The table shows the number of apples and oranges sold at a grocery store over a 6 day period. Which statement is TRUE?

A) The range of oranges is 43 more than the range of apples.
B) The range of apples is 43 more than the range of oranges.
C) The range of oranges is 76 more than the range of apples.
Eliminate
D) The range of apples is 76 more than the range of oranges

The expanded form of 0.985 is  0.9 + 0.08 + 0.005.

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Example: 1.2 is the decimal number, where 1 is the whole part and 0.2 is the fractional part.

Given:

The decimal number 0.985.

To find the expanded form of 0.985:

First, convert the number to fractional form.

0.985 = 985/1000

          = 900/1000 + 80/1000 + 5/1000

          = 0.9 + 0.08 + 0.005

0.985 = 0.9 + 0.08 + 0.005

Therefore, 0.9 + 0.08 + 0.005 is the expanded form of 0.985.

To learn more about the decimal;

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Answer:

200°

Step-by-step explanation:

The angle subtended at the centre is equal to the measure of the intercepted arc, thus

arc MQ = 85° + 75° = 160°

The measure of the circle is 360°, thus

arc QRM = 360° - 160° = 200°

The equation for the temperature D as a function of time t in hours is given by D = 50 + 14 sin[2π/24 (t - 16)]. This equation uses a sinusoidal function to describe the fluctuation of temperature around the average of 50 degrees with an amplitude of 14 degrees.

To model the temperature D at a given time, we use a sinusoidal function based on the high and average temperatures. We know the high temperature of 64 degrees occurs at 4 PM (which is 16 hours after midnight), and the average temperature for the day is 50 degrees. This means the amplitude of the function (or the variation above and below the average) is 14 degrees (which is 64-50).

The sinusoidal function can, therefore, be written as follows: D = 50 + 14 sin[2π/24 (t - 16)]. This function describes how, starting from the average temperature of 50 degrees, the temperature fluctuates by 14 degrees in a sinusoidal manner.

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Answer:

Answer for this question would be: A, 3.67

Answer:

A. 3.67

Step-by-step explanation:

1. Add the two vectors (2.5,1.8)+(-6,-.7)=(-3.5,1.1)

2. Find the magnitude using square root of a^2+b^2

sqrt(-3.5)^2+(1.1^2)=sqrt(12.25+1.21)=sqrt(13)=3.67

Answer:

12.56

Step-by-step explanation:

Answer:

[tex]\$180.55[/tex]

Step-by-step explanation:

step 1

Simple interest

we know that

The simple interest formula is equal to

[tex]A=P(1+rt)[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04[/tex]

substitute in the formula above

[tex]A=2,250(1+0.04*10)[/tex]

[tex]A=2,250(1.4)[/tex]

[tex]A=\$3,150[/tex]

step 2

Interest compounded annually

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1[/tex]

substitute in the formula above

[tex]A=2,250(1+\frac{0.04}{1})^{1*10}[/tex]  

[tex]A=2,250(1.04)^{10}[/tex]  

[tex]A=\$3,330.55[/tex]

step 3

Find the differences between the two final amounts

[tex]A=\$3,330.55-\$3,150=\$180.55[/tex]

Answer:

808.38

Step-by-step explanation:

:)

Answer:

b^-2  or 1/b^2

Step-by-step explanation:

b^0

--------

b^2

We know when we divide powers of the same base, we subtract

b^(0-2)

b^-2

If we are not allowed negative exponents then

1/b^2

Answer:

SA= 902.88 yd²

V = 1386.24 yd³

Step-by-step explanation:

Surface area

Since the bases are right triangles, you need to find the base of the triangle. Use Pythagorean theorem as you are given the hypotenuse and one leg.

19² = 15.2² + b²

361 = 231.04 + b²

Subtract 231.04 from both sides

b² = 129.96

Root that

b = 11.4

Now that you have the base, find the areas of the triangles and rectangles.

