Which compound inequality does the number line represent?

The number line goes from negative 7 to positive 7. At negative 3, there is a filled-in circle. At positive 2, there is an open circle. Between negative 3 and positive 2, the number line is shaded.

The time required for the sloth to travel an 11.5-meter tree is

171.64 seconds.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A sloth is traveling at its top speed of 0.067 m/s.

∴ The time required for the sloth to travel an 11.5-meter tree is,

= (11.5/0.067) secs.

= 171.64 seconds.

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Answer:

5

Step-by-step explanation:

10/2=5

The scale factor of the given case that the distance from D to D' is 10 and the distance from A to D is 2 will be 5.

What is the scale factor?

The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics.

The scale factor is the ratio between two big and small figures and the ratio is called a scale for the given geometry.

For example, if we have a triangle with a side of 10 meters and another triangle with a side of 5 then the scale ratio will be 10/5 = 2.

Given that

distance from D to D' is 10

distance from A to D is 2  

So the scale ratio will be

DD'/AD  = 10/2  = 5 hence scale ratio will be 5 for the given

geometry.

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Answer:

\( \displaystyle \large{y = \frac{1}{4} x + 1}\)

Step-by-step explanation:

Whenever you solve a word problem, our first step is to read and gather the information we find.

"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"

After reading the question, I am going to highlight or bold the contexts that are important to our problem-solving.

"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"

First, let's understand that slope-intercept equation is in the form of y = mx+b where m = slope and b = y-intercept

After reading the context, what do we know?

We finally have the information — our first step is to write our slope-intercept equation.

\( \displaystyle \large{y = mx + b}\)

We know that m is slope which is 1/4 — substitute in the equation.

\( \displaystyle \large{y = \frac{1}{4} x + b}\)

We have used the two information which are a slope of 1/4 and slope-intercept equation.

That only leaves to one information which is a line that passes through (-8,-1).

Since the graph has to pass through the point, we substitute x = -8 and y = -1.

\( \displaystyle \large{ - 1= \frac{1}{4} ( - 8)+ b}\)

After using all information, it seems that we are solving for b-term or y-intercept.

\( \displaystyle \large{ - 1= \frac{1}{1} ( - 2)+ b}\)

From above — cross-division.

\( \displaystyle \large{ - 1= 1( - 2)+ b} \\ \displaystyle \large{ - 1= - 2+ b}\)

Add both sides by 2 to isolate b-term.

\(\displaystyle \large{ - 1 + 2= - 2 + 2+ b} \\ \displaystyle \large{ 1= b}\)

Therefore, the value of b is 1. From the equation:

\( \displaystyle \large{y = \frac{1}{4} x + b}\)

Substitute b = 1 in the equation.

\( \displaystyle \large{y = \frac{1}{4} x + 1}\)

And we're done!

ANSWER

EXPLANATION

The slope-intercept equation of a straight line is of the form\(\sf{}y = mx + b\)

Where,

'm' is the slope

'b' is the y-intercept

From the question we have slope to be

\(\sf{}m = \frac{1}{4}\)

We substitute the slope into the slope-intercept equation and obtain:

\(\sf{}y = \frac{1}{4}x + b\)

To find the value of 'b' we plug in the point (-8,-1) into our current equation.

\(\sf- 1= \frac{1}{4}( - 8)+ b\)

\(\sf- 1= - 2+ b\)

\(\sf- 1 + 2 = b\)

\(\sf{}b= 1\)

The complete equation is

Mean of the set of numbers = 23

Median of the set of numbers = 23

Mode of the set of numbers = 16, 19, 23, 26, 31

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Given numbers,

26, 31, 19, 23, 16

Putting in Ascending order

16, 19, 23, 26, 31

No. of elements N = 5

Mean = (26 + 31 + 19 + 23 + 16)/5

Mean = 115/5

Mean = 23

Since N = 5 (Odd)

Median = (N+1)/2th term

            = (5+1)/2th term

            = 6/2th term

            = 3rd term

            = 23

Every element has same frequency,

Mode = 16, 19, 23, 26, 31

Hence, Mean = 23, Median = 23 and Mode = 16, 19, 23, 26, 31

of the set of the numbers.

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Answer:

x = 14

Yes, the form a Pythagorean triple.

Step-by-step explanation:

50^2 - 48^2 = x^2

196 = x^2

x=14

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

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ANSWER:

the first one: 30x+48

The second one: x y^2(10 y + 15)

The third one: 30 x y - 5 x^2

Hope this helped!

sorry if im wrong. :)

GOOD LUCK!! <3

Answer:

Commutative property of addition

Step-by-step explanation:

This is called the commutative property of addition which states that a + b = b + a. In this case, a = 3 and b = 7.

Answer:Communitive Property of Addition

Step-by-step explanation:

A+B=B+A 3+7=7+3

The communitive property of addition states that the order of two numbers being added doesn’t matter and that the sum is the same.

