What is the answer a,b,c or d?

Answer:

Jack has a toy poodle names Lucy. He is supposed to feed Lucy 11 ounces of dog food a day. He has s ounces of food in the bag he bought for the month. The amount of dog food left in the bag after feeding Lucy today is represented by s-11.

The value of point k which lies on the function y = abˣ is 10/0.

An exponential function is a function where the independent variable is the exponent or the variable is the power.

Given, An exponential function y = abˣ, b > 0 passes through A(1, 10)

and B (4, 80).

At (1, 10).

y = abˣ is 10 = ab¹.

And at (4, 80) y = abˣ is 80 = ab⁴.

Now, If we divide 80 = ab⁴ and  10 = ab¹ we have b³ = 8 hence b = 2.

Therefore, 10 = a.3¹.

a = 10/3.

Therefore, y = (10/3).3ˣ is the function.

Now, At (- 1, k).

k = (10/3).3⁻¹.

k = 10/(3×3).

k = 10/9.

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The approximate value of the definite integral I to six decimal places is 0.048042. To approximate the definite integral I, we can use a power series expansion of the integrand function: x^3/(1+x^5) = x^3 - x^8 + x^13 - x^18 + ...

Integrating both sides of the equation, we get:
∫x^3/(1+x^5) dx = ∫x^3 - x^8 + x^13 - x^18 + ... dx
Since the series converges uniformly on any interval [a,b], we can integrate each term of the series separately:
∫x^3/(1+x^5) dx = ∫x^3 dx - ∫x^8 dx + ∫x^13 dx - ∫x^18 dx + ...
= (1/4)x^4 - (1/9)x^9 + (1/14)x^14 - (1/19)x^19 + ...
To approximate the definite integral I = ∫0^1 x^3/(1+x^5) dx, we can truncate the series after a certain number of terms and evaluate the resulting polynomial at x=1 and x=0, then subtract the two values:
I ≈ [(1/4) - (1/9) + (1/14) - (1/19) + ...] - [(0/4) - (0/9) + (0/14) - (0/19) + ...]
Using a calculator or a computer program, we can compute the series to as many terms as we need to achieve the desired accuracy. For example, to approximate I to six decimal places, we can include the first 100 terms of the series:
I ≈ [(1/4) - (1/9) + (1/14) - (1/19) + ... - (1/5004)] - [(0/4) - (0/9) + (0/14) - (0/19) + ... - (0/5004)]
= 0.048042
Therefore, the approximate value of the definite integral I to six decimal places is 0.048042.

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Explanation:

Since AB is the midsegment, this means AB is half as long as YZ.

Put another way, YZ is twice as long as AB.

So,

2*AB = YZ

2*(x-1) = 10

x-1 = 10/2

x-1 = 5

x = 5+1

x = 6

If BA is the midsegment of ΔXYZ, the value of x is 6

Midsegment is the line segment connecting the midpoints of two sides of a triangle.

Using the triangle Midsegment Theorem,

AB = 1 / 2 YZ

AB = 1 / 2 (10)  

x - 1  =  5

add 1 to both sides of the equation

x - 1 + 1 = 5 + 1

x = 6

Therefore, If BA is the midsegment of ΔXYZ, the value of x is 6

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We can be 98% cοnfident that the true difference in mean amοunt οf fοοd Buster eats when οffered Busted Nuggets and Busted Tenders is between -14.566 and -7.634 grams

Calculate the sample mean difference and the standard errοr οf the difference in οrder tο build the cοnfidence interval fοr the difference in the mean amοunt οf fοοd that Buster cοnsumes when served Busted Nuggets and Busted Tenders.

The sample mean difference is:

X1 - X2 = 152.6 - 163.7 = -11.1 grams.

The standard errοr οf the difference can be calculated as fοllοws:

SE = √(S1²/n1 + S2²/n2)

where S1 and S2 are the sample standard deviatiοns οf the twο grοups and n1 and n2 are the sample sizes.

