Is it possible to design a table
where no two legs have the same length? Assume
that the endpoints of the legs must all lie in the same
plane. Include a diagram as part of your answer.

Answer:

Last week

Step-by-step explanation:

last week because, the class that week was only 1 hour and last weeks was 3/2 an hour

Answer:

B.

Step-by-step explanation:

Using SOHCAHTOA,

sin 24 = 4/10

cos 24 = x/10

tan 24 = 4/x

Answer: B.

Option B. is correct. Using cosine formula the equation cos 24° = [tex]\frac{x}{10}[/tex] is used to find value of 'x'.

The ratio of the "adjacent side of a right angle triangle to the hypotenuse" is called cosine and given by the symbol 'cos'.

According to the question,

Angle of Right angle triangle is 24°

Adjacent = x

Opposite = 4

Hypotenuse = 10

In order to value of 'x' only if using cosine formula.

Formula for cosine = [tex]\frac{adjacent}{hypotenuse}[/tex]

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

Hence, the equation cos 24° = [tex]\frac{x}{10}[/tex] is used to find value of 'x'.

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Answer:

1) The smallest is 1000, and the greatest is 9998.

2) The smallest is 1001 and the greatest is 9999.

Step-by-step explanation:

Four digit numbers:

The set of four digit numbers is: {1000, 1001, ...., 9998, 9999}

Even numbers:

End in 0, 2, 4, 6, 8

Odd numbers:

End in 1, 3, 5, 7, 9

1) the number is an even number

The smallest is 1000, and the greatest is 9998.

2)the number is an odd number​

The smallest is 1001 and the greatest is 9999.

Answer:

456

Step-by-step explanation:

It is shared by 3 people so it will be multiplied by 3.

Answer:

5472

Step-by-step explanation:

If the mean between three people is 152 kilometers per month, the distance travelled in a month is 152 * 3 = 456.

Then we multiply 456 by 12 to get the number of km travelled in a year.

456 * 12 = 5472

Answer:

y = 3

Step-by-step explanation:

If you find the values of all the points of the line, it has y as 3.

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Answer: 7 kg

Step-by-step explanation:

Answer:

b=69(alternate angle)

b=37(alternate angle)

Answer:

True

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which z is related to the confidence level(the higher the confidence level the higher z is), s is related to the standard deviation and n is the size of the sample.

A higher confidence level leads to a larger margin of error, that is, a wider interval. The interval expands around it's lower and upper bounds, which means that if a value is part of a lower confidence interval(such as 95%), it will be part of the higher(such as 99%), and the answer to this question is true.

Answer:

So, the option (D) is the answer.

Step-by-step explanation:

A. The negative numbers are always less than positive numbers.

It is true.

For example, - 2 < + 2  

B. The sum of two negative numbers is always negative.

It is true.

For example, - 3 + (- 3) = - 6  

C. The difference between two negative numbers is sometimes positive.

It is true.

For example, (- 3) - (-4) = 1

D. The product of two negative numbers is always negative.

It is false.

For example, (-3)(-3) = 9  

E. The quotient of two negative numbers is always positive.

It is true.

For example, (-3)/(-1) = 3

Answer:

1)     (2,4)

2)    (5,-2)

Step-by-step explanation:

those are the points at which the lines cross making them the solutions to the equations

Answer:

the answer is 332

Step-by-step explanation:

quizlet

Answer:

The equal is valid for x≤ 5/2

Step-by-step explanation:

sqrt(4x²-20x+25)=5-2x

Square both sides

(sqrt(4x²-20x+25))^2=(5-2x)^2

Foil the term on the right (5-2x)(5-2x) = 25 -10x-10x+4x^2 = 25 -20x+4x^2

(4x²-20x+25)=25-20x+4x^2

The left side is equal to the right side

We need to check for extraneous solutions

The break point is 5-2x =0

5 =2x

x =5/2

Check x < 5/2

Let x=0

sqrt(4x²-20x+25)=5-2x

sqrt(25)=5

True

Check x=5/2

sqrt(4x²-20x+25)=5-2x

sqrt(4(25/4)-20*5/2+25)=5-2(5/2)

sqrt(25-50+25)=5-5

0=0

True

Check x>5/2

Let x=10

sqrt(4x²-20x+25)=5-2x

sqrt(4*100-20*10+25)=5-2*10

sqrt(400-200+25)=5-20

sqrt(225) = -15

15 does not equal -15

False

The equal is valid for x≤ 5/2

Answer:

equation: 14506.226(0.870)^x

answer: 1796.15

Step-by-step explanation:

Plugging in the tables into your calcuator

a= 14506.226

b= .870

y=ab^x

y= 14506.226(0.870)^x

= 1796.15

The equation of the exponential regression is [tex]\rm y = 14100 \ e^{-0.087x}[/tex]. And the value of a car after 15 years is $ 3,823.53.

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The accompanying table shows the value of a car over time that was purchased for 14100 dollars, where x is years and y is the value of the car in dollars.

The exponential regression equation will be given as

[tex]\rm y = A_o e^{kx}[/tex]

Where A₀ is the coefficient of exponential regression and k is the constant.

