What is the largest five-digit integer whose digits have a product equal to the product (7)(6)(5)(4)(3)(2)(1)?

We are given the following information

Leah babysits for $5 per hour and works at an ice cream shop for $8 per hour.

She wants to earn at least $120 a month.

Let x denotes the number of hours she babysits and y denotes the number of hours she works at the ice cream shop.

Then we can set up the following inequality

(at least means equal or greater than)

If Leah babysits for 7 hours this month, what is the minimum number of hours she would have to work at the ice cream shop to earn at least $120?

We have to substitute x = 7 into the above inequality

This means she needs to work at least 11 hours at the ice cream shop to earn at least $120.

Answer: NO if each one of a triangle's sides are congruent and equal then it would be considered as an equilateral

Answer:

The answer is Yes

Step-by-step explanation:Scalene triangles have infinate yards but only if the sides are equal or close to being equal

Answer:

824

Step-by-step explanation:

60976÷74

The quotient is 824

The binomial distribution is a parametric probability distribution with two parameters, X and B. For a large number of trials, n, binomial probability tends to follow a continuous normal probability distribution.

The binomial distribution is a type of probability distribution that models the likelihood of one of two outcomes given a set of parameters. It sums up the number of trials when each trial has the same chance of achieving a single outcome.

Therefore,

The following is the definition of the Binomial distribution's probability mass function:

P (X = x) = (n x)p x(1p)n x, where x = 0, 1, 2, 3,..., n

Given,

Probability of defective, p = 0.03

Number of bulbs, n = 144

(i) The required probability is P(X = 5).

P(X = 5) = (1445) 0.035(1 − 0.03)144 − 5

= 144151 × (144 − 5) 1 × 0.035(1 − 0.03)144 − 5 ≈ 0.169

Within a carton of 144 bulbs, there is a 0.169 percent chance that 5 of them will be defective.

(ii) The required probability is P(X>2).

P(X>2) = 1 − P(X≤2)

= 1 − P(X = 0) − P(X = 1) − P(X = 2)

= 1 − 144101 × (144 − 0)10.030

Then simplifying,

(1 − 0.03)144 − 0 − 14411 × (144 − 1) 10.031 (1 − 0.03)144 − 1 − 14412 × (144 − 2)10.032 (1 − 0.03)144 − 2

= 1 − 0.01245 − 0.0554 − 0.1226

= 0.810

There is a 0.810 percent chance that there will be more than two faulty bulbs in a carton of 144 bulbs.

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The exponential regression equation is y = 11.37 * 3.87ˣ

From the question, we have the following parameters that can be used in our computation:

(-4,0.05), (-3, 0.20), (-2, 0.75)

To calculate the exponential regression equation that best fits the data shown, we use a graphing tool

An exponential function is represented as

y = abˣ

From the graphing tool, we have

a = 11.37

b = 3.87

substitute the known values in the above equation, so, we have the following representation

y = 11.37 * 3.87ˣ

Hence, the exponential regression equation is y = 11.37 * 3.87ˣ

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Answer:

y = 4x - 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, - 2) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m = \(\frac{2-(-2)}{2-1}\) = \(\frac{2+2}{1}\) = \(\frac{4}{1}\) = 4

the line crosses the y- axis at (0, - 6 ) ⇒ c = - 6

y = 4x - 6 ← equation of line

Answer:

Step-by-step explanation:

See the steps below:

The value of n is 15.

Answer:

Functions can have "hills and valleys": places where they reach a minimum or maximum value. It may not be the minimum or maximum for the whole function, but locally it is.

Step-by-step explanation:

hope this helps :)

Answer:

75

Step-by-step explanation:

Count By Two's

25=2 minutes

50=4 minutes

75=6 minutes

Answer:

See below

Step-by-step explanation:

Radius (r) = 8 inches

Chord = 8 inches

Since, length of radii and chord are equal. Thus the Triangle so formed by radii and chord will be an equilateral triangle.

