50 POINTS HELP HELP HELP! ALSO AWARDING BRAINLIEST!!!!!!!!
Here is a right pyramid with a rectangular base:



What are the two shapes of cross-sections we could create by slicing the pyramid perpendicular to its base?

Choose 2 answers:

(Choice A)
A
Triangle

(Choice B)
B
Rectangle

(Choice C)
C
Trapezoid

(Choice D)
D
Pentagon

Answer is:

Hannah's net pay is $466.31.

Step-by-step

To calculate Hannah's gross pay, we need to determine her total regular hours and overtime hours worked during the week. Regular hours are hours worked up to 40 hours in a week, and any hours worked over 40 hours are considered overtime hours.

Regular Hours = 8 + 8 + 8 + 8 + 8 + 0 + 0 = 40 hours

Overtime Hours = 3 hours

Hannah's hourly rate is $18/hr, and her gross pay is calculated as follows:

Gross Pay = (Regular Hours x Hourly Rate) + (Overtime Hours x Hourly Rate x 1.5)

Gross Pay = (40 x $18) + (3 x $18 x 1.5)

Gross Pay = $720 + $81

Gross Pay = $801

Now, let's create a pay stub to represent Hannah's gross pay, withholdings and deductions, and net pay.

Pay Stub for Hannah

Pay Period: Week of 10/05/2023

Employee Information:

Name: Hannah

Employee ID: XXXXX

Pay Rate: $18/hr

Withholding Allowances: 1

Earnings:

Regular Hours: 40 hours

Overtime Hours: 3 hours

Gross Pay: $801.00

Deductions:

Federal Withholding Tax: $118.28

Social Security Tax: $49.68

Medicare Tax: $11.63

Health Insurance Premium: $75.00

401(k) Contribution: $80.10

Net Pay: $466.31

The above pay stub shows Hannah's gross pay of $801.00, along with her deductions for federal withholding tax, social security tax, Medicare tax, health insurance premium, and 401(k) contribution. After these deductions, Hannah's net pay is $466.31.

Answer:

Do not ask for free tutoring (Nobody will really do it)

Step-by-step explanation:

Just use Brainly! Ask for questions and explanations and do what you can to get your work done. After that if you need further help then ask a parent/guardian/sibling or someone you know for help and if that doesn't work then come back to this. Hope this helps.

Answer:

\(A(k) = 55k\)

Step-by-step explanation:

Given

\(1kg = P55\)

Required

Determine the cost of k kilogram

\(1kg = P55\)

Multiply both sides by k

\(k * 1kg = P55 * k\)

\(k\ kg = 55 k\)

Representing this as a function:

\(A(k) = 55k\)

Answer: i do not know

Step-by-step explanation:

cause i do not know

Answer:

i dont see the angles but heres how to solve for X

Step-by-step explanation:

This problem is about binomail probabilities, where n = 5, p(girl) = 0.473, p(boy) = 0.527.

The probability of at least one boy is

Answer:  - 17/20

or in decimal form -0.85

hope this helps

Step-by-step explanation:

Answer:

1.89

Step-by-step explanation:

The approximate half life of the substance is 1.90 hours.

Half life of any quantity implies the time at which its value becomes half of the initial value. To calculate it consider an exponentially decaying function which has a decay factor that is the rate of decaying. Then, the half life is calulted as the ratio of ㏒(2) to the decay factor.

Given that,

The initial amount of  radioactive substance is 15 grams.

And, after 3 hours the final amount is 5 grams.

The given problem can be written in the form of exponential decay as,

N = N₀e^(-at)

Where N₀ and N are the initial and final values and a is the decay constant.

Substitute the corresponding values in the above equation to get,

5 = 15e^(-3a)

=> e^(-3a) = 1/3

=> 3a = ln(3)

=> a = ln(3)/3

       = 0.366

Since, the half life is evaluated as 0.693/a.

The half life for the given case is 0.693/0.366 = 1.90

Hence, the half life of the given radioactive substance is 1.90 hours.

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Answer:

p = 5/3m

Step-by-step explanation:

The Ratio of Pineapple juice to mango juice is 3:5. Since you can substitute the variable in, and they have already supplied part of the equation, you can set this equation up:

3p = 5m

divide both sides by 4

p = 5/3m

This tells us that for every cup of Pineapple juice, there is 5/3 cup of mango juice.

Hope this helps!

