-10 is no less than 2 times a number plus 14

Answers

Answer 1

Let the number be x.

Then according to the question,

[tex]\begin{gathered} -10\ge2x+14 \\ -10-14\ge2x \\ -24\ge2x \\ x\ge-12 \end{gathered}[/tex]

Thus, the number should be greater than or equal to -12.


Related Questions

1. P(video games and kid is 10 to 12 years old)2. P(basketball/kid is 13 to 15 years old)3. P(kid is 13 to 15 years old/basketball)4. P(darts/kid is 10 to 15 years old)5. P(basketball and darts)6. P(basketball and kid is 13 to 18 years old)Answer the following problems about two way frequency tables make sure to reduce your fraction.

Answers

1. P(video games and kid is 10 to 12 years old)

[tex]\begin{gathered} P(video\text{ games and kid i 10 to 12 years old)} \\ =\text{ }\frac{number\text{ of kids 10 - 12 years old playing video games}}{total\text{ number of students}} \\ =\text{ }\frac{17}{143} \end{gathered}[/tex]

Therefore,

The P(video games and kid is 10 to 12 years old) = 17/143

2. P(basketball/kid is 13 to 15 years old)

[tex]\begin{gathered} P\mleft(basketball/kid\text{ is 13 to 15 years old}\mright)\text{ } \\ =\text{ }\frac{number\text{ of kids 13 - 15 years old playing basketball}}{number\text{ of kids of age 13 to 15 years old}} \\ =\text{ }\frac{14}{45} \end{gathered}[/tex]

P(basketball/kid is 13 to 15 years old) = 14/45

3. P(kid is 13 to 15 years old/basketball)

[tex]\begin{gathered} P(\text{kid is 13 to 15 years old / basket ball)} \\ =\text{ }\frac{number\text{ of kids aged 13 to 15 years old }}{number\text{ of kids playing basketball}} \\ =\text{ }\frac{14}{54} \\ =\text{ }\frac{7}{27} \end{gathered}[/tex]

P(kid is 13 to 15 years old/basketball) = 7/27

4. P(darts/kid is 10 to 15 years old)

[tex]\begin{gathered} P(\text{darts / kid is 10 to 15 years old)} \\ =\text{ }\frac{number\text{ of kids age 10 to 15 playing darts}}{\text{number of kids age 10 to 15}} \\ =\text{ }\frac{kids\text{ age 10 to 12 + age 13 to 15 playing darts}}{\text{kids age 10 to 12 + age 13 to 15}} \\ =\text{ }\frac{12\text{ + 15}}{34\text{ + 45}} \\ =\text{ }\frac{27}{79} \end{gathered}[/tex]

P(darts/kid is 10 to 15 years old) = 27/79

5. P(basketball and darts)

[tex]\begin{gathered} P(basketball\text{ and darts)} \\ \sin ce\text{ there are no kids playing basketball and darts at the } \\ \text{same time} \\ \text{then,} \\ P(basketball\text{ and darts) = 0} \end{gathered}[/tex]

P(basketball and darts) = 0

6. P(basketball and kid is 13 to 18 years old)

[tex]\begin{gathered} P(\text{basketball and kid is 13 to 18 years old)} \\ =\text{ }\frac{number\text{ of kids 13 to 18 years playing basket}}{nu\text{mber of kid 13 to 18 years }} \\ =\text{ }\frac{\text{kids 13 to 15 years + 16 - 18 years playing basketball}}{\text{kids 13 to 15years + 16 to 18 years}} \\ =\text{ }\frac{14\text{ + 18}}{45\text{ + 35}} \\ =\text{ }\frac{32}{80} \\ =\frac{2}{5} \end{gathered}[/tex]

P(basketball and kid is 13 to 18 years old) = 2/5

I don't understand this. Proving and applying ASA and Salad congruence

Answers

Given two triangles, we can say that they are congruent by the SAS postulate (Side Angle Side) if both triangles have two congruent sides and the angle that they form is also congruent

