solve this inequality-3(2x-5)<5(2-x)

Answer: 4 meters.

Step-by-step explanation: You need to set up the Pythagorean Theorem, which is a^2 + b^2 = c^2. The c is the hypotenuse. A is 3 because it is the height. We are trying to find b, the distance from the flower to the tree. C is 5.

Plug in the numbers.

3^2 + b^2 = 5^2.

Simplify.

9 + b^2 = 25.

Isolate b by subtracting 9 from each side.

B^2 =16.

Square root each side.

B = 4.

The flower is 4 meters away from the base of the tree.

Answer:

CE = 16

Step-by-step explanation:

From my understanding, the length of cord AB is given. According to the question in the picture attached, you need to find CE.

Triangle ABD and triangle ACE are similar.

Therefore, AB/AC = BD/CE

AB = 6, AC = 8, BD = 12, CE = ?

6/8 = 12/CE

CE = 12x8/6

CE = 16

Therefore, CE is equal to 16.

!!

Answer:

7x-48

Step-by-step explanation:

Answer:

Another person already answered this question. Their name is writersparadise. I give all credit to him/her for this answer.

Step-by-step explanation:

There could be many answers for this question. In general, the number that comes after 16 is a number with 8 as the sum of its digits.

Explanation:

1st number 31 – Sum of digits is 3 + 1 = 4  

2nd number 1031 – Sum of digits is 1 + 0 + 3 + 1 = 5

3rd number 402 – Sum of digits is 4 + 0 + 2 = 6

4th number 16 – Sum of digits is 1 + 6 = 7

Therefore, the missing number could be the single digit number 8 or any of the two-digit numbers 17, 26, 35, 44, 53, 62, 71 or 80. It could also be a bigger number with the digits of any of the given two-digit numbers and 0 for the other digits such as 260 or 7001.

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Putting two or more equations in a system means to find the set of variables that satisfies all the equations at the same time.

Moreover, the points that satisfy an equation are the points that lay on the graph described by the equation.

So, putting everything together, solving a system means to lay on all the graphs at the same time. In other words, the solutions of a system are the points of intersection between the graphs that represent the functions involved in the system.

In this case, the line and the circumference have two points of intersection, and they are the two solutions of the system.

In the absence of the graph, one can still note that the number of solutions a nonlinear system of equations has depends on the points of intersection of the curves represented by the equations. Each point of intersection represents a solution.

Unfortunately, without the graph, it is rather difficult to directly answer how many solutions the nonlinear system of equations has. In general, the number of solutions for a nonlinear system of equations can be determined by where the curves represented by the equations intersect. The point of intersection is considered a solution. This is because at this point both equations hold true. If the curves intersect once, then there is one solution. If they intersect twice, then there are two solutions. If they never intersect, there are zero solutions.

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Answer:

15 hours.

Step-by-step explanation:

Suppose the time taken to catch Mike is t hours and the distance ran by Mike   is x miles then

5.5 = x/ t     (Mike)     --- ...(1)

6 = (x +7.5 )/ t (Julia ).......(2)

From equation (1):

x = 5.5t  ..............(3).

From equation (2):

x + 7.5 = 6t

x = 6t - 7.5............(4).

Eliminating x from equations 3 and 4:

6t - 7.5 = 5.5t

0.5t = 7.5

t = 15 hours.

Answer:

Percent error: 6.00%

Step-by-step explanation:

We find the mean of the three masses

Mean = 1.20 + 0.91 + 1.08 / 3

Mean = 1.06 kg

The experimental value of mass is = 1.06 kg

The actual value of mass = 1 kg

The percent error is: (experimental value - actual value/actual value)*100

Percent error : (1.06 - 1 / 1)*100

Percent error: 6.00%

Answer:

6.33

Step-by-step explanation:

1. Find the average:

1.20+0.91+1.08 = 3.19

3.19/3 = 1.06333... (aka the Average)

2. Subtract the average by the True mass:

1.06333... - 1 (the True Mass) = 0.06333...

3. Divide answer by the True mass:

[Because when you divide it by the True Mass it's still 0.06333...]

4. Multiply by 100 (to get the percentage)

0.06333 * 100 = 6.333...

5. In result 6.33% is the correct answer.

Answer:

A, B, D are equations representing a linear function

Step-by-step explanation:

All linear functions have an equation like the following: y=mx+b, where m is the slope and b is an offset.

