Choose all true statements.
All real numbers are rational numbers.
Some rational numbers are natural numbers.
No real numbers are irrational numbers.
All whole numbers are integers.
Some integers are natural numbers.
No rational numbers are integers.

Answers

Answer 1

Answer:

- All real numbers are rational numbers.   FALSE

- Some rational numbers are natural numbers. TRUE

- No real numbers are irrational numbers. FALSE

- All whole numbers are integers. TRUE

- Some integers are natural numbers. TRUE

- No rational numbers are integers. FALSE

Answer 2

Answer: B,D, and E

Step-by-step explanation:

A. All real numbers are rational numbers.

B. Some rational numbers are natural numbers

C.No real numbers are irrational numbers.

D.All whole numbers are integers.

E. Some integers are natural numbers.  

F. No rational numbers are integers.


Related Questions

Can somebody please help me on tjis

Answers

Answer:

Segment addition postulate

Step-by-step explanation:

It’s the Segment addition postulate.

ab+bc=ac

Segment addition postulate
Ab +bc=ac

Hope it helps ❄️

What is the y-intercept of the line passing through the point (9,-7) with a slope of -1/8 ?

Answers

Answer:

-47/8.

Step-by-step explanation:

If the line has a slope of -1/8, that means the equation y = mx + b will be y = -1/8x + b.

In this case, we are given a point: (9, -7). That means that x = 9 and y = -7.

-7 = (-1/8)(9) + b

b - 9/8 = -7

b = -56/8 + 9/8

b = -47/8 = -5.875 = -5 and 7/8, which is your y-intercept!

Hope this helps!

MATT plans to put concrete on a regular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete that needs is $58.07.

Answers

THIS IS THE COMPLETE QUESTION BELOW;

Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?. . [1 foot = 12 inches; 1 yard = 3 feet]. a. 0.5 feet. b. 1.5 feet. c. 3 feet. d. 6 feet

Answer:

OPTION D is correct

d)6feet

Step by step Explanation:

We were given The price of concrete as $98 per cubic yard

Price= $98 /yrd³

But 1 foot = 12 inches

1 yard = 3 feet

Square both side we have,

Then 1yrd³ = 27 ft³.

So we can use this conversion factor to convert $98 /yrd³ to per ft³ as follows

$98 /yd³) ×(1 yrd³ / 27 ft³) = $ 98/27/ft³

If we denote the width of the portion as "y"

then the volume of the rectangular portion of the driveway =

= (8 ft) (1/3 ft) x = 8y/3 ft³

But we're given The total cost of the concrete Matt needs as $58.07,

Total cost = $58.07 = (8y/3)(98/27)

y= 5.99957 ft= 6feet

Therefore, the width of the portion of the driveway is 6feet

What is the solution to the equation? Show your work and explain your answer. 4(x+2)−1=4x+7

Answers

Answer:

infinitely many solutions / all real numbers

Step-by-step explanation:

distribute the 4 on the left side of the equation

4 • x = 4x

4 • 2 = 8

4x + 8 - 1 = 4x + 7

combine like terms

4x + 7 = 4x + 7

0 = 0

since this expression is true, there are infinitely many solutions

4x+8-1=4x+7
x=x


There are infinitely many solutions. Any number works.

A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line? A y= 1/2x + 3/2 B y= 1/2x -3/2 C y= 1/2x -1/2 D y= -1/2x -3/2

Answers

Answer:

[tex](B.) y= 1/2x -3/2[/tex]

Step-by-step explanation:

[tex](-3, -3) = (x_1,y_1)\\m = 1/2\\\\y-y_1=m(x-x_1)\\\\y -(-3)=\frac{1}{2} (x -(-3)\\\\y+3 = \frac{1}{2}(x+3)\\\\ y+3 = \frac{1}{2} x+\frac{3}{2}\\\\ y = \frac{1}{2} x +\frac{3}{2} -3\\\\y = \frac{1}{2} x - \frac{3}{2}[/tex]

Answer:

[tex]\Large \boxed{\mathrm{Option \ B}}[/tex]

Step-by-step explanation:

y = mx + b

(slope intercept form of a line)

m = slope

b = y-intercept

y = 1/2x + b

Only three options have a slope of 1/2.

y= 1/2x + 3/2

y= 1/2x - 3/2

y= 1/2x - 1/2

The line crosses the point (-3, -3), x = -3 and y = -3.

