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andrew-mc [135]
3 years ago
13

Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0

Answer:

  the limit does not exist

Step-by-step explanation:

As x approaches π/2 from below, tan(x) approaches +∞. A x approaches π/2 from above, tan(x) approaches -∞. These two limits are not the same, so the limit is said not to exist.

___

For a limit to exist, it must be the same regardless of the direction of approach.

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One line passes through the points (-7,5)
Studentka2010 [4]

Answer:

1. (-7, 5 ) and (-1, 3)

(3-5)/(-1+7)= -2/6 = -1/3

y - 5 = (-1/3)(x + 7)

y - 5 = (-1/3)x - 7/3

y - 15/3= (-1/3)x - 7/3

y = (-1/3)x + 8/3

2. (-1-3)/(3-0)= -4/3

y + 3 = (-4/3)(x + 1)

y + 3 = (-4/3)x - 4/3

y + 9/3 = (-4/3)x - 4/3

y = (-4/3)x + 5/3

the answer is neither

7 0
3 years ago
On a number line, what is x-4<-3?
goblinko [34]

Add 4 to both sides

x - 4 < -3

x-4+4 < -3+4

x < 1

To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.

The graph is shown below.

3 0
3 years ago
How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?
djverab [1.8K]

Answer:

L = 25.959 inches

Step-by-step explanation:

Volume of first cube = 375 inch³

Volume of second cube = 648 inch³

Volume of third cube = 1029 inch³

We need to find the length of the stack of the cube shaped block.

We know that,

The volume of a cube = a³ (a is side of a cube)

a_1=\sqrt[3]{375} \\\\=7.211\ \text{inches}

a_2=\sqrt[3]{648 } \\\\=8.653\ \text{inches}

a_3=\sqrt[3]{1029}  \\\\=10.095\ \text{inches}

Hence, the total length of the stack is :

L = 7.211 + 8.653 + 10.095

= 25.959 inches

Hence, this is the required solution.

5 0
3 years ago
When c=-7, evaluate 4(9/4+5/7c)
goblinko [34]

Hey there!

4(9/4 + 5/7c)

= 4(9/4 + 5/7(-7))

= 4(9/4) + 20/7(-7)

= 4(9/4) - 20

= 9 - 20

= -11

Therefore, your answer is: -11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

7 0
2 years ago
the junior class has 50 students. twenty-five students take french, 15 take latin, and 10 take both. if a student is chosen at r
ivann1987 [24]
P(F) = 0.5
P(L) = 0.3
P(F\cap L)=0.2
P(F\cap L')=0.5-0.2=0.3
P(F'\cap L)=0.3-0.2=0.1
P(F'\cap L')=1-0.3-0.2-0.1=0.4




3 0
3 years ago
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