In this case, we have that triangle IHG and DFE have already two congruent sides, then, to make them congruent, the angle that they each form (angle IHG and angle DEF) must be congruent so we can use the SAS postulate

oblem 9If 8 x 17 = 136, then 17 isI % of 136if 44 x 8 = 352, then 44 is% of 352

Answers

Let 'x' represents the missing number

a) x % of 136 = 17

[tex]\begin{gathered} \text{where, }x\text{ \% =}\frac{\text{x}}{100} \\ \frac{x}{100}of136=17 \\ \frac{x}{100}\times136=17 \\ \frac{136x}{100}=17 \\ 1.36x=17 \end{gathered}[/tex]

Divide both sides by 1.36

[tex]\begin{gathered} \frac{1.36x}{1.36}=\frac{17}{1.36} \\ x=\frac{25}{2}=12.5 \\ \therefore x=12.5 \end{gathered}[/tex]

Hence, 17 is 12.5% of 136.

b) x% of 352 = 44

[tex]\begin{gathered} \text{where, x\%=}\frac{\text{x}}{100} \\ \frac{x}{100}\times352=44 \\ \frac{352x}{100}=44 \\ 3.52x=44 \end{gathered}[/tex]

Divide both sides by 3.52

[tex]\begin{gathered} \frac{3.52x}{3.52}=\frac{44}{3.52} \\ x=12.5 \\ \therefore x=12.5 \end{gathered}[/tex]

Hence, 44 is 12.5% of 352.

use the quadratic formula to find both solitions to the quadratic equation given below x^2+6×=16

Answers

Answer:

x1=4

x2=-8

Step-by-step explanation:

x^2+6x-16=0

a=1 b=6 c=-16

D=b^2 - 4ab= 36+64=100

D>0, 2 sqrt

x1= -b+sqrt{D} /2= -6+10/2= 4

x2= -b-sqrt{D} /2= -6-10/2= -8

(That's what we were taught!)

What is the value of the expression below when w = 3?5W^2 – 5W – 8

Answers

According to the given data we have the following expression:

5W^2 – 5W – 8

In order to calculate the value of the expression above when w=3 we would need to substitute the w with 3 and then calculate the expression.

So, if w=3 then:

5(3)^2 -5(3) -8

=45 - 15 -8

=22

The value of 5W^2 – 5W – 8 when w = 3 would be 22

Do 9 and 10 keep it 9th grade if you can Question 9-10

Answers

Given the formula for the volume of a cylinder:

[tex]V=\pi r^2h[/tex]

You know that "r" is the radius of the cylinder and "h" is the height.

a. In order to solve the formula for "h", you can divide both sides of the formula by:

[tex]\pi r^2[/tex]

As follows:

[tex]\frac{V}{\pi r^2}=\frac{\pi r^2h}{\pi r^2}[/tex][tex]h=\frac{V}{\pi r^2}[/tex]

b. Having a cylindrical swimming pool, you know that:

[tex]\begin{gathered} r=12\text{ }ft \\ V=1810\text{ }ft^3 \end{gathered}[/tex]

And, for this case:

[tex]\pi\approx3.14[/tex]

Therefore, you can substitute values into the formula for the height of a cylinder found in Part "a" and evaluate:

[tex]\frac{V}{\pi r^2}=\frac{\pi r^2h}{\pi r^2}[/tex][tex]h=\frac{1810\text{ }ft^3}{(3.14)(12\text{ }ft)^2}[/tex][tex]h=\frac{1810\text{ }ft^3}{452.16\text{ }ft^2}[/tex][tex]h\approx4\text{ }ft[/tex]

Hence, the answers are:

a.

[tex]h=\frac{V}{\pi r^2}[/tex]

b.

[tex]h\approx4\text{ }ft[/tex]

The state of California charges homeowners approximately $1,200 per year in property taxes for every $100,000 a person's home is worth. If Mr. Cohen's home in Studio City, CA is worth $1,600,000, how much does he have to pay in property taxes per year? Set up a pair of equivalent ratios and then use your knowledge of cross products to solve. You may use calculator.

