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kvv77 [185]
3 years ago
14

Find the highest common factor of 14(3x+1)^ and 7(3x+1)​

Mathematics
1 answer:
ddd [48]3 years ago
5 0

Answer:

The highest common factor is 7(3x+1)

Step-by-step explanation:

Here, we want to find the highest common factor of both expressions

As we can see, the highest common factor of 7 and 14 is 7

Now, we have the second expression which is (3x+1)

No matter what the first expression is raised to, it still stands that the highest common factor we shall have there is 3x+ 1 as concerns the term

inside the bracket

Thus, the highest common factor of both terms is 7(3x + 2)

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Rodney has 83 goldfish in his pond. In the winter, he wants to put the goldfish into one or more smaller fish tanks inside his h
Leviafan [203]

Answer:

0

Step-by-step explanation:

no number of tanks will hold the same amount of fish. 83 is a prime number, no numbers can be equally divided into it

8 0
3 years ago
A radio transmission tower is 190 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is t
gladu [14]

Answer:

343.7 ft

Step-by-step explanation:

The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.

The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...

Sin(angle) = Opposite/Hypotenuse

Filling in the given information, you have ...

sin(31°) = (177 ft)/hypotenuse

Solving for hypotenuse gives

hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft

The length of the guy wire should be 343.7 ft.

5 0
3 years ago
What is equivalent to 3squareroot of 8^x
inn [45]

Answer:

3 * 8^(x/2)

Step-by-step explanation:

The third answer choice is the correct one.

Here's how:

3squareroot of 8^x = 3√(8^x)  = 3*(8^x)^(1/2)  =  3 * 8^(x/2)

8 0
3 years ago
A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 22 inches and a height of 66 inches
icang [17]

Answer:

The height of the new cones will be 16.5 inches.

Step-by-step explanation:

We know that,

The volume of a cone is,

V=\frac{1}{3}\pi r^2 h

Where, r is the radius of the cone,

h is the height of the cone,

In the original cone,

r = 22 inches,

h = 66 inches,

Thus, the volume would be,

V_1=\frac{1}{3}\pi (22)^2(66)

Also, for the new cone,

r = 44 inches,

Let H be the height,

So, the volume of the new cone would be,

V_2=\frac{1}{3}\pi (44)^2(H)

According to the question,

V_2=V_1

\implies \frac{1}{3}\pi (44)^2(H)=\frac{1}{3}\pi (22)^2(66)

\implies H=\frac{22^2(66)}{44^2}=(\frac{22}{44})^2\times 66 = \frac{66}{4}=16.5

Hence, the height of the new cones will be 16.5 inches.

7 0
3 years ago
57.99 The 9 in the hundredths place is _______ the value of the 9 in the tenths place.
Karolina [17]

Answer:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.

Step-by-step explanation:

Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.

8 0
3 years ago
Read 2 more answers
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