How do you write 953,000 in scientific notation?

Answer:

fr ee points cuz there was nothing attached

Step-by-step explanation:

Step-by-step explanation:

Help, I don’t get the first part but understand the second

I am always there to help you

ask your question

hope it is helpful to you

Answer:

1. $104,854

2. $274,854

Step-by-step explanation:

did it on edge and it was correct

Answer:

1. 104,854

2. 274,854

Step-by-step explanation:

i just did the assignment. and it was right.

Answer:

7.375

Step-by-step explanation:

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a)   \((p^4)^{\dfrac{3}{2}}\)

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

\((p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}\)

\((p^{^ {\dfrac{12}{2}}})\)

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

\((p^{^ {\dfrac{12}{2}}})\)

\(= (p^{ 6})\)

Let's take a look at another example

\(\Bigg (27x^{^\Big{6}} \Bigg) ^{{\dfrac{5}{3}}}\)

Here, we apply the \(\dfrac{5}{3}\) to both 27 and \(x^6\)

\(= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{6}{1}\times {{\dfrac{5}{3}}} }\Bigg)\)

\(= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{2}{1}\times {{\dfrac{5}{1}}} }\Bigg)\)

Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

∴

\(= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)\)

\(= \Bigg (3^{5} \times x^{10} }\Bigg)\)

\(= 249x^{10}\)

Let the number of professors be x.

If there are 16 times as many students as professors, then the number of students will be:

If the number of students and professors is 42,500, then we have that:

Solving by dividing both sides by 17, we have:

Hence, we can calculate the number of students in the college to be:

Therefore, there are 40,000 students in the college.

The number of times the hydrogen ion concentration of Aeen’s drink is the hydrogen ion concentration of Marien’s drink is 4 approx.

The phrase "times bigger" shows this:

If a number 'x' is 't' times bigger than 'y', then that means:

\(x = t \times y\)

It is because 'y' had to multiply itself with 't' to get in equal level of 'x'

A solution with 'x' as its pH contains \(10^{-x} mol/L\) of hydrogen ions.

For the considered case, we have:

Thus, its hydrogen ion concentration is \(10^{-2.7}\) = x (say)

Thus, its hydrogen ion concentration is \(10^{-3.3}\) = y (say)

Then, let x is t times bigger than y, then that means:

\(x = t\times y\\\\t = \dfrac{x}{y} = \dfrac{10^{-2.7}}{10^{-3.3}} = 10^{-2.7 - (-3.3)} = 10^{-0.6} \approx 4\)

It is because of the property \(a^b \times a^c = a^{b+c}\)

Thus, hydrogen ion concentration of Marien's drink is approx 4 times the hydrogen ion concentration of Aeen's drink.

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Answer:

angle CDE

Step-by-step explanation:

there are two triangles in that whole diagram the first is: CAB then if you look care there is angle CDE so try next time to closely see the similiar triangle.

Answer:

1.75% and 16 times

Step-by-step explanation:

Compound interest formula:

\(\sf A=P(1+\frac{r}{n})^{nt}\)

where:

Given:

Substituting given values into the formula:

\(\sf \implies A=600(1+\frac{0.07}{4})^{4 \times4}\)

          \(\sf =791.9576107...\)

Equivalent interest rate:

\(\sf \implies \dfrac{r}{n}= \dfrac{0.07}{4}=0.0175=1.75 \%\)

Number of times compounded:

\(\sf \implies nt=4 \times 4=16\)

x=7

I'm sorry if I'm wrong

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

\(\dfrac{3}{10}\)

Step-by-step explanation:

Length of an arc\(=\dfrac{\theta}{2\pi}X 2\pi r=\theta r\)

If the central angle of the arc is \(\dfrac{3\pi}{5}\)

Length of an arc\(=\dfrac{3\pi r}{5}\)

Therefore:

Ratio of the length of the arc to the circumference

\(=\dfrac{3\pi r}{5}:2\pi r\\=\dfrac{3\pi r}{5*2\pi r}\\=\dfrac{3}{10}\)

Therefore, the arc is \(\dfrac{3}{10}\) of the circumference is this arc.

Answer: 3 /10

Step-by-step explanation: Khan Academy

The amount of the periodic payment necessary for the deposit to a sinking fund is approximately $18,065.19.

To find the amount of the periodic payment necessary for the deposit to a sinking fund, we can use the formula for the future value of an ordinary annuity. The formula is:

X = A * (1 + r)^nt / [(1 + r)^nt - 1]

Where:

X is the amount needed

A is the periodic payment

r is the interest rate per period

n is the number of compounding periods per year

t is the total number of years

Given the information:

Amount Needed (X) = $85,000

Frequency: Quarterly

Rate (r) = 1.4% (or 0.014 as a decimal)

Time (t) = 5 years

Since the frequency is quarterly, the number of compounding periods per year (n) is 4.

Substituting the values into the formula:

$85,000 = A * (1 + 0.014)^(4*5) / [(1 + 0.014)^(4*5) - 1]

Simplifying the equation:

$85,000 = A * (1.014)^20 / [(1.014)^20 - 1]

To find the value of A, we can rearrange the equation:

A = $85,000 * [(1.014)^20 - 1] / (1.014)^20

Using a calculator or spreadsheet, we can calculate the value of A.

A ≈ $85,000 * 0.298 / 1.350

A ≈ $18,065.19

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Lawn care is kind of model do you think best represents the profit for each business.

What is profit?

Dog walker = 5 + 12 + 23 + 50 + 62 + 82  = $234

House sitter = 11 + 19 + 29 + 38 + 50 + 73  = $220

Lawn care = 142 + 150 + 165 + 141 + 120 + 91  = $809

Lawn care is kind of model do you think best represents the profit for each business.

