Approximate 5.7255 to the nearest thousandth

Answer:

w+3=14

Step-by-step explanation:

The length is 3 more than the width, and more can be expressed as a plus sign, so w+3=14.

Answer:

[tex]8p^2-\frac{12}{5}p^2+\frac{6}{25}p-\frac{1}{125}=\frac{(p+\frac{11}{140})(p+\frac{1}{125})}{125}[/tex]

Step-by-step explanation:

You have the following polynomial:

[tex]8p^2-\frac{12}{5}p^2+\frac{6}{25}p-\frac{1}{125}[/tex]          (1)

In order to obtain the factors of the previous polynomial, first you can multiply the polynomial for 125 to obtain only integer coefficients, but also you have to divide for 125, as follow:

[tex](8p^2-\frac{12}{5}p^2+\frac{6}{25}p-\frac{1}{125})\frac{125}{125}\\\\=\frac{1000p^2-300p^2+30p-1}{125}[/tex]  

[tex]=\frac{700p^2+30p-1}{125}[/tex]            (2)

Next, you use the quadratic formula to get the factors of the numerator of the previous expression:

[tex]p_{1,2}=\frac{-30\pm\sqrt{(30)^2-4(700)(-1)}}{2(700)}\\\\p_{1,2}=\frac{-30\pm 80}{1400}\\\\p_1=-\frac{11}{140}\\\\p_2=-\frac{1}{28}[/tex]

The factors are (p-p1) and (p-p2), then you have in the equation (2) the following factorization:

[tex]8p^2-\frac{12}{5}p^2+\frac{6}{25}p-\frac{1}{125}=\frac{(p+\frac{11}{140})(p+\frac{1}{125})}{125}[/tex]

Answer:

correct choice is C  ( ,∞).

Step-by-step explanation:

A set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy. In your  case, the set builder notation  {x l x > } means that the set consists of all elements that are greater than.

Consider number line. Plot the point as unfilled circle that goes after > sigh and shade the ray that goes from this point to the right. Then another way to represent this solution is

Answer:

c) (two-thirds, ∞)

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

given:

3/4 = x/10    (multiply both sides by 10)

(3/4)(10) = x

x = 30/4

x = 7.5

The value of x is 7.5

Given:

The proportion 3/4 = x/10

3/4 = x/10

30 = 4x

30/4 = x

7.5 = x

Therefore, the final answer is 7.5.

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Answer:

She found 19 pennies and 21 dimes

Step-by-step explanation:

Let the number of dimes present be d and the number of pennies present be p

From the question, the total of both is 40

Mathematically;

p + d = 40 •••••••(i)

While a penny worths 1 cent, a dime is worth 10 cents

Total penny amount would be 1 * p = p cents

While total dime amount would be 10 * d = 10d cents

Before we add both to give the total amount, let’s convert this total amount to cents and that would be 2.29 * 100 = 229 cents

So mathematically;

p + 10d = 229 •••••••(ii)

So let’s solve both equations simultaneously

From i) p = 40 - d

let’s put this into equation ii

40 - d + 10d = 229

40 + 9d = 229

9d = 229-40

9d = 189

d = 189/9

d = 21

Recall;

P = 40-d

P = 40-21

P = 19

Answer:

a) 896 ways

c) 910 ways

Step-by-step explanation:

The question is a combination problem since it has to do with selection. In combination, if r object is selected from a pool of n objects, this can be done in nCr ways.

nCr = n!/(n-r)!r!

If from a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed, we need to first calculate the total committee formed without any condition.

8C3 × 6C3

= 8!/5!3! × 6!/3!3!

= 8×7×6×5!/5!×6 × 6×5×4×3!/3!×6

= 56×20

= 1120ways

Now if;

a) two of the men refuse to serve together.

Since two men refuse to serve together, we will select 1 man from remaining 4 men since two has already been selected then select 3 from 8 women as shown.

4C1×8C3

= 4×56

= 224ways

Number of ways this can be done will be 1120-224 = 896ways

b) 1 man and 1 woman refuse to serve together

We need to choose 2 men from remaining 5 and 2 women from the rest of the men which is 7 as shown:

= (8-1)C(3-1) × (6-1)C(3-1)

= 7C2 × 5C2

= 7!/5!2! × 5!/3!2!

= 7×6×5!/5!×2 × 5×4×3!/3!×2

= 21×10

= 210ways

The number of ways this can be done will be 1120-210 = 910ways

Answer:

$2.3

Step-by-step explanation:

6oranges=2.76$

5oranges=?

5×2.76/6.

=$2.3

Answer:

D

Step-by-step explanation:

you can put the function in your graphing calculator & the x-intercept is where the line crosses threw the line that goes left & right vise versa for the y-intercept.

Answer:

(-1,6)

Step-by-step explanation:

y=-x+ 7

Let x = -1

y = -1+7

y = 6

Answer:

4021 cm^3

Step-by-step explanation:

The volume of a cylinder can be found using the following formula.