\(\implies \) angle subtended at the centre of the circle \((\theta)=60\degree \)

Formula for area of segment of a circle is given as:

\(A = \frac{ {r}^{2} \theta }{36 0 \degree} \pi - \frac{1}{2} {r}^{2} \sin \theta \\ \\ \implies \: A = \frac{ {(8)}^{2} ( \cancel{60 \degree)}}{ \cancel{360 \degree}} \pi - \frac{1}{2} {(8)}^{2} \sin 60\degree \\ \\ \implies \: A = \frac {64 }{6} \pi - \frac{1}{2} \times 64 \times \frac{ \sqrt{3} }{2} \\ \\ \implies \: \huge \purple{ \boxed{A = \bigg( \frac {32 }{3} \pi - 16 \sqrt{3}\bigg) }\: sq\:in}\)

The linear function that describes the distance (in miles) is therefore y = 65x + 80

We have to find the slope and the intercept in other to get the linear function

The data points are:

(1, 145) and (3, 275).

m = (y2 - y1) / (x2 - x1)

fixing the data points we have

m = (275 - 145) / (3 - 1)

= 130 / 2

= 65

y = mx + b

(1, 145):

145 = 65(1) + b

b = 145 - 65

= 80

y intercept is 80

The linear function is therefore y = 65x + 80

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The correct expanded form using Laws of exponents is:

Two-thirds times two-thirds times two-thirds times two-thirds

Some of the laws of exponents are:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Now, we want to solve the expression given as: (²/₃)⁴

When we expend this, we arrive at:

²/₃ × ²/₃ × ²/₃ × ²/₃

This among the options is Option A which is:

Two-thirds times two-thirds times two-thirds times two-thirds

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Answer:

1) Obtuse

2) Acute

3) Acute

Step-by-step explanation:

Anything under 90 degrees is an Acute angle, while anything above is an Obtuse. A 90 degree angle is a right angle.

Please Brainiest!

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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Answer:

2

Step-by-step explanation:

In algebra, you can replace the letters in an equation with whatever number they equal.

So because a = 2, we can replace the a in this formula with the number 2

We can do the same thing for the rest of these letters!

so...

a + b + c

becomes

2 + 1 + (-1)

now all we need to do is solve :)

2 + 1 + (-1)

3 + (-1)

3 - 1

2

Answer:

right π/2

Step-by-step explanation:

The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .

Therefore, the correct answer is right π/2

Answer:

20%

Step-by-step explanation:

THE ANSWER TO THE PROBLEM JS 20%

The simplified value of (2x - 4)² is 4x² - 16x + 16.

First, let us understand the algebraic identities;

Algebraic identities are equations in which the left hand side of the equation is identically equal to the right hand side of the equation.

Some of the identities are:

We are given (2x - 4)².

Use the identity (a - b)² = a² - 2ab + b² to expand to the given expression.

So, a = 2x and b = 4.

Put it into the identity, we will get;

Therefore,

(2x - 4)² = (2x)² - 2 * 2x * 4 + (4)² = 4x² - 16x + 16

Thus, the simplified value of (2x - 4)² is 4x² - 16x + 16.

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Answer:

Step-by-step explanation:

A "common factor" is either a constant coefficient or a variable which shows up in every term of a given algebraic expression.  

Here we start with the expression  12n^6 + 27n^2 - 18.  'n' does not show up in every term and thus could not be a "common factor" of this expression.  On the other hand, 12, 27 and -18 can all be divided by 3, and so 3 is a common factor.

12n^6 + 27n^2 - 18 = 3(4n^6 + 9n^2 - 6)

1)  Identify the common factor (here it's 3)

2) Factor that out of the given expression:   3(4n^6 + 9n^2 - 6)

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

c = √169

c = 13

Answer:

the answer is 13

Step-by-step explanation:

Answer:

Each person gets 7 cookies.

Step-by-step explanation:

Total cookies: 85

Total people will receive cookies: 12

\(\frac{85}{12} = 7.08\)

If we estimate it to the whole number, that means each person will get 7 cookies.

