¿cuál es el
resultado de P(x) + Q(x)? ​

Answer: B

Step-by-step explanation: Hope this helps:)

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Given statement solution is :-  The Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

To find the sum of 4 + 20, we simply add the two numbers together:

4 + 20 = 24

As for the given vectors, let's perform the requested calculations:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >

Therefore, the Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

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The linear speed of the outer rim of the CD is 1.2558 m/s.

Linear speed is the measure of the concrete distance travelled by a moving object. The speed with which an object moves in the linear path is termed linear speed. In easy words, it is the distance covered for a linear path in the given time.

For the rotation pf an object of radius R that rotates with an angular speed ω the linear speed is S = |ω×R|

Given that, R = 120mm/2 = 60 mm

And the angular speed is 2π times the frequency, so we get:

ω = 2×3.14×(200 min⁻¹) = 1256 min⁻¹

The speed in meters/second, so we need to rewrite both of these quantities.

1 mm = 10⁻³ m

1 min = 60s

R = 60 mm = 60×(10⁻³ m)  = 0.06m

ω = 1256 min⁻¹ = (1256/60) s⁻¹ = 20.93 s⁻¹

Then the linear speed is S = (0.06 m)×(20.93 s⁻¹) = 1.2558 m/s

Therefore, the linear speed of the outer rim of the CD is 1.2558 m/s.

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Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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Answer:

B. 8.6 units

Step-by-step explanation:

I've plotted both points on the picture below. The distance between the two points is 8.6023252670426 units, which is closest to B, 8.6 units. As a result, B is the answer to this question.

Answer:

\( 3x - y = 5 \)

Step-by-step explanation:

The two pint equation of a line:

\( y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) \)

We have

\( x_1 = 4 \)

\( x_2 = 3 \)

\( y_1 = 7 \)

\( y_2 = 4 \)

\( y - 7 = \dfrac{4 - 7}{3 - 4}(x - 4) \)

\( y - 7 = \dfrac{-3}{-1}(x - 4) \)

\( y - 7 = 3(x - 4) \)

\( y - 7 = 3x - 12 \)

\( 5 = 3x - y \)

\( 3x - y = 5 \)

Answer:

please send the picture of the question plz!

Step-by-step explanation:

\(\sin^{2} \theta+\cos^{2} \theta=1 \\ \\ \sin^{2} \theta+\left(\frac{\sqrt{3}}{3} \right)^{2}=1 \\ \\ \sin^{2} \theta+\frac{1}{3}=1 \\ \\ \sin^{2} \theta=\frac{2}{3} \\ \\ \theta=-\frac{\sqrt{2}}{\sqrt{3}}=\boxed{-\frac{\sqrt{6}}{3}}\)

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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The new graphs would make it more difficult to estimate the price of a book.

To do this, we simply combine the frequencies on Felix and Tyler's table.

When this is done, we have the following dataset

3,3,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7, 8,8,8,8,9,9,9,9,9,9,9,9,9,11,11,13,13,13,13,15,15,15,16,16,18,18,18,18,18,19,19,19,19,19,19,29,32,32,36,36,36,38,38,64,64,66,66,66,68,68,69,75,75,76,76,76,76,76,78,78,79,82,82,86,86,86,89,96,96,97,97,99

Next, we create the box & whisker plot and the histogram using the new dataset

(see attachment for the graphs)

The new graphs would make it more difficult to estimate the price of a book.

This is so because the dataset used to create the graphs do not come from the same source

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Answer:

A

Step-by-step explanation:

The time that Leo thinks it is now is 12:30.

Theo's watch is 10 minutes slow, but he believes that is 5 minutes faster. Leo 's watch is 5 minutes faster, but he believes is 10 minutes slower. Theo looks at the watch, he believes it is now 12:00

Theo is late by a total of (10 + 5) minutes = 15 minutes

and

Leo is fast by a total of (5 + 10) minutes = 15 minutes.

Theo looks at the watch, he believes it is now 12:00, the present time for Leo will be:

= 12:00 + 15 + 15

= 12: 30

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Answer:

D. 270 cm2

Step-by-step explanation:

2*(15*5 + 15*3 + 5*3) = 270 cm2

Answer:

10 hours

Step-by-step explanation:

It is given that,

Standard working day is 8 hours

If you were to work 125% of a normal day, then it means that,

\(125\%\ \text{of}\ 8\ \text{hours}\\\\=\dfrac{125}{100}\times 8\\\\=10\ \text{hours}\)

Hence, you will work for 10 hours.

Answer:

  B = 80°

  b = 11.343

  c = 11.518

Step-by-step explanation:

Given side a=2 and angle A=10° in a right triangle with the right angle at C, you want to know the measures of B, b, and c.

The sum of angles in a triangle is 180°, so we have ...

  10° +B +90° = 180°

  B = 180° -100°

  B = 80°

This mnemonic is intended to remind you ...

  Sin = Opposite/Hypotenuse

  sin(10°) = 2/c

  c = 2/sin(10°) ≈ 11.343

and

  Tan = Opposite/Adjacent

  tan(10°) = 2/b

  b = 2/tan(10°) ≈ 11.518

The calculations are shown in the attachment.

Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.

What is compound interest?

compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.

Capital(p) = $6400

Rate of interest(r) = 11%

Years(n) = 3

The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).

Now

\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)

The entire amount (Capital+interest) is equal to $8752.8384.

If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)

Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.

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Step-by-step explanation:

Multiply each number in the parentheses by the number to the left;

\(-2(-4)-3(+2)\)

Simplify and combine like terms;

\(8-6\)

\(2\)

Answer:

\(f(x) = 2*2^x + 3\)

Step-by-step explanation:

The model for an exponencial function is:

\(f(x) = a*b^x + c\)

'c' is the value of the asymptote, so we have c = 3.

To find the value of 'a', let's use the point (0,5):

\(5 = a*b^0 + 3\)

\(5 = a*1 + 3\)

\(a = 2\)

Now, to find the value of 'b', let's use the point (1, 7):

\(7 = 2 * b^1 + 3\)

\(7 = 2b + 3\)

\(2b = 4\)

\(b = 2\)

So our function is:

\(f(x) = 2*2^x + 3\)

Let's check if the point (-1, 4) is inside our function:

\(4 = 2 * 2^{-1} + 3\)

\(4 = 1 + 3\)

\(4 = 4\ (correct)\)

Answer:

  10%

Step-by-step explanation:

If 40% failed chemistry then 60% passed chemistry.

If 19% failed both chemistry and physics, and 25% failed physics, then 6% passed chemistry and failed physics.

If we let p' represent failing physics and c represent passing chemistry, then ...

  P(p'|c) = P(p'c)/P(c)

  P(p'|c) = 6%/60% = 0.10 = 10%

If the randomly chosen student passed chemistry, the probability is 10% that he failed physics.

__

Your answer is correct.

To solve this problem, we can use conditional probability.

Let's assume that there were 100 students in the final exam.

According to the problem, 40% of the students failed chemistry, which means that 60% of the students passed chemistry.

To find the probability that a randomly selected student failed physics given that he passed chemistry, we need to use Bayes' theorem:

\(\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{P(Failed\: Physics\: and\: Passed\: Chemistry)}{ P(Passed\: Chemistry)}\)

We already know that P(Failed Physics and Passed Chemistry) = 6 students (from the Venn diagram), and P(Passed Chemistry) = 60 students (since 60% of the students passed chemistry).

Therefore,

\(\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{6}{60} = 0.1\: or\: 10\%\)

So the probability that a randomly selected student failed physics given that he passed chemistry is 10%.

Answer:

a single complete turn

Step-by-step explanation:

it's like rotating which iss turnig

Answer: a single complete turn

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5+5=10

your answer is 10

Answer:

10

Step-by-step explanation:

1+1= 2

1+1 = 2

2+2= 4

4 + 1 = 5

5 + 5 = 10

Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

the meaning of this book was that the power

Answer:

4

Step-by-step explanation:

substitute the given coordinates of J(3-6) and K(-1,-6) into the distance formula:

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

=> d = \(\sqrt{16 + 0}\)

=> d = 4

Answer:

y = 3x + 7

(Not sure what the question was so, I just put it in slope intercept form)

Step-by-step explanation:

Let x be Steve's age.

Steve = x

Steve's Mom = y

Now let's create an equation:

y - 7 = 3x

y = 3x + 7

(Not sure what the question was so, I just put it in slope intercept form)

Please let me know if I misunderstood the question that way I can help you! <3

Answer:

Steve's mom is 65.

Step-by-step explanation:

Let s = Steve's age.

s + (3s - 7) = 65

4s - 7 = 65

4s = 72

s = 18

Check:

Steve is 18

His mom is (3 * 18) - 7 = 54 - 7 = 47

14 + 47 = 65

Yep.

18 + 47 = 65