Is 13 a solution to the compound inequality d>5 and x<10

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

Answer:

Option D

Step-by-step explanation:

Increasing intervals represent  the inputs that make the graph  rise, or the intervals where the  function has a positive slope.  Decreasing intervals represent the inputs that make the graph  fall, or the intervals where the  function has a negative slope.

The inputs ( − values) that make () rise are

(-2,∞)

Answer:

can u add a picture cause i dont understand what ur saying at all

Step-by-step explanation:

1. The correct exponential function for each graph is

a.  f(x) = 2ˣ is graph (III)     b. f(x) = 2⁻ˣ is graph (I)   c. f(x)= -2ˣ graph (II)  D. f(x) = -2⁻ˣ is graph (IV)

2. The evaluated exponential functions are;

a. f(1) = 1  b. f(-1) = 0.1  c. f(0) = 0.3

3. The exponential function for the graph  is f(x) = \(\frac{1}{2}^x\)

4. The model for the rate population is N(t) = 320 × \(2^{t}\) . After 8 years, the population will be 81,920.

5. The compounded interest after 2 years: 2628.17. After 3 years 2694.7. After 6 years 2904.57

6. The compounded interest after a) 3 years = 4221.81  b) 6 years = 5092.47  c) 9 years = 6142.69

7. At time t = 0, the mass is 13 kg. After 45 days, the mass is approximately 6.62 kg

1. For the exponential function,  

a. f(x) = 2ˣ has a coordinate (0,1).  f(1) = 2⁰ = 1 It matches (III)

b.  f(x) = 2⁻ˣ When x = -1, f(x) = 2,  x = 0, f(x) = 1, x = 1, f(x) = 0.5; x = 2, f(x) = 0.25. If you plot this coordinates, you will see the graph falls from left to right

c. f(x)= -2ˣ it should pass through  (0, -1),  x = -1, when f(x) = -0, x = 0, f(x) = -1, x = 1, f(x) = -2

d. f(x) = -2⁻ˣ will pass through the point (0, -1). When x = -1, f(x) = -2; x = 0, f(x) = -1; x = 1, f(x) = -0.5. The graph should rise from left to right.

2. If the exponential function is f(x) = 3ˣ⁻¹ then we evaluate

f(1) = 3¹⁻¹ = 3⁰ = 1

f(-1) = 3⁻¹⁻¹ = 3⁻² = 1/3² or 0.1

f(0) = 3⁰⁻¹ = 3⁻¹ = 1/3 or 0.3

3. For the graph whos exponential function should be in the form f(x) = aˣ, we can find the actual function by looking at the coordinated (-3, 8)

a⁻³ = 8

a = \(8^1/-3\)

a = 1/2

f(x) = (1/2)ˣ

4. The mouse population can be modeled as

N(t) = N₀ × (1 + \(r)^{t}\) ⇒ N(t) = 320 × \(2^{t}\)

After 8 years ⇒ N(8) = 320 × 2⁸

N(8) = 320 × 256

N(8) = 81920

5. We use the formula A = P(1 + \(r/n)^{nt}\)

$2500 invested at an annual interest rate of 2.5% compounded daily,

After 2 years (t = 2):                          After 3 years

A = 2500(1 + 0.025/365)⁽³⁶⁵ˣ²⁾         A = A = 2500(1 + 0.025/365)⁽³⁶⁵ˣ³⁾

A = 2628.17                                       A = 2694.7

After 6 years

A = 2500(1 + 0.025/365)⁽³⁶⁵ˣ⁶⁾

A = 2904.57

6. For a  continuous compounded interest, we use the formula;

A = P × \(e^{rt}\)

the principal is $3500, the interest rate is 6.25%, or 0.0625 as a decimal.

a) After 3 years:                 After 6 years:             After 9 years

A = 3500 × \(e^{0.0625 * 3}\)          A = 3500 × \(e^{0.0625 * 6}\)     A = 3500× \(e^{0.0625 * 9}\)

A = 4221.81                       A = 5092.47                A = 6142.69

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Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

In a geometric sequence,

The third term is 100 and the eighth term is 3.125.

