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Flauer [41]
4 years ago
5

17 - 3 x (-2²) - (-6²) x (-1⁷) = me ajudem por favor

Mathematics
1 answer:
scZoUnD [109]4 years ago
7 0
Hola! Aquí mi respuesta;

17-3 x (-2^2)-(-6^2) x (-1^7)

17+3x4+6^2x(-1)

17+12-6^2

17+12-36

-7

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A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of t
Alexxandr [17]

Answer: A. 0.20

Step-by-step explanation:

Let A be the event of employees needed corrective shoes and B be the event that they needed major dental work .

We are given that : P(A)=0.08\ ;\ P(B)=0.15\ ;\ P(A\cap B)=0.03

We know that P(A\cup B)=P(A)+P(B)-P(A\cap B)

Then,   P(A\cup B)=0.08+0.15-0.03= 0.20

Hence, the probability that an employee selected at random will need either corrective shoes or major dental work : P(A\cup B)= 0.20

hence, the correct option is (A).

6 0
4 years ago
Solve x+6(x-1)=7(3+x)
Lina20 [59]

Let's solve your equation step-by-step.

x+6(x−1)=7(3+x)

Step 1: Simplify both sides of the equation.

x+6(x−1)=7(3+x)

x+(6)(x)+(6)(−1)=(7)(3)+(7)(x)(Distribute)

x+6x+−6=21+7x

(x+6x)+(−6)=7x+21(Combine Like Terms)

7x+−6=7x+21

7x−6=7x+21

Step 2: Subtract 7x from both sides.

7x−6−7x=7x+21−7x

−6=21

Step 3: Add 6 to both sides.

−6+6=21+6

0=27

5 0
3 years ago
If 5x=y+75x=y+7, is (x−y)>0(x−y)>0? (1) xy=6xy=6 (2) xx and yy are consecutive integers with the same sign
crimeas [40]

Answer:

No. If 5x=y+7 then xy=6 and (2) x and y are consecutive integers with the same sign. for xy=6

Step-by-step explanation:

<u>For the sake of clarity:</u>

If 5x=y+7 then (x – y) > 0?

Alternatives:

(1) xy = 6  

(2) x and y are consecutive integers with the same sign

1) Consider (x-y)>0 as true:

xy=6 Numbers like, 3*2, 6*1, etc..

5x=y+7\Rightarrow \frac{5x}{5}=\frac{y+7}{5}\Rightarrow x=\frac{y+7}{5}\\Plugging\: in:\:\\\frac{y+7}{5}-y>0\Rightarrow \frac{y+7-5y}{5}>0\Rightarrow \frac{-4y+7}{5}>0\Rightarrow \frac{-4y+7}{5}*5>0*5\\-4y+7>0 *(-1)\Rightarrow 4y-7\frac{7}{4}\therefore y

Since y in this hypothetical case is lesser then let's find x, let's plug in y 1 for a value lesser than 1.75:

Then xy≠6 and no and 8/5 (1.75) is a rational number. What makes false the second statement about consecutive integers.

So this is a Contradiction. (x-y) >0 is not true for 5x=x+7.

2) Consider:

x and y are consecutive integers with the same sign is true.

Algebraically speaking, two consecutive integers with the same sign can be  written as:

y=x+1

Plugging in the first equation (5x=y+7):

5x=x+1+7⇒4x=8 ⇒x =2

Since y=3 then x=2 because:

3=x+1\\3-1=x+1-1\\2=x \Rightarrow x=2

3) Testing it

5x=y+7\\\\5(2)=(3)+7\\\\10=10\:True

xy=6\\2*3=6\\6=6

5 0
3 years ago
Please help me with this
Cerrena [4.2K]

Answer:

Yes;Each side of triangle PQR is the same length as the corresponding side of triangle STU

Step-by-step explanation:

You can observe  the sides of both triangles to see if this property holds

Lets check the length of AB

A(0,3)   and B(0,-1)

AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\\\\\AB=\sqrt{(0-0)^2+(-1-3)^2} \\\\\\\\AB=\sqrt{0^2+-4^2} \\\\\\AB=\sqrt{16} =4units

Now check the length of the corresponding side DE

D(1,2)  and E(1,-2)

DE=\sqrt{(1-1)^2+(-2-2)^2} \\\\\\DE=\sqrt{0^2+-4^2} \\\\\\DE=\sqrt{16} =4units

The side AB has the same length as side DE.This is also true for the remaining corresponding sides.

6 0
4 years ago
I neeeeeeeeeeeed this
Tresset [83]

Answer:

The answer is \frac{15}{9}or 1.666...

Step-by-step explanation:

Reorganize the problem

\frac{5}{9} ÷ \frac{1}{3} =

Reciprocal the Multiplier

\frac{5}{9} ÷ \frac{1}{3} = \frac{5}{9} x \frac{3}{1} = \frac{15}{9} or \frac{5}{3} or 1 \frac{2}{3}

Hope this helps!

8 0
2 years ago
Read 2 more answers
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