Let p: x < −3 Let q: x > 3 What is represented by p ∨ q? x < −3 and x > 3 x > 3 or x < −3 If x < −3, then x > 3 x < −3 if and only if x > 3

To evaluate [tex]\log _{\frac{1}{3}}27[/tex] note that:

Use following properties:

1) [tex]\log_ab^k=k\log_ab;[/tex]

2) [tex]\log_{a^k}b=\dfrac{1}{k}\log_ab.[/tex]

Then

[tex]\log _{\frac{1}{3}}27=\log_{3^{-1}}3^3=3\log_{3^{-1}}3=3\cdot \dfrac{1}{-1}\log_33=-3\log_33.[/tex]

Since [tex]\log_aa=1,[/tex] you have

 [tex]\log _{\frac{1}{3}}27=-3.[/tex]

Answer:

a on edge

Step-by-step explanation:

22. 28 minus(eats) 6 is 22.

So,

-2m+5=-2m-5

-2m + 2m = -5 - 5

0 = -10

which is no solution.

Therefore, the required equation is -2m + 5 = -2m - 5.

Final answer:

To find the total amount of the two components, add the fractions together. The total amount of the two components combined is 7/24 cup.

Explanation:

To find the total amount of the two components, we need to add the fractions together. The common denominator of 6 and 8 is 24. So, we have 1/6 cup of water which is equivalent to 4/24 cup, and 1/8 cup of the secret component which is equivalent to 3/24 cup. Adding these fractions together, we get a total of 7/24 cup of the two components combined.

Hello!

To look for squareroots, we need to find a solution for us that can help us solve the problem.

The most common way to solve for a squareroot is by factoring.

If this case, we can see that D. 7.1 is the closest approximation to the root of 51.

5/9, when square rooting fractions like these, you square root them seperatly. Square root of 25 is 5 and square root of 81 is 9.

Answer:

49:5

Explanation

Write the quantity of fans in the order of which you are doing the ratio for (TIP - Replace the word "to" with ":") = Football Fans : Hockey Fans = 49:5

The correct ratio of football fans to hockey fans is 49:5 according to the survey results provided, which makes the answer D. 49 to 5.

The survey of sports fans revealed different preferences for various sports. The question asks for the ratio of football fans to hockey fans. According to the survey results provided, 49 people say their favorite sport is football and 5 say it's hockey. Therefore, the ratio of football fans to hockey fans is simply the number of football fans divided by the number of hockey fans.

The calculation would be 49 football fans divided by 5 hockey fans, which simplifies to a ratio of 49:5. Hence, the correct answer is D. 49 to 5. This ratio signifies that for every 5 hockey fans, there are 49 football fans based on the survey results.

First one

[tex]\frac{-7}{9} \times \frac{3}{5}[/tex]

We cancel out common factors before multiplying out.

[tex]=\frac{-7}{3} \times \frac{1}{5}[/tex]

[tex]=\frac{-7\times 1}{3\times 5}[/tex]

[tex]=\frac{-7}{15}[/tex]

Second Question

[tex]=\frac{-2}{5} \times -1\frac{1}{4}[/tex]

We need to change the mixed numbers to improper fraction first.

[tex]=\frac{-2}{5} \times \frac{-5}{4}[/tex]

We now cancel out common factors.

[tex]=\frac{-1}{1} \times \frac{-1}{2}[/tex]

We multiply out now to obtain,

[tex]=\frac{-1\times -1}{1 \times 2}[/tex]

[tex]=\frac{1}{2}[/tex]

Third Question

[tex]=1\frac{3}{4} \times -1\frac{1}{4}[/tex]

We need to change the mixed numbers to improper fraction first.

