If f(x) is discontinuous, determine the reason.[tex]f(x) = \left \{ {{x^2 + 4; x \leq 1} \atop {x+4; x \ \textgreater \ 1}} \right.[/tex]a. f(x) is continuous for all real numbersb. The limit as x approaches 1 does not exist c. f(1) does not equal the limit as x approaches 1 d. f(1) is not defined

4 because

X=(6-2):2= 4:2= 2 color pencils for Janet and 2 color pencils for Talia= originally 4 pencils

Answer:

x=72 x = 7 2

Step-by-step explanation:

Answer:

x=7/2

Step-by-step explanation:

First, distribute the 9 on the left side  

9(3-2x)=2(10-8x)  

(9*3)+(9*-2x)= 2(10-8x)

27-18x= 2(10-8x)

Next, distribute the 2 on the right side

27-18x=(2*10)+(2*-8x)

27-18x=20-16x

Now, move all the numbers to one side of the equation, and the variables to the other.

27-18x=20-16x

Add 18x to both sides

27-18x+18x=20-16x+18x

27=20+2x

Subtract 20 from both sides

27-20=20-20+2x

7=2x

Now all the variables are on one side, and the numbers are on the other. x is still not by itself. It is being multiplied by 2. To undo this, divide both sides by 2

7/2=2x/2

7/2=x

Answer:

x^6-9 = x^-3 = 1/x^2

Step-by-step explanation:

Hi! I'm happy to help!

To solve this, we need to simplify this expression as much as possible. We see that in the exponent, we have the expression 6-9, which we can substitute for -3.

[tex]x^{6-9}[/tex]

[tex]x^{-3}[/tex]

To further simplify, we need to find out what [tex]x^{-3}[/tex] is. Whenever using a negative exponent, follow this equation.

[tex]x^{-y}[/tex]=[tex]\frac{1}{x^{y} }[/tex]

Using this, we can turn [tex]x^{-3}[/tex], into [tex]\frac{1}{x^{3}}[/tex]. Since we do no know what x is, we cannot simplify any further.

To sum it up, [tex]\frac{1}{x^{3}}[/tex] is an equivalent expression for [tex]x^{6-9}[/tex].

I hope this was helpful, keep learning! :D

Answer:

5.236

Step-by-step explanation:

Take the square root of 5 to get rid of the ^2

You are left with [tex]3 + \sqrt{5} = 5.236[/tex]

The value of x is 0.764 and 5.236

An equation is a mathematical statement that connects two algebraic expression with an equal sign.

The given equation is

(x-3) ² = 5

x² + 9 -6x = 5

x² -6x +4 = 0

The value of x is 0.764 and 5.236.

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4n-5 is 4n-5 if you do not know the variable term for n If tou can figure out what the n term is just multiply that by 4

Answer:9

Step-by-step explanation:

The answer is jus 9 take the answer

Answer:

Option A) 0.588

Step-by-step explanation:

We are given the following in the question:

In triangle ABC

AC = 8 cm

AB = 13.6 cm

We have to find the sine ratio of angle B.

We define sine ratio of angle B as:

[tex]\sin B = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]

Putting values, we get,

[tex]\sin B = \dfrac{AC}{AB} = \dfrac{8}{13.6} = 0.588[/tex]

The attached image shows the triangle.

The correct ansqwer is

Option A) 0.588

Answer:

y = 225x + 28,000 (please give branliest)

Step-by-step explanation:

X = amount of tickets

Answer: x > 5

Step-by-step explanation: To solve for x in this inequality, your goal is the same as it would be if you were solving an equation, to get x by itself on one side.

Since 8 is being subtracted from x, add

8 to both sides of the inequality.

On the left the -8 +8 cancels out

and on the right, -3 + 8 is 5.

So we have x > 5.

Answer:

-23

Step-by-step explanation:

-23 is the answer

The sum of the two integers if they are 5 units apart on the number line, and their product is 126 is -23

System of equations are equations that contain unknown variables with more than 1 equation.

Let the required integers be x and y.

If two negative integers are 5 units apart on the number line, then;

x - y = 5
x = 5  + y

If their product is 126, hence:

x y = 126

Substitute

5+y(y) = 126
5y + y^2 = 126
y^2 + 5y - 126 = 0

Factorize
y^2 + 14y - 9y - 126 = 0
y(y + 14) - 9(y + 14) = 0
y = 9 and  - 14

Since the integers are negative, hence;

x =  5 + y
x = 5 - 14
x = -9

Sum = -14 + (-9)
sum = -23

Hence the sum of the two integers is -23

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Answer: 1.98 ft

Step-by-step explanation: 45(.8)^14

Answer:

t/w

Step-by-step explanation:

you can divide the total of money by the total amount of shares to find the price of each share.

An expression for the price he paid per share is: t / w

The expression for the price Jack paid per share of Xerox stock can be written as the total amount he spent divided by the number of shares purchased. Mathematically, this can be expressed as:

Price per share = Total amount spent / Number of shares purchased

In symbols, this can be represented as:

Price per share = t / w

Thus, we conclude that the price per share is t / w

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Answer:

-10

Step-by-step explanation:

in the equation y=mx+b, b represents your y-intercept

The y-intercept of the line y = 4x - 10 is -10.

