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Step-by-step explanation:

you know how functions work ?

the variable (or variables) in the findings expression is a placeholder for actual values.

when we have an actual value, we put that into the place of the variable and then simply calculate.

x = 5

therefore, the functional calculation is

y = 3×5 - 7 = 15 - 7 = 8

keep in mind the priorities of mathematical operations :

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

therefore, we need to calculate "3×5" before we deal with the "- 7" part.

Answer:

Step-by-step explanation:

y=8

Answer:

y = 1/2x - 4

Step-by-step explanation:

Slope intercept form is y = mx + b.

m represents the slope

b represents the y - intercept

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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Answer: 9 is  -1

11 is -2 and 13 is -2

Step-by-step explanation:

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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the answer is 2x^2 + 8x + 6

Answer:

2x²+8x+6

Step-by-step explanation:

please like my answer

In linear equation,  30 is the depth of the two dives by first rounding to the nearest ten.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

= 75-43 feet,

= 32 feet.

Round 32 to the nearest ten, and you get 30 feet.

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The complete question is -

A scuba diver plans to go on two dives in one day. In the first, she will descend to 75 feet, and in the second she plans to descend to 43 feet. Estimate the difference between the depth of the two dives by first rounding to the nearest ten.

A) 30 feet

B) 40 feet

C) 120 feet

D) 32 feet

Answer:

y = - 3x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3 and y- intercept c = 7 , then

y = - 3x + 7 ← equation of line

Given the piecewise-defined function e-/4, for -1 < x < 0, for 0 < x < 3, for all other x, h(x) = ¹/4, 101, evaluate the integral: [h h(x) dx =This piecewise-defined function is divided into 3 parts:

For 0 < x < 3, 1 For all other x, 1/4. The integral of a piecewise-defined function is the sum of the integrals of each piece dx for all other x. Now we integrate each piece:∫e^(-x/4) dx = -4e^(-x/4) for -1 < x < 0 ∫1 dx = x for 0 < x < 3∫(1/4) dx = (x/4) for all other x.

Therefore, the integral [h h(x) dx = [-4e^(-x/4)] for -1 < x < 0 + x for 0 < x < 3 + (x/4) for all other x.This function is continuous at -1 and 0 since the limits from the left and right sides are equal. Therefore, we have to find the integral over the entire interval (-∞, ∞):∫(-∞, ∞) h(x)

dx = ∫(-1, 0) e^(-x/4) dx + ∫(0, 3) 1 dx + ∫(3, ∞) (1/4)

dx = [-4e^(-x/4)] for -1 < x < 0 + x for 0 < x < 3 + (x/4)

for all other x from .Therefore, the integral [h h(x) dx is divergent. Its value is infinite.

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Answer:

×=-2+12/2,the anwser is ×=5,×=-7

Yes.

It is true that if v1, v2, ..., vp are vectors in Rⁿ, then Span{v1, v2, ..., vp} is the same as the column space of the matrix [v1 v2 ... vp].

True, let A = [v1 v2 ... vp] be the matrix columns are the given vectors.

The column space of A is the set of all linear combinations of the columns of A, which is exactly the same as the span of the vectors v1, v2, ..., vp.

In other words, any vector that can be written as a linear combination of the columns of A is also in Span{v1, v2, ..., vp}, and vice versa.

The tools of linear algebra to study the span of a set of vectors, by considering the column space of the corresponding matrix.

Techniques like row reduction and rank to determine if a set of vectors is linearly independent or spans the whole space Rⁿ.

Yes, the given vectors should be used as the matrix columns in A = [v1 v2... vp].

The span of the vectors v1, v2,..., vp is exactly the same as the column space of A, which is the set of all linear combinations of the columns of A.

This means that any vector that can be expressed as a linear combination of columns from A is also a vector in Spanv1, v2,..., vp and vice versa.

By taking into account the column space of the associated matrix, the techniques of linear algebra may be used to examine the range of a collection of vectors.

To establish if a group of vectors spans the whole space Rn or is linearly independent, use methods like rank and row reduction.

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The number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.

To calculate the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, we need to determine the length of the circle's circumference at the given latitude.

Given:

Length of the Earth's equator = 25,100 miles

Latitude of Lena, Wisconsin = 45 degrees north

The circumference of a circle at a given latitude on a perfect sphere can be calculated using the formula:

Circumference = (Cos(latitude) * Earth's equator circumference)

First, we need to convert the latitude from degrees to radians:

Latitude in radians = 45 degrees * (π / 180)

Latitude in radians = π/4

Next, we can substitute the latitude in radians into the formula to calculate the circumference:

Circumference = (Cos(π/4) * 25,100 miles)

Using the value of the cosine of π/4 (which is √2 / 2), we have:

Circumference = (√2 / 2) * 25,100 miles

Simplifying:

Circumference ≈ 0.707 * 25,100 miles

Circumference ≈ 17,747.07 miles

Therefore, the number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.

