What is -0.75 - (-2/3) +0.4 + (-3/4) =

Answer:

Surface Area: 1320

Volume: 2160

Step-by-step explanation:

Before calculating Volume and Surface Area, we need to calculate the missing side of the right triangle using the Pythagoreon theorem: \(a^2+b^2=c^2\)

where c is the hypotenuse, 26.

Substituting the values into the equation you get:

10^2 + b^2 = 26^2

100 +b^2 = 676

Subtract 100 from both sides.

b^2 = 576

b = 24

Now that we have the missing side, we can calculate the rest of the question.

Surface Area =  2(\(\frac{1}2\) × 24 × 10) + (18 × 26) + (18 × 24)  +(18 × 10)

240 + 468 + 432 + 180 = 1320 unit^2

Volume = \(\frac{1}2\) × base × height × length

\(\frac{1}2\) × 24 × 10 × 18 = 2160 unit^2

Brainliest if you don't mind ;)

Answer:

33 degrees

Step-by-step explanation:

This is a right angle, meaning that there is a 90 degree angle. If you know that there is a 57 degree part, then you just have to subtract now.

Since there are 90 degrees, you will subtract 57 from 90. As you subtract, you find that 33 is the difference. Now to check your work, add 33 to 57 to see if it is 90, your full angle.

-------------------------------------------------------------------------------------------------------------

90: Full angle

57: Known part

33: Second part (unknown part until solved.)

----------------------------------------------------------------------------------------------------------

90-57=33

33+57=90

----------------------------------------------------------------------------------------------------------

I hope this helps!

-No one

(a) Yes, T is a linear transformation.

(b) No, T is not a linear transformation.

(c) Yes, T is a linear transformation.

(a) To determine whether T is a linear transformation, we need to check two conditions: additivity and homogeneity. In this case, T(x, y, z) = (x + 1, y + 1, z + 1) satisfies both conditions.

It preserves addition since T(x₁ + x₂, y₁ + y₂, z₁ + z₂) = (x₁ + x₂ + 1, y₁ + y₂ + 1, z₁ + z₂ + 1) = (x₁ + 1, y₁ + 1, z₁ + 1) + (x₂ + 1, y₂ + 1, z₂ + 1) = T(x₁, y₁, z₁) + T(x₂, y₂, z₂). It also preserves scalar multiplication since T(c⋅x, c⋅y, c⋅z) = (c⋅x + 1, c⋅y + 1, c⋅z + 1) = c⋅(x + 1, y + 1, z + 1) = c⋅T(x, y, z). Therefore, T is a linear transformation.

(b) For T to be a linear transformation, it should preserve both addition and scalar multiplication. However, in this case, T(A) = trace(A) = a11 + a22 + · · · + ann only satisfies the condition of preserving addition. It fails to preserve scalar multiplication because T(c⋅A) = c⋅(a11 + a22 + · · · + ann) ≠ c⋅T(A). Hence, T is not a linear transformation.

(c) Similar to part (a), we need to verify additivity and homogeneity for T to be a linear transformation.

T(x, y) = (1 + x, y) satisfies both conditions. It preserves addition since T(x₁ + x₂, y₁ + y₂) = (1 + (x₁ + x₂), y₁ + y₂) = (1 + x₁, y₁) + (1 + x₂, y₂) = T(x₁, y₁) + T(x₂, y₂). It also preserves scalar multiplication since T(c⋅x, c⋅y) = (1 + c⋅x, c⋅y) = c⋅(1 + x, y) = c⋅T(x, y). Therefore, T is a linear transformation.

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The height of the pile is increasing at a rate of approximately 0.056 feet per minute when the pile is 12 feet high.

We are given that sand is falling off at a rate of 14 cubic feet per minute, and the diameter of the base of the cone is approximately three times the altitude. Let h be the height of the pile at a given time t, then we can write the volume of the cone as V = (1/3)πr^2h, where r is the radius of the base of the cone. Since the diameter is three times the altitude, we have r = 3h/2.

Taking the derivative of the volume with respect to time, we get dV/dt = (1/3)π(9h^2/4)(dh/dt). Plugging in the given values, we get:

14 = (1/3)π(9h^2/4)(dh/dt)

Simplifying, we get:

dh/dt = 56/(3πh^2)

When the height of the pile is 12 feet, the rate of change of the height of the pile is:

dh/dt = 56/(3π(12)^2) ≈ 0.056 ft/min.

Therefore, the height of the pile is changing at a rate of approximately 0.056 ft/min when the pile is 12 feet high.