Triangles - (15.2*11.4)1/2 (2)

15.2*11.4 = 173.28

Rectangles - (15.2)(16) = 243.2

(16)(11.4) = 182.4

(16)(19) = 304

Add them all together and the SA equals 902.88 yd²

Volume

V = Bh

V = 1/2(15.2)(11.4)(16)

V = 1/2 (2772.48)

V = 1386.24 yd³

Answer:

its 176, the warehouse is 88 miles from the airport and the factory

Step-by-step explanation:

Answer:

[tex]x = -9, x = -6[/tex]

Step-by-step explanation:

Step 1:  Find the zeroes

(x + 9)

[tex]x + 9 - 9 = 0 - 9[/tex]

[tex]x = -9[/tex]

(x + 6)

[tex]x + 6 - 6 = 0 - 6[/tex]

[tex]x = -6[/tex]

Answer:  [tex]x = -9, x = -6[/tex]

Answer:

1)

b= -7

m=1

2)

b= 4

m=0

3)

b=3

m=-2

Step-by-step explanation:

Answer:

1 . m=1  b =7

2.m=0   b = 4

3. m= -2 b = 3

your welcome mark branliest if possible thanks

Answer:

6.3 feet

Step-by-step explanation:

diameter is 2ft.

so the "r" radius is half of diameter. i.e 1 ft.

therefore, circumference of wheel =2  x pi x r

2 x 3.14 x 1 = 6.3

Answer:

the circumference of a circle = 6.26 feet

Step-by-step explanation:

to evaluate how far the  bike will go in one rotation simply means to find the circumference of the wheel

given that

diameter = 2feet

π = 3.14

recall, that

the formulae for calculating the circumference of a circle = 2πr

note diameter = 2 x radius

radius = diameter / 2

radius = 2/2

radius = 1feet

the circumference of a circle = 2πr

the circumference of a circle = 2 x 3.14 x 1

the circumference of a circle = 6.26 feet

-2 2/3 as an improper fraction would be -8/3

Hope this helps :)

Answer:

-8/3

Step-by-step explanation:

-2 2/3

Leave the negative outside

Take the denominator and multiply it by the whole number

3*2 =6

Then add the numerator

6+2 =8

Put that over the denominator

8/3

Bring back the negative that was on the outside

-8/3

Answer:

x = 77.5

Step-by-step explanation:

Assuming that you meant:

0.4x+18 = -13

Subtract 18 on both sides:

0.4x = -31

Multiple by 5/2 on both sides

x = 77.5

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Answer:

 a, c, d

Step-by-step explanation:

Answer:

The rate of change from 2 years to 4 years on the graph is 1.5 inches per year & The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

the salesman's claim is false because the new machine only makes 20 items an hour and the old one makes 25. So in 8 hours the new machine will only make 160 items and the old one will make 200

Answer:-9492xs+7h

Step-by-step explanation:if you do 678 divided by -4 it would be -169.5 then multiply that by 56 witch would be -9492 then times s would be -9492xs then that added to 7h would be -9492xs+7h and your final answer

Answer:

The sets has more than 150 students

P∪A∪M

-(P∩A)

Step-by-step explanation:

See the attached figure which represents Venn diagram for the question:

180 take PE

80 take art

72 take music

33 take PE and art

28 take PE and music

20 take all three

M= all students taking music

A= all students taking art

P= all students taking PE

Number of students taking PE and art only = 33 - 20 = 13

Number of students taking PE and music only = 28 - 20 = 8

Number of students taking PE only = 180 - (20 + 13 + 8) = 139

Number of students taking ARt only = 80 - (20 + 13) = 47

Number of students taking Music only = 72 - (20 + 8) = 44

Number of students doesn't take any thing =

300 - (20 + 13 + 8 + 139 + 47 + 44) = 29

We will check the options to find the sets has more than 150 students:

1)  A∪M = 13 + 47 + 20 + 8 + 44 = 132 < 150

2) P∩M = 20 + 8 = 28 < 150

3) P∩A∩M = 20 < 150

4) P∪A∪M = 20 + 13 + 8 + 139 + 47 + 44 = 271 > 150

5) -(P∩A) = 300 - (13+20) = 267 > 150

So, The sets has more than 150 students

P∪A∪M

-(P∩A)

Answer:

two solutions : (0,-3)  , (3,0)

Step-by-step explanation:

hello :

y= x² -2x -3 ...(*)

y= x -3....(**)

x²-2x-3 = x -3

x²-3x=0

x(x-3) = 0

x=0 or x-3=0

x=0 or x=3

but : y=x-3

1) x=0   y=0-3=-3

2) x=3   y=3-3=0

two solutions : (0,-3)  , (3,0)

Answer:

9:6 or 3:2

Step-by-step explanation:

Answer:

9:15 or 3:5

Step-by-step explanation:

There are 9 sedimentary rocks, and there are 15 total rocks. So the ratio would be 9:15 OR you could say 3:5 in simplest form.

