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Yakvenalex [24]
3 years ago
15

A juice container is a square prism with base edge length 4 inches. When an 8-inch straw is inserted into the container as shown

, exactly 1 inch remains outside the container. The length of AB is ___ inches, to the nearest inch.

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0
The answer is 7 inches
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Do the following points represent a function? (0,2) (1,4) (0,4) (3,9) (5,8)​
photoshop1234 [79]
<h3>Answer: No, this isn't a function.</h3>

Why not? Focus on the two points (0,2) and (0,4)

We have the x value x = 0 show up twice. Any time x repeats itself like this, it leads to "not a function" as the result.

In other words, the input x = 0 leads to multiple outputs y = 2 and y = 4 at the same time. A function is only possible if every x input leads to exactly one y output.

If you are a visual learner, then plot all of the points on the same xy grid. Then notice how (0,2) and (0,4) fail the vertical line test to show we don't have a function.

Side note: The y values can repeat themselves in a function.

8 0
2 years ago
The sum of 4 consecutive intergers is 50, what is the first interger in this relationship
Vesnalui [34]

Answer:

x = 11

Step-by-step explanation:

Consecutive means in a row

Let x be the first integer

x+1 is the second

x+2 is the third

x+3 is the 4th

The sum is 50

x+ x+1 + x+2 + x+3 = 50

Combine like terms

4x+6 = 50

Subtract 6 from each side

4x+6-6 = 50-6

4x = 44

Divide each side by 4

4x/4 = 44/4

x = 11

7 0
3 years ago
Y = 5+5(x-8)<br> Can someone please solve this?
vekshin1

y = 5+5(x-8)

y = 5 + 5x - 40

y = 5x - 35

7 0
3 years ago
What is the following sum 3b^2
densk [106]

The given expression is 3b^2*(\sqrt[3]{54a}) + 3*(\sqrt[3]{2ab^6})

This can be simplified as :

= 3*b^2*(\sqrt[3]{27 *2*a}) + 3*(\sqrt[3]{2*a*b^6})

We know that: \sqrt[3]{27}  = 3

Similarly we also can simplify: \sqrt[3]{b^6}  = b^2

So our expression will look like this:

= 3*3*b^2*(\sqrt[3]{2a}) + 3*b^2*(\sqrt[3]{2a})

= 9b^2*(\sqrt[3]{2a}) + 3b^2*(\sqrt[3]{2a})

=\sqrt[3]{2a}*(9b^2 + 3b^2)

=\sqrt[3]{2a}*(12b^2)

This can also be written as:

12b^2(\sqrt[3]{2a})

So the Answer is Option B


6 0
2 years ago
Read 2 more answers
Find the x-intercept and y-intercept of 5x 8y=80
maksim [4K]
X= -8/5y+16
y= -5/8x+10

you didnt say if the equation was "5x+8y=80" not sure if your adding or subtracting or adding but if your adding then this is correct :)
4 0
3 years ago
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