-3= 1/2(-3) + 3/2

-3= -3/2 + 3/2

-3 = 0

This is false.

-3= 1/2(-3) - 3/2

-3 = -3/2 - 3/2

-3 = -6/2

-3 = -3

This is true.

-3= 1/2(-3) - 1/2

-3 = -3/2 - 1/2

-3 = -2

This is false.

9e - 7 = 7e – 11
Please help!?,!;):)

Answers

Answer:

e=-2

Step-by-step explanation:

9e-7e=-11+7

2e=-4

e=-2

The data give the average number of days in May that are clear

I really need help

Answers

Answer:

C. 0.10, because 6 of the 60 days were clear

Step-by-step explanation:

As per the question, you're in San Antonio which indicates 1st look in San Antonio's row.

Then we want the chance or probability it's clear, so look in clear column. We will find the value that is "6"

So 6 on a total of 60 which is the huge total. Accordingly,  Probability it is right, since that you are into the San Antonio. Then it becomes

[tex]= \frac{6}{60}[/tex]

= 0.1

Therefore the right answer is C.

PLS HELP I WILL GIVE BRAINLIST AND A THANK YOU!!!!! :)

Answers

Answer:

A

Step-by-step explanation:

Both angles together are supplementary, or they add up to 180 degrees.

(3x+12)+x=180 degrees

Answer:A. (3x+12)+x=180

Step-by-step explanation:

If the geometric mean of a and 120 is 60, find the value of a.

Answers

Answer:

The answer is option 4.

Step-by-step explanation:

Given that the mean formula is total score/number of score. So we can assume that total score is (a+120), number of score is 2 and the mean value is 60. Then you have to find the value of a :

[tex] \frac{a + 120}{2} = 60[/tex]

[tex]a + 120 = 60 \times 2[/tex]

[tex]a + 120 = 120[/tex]

[tex]a = 120 - 120[/tex]

[tex]a = 0[/tex]

[tex] \text{ Geometric mean of two numbers } a \text{ and } b , \text{ where } a,b>0 \text{ is given by } G= \sqrt{ab}[/tex]

[tex] \sqrt{a\cdot120}=60 [/tex]

[tex] \implies 60 \cdot 2 \cdot a=60\cdot 60 \qquad \text{Squaring both sides} [/tex]

[tex] \implies a =30 [/tex]

) Martha went to the store with $75.00. She bought 3 pairs of socks for $4.00 each, she bought 2 shirts for $20.00 each, and she bought a skirt for $21.00. How much money did she have left?

Answers

She would have $2 left.

Answer:

She had $2.00 left.

Step-by-step explanation:

PEMDAS

$75 - [(3 x $4) + (2 x $20) + $21 ]

$75 - [ $12 + $40 + $21]

$75 - [ $52 + $21]

$75 - $73

$2

A square has a perimeter of 32 and one vertex at (6,8). what could be the location of another vertex of this shape?

