Solve 2 - ax = -8 for x. Assume a ≠ 0

Answer:

\(<J= cos^{-1} ((I^{2} + K^{2} - J^{2} )/(2IK))\\<J=cos^{-1} (\frac{(25^{2} + 24^{2} - 46^{2}}{(2(25)(24)})\\<J=139.685^{o}\)

the measure of ∠J in ΔIJK is approximately 104 degrees.

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

To find the measure of ∠J in ΔIJK, we can use the Law of Cosines, which states that:

c² = a² + b² - 2ab cos(C)

where c is the side opposite the angle we want to find (in this case, side j), and a and b are the other two sides.

Substituting the given values, we get:

j² = i² + k² - 2ik cos(∠J)

Solving for cos(∠J), we get:

cos(∠J) = (i² + k² - j²) / 2ik

Substituting the given values, we get:

cos(∠J) = (25² + 24² - 46²) / (22524)

cos(∠J) = -0.2395833...

Using a calculator, we can take the inverse cosine of this value to find the measure of ∠J:

∠J ≈ 103.8 degrees

Rounding to the nearest degree, we get:

∠J ≈ 104 degrees

Therefore, the measure of ∠J in ΔIJK is approximately 104 degrees.

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Answer:

c

Step-by-step explanation:

im passed the assgnment

Answer:

by reflection, if you mean swapped, then the answers are A'(1,-6) and B'(4,2)

i hope these are the answers you are looking for

Step-by-step explanation:

Answer: 40 dollars

Step-by-step explanation:

i hope the explanation is right:)

If he invites 5 friends for 40 bucks each then one friend that he knows will go is 40 dollars. So the only thing you have to do for this problem is multiply 40 by the number of friends which in this case i believe is 1.

Answer:

parabola

Step-by-step explanation:

Answer:A. It was graph A for me

Step-by-step explanation:

The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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Answer:

the answer is C.

Step-by-step explanation:

(50+40)/2=45

Answer:

so to average 45mph for 4 hours, he had to drive 4x45 miles total

4x45= 180miles

now we know he drove 120 miles (3x40) in the first 3 hours.

so he drove 180-120= 60 miles in the last hour.

60mph

Answer:

See explanation

Step-by-step explanation:

Given

\(27 + 38\)

Required

What number is missing in the workings?

The steps is not given. So, I'll solve from scratch

Using compensation to add numbers, we add an imaginary number to one of the number being added.

The aim of this imaginary number is to round up the digit to a multiple of 10.

So:

\(27 + 38\) becomes

\(27 + (38 + 2)\)

In this case the added number is (2) ... Note that this (2) will be subtracted after the addition has been completed

\(27 + (38 + 2)\) =  \(27 + 40\)

\(27 + (38 + 2) = 67\)

Subtract the added (2)

\(67 - 2 = 65\)

Hence:

\(27 + 38 = 65\)

So, the missing number in Ethan's workings could have been 2

Answer: $192.50

Step-by-step explanation:

wages for 40 hrs + wages for overtime work

$160.00 + 6hrs × $5.00 + $2.50 (1/2 hrs)

$192.50

Credit: anjalijalan3126

Answer:

Step-by-step explanation:

Answer:

the confidence interval is 1.2282 and 0.269

Step-by-step explanation:

n = 7

the mean of the sample =

0.59+0.68+0.10+0.98+1.37+0.55+0.97/7

= 5.25/7

= 0.74857= 0.7486

the standard dev!aton of the sample

= √(0.59-0.7486)²+(0.68-0.7486)²+(0.1-0.7486)²+(0.98-0.7486)²+(1.37-0.7486)²+(0.55-0.7486)²+(0.97-0.7486)²/n-1

= √0.02515+0.0047+0.4206+0.0535+0.3861+0.03944+0.0490/6

= √0.9786/6

= √0.163083

= 0.4038

degree of freedom = 7-1= 6

crtcal value at 2% significance and df of 6 = 3.143

confidence interval =

0.7486±3.143(0.4038/√7)

= 0.7486±3.143(0.1526)

0.7486+0.4796 = 1.2282

0.7486-0.4795 = 0.269

=

The correct answer is 4/5

(-inf, 1]

Personal comment

Sorry this took so long

In short, you had it flipped, always put your smallest value first and your largest value second.

Reason:

Interval notation is

[(minima, maxima)]

Which is basically saying the minimum and the maximum, and as such you always end up having the smallest value first.

Putting the reasoning together;

A negative is always less than a positive in practice, therefore, your negative infinity should go first.

Hope this helps :)

The number of possible outcomes that Event E has is 33.

The 36 possible conclusions when rolling two dice is given in the image.

Now, we need to find the event where the sum of two rolled dice is greater than 3

Then, from the outcomes given above we can write those pair whose sum is greater than 3 as

1 + 3=4

1 + 4= 5

1+ 5 = 6

1 + 6 = 7

2+ 2 = 4

2 + 3 = 5

2 + 4 =6

2 + 5 = 7

2 + 6 = 8

3 +3=6

3 + 4 = 7

3 + 5 =8

3 + 6 =9

4 + 3 =7

4 + 4=8

4 + 5 = 9

5+ 5 = 10

5 + 6= 11

6 + 6 = 12

So, there are 33 outcomes whose sum is greater than 3.

