Terry is saving up for a bike which costs £403.50 So far he has saved up £265.90 How much more money does he need to be able to get the bike?

Answer: Each wheel makes 437.5 revolutions in 20 mins

Step-by-step explanation:

Circumference = 2πr

Given that the radius is 40 cm

Circumference = 2π(40) = 80π cm

Find the distance traveled in 20 mins

Speed = 66 km/h

1 hour = 66 km

Rewrite hour into min

60 min = 66 km

1 min = 66 ÷ 60 = 1.1 km

Rewrite km in cm

1.1 km = 1.1 x 10,000 cm = 110,000 cm

Find the number of revolutions in 20 mins:

1 revolution = 80π cm

Number of revolution = 110,000 ÷ 80π = 437.5

Answer:

The least value of n is 17.

Step-by-step explanation:

First term (a) = 46

Second term (a + d) = 43

Third term (a + 2d) = 40

Common difference (d) = second term - first term = 43 - 46 = -3

Tn (nth term) = a + (n - 1)d

a = 46, d = -3

Tn = 46 + (n - 1)-3 = 46 + (-3n + 3) = 46 - 3n + 3 = 49 - 3n

For Tn to be negative, the product of 3 and n must be greater than 49.

Therefore, the least value of n is 17

Answer:

17

Step-by-step explanation:

AP 46, 43, 40

a₁= 46, a₂= 43, a₃=40

d= a₃-a₂= a₂-a₁= -3

aₙ= 46+(n-1)*(-3)= 46-3n+3= 49- 3n

nth term is negative, so:

So the least n=17

Answer:

sinP = 7/25

cosQ = 7/25

tanP = 7/24

cotQ = 7/24

secP = 25/7

cscQ = 25/24

Step-by-step explanation:

sin∅ is opposite over hypotenuse

cos∅ is adjacent over hypotenuse

tan∅ is opposite over adjacent or sin∅/cos∅

csc∅ is hypotenuse over opposite or 1/sin∅

sec∅ is hypotenuse over adjacent or 1/cos∅

cot∅ is adjacent over opposite or cos∅/sin∅

Since triangle RQP is a right triangle, we can use trig and Pythagorean Theorem: a² + b² = c²

The missing side length RQ after we use Pythagorean Theorem would be 7.

From there, we can find the trigonometric values.

Answer:

Step-by-step explanation:

When we have a number that appears

right before a variable, it means multiplication.

So 4n means the same thing as 4 times a number.

Remember, n is a variable which is just a

letter that represents any number.

Since we are adding 3 to 4n, we can say

4 times a number increased by 3.

So 4n + 3 can be written as 4 times a number increased by 3.

The product is 4n, then the added +3.

4n + 3

4 × n + 3

So the verbal expression can be said as:

''The product of four times a number 'n' added with 3.''

Answer:

D.

Step-by-step explanation:

So angle 2 = 180 - angle 1

Angle 1 = angle 3 + angle 4.

Angle 2 = 180 - angle 3 - angle 4

So, you can come to the conclusion that (angle 1 + angle 2) = 180°

and (angle 3 + angle 4 + angle 2) = 180°

Answer:

Step-by-step explanation:

Since none of the answer choices match the drawing of the gardener, we assume the question is referring to the drawing of the partner.

The gardener's drawing is 1/4 of actual size. So, in terms of the gardener's drawing, actual size is ...

  gardener's drawing = (1/4)actual size

  actual size = 4(gardener's drawing)

__

The partner's drawing is 1/20 of actual size, so is ...

  partner's drawing = actual size/20 = (4(gardener's drawing))/20

  partner's drawing = (4/20)(gardener's drawing)

  partner's drawing = (gardener's drawing)/5

__

Then the {length, width} of the partner's drawing are ...

  partner's drawing {length, width} = {15 in, 10 in}/5 = {3 in, 2 in}

The partner's drawing has a length of 3 inches and a width of 2 inches.

Answer:

Option D

Step-by-step explanation:

All the other expressions are correct but in Expression 3 , Sarah incorrectly multiplied 1/2(-6) while destroyed whole of her answer. She forgot to make 3 negative.

