Samuel and Leticia are playing a game. After the first round of the game, Samuel's score was -19 and Leticias score was 21. The score with the greater absolute value wins each round. Who won the first round? Explain

Answer:

[tex]-2x^2-8x+12[/tex]

Step-by-step explanation:

[tex]f-g=(3x^2-2x+4)-(5x^2+6x-8)=3x^2-2x+4-5x^2-6x+8=\\ =-2x^2-8x+12[/tex]

(f-g)(x)=f(x)-g(x)

=((3x^2)-2x+4)-((5x^2)+6x-8)

=(-2x^2)-8x+12

The answer is -2x^2 -8x+12. I hope this helps.

21 (c) pieces of candy

Answer:

c

Step-by-step explanation:

Answer:

This is not a complete question...

the answer should be D

The answer shoud be D because the line are across from each other.

Answer:

sin (θ) = 0,58

Step-by-step explanation:

The formula for sin (θ) is:

sin (θ) = (opposite side)/hypotenuse

The opposite side to the θ angle is the one that measures 5 inches, but we don’t know the measure of the hypotenuse. The Pythagoras theorem gives us the following formula:

side 1²+ side 2²= hypotenuse²

Then,

5²+7²=74

√74= 8,60 inches; this is the measure for the hypotenuse.

Replacing this value in the formula for sine:

sin (θ) = 5/8,60  = 0,58

Answer:

yes 1/16

Step-by-step explanation:

0.2 as a decimal 1/5 as a fraction 20% as a percentage

3/10 as a fraction 0.3 as a decimal and 30% as a percentage

0.75 as a decimal 75% as a percentage 3/4 as a fraction

1.25 as a decimal 125% as a percentage 125/100

Hopes this helps

The correct answer would be B, all characteristics. Reflectional Symmetry is when an object is divided into halve in which to completely identical pieces are left.

(B) All characteristics.

Therefore, the correct option to fill the blank is (B) All characteristics.

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Remark

Whatever the table shows is probably the Federal tax. It shows that with one exemption and a biweekly pay of 850 means that 80 is deducted.

The amount of state tax is 21% of the federal fax.

State Tax = 80 * 21/100 = $16.80  Answer

So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you dont have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be simplified to 45 or two decimal points 45.167. Hope that Helped! :)

(7a+2)(7a-2)

= (7a)^2 - (2)^2

= 49a^2 - 4

they can do it in five hours

120-10=110/2=55 students per bus

Step one: 120-10= 110

Step two: 110÷2=55

Answer: 55 students per bus

Do 450 divided by 18, which equals 25

All you would need to do is divide 450 by 18. This equals 25. So, 25 pens should be put into each pack.

I hope this helps you! Comment if you have any questions or need help with anything else. :)

We are given: a mountain descends (getting down vertically) = 100 meter.

For getting down we would take it by a negative number so it would be -100 meter.

And every horizontal distance  = 1,000 meter.

We know formula for slope is = Change in vertical distance/ Change in Horizontal distance.

Plugging values in formula of slope above, we get

Slope = -100/1000 = -1/10 or -0.1.

Therefore, we could say the slope of a mountain is [tex]-\frac{1}{10}\ or \ -0.1.[/tex]

Here are the areas of the 3 separate shapes:

1. 27.5 m^2

2. 25.5 m^2

3. 27.5 m^2

As you can see, the 1st and 3rd shapes share the same total area, so those are the shapes you should select.

Final answer:

To find the length of the rope anchoring the boat to the shore, use the tangent function with the angle of depression and the height of the boat above the water.

Explanation:

To find the length of the rope anchoring the boat to the shore, we can use trigonometry. The angle of depression from the boat to the water is 40° and the height of the boat above the water is 25.17 feet. We can use the tangent function to find the length of the rope. tan(40°) = opposite/adjacent. The height of the boat above the water is the opposite side and the length of the rope is the adjacent side. So, we have:

tan(40°) = 25.17/adjacent

Solving for the adjacent side, we get:

adjacent = 25.17 / tan(40°)

Using a calculator, we can evaluate this expression to find that the length of the rope is approximately 33.95 feet.

