = 37.85

this is a standard "trig" question

it requires two pieces  of insight.

First that a triangle has 180° interior angles.

from that you can determine that the third angle is 25° because

90 + 65 + β = 180

the red symbol lets you know that it is 90°

the second think that will help is SOHCAHTOA

that is if you have a "right triangle" (one with a 90° angle)

in this problem (in your mind rotate the triangle so the 65° is at the bottom left and the two long sides are pointing up

in this case you have the 16 on the bottom (adjacent to the angle) and

the x is on the hypotenuse...

you have the A& H that is COS

thus you have cos(65) = [tex]\frac{16}{x}[/tex]

x = 37.85

Step-by-step explanation:

Answer:

Step-by-step explanation:

Steps:

Step 1: Put the numbers in order. ...

Step 2: Find the median. ...

Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...

Step 4: Find Q1 and Q3. ...

Step 5: Subtract Q1 from Q3 to find the interquartile range.

Answer: 13.1

Step-by-step explanation:

Answer:/11-5/9×14/11

Step-by-step explanation:

-4/5+1/4÷3

Answer:

66 degrees

Step-by-step explanation:

The value of an external angle is the sum of the other two angles of the triangle of which that external triangle is sharing with.

This means that angle 4, or 123 is equal to angle 1 plus angle 3, which is 57 degrees.

We have this equation:

[tex]x+57=123[/tex], where x is the value of angle 1.

Subtracting 57 from both sides, we have

[tex]x = 66[/tex]

Answer:

250 cm²

Step-by-step explanation:

Lateral area of the prism is,

5×10×5

= 250 cm²

Lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].

" Lateral surface area is defined as the sum of  area of the all the surfaces except top and bottom of the given geometrical shape."

Formula used

Lateral surface area of pentagonal prism [tex]=5ah[/tex]

[tex]a=[/tex] edge length of the base

[tex]h=[/tex] height of the prism

According to the question,

For the given pentagonal prism,

Edge length of the base [tex]'a' = 5cm[/tex]

Height of the prism [tex]'h' = 10cm[/tex]

Substitute the value in the formula of lateral surface area we get,

Lateral surface area of pentagonal prism [tex]= 5 \times 5\times 10[/tex]

                                                                      [tex]= 250cm^{2}[/tex]

Hence, lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].

Learn more about  lateral surface area here

https://brainly.com/question/14001755

#SPJ2

Answer:

y= -13x+77

Step-by-step explanation:

Parallel lines do not share any points but have the same slope.

First, put the equation y-5=-13(x+2) into slope-intercept form.

y= -13x-21

Slope= -13x

Y-Intercept= (0,-21)

Now that we know the slope...

y-(-1)=-13(x-6)

becomes

y+1=-13x+78

y-1=-13x+78-1

y=-13x+77

Answer:

10*(5) - 2*(2)^3

= 50 - 2*8

= 50 - 16

=34

Answer:

Step-by-step explanation:

với x=5 và y=2

phương trinh trở th a

10*  5 - 2 * 2^ 3

=50 -  2*8

=50 - 16

=34

Answer:

2^0

Step-by-step explanation:

When you are dividing 2 exponents with the same base (in this case, 2) you subtract them. 2^5 ➗ 2^5 => 2^(5-5) = 2^0 => which is equal to 1, but the answer here would be 2^0.

There are two ways to go about this problem.

The first way, the generic way, is to know that,

[tex]\frac{a^n}{a^m}=a^{n-m},a\neq0[/tex].

So,

[tex]\frac{2^5}{2^5}=2^{5-5}=\boxed{2^0}[/tex].

The second way is to realise that both numerator and denominator are equal and when diving two equal numbers you obtain 1. (except when diving zeros) aka,

[tex]\frac{a}{a}=1, a\neq0[/tex]

And 1 equals to any number raised to the power of zero,

[tex]a^0=1,a\neq0[/tex]

So we just have to say that the 1 we got is rewritten as some base to the power of zero.

Since our base needs to be 2, we just simply say,

[tex]2^0[/tex].

Et Viola.

Hope this helps.

Answer:

3 GB over: $80 x GB over: $35+$15x

Step-by-step explanation:

First, 3 GB over is 3 times 15 plus 35, which equals 80. x GB over is x times 15 plus 35, hence the answer. Hope this helps!

For using 3GB of data more, she'll be charged $80.

a. Amount charged per month = $35

Amount charged for over-usage = $15 per gb.

Therefore, when she uses 3gb more, the amount charged will be:

= $35 + ($15 × 3)

= $35 + $45.

= $80

When she uses x gb more, the amount that she'll be charged will be:

= $35 + ($15 × x)

= $35 + 15x

= 35 + 15x

Read related link on:

https://brainly.com/question/23306305

Answer:

C

Step-by-step explanation:

The correct answer is C, love from Gauthmath

Answer:

the correct answer is option C

Step-by-step explanation:

(negative 7 x + 4)(negative 7 x minus 4)

Answer:

1

Step-by-step explanation:

Since we are taking the area of a square, you can take the square root of its area to find the side lengths.

√1 = 1

except for letter a. LIZM

If φ = arccos(-5/13), then cos(φ) = -5/13. Since this is negative, you know φ is an angle that terminates either the second or third quadrant.

arctan(x) has a range of -π/2 < arctan(x) < π/2, which is to say that arctan(x) is an angle that terminates in either the first or fourth quadrant.

These quadrants don't overlap, so there is no solution to the equation.

Answer:

g(x) = -2(x - 6) - 7

Step-by-step explanation:

Sorry if I'm wrong

Answer:

Step-by-step explanation:

Look at the y-values as x-values are same for all tables.

We see that:

Step-by-step explanation:

s:t=2:3

t:u=2:3

s:u=?

s/u=2/3

Answer:

HOPE IT HELP YOU . Plz tell me if it is write or wrong .

Answer:

Hope this helps you

Answered by G a u t h m a t h

Answer:

Step-by-step explanation:

The answer is D. Use the Stat and then Edit button on your TI calculator to edit the values in L1 and L2 tables. In L1 enter 0, 1, 2, 3, 4, 5 and then arrow over and enter the y values into L2 the same way. Enter the number 12, then hit enter; enter the number 14, hit enter; enter the number 15 and then hit enter, etc. Do the same for the values that are going into L1.

When that is done, hit the Stat button again and arrow down to QuadReg and hit enter. Depending upon your calculator, you may have to arrow down to "calculate" or the calculator may display the equation immediately after hitting QuadReg. Again, it all depends upon your calculator.

The required correct quadratic regression equation that fits the given data is y = -0.89x² + 3.24x+11.93. Option D is correct.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
To find the quadratic regression equation, we need to use a calculator or software that can perform a quadratic regression analysis. Using such a tool, we obtain the following equation:

y = -0.89x² + 3.24x+11.93

This equation fits the data points (0, 12), (1, 14), (2, 15), (3, 14), (4, 10), and (5, 6) with a high degree of accuracy.

The equation is in the form of a quadratic function, which has a parabolic shape when graphed. The coefficient of the x² term (-0.89) indicates that the parabola is downward-facing, while the other coefficients determine the exact shape and position of the parabola.

Option A is incorrect because its equation does not fit the data points accurately. Option B is also incorrect because it is not a quadratic equation, and option C is incorrect because its equation also does not fit the data points accurately.

Learn more about equations here:

brainly.com/question/10413253

#SPJ7

u need to finish 4 assignments in 1 hour