Simplify the sym or difference 4√2 - 7√2

[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]

Step-by-step explanation:

or , x + 97° + 42° = 180° ( the sum of interior

angle of triangle is 180° )

or , x + 139° = 180°

or , x = 180° - 139°

x = 41°

67 miles

On Monday, Jullo ran 39 miles.

On Tuesday, he ran 24 miles.

On Wednesday, he ran 4 miles.

Finding the total miles:

Total miles ran on Monday, Tuesday, and Wednesday = 39 + 24 + 4

                                                                                            = 67 miles

Answer: 150 kilometers

Step-by-step explanation:

if it's 30 units of 5 kilometers then you multiply it

5x30=150

Answer:

I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!

well, we can take a peek at this from the standpoint of moving from the right towards 0, but never getting there.

[tex]e^{-\frac{5}{x}}\implies \cfrac{1}{e^{\frac{5}{x}}}\qquad \qquad \stackrel{x = 1}{\cfrac{1}{e^{\frac{5}{1}}}}\implies \cfrac{1}{e^5}\qquad \qquad \stackrel{x=0.000001}{\cfrac{1}{e^{\frac{5}{0.000001}}}}\implies \cfrac{1}{e^{500000}}[/tex]

as "x" is moving towards 0, the denominator is becoming larger and ever larger, whilst the numerator is remaining the same, thus the fraction is become ever smaller, going towards = 0.

Answer:

81/10

Step-by-step explanation:

Answer:

(y^2 + 6)(y^2 - 6)

Step-by-step explanation:

First, substite variable x for y^2:

FOR x = y^2:

y^4 - 36

= (y^2)(y^2) - 36

= (x)(x) - 36

= x^2 - 36

Now, use the formula a^2 - b^2 = (a + b)(a - b):

x^2 - 36

= x^2 - 6^2

= (x + 6)(x - 6)

Finally, since the expression is factored for x, not y, substite y^2 in for x:

(x + 6)(x - 6)

= (y^2 + 6)(y^2 - 6)

[tex]= (y^2 + 6)(y^2 - 6)[/tex]

Answer:

Refer to below!

Step-by-step explanation (a):

[tex]\rightarrow \dfrac{10^{3} \times 10^{4} }{10^{5} } \\\\\\ \rightarrow \dfrac{10^{3 + 4} }{10^{5} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[[\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ] \\\\\\ \rightarrow \dfrac{10^{7} }{10^{5} } \\\\\\[/tex]

[tex]\rightarrow 10^{7 - 5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}] \\\\\rightarrow 10^{2}[/tex]

Step-by-step explanation (b):

[tex]\rightarrow \huge{\text{(}{10^{4} \times \dfrac{10^{12} }{10^{7} }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{12 - 7} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{5} }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}{10^{4 + 5} }\huge{\text{)}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]

[tex]\rightarrow{10^{9} }[/tex]

Step-by-step explanation (c):

[tex]\rightarrow \huge{\text{(}\dfrac{10^{5} }{10^{3} } }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}10^{5 - 3} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow 10^{2} }[/tex]

Step-by-step explanation (d):

[tex]\rightarrow \dfrac{10^{4} \times 10^{5} \times 10^{6} }{10^{3} \times 10^{7} }[/tex]

[tex]\rightarrow \dfrac{10^{4 + 5 + 6} }{10^{3 + 7} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]

[tex]\rightarrow \dfrac{10^{15} }{10^{10} }[/tex]

[tex]\rightarrow 10^{15 - 10} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow 10^{5} }[/tex]

Step-by-step explanation (e):

[tex]\rightarrow \dfrac{(10^{5})^{2} }{(10^{2})^{3} }[/tex]

[tex]\rightarrow \dfrac{10^{5 \times 2} }{10^{2 \times 3} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule: }(a^{2} )^{5} = a^{2 \times 5} = a^{10} ][/tex]

[tex]\rightarrow \dfrac{10^{10} }{10^{6} }[/tex]

[tex]\rightarrow {10^{10 - 6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow {10^{4}[/tex]

y = -1.5(x) + 0.5

slope:

⇒ (y2-y1)/(x2-x1)

⇒ (5-(-1))/(-3-1)

⇒ 6/-4

⇒ -1.5

equation:

⇒ y -(-1) = -1.5(x-1)

⇒ y + 1 = -1.5(x) + 1.5

⇒ y = -1.5(x) + 0.5

Answer:

The answer would be 64 cm.

Step-by-step explanation:

Step 1: Identify which shapes you will do to find the area
(I did 2 and 12 and 8 and 5)
Step 2: Do 12x2 (24)
Step 3: Do 8x5 (40)
Step 4: Add 40+24 (64)
Step 5: Label
I hope this helps!

Answer:

The answer is A. (Pls brainliest!!)

Step-by-step explanation:

Answer:

All of them

Step-by-step explanation:

To find the volume of a rectangular prism the formula is V=whl . So to find the dimensions of the box we would have to take the options that they give us and see which ones equal 80 cubic cm.

2⋅5⋅8=80, so right away we know the answer because 5⋅2=10 and 10⋅8=80

4⋅5⋅4=80, that is another possible answer because 5⋅4=20 and 20⋅4=80

10⋅4⋅2=80, yet another answer that is equivalent to 80 because 10⋅4=40 and 40⋅2= 80

So now we know that all three answers are correct and they would all work as possible dimensions  for Max’s box.

Hope this helps!!

Answer:

x= 28/5 or 5.6

Step-by-step explanation:

5(x+2)−3(x−6)=7x

5(x+2)−3(x−6)=7x

Simplify both sides of the equation.

