(50 points + Brainliest) Create an equivalent expression that includes a set of parentheses that make the value of the expression 13. Remember, you can have 2 or more numbers within the set of parentheses.

Answer: The value of Angle F = 47

Step-by-step explanation:

The correct answer is option c. $0.79

As per the question:

No. of pea cans in a case = 18 cans

Weight of each can of peas = 12 ounces

Price of a case of peas = $14.22

The information regarding the weight of each can is redundant in this question and therefore, is not used for solving the question

Therefore, the formula to be used for solving:

Price per unit can of peas= (Price of a case of peas/No of pea cans in a case)

Price per unit can of peas= ($14.22/18)

The price per unit can of peas= $0.79

Hence, option c is the correct answer

Learn more about cost and pricing:

https://brainly.com/question/19075809

#SPJ4

a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

Learn more about subspace

brainly.com/question/30318872

#SPJ11

The evaluated integral ∫(x - yz - 2) ds is equal to √(2) * [t²/2 - 3t] + C, where C is the constant of integration.

Let's denote the parametric equations for the line segment as follows: x = x(t) y = y(t) z = z(t)

Since we are given the points (0, 1, 1) and (1, 0, 1) as the endpoints of the line segment, we can determine the equations for x(t), y(t), and z(t) by interpolating between these two points.

For the x-coordinate, we observe that it varies linearly from 0 to 1 as t ranges from 0 to 1. Therefore, we can set: x(t) = t

For the y-coordinate, it decreases linearly from 1 to 0 as t increases from 0 to 1. Hence, we have: y(t) = 1 - t

The z-coordinate remains constant at 1 throughout the line segment, so we can set: z(t) = 1

The arc length ds can be calculated using the formula:

ds = √(dx/dt² + dy/dt² + dz/dt²) dt

To find dx/dt, dy/dt, and dz/dt, we differentiate the parametric equations x(t), y(t), and z(t) with respect to t, respectively.

dx/dt = 1 dy/dt = -1 dz/dt = 0

Now we substitute these derivatives into the arc length formula to get: ds = √(1² + (-1)² + 0²) dt ds = √(2) dt

Finally, we can rewrite the integral in terms of t and substitute the expression for ds: ∫(x - yz - 2) ds = ∫(t - (1 - t) * 1 - 2) √(2) dt = ∫(t - 1 + t - 2) √(2) dt = ∫(2t - 3) √(2) dt

To evaluate this integral, we can integrate term by term:

= √(2) * [t²/2 - 3t] + C

To know more about integral here

https://brainly.com/question/18125359

#SPJ4

Answer:

the answer would be 0 it has no slope

Step-by-step explanation:

Time-series plots are used for several reasons:

B. Time-series plots are used to identify any outliers in the data.

C. Time-series plots are used to identify trends in the data over time.

D. Time-series plots are used to present the relative frequency of the data in each interval or category.

First, we need to know that quantitative variable is required when drawing a time-series plot.

We need to also know that data points are graphically represented as time-series plots, with the variable of interest drawn on the y-axis and time commonly depicted on the x-axis. They demonstrate the variable's evolution over time.

Learn more about time-series plots at: https://brainly.com/question/29654037

#SPJ1

A box with a square base and a top is to be constructed from 10 square meters of material. 40 square meters will maximize the volume that the box can hold.

LSD use among secondary school understudies is a specific concern. More Volume is a proportion of consumed three-layered space. It is frequently evaluated mathematically utilizing SI inferred units or by different supreme units. Volume is characterized as the space involved inside the limits of an article in three-layered space. It is otherwise called the limit of article. Volume is a proportion of consumed three-layered space. It is frequently measured mathematically utilizing the SI determined unit, the cubic meter. The volume of a compartment is by and large comprehended to be the limit of the compartment, how much liquid (gas or fluid) that the holder could hold, instead of how much space the actual holder dislodges. Three layered numerical shapes are additionally relegated volumes.