Answers

We have the next information

1,200 ----- 100,000

x ----- 1,600,000

x is the missing quantity

x can be calculated in this way

[tex]x=\frac{1,600,000\cdot1200}{100,000}=19200[/tex]

Mr. Cohen has to pay per year $19,200 taxes per year

4(3c+3)-3c+1=3(3c+5)-2

Answers

The given equation is,

[tex]4(3c+3)-3c+1=3(3c+5)-2[/tex]

The above equation can be simplified as follow,

[tex]undefined[/tex]

3.
How much greater is the surface area of the rectangular prism than the surface area of the cube?
6 cm
(1 point)
3 cm
2 cm
O 36 cm²
O 33 cm²
O 18 cm²
O 45 cm²
3 cm

Answers

The dimensions of the rectangular prism of 6 cm by 3 cm by 2 cm and the dimension of the cube of 3 cm gives the amount the surface area of the prism is greater than the cube as 18 cm²

What is a rectangular prism?

A rectangular prism is a six faced solid hexahedron.

The given dimension of the rectangular prism are:

Length = 6 cm

Height = 3 cm

Width = 2 cm

The side length of the cube = 3cm

The surface area of the rectangular prism is therefore:

[tex]A_p[/tex] = 6 × 3 × 2 + 6 × 2 × 2 + 3 × 2 × 2 = 72

The surface area of the rectangular prism is 72 cm²

The surface area of the cube: [tex]A_c[/tex] = 6 × 3² = 54

The surface area of the cube, [tex]A_c[/tex] = 54 cm²

The amount by which area of the rectangular prism is greater than the area of the cube is therefore: [tex]A_p[/tex] - [tex]A_c[/tex] = 72 cm² - 54 cm² = 18 cm²

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what is the slope of a line parallel to the line whose equation is 18 x - 3 y equals -45

Answers

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope and "b" is the y-intercept.

Let's solve for "y" from the equation of the line given in the exercise, in order to express it in Slope-Intercept form:

[tex]\begin{gathered} 18x-3y=-45​ \\ -3y=-18x-45 \\ y=\frac{-18x-45}{-3} \\ y=6x+15 \end{gathered}[/tex]

You can identify that:

[tex]\begin{gathered} m=6 \\ b=15 \end{gathered}[/tex]

By definition, the slopes of parallel lines are equal. Therefore, the slope of the line parallel to line given in the exercise, is:

[tex]m=6[/tex]

coupon A 45% off of a $73 jacket coupon B $30 rebate on a $73 Jacket

Answers

To be able to determine which among the coupon gives a lower price, let's determine what is 45% of $73 so that we could compare it with the $30 rebate. The highest amount among the two coupons will give you a lower price.

Let's determinte the 45% of 73:

[tex]\text{73 x }\frac{45\text{\%}}{100\text{\%}}\text{ }\rightarrow\text{ 73 x 0.45}[/tex][tex]\text{ = \$32.85}[/tex]

Coupon A gives you $32.85 dollar off of a $73 Jacket.

Coupon A will give you a lower price compared to Coupon B. The price of the jacket will be $2.85 lesser than using Coupon B.

Suppose that a regression line for some data transformed with logarithmspredicts that when x equals 4, log(y) will equal 2.671. What does theregression line predict y will equal when x equals 4?

Answers

Explanation:

The information that we have is that when the value of x is 4

[tex]x=4[/tex]

The logarithm of y is 2.671

[tex]log(y)=2.671[/tex]

The question is:

What does the regression line predict y will equal when x =4?

That means we need to solve for y in

[tex]log(y)=2.671[/tex]

To find the predicted y-value.

To solve for y, we make 10 the base of the two sides of the equation as shown in the following expression:

[tex]10^{log(y)}=10^{2.671}[/tex]

Due to the properties of logarithms, on the left side, we will be left only with 'y'

[tex]y=10^{2.671}[/tex]

And finally, solving the operations on the right-hand side, the result is:

[tex]y=468.813[/tex]

Answer:

[tex]y=468.813[/tex]

Solve the problems. Simon is organizing his 36 toy cars into equal-sized piles. Which list shows all of the possible numbers of cars that could be in each pile? A 2. 3,4,6 B 1, 2, 3, 4,6 C 2, 3, 4, 6, 9, 12, 18 D 1, 2, 3, 4, 6, 9, 12, 18, 36

Answers

Consider that the total available toy cars is 36.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.