Answer:

m<M = 113 deg

m<N = 61 deg

Step-by-step explanation:

In an inscribed quadrilateral, opposite angles are supplementary.

m<M + m<K = 180

m<N + m<L = 180

m<M + 67 = 180

m<M = 113

m<N + 119 = 180

m<N = 61

Answer:

x=-3+7y

Step-by-step explanation:

add 7y to both sides then divide by 6 to get x by itself,you end up with x=-3+7y

Answer:

x=7y/6-1/3

Step-by-step explanation:

You have 6x -7y = -2 add 7y on both sides

6x = 7y -2 divide by 6

x=7y/6-1/3

Answer:

[tex]F=\frac{K Q1Q2}{d^2} \\[/tex]

Step-by-step explanation:

According to coulombs law "the force of attraction or repulsion between two charges Q1 and Q2 in a given medium is directly proportional to the product of their charges and inversely proportional to the square of the distance separating them"

[tex]F=\frac{K Q1Q2}{d^2} \\[/tex]

where

k = constant of proportionality ([tex]9.05*10^9[/tex])

Answer:

it is c

Step-by-step explanation:

Answer:

x = 52

Step-by-step explanation:

You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52

Answer:

10

Step-by-step explanation:

i have no flipping i think im wrong

Answer:

Adult 36

Children 9

senior 27

Step-by-step explanation:

We have 3 types of tickets as seen from the question;

Adult, children and seniors tickets.

Now, looking at the question critically,

Since the ratio of adults to children and senior citizens stands at 4: a specific value, we can then conclude that the ratio of tickets sold is 4:1:3

where 1 and 3 represents the ratio for the children and seniors respectively

So let’s calculate the individual ratio now.

For the total, we have 4 + 1 + 3 = 8

Thus, for the adults, we have 4/8 * 72 = 36

For the children, we have 1/8 * 72 = 9

For the seniors, we have 3/8 * 72 = 27

Answer:

x = -1

Step-by-step explanation:

4x + 4 = 0

Subtract 4 on both sides.

4x = 0 - 4

4x = -4

Divide both sides by 4.

x = -4/4

x = -1

Answer:

So the value of x is -1

Step-by-step explanation:

4x+4=0

Subtracting 4 on both sides

4x+4-4=0-4

4x=-4

Dividing 4 on both sides

x=-4/4

x=-1

Answer:

Translation

Step-by-step explanation:

Answer:

D. Rotation then translation

Step-by-step explanation:

Answer:

16ft

Step-by-step explanation:

Each side is 2 units long, 2^4 or 2x2x2x2 is 16.

Answer:

1) B

2) D

3) A

4) B

Step-by-step explanation:

We use a closed/filled in dot in math to represent an inequality where we have ≤ or ≥ and an open dot when its < or >. This is to represent that from the inequality we are also including the = component of the inequality.

After you know this, its pretty simple to work out which way the numbers go on the number line when its greater or less than depending on the question

Answer: A—f(x)=1/(x-3)(x+3)

Step-by-step explanation:

The given graph is of the function :    

[tex]F(x) = \dfrac{1}{(x-3)(x+3)}[/tex]  
Hence, option (A) is correct.

Let’s draw the graphs for all the given options:

For option(A):

[tex]F(x) =\dfrac{ 1}{(x-3)(x+3)}[/tex]

For option (B):

[tex]F(X) = \dfrac{(x+3)}{(x-3)}[/tex]

For option(C):

[tex]F(x) = \dfrac{1}{x(x-3)}[/tex]

For option (D):

[tex]F(x) = \dfrac{1}{x(x-3)(x+3)}[/tex]

From all the attached graphs, we can infer that  the given graph is of the function   [tex]F(x) = \dfrac{1}{(x-3)(x+3)}[/tex]. This function is defined for all real numbers except x = 3 and x = -3. With having two vertical asymptotes at x = 3 and x = -3 because denominator is zero for these values. Here the degree of the numerator is 1 which is less than the degree of the denominator which is 2, there is a horizontal asymptote at y = 0 (the x-axis). As x approaches positive or negative infinity, the function approaches zero.