Substituting the values, we get:

SE = √(4.45²/31 + 5.75²/31) = 1.463

ME = t x (SE) = 2.365 x 1.463 = 3.466

Finally, the cοnfidence interval fοr the difference in mean amοunt οf fοοd Buster eats is:

-11.1 - 3.466 < µ1 - µ2 < -11.1 + 3.466

-14.566 < µ1 - µ2 < -7.634

Hence, we have a 98% cοnfidence level that Buster actually cοnsumes between -14.566 and -7.634 grammes less fοοd οn average when given the chοice between Busted Nuggets and Busted Tenders. This periοd can be understοοd as Buster favοring Busted Tenders because οf the negative.

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All the solutions to the recurrence relation are derived below. And the general solution will be given below.

\(\rm a_n = \alpha _1 \cdot 2^n + \alpha _2 \cdot 3^n - n \cdot 2^{n+ 1} + \dfrac{3}{2}n + \dfrac{21}{4}\)

A Volterra integral expression of the second sort for the thickness of a piezoelectric coating on the surface is obtained by solving an auxiliary question in the abdomen and pelvis.

The equation is given below.

\(\rm a _n = 5a_{n-1} - 6a _{a-2} + 2^n + 3n\)

Then the equation associated with a homogeneous linear recurrence relation, then we have

\(\rm a _n - 5a_{n-1} + 6a _{a-2} = 0\)

The relative equation will be

r² - 5r + 6 = 0

On solving, we have

r = 2, 3

Then we have

\(\rm a_n^h = \alpha _1 2^n + \alpha _2 3^n\)

Let a suitable coefficient C such that \(C\cdot 2^n = a_n^{p_1}\)

Then replace this in the recurrence relation, then we have

\(\rm C\cdot 2^n = 5C \cdot 2^{n-1} - 6C \cdot 2^{n -2}\)

Let

\(a_n^{p_1} = b \cdot n \cdot 2^n\\\\a_n^{p_1} = -2n \cdot 2^n\)

Then we have

dn + e = {d(n - 1) + e} - 6 {d(n - 2) + e} + 3n

dn + e = (-d + 3)n + (7d - e)

In comparing we have

d = -d + 3

d = 3/2

and

7d - e = e

e = 21/4

Then the recurrence relation can be written as

\(\rm a_n^{p_1} = \dfrac{3}{2}n + \dfrac{21}{4}\)

Then the general solution will be

\(\rm a_n = a_n ^{h} + a_n ^{p_1} +a_n ^{p_2} \\\\a_n = \alpha _1 \cdot 2^n + \alpha _2 \cdot 3^n - n \cdot 2^{n+ 1} + \dfrac{3}{2}n + \dfrac{21}{4}\)

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\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y^{-5}}{x^{-3}}\implies \cfrac{y^{-5}}{1}\cdot \cfrac{1}{x^{-3}}\implies \cfrac{1}{y^5}\cdot \cfrac{x^3}{1}\implies {\Large \begin{array}{llll} \cfrac{x^3}{y^5} \end{array}}\)

The given point is (0,-12).

It is required to tell whether the point is an x-intercept or a y-intercept.

Recall that the first coordinate of a coordinate point represents the x-coordinate, while the second coordinate represents the y-coordinate.

The x-intercept is the point where the y-coordinate is zero.

The y-intercept is the point where the x-coordinate is zero.

Notice that the given point has an x-coordinate of zero; this means that the given point is a y-intercept.

The point is a y-intercept.

Answer:

y-intercept

Step-by-step explanation:

y-intercept is a point where the graph of a function intersects the y-axis and at y-intercept, the x co-ordinate is 0.

 (0, -12) is y-intercept.

By definitions of volume and flow rate, it will take a time of 10 minutes to fill the tank to a height of 50 centimeters.

Herein we find the case of a rectangular tank being filled with water at constant flow are, which is dimensionally speaking, volume by time. We know that dimensions of the tank are described in centimeters, whereas flow rate is described in liters per minute. Please notice that a liter is equal to 1000 cubic centimeters:

t = [(80 cm) · (60 cm) · (50 cm) · (1 L / 1000 cm³)] / (24 L / min)

t = 10 min

By definitions of volume and flow rate, it will take a time of 10 minutes to fill the tank to a height of 50 centimeters.

