The scatter diagram shows the scores of 10 students in their maths and English exams

Answer:

perfect square

Step-by-step explanation:

It is not positive because it is negative.  

Answer:

D. IMAGINARY

Step-by-step explanation:

That is an imaginary number.

Answer:

f(3) = 22

Step-by-step explanation:

f(x) = 2x^2 + 4

=>f(3) = 2(3)^2 + 4

         = 2(9) + 4

         = 18 + 4

         = 22

Answer:

4.83*2.6=45

Step-by-step explanation:

The volume of the cylindrical soda can is 25.64 cubic inches.

Volume is defined as the space occupied by any object in the three-Dimensions. For the cylinder, we need the diameter and the height of the cylinder.

The volume will be calculated as:-

V = ( π / 4 ) d²l

We have d = 2.56 inches and h = 4.83 inches

V =  ( π / 4 ) x ( 2.56 )² x ( 4.83)

V = 25.64 cubic inches.

Hence, the volume is 25.64 cubic inches.

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Answer:

Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.

Answer:

See below.

Step-by-step explanation:

She is wrong because  3 times the perimeter  of one triangle is the sum of 9 sides of the triangles.

In the shape  we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape,  - the perimeter is only the length of 5 sides of a triangle.

So the perimeter is less than the sum of the sides of the 3  triangles.

Answer:

xy^7 - x^a y^b = 0

Answer:

second card = 4  third card = 10 fourth card = 14

Step-by-step explanation:

18+2=20

20÷2=10.

10-2=8

8÷2=4

10+4=14

Answer:

A. Add the endpoints

C. Divide -12 by 2

Step-by-step explanation:

To find the midpoint of the vertical line segment with endpoints (0, 0) and (0, -12).

Step 1: Add the endpoints (y-coordinates)

0+-12=-12

Step 2: Divide -12 by 2

-12/2=-6

Therefore, the y-coordinate of the midpoint of a vertical line segment is -6.

Options A and C are correct.

Answer:

A) All real numbers

B) All real numbers except y = 0

C) All real numbers except x = -7

D) All real numbers except b = 10

Step-by-step explanation:

An expression is defined at all those points at which it does not give the value equal to [tex]\infty[/tex] or does not give the zero by zero form.

i.e. [tex]\frac{0}{0}[/tex] Numerator and Denominator both having zeroes.

Now, let us have a look at the given expressions:

A) 5y+2

Here, Denominator is 1. So, there is no constraint on the value of y.

Hence, at all Real Numbers, the expression is defined.

[tex]B)\ \dfrac{8}{y}[/tex]

Here, denominator is y,

At [tex]y = 0[/tex], the value of expression will approach towards [tex]\infty[/tex]

Hence, this expression is defined at All Real numbers except y = 0

[tex]C)\ \dfrac{1}{x+7}[/tex]

Here, zero by zero form is not possible.

Let us check the value of x where the denominator can be 0 and as a result the expression tends to reach value [tex]\infty[/tex].

x+7=0

At x = -7, the denominator will be 0 and as a result the expression tends to reach value [tex]\infty[/tex].

Hence, the expression is defined at All real number except x = -7

[tex]D) \dfrac{2b}{10-b}[/tex]

Here zero by zero form is not possible.

Let us check the value of b where the denominator can be 0 and as a result the expression tends to reach value [tex]\infty[/tex].

10-b=0

At b = 10, the denominator will be 0 and as a result the expression tends to reach value [tex]\infty[/tex].

Hence, the expression is defined at All real number except b = 10

Answer:

false

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes, M is the midpoint of AB.

The length of the whole line AB is 44. So, if any midpoint is drawn on it, The two parts of the line will be equal and half of the total lines measure.

Whole line's measure = AB = 44

If any Midpoint say "M" is drawn on it, the measures of divided line would be halved.

AM = BM = 44/2 = 22

Answer:

1. x = 32°

2. x = 28°

3. x = 15°

4. x = 30°

5. x = 40°

6. x = 20°

Step-by-step explanation:

All the angles should add up to 90° as they are complementary.

Answer:

[tex]6x^2-3x[/tex]

Step-by-step explanation:

[tex]3x(2x-1)[/tex]

[tex]3x(2x)+3x(-1)[/tex]

[tex]6x^2+-3x[/tex]

After apply distributive property, required solution is,

⇒ 6x² - 3x

We have tp given that,

An expression to simplify,

⇒ 3x (2x - 1)

We can simplify it by distributive property,

⇒ 3x (2x - 1)

⇒ 3x × 2x - 3x × 1

⇒ 6x² - 3x

Therefore, The required solution is,

⇒ 6x² - 3x

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Answer:

Step-by-step explanation:

We have,

Mean = Σx/n

or 12= (m+n+s+p+q)/5

or, m+n+s+p+q = 60 ...........(i)

Again,

New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]

or, New Mean = {(m+n+s+p+q)+13}/5

or, New Mean = (60+13)/5 = 73/5 [from eq (i)]

∴ New Mean = 14.6 Ans.

Answer:

17

Step-by-step explanation:

There are a total of 39 students.

students.

The number of students that play football is twice as much as the number of students that play volleyball.

Let the number that plays volleyball be x then the number that plays football will be 2x. This we have

x + 2x = 39

3x = 39

x = 13

The total number that plays volleyball is 13.

The total number that plays football will be 2 x 13 = 26

Since 9 students play both sports, the number of students that plays only football will be 26 - 9 = 17.