For x = 0, the value of y will be $ 14100. Then we have

[tex]\rm 14100= A_o e^{k*0}\\\\ A_o \ \ \ \ = 14100[/tex]

Then the equation will be

[tex]\rm y = 14100 \ e^{kx}[/tex]

For x = 1, the value of y will be $12,929. Then we have

[tex]\rm 12929= 14100 e^{k*1}\\\\ e^k \ \ \ \ = 0.91695[/tex]

Taking ln both sides, then we have

[tex]\begin{aligned} \rm ln\ e^k &= ln \ 0.91695\\\\\rm k*ln \ e &= -0.087\\\\\rm k &= -0.087 \end{aligned}[/tex]

Then the equation will be

[tex]\rm y = 14100 \ e^{-0.087x}[/tex]

Then after 15, the value of a car will be

[tex]\rm y = 14100 \ e^{-0.087*15}\\\\\rm y = 14100 * 0.2712\\\\\rm y = 3823.53[/tex]

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

Answer:

sin ( 300 - 45 )

Step-by-step explanation:

sin (300 - 45 )

= - 0. 965

= - 0. 97

Answer:

in the 4th quadrant

Answer:

7y²x³

Step-by-step explanation:

when taking an exponent to an exponent multiply them

(7y²x³)² = 49y⁴x⁶

3600 meters 60 seconds would be 1440 traveled

and 1440 + 1440 + 720= 3600

Hope this helps :)

Answer:

Step-by-step explanation:

The new equation will be

y = abs(x) + 3

I have made a graph to show you this.

The red graph is y = abs(x)

The blue graph is y = abs(x) + 3

You need only look at the point 0,0 to see what happened. On the red graph (0,0) is the lowest point. When you add 3 to get the lowest point, you should notice that the lowest point is now (0,3)

[tex] \huge\frak{Answer:-}[/tex]

[tex] \rm{cot \: x = cos \: x \: sin \: x}[/tex]

[tex]\huge \mathtt \purple{Answer:-}[/tex]

[tex] \sf \red{cot \: x \: = \: cos \: x \: sin \: x}[/tex]

Answer:

Step-by-step explanation:

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.

For what amount of calling do the two plants cost the same?

Answer:

50

Step-by-step explanation:

The formula for the area of a trapezoid is a+b/2h. a is the top of the trapezoid (5). b is the bottom of the trapezoid(15). h is the height of the trapezoid(5). First you add 5 and 15 together to get 20. Then you divide by 2 to get 10. Now you do 10 x 5 to get 50 as your answer. 5+15/2 = 10(5) = 50

Answer:

C

Step-by-step explanation:

Functions meet the vertical line test:

a vertical line will intersect the graph at  most at one point

C doesn't pass the vertical line test and is therefor not a function

Answer:

A.5+4<9+1

B. 5+4<10+0

C. 5+4>5-4

D. 5+4=15-4

Step-by-step explanation:

A. 9<10

B. 9<10

C. 9>1

D9=9

Answer:

A=10>5+4

B=10>5+4

C=1<5+4

D=11>5+4

Step-by-step explanation:

Answer:

[tex](8 \div 6) + 3[/tex]

Step-by-step explanation:

Required

The equivalent expression

To do this, we take it one step at a time.

First, the quotient of 8 divided by 6;

This means 8 divided by 6: [tex](8 \div 6)[/tex]

3 added to it;

The expression becomes: [tex](8 \div 6) + 3[/tex]

Answer:

[tex]x=99^{\circ},\\y=81^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles of a polygon with [tex]n[/tex] sides is [tex]180(n-2)[/tex]. Since the shape in the figure has 5 sides, the sum of its interior angles is [tex]180(5-2)=180\cdot 2=540^{\circ}[/tex].

Therefore, we can set up the following equation:

[tex]95+125+105+116+x=540,\\441+x=540,\\x=\boxed{99^{\circ}}[/tex]

Since [tex]\angle x[/tex] and [tex]\angle y[/tex] make up one side of a line, they are supplementary, as each side of a line is [tex]180^{\circ}[/tex].

Thus, we have:

[tex]x+y=180,\\99+y=180,\\y=\boxed{81^{\circ}}[/tex]

Answer:

The answer is A. The team never scored exactly 2 goals in a single game.

Step-by-step explanation:

Edg 2021

The correct answer is Option A , The team never scored exactly 2 goals in a single game.

A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.

These types of charts are used to graphically depict certain data trends or groupings.

The team never scored exactly 2 goals in a single game.

It is Option A , because it says the team never scored exactly 2 goals in a single game

and the dot plot shows 0 dots in number 2 which means A. is the correct answer.

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Answer:

x=10.75 in

Step-by-step explanation:

A = 390 = x(3x+4)

3x²+4x-390 =0

ax²+bx+c=0

x= (-b±√b²-4ac)/2a

x= (-4±√(16+4680))/6 = (-4±2√1174)/6 = (-2±√1174)/3

We will consider only the x that gives us a positive answer because the dimensions cannot be negative.

x= (-2+√1174)/3 = 10.75456113≈ 10.75

Answer:

1520.53

Step-by-step explanation:

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