5(x+2)−3(x−6)=7x

(5)(x)+(5)(2)+(−3)(x)+(−3)(−6)=7x <--(Distribute)

5x+10+−3x+18=7x

(5x+−3x)+(10+18)=7x  <--(Combine Like Terms)

2x+28=7x

2x+28=7x

Subtract 7x from both sides.

2x+28−7x=7x−7x

−5x+28=0

Subtract 28 from both sides.

−5x+28−28=0−28

−5x=−28

Divide both sides by -5.

[tex]\frac{-5x}{-5} \frac{-28}{-5\\} \\[/tex]      

x= 28/5

Answer:

x= 28/5

or

5.6

hope this helps!

First of all, subtract 5 from both sides:-

13-5<z+5-5

13-5<z

8<z

Since 8 is less than z, z is greater than 8:-

[tex]\bigstar{\boxed{\pmb{z > 8}}[/tex]

Hence, all the numbers greater than 8 will make this inequality true.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

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

13<z+5

Step 1: Flip the equation.

z+5>13

Step 2: Subtract 5 from both sides.

z+5−5>13−5

z>8

Answer:

z>8

Step-by-step explanation:

Answer:

B. -3

your question isn't clear

For a shape to be defined as a quadrilateral it has to have 4 sides.

For a shape to be defined as a triangle it has to have 3 sides, with the angles adding up to 180°

For a shape to be defined as a square it has to have 4 sides and angles. The angles must add up to 360° with equal side and angle length.

Answer:

Shapes are the outlines formed from a given area of figure. The characteristics of shapes vary and depend on what the given shape is. Here are the characteristics of a quadrilateral, triangle, and square.

1. Quadrilateral- Quadrilaterals should have four sides and four corners. As long as these two are present, you can call any shape a quadrilateral regardless of how it is formed.

2. Square- A square is a quadrilateral, so it must contain four sides and four corners. However, a square has its sides and corners equally made.

3. Triangle- A triangle should have three sides or vertices and three corners.

Step-by-step explanation:

Answer:

1.2kl

Step-by-step explanation:

1000grams=1kilogram

700+500=1200

so 1.2kilograms

Step-by-step explanation:

a circle with r=6 so the area for the circle is π*r^2

and the area for the rectangle in the meddle is 18*12 which 12 is the height of the rectangle

and the area for that shape equals the area for the circle plus the area for the rectangle

like salsa              hate salsa               total

like ballet                       32                         42                          74  

hate ballet                      22                           4                          26

total                                54                         46                         100

if a student does not like ballet (there is 26 that do not like ballet)..what is the probability that the student does not like salsa..of those 26 that do not like ballet, 4 do not like salsa...

4/26 = 0.1538 = 15.38% rounds to 15.4% <=

Answer:

Step-by-step explanation:

Te processing fee was applied to the discounted price.

The discounted price is

Amount of fee is

Answer:

The probability for A  is 1-0.1 is 90%

P(A)=90%

P(NOT B)=30%

P(A AND B)=0.9+0.7/2=1.6/2=80%

p(a and b) may be a little off.

Answers:

=======================================================

Work Shown:

P(A) = 1 - P(not A)

P(A) = 1 - 0.1

P(A) = 0.9

-------------------

P(not B) = 1 - P(B)

P(not B) = 1 -0.7

P(not B) = 0.3

-------------------

P(A and B) = P(A)*P(B) only when A and B are independent

P(A and B) = 0.9*0.7

P(A and B) = 0.63

Answer:

I think line C and L since Jenna's numbers are the same

Answer:

6 Hours

Explanation:

Linear Equation: mx+b=y

x variable: Hour

Hourly Fee: $15(x)

(Initial) Rent Fee: $25

Balance: $100

Equation:

15x+25=100

15x+25-25=100-25 -- Separate the constant terms from the x by subtracting 25 from both sides.

15x=100

15x/15=100/15 -- Isolate the x variable by dividing 15 from both sides.

x=6.6.. -- Round down to 6 (not 7) because you can't afford to snowboard for 7 hours with less than $15.

x=6 Hours

answer: 6 hours

Step-by-step explanation:

I did this on a paper

Answer:

Draw line a through points A and B. Draw line b through point C and parallel to line a. Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'. It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees

Answer:

by using pythagoras theorem

[tex] {h}^{2} = {p}^{2} + {b }^{2} \\ {28}^{2} = {17}^{2} + {es}^{2} \\ {28}^{2} - {17}^{2} = {es}^{2} \\ {es}^{2} = 495 \\ es = \sqrt{495} \\ es = 3 \sqrt{55} [/tex]

Answer:

9

Step-by-step explanation:

Raising a number to the second means multiplying that number.  3 * 3 = 9

Answer:

α = 29°

Step-by-step explanation:

Given values

Missing value

Solving :

Answer:

D

Step-by-step explanation:

Answer:

D. 8

Step-by-step explanation:

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.

(b/2) ² = (-8)²

Add the term to each side of the equation.

x² - 16x + (-8)² = 23 + (-8)²

Simplify the equation.

Raise -8 to the power of 2.

x² - 16x + 64 = 23 + (-8)²

Simplify 23 - (-8)²

Raise - 8 to the power of 2.

x² - 16x + 64 = 23 + 64

Add 23 and 64

x² - 16x + 64 = 87

Factor the perfect trinomial square into (x-8)²

(x-8)²=87

Solve the equation for x.

Take the square root of each side of the equation to set up the solution for x.

(x-8)²*¹/₂ = ±√87

Remove the perfect root factor x-8 under the radical to solve for x.

x - 8 = ±√87

Remove parentheses.

x - 8 = ±√87

Add 8 to both sides of the equation.

x = ±√87 + 8

The result can be shown in multiple forms.

Exact Form:

x = ±√87 + 8

Decimal Form:

x=17.32737905…,−1.32737905…

height = 10m

hope it helps...!!!