[tex]=\frac{7}{4} \times \frac{-5}{4}[/tex]

[tex]=\frac{7 \times -5}{4\times 4}[/tex]

[tex]=\frac{-35}{16}[/tex]

[tex]=-2\frac{3}{16}[/tex]

Fourth Question

[tex]=1\frac{3}{4} \times \frac{-3}{4}[/tex]

[tex]=\frac{7}{4} \times \frac{-3}{4}[/tex]

[tex]=\frac{7\times -3}{4\times 4}[/tex]

[tex]=\frac{-21}{16}[/tex]

[tex]=-1\frac{5}{16}[/tex]

Fifth Question

[tex]=-\frac{7}{8} \times -1\frac{3}{7}[/tex]

[tex]=-\frac{7}{8} \times \frac{-10}{7}[/tex]

[tex]=-\frac{1}{8} \times \frac{-10}{1}[/tex]

[tex]=\frac{10}{8} [/tex]

[tex]=\frac{5}{4} [/tex]

[tex]=1\frac{1}{4} [/tex]

Answer: D(2,6)

Step-by-step explanation:

To find  the values of x and y that maximize the objective function

x+y≤8....(line 1)

2x+y≤10.......(line 2)

x≥0......(3)

y≥0.......(4)

we need need to plot them by the following steps.

Step 1: Find coordinates(x,y) of line(1) x+y=8

Put x=0 , we get y =8

Put y=0, we get x=8

by this we got points (0,8) and (8,0) to plot line (1)........(a)

Step 2: Find coordinates (x,y) of line(2) 2x+y=10

Put x=0 , we get y =10

Put y=0, we get 2x=10⇒x=5

by this we got points (0,10) and (5,0) to plot line (2)...........(b)

so with the help of (a) , (b) ,(3) and (4) ,we plot the given graph .

By the graph we can find  that at (x,y)=(2,6) the objective function is maximized , so option D is right.

b. is the answer if u need to know how just ask me

Answer:

- 29

Step-by-step explanation:

Multiply numerator and denominator by 100. It isn't necessary, but it makes the problem easier to see.

174 / (-6)

Put into your calculator like  this

174

÷

(-)

6

=

And the answer comes out as - 29

the value of n is 4 because you have to subtract 7n from both sides and then subtract 16 from both sides then the last step is to divide -4 from both sides and you get 4

Answer:

4

Step-by-step explanation:

3n + 16 = 7n is to be solved for n.  Subtract 3n from both sides, obtaining 16 = 4n.

Now divide both sides by 4, obtaining n = 4.

He saves $96, The Equation I did for this is 196 Divided by 2

Question 9:

[tex]\frac{20*(5)}{50}[/tex]                    Simplify what is in the parenthesis

[tex]\frac{100}{50}[/tex]                        Multiply 20 to 5

[tex]2[/tex]                                            Divide 50 to 100

*(Answer)*= [tex]2[/tex]  

Question 10:

[tex]5+(18)[/tex] ÷ [tex]6[/tex]                Simplify what is in the parenthesis      

[tex]5+3[/tex]                                         Divide 6 to 18

[tex]8[/tex]                                              Add 5 to 3

*(Answer)*= 8

Hope this helps

User who answered: BangtanBoyScouts

Answer: [tex]\angle CAD = 83^\circ [/tex] Option D

Step-by-step explanation:

In this question we use properties of parallelogram and angle sum property of a triangle.

In parallelogram ABCD

[tex] \angle ABC=40^\circ [/tex]

As, we know that opposite angles of parallelogram are equal

Therefore,

[tex] \angle ABC =\angle ADC =40^\circ [/tex]

Now, in triangle ADC

We know that sum of all the angles of a triangle is [tex]=180^\circ[/tex]

[tex]\angle ACD +\angle ADC +\angle DAC =180^\circ[/tex]

[tex]57^\circ +40^\circ +\angle DAC =180^\circ[/tex]

[tex]97^\circ + \angle DAC = 180^\circ [/tex]

Subtracting 97 from both sides we get

[tex] \angle DAC = 180^\circ - 97^\circ [/tex]

[tex] \angle DAC = 83^\circ [/tex]

Measure of [tex]\angle CAD = 83^\circ [/tex]

In a parallelogram, the measure of angle CAD can be found by subtracting the measure of angle ACD from 180°.

In parallelogram ABCD, we have AC as the diagonal. Given that angle ABC is 40° and angle ACD is 57°, we need to find the measure of angle CAD.

In a parallelogram, opposite angles are congruent. So, angle ACD is also equal to 57°.