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Answer:

14 ounces

Step-by-step explanation:

you count the tick on the ounce side until it is at the same point as the grams

14 ounces, extra characters

Answer:

300$

I=P×r×t

P= is the principal amount, $6000.00.

r=is the interest rate, 5% per year (you have to put it in decimal form to multiply)

t= is the time involved, which is 1 year

To find interest multiply 6000 × 0.05 × 1

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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The amount of money that each team raised are;

Amount raised by Back Street location = $200

Amount raised by Main Street location = $250

Amount raised by Washington Street = $150

We are told that the main street location raised $50 more than the Back Street location. Thus;

m.s = b.s + 50    ------(eq 1)

The Washington Street location raised $50 more than half the amount raised at the Back Street location. Thus;

w.s = ¹/₂b.s + 50    -------(eq 2)

Total raised = $600. Thus;

m.s + b.s + ws = 600    -------(eq 3)

-----------------------------

Plug in b.s + 50 for m.s and ¹/₂b.s + 50 for w.s in eq 3 to get;

(b.s + 50) + (¹/₂b.s + 50) + b.s = 600

Solve for b.s;

b.s + ¹/₂b.s + b.s + 50 + 50 = 600

(5/2)b.s + 100 = 600

(5/2)b.s = 500

b.s = $200 (amount raised by Back Street location)

m.s = b.s + 50

= 200 + 50

= $250 (amount raised by Main Street location)

w.s = (1/2)b.s + 50

w.s = 100 + 50

w.s = $150 (amount raised by Washington Street)

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Answer: t= 10 c= 1.5

Step-by-step explanation:

CenterWare's direct labor rate variance is $2,100 unfavorable, indicating that the actual rate paid for labor was higher than the standard rate. The direct labor efficiency variance is $2,500 favorable, suggesting that the company achieved higher productivity than expected. The total variance for direct labor is $400 favorable.

To compute the direct labor rate variance, we need to calculate the difference between the actual rate and the standard rate, and then multiply it by the actual hours worked. The formula for the rate variance is (Actual Rate - Standard Rate) × Actual Hours. In this case, the standard rate is $21.00 per hour, and the actual rate is $18.00 per hour. The actual hours worked are 2,500 DLH. Plugging in these values, we find the direct labor rate variance to be ($18.00 - $21.00) × 2,500 = -$7,500, indicating an unfavourable variance.

To calculate the direct labor efficiency variance, we need to find the difference between the actual hours worked and the standard hours allowed, and then multiply it by the standard rate. The formula for the efficiency variance is (Actual Hours - Standard Hours) × Standard Rate. The standard hours allowed are 2,000 DLH (1,000 pots × 2.0 hours per pot). Substituting the values, we get (2,500 - 2,000) × $21.00 = $10,500, indicating a favorable variance.

The total variance for direct labor is the sum of the rate variance and the efficiency variance. In this case, the total variance is -$7,500 + $10,500 = $3,000, which is favorable, indicating that the company performed better than expected in terms of labor cost and efficiency.

The responsibility for the rate variance generally lies with the purchasing department, as they are responsible for negotiating labor rates and purchasing materials at the standard price. The efficiency variance is typically the responsibility of the production department, as they are accountable for achieving the standard labor hours and maximizing productivity.

The rate variance reflects the difference between the actual rate paid for labor and the standard rate. An unfavorable rate variance suggests that the company paid more for labor than anticipated, which could be due to factors like higher wages or inefficient labor management. Conversely, a favorable rate variance would indicate cost savings in labor.

The efficiency variance measures the productivity of labor and represents the difference between the actual hours worked and the standard hours allowed. A favorable efficiency variance implies that the company achieved higher productivity or used fewer labor hours than expected. It could result from factors such as skilled and efficient labor, improved production processes, or effective workforce management.

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Two 6-sided dice are rolled 40 times and the data from each roll is recorded to has 3 even and 3 odd numbers.

Probability of getting even number is

3/6 = 0.5

i.e. 50%

Out of 40 rolls there are 50% chances to get even number. i.e.

50 × 1/100 × 40 = 20

Thus 20 is the answer,

It’s true that the outcome of 20 is the most likely outcome, but is it likely? Actually you’ll only get an outcome of exactly 20 about 12.5% of the time.

57% of the time you’ll get an outcome of 18, 19, 20, 21, or 22.

If you want a range that occurs >95 % of the time, you’ll need to cover 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26.

So, I think it really depends on what exactly you mean by likely.

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Answer:

72=6x+2y

Step-by-step explanation:

Answer:

60 points

Step-by-step explanation:

Every time he earns points we add.

Every time he loses points we subtract.

We can write an equation to resemble the problem and simplify.

45 - 40 + 80 - 25

5 + 80 - 25

85 - 25

60

Best of Luck!