The y-intercept of the line y = 4x - 10 can be found by looking at the equation's form, which is in the slope-intercept form y = mx + b. In this form, m represents the slope and b represents the y-intercept. So, the y-intercept of the given line is -10.

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Answer:

[tex] volume = 2197 \pi~in.^3 \approx 6902.1~in.^3 [/tex]

Step-by-step explanation:

[tex] base~ area = 169 \pi~in.^2 [/tex]

The base of the cylinder is a circle.

The area of a circle is:

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

We set the area equal to the formula and find the radius.

[tex] \pi r^2 = 169 \pi~in.^2 [/tex]

[tex]r^2 = 169~in.^2[/tex]

[tex]r = 13~in.[/tex]

The radius of the base is 13 inches. The height of the cylinder is also 13 inches.

[tex] volume = base~area \times height [/tex]

[tex]volume = 169 \pi~in.^2 \times 13~in.[/tex]

[tex] volume = 2197 \pi~in.^3 \approx 6902.1~in.^3 [/tex]

Answer:

The ocean influences weather and climate by storing solar radiation, distributing heat and moisture around the globe, and driving weather systems.

One way that the world’s ocean affects weather and climate is by playing an important role in keeping our planet warm. The majority of radiation from the sun is absorbed by the ocean, particularly in tropical waters around the equator, where the ocean acts like a massive, heat-retaining solar panel. Land areas also absorb some sunlight, and the atmosphere helps to retain heat that would otherwise quickly radiate into space after sunset.

The ocean doesn't just store solar radiation; it also helps to distribute heat around the globe. When water molecules are heated, they exchange freely with the air in a process called evaporation. Ocean water is constantly evaporating, increasing the temperature and humidity of the surrounding air to form rain and storms that are then carried by trade winds. In fact, almost all rain that falls on land starts off in the ocean. The tropics are particularly rainy because heat absorption, and thus ocean evaporation, is highest in this area.

Outside of Earth’s equatorial areas, weather patterns are driven largely by ocean currents. Currents are movements of ocean water in a continuous flow, created largely by surface winds but also partly by temperature and salinity gradients, Earth’s rotation, and tides. Major current systems typically flow clockwise in the northern hemisphere and counterclockwise in the southern hemisphere, in circular patterns that often trace the coastlines.

Ocean currents act much like a conveyor belt, transporting warm water and precipitation from the equator toward the poles and cold water from the poles back to the tropics. Thus, ocean currents regulate global climate, helping to counteract the uneven distribution of solar radiation reaching Earth’s surface. Without currents in the ocean, regional temperatures would be more extreme—super hot at the equator and frigid toward the poles—and much less of Earth’s land would be habitable.

HOPE THIS HELPS!!! Brainliest PLEASE :)

Saffron

The ocean impacts Earth's four major systems in several ways. Here are some examples:

Geosphere: The ocean is closely connected to the geosphere, as it plays a significant role in shaping the Earth's surface. Waves and currents erode coastlines and move sediment around, while underwater volcanic activity can create new landmasses and alter ocean chemistry.

Atmosphere: The ocean is an important component of the Earth's climate system, with ocean currents and temperatures influencing weather patterns and regulating the Earth's temperature. The ocean also absorbs carbon dioxide from the atmosphere, which helps to mitigate the effects of climate change.

Biosphere: The ocean supports a vast array of life, from microscopic plankton to massive whales. Marine ecosystems are interconnected with terrestrial ecosystems, with many species relying on the ocean for food and habitat.

Hydrosphere: The ocean is the largest component of the Earth's hydrosphere, and plays a critical role in the water cycle. Ocean currents and evaporation drive the movement of water around the planet, while the ocean stores vast amounts of water that can be released into the atmosphere through evaporation.

As for how the ocean keeps west coast cities cool during the summer, this is due to a phenomenon called coastal upwelling. As warm air rises over the land, it creates a low-pressure zone that draws in cool, moist air from the ocean.

This cool air can then be pushed inland by the sea breeze, providing relief from the summer heat. Additionally, the cold water that is brought to the surface during upwelling helps to cool the air near the coast.

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Answer:

n=2

2(n+8)=20

2n+16=20

     -16  -16

2n=4

/2   /2

n= 2

Hope this helps :)

The required value of n is 2.

We have to determine, two times the sum of a number and 8 is twenty. What is the number.

To obtain the number calculation must be done in a single unit;

Here,

Let the number be n,

And sum of number n and 8 is (n+8).

Therefore,

Two times sum of the number = 20

[tex]2 (n+8) = 20 \\\\2n + 2 \times8 = 20\\\\2n + 16 = 20\\\\2n = 20-16\\\\2n = 4 \\\\n = \dfrac{4}{2}\\\\n = 2[/tex]

Hence, The required value of n is 2.

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Final answer:

To calculate the total cost of two pairs of shoes priced at $19.99 each with a buy one get one 20% off deal, first find the discount amount for the second pair, then add this discounted price to the full price of the first pair, resulting in a total of $35.98.