Answer:

B

Step-by-step explanation:

x cannot have any negative value, or the sum with -4 will create -5 or lower, and the corresponding absolute value is therefore larger than 3.

so, A and C are automatically out.

D can't be right, because it is an "or" condition, so, we could violate one of the conditions (like "x greater than 1"), and it would still be OK, as long as we keep the second. but that is not true, as we just ruled out negative x values.

so, only B includes the "and" condition.

it means 1 has to be less than x AND x has to be less than 7.

and that is correct.

Answer:

b

Step-by-step explanation:

Answer:179

Step-by-step explanation:

Answer:

179

Step-by-step explanation:

\(( {3}^{2} - {2}^{2} )^3 + 42 \div 6 \times {3}^{2} - 9 \\ \\ = (9 - 4)^3 + 42 \times \frac{1}{6} \times 9 - 9 \\ \\ = 5^3 + 7 \times 9 - 9 \\ \\ = 125 + 63 - 9 \\ \\ = 125 + 54 \\ \\ = 179\)

Answer:

Step-by-step explanation:

5 million teenagers do not use the internet at school.

To know the number of adolescents who do not use the Internet at school, we must do the following operations:

According to the above, it can be inferred that the number of adolescents who use the Internet outside of school is 5 million.

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Answer:

$935.76

Step-by-step explanation:

BOND VALUATION Asiana Fashion's bonds have 10 years remaining to maturity. Interest is paid annually; they have a $1,000 par value; the coupon interest rate is 8% and thebyield to maturity is 9%.What is the bond's current market price?​

Step 1

We find the Present value factor of sum

The formula =

(1 + i)^n

Where

i = maturity rate = 9% = 0.09

n = number of years = 10 years

Present Value = ( 1 + 0.09)^-10

= 0.4224

Step 2

We find the present value factor of annuity

The formula is given as:

1 - (1+i)^-n / i

i = maturity rate = 9% = 0.09

n = number of years = 10 years

= 1 - (1 + 0.09)^-10 /0.09

= 1 - 0.4224 /0.09

= 0.5775 /0.09

= 6.417

Step 3

The bond's current market price is calculated as:

= PV factor of Sum × Par Value + PV factor of annuity × coupon payment

Coupon payment is calculated as:

= Coupon interest × par value

= 8% × 1000

= 80

Hence,

= 0.4224 × 1,000 + 6.417 × 80

= 422.4 + 513.36

= 935.76

In this exercise we have to use the knowledge of finance to calculate the corrective value of the market place, in this way we find that:

\(\$935.76\)

We find the Present value factor of sum, by the formula of:

\((1 + i)^n\)

Where:

Substituting the values ​​in the formula as;

\(Present \ Value = ( 1 + 0.09)^{-10} = 0.4224\)

We find the present value factor of annuity, by the formula as:

\(1 - (1+i)^{-n} / i\)

Where:

Substituting the values ​​in the formula as;

\(= 1 - (1 + 0.09)^{-10} /0.09\\= 1 - 0.4224 /0.09\\= 0.5775 /0.09\\= 6.417\)

The bond's current market price is calculated as:

\(= PV \ factor\ of\ Sum * Par\ Value + PV\ factor\ of\ annuity * coupon\ payment\)

Coupon payment is calculated as:

\(= Coupon\ interest * par\ value\\= 8\% * 1000= 80\)

So continue the calcule;

\(= 0.4224 *1,000 + 6.417 * 80\\= 422.4 + 513.36\\= 935.76\)

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The quotient when 480 is divided by -60 is 8.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

The numbers given are 480 and -60.

Both are in opposite signs, that is one negative and other positive.

So the quotient will be negative.

Now divide 480 by 60.

Since both of the numbers contain 0 at the end, cancel it.

Then it becomes 48 divided by 6.

48 / 6 = 8

Hence the quotient is 8.

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Answer:

-3h+3z =6

multiply by-1

3h-3z=-6

3(h-z)=-6

3(3)=-6

9=-6

9+6

15