Another function I hate these things :C can someone help!

The equation would be y = kx with k being a constant.

Assuming the gravitational force is y and the mass of the body is x. y is directly proportional to the x.

Mathematically,

y = kx where k = constant.

If y = 19.6 Newtons and x = 2 kg, then

k = y/x = 19.6/2 = 9.8.

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Answer:

Opposite

Step-by-step explanation:

Opposite sides are parallel is the statement which is a property of parallelogram.

A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

There are six important properties of parallelograms to know:

Opposite sides are congruent .

Opposite angels are congruent .

Consecutive angles are supplementary.

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

In the given options Opposite sides are parallel is the statement which is a property of parallelograms.

Hence, Opposite sides are parallel is the statement which is a property of parallelogram.

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The values of {x} and {y} for which both the equations are true are {x} = 3 and {y} = 1.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given is the system of simultaneous equations as -

{y} = -{2/3}x + 3

{y} = 2x - 5

Refer to the graph of the equations attached. The value of {x} and {y} for which both the equations are true is given by the point of intersection of both lines.

Therefore, the values of {x} and {y} for which both the equations are true are {x} = 3 and {y} = 1.

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Answer:

\(x=16\frac{2}{3}\)

Step-by-step explanation:

Since the rectangles are similar, that means that corresponding sides are proportional. Therefore, the ratio of similitude is 5/3 (GH and CD are corresponding sides and the ratio between their lengths is 5/3). If the ratio of similitude is 5/3 and two corresponding sides are m and 10, then we can make an equation:

\(\frac{m}{10}=\frac{5}{3}\)

Cross-multiply to get:

\(3m=50\)

Thus, m = \(\frac{50}{3}\) which is \(16\frac{2}{3}\) .

Hope this helps :)

The correct statement regarding the residual plot in this problem, and whether the line of best fit is a good fit, is given as follows:

Yes, the points have no pattern.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, hence it is defined by the subtraction operation as follows:

Residual = Observed - Predicted.

Hence the graph of the line of best fit should have the smallest possible residual values, and no pattern between the residuals.

As there is no pattern between the residuals in this problem, the line is in fact a good fit and the first option is the correct option.

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Answer:

\(t = \frac{-D+F}{Dr}\)

Step-by-step explanation:

Step 1: Flip the equation.

Step 2: Subtract D from both sides.

Step 3: Divide both sides by Dr.

The probability of spinning two greens on the spinner is 1/16.

To find the probability of spinning two greens on the spinner, we need to determine the probability of spinning a green on the first spin and then the probability of spinning another green on the second spin. Since there are 4 equal sections on the spinner and one of them is green, the probability of spinning a green on the first spin is 1/4.

After the first spin, assuming the spinner is put back to its original state, the probabilities for each section remain the same. Therefore, the probability of spinning a green on the second spin is also 1/4.

To find the probability of both events happening (spinning two greens), we multiply the probabilities together:

P(spinning two greens) = P(green on first spin) * P(green on second spin)

= (1/4) * (1/4)

= 1/16

Therefore, the probability of spinning two greens on the spinner is 1/16.

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Answer:

4.92

Step-by-step explanation:

Answer: 4.92

Step-by-step explanation:

To round a three decimal integer like 4.922, you look at the trailing digit or last decimal (2) in this case.

Then determine if greater or less than 5. If greater or equal to 5, remove last digit 2 and then add 1 to the number before (2) or 2nd decimals place.

So we have 4.922 with last decimals being 2.

Therefore, we do not add and keep last decimals before the same.

Answer is 4.92

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

KI = 4.47

IT = 6.32

Step-by-step explanation:

KI

2²+4² = 4+16 = 20

The square root of 20 is 4.47

IT

2²+6² = 4 + 36 = 40

The square root of 40 is 6.32

To determine if it is appropriate to use the given sample of 120 individuals, with 7 of them having a college degree, to calculate a 95% confidence interval for the percent of all California residents with a college degree, we can apply the rule of thumb for sample size.

The rule of thumb states that for estimating proportions, a sample size should be large enough so that both the number of successes (in this case, individuals with a college degree) and failures (individuals without a college degree) are at least 10.

In the given sample, there are 7 individuals with a college degree. To determine if this meets the rule of thumb, we need to ensure that both the number of successes and failures are at least 10. Since the sample size is 120, the number of failures can be calculated as 120 - 7 = 113.

Since both the number of successes (7) and failures (113) are above 10, the rule of thumb is satisfied. Therefore, it is acceptable to use these numbers to calculate a 95% confidence interval for the percentage of all California residents with a college degree.

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The percentage strength of neomycin in the final compounded product is approximately 2.5%.

To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.

Neomycin (5%) cream: 30g

The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:

Weight of neomycin = 30g × 0.05 = 1.5g

Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:

Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100

Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5

Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.

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Answer:

wut.

