Convert 48°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
=C59−F32
=F+95C32

Answer:

-5,-4.9,-4.35,-4.3,-4

Step-by-step explanation:

Hope this helps :)

Answer:

Length= 19

Width=16

Step-by-step explanation:

(16x2)+(19x2)=70

38+32=70

Answer:

the number of chicken sandwiches = 9

Step-by-step explanation:

let x be the number of chicken sandwiches 

    y be the number of tuna sandwiches

We have to solve this system:

\(\begin{cases}x+y=15&\\ 2.3x+2.4y=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 2.4(15-x)=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 36 -2.4x=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x + 36=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x=-0.9&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ x = 9&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-9=6&\\ x = 9&\end{cases}\)

Answer:

18 years (to the nearest year)

Step-by-step explanation:

Compound interest formula:

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

where A is amount, P is principal, r is interest rate (decimal format), n is the number of times interest is compounded per unit 't', and t is time

Given:

\(\implies 4490=2400(1+\frac{0.035}{12})^{12t}\)

\(\implies \dfrac{449}{240}=\left(\dfrac{2407}{2400}\right)^{12t}\)

\(\implies \ln\dfrac{449}{240}=\ln\left(\dfrac{2407}{2400}\right)^{12t}\)

\(\implies \ln\dfrac{449}{240}=12t\ln\left(\dfrac{2407}{2400}\right)\)

\(\implies t=\dfrac{\ln\dfrac{449}{240}}{12\ln\left(\dfrac{2407}{2400}\right)}\)

\(\implies t=17.92277136...\)

Therefore, it would take 18 years (to the nearest year) for the account to reach $4,490

We are given the following quadratic equation

When we have a quadratic equation of the form:

Then, to complete the square we add and subtract the following expression:

Replacing the value of "b"

Adding and subtracting the term:

Associating terms:

factoring the expression in the first parenthesis:

Solving the operation in the second parenthesis:

Now we solve for "x", first by adding 13 to both sides:

Now, we take square root on both sides:

Now we add 2 to both sides:

We have to possible values for "x", the first value is:

The second value is:

Answer:

4a + 6d

Step-by-step explanation:

3a + 4d + a + 2d

3a + a + 4d + 2d

Answer: 4a + 6d

Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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Answer:

9

Step-by-step explanation:

27/3=9

Answer:

Step-by-step explanation:

10x + 75 ≤ 300

10x ≤ 225

x ≤ 22.50 on decorations

Answer:

x=10,y=120

Step-by-step explanation:

3x-30=60 CDA

3x=30

x=10

again,

y+60=180 straight line

y = 120

The median of the following data is 10

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=\(\frac{1}{2}\)×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

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We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

What is banquet?

A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.

To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.

Let's define the variables:

Let x be the number of adult guests.

Let y be the number of student guests.

Now, let's write the system of inequalities representing the constraints of the situation:

The total number of guests cannot exceed 125: x + y ≤ 125

The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375

To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.

The boundary lines of each inequality are:

x + y = 125 (the line that connects the points (0, 125) and (125, 0))

45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))

To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.

The resulting graph should look like this:

The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

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Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

(a) The probability that O1 gets the Volvo is  3/10 .

(b) The probability that O2 or O5 will get the Volvo is 1/2  .

In the question ,

it is given that ,

the five officials : O1, O2, O3 , O4 , O5 are to be assigned five different city cars: a Escort,  Lexus,  Nissan, the Taurus, and the Volvo .

From the given data , the table formed is shown below .

From the table , we can observe that ,

O1 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities

O2 will not drive the Taurus​ . So, he has chance of getting one car among Escort , Nissan ,Lexus, & Volvo = 4 possibilities

O3 will not drive the Lexus or Volvo​ . So, he has chance of getting one car among Escort , Nissan ,Taurus = 3 possibilities

O4 will not drive the Lexus so he has chance of getting one car among Escort , Nissan ,Taurus, Volvo = 4 possibilities

O5 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities .