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Answer:

Explanation:

From the given graph, we can state the coordinates of the vertices of the quadrilateral as;

Note that if a point P(x, y) is reflected across the x-axis, the image will be P'(x, -y)

Applying the above to the given coordinates of the vertices, the coordinates of the image of quadrilateral will be;

We can go ahead and use the above coordinates to draw the reflection of the given quadrilateral as seen below;

Answer: 15 inches

Step-by-step explanation:if 6 units is 10 cm than half of that is 5 so add those together and BOOMM 15 ur welcome

The domain will be all real numbers, range will be all real numbers below -3

The domain is the input value for which a function exists while the range is the output value for which a function exist.

Given the function  f(x) = -(x+3)(x - 1)

From the graph you can see that the quadratic graph goes forever left and right but the vertex has a y value of -3 showing that it is a negative sloped graph, so anything below that is in the range.

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SOLUTION

Using Distributive property to write an equivalent expression.

Equivalent expression: 4 x + 8 = 4 ( x + 2 )

----------- ( Here, Multiplication is distributive over Addition )

Answer:

answer is

24=12

solution

3(-2x+2x+8)=12

3(8)=12

24=12

2is a answer

The maximum profit that for the equation p(x) = 2800x - 85x² - x³ - 109000 is $672500

An exponential equation is an expression that shows how numbers and variables using mathematical operators.

Given the profit function:

p(x) = 2800x - 85x² - x³ - 109000

The profit is maximum at:

p'(x) = 0

p(x) = 2800 + 170x - 3x²

2800 + 170x - 3x² = 0

x = 70

p(70) = 2800(70) - 85(70)² - (70)³ - 109000 = 672500

The maximum profit is $672500

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The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.

Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,

x / y = (1/2) / (1/3)

x / y = 3/2                        ...1

x + y = 5                          ...2

From equations 1 and 2, then we have

(3/2) y + y = 5

(5/2) y = 5

y = 2 quart

Then the value of 'x' is given as

x + 2 = 5

x = 3 quart

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

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a. The function, (f + g)(x), is evaluated as: (f + g)(x) = 5x + 11

b. The function (f + g)(5) = 36

c. (f + g)(5) = 36 means in 5 months, the total number of animals adopted at the two shelters is 36.

We can evaluate functions just as we solve normal algebraic equations when we plug in the given value of a variable.

Given the following:

f(x) = 4x + 9 [number of animals at one shelter]

g(x) = x + 2 [number of animals at another shelter

Part A: Find (f + g)(x)

(f + g)(x) = f(x) + g(x) = 4x + 9 + x + 2

Combine like terms:

(f + g)(x) = 5x + 11

Part B: Find (f + g)(5)

Substitute the x = 5 into the function (f + g)(x)

(f + g)(5) = 5(5) + 11

(f + g)(5) = 25 + 11

(f + g)(5) = 36

Part C: It means in 5 months, the total number of animals adopted at the two shelters is 36.

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Answer:

Answer is 2

Step-by-step explanation:

To get rid of the fraction:

5*4x-5 =3

5

4x-5=3

4x=3+5

4x=8

x=2

Step-by-step explanation:

It should be 5x4= 20

-5=15

15÷5

=3

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as:

Area = πr²

The total sector of a circle is 360°

The area of the sector of 270° is 37.68 square meters.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as:

Area = πr²

We have,

The radius of the circle = 4 m

The total sector of a circle is 360°

The area of the sector with 270°.

= (270°/360°) x πr²

= 0.75 x πr²

= 0.75 x 3.14 x 4²

= 37.68

= 37.7 square meters

Thus,

The area of the sector of 270° is 37.68 square meters.

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The sketch of the front elevation and the side elevation of the prism are added as an attachment

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

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

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Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

Answer:

number 2 is your answer for your problem

Therefore , the solution of the given problem of expressions comes out to be  potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

Instead of producing estimates at random, it is preferable to use expanding, decreasing, & blocking moving numbers. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In addition to arithmetic operations like addition, negation, synthesis, and combination, a truth statement may also contain formulas, components, and notations. It is feasible to evaluate and analyse both sentences as words.

Here,

The gravitational potential energy of the bird at a height of 550m can be determined using the following formula, assuming you meant to say "0.52 kg bird" instead of "0.52k bird":

Mass times gravity times height equals gravitational potential energy.

where mass is measured in kilogrammes, gravity is the force of gravity, which accelerates objects near the Earth's surface at a rate of around 9.81 m/s2, and height is measured in metres.

Inputting the values provided yields:

The gravitational potential energy is equal to

=> 0.52 kg * 9.81 m/s2 *550 m,

=> 2,798.46 joules.

Hence, the bird's gravitational potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

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