So Simon can make 1 pile of 36 toy cars, 2 piles of 18 cars each, 3 piles of 12 cars each, 4 piles of 9 cars each, 6 piles of 6 cars each, 9 piles of 4 cars each, 12 piles of 3 cars each, 18 piles of 2 cars each, and 36 piles of 1 car each.

Thus, the possible number of cars that could be in each pile are 1,2, 3, 4, 6, 9, 12, 18, 36.

Therefore, option D is the correct choice.

The measures of the angles of a triangle are shown in the figure below. Solve for x. (2x+6)° 42°

Answers

A triangle is a shape that has a total angle of 180°.

How to solve the triangle?

It's important to note that a triangle is a shape that has three sides and the total sum is equal to 180°.

In this case, we have 2x + 6 and 42°. The other angle isn't given and this can't be solved further

The sides will have been illustrated as:

= a + b + c = 180

The expression given will then be allocated for each side to solve it further.

Note that an overview was given as the information is incomplete.

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Cut a 10-foot (ft.) long piece of wood into two pieces so that one piece is 2 ft longer than the other. Which of the following equations depicts the given situation?A. x/2 = 10B. x + 2 = 10C. 2x + 2 = 10D. None of the choices

Answers

Given:

Cut a 10-foot (ft.) long piece of wood into two pieces so that one piece is 2 ft longer than the other.

Required:

Which of the following equations depicts the given situation?

Explanation:

Let 10 feet long piece of wood cut into two pieces of length x(smaller piece) and

x+2 larger piece.

So, the equation will be

x + x + 2 =10

2x + 2=10

Answer:

Option C is correct.

Please help me this is so confusing .which of the following, names a ray in the drawing?

Answers

From the given figure, let's select the rays given in the option.

A ray can be said to be a straight line which starts from a point and goes to infinity at the other end.

From the given figure, the rays are:

• NK

,

• NJ

,

• NL

,

• NM

Therefore, from the list the, the ray is NK.

ANSWER:

NK

leon wrote an expression that is equivalent to (30+6)÷12 witch expression could be the one leon wrote

Answers

ANSWER

(3 · 3 · 2 · 2) ÷ (3 · 2 · 2)

EXPLANATION

The given expression is also equivalent to 36 ÷ 12 - because 30 + 6 = 36.

In the equivalent expression we have:

[tex]\begin{gathered} 3\cdot3\cdot2\cdot2=36 \\ 3\cdot2\cdot2=12 \end{gathered}[/tex]

Therefore it's 36 ÷ 12 too

Two right rectangular prisms are shown below. 2 inches 5 Inches 9 inches inches 7 NI inches inches Prism I Prism II If each prism is packed with small cubes of side length 1 inch, how many more cubes are in Prism Il than in Prism I? O 42 cubes О 210 cubes O 510 cubes O 720 cubes

Answers

The number of small cubes in the prism I can be determined as,

[tex]\begin{gathered} N_1=\frac{Volume\text{ of prism I}}{Volume\text{ of one small cube}} \\ =\frac{\frac{7}{4}\text{ in}\times\frac{5}{4}\text{ in}\times\frac{3}{2}\text{ in}}{\frac{1}{4}\text{ in}\times\frac{1}{4}\text{ in}\times\frac{1}{4}\text{ in}} \\ =210 \end{gathered}[/tex]

The number of cubes in the prism II can be determined as,

[tex]\begin{gathered} N_2=\frac{2\text{ in}\times\frac{5}{2}\text{ in}\times\frac{9}{4}in}{\frac{1}{4}in\times\frac{1}{4}in\times\frac{1}{4}in} \\ N_2=720 \end{gathered}[/tex]

The difference in the number of cubes is,

[tex]\begin{gathered} N_2-N_1=720-210 \\ =510 \end{gathered}[/tex]

Thus, Prism II has 510 more cubes than Prism I.

Thus, option (c) is the correct solution.

Compute the sums below. (Assume that the terms in the first sum are consecutive terms of an arithmetic sequence.) 9 + 4 + (-1) + ... + (-536)

Answers

SOLUTION

The terms below make an A.P. Now we are told to find the sum of the AP.