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Answer:

No not at all

Step-by-step explanation:

Answer:

Nah

Step-by-step explanation:

I do too, I hate when fractions are included.

Answer: -48

Step-by-step explanation:

k/3 + 16

find the roots by factoring

which leads to -48

k/3 + 16

To add or subtract expressions, expand them so their denominators are the same. Multiply 16 by 3/3.

                   k/3 + 16 × 3/3

Since k/3 and 16 × 3/3 have the same denominator, we join their numerators to add them.

                          k + 16 × 3/3

We perform the multiplications in k+16×3.

                                         k + 48/3

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The clockwise rotation about the origin from the pre-image to the image​ include the following: a rotation of 90° clockwise.

In Mathematics, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Additionally, the rotation of a point 90° about the center (origin) in a clockwise direction would produce a point that has these coordinates (y, -x).

Next, we would apply a rotation of 90° clockwise to the coordinate of triangle ABC as follows;

(x, y)                               →            (y, -x)

Coordinate A = (1, 1) → Coordinate A' = (1, -(1)) = (1, -1)

Coordinate B = (1, 4) → Coordinate B' = (4, -(1)) = (4, -1)

Coordinate C = (5, 1) → Coordinate C' = (1, -(5)) = (1, -5)

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Answer:

its B) 22

Step-by-step explanation:

:) ........bbbbbb

Answer:

Slope of a parallel line :      \(\boxed{-\frac{7}{5}}\)

Slope of a perpendicular line:      \(\boxed{\frac{5}{7}}\)

Step-by-step explanation:

Parallel lines have same slope

Perpendicular line will have a slope which is the negative of the reciprocal of the line. In other words, the product of the two slopes should be - 1

\(\textrm{First convert the line equation to slope-intercept form } y = mx + b\\\\-7x - 5y = -1\\\\\textrm{Add 7x to both sides }\\\\-5y = 7x -1\\\\\textrm{Divide both sides by -5}\\\\y = -\dfrac{7}{5} x+ \dfrac{1}{5}\\\\\)

The slope of this line is
\(-\dfrac{7}{5}\)
which is the coefficient of x

A parallel line will also have the same slope of
\(-\dfrac{7}{5}\)  
ANSWER 1

A perpendicular line will have slope
\(- \dfrac{1}{-\dfrac{7}{5}} = \dfrac{5}{7}\)
ANSWER 2

Check by multiply both slopes to see if it results in  - 1

\(-\dfrac{7}{5} \times \dfrac{5}{7} = -1\)

Step-by-step explanation:

always bring the equation into the form

y = ...

in that case the slope is simply the factor of x.

-7x - 5y = -1

-5y = 7x - 1

y = (-7/5)x + 1/5

so, the slope is -7/5.

a parallel line must have the same slope : -7/5.

a perpendicular slope turns the original y/x slope upside-down and flips the sign :

5/7

Answer:

79°

Step-by-step explanation:

its a right angled triangle so the unknown is 90°

180 - (90 + 11)

We can rewrite the equation of the given line from 3x + 4y = 12 to the slope-intercept form like this:

3x + 4y = 12

3x - 3x + 4y = 12 - 3x

4y = 12 - 3x

y = (12 - 3x)/4

y = 12/4 - 3/4x

y = 3 - (3/4)x

As you can see, the slope of this line is -3/4, since this line is parallel to the line that passes through the point (-4, 7), their slopes are the same, then we can write the equation of the second line in slope-intercept form to get:

y = -3/4x + b

By replacing the x and y-coordinates of the point (-4, 7) where the line passes through, we get:

7 = (-3/4)(-4) + b

7 = 3 + b

7 - 3 = b

4 = b

b = 4

By replacing 4 for b, into the above equation, we get: the equation of the line parallel to 3x + 4y = 12 and that passes through (-4, 7):

y = -3/4x + 4

Answer:

Associative Property.

Answer:

14. y = x - 6

15. \(y = -\frac{1}{2}x-5\)

Step-by-step explanation:

Slope-intercept form is y = mx + b where:

"m" is the slope

"b" is the y-intercept

"x" and "y" are points on the graph.

For each question,

14.

Slope:

Two points are (6, 0) and (7, 1).

\(m= \frac{rise}{run} \\=\frac{1}{1}\\= 1\)

Y-intercept:

b = -6

y = 1x - 6

We don't need to write the 1.

∴ The equation is y = x - 6

15.

Slope:

Two points are (-2, -4) and (0, -5).

\(m = \frac{rise}{run}\\=\frac{-1}{2}\)

Y-intercept:

b = -5

∴ The equation is \(y = -\frac{1}{2}x - 5\)

Answer:

Step-by-step explanation:

18 degrees

Answer:

In the equation y=5x the slope (m) is 5, and the y-intercept is the point (0,0) since there is nothing added or subtracted to the 5x, and thus b = 0.

Step-by-step explanation:

Answer:

measurements being compared are called the terms of the ratio. A rate is a special ratio in which the two terms are in different units. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour,

Answer: The answer is 9/20

Step-by-step explanation: 45/100 is 45%. Divide both sides by 5. That is 9/20. After that, 9/20 is at it's simplest form.

Answer:

Its 10:4 so its 5:2 when dividing

5:2 is the answer

The ratio of orange fish to green fish in the fish tank is given by 5 : 2

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the value of A is

Let the total number of fishes in the fish tank be = 14 fishes

The number of orange fishes = 10 fishes

The number of green fishes = 5 fishes

Now , the ratio of orange fish to green fish in the fish tank is = number of orange fishes / number of green fishes

On simplifying , we get

The ratio of orange fish to green fish in the fish tank is = 10 / 4

The ratio of orange fish to green fish in the fish tank is = 5/2

Hence , the proportion is 5 : 2

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