[tex]V=\pi r^2h[/tex]

where r is the radius and h is the height.

We know the cylinder has a height of 20 centimeters and a diameter of 8 centimeters.

h= 20 cm

d= 8 cm

Substitute these values into the formula.

[tex]V=\pi (8 cm^2) * 20 cm[/tex]

First, evaluate the exponent.

8 cm^2= 8 cm * 8 cm= 64 cm

[tex]V=\pi * 64 cm^2*20 cm[/tex]

Multiply 64 cm^2 and 20 cm

[tex]V=\pi *1280 cm^3[/tex]

Multiply 1280 cm^3 and pi

[tex]V=4021.2386 cm^3[/tex]

Round to the nearest cubic centimeter. The 2 in the tenth place tells us to leave the number as is.

[tex]V= 4,021 cm^3[/tex]

The volume is about 4,021 centimeters^3.

The approximate volume of the tube is 1005 cm³.

A cylinder is a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.

Given that a cardboard cylinder has a diameter of 8 centimeters and a height of 20 centimeters, we need to find the volume of the cylinder,

The volume of the cylinder = π × radius² × height

Radius = diameter / 2 = 8/2 = 4 cm

Therefore,

Volume = π × radius² × height

= 3.14 × 4² × 20

= 3.14 × 16 × 20

= 1004.8 ≈ 1005

Hence, the approximate volume of the tube is 1005 cm³.

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Answer:

59.65

Step-by-step explanation:

2 decimal places is to the hundredths place.

Answer: 59.65

Step-by-step explanation: When rounding a number to a given place, look at the next place y o the right. If that digit is 5 or more, "round up" by adding one to the given place.

If the number to the right is 4 or less, leave the given place "as is"

In this example, the hundredths place is 4, the place to the right has an 8. So you round up the 4 to a 5. You end up with 59.65

Complete Question:

The number of text messages that Reza sent each day so far in this billing cycle is shown on the dot plot.

Which statement must be true according to the dot plot?

A) The data is symmetric and shows that he typically sent about 6 to 8 text messages per day.

B) The data is symmetric and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.

C) The data is skewed and shows that he typically sent about 6 to 8 text messages per day.

D) The data is skewed and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts

*Check attachment for the dot plot referred to

Answer:

A. The data is symmetric and shows that he typically sent about 6 to 8 text messages per day

Step-by-step explanation:

Taking a look at the dot plot given in the attachment below, we can observe that most of the data set are concentrated in the middle of the dot plot than both ends of the dot plot. With this, we can infer that the distribution of the data is symmetric.

The dot plot also tells us that, 6 and 8 text messages have more frequency than any other data set on the dot plot. This also suggests that Reza usually sends 6 to 8 messages in a day.

Therefore, the statement that is true about the dot plot is:

"A. The data is symmetric and shows that he typically sent about 6 to 8 text messages per day"

Answer:

A

Step-by-step explanation:

Answer:

I can't make a table here but I will try my best to seperate the numbers in groups

4.5 -34.5   :   8,17,23,27,10,23,23,27,5,27

34.5 -64.5   :  61,46,42,46,35,46,46,42,46

64.5 -94.5   :   84,88,65,65,65,84

Step-by-step explanation:

In this question there are three categories of intervals and a set of numbers. Essentially, the question wants you to seperate the numbers within each category of interval. I could not make the table here, but it is basically laid out for you. As for the histogram, the question in and out of itself is very vague because there are many ways you can set up a histogram. The file below may not be what you're looking for but it is how I imagined it would be.

Answer:

4

Step-by-step explanation:

There are 5 points. So there are 4 segments. The segments are the line between two points.

Answer:

yes it can form an isosceles triangle. when you join these lines AC will be the base and BC andAB will be two equal sides of an isosceles triangle.

Answer:

True i think

Step-by-step explanation:

tell me if you got it right. (btw switch to chrome its faster)

Answer:

61 seats.

Step-by-step explanation:

This is an example of an arithmetic sequence.

The formula for this is an = a + (n - 1)d

Where an is the number of seats in the 19th row, a is the number of seats in the first row, n is the 19th row, and d is the common difference.

We can calculate the common difference by finding how many extra seats there are from the first row to the second. 27 - 25 = 2. So, with each additional row, there are two more seats.

a19 = 25 + (19 - 1) * 2

a19 = 25 + 18 * 2

a19 = 25 + 36

a19 = 61

So, there are 61 seats in the 19th row.

Hope this helps!