Sum of an AP is given by

[tex]S\text{ = }\frac{n}{2}\lbrack2a\text{ + (n-1)d\rbrack}[/tex]

Where S = sum of the AP, a = first term = 9, d = -5, n= ?

So we have to find n first before we can find the sum. The nth term which is the last term = -536. So we will use it to find the number of terms "n"

[tex]\begin{gathered} \text{From T}_{n\text{ }}=\text{ a +(n-1)d where T}_{n\text{ }}=\text{ -536} \\ -536\text{ = 9+(n-1)-5} \\ -536\text{ = 9-5n+5} \\ -536\text{ = 14-5n} \\ -5n\text{ = -536-14} \\ -5n\text{ = -550} \\ n\text{ = 110} \end{gathered}[/tex]

Now let's find the sum

[tex]\begin{gathered} S\text{ = }\frac{n}{2}\lbrack2a\text{ + (n-1)d\rbrack} \\ S\text{ = }\frac{110}{2}\lbrack2\times9\text{ + (110-1)-5\rbrack} \\ S\text{ = 55\lbrack{}18+(119)-5\rbrack} \\ S\text{ = 55\lbrack{}18 - 595\rbrack} \\ S\text{ = 55}\times-577 \\ S\text{ = -31735} \end{gathered}[/tex]

Therefore, the sum = -31735

URGENT!! ILL GIVE
BRAINLIEST!!!!! AND 100
POINTS!!!!!

Answers

The transformation of the map is given as; translation of 1 unit to the right and rotated 180 degree counterclockwise about origin.

What is termed as the translation?In geometry, translation refers to a function which moves an object a specified distance. The element is not otherwise altered. It is not rotated, mirrored, or resized.Each point of the element must be relocated within the same direction and at the same distance during a translation.When performing a translation, this same initial object is referred to as the pre-image, and the element after the translation is referred to as the image.

For the given question;

The graph of the triangle is given,

The triangle is first translated to the 1 unit to its right such that vertex of the triangles lies on the y -axis.

Now, the triangle is rotated about origin in counter clock wise direction about 180 degrees.

Thus, the final image is shown by red triangle.

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a rectangular Garden has a length of 10 m and a width of 8 meters fill in the Box to show the perimeter and the area of the garden

Answers

[tex]\text{Area}_{\text{garden}}=80m^2[/tex][tex]\text{Perimeter}_{\text{garden}}=36\text{ m}[/tex]

Explanation

Step 1

Area,To find the area of a rectangle, multiply its height by its width

then

[tex]\text{Area}_{rec\tan gle}=length\cdot width[/tex]

Let

length=10 m

width=8 m

replace,

[tex]\begin{gathered} \text{Area}_{rec\tan gle}=length\cdot width \\ \text{Area}_{rec\tan gle}=10\text{ m }\cdot\text{ 8 m} \\ \text{Area}_{rec\tan gle}=80m^2 \end{gathered}[/tex]

Step 2

find the perimeter:

Perimeter is the distance around the outside of a shape,so for the garden the perimeter is

[tex]\text{Perimeter}_{rec\tan gle}=2(length+width)[/tex]

replace,

[tex]\begin{gathered} \text{Perimeter}_{\text{garden}}=2(10m+8m) \\ \text{Perimeter}_{\text{garden}}=2(18\text{ m)} \\ \text{Perimeter}_{\text{garden}}=36\text{ m} \end{gathered}[/tex]

I hope this helps you

Linear Programming WorksheetGraph each feasible region. maximize or minimize each objective

Answers

Given:

x+2y = 8

x=2, y=0

Substitute x=2 then find value of x as,

2+2y=8

2y=6

y=3

(x,y) = (0,3)

Now, substitute y=0 then find value of y as,

x+2(0)=8

x=8

(x,y) = (8,0)

It is given that P = x+3y

(x,y) = (0,3) then P= 0+3x3

P=9

The maximum valu P=9 and vertiex (0,3)

(x,y) = (8,0) then P=8+0= 8

The mininmum val

What is the solution to the equation?
-6 = x/8
Enter your answer in the box.
X =

Answers

Answer:

-48

Step-by-step explanation:

First, you multiple the fraction by the denominator, which is 8. You multiple both sides of the equation by 8. -6*8=-48. x/8 * 8 = x. In conclusion, -48 = x or x = -48.

Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monttpayment, the total amount paid, and the cost of the mortgage?

Answers

We will have the following:

First, we determine the monthly rate:

[tex]r_m=\frac{0.07}{12}=\frac{7}{1200}[/tex]

Now, we determine the monthly payment:

[tex]\begin{gathered} A=P\frac{(1+r_m)^n}{(1+r_m)^n-1} \\ \\ \Rightarrow A=60000\frac{(1+(7/1200))^{^{240}}}{(1+(7/1200))^{240}-1}\Rightarrow A\approx465.18 \end{gathered}[/tex]

So, the monthly payment will be approximately $465.18.

The total amount paid will be:

[tex]\begin{gathered} X=A\ast n\ast t \\ \\ \Rightarrow X=(465.18)(12)(20)\Rightarrow X\approx111643.2 \end{gathered}[/tex]

So, the total payment will be approximately $111 643.2.

The cost of the mortgage is:

[tex]c=111643.2-60000\Rightarrow c\approx51643.2[/tex]

So, the cost of the mortgage is approximately $51 643.2.

Find the due date of a note dated October 24, 2018 for 2 months.

Answers

2 months after october 24th 2018 will be:

24th December 2018 which was a monday.

Add 3 days of grace period will give the due date to be 27th December 2018.

simplify 12 times y to the 6th power times z to the 4th power divided by 6 times y times z to the 6th power

Answers

The simplified expression of the given expression is 2y^5 z^{-2}

What is expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used.

Given expression, [tex]\frac{12y^6 z^4}{6 yz^6}[/tex]

Simplifying and we get

[tex]\frac{12y^6 z^4}{6 yz^6}\\=2y^{6-1} z^{4-6}\\=2y^5 z^{-2}[/tex]

Therefore, the simplified expression of the given expression is 2y^5 z^{-2}

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The Neckware association of America reported that 3% of ties sold in the United States are bow ties. If 4 customers who purchased a tie randomly selected,find the probability that at least 1 purchased a bow tie

Answers

[tex]Pr(at\text{ least 1 purchased a bow tie) = 0.1147}[/tex]

Explanation:

Pr (people with bow ties) = 3% = 0.03

p = 0.03

Pr (people without bow tie) = 1 - 0.03 = 0.97

q = 0.97

n = 4 customers

[tex]Pr(at\text{ least 1 purchased a bow tie) = 1 - Pr(none purchased a bow tie)}[/tex]

To find the probability that at least 1 purchased a bow tie, we will use a binomial probability formula:

[tex]p(x=^{}X)=^nC_xp^xq^{n\text{ - x}}[/tex][tex]\begin{gathered} \text{Pr(none purchased a bow tie) = p(x = 0)} \\ \text{p(x = 0) = }^4C_0\times p^0\times q^{4\text{ - }0} \\ \text{p(x = 0) = 1 }\times\text{ 1}\times q^4=(0.97)^4 \\ \text{p(x = 0) = }0.8853 \\ \\ \text{Pr(none purchased a bow tie) = }0.8853 \end{gathered}[/tex][tex]\begin{gathered} Pr(at\text{ least 1 purchased a bow tie) = 1 - 0.8853} \\ Pr(at\text{ least 1 purchased a bow tie) = 0.1147} \end{gathered}[/tex]

In the diagram below, if the measure of < C = 45 °, and side AB = 6.8, then side BC = _____.

Answers

Solution

Since

[tex]\begin{gathered} \tan45=\frac{6.8}{BC} \\ \\ \Rightarrow BC=\frac{6.8}{\tan45}=6.8\text{ since}\tan45=1 \end{gathered}[/tex]

The correct option is A.

A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, the team observes that the angle of elevation to the top of the mountain is 32o. From a point 2,000 feet closer to the mountain along the plain, the team finds that the angle of elevation is 35o. How tall (in feet) is the mountain? Round to two decimal places.