Step-by-step explanation:

Step-by-step explanation:

You can imagine this figure as a rectangle and cube

If you want volume of this irregular figure than you have to do it like this:

V(figure)= V(rectangle)+ V(cube)

V(figure)= a*b*c+ a³

V(figure)= 4*3*(I don't see dimension on the left)+ 3³

V(figure)=12*(I don't see dimension on the left)+ 27

And only you have to to do is to set this dimension which I can't see.

Answer:

\(x^4y^2-6x^3y^3 = x^3y^2(x - 6y)\)

Step-by-step explanation:

to pick out common factors, you have to find the highest common denominator. We start by listing units and variables:

we can divide the x^4y^2 by up to x^4 and up to y^2, cannot divide by non-variable numbers

we can divide 6x^3y^3 by up to x^3 and up to y^3, and by 6 if we needed to.

This means that for units, we're not dividing (because we can't simplify x^4y^2 dividing by a bare number.

For x, we can divide both by x^3, because we can divide both by x^3, but cannot divide 6x^3y^3 by x^4 or more.

For y, we can divide both by y^2, because we can divide both by y^2, but cannot divide x^4y^2 by x^3 or more.

We take the x^3y^2 and bring it in front of the brackets.

Disclaimer: when I say "cannot divide" I mean "cannot divide without introducing fractions or negative exponents".

Answer:

The answer is B

Step-by-step explanation:

The equation for a 90 degree clockwise rotation is (x,y) -> (y,-x)

so (-2, 2) -> (2,2). You can also look up "rotation calculator", it really helped me get through this unit haha

Answer:

3x²+8x-35

Step-by-step explanation:

FOIL stands for:

First -> (3x-7)(x+5)

Outer -> (3x-7)(x+5)

Inner -> (3x-7)(x+5)

Last -> (3x-7)(x+5)

Following FOIL, we get:

(3x-7)(x+5)

(3x)(x)+(3x)(5)+(-7)(x)+(-7)(5)

3x²+15x-7x-35

3x²+8x-35

Therefore, the expanded form is 3x²+8x-35

The total number of tires in the parking lot, is (13×2)+(98×4)=t.

There are 13 bikes and each bike has 2 tires,

so the number of bike tires = number of bikes × number of tires

Thus,  number of bike tires = 13×2.

There are 98 cars and each car has 4 tires,

so the number of car tires = number of cars × number of tires

Thus,  number of car tires = 98×4.

To find the total number of tires (t),

add the number of bike tires and car tires together: (13×2)+(98×4)

Thus, t = (13×2)+(98×4)

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$167,925 is the total value of the plumber's liabilities

To find the total value of the plumber's liabilities

we need to add up the amounts of the mortgage, credit card balance, and kitchen renovation loan.

Total liabilities = Mortgage + Credit card balance + Kitchen renovation loan

Total liabilities = $149,367 + $6,283 + $12,275

Total liabilities = $167,925

so the total value of the plumber's liabilities is $167,925.

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The journaliztion of the  the adjusting entries needed for the previous items affecting Laughter Landscaping on December 31 is made.

To journalize the adjusting entries needed on December 31 for the previous items affecting Laughter Landscaping, you would make the following entries:

b. DR Insurance Expense, $4,500
  CR Prepaid Insurance, $4,500

c. DR Office Supplies Expense, $6,800
  CR Office Supplies, $6,800

d. DR Unearned Revenue, $4,200
  CR Service Revenue, $4,200

c. DR Accounts Receivable, $3,000
  CR Service Revenue, $3,000

f. DR Depreciation Expense - Equipment, $3,700
    CR Accumulated Depreciation - Equipment, $3,700

  DR Depreciation Expense - Trucks, $1,300
    CR Accumulated Depreciation - Trucks, $1,300

g. DR Interest Expense, $300
  CR Interest Payable, $300

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Answer:  The correct answer is 5a^3b^3 − 4a^2b^4 + ab^5

Step-by-step explanation:

ab^3 (5a^2 − 4ab + b^2)

Multiply together:

(ab^3)*(5a^2 + −4ab + b^2)

(ab^3)*(5a^2) + (ab^3)*(−4ab) + (ab^3)*(b^2)

= 5a^3b^3 − 4a^2b^4 + ab^5

Answer:

\(5a^3b^3-4a^2b^4+ab^5\)

Step-by-step explanation:

Given expression:

\(ab^3(5a^2-4ab+b^2)\)

Apply the distributive property  a(b - c + d) = ab - ac + ad :

\(\implies ab^3 \cdot5 a^2-ab^3 \cdot 4ab+ab^3 \cdot b^2\)

Collect like terms:

\(\implies 5aa^2b^3-4aabb^3+ab^2b^3\)

Apply the exponent rule  a = a¹ :

\(\implies 5a^1a^2b^3-4a^1a^1b^1b^3+a^1b^2b^3\)

\(\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:\)

\(\implies 5a^{(1+2)}b^3-4a^{(1+1)}b^{(1+3)}+a^1b^{(2+3)}\)

Simplify:

\(\implies 5a^3b^3-4a^2b^4+ab^5\)

Answer:

\(\frac{1}{5^6}\)

Step-by-step explanation:

Given the expression (5⁻²)⁵ ₓ 5⁴

According to indices

(a^m)^n = a^{mn}

(5⁻²)⁵ = (5⁻¹⁰)

(5⁻²)⁵ ₓ 5⁴

= 5⁻¹⁰ ₓ 5⁴

= 5⁻¹⁰⁺⁴

= 5⁻⁶

Hence the equivalent expression is \(\frac{1}{5^6}\)

Answer:

a9

Step-by-step explanation:

5+4= 9 and its the same variable.