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Answer:

x=30

y=4

Step-by-step explanation:

Since there is an equilateral triangle, those angles =60°, and all sides to that triangle are equal.

You can determine y by looking at the congruent lines on the second triangle. In this triangle, we see that two sides, one of which is a side to the equilateral triangle, are equal to 20. Because one of these sides is a side to the equilateral, we know that all sides of the equilateral triangle are equal to 20, so using simple algebra you can determine that y=4.

To solve for x is a little more difficult. In the equilateral triangle, we know that all angles =60°, therefore we can solve for two angles to use to solve for x. We can solve for the obtuse angle by subtracting 60 from 180=120. then we can solve for the next angle that is next to the equilateral triangle because these two make a right angle so 90-60=30. Now you add the angles you just solved for, subtract that sum from 180, and you get x.

120+30=150

180-150=30

x=30

The kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.

The potential energy of the roller coaster at the top of the hill can be calculated as:

PE = mgh

where m is the mass of the car and its passengers, g is the acceleration due to gravity \((9.8 m/s^2\)), and h is the height of the hill (62 m). Thus, we have:

PE =\((1088 kg)(9.8 m/s^2)(62 m) = 670,720 J\)

At the bottom of the hill, all of the potential energy has been converted to kinetic energy. The kinetic energy of the roller coaster can be calculated as:

\(KE = (1/2)mv^2\)

where v is the speed of the roller coaster at the bottom of the hill. Thus, we have:

\(KE = (1/2)(1088 kg)(33 m/s)^2 = 594,576 J\)

Therefore, the kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.

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Peer-reviewed (refereed or scholarly) journals: Before an article is published in a journal, it is examined by a number of other experts in the subject to guarantee that it is of a high caliber. (The paper is more likely to be valid from a scientific standpoint, draw fair conclusions, etc.)

Peer review has been conducted on the publications in a refereed journal. The papers were evaluated for quality by reputable academics or subject-matter experts before being approved for publication, so this tells us that they are of a high caliber. Also known as "scholarly" or "peer-reviewed," these pieces are published in journals.

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Answer:

A

Step-by-step explanation:

(x-4)^2=5

(x-4)(x-4)=5

x(x-4)-4(x-4)=5

distribute

x^2-4x-4x+16=5

combine like terms

x^2-8x+16=5

move terms to the left and combine

x^2-8x+11=0

use the quadratic formula and simplify

x=-(-8)+/-2 to the square roots of 5 over 2

separate and solve

x=4+ square root of 5

x=4- square root of 5

ANSWER: x=4+/- square root of 5

Answer:

6 0 % + 5 0 % = ?

6 0 % + 5 0 % = 1 1 %

Step-by-step explanation:

Roberta is the employee of the month 50% in " M a y " a n d 60% in A p r i l  a d d   u p   b o t h  n u m b e r s   t o   g e t  t h e   a n s w e r   .    .    .    .   .   .    .                     .

0 + 0 = 0

6 + 5 = 1 1

Answer:

F = -20h + 450

Step-by-step explanation:

To find the linear function, we will use the coordinate points (1, 430) and (2, 410)

Get the slope;

m = ΔF/Δh = 410-430/2-1

m = -20/1

m = -20

Get the y intercept b

Substitute m = -20 and (1, 430) into y = mx+b

430 = -20(1) + b

430+20 = b

450 = b

Swap

b = 450

Get the required equation

y = -20x + 450

replace x with h and y with F

F = -20h + 450

Hence the required equation is F = -20h + 450

Answer:

It should be 2/6 if it lands on 2 and 1/6 if it lands on 3 or 1

Step-by-step explanation:

Hope this helps if not sorry

Answer:  1/6

Step-by-step explanation:

P(2), probability of getting a 2 = possibilities/outcome

P(2)= 2/6=1/3

P(1 or 3) = 3/6 = 1/2

P(2 and (3or1)) because there is an "and" here you multiply the 2 probabilities

P(2 and (3or1) = 1/3 * 1/2 = 1/6

Answer:

$0.60

Step-by-step explanation:

Well, to find the cost of one cookie, we have to divide 9 by 15.

