A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wats to determine how many houses the carrier can deliver in 7.5 minutes at the rate. He thiks that to find the awnsers, he should do the following: 1. Divide 36 houses by 30 to find a unit rate of 1.2 houses per minute 2. Then multiply 1.2 houses per minute minute by 7.5 to get 9 houses.

Answer:

[tex] \purple{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}[/tex]

Step-by-step explanation:

[tex]y = \frac{1}{ {x}^{11} } \\ y = {x}^{ - 11} \\ \frac{dy}{dx} = \frac{d}{dx} {x}^{ - 11} \\ \frac{dy}{dx} = - 11{x}^{ - 11 - 1} \\ \frac{dy}{dx} = - 11{x}^{ - 12} \\ \\ \frac{d}{dx} \bigg(\frac{dy}{dx} \bigg) = \frac{d}{dx} ( - 11 {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11\frac{d}{dx} ( {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11( - 12{x}^{ - 13} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = 132{x}^{ - 13} \\ \\ \huge \red{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}[/tex]

Answer:

17.

Step-by-step explanation:

Divide 2225 by 24 and round down. (92) Multiply 92 by 24 and subtract that (2208) from the total number (2225). you get 17

Answer:

the answer is: (g-f)-10

Answer:

y=8

Step-by-step explanation:

if you subsitute 3 into x then it will be y=3+5 which equals 8, so y= 8

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▹ Answer

-4

▹ Step-by-Step Explanation

9x + 8y = ?

Substitute the value for x in:

9(4) + 8y

Substitute the value for y in:

9(4) + 8(-5)

Multiply:

9 * 4 = 36

8 * -5 = -40

9x + 8y = 36 - 40 = -4

Hope this helps!

CloutAnswers ❁

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Answer:

d ≈ 8.5

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in our 2 coordinates into the formula:

d = √[(5 + 3)² + (-2 - 1)²]

d = √[(8)² + (-3)²]

d = √(64 + 9)

d = √73

d = 8.544

d ≈ 8.5

Answer:

Exponent

Step-by-step explanation:

The base tells what number is being repeatedly multiplied, and the exponent tells how many times the base is used in the multiplication. Exponents and have special names. Raising a base to a power of is called “squaring” a number. Raising a base to a power of is called “cubing” a number.

Answer:

Below.

Step-by-step explanation:

(sine) [tex]sin=30=1/2[/tex]

[tex]=cos [90-30][/tex]

Which means cos=60

Same as:

(cosine) [tex]cos=60=1/2[/tex] or [tex]Sin30=Cos 60=1/2[/tex]

Hence, the answer is...

cos 60° = ½....

By:✨ RobloxYt ✨

The value of the trigonometric ratio cos60 is  1 / 2.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the value of sin 30° is 1 over 2. The value of cos(90-30) will be calculated as:-

sin(30) = cos(90-30) = cos60
sin(30) = cos(90-30) = 1 / 2

Hence, the value of the cos60 is 1 / 2.

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Answer:

10

Step-by-step explanation:

2^0 = 1

5^1  = 5

4^3 = 4 x 4 x 4

=> 16 x 4

=> 64

=> 1 + 5 + 64 / 7

=> 6 + 64 / 7

=> 70 / 7

=> 10

So, the answer is 10

Answer:

y = -45

Step-by-step explanation:

Y/9 + 5 = 0

y/9 = -5

y = -45

Answer:

D. 13*3^x

Step-by-step explanation:

[tex]3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x[/tex]

The solution of 3ˣ + 4·3ˣ⁺¹ is 13·3ˣ which is the correct answer would be an option (D)

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

⇒ 3ˣ + 4·3ˣ⁺¹

⇒ 3ˣ + 4·3ˣ3¹

⇒ 3ˣ( 1 + 4·3)

⇒ 3ˣ( 1 + 12)

⇒ 3ˣ(13)

⇒ 13·3ˣ

Hence, the solution of 3ˣ + 4·3ˣ⁺¹ is 13·3ˣ which is correct answer would be option (D)

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Answer:

7/16, 7/32, 7/64

Step-by-step explanation:

PLEASE GIVE BRAINLIEST OR AT LEAST A THANKS!