Now,

We know that;

The nth term of geometric sequence is,

⇒ \(T_{n} = a r^{n - 1}\)

Hence, The third term is;

⇒ \(T_{3} = a r^{3 - 1} = 100\)

⇒ \(a r^{2} = 100\)   ..(i)

And, The eighth term is,

⇒ \(T_{8} = a r^{8 - 1} = 3.125\)

⇒ \(a r^{7} = 3.125\)   ..(ii)

Divide equation (ii) by (i), we get;

⇒ ar⁷ / ar² = 3.125/100

⇒ r⁷ / r² = 3125 / 100000

⇒ r⁷⁻² = 3125 / 100000

⇒ r⁵ = 3125 / 100000

⇒ r = 5/10

Thus, The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

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The difference between 126 1/4 and 78 7/12 is 143/3 or 47 2/3.

To find the difference between the numbers simplify means;

to subtract 78 7/12 from 126 1/4 .

126 1/4 - 78 7/12

First, convert the mixed fractions into improper fractions.

( 126 × 4 + 1 )/4 - ( 78 × 12 + 7) /12

505/4 - 943/12

Multiply first term by 3/3 which is the same as 1.

( 505/4 × 3/3 ) - 943/12

1515/12 - 943/12

( 1515 - 943) / 12

572 / 12

143/3 or 47 2/3.

Therefore, the difference is 143/3 or 47 2/3.

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The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Domain of f is ( -4 ,1 ) and Range of f is (4 , -5)

The domain refers to the set of possible input values.

The domain of a graph consists of all the input values shown on the x-axis.

The range is the set of possible output values, which are shown on the y-axis.

According to the graph ,

The horizontal extent of the graph is starting from -4 and ending on 1

Therefore , the domain of graph is (-4 , 1)

These points are not included in the domain , you can observe the end points of curves is not filled

The vertical extent of graph is starting from 4 and going downwards till -5

so, Range of graph is (4 , -5)

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Answer:

about 414.69

Step-by-step explanation:

Use the equation πr^2(h /3)

r = radius

h = height

Answer:

\(\frac{7}{10}\)

Step-by-step explanation:

100\(m^{2}\) -5 = 44  Add 5 to both sides

100\(m^{2}\) = 49  Divide both sides by 100

\(m^{2}\) = \(\frac{49}{100}\)

\(\sqrt{m^{2} }\) = \(\frac{\sqrt{49} }{\sqrt{100} }\)

m = \(\frac{7}{10}\)

Answer:

one and thirty thousand seven hundred sixty-nine hundred-thousandths

Step-by-step explanation:

Answer:

one and thirty hundredths

Step-by-step explanation:

One would be 1, the and would stand for the decimal points, and thirty hundredths means the .30.

Answer:

3360 4200

Step-by-step explanation:

The volume of the rectangular prism is 4.84 cm cube.

A rectangular prism is filled exactly with 605 cubes. Each cube has edge

length 1 / 5 cm. Therefore, the volume of the rectangular prism can be

calculated as follows:

volume of each cube = l³

volume of each cube = (1 / 5)³

volume of each cube = 1 / 125 cm³

Therefore,

volume of the rectangular prism = 605 × 1 / 125

volume of the rectangular prism = 605 / 125

volume of the rectangular prism = 4.84 cm³

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Answer:

B

Step-by-step explanation:

\(x^{2} +7x+49\) is a prime equation.

identify the rate, base and portion. 82% of 13 is what number.

what is 82 % of 13.

P=B*R

p=13(0.82)

p=10.66

PORTION = 10.66

RATE=82%

BASE=13.

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

Answer is 1.5g/m^3 Hope it will help you.

Answer:

Tanisha = 14 years

Ana = 7 years

Elicia = 16 years

Step-by-step explanation:

Let T = age of Tanisha

Let A = age of Ana

Let E = age of Elicia

Tanisha is twice as old as Ana:  

T = 2A

⇒ A = (1/2)T

Elicia is 2 years older than Tanisha:

E = 2 + T

Sum of all their ages is 37:

A + E + T = 37

Substitute A = (1/2)T and E = 2 + T into A + E + T = 37 and solve for T:

⇒ (1/2)T + 2 + T + T = 37

⇒ (5/2)T = 35

⇒ T = 14

If T = 14, then

A = (1/2)T = (1/2) 14 = 7

If T = 14, then

E = 2 + T = 2 + 14 = 16

Answer:

21

Step-by-step explanation:

84/3=28

28/4=7

7x3=21

Given:

Required:

We need to find the equivalent expression of the given.

Explanation:

Distribute the minus sign.

Add like terms.

Final answer:

Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004