A. y=x-4, m=1 and b=-4

B. y=x+4, m=1 and b=4

D. y=x+7, m=1 and b=7

The third eq dont behave like a linear function since there is quadratic term on one side of the equation, this is not a linear function

Answer:

2

Step-by-step explanation:

Look at two points on the graph that are easy to read.

(0, 0) and (1, 2) are on the graph and are easy to read.

slope = (y2 - y1)/(x2 - x1) = (2 - 0)/(1 - 0) = 2/1 = 2

Answer:

-2

Step-by-step explanation:

Let's get two coordinate points and plug into the slope equation.

(1,2) and (.5,1)

[tex](y_{2} - y_{1})  / (x_{2} - x_{1} )[/tex]

(1-2) / (.5 - 1)

1 / (-.5)

-2

Answer:

D

Step-by-step explanation:

solve square root of 3x plus 1 = 4:

D is correct and results in 3x + 1 = 16; after this we subtract 1 from both sides and end up with 3x = 15, or x = 5.

Answer:

To solve this equation we have to first remove the square root from LHS and to remove the square we have to square both sides.

Step-by-step explanation:

The quadratic equation which violet has to solve is given as

[tex]\sqrt{3x+1}=4[/tex]................(1)

Step 1

To solve this equation we have to first remove the square root from LHS and to remove the square we have to square both sides.

After squaring both the sides we got following equation

[tex]3x+1=16[/tex]....(2)

Step 2

now subtract 1 from both sides to remove 1 from LHS

so we will get the following equation

[tex]3x=15[/tex]....(3)

Step 3

Now divide by 3 from both sides to remove 3 from LHS

Therefore,

[tex]x=\frac{15}{3}[/tex]

[tex]x=5[/tex]

Answer : 0

Step-by-step explanation:

2(x−3)+9=3(x+1)+x

2x-6+9=3x+3+x

3-3=4x-2x

0=2x

x=0

The value of x in the equation 2(x−3)+9=3(x+1)+x is 0 option third x = 0 is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation in one variable:

2(x−3)+9=3(x+1)+x

2x - 6 + 9 = 3x + 3 + x

Combine like terms

2x + 3 = 4x + 3

x = 0

Thus, the value of x in the equation 2(x−3)+9=3(x+1)+x is 0 option third x = 0 is correct.

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Answer: 2.72 hours

Step-by-step explanation:

Let's call [tex]t_1[/tex] while it takes Wade to paint the room

Let's call [tex]t_2[/tex] while it takes Rhonda to paint the same room.

Then we know that:

[tex]t_1 = 5\ hours\\t_2 = 6\ hours[/tex].

Let's call it t as it takes Rhonda and Wade to paint the same room working together.

Now we use the following formula to calculate t.

[tex]\frac{1}{t}=\frac{1}{t_1}+\frac{1}{t_2}[/tex]

[tex]\frac{1}{t}=\frac{1}{5}+\frac{1}{6}[/tex]

[tex]\frac{1}{t}=\frac{11}{30}[/tex]

[tex]t=\frac{30}{11}[/tex]

[tex]t=2.72\ hours[/tex]

If they work together they will be able to paint the room in 2.72 hours

Answer: 2.73 hours

Step-by-step explanation:

Answer:

[tex]\large\boxed{BC=\sqrt{13}}[/tex]

Step-by-step explanation:

[tex]\text{If}\ a\leq b\leq c\ \text{are lengths of sides of a right triangle, then}\\\\a^2+b^2=c^2.\\\\\text{We have:}\ 2<3<\sqrt{13}\\\\\text{Substitute:}\\\\2^2+3^2=(\sqrt{13})^2\qquad\text{use}\ (\sqrt{a})^2=a\\4+9=13\\13=13\qquad\bold{CORRECT}\\\\\text{The hypotenuse is the longest side of a right triangle.}\\\text{Therefore}\ BC=\sqrt{13}[/tex]

Answer:

[tex]\large\boxed{h(x)=x^3}[/tex]

Step-by-step explanation:

[tex]f(x)=(4x^2-11)^3\\\\f(x)=(h\circ g)(x)=h\bigg(g(x)\bigg)\to\text{exchange x to}\ g(x)=4x^2-11\\\\f(x)=(\underbrace{4x^2-11}_{g(x)})^3=\bigg(g(x)\bigg)^3=h\bigg(g(x)\bigg)\\\\\text{Therefore}\ h(x)=x^3[/tex]

Answer:

the person on top is correct

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Good ol' PEMDAS

First things first, we simplify what is in the parentheses.