Now, angle CAD can be found by subtracting angle ACD from 180° (since the sum of the interior angles of a triangle is 180°). So, angle CAD = 180° - 57° = 123°.

https://brainly.com/question/32033686

#SPJ11

x+15.09= -2.57

x= -17.66

If you want the value of x: you would have to subtract -15.09 on both sides.

x+15.09-15.09=-2.57-15.09

x=-17.66

[tex]QS=TV\\\\3v+2=7v-6\\\\4v=8\\\\v=2\\\\QS=TV=3\cdot2+2=8\\[/tex]

[tex]\dfrac{\partial }{\partial x}(y+4x^2)=0+8x=8x[/tex]

First, find the slope of the line that goes through the 2 given points, which you should know how to do.  Call it m.  Then a perpendicular line must have a slope of -1/m.  The slope-intercept form of the equation you seek is

y = (-1/m)x + b,

where b is any real number.  Examine the list of choices, and pick any that have a slope of -1/m.

The equation that represents the line that passes through the points (2, -6) and (-4,3) is 2y + 3x = -6.

The equation of the line that passes through the points (x1,y1) and (x2,y2) can be obtained with the formula:

[tex]y-y_1 = m (x-x_1)[/tex]

The slope of the points are

[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]

We need to find the equation that represents the line that passes through the points (2, -6) and (-4,3)

[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]

[tex]m=\dfrac{3+6}{-4-2}\\\\\\ m = 9/-6 = -3/2\\[/tex]

So, the equation is:

[tex]y-y_1 = m (x-x_1)\\\\y +6 = -3/2(x -2)\\\\2y +12 = -3x +6\\\\2y + 3x = -6[/tex]

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Answer:

If you were to complete the square here and then factor, it would look like this: (x + 12)^2 = 177

Step-by-step explanation:

In order to complete the square, you have to take the coefficient of x (24) and cut it in half (12). Then you have to take that number and square it (144). Once you have this, you add it to both sides of the equation.

x^2 + 24x = 33

x^2 + 24x + 144 = 33 + 144

x^2 + 24x + 144 = 177

(x + 12)^2 = 177

The equation is (x + 12)² = 177, which results from completing the square and then factoring the equation x² +24x=33.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

In order to complete the square, you have to take the coefficient of x (24) and cut it in half (12). Then you have to take that number and square it (144). Once you have this, you add it to both sides of the equation.

x² + 24x = 33

x² + 24x + 144 = 33 + 144

x² + 24x + 144 = 177

(x + 12)²= 177

Therefore, the equation is (x + 12)² = 177, which results from completing the square and then factoring the equation x² +24x=33.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

It will take approximately 1.25 hours for the snowfall of the two towns to be equal.

To find the number of hours in which the snowfall of the two towns will be equal, we can set up an equation: 3 + 6h = 8 + 2h

where h represents the number of hours.

Simplifying the equation, we get 4h = 5

Dividing both sides by 4, we find h = 5/4 = 1.25 hours.

Therefore, it will take approximately 1.25 hours for the snowfall of the two towns to be equal.

Answer:

10,12,14

Step-by-step explanation:

Two consecutive integers will have difference of 2.

Let 3 consecutive even integers be a-2, a, a+2

Smallest number = a-2 and middle number = a

Sum of the smallest number and twice the middle number

= a-2+2a =3a-2

20 more than the largest number = 20+a+2 =a+22

i.e. 3a-2 = a+22

2a = 24

Or a =12

Hence three integers even consecutive are 12-2, 12, 12+2

=10,12,14

Solution

The given number is 32, 897

Here we need to round the thousand place.

Find the number in the thousands place.

We have 2 in the thousands place.

Look for digit which is right to 2.

We have 8, which is greater than 5, if we have the number greater than 5 we have to add 1 with thousands place and make the other numbers zeros.

Since we have 8 right to the number 2, so we add 1 with 2.

2 + 1 = 3

Now thousands place became 3 and make other digits zero.

32, 879 = 33, 000

The answer is 33,000

Note: Here I have attached the place value chart.

The answer to your problem is -6

12.36% I think sorry if its wrong ;-;