A shop sells bottles of mango juice for
£1.80, but will take 20% off the total
cost when you buy more than 20
bottles. How much does it cost, in
pounds (£), to buy 40 bottles of
mango juice?

Answer:

This is a complementary angle, which adds up to 90 degrees

8x + 7x = 90

15x = 90

x = 6

Answer:

angles 4 is 88 degrees

Angles 3 is 92 degrees

Step-by-step explanation:

all 3 of angles of a triangle equal 180

47+45=92

180-92=88

Angles 4 is 88 degrees

Now since 3 is on a flat plane next to 4 we subtract 88 from 180 to find angle 3

180-88=92

92 degrees is angle 3

Hopes this helps please mark brainliest

38 grams is equal to option d 1.3376 ounces.

Given,

We have to convert 38 grams to ounces

1 gram = 0.0352 ounce

Difference between ounce and gram;

In the United States and a few other nations, i.e., anyplace that is not metric, ounces are the main unit of mass used. It turns out that 1 ounce has a lot more mass than 1 gram if you're wondering how an ounce and a gram compare. In actuality, 28.35 grams are almost equal to 1 ounce.

Here,

1 gram is given as 0.0352 ounce

We have to convert 38 grams

Then,

38 x 0.0352 = 1.3376 ounces

That is,

38 grams is equal to option d 1.3376 ounces.

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Answer:

1.3376

Step-by-step explanation:

i did the 3.06 test and got it right

Answer:

B

Step-by-step explanation:

No, because for x = 7, there are two values of y

Answer:

[tex]\huge\boxed{\sf No.}[/tex]

Step-by-step explanation:

For a relation to act as a function, the x-values (domain) of the relation should NOT be repeated.

Here,

In domain(x-values), 7 is being repeated. Hence, the relation is not a function.

[tex]\rule[225]{225}{2}[/tex]

Answer:

9

Step-by-step explanation:

4 * 2 + 3 - 2 =

= 8 + 1 =

= 9

The following are needed to find p-value for hypothesis test:

The p value is a number calculated from a statistical test that describes the likelihood of finding a specific set of observations if the null hypothesis is true. P values are used in hypothesis testing to help determine whether the null hypothesis should be rejected.

Given the probability distribution of the statistic, p-values are calculated as the difference between the observed value and a chosen reference value, with a greater difference between the two values corresponding to a lower p-value.

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This is the way to find the p value that is required in a hypothesis test:

The likelihood of receiving outcomes from a statistical hypothesis test that are at least as extreme as the actual results, assuming the null hypothesis is true, is known as the p-value in statistics.

The p-value provides the minimal level of significance at which the null hypothesis would be rejected as an alternative to rejection points. The alternative hypothesis is more likely to be supported by stronger evidence when the p-value is lower.

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The equation of the graph is (d) y =sec(x)

The graph represents the given parameter

From the graph, we have the following points that can be used in our computation:

(0, 1), (6, 1) and (-6, 1)

This means that

When x = 0, 6 and -6 π radians

The value of y is 1

Solving further, we test these input values in each of the functions in the options

We have

y = sec(0) = 1

y = sec(6) = 1

y = sec(-6) = 1

See that the above values correspond to (0, 1), (6, 1) and (-6, 1)

Hence, the equation is (d) y =sec(x)

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The required, example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.

Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.

Here,
Being "underwater" on a car means owning more on a car than it is currently worth.

Based on the given options, the example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.

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The annual percentage yield (APY) is equal to 58.2%.

In Mathematics, annual percentage yield (APY) can be defined as the effective (real) rate of interest that is earned by an individual or business organization on an investment over a period of one year.

Generally speaking, annual percentage yield (APY) is calculated by considering the effect of compound interest. Mathematically, annual percentage yield (APY) can be calculated by using this formula:

Annual percentage yield (APY) = (1 + r/n)^{n} - 1

Where:

Substituting the given parameters into the formula, we have;

Annual percentage yield (APY) = (1 + 0.057/4)^{4} - 1

Annual percentage yield (APY) = (1 + 0.01425)^{4} - 1

Annual percentage yield (APY) = (1.01425)^{4} - 1

Annual percentage yield (APY) = 1.0582 - 1

Annual percentage yield (APY) = 0.0582.

Annual percentage yield (APY) = 58.2%.

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By the properties of logarithm , the condensed form of the given expression is  [tex]A=log(\frac{xz^{4} }{y^{0.5} } )[/tex]

What is Logarithm?