4/2 ÷ 2 + (3² - 1)

4/2 ÷ 2 + (9 - 1)

4/2 ÷ 2 + 8

Next we do division. Because there are two instances of division, we work left-to-right. Note that a fraction such as 4/2 is division itself.

4/2 ÷ 2 + 8

2 ÷ 2 + 8

1 + 8

Lastly, it just solving the addition.

1 + 8 = 9

the answer would be 9

Answer:

W'(27,45)

Step-by-step explanation:

First we must fnd the scale factor of the dilation and then multiply the coordinates of W(3,5) by the scale factor.

Let k be the scale factor of the dilation centered at the origin.

The mapping for a dilation by a scale factor k is

[tex](x,y)\to (kx,ky)[/tex]

[tex]Q( - 3,4)\to Q'( - 3k,4k)[/tex]

But we were given the coordinates of the image, which is

Q'(-27,36)

Comparing coordinates:

[tex]4k = 36[/tex]

[tex] \implies \: k = 9[/tex]

We could compare the first coordinates too and get the same result.

The image of W(3,5) is given by:

[tex]W(3,5) \to \: W'(3 \times 9,5 \times 9)[/tex]

[tex]W(3,5) \to \: W'(27,45)[/tex]

Step-by-step explanation:

whenever a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial. as an example, we'll find the roots of the polynomial..

x^5 - x^4 + x^3 - x^2 - 12x + 12.

the fifth-degree polynomial does indeed have five roots; three real, and two complex.

[tex]|y-2|<10\\y-2<10 \wedge y-2>-10\\y<12 \wedge y>-8\\y\in(-8,12)[/tex]

Answer:

B

Step-by-step explanation:

Point slope equation is y-y₁=m(x-x₁)  so as long as the x or y is not negative you have to subtract the number hence y-2=-5/7(x-6)

Answer:

B

Step-by-step explanation:

just did it

Answer:

B. [tex](x^2 + 5)(x + 1)[/tex]

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms and factor each group.

Now we can combine the like factors:

The answer is Option B.

Answer:

a) Option A is correct.

b) Option C is correct.

Step-by-step explanation:

a) Which of the following is the equation of  the line passing through the points (1, 1)  and (-3,5)?

We will use the equation

(y-y₁)=m(x-x₁)

m= (y₂-y₁)/(x₂-x₁)

m= (5-1)/(-3-1)

m= 4/-4

m= -1

Consider point (1,1) and Putting value of m

(y-y₁)=m(x-x₁)

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

y-1=x-1

y=x-1+1

y=x

So, Option A is correct.

b) Which of the following is the equation of a  line with a slope of 0 passing through (2,5)?

The formula used is:

y= mx+b

Finding b:

5=0(2)+b

=> b = 5

So, equation is:

y = mx+b

y=0x+5

y=5

So, Option C is correct.

3 · -8 + 5 - 4 ÷ 2

Use PEMDAS

P=parenthesis

E=exponents

M= multiplication

A= addition

S=subtraction

-24+5- 4÷ 2

-19-2

=-21

Answer is B-21

Answer:

B. -21

Step-by-step explanation:

You have to follow PEMDAS

3*-8=-24

So, -24+5-4÷2

-4÷2=-2

So, -24+5-2

Then add and subtract from left to right

-24+5=-19

-19-2=-21

Answer:

35/3 ft = 11 2/3 ft

Step-by-step explanation:

We make a table of the lengths of the sides in descending order of side length. Each line contains two corresponding sides.

              Quadrilateral           Quadrilateral

              ABCD                       EFGH

Side 1      20 ft                         ?

Side 2     18 ft                          ?

Side 3     14 ft                           6 ft

Side 4       ?                              5 ft

The line corresponding to side 3 is the only line that has the lengths of both corresponding sides.

The ratio of the length of sides in ABCD to EFGH is 14/6 = 7/3.

To find the length of the 4th sides of ABCD, we multiply the length of the 4th side of EFGH by the ratio.

7/3 * 5 ft = 35/3 ft = 11 2/3 ft

Answer:

(y-1)^2=20(x-3)

Step-by-step explanation:

The parabola is sideways so the squared part will be on the y.

The equation will be using is (y-k)^2=4p(x-h)

where (h,k) is the vertex.

p tells us which way the parabola opens by the sign.

p also tells us how far the directrix is from the vertex or the vertex from the focus.