The  20 possible arrangements for E,L,N,T,V are :

{ (O2, O1, O3, O4, O5),  (O2, O1, O3, O5, O4),  (O2, O1, O4, O3, O5),  

(O2, O5, O3, O1, O4),  (O2, O5, O3, O4, O1),(O2, O5, O4, O3, O1),  

(O3, O1, O2, O4, O5),  (O3, O1, O2, O5, O4),  (O3, O1, O4, O5, O2),  

(O3, O2, O4, O1, O5), (O3, O2, O4, O5, O1),  (O3, O5, O2, O1, O4),  

(O3, O5, O2, O4, O1),  (O3, O5, O4, O1, O2),  (O4, O1, O2, O3, O5),

(O4, O1, O3, O5, O2),  (O4, O2, O3, O1, O5),  (O4, O2, O3, O5, O1),  

(O4, O5, O2, O3, O1),  (O4, O5, O3, O1, O2)  }

Part(a)  : The probability that O1 gets the Volvo is = 6/20 = 3/10 .

and

Part(b) :

Probability of O2 or O5 gets the Volvo = (Probability of O2 getting Volvo
) + (Probability of O5 getting Volvo) .

= 4/20 + 6/20

= 10/20 = 1/2 .

Therefore , the required probability for (a)  is 3/10 and for (b) is 1/2  .

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The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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Answer:

blah

Step-by-step explanation:

blah + blah = blah

blah x blah = blah

blah / blah = blah

blah - blah = blah

Answer:

x = 20

Step-by-step explanation:

2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7

2x - 10 = 9 - 3x + 6 + 8 + 3x + 7

2x = 10 + 6 + 8 + 7 + 9

2x = 40

x = 40 ÷ 2

x = 20

Thus, x = 20

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Answer:

The probability that a randomly chosen widget weighs more then 19 grams is 0.468.

Step-by-step explanation:

X = Widget weights produced at Acme Widget Works

It is provided that X is normally distributed with mean 17.46 grams and variance 375.67 grams.

Compute the probability that a randomly chosen widget weighs more then 19 grams as follows:

\(P(X>19)=P(\frac{X-\mu}{\sqrt{\sigma^{2}}}>\frac{19-17.46}{\sqrt{375.67}})\)

                  \(=P(Z>0.08)\\\\=1-P(Z<0.08)\\\\=1-0.53188\\\\=0.46812\\\\\approx 0.468\)

Thus, the probability that a randomly chosen widget weighs more then 19 grams is 0.468.

Answer:

k = 6 and k = -4

Step-by-step explanation:

To determine two integral values of k (integer values of k) for which the roots of the quadratic equation kx² - 5x - 1 = 0 will be rational, we can use the Rational Root Theorem.

The Rational Root Theorem states that if a rational number p/q is a root of a polynomial equation with integer coefficients, then p must be a factor of the constant term (in this case, -1) and q must be a factor of the leading coefficient (in this case, k).

Possible p-values:

Possible q-values:

Therefore, all the possible values of p/q are:

\(\sf \dfrac{p}{q}=\dfrac{\pm 1}{\pm 1}, \dfrac{\pm 1}{\pm k}=\pm 1, \pm \dfrac{1}{k}\)

To find the integral values of k, we need to check the possible combinations of factors. Substitute each possible rational root into the function:

\(\begin{aligned} x=1 \implies k(1)^2-5(1)-1 &= 0 \\k-6 &= 0 \\k&=6\end{aligned}\)

\(\begin{aligned} x=-1 \implies k(-1)^2-5(-1)-1 &= 0 \\k+4 &= 0 \\k&=-4\end{aligned}\)

\(\begin{aligned} x=\dfrac{1}{k} \implies k\left(\dfrac{1}{k} \right)^2-5\left(\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}-\dfrac{5}{k}-1 &= 0 \\-\dfrac{4}{k}&=1\\k&=-4\end{aligned}\)

\(\begin{aligned} x=-\dfrac{1}{k} \implies k\left(-\dfrac{1}{k} \right)^2-5\left(-\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}+\dfrac{5}{k}-1 &= 0 \\\dfrac{6}{k}&=1\\k&=6\end{aligned}\)

Therefore, the two integral values of k for which the roots of the equation kx² - 5x - 1 = 0 will be rational are k = 6 and k = -4.