Answer:  17.8 yds

Step-by-step explanation:

The length of the arc of the ENTIRE circle is the circumference (C = 2πr).

We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.

The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]

Given r = 17, θ = 60°

[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]

3,750 yearly

Step-by-step explanation:

25000 wolves x 15% yearly =

25000 + 3750 yearly = 28750 1st year account

Answer:

D

Step-by-step explanation:

Answer:

25/8

Step-by-step explanation:

Given That:

R = 8x+4y

X= 8

R = 30.

So, 8 x 8 +4y = 30

Simplify, Rearrange and solve.

64 + 4y = 30

4y = 30/64 = 15/32

y = 15/32 divided by 4

y = 15 / 32 x 1/4

y = 15/(32 x 4) = 15/128

hope this helps

Answer:

B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.

Step-by-step explanation:

Answer:

The sum after the second year is rs.4752

Step-by-step explanation:

The interesting thing about solving for compound interest problems is understanding that the principal changes every year.

To solve this problem, we will break it into two years and solve for each year, so we can obtain the final sum to be paid at teh end of the second year.

Please note:

P = principal {the original sum invested}

R = rate of interest.

T= time required to pay back

Sum after the First Year:

Interest = [tex]\frac{P \times R \times T}{100}=\frac{4000 \times 8 \times 1}{100}=320[/tex]

Therefore his money after the first year is got by adding the interest of 320 to the initial principal which will givers. 4320.

After the first year, the money that will be used to calculate the new interest paid will be this rs.4320 obtained at the end of the first year.

Sum after the second Year

Interest =[tex]\frac{P \times R \times T}{100}=\frac{4320 \times 10 \times 1}{100}=432[/tex]

Sum = 4320+432 = rs.4752

Hence, the sum after the second year is rs.4752

Answer:

3. [tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]

4. [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of [tex]\overline{AE}[/tex]: Reason;  [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Definition of midpoint

Step-by-step explanation:

3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles

MNOP is a parallelogram: Reason; Given

[tex]\overline{PM}\left | \right |\overline{ON}[/tex] : Reason; Opposite sides of a parallelogram

∠NOM ≅ ∠OMP: Reason Alternate interior angles

[tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Opposite sides of a parallelogram

∠NMO ≅ ∠MOP: Reason Alternate interior angles

[tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]

4. [tex]\overline{AB}\left | \right |\overline{DE}[/tex] : Reason; Given

∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm

∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm

C is the midpoint of  [tex]\overline{BD}[/tex]: Reason; Given

[tex]\overline{BC}[/tex] = [tex]\overline{CD}[/tex]: Reason; Definition of midpoint

Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem

[tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of [tex]\overline{AE}[/tex]: Reason; Definition of midpoint

Answer:

5

Step-by-step explanation:

Work Shown:

L = (0,1)

N = (6,1)

m = slope of LN

m = (y2-y1)/(x2-x1) is the slope formula

m = (1-1)/(6-0)

m = 0/6

m = 0

Points L and N are on the same horizontal level, so line LN is horizontal and completely flat. We can see this by noting the y coordinates are both the same. All horizontal lines have a slope of 0 to indicate no change in y value (ie, no change in rise; no increase nor decrease)

Answer:

[tex]g =7^{2} -w^{2}[/tex]

Step-by-step explanation:

[tex]w = 7 -\sqrt{g} \\re arrange\\\sqrt{g} = 7-w\\square both side\\\sqrt{g}) ^{2} =(7-w)^{2} \\g = 7^{2} -w^{2}[/tex]

Answer:

Hope this helps. Good luck

Step-by-step explanation:

The number of adult tickets sold was  30 tickets

The first step is to write out the parameters given in the question;

Adult ticket sold at the concert is at the price of $8

Student tickets sold cost $5

A total of 70 tickets were sold at $440

Therefore the number of adult tickets sold can be calculated as follows;

= 8(5)

= 40

70-40

= 30

Hence the number of adult tickets sold is 30 tickets

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Answer:

Dear user,

Answer to your query is provided below

Pages full = 13

Card on last page = 1

Step-by-step explanation:

Rafael has 118 baseball cards.

Each album can hold 9.

So, using multiples of 9 or by dividing 118/9

That 1 is remainder.

So, cards on last page is 1

Verify ,

Pages full = (118-1)/9 = 13

Answer:

1) 5.9

2) 8.1

3) 54

Step-by-step explanation:

A is opposite, so we have sine 36=a/10

sine 36(10)=a

a=5.9

B is adjacent, so we have cosine 36=b/10

cosine 36(20)=b

b=8.1

Angles of a triangle add to 180

we have a angle of 36 and a right angle which is 90

36+90=126

180-126=54

Answer:

three-fifths times a number is 15

Step-by-step explanation:

let the unknown number be x

based on the answer above:

3/5 × x = 15

3/5x = 15

Answer: C is the correct answer

Step-by-step explanation:

Answer:

Area = 110 cm²

Step-by-step explanation:

You can find the area of a regular pentagon by finding the area of one of the triangles created by its central angle and multiplying it by 5.

1. Use the formula for the area of a triangle to find the area of the triangle formed by its central angle.

[tex]A = \frac{1}{2} bh\\\\A = \frac{1}{2}8(5.5)\\\\A = \frac{1}{2}44\\\\A = 22[/tex]

2. Multiply this area by 5 to get the area of the entire pentagon.

A = 22(5)

A = 110

Answer: -7

Step-by-step explanation:

-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3