Order the sides of the triangle from shortest to longest.
X
Y
35°
97°
48°
W
A) WX, XY, WY
B) WY, WX, XY
C) WY, XY, WX
D) XY, WY, WX

Answer:

you can make 4 servings because 1 quart is 4 cups

Answer:

b i think..

Step-by-step explanation:

plz dont get your hopes up it just a hunch but if you think about it 1st add ti all then u can see ig i will update if needed sorry if wrong :(

Answer:

5.44

Step-by-step explanation:

1.6*3.4=5.44

Answer:

[tex]\mathbf{\int _c (x+6y)\ dx + x^2 \ dy = \dfrac{91}{6}}[/tex]

Step-by-step explanation:

The integral of the curve is given as:

[tex]\int (x +6y) \ dx +x^2 \ dy[/tex]

Where the line segment from (0,0) to (6,1) is:

0 < x < 6 and [tex]y = \dfrac{x}{6} \implies dy = \dfrac{dx}{6}[/tex]

Thus;

[tex]\int ^{6,1}_{0,0} (x+ 6 * \dfrac{x}{6}) \ dx + \dfrac{x^2*dx}{6 } = \int^6_0 (x+x+\dfrac{x^2}{6}) \ dx[/tex]

[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx = \int^6_0 (2x +\dfrac{x^2}{6}) \ dx[/tex]

[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx = \begin {bmatrix} \dfrac{2x^2}{2}+\dfrac{x^3}{18} \end {bmatrix}^6_0[/tex]

[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx = \begin {bmatrix} x^2+\dfrac{x^3}{18} \end {bmatrix}^6_0[/tex]

[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx = \begin {bmatrix} (6)^2+\dfrac{(6)^3}{18} \end {bmatrix}[/tex]

[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx = \begin {bmatrix} 36+12 \end {bmatrix}[/tex]

[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx =48 --- (1)[/tex]

Similarly; at (6,1) to (7,0)

[tex]\implies 6 \leq x \leq 7 \ and \ y = -x +7[/tex]

Thus; the integral can be computed as :

[tex]\int ^{(7,0)}_{(6,1)} \ (x+6(-x+7)) \ dx + x^2 (-dx) = \int^7_6 (-5x +42 -x^2) \ dx[/tex]

[tex]\int^7_6 (-5x +42 -x^2) \ dx= \begin {bmatrix}- \dfrac{5x^2}{2}+ 42x -\dfrac{x^3}{3} \end {bmatrix}^7_6[/tex]

[tex]\int^7_6 (-5x +42 -x^2) \ dx= \begin {bmatrix}- \dfrac{5(7^2-6^2)}{2}+ 42(7-6) -\dfrac{(7^3-6^3)}{3} \end {bmatrix}[/tex]

[tex]\int^7_6 (-5x +42 -x^2) \ dx= \begin {bmatrix}- \dfrac{5(49-36)}{2}+ 42(1) -\dfrac{(343-216)}{3} \end {bmatrix}[/tex]

[tex]\int^7_6 (-5x +42 -x^2) \ dx= \begin {bmatrix}- \dfrac{5(13)}{2}+ 42 -\dfrac{(127)}{3} \end {bmatrix}[/tex]

[tex]\int^7_6 (-5x +42 -x^2) \ dx= \begin {bmatrix}- \dfrac{-195+252-254}{6}\end {bmatrix}[/tex]

[tex]\int^7_6 (-5x +42 -x^2) \ dx= - \dfrac{-197}{6} --- (2)[/tex]

By adding (1) and (2) ; we have:

[tex]\int _c (x+6y)\ dx + x^2 \ dy = 48 + (-\dfrac{197}{6})[/tex]

[tex]\int _c (x+6y)\ dx + x^2 \ dy = (\dfrac{288-197}{6})[/tex]

[tex]\mathbf{\int _c (x+6y)\ dx + x^2 \ dy = \dfrac{91}{6}}[/tex]

Answer:

A

Step-by-step explanation:

Least common multiples are most helpful for adding and subtracting fractions because in order to add and subtract fractions you need to find a common denominator. If you want to do that you have to use least common multiples.

The perimeter of ABCD can be calculated using the following formula: Line AB + Line BC + Line CD + Line DA = Perimeter ABCD.