Learn more about volume, refer:

https://brainly.com/question/28027357

#SPJ4

The solution of the given differential equation is given by:\(`2e^(cos(x+y^(2))) × e^(y^2/2 - y) × [cos(x+y^(2)) - 2y - 1] + e^(cos(x+y^(2))) × e^(y^2/2 - y) × (y^2 - 2y - 1) = 14e^(3x+y^2/2 - y) - 13 + e^(cosx)`\)

We have to solve the above differential equation using an integrating factor. Let us consider the integrating factor `I` such that,`\(I = e^(∫(2ysin(x+y^(2))+y-1)dy)`\)Then we have,\(`I = e^(∫(2ysin(x+y^(2)))dy) × e^(∫(y-1)dy)` `I = e^(cos(x+y^(2))) × e^(y^2/2 - y)`\)Multiplying both sides of the differential equation by the integrating factor `I` we get,\(`(e^(cos(x+y^(2))) × e^(y^2/2 - y) × sin(x+y^(2)))dx + (e^(cos(x+y^(2))) × e^(y^2/2 - y) × (y-1))dy = 7e^(3x+y^2/2 - y)dx\)`We can now write the above differential equation in the exact form. The general solution of this differential equation is given by:\(`∫[e^(cos(x+y^(2))) × e^(y^2/2 - y) × sin(x+y^(2))]dx + ∫[e^(cos(x+y^(2))) × e^(y^2/2 - y) × (y-1)]dy = C+ 7e^(3x+y^2/2 - y)`\) where C is the constant of integration.

The first integral will give:`\(e^(cos(x+y^(2))) × e^(y^2/2 - y) × [cos(x+y^(2)) - 2y - 1] + f(y)`where `f(y)`\)is the constant of integration with respect to `x`. Differentiating this w.r.t `y` we get, \(`∂f(y)/∂y = e^(cos(x+y^(2))) × e^(y^2/2 - y) × [2y - 1]`Solving for `f(y)` we get,`f(y) = ∫[e^(cos(x+y^(2))) × e^(y^2/2 - y) × (2y - 1)]dy``f(y) = e^(cos(x+y^(2))) × e^(y^2/2 - y) × [y^2 - 2y - 1]/2 + C1`\)where `C1` is the constant of integration with respect to `y`. Substituting the value of `f(y)` in the general solution we get,\(`e^(cos(x+y^(2))) × e^(y^2/2 - y) × [cos(x+y^(2)) - 2y - 1] + e^(cos(x+y^(2))) × e^(y^2/2 - y) × [y^2 - 2y - 1]/2 + C = 7e^(3x+y^2/2 - y)`\)

Simplifying the above equation, we get\(,`2e^(cos(x+y^(2))) × e^(y^2/2 - y) × [cos(x+y^(2)) - 2y - 1] + e^(cos(x+y^(2))) × e^(y^2/2 - y) × (y^2 - 2y - 1) + C = 14e^(3x+y^2/2 - y)`\)Now, substituting `y = 0` we get,\(`e^(cosx) - 1 + C = 14` or `C = 13 - e^(cosx)`\)Therefore, the solution of the given differential equation is given by:\(`2e^(cos(x+y^(2))) × e^(y^2/2 - y) × [cos(x+y^(2)) - 2y - 1] + e^(cos(x+y^(2))) × e^(y^2/2 - y) × (y^2 - 2y - 1) = 14e^(3x+y^2/2 - y) - 13 + e^(cosx)`\)This is the required solution.

learn more about differential equation

https://brainly.com/question/32524608

#SPJ11

Answer:

B. f(x) = -x + 2

Step-by-step explanation:

First, you find the point on the y-axis which is (0,2) in this problem.

This will be your b in y = mx+ b

Then, you'll find how many blocks you are moving or rise over run. Which is -1/1 or -1.

This will be your m in y = mx + b

But we don't write the 1 so it will just be -x

Now add all your numbers in the standered form (y = mx + b) to get y = -x + 2 or f(x) = -x + 2

Answer:

StartFraction 5 over 3.5 EndFraction = StartFraction 12 over x EndFraction

or \(\frac{5}{3.5}\) = \(\frac{12}{x}\)

Step-by-step explanation:

Answer:

it’s D

Step-by-step explanation:

Francis made an error in writing the explicit formula. The correct formula should be an = 4 * (1/4)⁽ⁿ⁻¹⁾, not an = 4 * (1/4)ⁿ⁻¹. The exponent should be (n-1), not just n, to correctly represent the sequence where the second term is 8 and the fourth term is 2.

To determine the error in Francis' formula, we need to apply it to the known terms of the sequence and see if it produces the correct values. For example, for the second term, n = 2, so using Francis' formula:

an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)¹ = 4 * 1/4 = 1

But the second term of the sequence is 8, not 1. So the formula is incorrect.