Answer:

i think 61 i hope im right

Step-by-step explanation:

Answer:

Solution,

[tex] {(2x)}^{3} - 8 \\ [/tex]

[tex]( {2x)}^{3} - {(2)}^{3} [/tex]

Use the formula:

[tex] {a}^{3} - {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]

now,

[tex](2x + 2)( {(2x)}^{2} - 2x \times 2 + {(2)}^{2} )[/tex]

[tex](2x + 2)( {4x}^{2} - 4x + 4)[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Step-by-step explanation:

Given,

[tex] {( \frac{5}{2} )}^{x} + {( \frac{5}{2} )}^{x + 3} [/tex]

[tex] = {( \frac{5}{2}) }^{x} + {( \frac{5}{2}) }^{x} \times {( \frac{5}{2} )}^{3} [/tex]

[tex] = ( \frac{5}{2} ) ^{x} (1 + {( \frac{5}{2} )}^{3} [/tex]

[tex] = {( \frac{5}{2} )}^{x} (1 + \frac{125}{8} )[/tex]

[tex] = {( \frac{5}{2} )}^{x} ( \frac{1 \times 8 + 125}{8} )[/tex]

[tex] = {( \frac{5}{2}) }^{x} ( \frac{8 + 125}{8} )[/tex]

[tex] {( \frac{5}{2} )}^{x} ( \frac{133}{8} )[/tex]

Comparing with A • [tex] {( \frac{5}{2}) }^{x} [/tex]

A = [tex] \frac{133}{8} [/tex]

Hope this helps...

Good luck on your assignment...

Answer: 82,020.997

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

25%+(35%)+(20%)=80%

100-80=20%

Answer:

The answer is given below

Step-by-step explanation:

The distance from the lake to the car is 3 miles and it takes 2 hours. The velocity of the hiker is 3/2 mi/hr. Therefore f(t) which is the distance from the car t hours after 7 A.M is given by:

[tex]f(t)=\frac{3}{2}t[/tex]

When coming back on Sunday morning, the distance g(t) from the car at any point in time is given by:

[tex]g(t)=3-\frac{3}{2}t[/tex]

a)

[tex]f(t)=\frac{3}{2}t\\f(0)=\frac{3}{2}(0)=0\ mile\\f(2)=\frac{3}{2}(2)=3\ miles[/tex]

[tex]g(t)=3-\frac{3}{2}t\\g(0)=3-\frac{3}{2}(0)=3\ miles\\g(2)=3-\frac{3}{2}(2)=2-2=0\ mile\\[/tex]

b)

[tex]h(t)=f(t)-g(t)=\frac{3}{2}t -(3-\frac{3}{2}t)=\frac{3}{2}t -3+\frac{3}{2}t=3t-3\\h(t)=3t-3\\h(0)=3(0)-3=0-3=-3\\h(2)=3(2)-3=6-3=3[/tex]

c)

According to Intermediate Value Theorem, there exist a point b where f(b) = g(b). i.e. f(b) - g(b) = 0

[tex]h(b)=f(b)-g(b)=0\\h(0)=-3,h(2)=3[/tex]

This means there exist a point b within the interval [-3, 3] where f(b) - g(b) = 0

Answer:

Multiply the area of the base by the height and divide by 3.

Step-by-step explanation:

V = (1/3)Bh

where B = area of the base, and

h = height

Answer: Multiply the area of the base by the height and divide by 3.

Answer:

We khow that the volume of a pyramid is equal the product of the base and the height over 3

So he just needs to multiply them together then divide the result by 3

Answer:

R0,180(x,y)->(-x,-y)

Step-by-step explanation:

R0,180(x,y)->(-x,-y)

We note that

X(-2,2) has been transformed to X'(2,-2), and

Y(1,2) has been transformed to Y'(-1.-2)

[tex]\bold{R_0,\ 180^{\circ}}\ \ and \ \ \bold{(x,y)\longrightarrow (-x,-y)}[/tex] are the choice that's description can be defined as follows:

Therefore, the final choice are "[tex]\bold{R_0,\ 180^{\circ}}\ \ and \ \ \bold{(x,y)\longrightarrow (-x,-y)}[/tex]".

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Answer:

x=80

Step-by-step explanation:

Answer:

h = 2s

Step-by-step explanation:

Area of square is equal to the area of triangle in this question.

the area of the square is s²

the area of the triangle is [tex]\frac{1}{2}[/tex] *h*s

s²=  [tex]\frac{1}{2}[/tex] *h*s

s = [tex]\frac{1}{2}[/tex] *h

2s = h

hope that helps

40% is kept for the running of the business.

Multiply the profit by 40%

1,350,000 x 0.40 = 540,000

The amount kept for the business is 540,000

Answer:

B

Step-by-step explanation:

The y-intercept (or initial value) is 3 which means the coefficient of the exponential term is 3. The only answer choice that follows this is choice B.

Answer:

Substitute 3x - 5 for y in the second equation.

Step-by-step explanation:

Generally, to solve the system of linear equations of x and y, the first step would be trying to eliminate x (or y).

Then turn the system into the equation of only y (or x).

Next, try to solve for y (or x).

Then substitute the solved y (or x) into the original system to work out x (or y).

**********

3 options (1 addition, 2 subtractions) do not eliminate x or y (x and y still exist after manipulation).

=> Remaining option relating substitution would be a reasonable choice.

Answer:

? = 5.12

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin B = opp/ hyp

sin 65= 5/ ?

? = 5/ sin 65

? =5.516889595

To the nearest hundredth

? = 5.12