The formula C = P(1-d) is used to find the cost of an item that is discounted.
C represents the cost of an item after a discount. P represents the original price of an item, and d is the amount of the discount
written as a percent in decimal form.
Solve for d.
A d-1-
B d-1-2
C d=1+%
D d=-1

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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The only true statement is 2 x (4 + 2) - 6 = 14 ÷ (3.5 x 2 ) + 4.

option A.

BODMAS is an acronym that stands for "Brackets, Orders, Division, Multiplication, Addition and Subtraction".

The rule of BODMAS states that when you have a mathematical expression that involves multiple arithmetic operations, you need to perform them in a certain order. You should start by evaluating anything inside brackets or parentheses first. Then, you should work out any exponents or square roots. After that, you should perform any division or multiplication from left to right, and finally, you should perform any addition or subtraction from left to right.

If we apply the rule of BODMAS to all the given options, we would notice that only option 1 is true.

2 x (4 + 2) - 6 = 14 ÷ (3.5 x 2 ) + 4

L.H.S ⇒ 2 x (6) - 6

= 12 - 6

= 6

R.H.S ⇒ 14 ÷ (3.5 x 2 ) + 4

= 14 ÷ (7) + 4

= 2 + 4

= 6

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Answer:

2

Step-by-step explanation:

\(4-7 +7\div 7+4 \\ \\ =4-7+1+4 \\ \\ =-3+1+4 \\ \\ =-2+4 \\ \\ =2\)

Answer:

y=0.75x+3.75

Step-by-step explanation:

The slope is

\( \frac{6 - 4.5}{3 - 1} = \frac{3}{4} \)

Substituting into point-slope form,

y - 6 = 0.75(x - 3)

y - 6 = 0.75x - 2.25

y = 0.75x + 3.75

Answer:

B' = (-6,6)

Step-by-step explanation:

The coordinates of B are (-2,2)

If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)

The number of divisors counted twice is equal to the number of positive integers that have the form \($2^a\cdot 3^b\cdot 5^c$\) for some nonnegative integers a, b, and c such that and \(0 \le c \le 5\). There are \(11\cdot 11\cdot 6 = 726\) such divisors.

We will first find the prime factorization of each of the given numbers: \(\begin{align*}12^{12} &= (2^2\cdot 3)^{12} = 2^{24} \cdot 3^{12}, \10^{10} &= 2^{10} \cdot 5^{10}, \15^{15} &= (3\cdot 5)^{15} = 3^{15}\cdot 5^{15}.\end{align*}\)

For a positive integer n to be a divisor of at least one of these numbers, it must contain some combination of the prime factors 2, 3, and 5.

Any divisor of \(12^{12}\) must have the form \(2^a\cdot 3^b\)for some nonnegative integers a and b such that \(0 \le a \le 24\) and \(0 \le b \le 12.\) Therefore, there are \(25\cdot 13 = 325\)possible divisors of \(12^{12}.\)

Similarly, any divisor of \($10^{10}$\)must have the form\($2^a\cdot 5^b$\)for some nonnegative integers a and b such that \($0 \le a \le 10$\) and \($0 \le b \le 10$\). Therefore, there are \($11\cdot 11 = 121$\)possible divisors of\($10^{10}$.\)

Finally, any divisor of \($15^{15}$\)must have the form for some nonnegative integers a and b such that \($0 \le a \le 15$\) and \($0 \le b \le 15$\). Therefore, there are \($16\cdot 16 = 256$\) possible divisors of \($15^{15}$\).

We want to count the total number of positive integers that are divisors of at least one of these numbers. Notice that we have counted some divisors twice (for example, \($2^1 \cdot 3^1$\)is a divisor of both \($12^{12}$\) and\($10^{10}$)\), so we need to subtract the number of divisors that we have counted twice. Similarly, we have counted some divisors three times, so we need to add the number of divisors that we have counted three times. We have not counted any divisor four or more times, so we do not need to consider those cases.

The number of divisors counted twice is equal to the number of positive integers that have the form \($2^a\cdot 3^b\cdot 5^c$\) for some nonnegative integers a, b, and c such that \($0 \le a \le 10$\), \($0 \le b \le 5$\), and \($0 \le c \le 10$\). There are \($11\cdot 6\cdot 11 = 726$\) such divisors (we chose the exponents for 2, 3, and 5 separately).

Finally, the number of divisors counted three times is equal to the number of positive integers that

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Answer:

B. Bread ingredients

Step-by-step explanation:

I took the test on Edge 2021 :p

Answer:

B

Step-by-step explanation:

Bread ingredients

The exact values of sin θ/2 and tan θ/2 given below as:

Given that tan θ = -5/12 and θ lies between 90° and 180°, the values of sin θ/2 and tan θ/2 can be found as follows:

tan θ = -5/12

θ =  180 -tan⁻¹-(5/12)

θ = 157.38

sin θ/2  = sin 157.38/2

sin θ/2 = 0.9806

tan θ/2 = tan 157.38/2

tan θ/2 = 4.99

In conclusion, the values of the sine and tangent are found from the given values.

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Answer:2.4 isn’t occupied, whilst 13.3 is full

Step-by-step explanation: answerrr

Answer:

The slope is 1/2!!

Step-by-step explanation:

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

Answer:

i dunno what that means but i think maybe your keyboard broke so the type of letters is random??