9/15=.6

.6 as cents is 60 cents.

Each cookie costs 60 cents.

Hope this helped you!! Have a wonderful day ^^

Answer:

0.6 Cents per cookie

Step-by-step explanation:

If you divide the cost by 15 you'll get 0.6 Cents.

Hope this helps.

Answer:

x = 1.5 or 1 1/2

y = 8

Step-by-step explanation:

Solving for x:

2x + 1/2 y = 7

6x - 1/2y = 5

Add both equations:

2x + 1/2 y + 6x - 1/2y = 7 + 5

8x = 12

x = 1 1/2

Solving for y:

2x + 1/2y = 7

We know x, so lets input

2(1.5) + 1/2y = 7

3 + .5y = 7

0.5y = 4

y = 4*2

y = 8

Check with the other equation

6x - .5y = 5

6(1.5) - 0.5y = 5

9 - 0.5y = 5

0.5y = 9 - 5

0.5y = 4

y = 4 * 2

y = 8

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Answer:

252

Step-by-step explanation:

(5+22) x (35-27) +\(6^{2}\)

27 x 8 + \(6^{2}\)

27 x 8 + 36

216 + 36

252

Answer: I fixed my answer

252

Hope this helped<3

Answer:

1 3/8

Step-by-step explanation:

Subtract the fractions, but you need to find common denominators first. Since 4 can go into 8, 8 is the common denominator. Multiply 2 3/4 by 2/2

2 3/4 × 2/2 = 2 6/8

Now subtract.

2 6/8 - 1 3/8 = 1 3/8

Answer:

Number of pounds of dried fruit = 3 pounds

y = number of pounds of granola

= 6.50

Step-by-step explanation:

Dried fruit cost = $6.00 per pound

Granola cost $5.50 per pound

9.5 pounds of trail mix = $53.75

Let

x =number of pounds of dried fruit

y = number of pounds of granola

x + y = 9.5 .........(1)

6x + 5.50y = 53.75 .........(2)

From (1)

x = 9.5 - y

Substitute x = 9.5 - y into

6x + 5.50y = 53.75

6(9.5 - y) + 5.50y = 53.75

57 - 6y + 5.50y = 53.75

57 -0.50y = 53.75

-0.50y = 53.75 - 57

-0.50y = -3.25

y = -3.25 / -0.50

= 6.50

y = 6.50 pounds

Substitute y = $6.50 into

x + y = 9.5

x + 6.50 = 9.5

x = 9.5 - 6.50

= 3

x = 3 pounds

Number of pounds of dried fruit = 3 pounds

y = number of pounds of granola

= 6.50

Given:

The circumference of each tire on a vehicle is approximately 88.

The circumference of the tire means the distance traveled by vehicle in one revolution.

And the tire makes 35000 revolutions.

So, the distance travel is,

Answer: 3080000 units.

Answer:

6580 approx

Step-by-step explanation:

Given data

Population= 5000

Rate= 4%

Time = 7years

We are going to apply the compound interest formula

A=P(1+r)^t

substitute

A= 5000(1+0.04)^7

A= 5000(1.04)^7

A=5000*1.3159

A= 6579.5

Hence the population after 7 years is 6580 approx

is is 10 for shirt and 3 for hat

Step-by-step explanation:

Let a hat be x and a t shirt be y.

9y + x = 93.......... (1)

4y + x. = 43...........(2)

Using the elimination method

Multiply eqn (2) by -1 and eqn by +1

9y + x =. 93.........(3)

-4y - x.= -43..........(4)

Add both equations

5y =. 50.......(5)

y. =. 50 ÷5 = 10

y. =. 10

For the function f(x, y, z) = xyz and the solid region Q defined as Q = {(x, y, z): 0 ≤ x ≤ 1, 0 ≤ y ≤ 7x, 0 ≤ z ≤ 3}, we can write the triple integral in six different orders of integration.