The correct sum of the polynomial is \(\rm 6x^3 + 3x - 6\).

We have to determine

The correct sum of the polynomials.

Sum of the polynomials is just a matter of combining like terms, with some order of operations.

Then,

The correct sum of the polynomial is;

\(\rm (4x^3 - 2x - 9) + (2x^3 + 5x + 3) \\\\ 4x^3 - 2x - 9 + 2x^3 + 5x + 3\\\\ 6x^3 + 3x - 6\)

Hence, the correct sum of the polynomial is \(\rm 6x^3 + 3x - 6\).

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The sampling technique used for this situation is given by:

c) Cluster.

Samples may be classified as:

In this problem, the population is divided into groups, and each element of the groups are survived, hence cluster sampling was used.

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Answer:

X= 55/3 = 18.333

Step-by-step explanation:

Step  1  : Solving a Single Variable Equation : 1.1      

Solve  :    3x-55 = 0

Add  55  to both sides of the equation : 3x = 55

Divide both sides of the equation by 3: x = 55/3 = 18.333

Answer: X= 55/3 = 18.333

Hope i  made your day if not. Then what is wrong with your life.    :)

Answer:

\(x = 18.33\)

Step-by-step explanation:

\(3x + 13 = 68 \\ 3x = 68 - 13 \\ 3x = 55 \\ \frac{3x}{3} = \frac{55}{3} \\ x = 18 .33\)

hope this helps

brainliest appreciated

good luck! have a nice day!

The factor 1.5 determines the degree of dilation, which can be greater than 1 (expansion) or less than 1 (contraction).

The rule to describe the transformation "n t s o dilation of 1.5" is that every point in the original figure is expanded by a factor of 1.5. This means that the image of the figure will be 1.5 times larger than the original figure. Therefore, the correct option is dilation of 1.5.What is dilation?In geometry, dilation is a transformation that resizes or expands an original figure to produce a similar figure. Dilation is a type of transformation that changes the size of an object. In dilation, the shape of the object remains the same, but the size changes.What is the rule to describe the dilation of 1.5?The rule to describe the dilation of 1.5 is that each point in the original figure is multiplied by a scale factor of 1.5. This implies that each coordinate of the original figure must be multiplied by 1.5 to obtain the new coordinates of the dilated figure. Let (x, y) be a point on the original figure. The new coordinates (x', y') of the corresponding point on the dilated figure can be obtained using the following formulas:x' = 1.5x y' = 1.5yThe new figure is a scaled version of the original figure with the same shape and orientation, but a different size. The factor 1.5 determines the degree of dilation, which can be greater than 1 (expansion) or less than 1 (contraction).

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Answer:

The formula for perimeter is 2l+2w, where l is the length and w is the width.

The formula for area is lw, where l is the length and w is the width.

We can say that the cartesian product is not commutative for r and s because r × s ≠ s × r.

What is meant by cartesian product?

The set of all ordered pairs of the sets is the cartesian product of two or more sets. Set theory is where it is used the most frequently. A pair of items that are an ordered pair have one element assigned first and the other element assigned second. The set of all ordered pairs (a, b) with the first element from C and the second element from D is the cartesian product C × D,  if C and D are two non-empty sets. We denote the cartesian product between two sets using the same multiplication sign as we do for the other product operations, which is ×.

Given:

r = {1,2,3}

s = {3,4}

We first find the cartesian product r×s

In this, the resulting ordered pair will have x values from r.

The cartesian product = {(1,3) , (1,4) , (2,3), (2,4), (3,3), (3,4)}

Now we find the cartesian product  s×r

The cartesian product = {(3,1) , (3,2) , (3,3), (4,1), (4,2), (4,3)}

We can see that both r×s and s×r do not have the same ordered pairs.

Therefore we can say that the cartesian product is not commutative for r and s because r × s ≠ s × r.

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Answer:false

Step-by-step explanation:

The distributed computation (e, →) is said to be consistent if all computations lead to the same result, regardless of the order in which the steps are performed.

Let g and h be consistent cuts of a distributed computation (e, →).

We must demonstrate that g ∪ h and g ∩ h are also consistent cuts of (e, →).

Let R be the set of events that are in both g and h. If we remove R from either g or h, we get a consistent cut since the removed events cannot cause a change in the outcome.

By removing R from both g and h, we obtain two new consistent cuts: g − R and h − R.

Thus, we can write:g = (g − R) ∪ R and h = (h − R) ∪ R. Since (g − R) and (h − R) are consistent cuts, it follows that their union, g ∪ h, is also a consistent cut. I

f we let S be the set of events that are in both g and h, then we can write:g = (g ∩ h) ∪ (g − S) and h = (g ∩ h) ∪ (h − S).

