How many ways can the numbers 1-100 be arranged

Answer: $179.70

Step-by-step explanation:

The simple interest will be:

= (Principal × Rate × Time) / 100

= ($6000 × 5.99% × 5) / 10

= ($6000 × 0.0599 × 5) / 10

= $1797 / 10

= $179.70

Therefore, the total interest on the loan is $179.70

The smallest value of x that gives a positive length and width is x = 10√(35)/7 - 3.

The term "volume" describes how much space a three-dimensional object occupies.

It is usually measured in cubic units such as cubic meters, cubic feet and cubic centimeters.

The volume of an object can be calculated by multiplying the  length, width and height of the object, or using other formulas depending on the shape of the object.

Let L and W be the length and width of the  base of the rectangle, and let x be the height of the surface of each triangle. The volume of the prism  can then be expressed as:

V = (1/2)(LW)(2x)(LW)(3) = 105

Simplifying and solving  LW, we get:

LW = 70/x9

Since the base of a rectangular prism is a rectangle, we know that L and W must be positive. Therefore,  we can apply the AM-GM inequality to minimize LW:

LW/2 = [(LW)/2]² andlt;= L²W²/16

Multiplying both sides by 4 and taking the square root, we get:

LW <= 2√35

Substituting this inequality into the above LW expression gives:

70/x 9 andltt; = 2√35

Solving for x, we get:

x >= 10√35/7 – 3

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Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

Answer:

Diameter = 53.41 m

Step-by-step explanation:

2517/15 = 167.8 (circumference)

D=(C/pi)

C/pi = 53.41

D= 53.41

The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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Answer:

Multiplication -- > 6 × 3 - 8

Division --> (4 + 3)/2

Subtraction --> 4 - 5  + 7

Addition --> 15 + 8 ÷ 4 - 6

Answer: y=pi-3

Step-by-step explanation:

2pi=2y+6

2pi-6=2y

(2pi-6)/2=y

pi-3=y

y=pi-3

hope this helped

Answer:

how  to find the mean: add all your values together then divide them by how many numbers u added

example:

5,7,9,9,10

add= 40

divide by 5, we have 5 values = 8

Answer:

\(i\)

Step-by-step explanation:

\(\sqrt{-1} =i\)

\(i\)  is an imaginary number that represents the square root of -1.

Answer:

1. 100 000, 89 000, 67 000, 55 000

2. 45 678, 34 567, 23 456, 12 345

3. 98 765, 87 654, 76 543, 65 432-

Volume of wheelbarrow , V = 2 1/2 ft³ = 5/2 ft³.

Volume of soil in wheelbarrow , \(v = \dfrac{5}{3}\ ft^3\) .

Mass of soil in wheelbarrow , m = 75.25 pounds.

Now, volume left , \(v'=\dfrac{5}{6}\ ft^3\) .

Let, mass of  soil un wheelbarrow is x.

\(x=\dfrac{\dfrac{5}{6}\times 75.25}{\dfrac{5}{3}}\\\\x=37.625\ pounds\)

Hence, this is the required solution.

Answer:

The slope is 0, then the line is horizontal.

y = 6

Step-by-step explanation:

~fractions

=============

5/6

= 5 ÷ 6

= 0,83333333333

rounded to

= 0,833 ✔️

~ nice to help you ^^

Answer:

⅚ = ...

= 5 ÷ 6

\( \approx \bold{0.833}\)

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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Answer:

There will be 66 bacteria in 8 hours.

Step-by-step explanation:

The number of bacteria after t hours is given by the following formula.

\(P(t) = P(0)(1-r)^{t}\)

In which P(0) is the initual number of bacteria and r is the decay rate.

Researchers recorded that a certain bacteria population declined from 750,000 to 250 in 48 hours after the administration of medication.

This means that \(P(0) = 750000, P(48) = 250\)

We use this to find r. So

\(P(t) = P(0)(1-r)^{t}\)

\(250 = 750000(1-r)^{48}\)

\((1-r)^{48} = \frac{250}{750000}\)

\(\sqrt[48]{(1-r)^{48}} = \sqrt[48]{\frac{250}{750000}}\)

\(1-r = 0.84637\)

So

\(P(t) = 750000(0.84637)^{t}\)

How many bacteria will there be in 8 hours?

8 hours from now, in this context, is 8 + 48 = 56 hours. So this is P(56).

\(P(56) = 750000(0.84637)^{56} = 65.83\)

Rounding to the nearest number

There will be 66 bacteria in 8 hours.

