Which shapes will have an area of 24 m2, CHOOSE ALL THAT APPLY
(A) a triangle with a base of 6m and height of 4m
(B) a parallelogram with a base of 48m and a height of 0.5m
(C) a trapezoid with bases 9m and 3m and height of 4m
(D) a triangle with a base of 8m and a height of 3m

Answer:

  $4918

Step-by-step explanation:

You want the tax owed on $90,000 using the given tax rate table.

The tax is the sum of the amounts of tax due in each income range.

  tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)

  = 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))

  = 0.0575(90,000) -(127.50 +100 +30)

  = 5175 -257.50 = 4917.50

Rounded to the nearest dollar, the tax due is $4,918.

__

Additional comment

The tax will be the maximum of ...

You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.

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Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)

Answer:

20

Step-by-step explanation:

Answer:

You answer is 20, Blessings :]

Step-by-step explanation:

Answer:

a(A) = 0

Step-by-step explanation:

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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By using a system οf equatiοns, the schοοl makes 180 chicken sandwiches, 180 turkey sandwiches, and 140 rοast beef sandwiches.

A system οf equatiοns is a set οf twο οr mοre equatiοns that need tο be sοlved tοgether tο find the values οf the variables that satisfy all οf the equatiοns.

Let's use a system οf equatiοns tο sοlve the prοblem.

Let c be the number οf chicken sandwiches sοld, t be the number οf turkey sandwiches sοld, and r be the number οf rοast beef sandwiches sοld.

Frοm the prοblem, we knοw that:

c + t + r = 500 (the tοtal number οf sandwiches sοld is 500)

3c + 3.5t + 4r = 1730 (the tοtal revenue frοm selling all sandwiches is $1730)

We alsο knοw that the cafeteria makes the same number οf chicken sandwiches as it dοes turkey sandwiches, sο: c = t

Nοw we can substitute c fοr t in the first twο equatiοns:

c + c + r = 500

3c + 3.5c + 4r = 1730

Simplifying these equatiοns, we get:

2c + r = 500

6.5c + 4r = 1730

We can sοlve fοr r in the first equatiοn:

r = 500 - 2c

Substituting this intο the secοnd equatiοn and sοlving fοr c, we get:

6.5c + 4(500 - 2c) = 1730

6.5c + 2000 - 8c = 1730

-1.5c = -270

c = 180

Sο the cafeteria sells 180 chicken sandwiches and 180 turkey sandwiches (since c = t). We can find the number οf rοast beef sandwiches by substituting c and t intο οne οf the οriginal equatiοns:

c + t + r = 500

180 + 180 + r = 500

r = 140

Therefοre, the schοοl makes 180 chicken sandwiches, 180 turkey sandwiches, and 140 rοast beef sandwiches.

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Answer:

The common denominator of \(y + \frac{y-3}{3}\) is 3

Step-by-step explanation:

Given

The complex fraction

Required

The common denominator

To solve this, we need not consider the whole complex fraction.

We only consider

\(y + \frac{y-3}{3}\)

Take LCM

\(y + \frac{y-3}{3} = \frac{3y - (y-3)}{3}\)

Single out the denominator, i.e. 3

Hence, the common denominator of \(y + \frac{y-3}{3}\) is 3

Answer:

-4 1/6

Step-by-step explanation:

Answer:

-25/6

Step-by-step explanation:

17 (-1/6) +8 (-1/6)

-17/6 + -8/6

-25/6

The number of square meters that the space that Araceli rents is, is 30. 66 square meters.

The space that Araceli rents has a rectangular space so to find the area of the rectangular space that Araceli rents, we need to multiply the length by the width.

The given width is 4. 2 meters and the length is 7. 3 meters.

The area of the space in square meters is therefore :

Area = Length × Width

Area = 7. 3 meters × 4. 2 meters

Area = 30. 66 square meters

In conclusion, the space that Araceli rents has an area of 30. 66 square meters.

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An equation of this line in slope-intercept form is y = x - 1.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (-1, -2) and a slope of -1, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-2) = -1(x - (-1))  

y + 2 = x + 1

y = x + 1 - 2

y = x - 1

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Complete Question:

Write an equation of a line through point (-1, -2) with a slope of -1.

Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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Answer:

6x-3=15

Step-by-step explanation:

The proportions of progeny of each phenotype produced for this cross is 50% Gl in first crossing and 50% Lg in second crossing.

Gl/gl x GL/gl You've discovered a new plant species in which green fruit colour (g) is recessive to yellow fruit colour (G), and long fruit shapeのis recessive to round fruit shape (L) Reset Help

0% 3% 6% 12% 22% 44% 53% 1. yellow, round The genes for fruit colour and shape are located on the same chromosome and are 12 mu apart 2 yellow, long 4. green, long

After realising it, the crossings are

Gl * Gl

GG, Gl, Gl, ll

gl * gl

gg, Lg, Lg, LL

Therefore, the proportions of progeny of each phenotype produced for this cross is 50% Gl in first crossing and 50% Lg in second crossing.0% 3% 6% 12% 22% 44% 53% 1. yellow, round The genes for fruit colour and shape are located on the same chromosome and are 12 mu apart 2 yellow, long 4. green, long

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Answer:

By multiplying both side with the inverse of the coefficient of x

Step-by-step explanation:

coefficient of x = -6/4

inverse of coeefficient =-4/6.

multiply both sides.

x = 12(-4/6) = -8

Answer:

4 1/2 minutes

Step-by-step explanation:

.

Answer:

a. E(X) = 0.333 minutes

b. \(\mathbf{\sigma_x =0.333 \ minutes}\)

c.  0.9986

Step-by-step explanation:

a.

To find the mean time between counts

Let X be the random variable that illustrates the time between the successive log-ons, then X is exponential with the rate \(\lambda = 3\) log-ons per minute.

i.e.

\(E(X) = \dfrac{1}{\lambda}\)

\(E(X) = \dfrac{1}{3}\)

E(X) = 0.333 minutes

b. Since X is attributed to an exponential distribution, The standard deviation between counts is:

\(\sigma_x = \dfrac{1}{3}\)

\(\mathbf{\sigma_x =0.333 \ minutes}\)

c.

Given that;

The average number of count per minute = 3

The value of X such that P(X < x) = 0.95 can be calculated as;

\(\int \limits ^x_0 \lambda e^{-\lambda t}= 0.95\)

\(3\int \limits ^x_0 \lambda e^{3 t}= 0.95\)

\(\bigg [ -e^{3t}\bigg ]^x_0 = 0.95\)

\(e^{3t} = 1-0.95\)

-3x = ㏑ (0.05)

-3x = - 2.9957

x = -2.9957/ -3

x = 0.9986

The value of x = 0.9986

Answer:

a) 3

b)3

c) 8.9872

Step-by-step explanation:

a) According to the question, mean is 3.

b) Since it is an exponential distribution, standard deviation equals to mean. Therefore, the answer is 3.

c) P[x<X]=0.95

f(x)= λ*e^(-λ*x)

∫f(x)dx, 0 to x

mean = 1/λ =3. So, λ= 1/3.

∫(1/3)*e^(-x/3)dx= 1/3*e^(-x/3)/(-1/3)=-e^(-x/3) 0 to x

-e^(-x/3)+1 = 0.95

-e^(-x/3)=-0.05

x/3=ln(0.05)

x=ln(0.05)*3= 8.9872

The Arithmetic means will be inserted between 1 and 36 such that the

sum of the resultant arithmetic progression will be 148 is 8.

The distinction between the 2 arithmetic orders is a constant value in Arithmetic Progression (AP). Another name for it is Arithmetic Sequence.

We'd arrive along all a few key words in AP, which were denoted as:

The AP can also be defined in terms of common distinctions, as illustrated below.

Now, for the stated question;

Assume the first term is'a₁' = 1.

The last term of the series that is nth term is 'a₃₆'.

The sum of all digits between 1 and 36 is given as 148.

Thus, Sn = 148

Substitute the value in the sum formula.

Sn = (n/2)×(a₁ + a₃₆)

148 = (n/2)×(1 + 36)

148 = (n/2)×(37)

n = (148×2)/37

n = 8.

Thus, the total number of Arithmetic means that can be inserted between 1 and 36 is 8.

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Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

Answer:

9000

Step-by-step explanation:

I did 15000 divided by 10 x 6

Hope this helped!

Answer:

take a look ...........

The range, in centimetres (cm), of the following lengths is 20.5 cm

What is the range?

The difference between the lowest and highest numbers is referred to as the range. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3.

As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.

Given, 15 cm, 0.5 cm, 10.3 cm, 16.7 cm, 21 cm, 8.6 cm

So, the highest value of length = 21 cm

the lowest value of length = 0.5 cm

Then, range = the highest value - the lowest value

                    = 21 - 0.5 = 20.5 cm

Hence, the range, in centimetres (cm), of the following lengths is 20.5 cm

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For a vector-valued function

\(\mathbf f(\mathbf x)=\mathbf f(x_1,x_2,\ldots,x_n)=(f_1(x_1,x_2,\ldots,x_n),\ldots,f_m(x_1,x_2,\ldots,x_n))\)

the matrix of partial derivatives (a.k.a. the Jacobian) is the \(m\times n\) matrix in which the \((i,j)\)-th entry is the derivative of \(f_i\) with respect to \(x_j\):

\(D\mathbf f(\mathbf x)=\begin{bmatrix}\dfrac{\partial f_1}{\partial x_1}&\dfrac{\partial f_1}{\partial x_2}&\cdots&\dfrac{\partial f_1}{\partial x_n}\\\dfrac{\partial f_2}{\partial x_1}&\dfrac{\partial f_2}{\partial x_2}&\cdots&\dfrac{\partial f_2}{\partial x_n}\\\vdots&\vdots&\ddots&\vdots\\\dfrac{\partial f_m}{\partial x_1}&\dfrac{\partial f_m}{\partial x_2}&\cdots&\dfrac{\partial f_n}{\partial x_n}\end{bmatrix}\)

So we have

(a)

\(D f(x,y)=\begin{bmatrix}\dfrac{\partial(e^x)}{\partial x}&\dfrac{\partial(e^x)}{\partial y}\\\dfrac{\partial(\sin(xy))}{\partial x}&\dfrac{\partial(\sin(xy))}{\partial y}\end{bmatrix}=\begin{bmatrix}e^x&0\\y\cos(xy)&x\cos(xy)\end{bmatrix}\)

(b)

\(D f(x,y,z)=\begin{bmatrix}\dfrac{\partial(x-y)}{\partial x}&\dfrac{\partial(x-y)}{\partial y}&\dfrac{\partial(x-y)}{\partial z}\\\dfrac{\partial(y+z)}{\partial x}&\dfrac{\partial(y+z)}{\partial y}&\dfrac{\partial(y+z)}{\partial z}\end{bmatrix}=\begin{bmatrix}1&-1&0\\0&1&1\end{bmatrix}\)

(c)

\(Df(x,y)=\begin{bmatrix}y&x\\1&-1\\y&x\end{bmatrix}\)

(d)

\(Df(x,y,z)=\begin{bmatrix}1&0&1\\0&1&0\\1&-1&0\end{bmatrix}\)

Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

Meaning of probability :

Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.

The analysis of events governed by probability is called statistics.

According to the given information :

Red section = \(\frac{2}{5}\)

multiply numerator and denominator by \(2\) we get

Red section = \(\frac{4}{10}\)

 Blue section = \(\frac{1}{2}\)

 multiply numerator and denominator by \(5\) we get

 Blue section = \(\frac{5}{10}\)

 Green section = \(1\)- Red section - Blue section

 Green section =\(1-\frac{4}{10} -\frac{5}{10}\)

  Green section = \(\frac{1}{10}\)

Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

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Answer:

1) B

2) B

Step-by-step explanation:

1) funtion 1 slope is 4

function 2 we use y2-y1/x2-x1

10-6/3-1

4/2

2 is the slope of function 2

so function 1 is bigger

1) only b is correct because it lands on the same line of y=x

hopes this helps please mark brainliest

Answer:

Answer:

3 days

Step-by-step explanation:

hope u understand

Answer:

r  =   -3

Step-by-step explanation:

The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.