Again, (g − S) and (h − S) are consistent cuts, so their intersection, g ∩ h, is also a consistent cut.

Therefore, if g and h are consistent cuts of a distributed computation (e, →), then so are g ∪ h and g ∩ h.

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Answer:

18%

Step-by-step explanation:

15.00 divided by 100 = .15

.15 x 1.20 for the tax = .18

therefore 18%

Answer:

The tax increase is 8%

Step-by-step explanation:

16.20 - 15.00 = 1.2

1.2 / 15.00 = 0.08

0.08 x 100 = 8%

Have a wonderful day!

(Sorry if its incorrect.)

Question:

In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The  longest and the shortest days of the year vary by 2 hours 53 minutes from the equinox.  In this year, the equinox falls on March 21. In this task, you'll use a trigonometric function  to model the hours of daylight hours on certain days of the year in New York City.

- Find amplitude and the period of the function

- Create a trigonometric function that describes the hours of sunlight for each day of the year

- Then use the function you built to find how fewer daylight hours February 10 will have then March 21

Answer:

(a)

\(A = 2.883\)  --- Amplitude

\(T = 365\) ---- Period

(b) Trigonometry function

\(f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])\)

(c) \(Hours= 1.794\)

Step-by-step explanation:

Given

\(Average\ Sunlight = 12hr\ 8 min\)

\(Variance = 2hr\ 53min\)

Solving (a): Amplitude (P) and Period (T)

The amplitude is the amount of time the longest and the shortest day vary.

So

\(A = 2\ hr\ 53\ min\)

Convert to hours

\(A = 2\ + \frac{53}{60}\)

\(A = 2+0.883\)

\(A = 2.883\)

The period (T) is the duration i.e 1 year

\(T = 1\ year\)

Assume no leap year

\(T = 365\)

Solving (b): Trigonometry function

The function follows a sinusoidal pattern and the general form is:

\(f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))\)

Where

\(\mu = Average\ Value\)

\(\mu = 12\ hr 8\ min\)

Convert to hours

\(\mu = 12 + \frac{8}{60}\)

\(\mu = 12 + 0.133\)

\(\mu = 12.133\)

\(A = 2.883\)  --- Amplitude

\(T = 365\) ---- Period

\(n = Equinox\)

\(n = March\ 21\)

\(March\ 21st = 80th\ day\)

So:

\(n= 80\)

The function becomes:

\(f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))\)

\(f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])\)

Solving (c): Fewer daylight hours will Feb. 10 have.

\(Feb\ 10 = 41st\ day\)

So:

\(f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])\)

\(f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[41 - 80])\)

\(f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[-39])\)

\(2\pi = 360^\circ\)

So:

\(f(41) = 12.133 + 2.883sin(\frac{360}{365}[-39])\)

\(f(41) = 12.133 + 2.883sin(-38.466)\)

\(f(41) = 12.133 - 2.883*0.6221\)

\(f(41) = 10.339\)

The fewer daylight hours is the calculated as:

\(Hours= Average - f(41)\)

\(Hours= \mu - f(41)\)

\(Hours= 12.133 - 10.339\)

\(Hours= 1.794\)

To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.

To find g(-2), substitute -2 for x in the equation

g(x) = -4x² - 5x + 9 to get

g(-2) = -6 + 9g(-2)

We are given three functions as follows:

f(x) = (1/3)x - 5, g(x)

= -4x² - 5x + 9, and

h(x) = 1/(x - 8) + 3.

We are asked to find g(-2), which is the value of g(x) when x = -2.

Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get

g(-2) = -4(-2)² - 5(-2) + 9.

This simplifies to g(-2) = -16 + 10 + 9 = -6.

Hence, g(-2) = -6.

The value of g(-2) is -6.

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Answer:

B

Step-by-step explanation:

You cannot have two or more domains.

'

3 appears twice and is located in the x axis, which is basically the domain.

Hope this helps

Answer: B

a and c are both functions and b is not.

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Answer:

1=a4+3

Step 1: Subtract a^4+3 from both sides.

1−(a4+3)=a4+3−(a4+3)

−a4−2=0

Step 2: Add 2 to both sides.

−a4−2+2=0+2

−a4=2

Step 3: Divide both sides by -1.

−a4

−1

=

2

−1

a4=−2

Step 4: Take root.

a=±(−2)(

1

4

)

Answer:

No real solutions.

Answer:

Step-by-step explanation:

They are both 25.

Why because in a 45, 45, 90 triangle the formula to find the three sides is a, a, a√2.

Answer:

about 11 boys were on the track team last year.