Similarly, for the fourth term, n = 4, so using Francis' formula:

an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)³ = 4 * 1/64 = 1/16

But the fourth term of the sequence is 2, not 1/16. So the formula is still incorrect.

Therefore, we can conclude that the formula written by Francis is not correct and needs to be corrected to accurately describe the sequence.

Learn more about Explicit Formula Error Correction here:

https://brainly.com/question/14072492

#SPJ4

Answer:

f(-2)=31

Step-by-step explanation:

f(x)=-x²-8x+19

f(-2)=-(-2)²-8(-2)+19

=-(-2*-2)+16+19

=-4+35

=31

f(-2)=31√

The number of ways can the program for this segment be arranged is 1680.

Given that, for a segment of a radio show, a disc jockey (Dr. Jams) can play 4 songs. If there are 8 to select from.

We know that, nPr= n!/(n-r)!

Here, 8P4 = 8!/(8-4)!

= 8×7×6×5×4!/4!

= 8×7×6×5

= 1680

Therefore, the number of ways can the program for this segment be arranged is 1680.

To learn more about the permutation visit:

https://brainly.com/question/3867157.

#SPJ1

Answer:

volume = 14,137

Step-by-step explanation:

radius is the diameter divided by 2

30÷2=15

radius = 15 then square

15^2 = 225

formula of volume of a cone is 1/3*pi*raduis^2*the height

1/3(3.14)(225)(60)= 14,137

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

The volume of the cone is given by;

\(\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\ r = radius \ and \ h = height\)

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

The radius of the cone is;

\(\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15\)

Substitute all the values in the formula

\(\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume \ of \ cone=14130\)

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.

Learn more about the volume of cone here;

https://brainly.com/question/3013784

#SPJ2

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

Answer:

a

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

To figure out if a set of angles are in a triangle, make sure they add up to 180

F) 58,70,62                 58 + 70 + 62 = 190      This option is incorrect

G) 41,68,71                   41 + 68 + 71 = 180       This option is correct

H) 68,60,52                68 + 60 + 52 = 180    This option is correct

J) 73,42,65                  73 + 42 + 65 =  180     This option is correct

Since option F did not equal 180, F is the answer.

Each side of the hexagon is about 105.219 ft².

The area of the seating section is about 631.315 ft².

The area of the entrance and seating section combines is about 46.764ft².

The area of the entrance is about 678. 078ft².

The territory occupied by a hexagon within its six sides is referred to as its area. A hexagon is a polygon with six line segments and six internal angles.

ΔCJX =  0 X = 1/2 (A F - A O)

= 1/2 (30-3)

= 13.5ft

cx = 15.558ft = CJ (Sides)

Hence: each side of the hexagon is: 1/2 CJ  x OX  = 105.219 ft².

The area of the seating section is:

6 ( Each side of the hexagon )

=  6 x 105.219 ft².

631.315 ft².

The area of the entrance and seating section combined is:

CJ x AO = 46.764ft².

The area of the entrance is:

631.315 ft²+ 46.764ft².

= 678. 078ft².

Hence, each side of the hexagon is about 105.219 ft².

The area of the seating section is about 631.315 ft².

The area of the entrance and seating section combines is about 46.764ft².

The area of the entrance is about 678. 078ft².

Learn more about hexagons from

brainly.com/question/3812956

#SPJ1

Answer:

15 ft long

600 ft squared

30 ft squared

630 ft squared

Step-by-step explanation:  Good luck fellow "PLATOers"

Answer:

rsv and rsq

Step-by-step explanation

If r is < 0, then lambda must be:  Less than 0, Less than 1, Greater than 1  and Greater than 0. The correct answers are: A), B), C), and D).

Recall that the exponential growth or decay model is given by the function:

\(y = y0 * e^(rt)\)

where y0 is the initial value of the function, r is the rate of change (growth or decay), t is the time, and e is the mathematical constant approximately equal to 2.71828.

If r < 0, then the function represents exponential decay, and we have:

\(y = y0 * e^(rt)\)

y/y0 = e^(rt)

Taking the natural logarithm of both sides, we get:

ln(y/y0) = rt

r = (1/t) * ln(y/y0)

Since ln(y/y0) is the natural logarithm of a ratio, it can take any real value. Therefore, r can take any negative value, and there is no restriction on the value of lambda (which is\(e^r\)).