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Answer:

10/85=8/x 10x=680 x=680/10 x=68

Step-by-step explanation:

hehe boris

Answer:

9.6 = BC

Step-by-step explanation:

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

tan theta = opposite/ adjacent

tan 58 = BC / 6

Multiply each side by 6

6 tan 58 = BC

9.602007174 =BC

Round to the nearest tenth

9.6 = BC

Answer:

BC= 9.6

Hope it helps :)

Suppose that \(A1 ∩ A2\)is path-connected. If each of the subspaces A1, A2, and A1 ∩ A2 is simply connected, then the quotient space X / A1 ∼ A2 is simply connected too.

Given a quotient space et p which is obtained by identifying the north and south poles of two spheres s2 to a single point.

Let's find the value of p.The quotient space et p can be visualized as shown below:Quotient Space et pThis space et p has the structure of the cone C(A) over the 1-dimensional CW complex

A obtained from two 0-cells and one 1-cell connecting them with attaching maps

as shown below:

In our case, the spaces A1, A2, and A1 ∩ A2 are s2, s2, and S1, respectively. Both s2 and S1 are simply connected, since they are homotopy equivalent to a point. Since S1 is path-connected, we can apply the above proposition to conclude that et p is simply connected.Therefore, the value of p is 1 since the fundamental group of et p, π1(et p), is trivial.

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Answer:

B. Isosceles right triangle

C. Quadrilateral

D. Parallelogram

Step-by-step explanation:

Answer:

The geometric figures that could describe how the garden might look are B. Isosceles right triangle and C. Quadrilateral.

Answer:

Your correct answer is 169.65 square units.

Step-by-step explanation:

Since the radius of the cylinder is 3, and the height of it is 6, you get a total of 169.65 square units.

Here is proof that I am correct:

Answer:

54 pi

Step-by-step explanation:

khan

The length of the major arc LNM is \(\frac{29}{6}\pi \ cm\)

From the question,

We are to determine the value of the length of the major arc LNM

The length of the major arc LNM can be calculated using the formula

\(Length \ of \ major\ arc \ LNM = \frac{Reflex \ <LKM}{360 ^\circ} \times 2\pi r\)

Where r is the radius

First, we will determine the value of the reflex ∠LKM

Reflex ∠LKM + ∠LKM = 360° (Sum of angles at a point)

From the given information,

∠LKM = 70°

Then,

Reflex ∠LKM + 70° = 360°

Reflex ∠LKM = 360° - 70°

Reflex ∠LKM = 290°

Also, from the question

r = 3 cm

Now, putting the parameters into the formula, we get

\(Length \ of \ major\ arc \ LNM = \frac{290 ^\circ }{360 ^\circ} \times 2\pi \times 3\)

Then,

\(Length \ of \ major\ arc \ LNM = \frac{1740\pi}{360}\)

\(Length \ of \ major\ arc \ LNM = \frac{29}{6} \pi \ cm\)

Hence, the length of the major arc LNM is \(\frac{29}{6}\pi \ cm\)

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Step-by-step explanation:

From the image, let Angle 1 be x, and angle 2 be 16°

\({ \tt{x + 16 = 180}} \\ { \tt{x = 164 \degree}}\)

Answer:

[See Below]

Step-by-step explanation:

\(Hey~There!\)

____________________

➜ Turn each fraction into a decimal:

➜ Now divide:

____________________

So based on the work above we can conclude that your answer is:

____________________

\(Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane\) ヅ

The difference in the dollar value of Assistantship (Stipend) between art and science fields with  standard errors is equal to 1.214.

Mean      24041.62203                 25952.36501

Sample mean difference between Assistantship (stipend) in arts and science is equal to

=  $25952.36501 - $24041.62203

= $1910.74298.

Hypothesized mean difference is 0 (there is no difference in stipend between the two fields).

Variance        621483.0801            615193.5853

Sample size    521                             479

Standard error of the difference is,

=√[(variance in arts / sample size in arts) + (variance in science / sample size in science)]

= √[(615193.5853 / 479) + (621483.0801 / 521)]

= $49.77

t-statistic

= (sample mean difference - hypothesized mean difference) / standard error of the difference

Substitute the values into the t-statistic formula,

⇒ t-statistic = ($1910.74298 - 0) / $49.77

⇒ t-statistic = 38.39

t-critical value for a two-tailed test with 992 degrees of freedom at a significance level of 0.05 is 1.9624.

t-statistic (38.39) > t-critical value (1.9624)

⇒Reject the null hypothesis that there is no difference in stipend between the two fields.

standard errors

= t-statistic / √(sample size)

= 38.39 / √(479 + 521)

= 38.39 /31.62

=1.214

Therefore,  the difference in the dollar value of Assistantship (Stipend) between these two fields is 1.214 standard errors away from the hypothesized difference.

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The fraction 5/20 can be simplified to 1/4 .

To enter the fraction 5/20, we have to follow these steps:

1. Write the numerator (the number on top) first, which is 5.

2. Use a forward slash (/) to separate the numerator and the denominator (the number on the bottom).

3. Write the denominator next, which is 20.

So, you will enter the fraction as 5/20.