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

Given data ,

[tex]A = log ( x ) - ( 1/2 ) log ( y ) + 4 log( z )[/tex]

Now ,

From log Aⁿ = n log A

[tex]( 1/2 ) log ( y ) = log(y)^{1/2}[/tex]

[tex]( 1/2 ) log ( y ) = log(y)^{0.5}[/tex]

And ,

[tex]4 log( z ) = log(z)^{4}[/tex]

So , the A becomes ,

[tex]A = log ( x ) - log(y)^{0.5} + log(z)^{4}[/tex]

From log A + log B = log AB

[tex]log ( x ) + log(z)^{4} = log(xz^{4} )[/tex]

So , the equation A becomes ,

[tex]A=log(xz^{4} )- log(y)^{0.5}[/tex]

From log A − log B = log A/B

[tex]A=log(xz^{4} )- log(y)^{0.5}[/tex]

[tex]A=log(\frac{xz^{4} }{y^{0.5} } )[/tex]

Hence , the expression [tex]A = log ( x ) - ( 1/2 ) log ( y ) + 4 log( z )[/tex]  can be simplified into a single logarithm as [tex]A=log(\frac{xz^{4} }{y^{0.5} } )[/tex]

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The ratios were calculated using the square footage each department occupied and the overhead expenses split equally between the two departments.

                           Ratio      Amount

Department A       1/5        $10,000

Department B      4/5       $40,000

Ratio;-

Ratios can be represented using fractions, decimals, and percentages because they are fractional numbers.

Similar to proportions, ratios display how much of one value or variable fits within another.

Total overhead = $50,000

Department   Square Feet  Ratio    Amount of Overhead Allocated

Dept. A            20,000         A = 1      B = $10,000 ($50,000 x 1/5)

Dept. B            80,000         C = 4     D = $40,000 ($50,000 x 4/5)

Ratios = 20,000:80,000

= 1:4

Sum of Ratios = 5

As a result, Department A will suffer $10,000 while Department B will receive $40,000 based on the cost driver allocation ratios.

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Step-by-step explanation:

y-3=5/3(x+6)

y-3=5/3x+10

y=5/3x+13

No further work can be done.

The required equation in slope-intercept form is given as y = 5/3x + 13.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Slope intercept form is given as y = mx + c, where m is the slope of the line and c is y-intercept of the line.

Here,
Given equation,

y − 3 = 5/3(x + 6)

Following distributive Property
y - 3 = 5/3x + 5/3(6)

Following Simplification,
y - 3 = 5/3x + 5(6/3)
y - 3 = 5/3x + 10

Addition 3 on both sides,
y - 3 + 3 = 5/3x + 10 + 3
y = 5/3x + 13

Thus, the required equation in slope intercept form is given as y = 5/3x + 13.

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The amount of  her first monthly mortgage payment is amortization is: $99.55.

First step is to find the down payment:

Down payment = $125,000 -$25,000

Down payment = $100,000

Second is to find the remaining mortgage

Mortgage = $100,000 × 6%

Mortgage = $6,000

Third step is to find the mortgage payment per  month

Mortgage = $6,000 /12 months

Mortgage = $500

Now let find the amortize mortgage payment

amortize mortgage payment = $599.55 -$500

amortize mortgage payment  =$99.55

Therefore the amortize payment is $99.55.

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The equation that can help the student to determine his time is t = 10 / s.

The student lives 10 miles from school. He is trying to calculate the time it takes him to drive to school, t, as a function of the speed in which he drives, s.

The equation that the student can use to determine time can be represented as follows;

The speed formula can be defined as the rate at which an object covers some distance.

speed = distance / time

where

distance = 10 miles

t = time

s = speed

Hence,

speed = distance / time

time = distance / speed

Therefore, the equation is  t = 10 / s

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By the concept of function, the value of g(x) obtained is

g(x) = 3f(x) is the required function

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here, from the graph, it can be seen that

g(1) = 3 and g(-1) = 3

Let g(x) = [tex]kx^2[/tex]

g(1) = 3

[tex]k(1)^2 = 3\\k = 3[/tex]

So g(x) = [tex]3x^2[/tex] = 3f(x) is the required function

Option B is correct

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Complete Question

If f(x) = x², which equation represents function g?

A. g(x)=1/3f(x)

B. g(x)=3f(x)

C. g(x)=f(1/3x)

D. g(x)=f(3x)

The diagram has been attached here

Answer:

the table of 6-8 is the values of x so starting with 0 would be 568

Answer:

slope=-5; y-int=4

Step-by-step explanation:

The slope-intercept form:

y=mx+b

m=slope b=y-int

y=-5x+4

slope=-5 y-int=4

Answer:

slope = -5; y-int= 4

Step-by-step explanation:

You find the slope by comparing the given equation to y=mx+b where m is equal to the slope.

You find the y-intercept by setting x=0 and solving for y

y=-5(0)+4

y=0+4

y=4

The ratio of the vertical lenght to the horizontal length of both triangles   from the graph is the same which is numerical equal to 1/2 and the slope of the line is 1./2.

A triangle is a plane shape that has three sides.

For triangle PRQ,

Ratio of the vertical lenght to the horizontal length of triangle PRQ(r) = Vertical length(v)/Horizontal length (h)

From the graph,

Given:

Substitute into equation 1

Similarly, for triangle SUT,

From the graph,

Given:

Substitute into equation 2

The slope the line is the same as the ratio of the vertical lenght to the horizontal length of both triangles

Therefore,

Slope of the line = 1/2

Hence, the ratio of the vertical lenght to the horizontal length of both triangles  is 1/2 and the slope is 1./2.

