.45, .75, .5, .625 in greatest to least

Answer:

141,161

Step-by-step explanation:

Answer:

940,760

Step-by-step explanation:

The question wants to if you know place value. You can write any number as long as the 2nd and 5th number is 4 and 6.

For example:

?4?,?6?

The question marks can be filled with any number.

Part A ;

For Bus:

mean = 17.5

median = 15

mode= 15 and 16

Range= 17

For walking:

mean = 20.5

median = 20.5

mode= 20 and 21

Range= 3

For Bus

To calculate the mean:

= 16+14+15+14+31+15/6

= 105/6

= 17.5

To calculate the median;

= 14,14,15,15,16,31

= 15+15/2 = 15

To calculate the range:

= 31-14 = 17

For walking;

To calculate the mean:

= 19+20+20+21+21+22/6

= 123/6

= 20.5 mins

To calculate the median

= 20+21/2

= 20.5

To calculate the mode:

=20 and 21

To calculate the range:

= 22-19

= 3

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Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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The measure of angle BGF from the given parallel lines is 108°.

Given that, measure of angle BGF=4x+28 and the measure of angle EHD = 2x+32.

1) From the given figure, angle BGF and angle EHC are interior alternate angles.

Angle FHC and angle EGA are corresponding angles.

Angle FHC and angle EGA are exterior alternate angles.

2) angle BGF+angle EHD=180°

3) 4x+28+2x+32=180°

6x+60=180

6x=120

x=20

Angle BGF=4x+28=108 °

Angle EHD = 2x+32

= 112°

Angle FHD=180-112=68°

Angle EGB=180-108=72°

Therefore, the measure of angle BGF from the given parallel lines is 108°.

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The degree solutions of the equation are 51.82 degrees and 128.17 degrees

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

cos² (x) + cos (x) − 1 = 0

Let y = cos(x)

So, we have

y² + y - 1 = 0

When solved graphically, we have

y = ±0.618

This means that

cos(x) = ±0.618

Take the arccos of both sides

x = cos-1(±0.618)

Evaluate

x = 51.82 degrees and 128.17 degrees

Hence, the angles are 51.82 degrees and 128.17 degrees

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The representation that is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time is a Line Plot

A line plot, or dot plot/strip plot, is a simple visual method of displaying data that shows the spread of values on a horizontal scale. A frequent application of it is to graphically display the occurrence or spread of a solitary factor.

A line plot generally displays individual data points as a small dot or short line segment along a specific axis, usually the horizontal axis. The location of the dot or line segment indicates the numerical value of the data point. Usually, the up and down axis showcases the frequency or the number of times a particular value occurs.

With this type of Table, the top is always X and the bottom is always Y.

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Answer:

Step-by-step explanation:

It’s 20

Let us begin by picturing the problem using a diagram:

Using your trigonometric ratios, we can find the length of the ladder. I have labelled the length of the ladder as x

Let us identify the sides of the triangle:

Opposite side = 31 ft

Hypothenuse side = x

Using the sine ratio:

Hence, the length of the ladder is 32.09 feet

Answer: 32.09 feet

Answer:

The closest should be 6 aka the first option

Answer:

k = 6 and k = -4

Step-by-step explanation:

To determine two integral values of k (integer values of k) for which the roots of the quadratic equation kx² - 5x - 1 = 0 will be rational, we can use the Rational Root Theorem.

The Rational Root Theorem states that if a rational number p/q is a root of a polynomial equation with integer coefficients, then p must be a factor of the constant term (in this case, -1) and q must be a factor of the leading coefficient (in this case, k).

Possible p-values:

Possible q-values:

Therefore, all the possible values of p/q are:

\(\sf \dfrac{p}{q}=\dfrac{\pm 1}{\pm 1}, \dfrac{\pm 1}{\pm k}=\pm 1, \pm \dfrac{1}{k}\)

To find the integral values of k, we need to check the possible combinations of factors. Substitute each possible rational root into the function:

\(\begin{aligned} x=1 \implies k(1)^2-5(1)-1 &= 0 \\k-6 &= 0 \\k&=6\end{aligned}\)

\(\begin{aligned} x=-1 \implies k(-1)^2-5(-1)-1 &= 0 \\k+4 &= 0 \\k&=-4\end{aligned}\)

\(\begin{aligned} x=\dfrac{1}{k} \implies k\left(\dfrac{1}{k} \right)^2-5\left(\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}-\dfrac{5}{k}-1 &= 0 \\-\dfrac{4}{k}&=1\\k&=-4\end{aligned}\)

\(\begin{aligned} x=-\dfrac{1}{k} \implies k\left(-\dfrac{1}{k} \right)^2-5\left(-\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}+\dfrac{5}{k}-1 &= 0 \\\dfrac{6}{k}&=1\\k&=6\end{aligned}\)

Therefore, the two integral values of k for which the roots of the equation kx² - 5x - 1 = 0 will be rational are k = 6 and k = -4.

Note:

If k = 6, the roots are 1 and -1/6.

If k = -4, the roots are -1 and -1/4.

Answer:

The value of the investment can be represented by the equation:

v = 1000 * 2^(t/12)

where t is the number of months since the investment was made and the exponential term represents the factor of 2 increase in value each year.

Hope this helps!

The equation for total cost of buying and shipping the records is

76.4x + 80

We have,

She buys 3 in good condition

So, the cost for 3 good condition

= 3 (10.5x)

= 31.5 x

and, She buys 1 in Fair condition

So, the for 1 fair condition

= 5x

and, She buy 2 new condition then the price is

= 39.9 x

So, the equation for total cost of buying and shipping the records is

= 31.5x + 5x + 39.9x + 8

= 76.4x + 8

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

i got b= -11

Step-by-step explanation:

Answer:

Step-by-step explanation:

5b + 6 - 6b + 2 = 19

5b-6b+6+2=19

-b+8=19

b=8-19

5(-11) + 6 - 6(-11) + 2 = 19

-55 + 6 + 66 + 2 = 19

-55+74=19

19=19

Answer:

x = 12

Step-by-step explanation:

We will label the unknown interior angle of the triangle d.

14x - 19 + d = 180

14x + d = 199

d = 199 - 14x

199 - 14x + 3x + 9x + 7 - 2 = 180

199 - 2x +5 = 180

204 - 2x = 180

204 = 180 + 2x

2x = 24

x = 12

Answer:

true

Step-by-step explanation:

Answer:

4/9 = 1/2 x

Step-by-step explanation:  2.84 sands

The value of the experimental probability of tossing heads is,

⇒ 1 / 3

We have to given that;

Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T

Where, H stands for heads and T stands for Tails.

Hence, Total outcomes = 15

And, Head outcomes = 5

Thus, The value of the experimental probability of tossing heads is,

⇒ 5 / 15

⇒ 1 / 3

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they are all functions

Answer:

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x

=

3

V

Answer:

Vx = 3

Step-by-step explanation:

The answer below is because you move all terms not containing Vx to the right side of the equation.

The yield to maturity of this STRIP is 1.36%

percentage, a relative value indicating hundredth parts of any quantity.

Current price = $96

Par Value = $100

Time to Maturity = 3 years

Semiannual Period = 3 × 2 = 6

The yield to maturity of this STRIP will be calculated as:

Let the semiannually yield to maturity be represented by y.

96 = 100/(1 + y)⁶

Cross multiply

96(1+y)⁶= 100

Divide both side by 96

(1+y)⁶= 100/96

(1+y)⁶= 1.0417

1 + y⁶ = 1.0417

y⁶ = 1.0417 - 1

y⁶ = 0.0417

y = 0.0068

Therefore, the semiannual YTM = 0.0068

Annual YTM will now be:

= 2 × Semiannual YTM

= 2 × 0.068

Annual YTM = 0.0136

Hence, the yield to maturity of this STRIP is 1.36%

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Answer:

x=1

Step-by-step explanation:

f(x)=-4x^2+8x-28 (Identify the cofficients)

a=-4, b=8 (Substitute the coefficients into the expression)

x=-8/2(-4) (solve the equation)

x=1

please tell me if i am wrong :)

Answer:

115

Step-by-step explanation:

supplementary angles add up to equal 180

That being said we can find an angles supplement by subtracting the measure of the given angle from 180

Thus, answer = 180 - 65

180 - 65 = 115

A number line was used to draw and label a figure for Points X and Y that lies on CD as shown in the image attached below.

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

A number line can be defined as a type of graph with a graduated straight line which contains numerical values (positive and negative numbers) that are placed at equal intervals along its length.

A number line would be used to draw and label a figure for Points X and Y that lies on CD as shown in the image attached below.

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Answer:

A.

75 + (8) (49.99) + (4) (59.99)

Step-by-step explanation:

Answer:

The travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times is 10.6 minutes.

Step-by-step explanation:

We are given that the average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes.

Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed.

Let X = the distribution of travel time

The z-score probability distribution for the normal distribution is given by;

                               Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = average travel time = 17 minutes

            \(\sigma\) = standard deviation = 4.5 minutes

So, X ~ Normal(\(\mu=17, \sigma^{2} =4.5^{2}\))

Now, we have to find the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times, that means;

            P(X < x) = 0.08      {where x is the required travel time}

            P( \(\frac{X-\mu}{\sigma}\) < \(\frac{x-17}{4.5}\) ) = 0.08

            P(Z < \(\frac{x-17}{4.5}\) ) = 0.08

In the z table the critical value of z that represents the below 8% of the area is given by -1.43, that is;

                         \(\frac{x-17}{4.5}=-1.43\)

                         \({x-17}{}=-1.43\times 4.5\)

                         x = 17 - 6.435 = 10.6 minutes

Hence, the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times is 10.6 minutes.

Answer: $12.87

Step-by-step explanation:

$11 x .17 = $1.87

$11 + $1.87 = $12.87

The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

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