Note:

If k = 6, the roots are 1 and -1/6.

If k = -4, the roots are -1 and -1/4.

The length of one side of the square is 36 meters.In general, the perimeter of a rectangle can be found by adding up the lengths of all four sides.

If we know the length and width of the rectangle, we can use the formula:

Perimeter = 2(length + width)

To find the length of the rectangle using the Pythagorean Theorem, we would need to be given some additional information, such as the width and the length of one of the sides or one of the diagonals. Once we have the length and width of the rectangle, we can use the formula above to find its perimeter.

If the diagonals of a square measure 36 meters, what is the length of a side of the square?(Use Pythagorean Theorem to find the side of the square)

Let s be the length of one side of the square. Since the diagonals of a square are equal in length, we have:

s² + s² = 36²

Simplifying the left-hand side:

2s² = 1296

Dividing both sides by 2:

s² = 648

Taking the square root of both sides:

s = √648 = 18√4 = 36.

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Answer:

what grade are you?....

Answer:

He would make $17680 a year

Step-by-step explanation:

Just multiply 340 by 52 (the amount of weeks in a year) and you get 17680.

Hope this helps!

Answer: $17680

Step-by-step explanation: $340 x 52 weeks = $17680

Hope this Helps!

Answer:

Step-by-step explanation:

Answer:

Y(0,13)

X(13,0)

The electric field at the origin due to two positive charges on the y axis with a charge of 3.8 X 10⁻⁹ located at y = 4.0 cm and y = -4.0 cm is 1.05 X 10⁷ N/C.

What is an electric field?

An electric field is a region in which an electric charge experiences a force. It is created by an electric charge or a changing magnetic field. Electric fields exist everywhere in nature and are vital to the functioning of many electronic devices. Electric fields are also used to describe the motion of electrons in a conductor and the behavior of electric currents.

The electric field at the origin (x=0, y=0) can be calculated using the equation of electric field,

E = k(q1/r1² + q2/r2²)

Where k is the Coulomb's constant, q1 and q2 are the charges and r1 and r2 are the distances from the charges to the origin.

The electric field at the origin can be calculated by substituting the given values in the equation.

The distance from the charge at y = 4.0 cm to the origin is 5 cm and the distance from the charge at y = -4.0 cm to the origin is also 5 cm.

E = 8.988 X 10⁹ (3.8 X 10⁻⁹/25 + 3.8 X 10⁻⁹/25)

E = 8.99 X 10⁹ (3.8 X 10⁻⁹/25)

E = 1.05 X 10⁷ N/C

Therefore, the electric field at the origin due to two positive charges on the y axis with a charge of 3.8 X 10⁻⁹ located at y = 4.0 cm and y = -4.0 cm is 1.05 X 10⁷ N/C.

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Right Question:-

Two positive charges on the y axis has a charge of 3.8 X 10^-9 are located at y, Find electric field at the origin due to two positive charges on the y axis with a charge of 3.8 X 10⁻⁹ located at y = 4.0 cm and y = -4.0 cm?

Answer:

10-9=1

-6+0=-6

Step-by-step explanation:

let's firstly convert the mixed fractions to improper fractions and then get their product.

\(\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{7}}\implies \cfrac{1\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{10}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\cdot \cfrac{10}{7}\implies \cfrac{7}{7}\cdot \cfrac{10}{2}\implies 1\cdot 5\implies 5\)