Therefore,

The perimeter of ABCD can be calculated using the following formula: Line AB + Line BC + Line CD + Line DA = Perimeter ABCD.

When we substitute the provided values, we get: ABCD perimeter = 9 units plus 5 units plus 9 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units As a result, the perimeter of ABCD is 28 units.

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Answer:

1) B. at 0 and 3 only

2) D. 2eˣcosx

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Derivative Property [Addition/Subtraction]:                                                          [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Derivative Rule [Product Rule]:                                                                              [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Trig Derivative: [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]

Trig Derivative: [tex]\displaystyle \frac{d}{dx}[cosu] = -u'sinu[/tex]

eˣ Derivative: [tex]\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'[/tex]

Step-by-step explanation:

*Note:

Velocity is the derivative of position.

Acceleration is the derivative of velocity.

Question 1

Step 1: Define

s(t) = t⁴ - 6t³ - 2t - 1

Step 2: Differentiate

Step 3: Solve

Question 2

Step 1: Define

f(x) = eˣ(sinx + cosx)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

3.337 miles

Step-by-step explanation:

D = Distance

S = Speed

T = Time

D = S x T

D = 4.4 x 0.17

D = 3.337

this is a kind weird number so this might be wrong tho

Answer:

10.30 or 10 1/6 if this answer is not on the answer choices round to the nearest answer close to this.  

Step-by-step explanation:

how to solve.

34/5=6.8    - this is how many miles the car is traveling per minuet.

6.8/70=10.30   - this should be the answer because this is how many minutes it takes the car to travel 70 miles

Answer:

5

Step-by-step explanation:

I hope this helps!

The greatest common factor of 25 and 45 is 5.

GCF is the greatest common factor, that is the highest common number that is common in two or more numbers.

The given numbers are 25 and 45.

To find the greatest common factor, factorize the numbers,

Factor of 25 = 5 × 5

Factor of 45 = 3×3×5

The common term in 5 × 5 and  3×3×5 is 5.

Therefore, the greatest common factor is 5.

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x=-14

move x to the right side and move 5 to the left side and 5 turns to a negative

x-9=5

-5-9=x

x=14

Answer:

I gues answer is 4( factor)

Answer:

167688 ways

Step-by-step explanation:

Given that:

Number of boys = 17 &;

Number of girls = 19

The number of ways that five students can be chosen such that more boys than girls are selected are:

The ways of choosing = 5 boys 0 girls + 4 boys 1 girl + 3 boys 2 girls

The ways of choosing = [tex]^{17}C_5 +( ^{17}C_4 \times ^{19}C_1} )+( ^{17}C_3 + ^{19}C_2})[/tex]

The ways of choosing = [tex]\dfrac{17!}{5!(17-5)!} + \begin {pmatrix} \dfrac{17!}{4!(17-4)!} \times \dfrac{19!}{1!(19-1)!} \end {pmatrix} + \begin {pmatrix} \dfrac{17!}{3!(17-3)!} \times \dfrac{19!}{2!(19-2)!} \end {pmatrix}[/tex]

[tex]=\dfrac{17!}{5!(12)!} + \begin {pmatrix} \dfrac{17!}{4!(13)!} \times \dfrac{19!}{1!(18)!} \end {pmatrix} + \begin {pmatrix} \dfrac{17!}{3!(14)!} \times \dfrac{19!}{2!(17)!} \end {pmatrix}[/tex]

[tex]=\dfrac{17*16*15*14*13*12!}{5!(12)!} + ( \dfrac{17*16*15*14*13!}{4!(13)!} \times \dfrac{19*18!}{1!(18)!} ) + ( \dfrac{17*16*15*14!}{3!(14)!} \times \dfrac{19*18*17!}{2!(17)!} )[/tex][tex]=6188 + ( 2380\times19 ) + (680 \times171)[/tex]

= 167688 ways

Using the combination principle, the number of ways of selecting 5 students such that the number of boys is greater the number of girls selected ls 167688 ways.

Number of selections to be made = 5

In other to choose more boys than girls :

Using the combination relation :

(17C5 × 19C0) + (17C4 × 19C1) + (17C3 × 19C2)

(6188 × 1) + (2380 × 19) + (680 × 171)

(6188 + 45220 + 116280)

= 167688 ways

Therefore, the Number of ways of making the selection is 167688 ways

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Answer: x= 13

Step-by-step explanation:

You have 105 mL of a 40% alcohol solution, which contains 0.4 • 105 mL = 42 mL of alcohol.

If you mix it with x mL of 80% solution, you end up with a (105 + x) mL solution that contains (42 + 0.8x) mL of alcohol.

In this solution, you want to have a concentration of 45%, so

((42 + 0.8x) mL) / ((105 + x) mL) = 0.45

Solve for x :

(42 + 0.8x) / (105 + x) = 0.45

(42 + 0.8x) / 0.45 = 105 + x

280/3 + 16/9 x = 105 + x

7/9 x = 35/3

x = 15

So you need 15 mL of the 80% solution.

Answer:

b. 20 songs

Step-by-step explanation:

when you look at (0,0), the y-intercept is 20, so that is the initial starting point.

Answer:

If it moves 29.3 meters a day, then we need to find the total amount of days:

1000 days + 100 days = 1100 days

Since it moves 29.3m per day, we can write:

29.3m x 1100 which equals 32230m

So it moved 32230 meters

Step-by-step explanation:

Answer:

10.50×5=52.50 255-52.50=202.50

Step-by-step explanation:

well if 10.50 is taken for 5 months he will have 202.50 because 255-52.50=202.50

Answer:

Lets look at the expressions with respect to the competition parameters:

Expressions:

You(Y) =4m+11

Friend(F)=5m+6

1. The competition begins AFTER you and friend already caught some flies. This would be represented by the CONSTANT terms in each expression (in this case, 13 for you, 6 for friend).

So the number of flies caught BEFORE THE COMPETITION would be...

11+6=17 flies total

2. The competition length was "m" minutes long when flies are caught and counted. This would be represented by the VARIABLE terms in each expression (in this case, 4m for you, 5m for friend). We are not given a numeric value for the variable "m" to evaluate.

So the number of flies caught DURING THE COMPETITION (timed "m" minutes long) would be....

4m+5m=9m flies total

...and the number of flies per minute would be calculated as......

9m÷m=9 flies per min....total #flies divided by total minutes

3. If the problem asked for the total number of flies caught by you and friend, before and after the competition....

9m+17 flies total.....add like terms in each expression.

Answer:

a. 9m+17

b. You caught more fireflies

Step-by-step explanation:

Answer:

(6,0)

Step-by-step explanation:

Answer:

what lesson in math is this??

Answer:

x= 5

Step-by-step explanation:

10(5)+50+80=180

Multiply the 5 by 10

10*5=50

50+50+80=180

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x=5

Step-by-step explanation:

10x+50+80=180

combine 10x(50+80)=180, 10x+130=180

subtract 10x(130-130)=(180-130), 10x=50

divide 10 by 50 to find x=5

hope the step by step helps

awnser:25%

because 4/100=25

The probability of the number rolled is a "1" OR a "2" is,

⇒ 1/2

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

You roll a special 4-sided die.

Now, After roll a special 4-sided die, the probability to get 1 is,

⇒ 1/4

And, After roll a special 4-sided die, the probability to get 1 is,

⇒ 1/4

Hence, The probability of the number rolled is a "1" OR a "2" is,

⇒ 1/4 + 1/4

⇒ 2/4

⇒ 1/2

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Answer:

53

Step-by-step explanation:

Alternate interior angles are the same value.

Answer:

✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️

Answer:

5/2

Step-by-step explanation:

The line crosses two points: (0,1) and (5,3)

You can then use the slope-point formula to find the slope:

(x1 - x2)/(y1 - y2) =

(0 - 5)/(1 - 3) =

-5/-2 =

5/2

Answer:

The slope of the line is 2/5

Step-by-step explanation:

Start counting where the y-intercept is. The y-intercept is at (0,1). The line is positive since it is increasing from left to right, so you need to count up and then to the right in order to find the slope. You need to find a point where the line intercepts a coordinate point directly on the line. If you look at the point (5,3) it is directly on the intersection that runs up and down. Start at 1 and count 2 up and 5 to the right. You will end up on the point (5,3). Hope this helps. Ask more questions if you need to