Answer:

7/16, 7/32, 7/64

Step-by-step explanation:

7, 7 /2 , 7/ 4 , 7/ 8

We multiply by 1/2 each time

7/8 *1/2 = 7/16

7/16*1/2 = 7/32

7/32 *1/2 = 7/64

Answer:

$465.50

Step-by-step explanation:

Let the price be x, then:

Answer:  -2

Step-by-step explanation:

We know that the slope of a secant line over a interval [a,b] is given by :-

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

Given f(x) =[tex]-2x^2 + 4[/tex]

Then, the slope of the secant line over the interval [-1, 2] is given by :-

[tex]m=\dfrac{f(2)-f(-1)}{2-(-1)}\\\\=\dfrac{(-2(2)^2+4)-(-2(-1)^2+4)}{2+1}\\\\=\dfrac{(-2(4)+4)-(-2(1)+4)}{3}\\\\=\dfrac{(-8+4)-(-2+4)}{3}\\\\=\dfrac{-4-2}{3}\\\\=\dfrac{-6}{3}\\\\=-1[/tex]

Hence, the slope of the secant line over the interval [-1, 2] is -2.

Answer:

10

Step-by-step explanation:

Cube root of 1000

That's 10

Answer:

Calculator to find all the properties of a cube given any one property. ... Definition: The number of cubic units that will exactly fill a cube. Try this ... The volume of a cube is found by multiplying the length of any edge by itself twice.

Answer:

62.32%

Step-by-step explanation:

172/276 * 100%

= 62.32%

Answer:

Below

Step-by-step explanation:

● 2w^2 (w+6) + 7(w+6)

● (w+6) (2w^2 + 7)

answer

20

Step-by-step explanation:

I think you mean for times the difference of seven and 12 or (12-7)×4 if not sorry

Answer: 10

Step-by-step explanation:

4(x - 7) = 12

x - 7 = 3

x = 10

Answer:

10

Step-by-step explanation:

Anything greater than 9.49 would be rounded to 10, if it were 9.49, it would be rounded to 9. But only look at the numbers after the decimal.

i.e. ;

7.23 = 7

3.33 = 3

8.89 = 9

14.56 = 15

26.91 = 27

Answer:

Lower quartile - (20+32) divided by 2 = 26

Median - (43+46) divided by 2 = 44.5

Upper quartile - 51

Step-by-step explanation:

64

Answer:

1. There are a total of 19 marbles in the bag. The probability of picking a green marble out of them is 4/19 since there are only 4 green ones. The probability of picking a brown marble after replacing what has been initially picked is 1/19. The final probability is the product of the two probabilities and that is 4/361.

2. ?

3. 60%

Step-by-step explanation:

Answer:

lim x->0 (-8+x)/x^2

just plug in x = 0

(-8+0)/0

now this fraction is a negative number divided by 0.

So, it equals -infinity.

The limit value is infact -infinity,

so the given option, "Does Not Exit" is the best choice.

Answer:

97.98

Step-by-step explanation:

The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;

Area of the parallelogram = |PQ×PS|

PQ = Q-P and PS = S-P

Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)

PQ = (4,-5,3) - (0,0,0)

PQ = (4,-5,3)

Also, PS = S-P

PS = (8,-12,4)-(0,0,0)

PS = (8,-12,4)

Taking the cross product of both vectors i.e PQ×PS

(4,5,-3)×(8,-12,4)

PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k

PQ×PS = -16i - 40j -88k

|PQ×PS| = √(-16)²+(-40)²+(-88)²

|PQ×PS| = √256+1600+7744

|PQ×PS| = √9600

|PQ×PS| ≈ 97.98

Hence the area of the parallelogram is 97.98

Answer:

Step-by-step explanation:

2/(5d-77)=55

2=55(5d-77)

2/55=5d-77

5d=2/55 + 77

d = (2/55 + 77)/5

Hope you can calc that yourself

Looks like the equation is

[tex]x^7y+y^7x=7[/tex]

Differentiate both sides with respect to [tex]x[/tex], taking [tex]y[/tex] to be a function of [tex]x[/tex].