Answer:

should be C

Step-by-step explanation:

Answer:

C

Step-by-step explanation: took the test

Answer:

$50

Step-by-step explanation:

Given data

Cost of sushi= $40

Tax= 5%

Tip= 20%

Let us find the amount of the tax and the tip

Tax

=5/100*40

=0.05*40

=$2

Tip

=20/100*40

=0.2*40

=$8

Hence the total amount paid is

=40+2+8

=$50

Answer:

$50

Step-by-step explanation:

To avoid confusion, we can solve for the sales tax and the tip separately.

Tip

Tax

Total

Answer:

4x=5

Step-by-step explanation:

We need to write the equation for the statement "Four times the length of a segment x is 5 ft".

Four times of x can be written mathematically as : 4x .

It is equal to 5 ft.

The equation should be :

4x=5

Hence, the above is the equation for the given statement.

Answer:

\(\fbox{x=4.5}\)

Step-by-step explanation:

\( \frac{ \frac{3}{8}}{ \frac{2}{3} } = \frac{ \frac{3}{8}}{ \frac{3}{x} } \)

Multiplying LHS & RHS with 3/8,

\(\frac{1}{\frac{2}{3}} = \frac{1}{\frac{3}{x}}\)

Taking reciprocal both the side,

\( \frac{3}{2} = \frac{x}{3} \)

Cross multiplying and dividing,

\(9 = 2x \\ x= \frac{9}{2} \\ x= 4.5\)

\(\fbox{x=4.5}\)

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The length of the missing side (hypothenuse) is equal to 5

"Information available from the question"

Opposite side of the triangle(y) = 3

Adjacent side of the triangle (z)= 4

Hypothenuse side of the triangle = x

Pythagorean Theorem

This formula is used to find the missing side of a right angle triangle if two sides are given.

\(x^{2} =y^2+z^2\)

Let's substitute the values into the formula and solve for the hypothenuse

\(x^{2} =3^2+4^2\)

\(x^{2}\) = 9 + 16

\(x^{2}\) = 25

\(x=\sqrt{25}\)

x = 5

The length of the missing side (hypothenuse) is equal to 5.

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The equation of the tangent plane to the graph of \(f(x,y) = \ln(5x^2 - 2y^2)\) at the point (1,1) can be found by taking partial derivatives, evaluating them at the given point, and using the equation of a plane. The equation of the tangent plane is \(z = f(1,1) + \frac{{\partial f}}{{\partial x}}(1,1)(x - 1) + \frac{{\partial f}}{{\partial y}}(1,1)(y - 1)\).

To find the equation of the tangent plane, we need to compute the partial derivatives of \(f(x,y)\) with respect to \(x\) and \(y\).

First, we differentiate \(f(x,y)\) with respect to \(x\). Using the chain rule, we get \(\frac{{\partial f}}{{\partial x}} = \frac{{2x}}{{5x^2 - 2y^2}}\).

Next, we differentiate \(f(x,y)\) with respect to \(y\). Again, using the chain rule, we get \(\frac{{\partial f}}{{\partial y}} = \frac{{-4y}}{{5x^2 - 2y^2}}\).

Now, we evaluate the partial derivatives at the point (1,1):

\(\frac{{\partial f}}{{\partial x}}(1,1) = \frac{{2}}{{5 - 2}} = \frac{{2}}{{3}}\),

\(\frac{{\partial f}}{{\partial y}}(1,1) = \frac{{-4}}{{5 - 2}} = -\frac{{4}}{{3}}\).

Finally, we can write the equation of the tangent plane as:

\(z = f(1,1) + \frac{{\partial f}}{{\partial x}}(1,1)(x - 1) + \frac{{\partial f}}{{\partial y}}(1,1)(y - 1)\).

Substituting the values, we have:

\(z = \ln(5 - 2) + \frac{{2}}{{3}}(x - 1) - \frac{{4}}{{3}}(y - 1)\).

Simplifying further, we obtain the equation of the tangent plane to be:

\(z = \frac{{2}}{{3}}(x - 1) - \frac{{4}}{{3}}(y - 1)\).

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Answer:

a=5

Step-by-step explanation:

2a+2=12

2a=10

a=5