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Lady bird [3.3K]
3 years ago
7

Write the term in simplest form and then simplify the expression

Mathematics
1 answer:
taurus [48]3 years ago
4 0

Answer:   \bold{-19\sqrt{6}+8\sqrt{5}}

<u>Step-by-step explanation:</u>

.\quad 3\sqrt{24}-7\sqrt{54}-\sqrt{96}+4\sqrt{20}\\\\=3\sqrt{\underline{2\cdot 2}\cdot2 \cdot3}-7\sqrt{2\cdot 3\cdot\underline{3\cdot 3}}-\sqrt{\underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot 2\cdot 3}+4\sqrt{\underline{2\cdot 2}\cdot 5}\\\\=2\cdot 3\sqrt{2 \cdot3}-3\cdot 7\sqrt{2\cdot 3}-2\cdot 2\sqrt{2\cdot 3}+2\cdot 4\sqrt{5}\\\\=6\sqrt{6}-21\sqrt{6}-4\sqrt{6}+8\sqrt{5}\\\\=-19\sqrt{6}+8\sqrt{5}

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Question: 1
Sedbober [7]
The answer is 29

29 is the answer because:
Following PEMDAS
5*6=30
3+30=33
33-4=29
3 0
3 years ago
A sprinkler that sprays water in a circular area can be adjusted to spray up to 30 feet. Turning the radius-reduction screw on t
zheka24 [161]

Answer:

Area_lawn = 393.75 π ft^2

Step-by-step explanation:

Maximum radius : 30 feet

Minimum radius:  30 feet - 0.25*(30feet)  =  22.5 feet

(25 percent reduction)

To find the area of lawn that can be watered, we just need to calculate the area for the maximum radius and the minimum radius, and then subtract them.

Since the sprinklers have a circular area:

Area = π*radius^2

Max area  = π*(30 ft)^2 = 900π ft^2

Min area  = π*(22.5 ft)^2 = 506.25π ft^2

Maximum area of lawn that can be watered by the sprinkler:

Area_lawn = Max area - Min area = 900π ft^2 -506.25π ft^2

Area_lawn = 393.75 π ft^2

5 0
3 years ago
Read 2 more answers
What are the roots of x cubed - 7*x squared + 13x-6
Natalka [10]

The roots of x^3 - 7x^2 + 13x - 6 are 0.697, 2 and 4.303

<h3>How to determine the roots?</h3>

The expression is given as:

x^3 - 7x^2 + 13x - 6

Express as a function

f(x) = x^3 - 7x^2 + 13x - 6

Next, we plot the graph of the function f(x) (see attachment)


From the attached graph, we have the zeros to be:

x = 0.697, 2 and 4.303

Hence, the roots of x^3 - 7x^2 + 13x - 6 are 0.697, 2 and 4.303

Read more about roots at:

brainly.com/question/20896994

#SPJ1

5 0
2 years ago
Gustavo is the league's home run leader. The probabilities for his total number of home runs for the season are
Ber [7]

Answer: First (0-19 home runs) Second (40+ home runs) Thrid (20-39 home runs)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A circle in the xy-plane has its center at (-2/3,-3/4)
Cloud [144]

Answer:

(x + 2/3)^2 + (y + 3/4)^2 = 5^2 (or 25).

Step-by-step explanation:

Start with the general equation of a circle with center at (h, k) and radius r:

(x - h)^2 + (y - k)^2 = r^2

Substitute -2/3 for h and -3/4 for k, and also 5 for r:

(x - [-2/3])^2 + (y - [-3/4])^2 = 5^2, or

(x + 2/3)^2 + (y + 3/4)^2 = 5^2 (or 25).

8 0
3 years ago
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