However, it is important to reduce the fraction to its simplest form if possible. In this case, both the numerator and denominator can be divided by 5, which gives you the reduced fraction 1/4.

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After combining like terms to create equivalent expression we get (-1.9 + 1.2) + (5.1 - 3.6)t. Simplifying further, we get: -0.7 + 1.5t.

To combine like terms, we add or subtract the coefficients of the same variables. In this case, the variables are t and the constant terms (without variables) are -3.6, -1.9, and 1.2.

So the equivalent expression after combining like terms is:

(-1.9 + 1.2) + (5.1 - 3.6)t

Simplifying further, we get:

-0.7 + 1.5t

A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. It tells you how many times the variable appears in the expression. For example, in the expression 3x + 2, the coefficient of x is 3. Variables are symbols used to represent unknown quantities in mathematical equations or expressions. They can take on different values, and their value can be solved for using algebraic techniques. Equivalent expressions are expressions that have the same value for all possible values of the variables involved. For example, 2x + 4 and 4 + 2x are equivalent expressions since they simplify to the same value. Equivalent expressions can be useful in simplifying and solving algebraic equations.

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Complete Question

Combine like terms to create an equivalent expression. −

3. 6−1. 9+1. 2+5. 1 −3. 6−1. 9t+1. 2+5.

the equivalent fraction for 16/20 is 4/5.Here are the equivalent fractions for each problem:24/42 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 6.

That gives us:

24/42 = (24 ÷ 6) / (42 ÷ 6) = 4/7

So the equivalent fraction for 24/42 is 4/7.

16/20 can be simplified by dividing both the numerator and denominator by their  common factor, which is 4. That gives us:

16/20 = (16 ÷ 4) / (20 ÷ 4) = 4/5

So the equivalent fraction for 16/20 is 4/5.

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Answer:

44°

Step-by-step explanation:

We Know

The sum of three angles in a triangle must add up to 180°.

Let's solve

3x + 15 + 4x - 12 + 79 = 180°

7x + 82 = 180°

7x = 98°

x = 14

Now we put 14 in for the x and find the other 2 missing angles.

3x + 15

3(14) + 15

42 + 15

57°

4x - 12

4(14) - 12

56 - 12

44°

So, the measure of the three angles are: 44°, 57°, and 79°. So, the measure of the smallest angle is 44°

Answer:

Yes, but doing so will clear out his account.

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

Aaron's bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:

Transaction

Cost ($)

Car payment

260.16

Groceries

97.98

Parking ticket

75.00

DVD box set

115.35

Antique lamp

68.53

Suit

331.84

Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Aaron afford this? Explain a. Yes, he can make the purchase and still have money left over. b. Yes, but doing so will clear out his account. c. No, purchasing that would overdraw his account. d. No, he is overdrawn already

Aaron's bank account balance=$1213.69

He made all this transactions below;

Car payment

260.16

Groceries

97.98

Parking ticket

75.00

DVD box set

115.35

Antique lamp

68.53

Suit

331.84

The summation of all his transactions is;260.16+97.98+75.00+115.35+68.53+

331.84= $948.86

Which means after performing those transactions above, he was left with $948.86.

We were informed that Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83.

For him to paint his car now he will spend $264.83, if we add with the previous transactions it sum up to $1213.69 which was actual amount he has at hand. I.e ($264.83+$948.86)=

$1213.69

Therefore, the answer is Yes, but doing so will clear out his account.

We are given the dot-plots of sixth-grade test scores and seventh-grade test scores.

Let us first find the median of the two test scores.

Recall that the median is the value that divides the distribution into two equal halves.

Sixth Grade Geograph Test Scores:

From the dot-plot, we see that 11 is the median test score since it divides the distribution into two equal halves.

Median = 11

Seventh Grade Geograph Test Scores:

From the dot-plot we see that 13 is the median test score since it divides the distribution into two equal halves.

Median = 13

Therefore, the median score of the seventh-grade class is 2 points greater than the median score of the sixth-grade class.

Now let us find the interquartile range which is given by

Seventh Grade Geograph Test Scores:

The upper quartile is given by

At the 10th position, we have a test score of 13

The lower quartile is given by

At the 3rd position, we have a test score of 11

So, the interquartile range is

Sixth Grade Geograph Test Scores

The upper quartile is given by

At the 9th position, we have a test score of 10

The lower quartile is given by

At the 3rd position, we have a test score of 8

So, the interquartile range is

So, the IQR is the same as the difference between medians.

Therefore, the median score of the seventh-grade class is 2 points greater than the median score of the sixth-grade class. The difference is the same as the IQR

Hence, the correct answer is option B

When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

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Answer:

659.375

Step-by-step explanation:

big brain

use a calculator

Answer:

DG

Step-by-step explanation:

This is a rectangular prism.  BE & AH are also parallel to CF. but they r not in the answers.