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anzhelika [568]
3 years ago
11

Let p: The integer has one digit.

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0

Answer:

p ↔ q

Step-by-step explanation:

Given :

Let p: The integer has one digit.

Let q: The integer is less than 10.

To Find:Which represents "The integer has one digit if and only if the integer is less than 10”?

Solution:

1. p ∧ q denotes “p and q”

2.p ∨ q denotes “p or q" (or both)

3.p → q denotes “if p then q”

4. Biconditional p ↔ q denotes “p if and only if q"

Thus Biconditional p ↔ q represents "The integer has one digit if and only if the integer is less than 10”

Hence Option D is correct p ↔ q

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Determine the rate of change for 3/2x -5/4y = 15
Aleksandr-060686 [28]

Answer:

-6/5

Step-by-step explanation:

3/2x - 5/4y = 15

-5/4y = -3/2x + 15

multiply each side by (-4/5)

(-4/5)(-5/4y) = (-4/5)(-3/2x + 15)

y = -6/5x - 12

rate of change: -6/5

6 0
3 years ago
−7 − 3a = 17, then \frac{3}{4}a = ____?
Ilia_Sergeevich [38]

Answer:

-9/2

Step-by-step explanation:

-7-3a=17

-1-17=3a

-18=3a

a=-18/3

a=-6

The value of fac{3}{4} a = (3/4)(-6)

                                      = -18/4

                                      = -9/2

3 0
2 years ago
Please solve with working much appreciated
mojhsa [17]

Answer:

x°= 55°

Step-by-step explanation:

First, find the degrees of the larger triangle.

Since every triangle equals 180° degrees, make an equation.

60°+90°+a°= 180°

Now, add the degrees together.

120°+a°= 180°

Then subtract from both sides.

120°+a°= 180°

-120 °      -120°

a°= 60°

Now that you know the sum of all the angles, subtract 25° from 60°(which is the measure of a).

60°-25°= 35°

Now that we have the measurement of the angle from the smaller triangle inside the larger one, make an equation.

35°+90°+x°= 180°

Then, add the degrees.

125°+x°= 180°

Subtract from both sides of the equation to get the answer for the variable.

125°+x°= 180°

-125°       -125°

x°= 55°

6 0
3 years ago
Jesse takes his dog and cat fort their annual vet visit.Jesse's dog weighs 23 pounds.The vet tells him his cats's weight is 5/8
Kay [80]

The cat weighs 14.375 pounds (or 230 ounces even).

Hope this helps!

8 0
3 years ago
Read 2 more answers
What is the area of triangle HGF? Round your answer to the nearest tenth of a square centimeter. Recall that you need to round u
denpristay [2]

Answer:

9.8

Step-by-step explanation:

The formula for the area of a triangle is a=bh/2, where a is area, b, is the base, and h is the height. If we substitute the values in the question in the equation, we get:

a=(6.5*3)/2

a=19.5/2

a=9.75

a≈9.8

7 0
2 years ago
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