Hope this helped! :)

Answer:

Slope is 5/7

Step-by-step explanation:

the slope of a line is given by;

m = (y-y1)/(x-x2)

Where;

y represents the coordinate of point 1 on the Y-axis

x represents the coordinate of point 1 on the X-axis

y1 represents the coordinate of point 2 on the Y-axis

x1 represents the coordinate of point 2 on the X-axis

Points on a line are written as the ordered pair (x, y)

We are given point 1 (2, -2) and it corresponds to (x, y)

Point 2 (9, 3) and it corresponds to (x1, y1)

Therefore the slope,

m = (-2-3)/(2-9)

m = -5/-7

m = 5/7

Therefore, the slope of the line through (2,−2) and (9, 3) is 5/7

Answer:

3/5

Step-by-step explanation:

3 up and 5 over from point to point

Answer:

3/5

Rise=3

Run=5

Step-by-step explanation:

For this question it makes it easy because they have provided you with Lines labeled Rise and Run. All you need to do now is Count the rise and run.

For Rise over run if you go up as a rise it's a positive number...But if you go down its a Negative number same with Run.... If it runs to the right its positive and if it runs to the left its negative.

For Rise it goes up...1,2,3 Spaces so Rise is 3

For run it moves to the Right 1,2,3,4,5 spaces so Run is 5

3/5 cant be reduce so it stays as a fraction.

Correct Options are:

Option A: (Negative one-fourth) cubed

Option B: Negative (one-fourth) cubed

Option D: Negative (StartFraction 1 Over 8 EndFraction) squared

Option F: Negative (one-half) Superscript 6

Step-by-step explanation:

We need to check the expressions that have value [tex]-\frac{1}{64}[/tex]

Option A: (Negative one-fourth) cubed

[tex](-\frac{1}{4})^3[/tex]

Solving: [tex](-\frac{1}{4})^3[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option A is correct.

Option B: Negative (one-fourth) cubed

[tex]-(\frac{1}{4})^3[/tex]

Solving: [tex]-(\frac{1}{4})^3[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option B is correct

Option C: (Negative StartFraction 1 Over 8 EndFraction cubed

[tex](-\frac{1}{8})^3[/tex]

Solving: [tex](-\frac{1}{8})^3[/tex]

We get [tex]-\frac{1}{512}[/tex]

So, Option C is not correct.

Option D: Negative (StartFraction 1 Over 8 EndFraction) squared

[tex]-(\frac{1}{8})^2[/tex]

Solving: [tex]-(\frac{1}{8})^2[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option D is correct.

Option E: (Negative one-half) Superscript 6

[tex](-\frac{1}{2})^6[/tex]

Solving:[tex](-\frac{1}{2})^6[/tex]

We get: [tex]\frac{1}{64}[/tex]

So, Option E is not correct.

Option F: Negative (one-half) Superscript 6

[tex]-(\frac{1}{2})^6[/tex]

Solving:[tex]-(\frac{1}{2})^6[/tex]

We get: [tex]-\frac{1}{64}[/tex]

So, Option F is correct.

So, correct Options are: Option A, B, D and F

Answer:

Angle x=19°

Angle Y=53°

I might be wrong though.

Step-by-step explanation:

Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.

There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.

Angle X=90-71=19

Angle Y=180-37-71-19=53.

Answer:

3600 miles

Step-by-step explanation:

75mi/15 seconds is our proportion

there are 60 seconds in 1 minute. 60/15 = 4

there are 12 minutes. 12X 4 = 48

we need to multiply 75 mi by 48 to find our distance

75 X 48 = 3600