Answer:

One number is 17 and the other is 85.

Step-by-step explanation:

Let the numbers be m and n.  Let m = (1/5)n.  Note that m+n = 18.

Substituting (1/5)n for m in the 2nd equation, we get (1/5)n + (5/5)n = 18.  Multiplying all three terms by 5 to remove fractions, we get n + 5 = 90, so that n = 85.  m is (1/5) of 85, or m = 17.

Final answer:

The two numbers in question are 15 and 3. To find them, establish a variable for the larger number, set up an equation based on the given ratio and sum, solve for the variable, and divide by five to get the smaller number.

Explanation:

The student wishes to find two numbers where one number is one-fifth of the other and their sum is 18. Let's denote the larger number as x and the smaller number as one-fifth of x, or x/5. The equation representing their sum is x + (x/5) = 18. To solve for x, we first find a common denominator, which is 5, and rewrite the equation as 5x/5 + x/5 = 18. Combining like terms gives us 6x/5 = 18. Multiplying both sides by 5/6, we get x = (18 × 5) / 6. Simplifying this gives x = 15. We then calculate x/5 to find the smaller number, yielding 3. Therefore, the larger number is 15 and the smaller number is 3.

Hey there!!  

Given equation :

... 4 ( 3q - 2 ) = 16q

... 12q - 8 = 16q

Subtract by 12q on both sides

... -8 = 4q

Divide by 4 on both sides

... -8 / 4 = q

... q = -2

Given equation :

4 ( 3q - 2 ) = 16q

Substitute the value of -2 in place of q

... 4 ( -6 -2 ) = 16 × -2

... 4 ( -8 ) = -32

... -32 = -32

∴ Hence proved

Hope my answer helps!!

First we find the fraction in decimal form,

so they it will equal to 1.5 because 2/4 is 0.5 and 9.5 because 5/10 is .5 as well

Then we add and get a whole number which is 11

Answer,

11

Hope this helps :-)

- 5/6

Negative five sixths

Hope it helps ❤️

To solve the equation −13+2z=−56, we isolate z by first adding 13 to both sides, giving 2z=−43, and then dividing both sides by 2, resulting in z=−21.5.

The student is asking for the solution to the linear equation −13 + 2z = −56. To solve for z, we need to perform two steps. First, add 13 to both sides of the equation to isolate the term with z on one side. This gives us 2z = −43. Next, we divide both sides by 2 to solve for z, which results in z = −21.5.

ANSWER

[tex]3.\bar4 =\frac{31}{9}[/tex]

EXPLANATION.

Let [tex]y=3.\bar4---(1)[/tex]

This is a recurring decimal. So we need to multiply by 10 to form a new equation that will cater for the recurring but when subtracted.

Multiply (1) by 10 to obtain,

[tex]10y=34.\bar4---(2)[/tex]

Equation (2) -equation (1) gives;

[tex]9y=31[/tex]

[tex]\Rightarrow y=\frac{31}{9}[/tex]

Hence the correct answer is A.

The correct answer is 7e+6 or in other words 7000000

A patient in the emergency room is monitored for heart​ rate, oxygenation​ level, etc. The nurse notices that the heart beat averages 80 but drops to 60 beats every other minute and then spikes to 120. The cardiologists have asked the nurses to notify them if this​ happens, as that pattern is indicative of heart attacks. The nurse calls the doctor.

Is the nurse using inductive or deductive​ reasoning?

The number name for 43,080,700 is Forty-three million, eighty thousand and seven hundred.

It is required to find the number name.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given:

The number name for 43,080,700 is

Forty-three million, eighty thousand and seven hundred.

Therefore, the number name for 43,080,700 is Forty-three million, eighty thousand and seven hundred.

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Answer:

The answer is: d) in step 5 he should have multipled both sides by 1/3.

Answer:

D

Step-by-step explanation:

-12 > x - 7    flip the inequality

x - 7 > -12     add 7 to both sides

x - 7 + 7 > -12 + 7

x > -5

8. 40%

10. 192

12. 0.04

B) Because to find the value of x and y you have to divide x by 7 to make it x and the multiply 7 by y because you divided by the opposite side, which is x.