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A + M = 18

M = 2A + 3

This is the SoE used, hope I helped

The system of the equations are M= 2 (A + 3) and M+A = 18

One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given that Michael's age is 3 more than twice Ashley's age.

M= 2 (A + 3)

If M represents Michael's age and A represents Ashley's age.

The sum of their ages is 18.

M+A = 18

Simplifying the expression,

M= 2 (A + 3) and M+A = 18

Therefore, the system of the equations are M= 2 (A + 3) and M+A = 18

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The time taken for the rocket to reach its maximum height is; 2.25 seconds.

The maximum height reached by the toy rocket as evaluated from the given parameters is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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The cost of 15 uniform after multiplication is $1425. The team have enough amount to buy 15 softball uniforms.

What is multiplication?

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The numbers that are multiplied are referred to as the factors. Multiplying in mathematics is the addition of equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.

Here Number of uniform need by team = 15

Cost of one uniform = $95

Now , Total cost of 15 softball uniforms is,

=> Number of uniform * cost of one uniform

=> 15*95

=> $1425.

Here the team has $1500. Cost of 15 uniform is $1425.

=> 1500-1425 =$75.

After buying 15 uniforms they have remaining $75.

Therefore the team have enough money to buy softball uniforms.

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Answer:

B FS

Step-by-step explanation:

For the given function f(x) = x⁸(3-2x³) then

a. The roots of the function f(x) are x= 0 or ∛3/2.

b. When x →∞ then f(x) →∞

c. And x→-∞ then f(x) →-∞.

As given in the question,

Given function is equal to :

f(x) = x⁸(3-2x³)

a. Simplify the given function f(x) = x⁸(3-2x³) to get the roots of the f(x) we get,

f(x) =0

x⁸(3-2x³) = 0

⇒ x =0 or 3 -2x³ =0

⇒ x=0 or x = ∛3/2

b. When x → ∞

⇒x⁸ →∞ and (3-2x³) → ∞

⇒ x⁸(3-2x³) → ∞

When x →∞ then f(x) →∞

c. When x → -∞

⇒x⁸ →∞ and (3-2x³) →- ∞

⇒ x⁸(3-2x³) →- ∞

When x →-∞ then f(x) →-∞

Therefore, for the given function f(x) = x⁸(3-2x³) then

a. The roots of the function f(x) are x= 0 or ∛3/2.

b. When x →∞ then f(x) →∞

c. And x→-∞ then f(x) →-∞.

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Answer:

-2,-3

Step-by-step explanation:

only -2 or -3 will make one side equal 0 so the equation will equal 0

with -2

(-2+2)(x+3)=0

0(x+3)=0

0x+0=0

0=0

-2 works

with -3

(x+2)(-3+3)

(x+2)0=0

0x+0=0

0=0

-3 works

The number of hours June needs to work [tex]11\frac{1}{2}[/tex] hours more to reach the target.

According to the question,

We have the following information:

June wants to work [tex]14\frac{1}{4}[/tex] hours and she has already worked [tex]2\frac{3}{4}[/tex] hours.

Now, the remaining number of hours of work can be easily found by subtracting the hours worked from the total number of hours she wanted to work.

Now, converting the mixed fractions:

[tex]14\frac{1}{4} = \frac{57}{4}[/tex] hours

[tex]2\frac{3}{4} = \frac{11}{4}[/tex] hours

Number of hours she needs to work:

57/4 - 11/4

(57-11)/4

46/4

Converting this fraction into the simplest form:

23/2

Now, converting this into mixed fraction:

[tex]11\frac{1}{2}[/tex] hours

Hence, the correct option is D.

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The value of R, without rounding any intermediate values is $882.08.

Given data:

R=21,000 [0.052/4÷ (1+0.052/4)²⁰-1]

Now find the value of R

Solving for R

R=21,000 [0.052/4÷ (1+0.052/4)²⁰-1]

R=21,000 [0.013 ÷ (1+0.013)²⁰-1]

R=21,000 [0.013 ÷ (1.013)²⁰-1]

R=21,000 [0.013 ÷ (1.2947589 -1)]

R=21,000 [0.013 ÷ (0.2947589)]

R=21,000 (0.044103842)

R = $882.076

R =$882.08 (Approximately)

The value of R is $882.08.

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Answer:

Commission would be equal 270 dollars.

Step-by-step explanation:

To solve this we would use the formula:
Commission = SP x CP

Put values into the formula:
3,000 * 9%

3,000 * 9/100

30 x 9

Commission = $270

Thanks.

If ST = QR, then QR = ST by the symmetric property of congruence.

The symmetric property states that -

For all real numbers [x] and [y] , if x = y , then y = x .

Given is if ST =QR, then QR=ST.

If ST = QR, then QR = ST by the symmetric property of congruence. If ST = QR, then we can say that ST is congruent to QR.

Therefore, if ST = QR, then QR = ST by the symmetric property of congruence.

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Answer: 60miles

Step-by-step explanation:

180/3 is 60 because 60+60+60=180 so in 1 hour it would be 60miles