___________

Answers

To calculate the angle of elevation, just measure the angle formed by the line of sight and the level plain. The elevation of the peak is 10406.58 feet at its highest point.

This is further explained below.

What is the height of the mountain?

Where

<A=30

AB=2000

<A B C=180-33

<A B C=147

<B C A=180-<A-<A B C

< B C A=180-30-147

<BCA=3

To begin, the side length BC may be calculated by using the following formula:

[tex]\frac{B C}{\sin A}=\frac{A B}{\sin C}[/tex]

So, we have:

B C=sin A *(A B/sin C)

B C=sin (30) *2000/sin (3)

B C=19107.3

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Why is it incorrect to write {∅} to denote a set with no elements?

Answers

Answer:

It's incorrect because {∅} is saying that the set contains empty sets, which is not the same as saying the set is empty (which can be denoted by { } or ∅

Step-by-step explanation: It's all in the answer.

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0 1 2 3 4 5 6 7 8 9 100 1 2 3 4 5 6 7 8 9 100 1 2 3 4 5 6 7 8 9 10401234 5 6 7 8 9 10OB.C.OD. +Reset Selection Solve the inequality -30 10-40x and write the solution using:Inequality Notation: 1. PE = ?m = 0.6 kgg= 9.8 m/sh = 35 mWORKS DATE IN OUT IN OUT HOURS TEMPORARY EMPLOYEE TIME CARD NAME: Eugene Mueller 8/8 7:00 4:10 8/9 6:50 11:00 DEPT Sales 8/10 8/11 12:00 4:35 Note: No overtime rate. 10:55 3:25 EMPLOYEE SIGNATURE RATE per hour: $8.50 TOTAL HOURS: Suppose that the future price p(t) of a certain item is given by the following exponential function. In this function, p(t) is measured in dollars and t is the number of years from today. p(t) = 3000 * (1.019) ^ t What is the distance between (-5, 5) and (1, -2) The first equation should be multiplied by 7 and the second equation by -6. which medical imaging technique do you find most interesting? why? X=////////////////////////// Toms car has 1119 gallons of gas. If he uses 38 of the gas, how much gas does the car have left? 14#An ecologist randomly samples 12 plants of a specific species and measures their heights. He finds that this sample has a mean of 14 cm and a standard deviation of 4 cm. If we assume that the height measurements are normally distributed, find a 95% confidence interval for the mean height of all plants of this species. Give the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)Lower limit:Upper limit: what was one reason for the siege of savannah during the american revolution? a end the colonial blockade of british ships b end british military occupation of the city c force savannah loyalists to support the independence movement d force savannah businesses to provide military support to the patriots In Abc,AB=5 feet and BC=3 feet.Which inequality represents all possible values for the length of AC,in feet? Use the chart and your knowledge to answer the question that follows.Which best shows how Egypt became an empire?Box with three timelines labeled with letters. Timeline A reads, Ahmose I drives out the Hyksos and establishes a New Kingdom, Pharaohs use new military technology to conquer most of Syria, New wealth allows Egypt to conquer Libya and Nubia. Timeline B reads, The Hyksos defeat the Egyptians, The Middle Kingdom grows prosperous from trade, New Kingdom pharaohs conquer new territory. Timeline C reads, Pharaohs use new military technology to conquer most of Syria, Hyksos kings rule much of Eqypt for about a hundred years, The Middle Kingdom grows prosperous from trade.Responses A A B B C Fifth grade > Y.5 Compare and convert Which is more, 1/2 of a pound or 6 ounces? of a pound 2. 6 ounces neither; they are equal Submit Wich is closest to the volume of the cone in cubic feet? 6. Refer to the graph in question 5A) graph -f(x)B) graph f(x) -2 solve for y, 3x5y = 6 Here are some ingredients for bolognaise sauce 400g of minced beef 800g of tomato sauce 300 ml stock 300ml red wine. julia has 300g of minced beef. how much of the other ingredients does she need A square pyramid has a volume of 108 cubic feet and a height of 4 feet.What is the length of each side of the base of the pyramid?A 4 ftOLOB. 9 ftC. 18 ftD. 27 ftO E. 81 ftHelp please very hard