We know that the average price of a gallon of milk in 2000 was $2.78 and that it increased by about $0.11 per year. To find the years in which the price of a gallon of milk is between $3 and $4, we can use the following inequality:

2.78 + 0.11y < x < 4

Where x is the price of a gallon of milk in a given year y, and y represents the number of years since 2000.

The inequality can also be written as:

2.78 + 0.11y < x < 4

That can be simplified as

y > (3-2.78) / 0.11 = (0.22) / 0.11 = 2

y < (4-2.78) / 0.11 = (1.22) / 0.11 = 11

So, the years in which the price of a gallon of milk is between $3 and $4 are y > 2 and y < 11

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Answer:

Both have the same flavor.

Step-by-step explanation:

They both have the same taste becasue, Lin and Noah both made the same drink, exept Noah's drink has more quantitiy.

Hope this helps you!

Answer:

the penny because, the amount is going to triple everyday which will leave you with alot more money towards the end, and I've seen this so definitely pick the penny.

Answer:

1) \(x=15, y=41\)

2) \(x=6, y=24\)

Step-by-step explanation:

1)

The two triangles are similar by AA similarity.

That means \(5x-5=4x+10\).

We can add \(5\) to both sides to get \(5x=4x+15\).

We can then subtract \(4x\) from both sides to get \(x=15\).

We know that the \((5x-5)+(6y-4)=180\)  because they both lie on a straight line.

We can plug in for \(x\) to get \((5(15)-5)+(6y-4)=75-5+6y-4=6y-66=180\).

We can divide both sides of the equation by \(6\) to get \(y-11=30\).

We then add \(11\) to both sides to get \(y=41\).

So, \(\boxed{x=15, y=41}\) and we're done!

2)

Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to \(180^{\circ}\), we have that \(90+3y+18=180\).

We can subtract a \(90\) and an \(18\) from both sides to get \(3y=72\).

We then divide both sides of the equation by \(3\) to get \(y=24\).

We do the same thing for \(x\). On the other side of the trapezoid, we have that \(15x+30+10x=180\).

We combine like terms on the left side to get \(25x+30=180\).

We subtract a \(30\) from both sides to get \(25x=150\).

We divide both sides of the equation to get \(x=6\).

So, \(\boxed{x=6, y=24}\) and we're done!

Answer:

0.19 50% 15/20 9/10 95%

Step-by-step explanation:

I know

The integral for the region R bounded by the curves y=x^2-1 and 2x=y+1 can be set up in two different ways, using the vertical cross-section (VCS)  approach. The integral is given by ∫∫R f(x,y) dA.

Using VCS:

The region R is bounded by the curves

which intersect at (1,0) and (-1,-2). To set up the integral using VCS, we integrate with respect to x, with the limits of integration being the x-coordinates of the intersection points, and the integrand being f(x,y).

The limits of integration for x are -1 to 1, and the limits for y are x²-1 to y=2x-1. Thus, the integral is:

∫ from -1 to 1 [∫ from x²-1 to 2x-1 f(x,y) dy] dx

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We need to decipher how many routes go from Eastland to Johnstown via Harping:

We have the Eastland via State to Harping via Main to Johnstown

We have the Eastland via Broadway to Harping via Main to Johnstown

We have the Eastland via State to Harping via Fairview to Johnstown

We have the Eastland via Broadway to Harping via Fairview to Johnstown

We have the Eastland via State to Harping via Park to Johnstown

We have the Eastland via Broadway to Harping via Park to Johnstown

All these mean that we have 6 routes.

We seek the probability,P of We have the Eastland via State to Harping via Fairview to Johnstown out of the whole possibilities giving the probability as

Answer:

(5y-8)^2

Step-by-step explanation:

the expression equivalent to f(p+r) is 5p + 5r.

The expression equivalent to f(p+r), where f(x) = 5x, is 5p + 5r. To understand this, we substitute (p+r) into the function f(x):

f(p+r) = 5(p+r)

Next, we distribute the 5 to both p and r:

f(p+r) = 5p + 5r

This equivalent expression arises from the definition of f(x) = 5x, where the function multiplies any given input x by 5. In this case, we substitute (p+r) into the function, resulting in 5 multiplied by the sum of p and r. Consequently, the expression 5p + 5r represents the value obtained by applying the function f to the sum of p and r. It is important to note that the function f(x) = 5x implies a linear relationship, where the function scales the input by a factor of 5.

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Answer:

17/50=0.34

1/8=0.125

2/5=0.4

2/3=0.6667

Step-by-step explanation:

The height of the cylinder is 4 feet.

The volume of a cylinder can be found as follows;

volume of a cylinder = base area × height

Therefore,

base area = πr²

volume of the cylinder = 48π ft³

base area = 12π ft²

Therefore, let's find the height of the cylinder as follows:

48π = 12π × h

divide both sides of the equation by 12π

h = 48π / 12π

h = 4 ft

Therefore,

height of the cylinder  = 4 feet

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95 x 103

= (100-5) x (100+3)

(x-a)(x+b)= x2+ x(-a+b) + ab

= 10000 - 100(2)  -15

= 9785

501 * 502

= (500+1)(500+2)

250000 + 500(3) + 2

=251502

Answer:

Width

Step-by-step explanation:

As you need two widths and two lengths and as the length is shorter than the width by 10 it is - 20 to account for that. if the x was the length then it would add 20 instead

Answer:

here is your answer 1<4

Answer:18

Step-by-step explanation: