Please help, thank you

3.8 x\(10^3\) is 169 times smaller than 6.422x \(10^5\).

The number is written in the form  \(a \times 10^b\) where we have  \(1 \leq\) a < 10. Scientific notations have some of the profits as:

Better readability due to compact representation Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

We need to find out how many times 3.8 x 10^5 is greater than 3.8 x 10^-7.

To do that, we have to divide 3.8 x 10^5 by 3.8 x 10^-7 and then find the answer.

Let us do that:

\(\begin{gathered} \frac{3.8\cdot10^3}{6.422\cdot10^{5}}\text{ = }\frac{3.8}{6.422}\cdot\text{ }\frac{10^3}{10^{5}} \end{gathered}\)

= 169

According to the division law of indices states that if a numerator and a denominator have the same base (e.g. 10), then the power of the numerator can subtract of the denominator.

Therefore, 3.8 x\(10^3\) is 169 times smaller than 6.422x \(10^5\).

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Answer:

the second choice (-2,-3)

Step-by-step explanation:

Answer:

20.0mL

Step-by-step explanation:

The general gas formula is expressed as;

P1V1/T1 = P2V2/T2

P1 and P2 are the initial and final pressure respectively

V1 and V2 are the initial and final volume respectively

T1 and T2 are the initial and final temperature respectively

If  the temperature and pressure are both doubled, then;

P2 = 2P1 and T2 = 2T1

Given

V1 = 20.0mL

Required

New volume V2

Substitute the given parameters into the formula above as shown;

P1V1/T1 = P2V2/T2

20P1/T1 = (2P1)V2/(2T1)

20 = 2V2/2

20 = V2

Hence the new volume is also 20.0mL

Answe

Step-by-step explanation:

answer is 9

Answer:

Dude Where's the attachment

Step-by-step explanation:

This is incomplete without image

Answer:

I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Step-by-step explanation:

Given that I invested $ 11,000 in two accounts paying 3% and 7% annual interest, respectively, if the total interest earned for the year was $ 730, to determine how much was invested at each rate, the following calculation must be performed:

5,000 x 0.07 + 6,000 x 0.03 = 530

8,000 x 0.07 + 3,000 x 0.03 = 650

10,000 x 0.07 + 1,000 x 0.03 = 730

Therefore, I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Answer:

A 3% = 1000 and B 7% = 10000

Step-by-step explanation:

A + B = 11000

A * 0.03 + B * 0.07 = $730

A = 11000 - B

(11000 - B)*0.03 + B*0.07 = 730

330 - 0.03B + 0.07B = 730

330 + 0.04B = 730

0.04B = 400

B = 10000

A = 11000 - B = 11000 - 10000

A = 1000

The coordinates in the solution to the systems of inequalities is (12, 1)

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

y > -4x + 6

y > 1/3x - 7

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (12, 1)

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Answer:

252 is your answer

Step-by-step explanation:

Your Welcome! :)

Answer:

Total intake in ML = 414 ml (Approx.)

Step-by-step explanation:

Given:

Apple juice intake = 2 oz

Chicken broth intake = 4 oz

Gelatin dessert intake = 3 oz

Hot tea intake = 5 oz

Find:

Total intake in ML

Computation:

1 oz = 29.5735 ml

Apple juice intake in ml = 2 x 29.5735

Apple juice intake in ml = 59.147 ml

Chicken broth intake = 4 x 29.5735

Chicken broth intake = 118.294 ml

Gelatin dessert intake = 3 x 29.5735

Gelatin dessert intake = 88.7205ml

Hot tea intake = 5 x 29.5735

Hot tea intake = 147.8675 ml

Total intake in ML = 59.147 ml + 118.294 ml + 88.7205ml + 147.8675 ml

Total intake in ML = 414.029 ml

Total intake in ML = 414 ml (Approx.)

Answer:

y=10

Step-by-step explanation:

After handling raw meat the food preparer should: wash hands with soap.

It is important that after handling raw meat the food preparer should endeavor to wash his/her with soap and water and  dry your hand with a clean towel.

Washing of hand with soap will help to prevent bacteria based on the fact that  raw meats can contaminate the area you place your hands on which is why it is advisable to wash your hands after handling raw meat.

Therefore after handling raw meat the food preparer should: wash hands with soap.

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The whole numbers are:

0, 1, 2, 3, 4, ........

The integer numbers are:

....., -3, -2, -1, 0, 1, 2, 3, ......

A prime number is a number that can only be divided (without remainder) by itself and one.

5.

The numbers that are whole and integers are 0, 2 and 4.

6.

The numbers that are whole and prime are 1, 3, and 5. (The four and nine are not prime because they can be divided by 2 and 3, repectively. The zero is not prime because the division by 0 is not defined).

Answer:

Step-by-step explanation:

y =  bushels of carrots picked

6 = bushels of carrots per hour (rate of change)

x = time worked at picking

2 = initial number of bushels picked before time starts.

My original answer was deleted for "Violating community standards" but I have no idea why my answer ran afoul of the moderator's interpretation of the standard. Also I see no way to protest the action or to learn from my "mistake".

The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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The most common number of hours volunteered is 22.

Option B is the correct answer.

We have,

A.
The number of students who volunteered more than 30 hours is greater than the number of students who volunteered fewer than 30 hours.

This can not be determined from the given stem-and-leaf plot as it only shows the frequency distribution of hours volunteered without any specific count of students.

The plot only indicates that there are some students who volunteered between 31-36 hours (stem 3, leaves 33, and 36) and one student who volunteered for 44 hours (stem 4, leaf 4).

Therefore, option A is not supported by the given data.

B.

The most common number of hours volunteered is 22.

From the stem-and-leaf plot, we can see that the mode is 22 as it has the highest frequency (stem 2, leaves 2, 5, 7, 8).

Hence, option B is supported by the given data.

C.

The number of students who volunteered between 9 and 20 hours is greater than the number of students who volunteered more than 40 hours.

This statement cannot be confirmed by the given stem-and-leaf plot as there are no leaves in stem 1, which means there are no students who volunteered less than 10 hours. Also, there are no leaves in stem 4, except for one leaf with a value of 44.

Therefore, we can not determine how many students volunteered between 9-20 hours and more than 40 hours. Hence, option C is not supported by the given data.

D.

The most common number of hours volunteered is 41.

There are no leaves in stem 4 except for the value of 44, which means there is no student who volunteered for 41 hours.

Hence, option D is not supported by the given data.

Therefore,

The most common number of hours volunteered is 22.

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So, the pairs of numbers that would represent the simple main effect of therapy (factor a) at the group setting (b2) in this example would be a1b2 (cognitive-behavioral therapy at the group setting) and a2b2 (relaxation therapy at the group setting).

In a 2x2 factorial design, there are two independent variables, each with two levels. This means that there are a total of four treatment conditions in the experiment. The simple main effect of one of the independent variables (in this case, factor a) at a specific level of the other independent variable (in this case, b2) refers to the effect of that independent variable on the dependent variable when the other independent variable is held constant at a specific level.

To understand this concept more clearly, let's consider an example. Suppose that in your experiment, factor a is the type of therapy (cognitive-behavioral therapy vs. relaxation therapy) and factor b is the type of treatment setting (individual vs. group). In this case, the simple main effect of therapy (factor a) at the group setting (b2) would refer to the effect of therapy on the dependent variable when the treatment setting is held constant at the group level.

The simple main effect of therapy (factor a) at the group setting (b2) would be calculated by comparing the mean response for the cognitive-behavioral therapy condition (a1b2) to the mean response for the relaxation therapy condition (a2b2). This would allow you to determine whether there is a significant difference in the mean response between the two therapy conditions when the treatment setting is held constant at the group level.

So, to answer your question, the pairs of numbers that would represent the simple main effect of therapy (factor a) at the group setting (b2) in this example would be a1b2 (cognitive-behavioral therapy at the group setting) and a2b2 (relaxation therapy at the group setting).

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The ship started at the Position 0.14 units.

To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.

Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:

Starting position + Distance sailed to the left = Distance to the treasure

Let's assign a variable, "x," to represent the starting position of the ship.

The equation becomes:

x - 0.055 = 0.085

To find the value of x, we can solve this equation by isolating x on one side:

x = 0.085 + 0.055

x = 0.14

Therefore, the ship started at the position 0.14 units.

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Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

Answer: Null hypothesis: \(p\leq0.50\)

Alternative hypothesis: \(p>0.50\)

Step-by-step explanation:

Given: p = Proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario.

n= 200

Sample proportion = \(\hat{p}=\dfrac{109}{200}=0.545\)

Claim : p>0.50

Null hypothesis: \(p\leq0.50\)

Alternative hypothesis: \(p>0.50\)

Answer:

x=4

Step-by-step explanation:

The two angles together are complementary, which means they add up to 90 degrees

solving for x:

9x+4x+38=90

9x+4x=13x

13x+38=90

13x+38-38=90-38

13x=90-38

13x=52

x=4

hope this helps ^D^

Answer:

9x=4x+38

5x=38

x=38/5

Step-by-step explanation:

Answer:

none because he is broke

Step-by-step explanation:

The percentage of drivers who are at least 45 is 62%

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

The table of values

From the table, we have

Age 45 = 62 percentile

When represented properly

So, we have

Age 45 = 62%

This means that the percentage of drivers who are at least 45 is 62%

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A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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The y-intercept of the function is (0, c)

The coefficients b determine the horizontal shift of the parabola compared to the parent function

If a is negative, the parabola opens downward

The y-intercept of the function is (0, c).

This means that when x = 0, the y-value is equal to c.

The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.

The coefficient b determines the horizontal shift of the parabola compared to the parent function.

The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.

A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.

If a is negative, the parabola opens downward.

The coefficient a determines the shape of the parabola.

If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.

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This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

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Answer:

A. The triangles are similar because the ratios of the corresponding sides are the same

Step-by-step explanation:

Both ∆sloom similar in shape. Let's find out if they are actually similar.

∆TUV and ∆QRS are similar if the ratio of their corresponding sides are the same all through.

Thus:

TU = 70, QR = 25, UV = 84, RS = 30, TV = 42, QS = 15

If both ∆s are similar, then, TU/QR = UV/RS = TV/QS

TU/QR = 70/25 = 2.8

UV/RS = 84/30 = 2.8

TV/RS = 42/15 = 2.8.

Ratio of corresponding sides is the same, therefore, both triangles are similar.

Therefore, the following statement is true:

A. The triangles are similar because the ratios of the corresponding sides are the same

Answer:

The answer is 16% I just took the test

Step-by-step explanation:

Answer:

A fingerprint can last on a surface from 2 hours to 40 years on average.

Step-by-step explanation:

Most fingerprints will get erased due to impact from humidity and heat.

Mai travels abοut 4.2 feet per secοnd faster than Kiran.

Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.

The circumference οf Kiran's ring is:

C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft

The circumference οf Mai's ring is:

C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft

Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.

The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:

V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s

And the speed οf Mai in feet per secοnd is:

V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s

The difference in their speeds is:

V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s

Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.

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