Answer:

-3.248

Step-by-step explanation:

hope this helps (*^▽^*)

Answer:

-3.248

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

8.6 lb  x 4 % fat   = 8.6 x .04 = .344 lb fat

Answer:

The first one because it is matching the numbers correctly

Answer:

a

Step-by-step explanation:

175L of water is in the first tank while water is being added at a rate of 7 L per minute

550L is in the second tank while 8L of water is being drained per min

Knowing this we can create the two sides of the equation

175 + 7x = 550 - 8x

BONUS

The question asks when they will have the same amount

rearrange

8x+7x= 550-175

15x=375

x=25

Answer: A = {..., -1, 0, 1, 2, 3, 4, 5}

Step-by-step explanation:

We have that the set A is the set of all the integers equal to or smaller than 5.

To write in the Roster Method, we must list all the elements of this set, but we know that this set extends to minus infinity, then we should start with an ellipsis:

A = {...

Which means that it continues in that direction.

Then we can implicitly write the end of our set, and also some of the points so we can know the relation between the points in the set.

A = {..., -1, 0, 1, 2, 3, 4, 5}

And that is the set A in written with the Roster Method

On solving the provided question, we can say that - the instantaneous rate of change of the function at the given value, by solving the equation  y = 11 - 5x, f'(1) = 3-8 = -5

A mathematical equation is a formula that uses the equals symbol (=) to link two expressions and represent their equivalence. A mathematical statement that demonstrates the equality of two mathematical expressions is an equation in algebra, in its most basic form. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

y = f(x) =

\(x^3 - 4x^2 + 7 \\at x =1\)

f(x) = 3-4+7

= 6

F'(x) = \(3x^2 - 8x\)

f'(1) = 3-8 = -5

equation = y - 6 = -5(x-1)

y = 11 - 5x

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Answer:

Step-by-step explanation:

Its 4.51

Answer:D 1.5 hope it helps :)

Step-by-step explanation:

The total cost of all the items he wants to buy with the applied discount and before tax is $9.9.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Bashir has a loyalty card good for a 10% discount at his local hardware store.

So, Each good he buys at (100 - 10)% = 90% of the value before tax.

He wants to buy some items that cost $11  before the discount and tax.

Therefore the amount he has to pay is,

= (90/100)×11.

= $9.9

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Answer:

(a+b)(c+d)=a c+a d+b c+b d is the formula

Step-by-step explanation:

Answer:

x=29°

Step-by-step explanation:

angle measure of circular arc=180-122=58°

x=1/2×58=29°

Answer:

The surface area of the cube is equal to 216 cm².

General Formulas and Concepts:
Geometry

Surface Area Formula [Cube]:
\(\displaystyle \text{SA} = 6a^2\)

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 6 cm

Step 2: Find Surface Area

∴ we have found the surface area of the cube to be 216 cm².

---

Topic: Geometry

The surface area of a 3D figure is the sum of the area of its faces.

We know the following:

Since all faces in a cube have the same area, the surface area of a cube is:

\(\boxed{(\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})x^{2} = 6(\text{side})^{2}}\)

Therefore, the surface area of a cube must be known as 6(side)².

\({\text{Given side length of cube:} \ |\text{6 centimeters}|\)

Substitute the side length in the surface area formula and simplify:

\(\implies 6(6)^{2}\)

\(\implies 6(6)(6)\)

\(\implies \boxed{216 \ \text{cm}^{2}}\)

Therefore, the surface area of the cube is 216 cm².

\(\overline{===============================================}\)

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Compound Interest

The situation described in the problem allows identifying the variables involved in the loan.

* The amount borrowed is P = $81,000. This is also called the present value PV

* The annual interest rate is 3%. Sometimes it corresponds to the nominal interest rate also called APR or to the effective interest rate.

* The number of payments per year is 12. Payments are done on a monthly base and there are 12 months in a year.

* The loan term is the period of time the loan lasts or the total time you have to repay the loan and the interest. It can be identified as 21 years or 252 months

* The payment amount is the monthly payment done by the entire loan term. In this case, the payment amount is $434.

Answer:

488.25

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You have to work the math

Answer:

B

Step-by-step explanation:

900mm is the current size of the pawn

The original size was 30mm which means we divide 900mm by 30mm

So,

900 ÷ 30 = 30

Which means b is the answer

C can't be the answer because if the original size of the pawn was 30mm and you say it was enlarged by 450mm, it means the current size will have to be 30 × 450 = 13500mm, and this is not the case

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

18

Step-by-step explanation:

since there are 9 liters and three days, you double the amount of days to get 6, so you do the same to the amount of liter she makes. so 18 liters of jam

Answer: 70 m

Step-by-step explanation: 4 inch 4·17.5 m = 70 m

Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

Answer:

A) 100%  B) 60%  C) 60%  D) 225%

Step-by-step explanation:

A) 1/2 x 50/50 = 100%

B) 6/10 x 10/10 = 60%

C) 30/50 x 2/2 = 60%

D) 2 1/4 = 9/4 x 25/25 = 225%

.

A) 1/2 × 100% = 50%

B) 6/10 × 100 % = 60 %

C) 30/50 × 100 % = 60 %

D)

\(2 \frac{1}{4} = \frac{9}{4} \times 100 \\ \\ = > 225\)

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer:

So

Domain: (-∞,∞)

Range: [\(-\frac{105}{8} ,\)∞)

Step-by-step explanation:

Answer:

Domain: (-∞,∞)

Range: [-105/8,∞)

Step-by-step explanation: Hope this helps.