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leva [86]
3 years ago
14

A number q tripled plus z doubled

Mathematics
1 answer:
juin [17]3 years ago
4 0
Given problem is a number q tripled plus z doubled. Which becomes in mathematical expression as, <span><span>
1.  </span><span> 3q + 2z</span></span>
Where the number which is represented by q is tripled which is why the number is multiplied by 3 and the same happens with z as doubled or twice the number represented by z.



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Simplify completely.<br><br> (w15/w5)4<br><br> Enter your answer in the box.
Vlad [161]

Answer:w40

Step-by-step explanation:

w15/w5 = w10

(w10)^4 = w40

3 0
3 years ago
Can someone explain this??
alexandr402 [8]

Answer:

Step-by-step explanation:

a+(n-1)*d=t_{n}\\\\a+(70-1)*(-43)=t_{70}\\\\a+69*(-43)=500\\\\a-2967=500\\\\a=500+2967\\\\a=3467

4 0
3 years ago
What is the range of the function below in set builder notation? y=|x-3|
Kisachek [45]

Answer:  \{y | \ y \in \mathbb{R}, \ y \ge 0\}

This translates to "y is any real number such that it is 0 or larger".

The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.

So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.

In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.

4 0
3 years ago
Find the measure of the the sides of DEF then classify it by it sides. <br> D(8,-6) E(-1,-3) F(-2,5)
Mama L [17]

Answer:

Part a) The measure of the sides of triangle DEF are

d_D_E=\sqrt{90}\ units

d_E_F=\sqrt{65}\ units

d_D_F=\sqrt{221}\ units

Part b) Is a scalene triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have the coordinates

D(8,-6) E(-1,-3) F(-2,5)

step 1

Find the length side DE

D(8,-6) E(-1,-3)

substitute in the formula

d=\sqrt{(-3+6)^{2}+(-1-8)^{2}}

d=\sqrt{(3)^{2}+(9)^{2}}

d_D_E=\sqrt{90}\ units

step 2

Find the length side EF

E(-1,-3) F(-2,5)

substitute in the formula

d=\sqrt{(5+3)^{2}+(-2+1)^{2}}

d=\sqrt{(8)^{2}+(-1)^{2}}

d_E_F=\sqrt{65}\ units

step 3

Find the length side DF

D(8,-6) F(-2,5)

substitute in the formula

d=\sqrt{(5+6)^{2}+(-2-8)^{2}}

d=\sqrt{(11)^{2}+(-10)^{2}}

d_D_F=\sqrt{221}\ units

step 4

Classify the triangle by the measure of its sides

we have

d_D_E=\sqrt{90}\ units

d_E_F=\sqrt{65}\ units

d_D_F=\sqrt{221}\ units

so

Is a scalene triangle, because is a triangle in which all three sides have different lengths.

6 0
3 years ago
How many 1/4 inch lengths of rod can be cut from 3 1/2 inch rod
stepan [7]

Answer:

14

Step-by-step explanation:

Shown in picture above.

5 0
3 years ago
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