Anyways if you graph the vertex and the directrix you will see the parabola opens to the right so p is going to be positive.

Now since the directrix is at x=-2 and the vertex is at (3,1) then p=3-(-2)=5.  5 means that the directrix and vertex are 5 units apart.

The vertex was given as (3,1) so h=3 and k=1.

Let's plug this information in:

(y-1)^2=4*5(x-3)

Let's simplify just a little.

(y-1)^2=20(x-3)

Answer:

C

Step-by-step explanation:

on edge

Answer:

50

Step-by-step explanation:

Add up the two known angle measurements:

95+35=130

Subtract this number from 180°:

180-130=50

Write down your answer

95+35+25=180

*The three angles should add up to 180° for the triangle to exist*

I hope that helped

Answer:

The maximum number of turkey sandwiches Ben could have sold is 6.

Step-by-step explanation:

We are given that turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand.

Given the information, we are to find the maximum value of turkey sandwiches Ben could have sold.

[tex] 2 . 5 0 x + 3 . 5 0 y \leq 3 0 [/tex]

Number of veggie wraps sold (y) = 4

2.50x + 3.50(4) <   30

2.50x + 14          <   30

          - 14               -14

2.50x                   <   16

[tex]x<\frac{16}{2.50}[/tex]

[tex]x <6.4[/tex]

The maximum number of turkey sandwiches Ben could have sold is 6.

The maximum value of turkey sandwiches Ben could have sold is;

Option B; 6

Let number of turkey sandwiches be x

Let number of veggie wraps be y.

We are told that Turkey sandwiches cost $2.50 and veggie wraps cost $3.50.

Thus, for x number of Turkey sandwiches, the cost will be; 2.5x

For y number of veggie wraps, the cost will be 3.5y.

         We are told he sold no more than $30 worth of turkey sandwiches and veggie wraps in the first hour of business. Thus, inequality to represent this scenario is;

2.5x + 3.5y ≤ 30

Now, he has sold 4 veggie wraps. Thus;

2.5x + 3.5(4) ≤ 30

2.5x + 14 ≤ 30

2.5x ≤ 30 - 14

2.5x ≤ 16

x ≤ 16/2.5

x ≤ 6.4

Since the number can't be decimal, we approximate to a whole number to get; x = 6

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Answer:

z = 7.5

Step-by-step explanation:

Given that z is directly proportional to x and inversely proportional to y then the equation relating them is

z = [tex]\frac{kx}{y}[/tex] ← k is the constant of proportionality

To find k use the condition when x = 16, y = 5, z = 16, then

k = [tex]\frac{zy}{x}[/tex] = [tex]\frac{16(5)}{16}[/tex] = 5

z = [tex]\frac{5x}{y}[/tex] ← equation of proportionality

When x = 21, y = 14, then

z = [tex]\frac{5(21)}{14}[/tex] = 7.5

Answer:

884. D

885. C ( changed my answer)

886. B

887.A

For number 844, the diameter if the fan is 12 inches. To find Circumference, multiply the radius by two and then pi. The radius of the fan is 6, multiplied by 2 is 12, and multiplied by pi gives 12 times pi.

885 says half of the area gives the circumference. So we can write a formula, (pi*r^2)/2=2*pi*r. If the radius were 4, this would make the equation true. So the answer is 4.

886. Circumference=2*pi*r

r=6.78

2*pi*6.78

13.56*pi

887.

3*3=9

13-3=10

10*23=230

230+9=239 units squared

Answer:

884.D

885.C

886.B

887.A

Step-by-step explanation:

I just multiplied

Answer:

193.8

Step-by-step explanation:

Mean is the average. Find the average by dividing the sum of all numbers by the amount of numbers.

108+305+252+113+191

divided by 5

108+305+252+113+191= 969

969/5= 193.8

Final answer:

The mean of 108, 305, 252, 113, and 191 is 193.8.

Explanation:

To find the mean of a set of numbers, you need to add up all the numbers in the set and then divide the sum by the total number of values.

In this case, we have the numbers 108, 305, 252, 113, and 191.

To find the sum, you add these numbers together:

108 + 305 + 252 + 113 + 191 = 969.

Next, you divide this sum by the total number of values, which is 5 in this case.

So, the mean is 969 ÷ 5 = 193.8.

This is the average value of the set of numbers provided.