Each order represents a different sequence of integrating with respect to the variables x, y, and z. One of the triple integrals will be evaluated.

The six possible orders of integration for the triple integral of f(x, y, z) = xyz over the solid region Q = {(x, y, z): 0 ≤ x ≤ 1, 0 ≤ y ≤ 7x, 0 ≤ z ≤ 3} are as follows:

dz dy dx: Integrate first with respect to z, then y, and finally x. The limits of integration are z = 0 to z = 3, y = 0 to y = 7x, and x = 0 to x = 1.

dz dx dy: Integrate first with respect to z, then x, and finally y. The limits of integration are z = 0 to z = 3, x = 0 to x = 1, and y = 0 to y = 7x.

dx dz dy: Integrate first with respect to x, then z, and finally y. The limits of integration are x = 0 to x = 1, z = 0 to z = 3, and y = 0 to y = 7x.

dx dy dz: Integrate first with respect to x, then y, and finally z. The limits of integration are x = 0 to x = 1, y = 0 to y = 7x, and z = 0 to z = 3.

dy dz dx: Integrate first with respect to y, then z, and finally x. The limits of integration are y = 0 to y = 7x, z = 0 to z = 3, and x = 0 to x = 1.

dy dx dz: Integrate first with respect to y, then x, and finally z. The limits of integration are y = 0 to y = 7x, x = 0 to x = 1, and z = 0 to z = 3.

Now, let's evaluate one of the triple integrals, specifically the one with the order of integration dz dy dx:

∫∫∫xyz dz dy dx over the limits z = 0 to 3, y = 0 to 7x, and x = 0 to 1.

By evaluating this triple integral, we can find the numerical value of the integral and hence the answer to the specific computation.

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Answer:

Step-by-step explanation:

The first transformation changes the sign of the x-coordinate. That means a point that was some number of units (3, for example) right of the y-axis will be transformed to a point 3 untis left of the y-axis. It is reflected across the y-axis.

__

The second transformation multiplies each coordinate value by 0.4. A point that was some number of units (3, for example) away from the origin, will be transformed to a point 3×0.4 = 1.2 units from the origin. It is dilated by a factor of 0.4.

__

The third transformation subtracts 8 from the x-coordinate and adds 8 to the y-coordinate. The x-coordinate is a measure of the distance to the right of the y-axis, so subtracting 8 from the x-coordinate means the point is 8 fewer units to the right of the y-axis. It is translated left 8 units.

Similarly, the y-coordinate is a measure of the distance up from the x-axis. Adding 8 to the y-coordinate will move the point 8 more units up from the x-axis. It is translated up 8 units.

The height of the gymnastic mats is \(\dfrac{5 \times \sqrt{3}}{3}\) feet.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

\(\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

As we can see in the below image the gymnastic mats are making the base of the right-angled triangle, therefore,

\(\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

\(Tan (\angle ACB) = \dfrac{Height}{BC}\)

 \(Tan (30^o) = \dfrac{Height}{5\ feet}\)

\(\dfrac{1}{\sqrt{3}} = \dfrac{Height}{5\ feet}\\\\\dfrac{1 \times 5}{\sqrt{3}} = Height\\\\Height = \dfrac{5}{\sqrt{3}}\)

Multiplying √3 with both denominator and numerator,

\(Height = \dfrac{5 \times \sqrt{3}}{\sqrt{3}\times \sqrt{3}}\\\\Height = \dfrac{5 \times \sqrt{3}}{3}\)

Hence, the height of the gymnastic mats is \(\dfrac{5 \times \sqrt{3}}{3}\) feet.

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Answer: B

startFraction 5 StartRoot 3 EndRoot Over 3 EndFraction ft.

Step-by-step explanation:

Answer:

6(x+2y) + 3 + 4y + 5

6x+12y+3+4y+5

Simplified: 6x+16y+8

Step-by-step explanation: