Use the equation machine to help you solve the multiplication equation. 14a= 84a= ?

The value of the length DF is 17

The statement Triangle ABC = Triangle ADF means that the triangles ABC and ADF are congruent triangles.

So, we have:

AB = AD

AC = A F

BC = DF

Given that BC = 17;

The equation BC = DF becomes

17 = DF

Rewrite as:

DF = 17

Hence, the value of the length DF is 17

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The first hour there will be 18 costumers that will order Turkey sandwiches

Probability

First, we want to find the probability of having a costumer who choose Turkey sandwich.

In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.

Turkey sandwiches: 180

Total number of orders: 160 + 100 + 180 + 60 = 500

Ratio = turkey / total

Ratio = 180 / 500 = 0.36

Then, the probability of having a costumer who choose Turkey sanwich is

P(T) = 0.36 = 36%

Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:

Hence , the first hour there will be 18 costumers that will order Turkey sandwiches

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Answer:

See explanation below.

Step-by-step explanation:

Given transformed function:

\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)

The parent function of the given function is:  y = sin(x)

The five key points for graphing the parent function are:

(See attachment 1)

Standard form of a sine function:

\(\text{f}(x)=\text{A} \sin\left[\text{B}(x+\text{C})\right]+\text{D}\)

where:

Therefore, for the given transformed function:

\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)

See attachment 2.

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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In a case whereby Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined, he is wrong

\(4\frac{2}{4}\) that was given in the question can be seen as mixed fraction, we can expressed this as improper fraction so that it will be easier to handle.

\(4\frac{2}{4} = \frac{16+4}{2}\)

=\(\frac{18}{4}\)

Then \(4 + 5\frac{1}{4} = \frac{16}{4} +\frac{20+1}{4} \\\\=\frac{37}{4}\)

Then after expressing the given fractions as improper fraction we can now compare them so that e will know may be Darren is right or wrong, then here we can see that \(\frac{18}{4}\) is less than \(\frac{37}{4}\) Hence, Darren is wrong.

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Answer:

130 in^2.

Step-by-step explanation:

It has 8 faces

Surface area = 4*2 + 1*2 + 3*2 + 5*2 + 7*2 + 6*2 +  6*7-3 + 6*7-3

= 8+2+6+10+14+12+39+39

= 130 in^2.

Answer:

The length of the hypotenuse is 100.

Step-by-step explanation:

To find the length of the hypotenuse, we use the following formula:

c=\(\sqrt{a^2+b^2}\)

c=\(\sqrt{28^2+96^2}\)

c=\(\sqrt{10,000}\)

c=100

Therefore, the length of the hypotenuse is 100.

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

56

Answer:

She has enough money to buy 5 crabs.

Step-by-step explanation:

Subtract the total of the 3 fish she is buying from the amount of money she has:

85 - (12 + 13 + 14) = 85 - 39 = 46

She has $46 to spend on crabs.

Divide the amount she has to spend by the price on one crab:

46 / 8 = 5.75

Since it isn't a whole number you need to round down, since she cant buy 0.75 of a crab.

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Linear functions are used to represent equations of straight lines

The linear equation is: \(\mathbf{y= - \frac{5}{8}x + 15}\)

From the question (see attachment), we have:

\(\mathbf{(x_1,y_1) = (5,11\frac 78)}\)

\(\mathbf{(x_2,y_2) = (8,10)}\)

Calculate the slope (m) using:

\(\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

So, we have:

\(\mathbf{m = \frac{10 - 11\frac{7}{8}}{8-5}}\)

\(\mathbf{m = \frac{- 1\frac{7}{8}}{3}}\)

Express as improper fraction

\(\mathbf{m =- \frac{15/8}{3}}\)

\(\mathbf{m =- \frac{5}{8}}\)

The equation is then calculated as:

\(\mathbf{y= m(x -x_1)+ y_1}\)

So, we have:

\(\mathbf{y= - \frac{5}{8}(x - 8) + 10}\)

\(\mathbf{y= - \frac{5}{8}x + 5 + 10}\)

\(\mathbf{y= - \frac{5}{8}x + 15}\)

Hence, the linear equation is: \(\mathbf{y= - \frac{5}{8}x + 15}\)

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9514 1404 393

Answer:

  -26, -25

Step-by-step explanation:

The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.

Hence, one is -26 and one is -25.

Answer:

1084.83932813 which you would round to 1085

The line segment FG represent the volume of water decreases in Katherine's water bottle.

From the given graph, x-axis represents the distance from home (km) and the y-axis represents the volume (L).

The line segment FG represent the volume of water decreases in Katherine's water bottle, the line segment HI represent the volume of water increases in Katherine's water bottle and the line segment KL represents there is no change in water level.

Therefore, the line segment FG represent the volume of water decreases in Katherine's water bottle.