PLEASE HELP I AM IN A RUSH!!!​

Answers

Answer:

6,5

Step-by-step explanation:

Answer:

(6,0),(-2,8),(-2,0)

Please solve (will make brainiest)

Answers

Answer:

1a) 1/64

1b) 1/169

1c) 1/9

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

Question A,

[tex] {4}^{ - 3} = \frac{1}{ {4}^{3} } = \frac{1}{64} [/tex]

Question B,

[tex] {13}^{ - 2} = \frac{1}{ {13}^{2} } = \frac{1}{169} [/tex]

Question C,

[tex] {( - 3)}^{ - 2} = {( - \frac{1}{3}) }^{2} = \frac{1}{9} [/tex]

HE SODA MACHINE
The soda machine at your school offers several types of soda. There are two buttons for your favorite drink, Blast,
while the other drinks (Slurp, Lemon Twister, and Diet Slurp) each have one button.
Describe the input and output of this soda machine.
While buying a soda, Ms. Whitney pushed the button for Lemon Twister and got a can of Lemon Twister.
Later she went back to the same machine, again pushing the Lemon Twister button, but this time she got a can
of Blast. Is the machine functioning consistently? Why or why not?
BLAST
BLAST
BLUSO
ooo
Students, write your resnonsel

Answers

Answer:

yes and no

Step-by-step explanation:

if a machine is work a lot lot LOT, then it might be jamed

or the teacher might have accidentally pressed blast and you might have not seen the buttons correctly

( also i am not a student of yours )

please simplify this question

Answers

Answer:

8 107/120 (Decimal: 8.891667)

Step-by-step explanation:

12  1 /2 −5  13 /72 +1  3 /5 − 1 /36

= 25 /2 −5  13 /72 +1  3 /5 − 1 /36

= 25 /2 − 373 /72 +1  3 /5 − 1 /36

= 527 /72 +1  3 /5 − 1 /36

= 527 /72 + 8/ 5 − 1 /36

= 3211 /360 − 1 /36

= 1067 /120

=8  107 /120

HOPE THIS HELPS!!!!!! :)

<3333333333

Move ABC so it lies on top of , DEF, GHI and JKL. How many units do you have to move ABC from its original location to coincide with each of the other triangles? Specify how ABC moves up, down, left, or right.

Answers

Answer: triangleDEF - 3 units down

triangleGHI - 5 units left

triangleJKL - 4 units left and 5 units down

Step-by-step explanation:

Divisibility by 10 of number 7236

Answers

7236 is NOT divisible by 10

Step-by-step explanation:

any number that ends with zero is divisible by 10 but 7236 dosent end with zero so 7236 isnt divisible by 10

Given: Quadrilateral DEFG is inscribed in circle P. Prove: m∠G+m∠E=180∘

Answers

Answer:

The answer is below

Step-by-step explanation:

Let lines be drawn from D to F (line DF) and from F to G (line FG) as shown in the diagram attached.

∠FDE = ∠FGE (angles in the same segment).

Also, ∠EFD = ∠EGD (angles in the same segment)

∠FDE + ∠EFD = ∠FGE + ∠EGD = ∠FGD

Adding ∠FED on both sides gives:

∠FDE + ∠EFD + ∠FED = ∠FGD + ∠FED

But ∠FDE + ∠EFD + ∠FED = 180° (sum of angles in a triangle)

Therefore ∠FGD + ∠FED = 180°

m∠G + m∠E = 180° (sum of opposite angles in a cyclic quadrilateral is 180°)

20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8

Answers

Answer:

(D) There are [tex]5 \frac{1}{2}[/tex]  three-fourths in [tex]4 \frac{1}{8}[/tex]

Step-by-step explanation:

We can see that in this model, the student tried to put [tex]\frac{3}{4}[/tex] into  [tex]4 \frac{1}{8}[/tex]. We know this because the top of Step 2 is  [tex]4 \frac{1}{8}[/tex] and he is counting how many fourths in the bottom.

So this becomes the division statement:

[tex]4 \frac{1}{8} \div \frac{3}{4}[/tex].

We can convert  [tex]4 \frac{1}{8}[/tex] into a mixed number by multiplying 8 and 4, then adding 1.

[tex]\frac{33}{8} \div \frac{3}{4}[/tex].

Multiply by the reciprocal:

[tex]\frac{33}{8} \cdot \frac{4}{3} = \frac{132}{24}[/tex]

Which simplifies down to

[tex]\frac{11}{2}[/tex], which is just [tex]5 \frac{1}{2}[/tex] in improper form.