Answer:

197,488

Step-by-step explanation:

This problem requires two main steps. First, we must find the unknown rate, k. Then, we use that value of k to help us find the unknown number of bacteria.

Identify the variables in the formula.

AA0ktA=250=750,000=?=48hours=A0ekt

Substitute the values in the formula.

250=750,000ek⋅48

Solve for k. Divide each side by 750,000.

13,000=e48k

Take the natural log of each side.

ln13,000=lne48k

Use the power property.

ln13,000=48klne

Simplify.

ln13,000=48k

Divide each side by 48.

ln13,00048=k

Approximate the answer.

k≈−0.167

We use this rate of growth to predict the number of bacteria there will be in 8 hours.

AA0ktA=?=750,000=ln13,00048=8hours=A0ekt

Substitute in the values.

A=750,000eln13,00048⋅8

Evaluate.

A≈197,488.16

At this rate of decay, researchers can expect 197,488 bacteria.

I think you meant false because all of them are right except for 1/2 is less than 1/3

Answer:

this may help you.look it once

Based on the information given, it can be deduced that the milliliters of salt water is in her beaker now will be 85 millimeters.

From the breaker of salt water, we can see that the millimeters is about 25 millimeters.

Therefore, when she pours another 60 milliliters of salt water in beaker, the millimeters that she will have will be:

= 25 + 60

= 85 millimeters.

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The square root of 9 by long division method will give an answer of 3.

1: Group the digits of 9 into pairs from right to left. Since 9 is a single-digit number, we can consider it as a pair by itself.

2: Find the largest number whose square is less than or equal to the leftmost pair. In this case, the largest number whose square is less than or equal to 9 is 3.

3: Write 3 as the divisor on the left, and the quotient on the top right.

3 √ 9 |  0

4: Multiply the divisor (3) by the quotient (3), and write the result under the 9.

3 √ 9 |  0

      - 9

5: Subtract the result (9) from the leftmost pair (9), and write the difference (0) below the line.

3 √ 9 |  0

      - 9

       0

6: Bring down the next pair (0) to the right of the difference.

3 √ 9 |  0

      - 9

       0

     -----

7: Double the quotient (3) and write a blank space to the right.

3 √ 9 |  0

      - 9

       0

     -----

       0

      ?

8: Find a digit to fill in the blank space, such that when the new divisor (37) is multiplied by the digit, the result is less than or equal to the current dividend (0). In this case, the largest digit we can use is 0.

9: Write the digit (0) as the new quotient, and write the product of the new divisor (37) and the new quotient (0) below the line.

3 √ 9 |  0

      - 9

       0

     -----

       0

      0

10: Subtract the product (0) from the current dividend (0), and write the difference (0) below the line.

3 √ 9 |  0

      - 9

       0

     -----

       0

      0

      - 0

11: Since there are no more pairs to bring down, we have reached the end of the division. The square root of 9 is 3.

√9 = 3.

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There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.

We will use significance level (α) of 0.01.

Given:

Sample mean for Education students (x₁) = 88.50

Sample mean for Nursing students (x₂) = 90.25

Standard deviation for the Education student sample (s₁) = 7.5

Standard deviation for the Nursing student sample (s₂) = 8.2

Sample size for Education students (n₁) = 25

Sample size for Nursing students (n₂) = 29

The t-test statistic for two independent samples is:

t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))

t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))

t ≈ -0.8187

In this case, df = 24.

The critical value for α = 0.01 and df = 24 is approximately ±2.797.

Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.

Therefore, we fail to reject the null hypothesis.

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Answer:

D

Step-by-step explanation:

because -3/8 is also a neg- so both answers would be on the left of (0) but -3/8 would be closer to (0) than 1 so that means it would be on the right of 1

Answer:

16 units

Step-by-step explanation:

4*4

Answer:

Step-by-step explanation:

A = bh/2

4b/2 = 4

4b = 8

b = 2 units

Answer:

8 that is the answer Because

Answer: 30 degrees

Step-by-step explanation:

Hello there! :)

Divide both the numerator and the denominator by 7:

2/3

Hope it helps

Answer:

2/3

Step-by-step explanation:

14/21

Both the numbers 14 and 21 are multiples of 7

14 can be divided by 7 to give 2

21 can be divided by 7 to give 3

Dividing the numerator and denominator by 7, you end up with the simplified answer: 2/3

When proving that the opposite angles of a parallelogram are congruent, the proofs are;

B. Opposite sides are congruent.

D. Corresponding parts of congruent triangles are congruent.

The properties of a parallelogram are;

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

999.9

Step-by-step explanation:

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