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Answer:

yes get that one 0.78.10

Step-by-step explanation:

The standard deviation by the given  probability distribution is 3.3412.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

x P(x)

−5 0.17

−3 0.21

−1 0.09

3 0.23

5 0.23

7 0.07

Now,

To find the standard deviation, we need to use the formula:

standard deviation = sqrt[∑(x - μ)²P(x)]

where μ is the expected payout.

We have already calculated μ to be 0.76. Using this value and the given probabilities, we can calculate the standard deviation as:

standard deviation = sqrt[( (-5 - 0.76)² * 0.17) + ((-3 - 0.76)² * 0.21) + ((-1 - 0.76)² * 0.09) + ((3 - 0.76)² * 0.23) + ((5 - 0.76)² * 0.23) + ((7 - 0.76)² * 0.07)]

=3.3412

Therefore, by the given data the standard deviation will be 3.3412.

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Answer:

Step-by-step explanation:

2x^2 + 9x + 4=0

2x^2+8x+x+4=0

2x(x+4) +1 (x+4) =0

2x+1 = 0

x+ 4 =0

2x= -1

x= -1/2

x=-4

Therefore x = -4 and x = -1/2

Answer:

sept one

Step-by-step explanation:

Answer:

43.6 has 3 significant figures.

Answer:

Step-by-step explanation:

if its x to the second power:

(3)^2-5(3)+8= 9-15+8=17-15=2

if it is 2x

2(3)-5(3)+8=6-15+8 =-1

Answer:

12

Step-by-step explanation:

12-8=4

p=12

Answer:

p is equal ro 12

Step-by-step explanation:

4=p-8

add 8 to both sides and you get 12=p

The new carpet will cοst $1,908.00.

The size οf a regiοn οn a surface is measured by its area. While surface area refers tο the area οf an οpen surface οr the bοundary οf a three-dimensiοnal οbject, the area οf a plane regiοn οr plane area refers tο the area οf a shape οr planar lamina.

Area can be interpreted as the quantity οf material with a particular thickness required tο create a mοdel οf the shape οr as the quantity οf paint required tο cοmpletely cοver a surface in a single cοat. It is the twο-dimensiοnal equivalent οf the vοlume οf a sοlid οr the length οf a curve (a οne-dimensiοnal cοncept) (a three-dimensiοnal cοncept).

The area οf the classrοοm is the square οf the length οf its side, which is:

6 yards × 6 yards = 36 square yardsTο find the cοst οf the new carpet, we need tο multiply the area οf the classrοοm by the cοst per square yard:

36 square yards × $53.00/square yard = $1,908.00

Therefοre, the new carpet will cοst $1,908.00.

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\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

15

Step-by-step explanation:

3/8 = 9

9÷3= 3

the remainder of 3/8 is 5/8 so

5x3=15

Answer:

x + y = -6

Step-by-step explanation:

Answer:

y = -x-6

Step-by-step explanation:

For this problem we use point-slope formula:

y-y1 = m (x2-x1)

When we plug in our values, it looks like this:

y-(-1) = -1 (x-(-5))

When we rearrange into slope-intercept form, we get this:

y = -x-6

HTH :)

The general expression for the quadratic function is :

where, Vertex : (h, k) and h = -b/2a and k = f(h)

In the given question the vertex is ( -1, 3)

Substitute the value of the h = -1 and k = 3

Thus :

The expression for the quadratic expression is :

f(x) = 1/9(x + 1)² + 3

Answer : f(x) = 1/9(x + 1)² + 3

Answer:

X=-√7 and √7

Step-by-step explanation:

To solve the equation 6x² - 42 = 0, we can begin by rearranging it to isolate the variable term:

6x² = 42

Then, we can divide both sides by 6:

x² = 7

To get the exact values of x, we need to take the square root of both sides:

x = ±√7

Therefore, the exact values of x are √7 and -√7.

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Answer:

$32.50

Step-by-step explanation:

Answer:

32.5

Step-by-step explanation:

65= 2 hours.

65÷2=32.5

The given data in the table represents a function for x and y variables.

A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.

Given data is shown below in the table,

X            Y

0            3

1             7

2            -8

3            72

4            42

For the function, the input variable should give different outputs at the different inputs and the same output at the same input.

Here in the table for every value of input variable x, there is a different value of output variable y. So it is a function.

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1. Relation 1 is a function

2. Relation 2 is a function

3. Relation 3 is not a function

4. Relation 4 is a function

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

The relations (1) to (4)

Relation (1)

This relation is a function

This is because each range value point to unique domain values

Relation (2)

This relation is a function

This is because each range value point to unique domain values

Relation (3)

This relation is not a function

This is because domain values w have different range values.

Relation (4)

This relation is a function

This is because each range value point to unique domain values

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