Hope this helped!

Answer:

D

Step-by-step explanation:

in a polynomial function of degree 5, what is the maximum number of extreme that could be possible? (please explain with the answer if possible!)

Answers

Answer:

4 maximum extrema

Step-by-step explanation:

5th degree means that it can change direction 5 times, therefore creating a maximum of 4 extrema

ANSWER QUICKLY PLZZZZZZ ​

Answers

Answer:

A= 17 B= 19

Step-by-step explanation:

Answer:

a) 17 cups water

b) 19 cups rice

Step-by-step explanation:

w = 1.5r + 0.5

For 11 cups of rice, r = 11.

w = 1.5(11) + 0.5

w = 16.5 + 0.5

w = 17

For 11 cups of rice, 17 cups of water are needed.

With 29 cups of water, w = 29.

29 = 1.5r + 0.5

28.5 = 1.5r

r = 19

With 29 cups of water, 19 cups of rice can be cooked.

The circle shown below is a unit circle, where ∠a=π/3 and the radius of the circle is 1.

Answers

Answer:

Step-by-step explanation:

PLS HELP I WILL GIVE YOU A BRAINLIST AND A THANK YOU!!!!

Answers

Answer:

75

Step-by-step explanation:

We have a 90 degree angle and a 15 degree angle that add up to 105. The angle that is missing can be found by doing 180 - 105 = 75 (since it's a straight line). X is vertical from the 75 degree angle, so 75 is your answer.

Answer:

x= 75°

Step-by-step explanation:

i have added a sketch of it

Let P be a non zero polynomial such that P(1+x)=P(1−x) for all real x, and P(1)=0. Let m be the largest integer such that (x−1) m divides P(x) for all such P(x). Then m equals

Answers

Answer:

m = 0, P(3)/2, P(4)/6, P(5)/12 ..........

Step-by-step explanation:

For non zero polynomial, that is all real x as follows:

x = 1, 2, 3, 4 ............

Using, P(1 + x) = P(1 - x)

For x = 1: P(2) = P(0) = 1

For x = 2: P(3) = P(-1) = 2

Hence, P(x)/m(x - 1) can be solved as follows:

When = 1

P(2)/0 = 1

∴ m = 0

When x = 2

P(3)/m = 2

∴ m = P(3)/2

When x = 3

P(4)/2m = 3

∴ m = P(4)/6

When x = 4

P(5)/3m =  4

∴ m = P(5)/12

Hence, m = 0, P(3)/2, P(4)/6, P(5)/12......

find the exterior angle of a triangle whose interior opposite angles are 43 degree and 27 degree

Answers

Answer:

[tex]\huge\boxed{Exterior\ angle = 70\°}[/tex]

Step-by-step explanation:

The measure of exterior angle is equal to the sum of opposite interior angles.

So,

Exterior angle = 43+27

Exterior angle = 70°

6 to the third power divided by 4+2 x 9(32x8-17x4)

Answers

Answer:

3438.

Step-by-step explanation:

6³ ÷ 4 + 2 × 9 (32 × 8 - 17 × 4)

= 6³ ÷ 4 + 2 × 9 (256 - 68)

= 6³ ÷ 4 + 2 × 9 × 188

= 216 ÷ 4 + 2 × 9 × 188

= 54 + 2 × 9 × 188

= 54 + 3384

= 3438

3438 is the answer.

Please help for 14 point 5 stars and 1 thanks! :]

Answers

Answer:

x=22000 ( bonds)

Step-by-step explanation:

total money invested=26000 , x for bonds and y stocks

x+y=26000 ⇒ x=26000-y

0.05 x + 0.08 y=1420  solve by substitute : x=26000-y

0.05(26000-y)+0.08 y =1420

1300-0.05y+0.08y=1420

0.03y=1420-1300

y=120/0.03

y= 4000 ( the amount invested in stocks)

the amount invested in bonds x= 26000-4000

x=22000 ( bonds)

check :

0.05(22000)+0.08(4000)= 1420 correct

If 3sinA+4cosA=5 then find the value of cosA

Answers

Answer:

cos(A) = 4/5

Step-by-step explanation:

3sinA+4cosA=5

Divide by 5 on both sides

(3/5)sinA+(4/5)cosA = 1 .................(1)

from which sin(A) = 3/5, cos(A) = 4/5  by inspection, since

(3/5)^2+(4/5)^2 = 1

For more details,

Let

cos(B) = (3/5), then

sin(B) = (4/5)

Substitute in (1)

cos(B)sin(A) + sin(B)cos(A) = 1          substitute trigonometric sum

sin(A+B) = 1  => A & B are complementary

cos(A) = sin(B) = 4/5

Jorge’s monthly bill from his Internet service provider was $25. The service provider charges a base rate of $15 per month plus $1 for each hour that the service is used. Find the number of hours that Jorge was charged for that month.

Answers

Answer:

10 hours for the month

Step-by-step explanation:

What you know: The total amount Jorge was charged for the month was $25

The base rate is $15

He gets charged $1 per each hour

Setting it up:

15+1h=25

(the 15 is the base rate, plus the 1 dollar per hour (h) which both add to the total of 25 dollars for the month)

Subtract 15 from both sides of the equation to get your variable by itself

1h=10

then divide the 1 on both sides to get h (hours) by itself

h=10

And there's your answer, 10 is the number of hours that Jorge was charged for the month

Hopefully this helped :))

Answer:

10

Step-by-step explanation:

$25 - $15 = $10

and its $1 per hour so the answer is 10hrs

Please answer this question now

Answers

Answer:

98.1km²

Step-by-step explanation:

The name of the Triangle in this question is: WXV

In the question, we have:

Angle W = ? Unknown

Angle X = 119°

Angle V = 34°

Side w =?

Side x = 26km

Side v = ?

Step 1

We have to find the missing third angle = Angle W

Sum of angles in a triangle = 180°

= Angle W = 180° - (119 + 34)°

= 180° - 153°

Angle W = 27°

Step 2

Find the sides w and v using the sine rule

Sine rule =

a/ sin A = b/ Sin B

Hence for triangle WXV

w/ sin W = x/ sin X = v/ sin V

We have the following values

Angle W = 27°

Angle X = 119°

Angle V = 34°

We are given side x = 26km

a) Finding side w

w/ sin W= x/ sin X

w/sin 27 = 26/sin 119

Cross Multiply

sin 27 × 26 = w × sin 119

w = sin 27 × 26/sin 119

w = 13.49587km

w = 13.5km

b) Finding side v

x / sin X= v/ sin V

26/ sin 119 = v/sin 34

Cross Multiply

sin 119 × v = 26 × sin 34

v = sin 34 × 26/sin 119

v = 16.62324km

v = 16.62km

Step 3

Detemine the area of triangle WXV

We make use heron formula

= √s(s - w) (s - x) (s - v)

Where s = w + x + v/ 2

s = (13.5 + 26 + 16.62)/2

s = 56.12/2

s = 28.06

Area of the triangle = √28.06× (28.06 - 13.5) × (28.06 - 26 ) × (28.06 - 16.62)

Area of the triangle = √9628.137559

Area of the triangle = 98.123073530337km²

Approximately to the nearest tenth =98.1km²

how many are 5 raised to 4 ???​

Answers

Answer:

625

Step-by-step explanation:

5⁴ = 5x5x5x5 = 625

Other Questions
A national sampling of cookie preferences showed that 75% of people like chocolate chip, 50% like peanut butter, and only 3% like coconut. The use of this information makes sense in which of the following scenarios? A. The school cafeteria decides to make 3 coconut cookies for each 100 students who buy lunch, even though it puts them over budget for desserts. B. A national cookie company is thinking of changing the recipe in their peanut butter cookies. C. A national cookie company decides to spend $5 million in advertising to convince people to eat coconut cookies. D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer. PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! I really need help here I am super confused Which of the following steps can be performed so that the square root property may easily be applied to 2x^2=16?(1 point) The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 2 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 16 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 16 before applying the square root property. Which of the following steps would not be necessary when using the square root property to solve a quadratic equation?(1 point) The square root property may be applied only if the constant is positive. Isolate the quantity being squared. After applying the square root property, solve the resulting equations. When taking the square root of both sides, use on the square root of the constant. A cyclist moves effortlessly at a constant speed of 12 m / s, but enters a muddy area where the coefficient of kinetic friction is 0.60. Will the rider leave the muddy area without having to pedal if the mud extends 11m? If so, how fast will it emerge? Two twelve-year-old boys were seriously injured when riding on a go-kart. The boys were riding on public streets, ran a stop sign, and were hit by a car that did not see them. The go-kart had clear warning labels on the sides stating that it was only for off-road use only. The manual stated the go-kart not to be used on public streets. The parents sued the go-kart manufacturer. One basic issue in this case would be: A plane took off at a point that is 42 meters from the control tower. The flight path takes the plane over the control tower that is 98 meters high. After traveling 83 meters, which statement is most accurate?A. The plane needs to be about 15 meters higher to clear the tower.B. The plane clears the tower with about 27 meters to spare.C. The plane clears the tower with about 15 meters to spare.D. The plane needs to be about 27 meters higher to clear the tower. I need help please help me! which of the following words has the same meaning as the phrase Vamos a estudiar Determine the area of the shape above. The formula for the area of a polygon is: Area = 1/2 (a n s) * n/2-3n/4+5n/6=21 please tell the answer Max believes that the sales of coffee at his coffee shop depend upon the weather. He has taken a sample of 5 days. Below you are given the results of the sample. Cups of Coffee Sold Temperature 350 50 200 60 210 70 100 80 60 90 40 100 A. Which variable is the dependent variable? B. Compute the least squares estimated line. C. Compute the correlation coefficient between temperature and the sales of coffee. D. Predict sales of a 90 degree day. Under Roosevelts leadership, the United States sent troops to occupy? The involvement by a company in more than one of the activities in the entire value chain from development through production, distribution, sales, and after-sales service is called ________. opportunity cost vertical integration relevant cost avoidable cost Your boss has asked you to hand deliver five invitations to a special luncheon he is hosting. When you receive theinvitations, they have only first and last names but no addresses. You remember that they all live side by side in anapartment building on Central Street. The boss left the following information with his assistant, but it is all you have. Time toproblem-solve to figure out who lives where!This much you know for sure Carly has Greg as one next-door neighbor and the Joneses as her other next-doorneighbors. Now it's it up to you to figure out who lives in the other apartments. It may be helpful for you to draw five boxesto use as a visual guide. Furthermore, writing names on your drawing in pencil will allow you to keep track of the neighborsas you place them in their homes.1 The Smiths live in the westernmost apartment, Louis lives in the easternmost2. Leon has Mia as one next-door neighbor with TJ on the other side.3. Both Tami and TJ live east of the Williamses.4. TJ lives next door to the Browns5. Tom lives west of the Garcias and east of Carly6. Kris and Tami are next-door neighbors. The Garcias also live next to Tami but on the other side.7. Nikki lives east of TJ. Find a b. a = 5i + 7j, b = -4i + 3j 1 41 I need help with the following question . You have two solutions, both with a concentration of 0.1M. Solution A contains a weak acid with a pKa of 5. ThepH of solution A is 3. Solution B contains a weak acid with a pKa of 9. The pH of solution B is: What is the mulitplicative rate of change for the exponential function f(x) = 2 (5over2) to the negative x power ? Define the following, and give the letter which we will abbreviate them by: Center of curvature: Vertex: Focal Point: Radius of curvature: Focal length: How do these lines of "The Battle of Dorking" catch a reader's attention?