Hence, option (A) is correct.

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Answer:

The constant of proportionality (k) is 24

Step-by-step explanation:

if y varies inversely as x

y = k × 1/x

and y = k/x

if y = 4 and x = 6

That means 4 = k/6

and k = 4 × 6

k = 24

Answer:

Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.

Step-by-step explanation:

Cost for one year at University of Oklahoma = $20,000

Cost for 4 years = 4 × $20,000 = $80,000

Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000

Amount she needs to borrow = $80,000 - $57,000 = $23,000

Answer:

D

Step-by-step explanation:

A is not right as we don't know the formula used so we cant say the x intercept

B is not right as the function is not liner

C The function is not liner

That leaves D!

hope this helps!

Answer:

D

Step-by-step explanation:

Answer: -2, 0 and 0, 2 and 2, 4

Step-by-step explanation:

The complete table of values for y = 2x² + x are (4, -2), (0, 0) and (2, 10)

Given:

y = 2x² + x

substitute the value of x to get the corresponding value of y

when x = -2

y = 2x² + x

= 2(-2)² + (-2)

= 2(4) - 2

= 6 - 2

= 4

(x, y) = (4, -2)

when x = 0

y = 2x² + x

= 2(0)² + 0

= 2(0) + 0

= 0 + 0

= 0

(x, y) = (0, 0)

when x = 2

y = 2x² + x

= 2(2)² + 2

= 2(4) + 2

= 8 + 2

= 10

(x, y) = (2, 10)

Therefore, the corresponding values of x and y is (4, -2), (0, 0) and (2, 10)

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Answer:

[tex] - x {}^{2} - 10 = 34[/tex]

Answer:

D.

Step-by-step explanation:

The exponential function is represented by the table is,

f(x)=0.8(2^x).

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The first column is labeled x with entries negative 2, negative 1, 0, 1, 2.

The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2.

The exponential function is represented by the table is,

f(x)=0.8(2^x).

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Answer:

C. Multiply the bottom equation by 2

Step-by-step explanation:

-2x+ 4y= 10

3x- 2y =-7

We want to multiply the second equation by 2

-2x+ 4y= 10

6x- 4y =-14

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

4x +0y = -4

Answer:

C. Multiply the bottom equation by 2

x = - 1

y = 2

Step-by-step explanation:

Multiplying 3x - 2y = - 7 by 2, we get:  

- 2x + 4y = 10

6x - 4y = - 14

____________

4x = - 4

x = - 1

Putting x = - 1 in 3x - 2y = - 7, we get:

3 * (- 1) - 2y = - 7

= - 3 - 2y = - 7

= - 2y = - 7 + 3

= - 2y = - 4

= y = 2

Hope this helps!

Answer:

56.2

Step-by-step explanation:

If that is 674/12 then that's your answer

Answer:

64.5833333333333333333 = 775/12

Step-by-step explanation:

7/12 = 5.83333333333333333.

Answer:

Line Graph

Step-by-step explanation:

A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.

Answer:

B.

Step-by-step explanation:

ABC ≅ XYZ

∠A≅∠X

∠B≅∠Y

∠C≅∠Z

Also, should be

AB =XY

BC=YZ

CA=ZX

By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.

Answer B.

The probability that a student chosen randomly from the class plays basketball or baseball is 0.56. 

We are able to utilize the equation:

P(B or b) = P(B) + P(b) - P(B and b)

where

B speaks to playing ball

and b speaks about playing baseball.

From the given data, we have:

P(B) = 5/27 (the likelihood of playing ball)

P(b) = 12/27 (the likelihood of playing baseball)

P(B and b) = 2/27 (the likelihood of playing both sports)

Substituting these values into the equation, we get:

P(B or b) = P(B) + P(b) - P(B and b)

= 5/27 + 12/27 - 2/27

= 15/27

= 5/9

Hence, the likelihood that an understudy chosen haphazardly from the course plays ball or baseball is 5/9 or around 0.56. 

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