Explanation:

The question asks how much you will pay in total if you buy two pairs of shoes priced at $19.99 each, with a sale of buy one get one 20% off.

First, calculate the discount on the second pair. 20% of $19.99 is $3.998, which rounds to $4.00 when applying standard mathematical rounding.

Therefore, the second pair of shoes would cost $19.99 - $4.00 = $15.99. Now, add the price of the first pair of shoes to the discounted price of the second pair to get the total: $19.99 + $15.99 = $35.98.

Answer:

B

Step-by-step explanation:

Only B is correct bc if u count the amount of blocks (people) that r above 63 inches that would only be the red and purple ones.

The blue blocks r 63 in and below, so u dont count them

4 red blocks + 3 purple= 7 players

To find the length of Y in a right triangle given X = 6 cm and Z = 10 cm, we can use the Pythagorean theorem. By substituting the values into the formula Y = √(X² + Z²), we find that the length of Y is approximately 11.66 cm.

To find the length of Y, we can use the Pythagorean theorem. Since X and Z are the lengths of the legs of a right triangle, Y represents the length of the hypotenuse.

Using the formula: Y = √(X² + Z²), we can substitute the given values: Y = √(6² + 10²) = √(36 + 100) = √136 = 11.66 cm.

Therefore, the length of Y is approximately 11.66 cm.

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We have been given that a person invests 5500 dollars in a bank. The bank pays 6.75% interest compound monthly. We are asked to find the time that will take the amount to 13,200 dollars.

We will use compound interest formula to solve our given problem.  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

[tex]6.75\%=\frac{6.75}{100}=0.0675[/tex]

Upon substituting our given values in above formula, we will get:

[tex]13200=5500(1+\frac{0.0675}{12})^{12\cdot t}[/tex]

[tex]13200=5500(1+0.005625)^{12\cdot t}[/tex]

[tex]13200=5500(1.005625)^{12\cdot t}[/tex]

[tex]\frac{13200}{5500}=(1.005625)^{12\cdot t}[/tex]

[tex]2.4=(1.005625)^{12\cdot t}[/tex]

Now we will take natural log on both sides.

[tex]\text{ln}(2.4)=\text{ln}((1.005625)^{12\cdot t})[/tex]

Using natural log property [tex]\text{ln}(a^b)=b\cdot \text{ln}(a)[/tex], we will get:

[tex]\text{ln}(2.4)=12t\cdot \text{ln}(1.005625)[/tex]

[tex]t=\frac{\text{ln}(2.4)}{12\cdot \text{ln}(1.005625)}[/tex]

[tex]t=13.00635[/tex]

Upon rounding to nearest tenth, we will get:

[tex]t\approx 13.0[/tex]

Therefore, it will take approximately 13.0 years for the amount to reach $13200.

The question asks for the sample size that gives a margin of error of ±4.0. Without information on the z-score or standard deviation, it's not possible to accurately answer this question based on these values which are crucial for correctly calculating the sample size.

The question is asking for the sample size that would produce a margin of error of ±4.0. The margin of error (E) is calculated using the formula E=Z *(σ/√n), where Z is the z-score, σ is the population standard deviation, and n is the sample size. Without information about the z-score or standard deviation, it isn't possible to sufficiently answer this question based just on these choices. These values are vital for a proper calculation of the sample size.

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Answer:

Factoring completely would give you the answer of ( x+5) (x^3 +4).

Step-by-step explanation:

The factor are (x³ + 4) and (x + 5).

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

[tex]x^4[/tex] + 5x³ + 4x + 20

We can find the common factor between [tex]x^4[/tex] and 5x³.

So,

x³ (x + 5) _____(1)

And,

We can find the common factor between 4x and 20.

So,

4 (x + 5) ______(2)

From (1) and (2),

x³ (x + 5) + 4 (x + 5)

= (x³ + 4) (x + 5)

Thus,

The factor are (x³ + 4) and (x + 5).

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Answer: 1/8 inch

Step-by-step explanation: just got it

Answer:

1/8 inches

Step-by-step explanation:

Answer:

7 cups of soda

Step-by-step explanation:

If we call the number of cups you buy by "x", we have that the price for the refillable cup P1 is:

P1 = 6 + 0.79*x

And the price for the other option is:

P2 = 1.69*x

To find how many sodas do you need to buy to make it work buying the refillable cup, you just need to equate the two prices and find the value of x:

P1 = P2

6 + 0.79*x = 1.69*x

0.9*x = 6

x = 6/0.9 = 6.6667 cups

So, you need to buy at least 7 cups of soda to make the refillable cup worth it.

Answer:

c

100 cm squared = base; 10 cm = height

Step-by-step explanation:

1/3 of 100 is 33.33 repeating so that times ten is 333.1/3 yards.

hope this helps!

Answer:

105°

Step-by-step explanation:

I did the test

Answer:

the answer is 105

Step-by-step explanation:

hope it helps you out a lot :)

Answer:

a

Step-by-step explanation:

im not sure how to explain but hope this helps