So, the correct answers are: A), B), C), and D).

To know more about lambda refer to-

https://brainly.com/question/31390865

#SPJ11

If at least 3 of 4 balls must be blue then the number of possible selections = 462

Let us assume that m represents the number of red balls in a bowl.

So, m = 7

And n  represents the number of blue balls in a bowl.

So, n = 8

A woman selects 4 balls at random from the bowl.

We need to find the number of possible selections if at least 3 balls must be blue.

The first combination would be 4 blue balls + 0 red balls

And the second combination would be 3 blue balls + 1 red ball

so, using combination formula the number of possible selecctions:

(⁸C₄ × ⁷C₀) + (⁸C₃ ×  ⁷C₁)

= (70 × 1) +(56 × 7)

= 462

Therefore, the number of possible selections: 462

Learn more about combination here:

https://brainly.com/question/28720645

#SPJ4

Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

Answer:

acute triangle

Step-by-step explanation:

It can be estimated that the total amount of water that Mr. Thando used is 40 Kiloliters. See the arithmetic calculation/ explanation below and the reconstructed table attached.

The approximate amount of water that he has been charged for will be given as follows:

The maximum fee for Band A + Maximum fee for Band B + Maximum fee for Band C.

Which is: (0) + (6.36 *14) + (7.98*20) = R248.64

Recall that the total amount he was charged is R281.27.

Hence, because the question does not include the percentage of VAT payable, and the referenced table is unavailable, we are forced to assume that the difference between the amount paid and our calculations above is the VAT.

This figure (that VAT)  is: R281.27 - R248.64 = R32.63

Hence, the total amount of water used by Mr. Thando is: 6 + 14 + 20 = 40Kl

Learn more about arithmetic calculation at:
https://brainly.com/question/4721701

#SPJ1

Answer: x = -9

Step-by-step explanation:1

Combine like terms

2 Add the numbers

3 Rearrange terms

4 Subtract 14 from both sides

5 Simplify

6 Add x to both sides

7 Simplify

8 Divide both sides by the same factor

9 Simplify

If this helped you please consider marking this as the Brainliest Answer, if i make it to 10, I can be promoted to an expert. Thank you!

Answer:

x= -9

Step-by-step explanation:

Simplify  3x+14 -6x to -3x +14

Simplify 25−x+7  to  32−x32−x.

Add 3x3x to both sides.

Simplify  32−x+3x32−x+3x  to  32+2x32+2x.

Divide both sides by 22.

Simplify  18/2 to  99.

x=−9 is your final answer

Answer:b

Step-by-step explanation:

To evaluate the integral by reversing the order of integration, we first need to draw the region of integration. From the given limits of integration, we can see that the region is a rectangle with vertices at (0,4), (0,12), (11,4), and (11,12).

Now, we can reverse the order of integration by integrating with respect to y first, and then x. The new limits of integration will be y = 4 to y = 12 and x = 0 to x = 11e^(2y/3).

So, the new integral will be:

∫(0 to 11) ∫(4 to 12) 3y e^(2x/3) dy dx

We can evaluate this integral using integration by parts. Integrating with respect to y gives us:

∫(0 to 11) [3y^2/2 e^(2x/3)] from y = 4 to y = 12

Simplifying this expression gives us:

∫(0 to 11) [36e^(2x/3) - 6e^(8x/3)]/2 dx

Now, integrating with respect to x gives us:

[27e^(2x/3) - 9e^(8x/3)] from x = 0 to x = 11

Substituting these values and simplifying gives us the final answer:

(27e^22/3 - 9e^88/3) - (27 - 9) = 27e^22/3 - 9e^88/3 - 18

To know more about integration visit:

https://brainly.com/question/31744185

#SPJ11

Answer:

There is only one solution.  
The solution is -7

Step-by-step explanation:

x - 3 = -10   Add 3 to both sides

x - 3 + 3 = -10 + 3

x = -7

Helping in the name of Jesus.

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

To learn more about Congruence visit: brainly.com/question/12413243

#SPJ4

Answer:

Option C

20, 21, 29 represents three sides of a right triangle

Step-by-step explanation:

By Using Pythagorean Triplet we can say that

20, 21, 29 represents three sides of a right triangle

(20)² + (21)² = (29)²

400 + 441 = 841

841 = 841

Thus, 20, 21, 29 represents three sides of a right triangle

-TheUnknownScientist