[tex]\dfrac{\mathrm d[x^7y+y^7x]}{\mathrm dx}=\dfrac{\mathrm d[7]}{\mathrm dx}[/tex]

[tex]\dfrac{\mathrm d[x^7]}{\mathrm dx}y+x^7\dfrac{\mathrm dy}{\mathrm dx}+\dfrac{\mathrm d[y^7]}{\mathrm dx}x+y^7\dfrac{\mathrm dx}{\mathrm dx}=0[/tex]

[tex]7x^6y+x^7\dfrac{\mathrm dy}{\mathrm dx}+7y^6x\dfrac{\mathrm dy}{\mathrm dx}+y^7=0[/tex]

Solve for [tex]\frac{\mathrm dy}{\mathrm dx}[/tex]:

[tex](x^7+7y^6)\dfrac{\mathrm dy}{\mathrm dx}=-(7x^6y+y^7)[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{7x^6y+y^7}{x^7+7y^6}[/tex]

Answer: x = ⅓ or 5

Step-by-step explanation:

From the quadratic equation, we are asked to find the root of the equation. Therefore, we may use any of the methods.

Here I am using grouping method.

3x² - 16x + 15 = 0

3x² - 15x -x + 15 = 0, we now factorize

3x( x - 5 ) - ( x - 5 ) = 0, we now collect like terms.

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

Now to find x, we equate each in brackets to zero and then solve.

3x - 1 = 0

x = ⅓ , and if

x - 5 = 0

x = 5, .

Now , the solution of the equation will be

x = ⅓ or 5

[tex]60 \div 5 = 12[/tex]

[tex]8 \times 12 = 96km[/tex]

Answer:

96 kilometers

Step-by-step explanation:

Let's set up a proportion using the following setup.

scale / actual = scale / actual

The scale is 5 cm to 60 km.

5cm / 60 km= scale/ actual

The distance on the map is 8 cm, but the actual distance is unknown. Therefore, we can say the actual distance is x km.

5 cm/ 60 km= 8 cm/ x km

5/60=8/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.

(5*x)=(8*60)

5x=8*60

5x=480

5 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 5.

5x/5=480/5

x=480/5

x=96

x= 96 km

The actual distance between the two points is 96 kilometers.

Answer:

2 - [tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the addition formula for tangent

tan(A - B) = [tex]\frac{tanA-tanB}{1+tanAtanB}[/tex] and the exact values

tan45° = 1 , tan60° = [tex]\sqrt{3}[/tex] , then

tan15° = tan(60 - 45)°

tan(60 - 45)°

= [tex]\frac{tan60-tan45}{1+tan60tan45}[/tex]

= [tex]\frac{\sqrt{3}-1 }{1+\sqrt{3} }[/tex]

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + [tex]\sqrt{3}[/tex] is 1 - [tex]\sqrt{3}[/tex]

= [tex]\frac{(\sqrt{3}-1)(1-\sqrt{3}) }{(1+\sqrt{3})(1-\sqrt{3}) }[/tex] ← expand numerator/denominator using FOIL

= [tex]\frac{\sqrt{3}-3-1+\sqrt{3} }{1-3}[/tex]

= [tex]\frac{-4+2\sqrt{3} }{-2}[/tex]

= [tex]\frac{-4}{-2}[/tex] + [tex]\frac{2\sqrt{3} }{-2}[/tex]

= 2 - [tex]\sqrt{3}[/tex]

Answer:

The answer is 90 degrees

Step-by-step explanation:

Both A and B make a right angle, which is 90 degrees.

Hope it helped :)

The value of m∠A + m∠B is 90°

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

Three lines intersect to form 5 angles such that:

From the top left ∠B made and after this 90° made.

∠D = 124°

From the figure, we can clearly see ∠A = ∠C (vertically opposite angles)

We can calculate ∠C = 360°-90°-90°-124° ⇒ 56°

Also ∠A = 56°

and ∠B = 90° - 56° ⇒ 34°

Now we can calculate the sum of the angle ∠A+∠B = 56+34 ⇒ 90°

Thus, the value of m∠A + m∠B is 90°

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Answer:

standard form means that the terms are ordered from biggest exponent to

lowest exponent. The leading coefficient is the coefficient of the first term in a

polynomial in standard form . For example, 3x^4 + x^3 - 2x^2 + 7x.