Brainiest always helps me out :)

Answer:

Step-by-step explanation:

By the property,

"Measure of the intercepted arc is double of the inscribed angle"

m(arc BC) = 2×48°

                = 96°

By using the same property,

m(arc AC) = 2 × m(∠B)

m(∠B) = \(\frac{110}{2}\)

          = 55°

m(∠A) + m(∠B) + m(∠C) = 180° [Triangle sum theorem]

48° + 55° + m(∠C) = 180°

m(∠C) = 180° - 103°

          = 77°

m(arc AB) = 2 × (m∠C)

                = 2×77

                = 154°

Answer:

y = -400

Step-by-step explanation:

y = 350 - 25(x)​

Let x = 30

y = 350 - 25*30

y = 350 - 750

y = -400

Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

Lila's error was that she added -7.13 to 63.97 to get -71.1

Lila steps are as folows

(−7.13 + 63.97) + (−54.8 − 3.4) = −71.1 + (−58.2) = −129.3

In the first bracket, Lila was suppose to subtract 7.31 from 63.97 since there is a negative in front of 7.31.

So, the correct expression should be

(−7.13 + 63.97) + (−54.8 − 3.4) = 56.84 + (−58.2) = 56.84 - 58.2 = −1.36

So, Lila's error was that she added -7.13 to 63.97 to get -71.1

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Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

9 houses

Step-by-step explanation:

45% of 20 is 9 so the answer is 9

Total 9 houses have decoration on Rainbow Street.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Total number of houses on Rainbow Street = 20,

The percentage of the houses which have decorations = 45%

The number of houses which have decoration

= 20×(45/100)

= 9

There are 9 houses that have decorations.

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The range of the given equation is [-1, infinity).

We are given that;

Equation  y= underroot(x+5​)

Now,

The domain of this equation is the set of x values that make the expression under the square root non-negative.

That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).

The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.

Therefore, by the range the answer will be [-1, infinity).

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Answer: B

Step-by-step explanation:

Remember that the steps to solve a system of linear equations (2x2) are:

0. Arrange the equations with like terms in columns.

1. Analyze the coefficients of x or y, and try to eliminate one.

2. Add the equations and solve for the remaining variable.

3. Substitute the value into either equation and solve.

Notice that if we multiply equation 1 by -2 and add it up with equation 2, we'll eliminate x , as following:

Now, we plug in this value in equation 2 and solve for x :

The distance between the two numbers will be 23.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the two numbers are 12 and 35. The distance between the numbers will be:-

Subtract 12 from 35.

Distance = 35 - 12

Distance = 23

Therefore, the distance between the two numbers will be 23.

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Answer:

A. 15

Step-by-step explanation:

The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.

Using the segment addition postulate, The value of x is 15.

The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.

WE have been given the following parameters;

HI = 6x + 8

DJ = 2x - 4

HJ = 124

Then by using  the segment addition postulate,

HI + DJ + HJ

(6x + 8) +(2x - 4) = 124

8x + 4 = 124

8x = 120

x = 15

(6x + 8)  = 6(15) + 8 = 78

(2x - 4)  = 2(15) -4 = 20

Therefore, the value of x is 15.

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9514 1404 393

Answer:

  a) (-7, -2)

  b) 15 square units

Step-by-step explanation:

The slope at x is given by the derivative:

  y' = 3x^2 -10x +3

The slope of the normal is the negative reciprocal of this.

at a(4, -3) the slope of the normal is ...

  ma = -1/y' = -1/((3(4) -10)(4) +3) = -1/11

Then the point-slope equation of the line is ...

  y +3 = -1/11(x -4)

__

at b(1, 0) the slope of the normal is ...

  mb = -1/y' = -1/((3(1) -10)(1) +3) = -1/-4 = 1/4

Then the point-slope equation of the line is ...

  y = 1/4(x -1)

Solving these two equations will give the coordinates of point C.

  (1/4(x -1) +3) = -1/11(x -4)

  11(x -1) +132 = -4(x -4)

  15x = -105

  x = -7

  y = 1/4(-7 -1) = -2

The coordinates of point C are (-7, -2).

__

There are a few ways to find the area of a triangle that is specified by its vertex coordinates. I like the method that involves finding the determinants of pairs of coordinates around the figure. The area is half the absolute value of their sum. This can be made a little easier by listing the coordinates, repeating the first pair:

  a(4, -3)

  b(1, 0)

  c(-7, -2)

  a(4, -3)

Working down the list, the area will be ...

  A = 1/2|(4(0) -1(-3)) +(1(-2) -(-7)(0)) +((-7)(-3) -4(-2))| = 1/2|(0 +3) +(-2 +0) +(21 +8)|

  A = 1/2|30| = 15 . . . . square units

_____

The attached graph finds the intersection of the normals quite easily. The attached spreadsheet does the area calculation from the triangle coordinates. These tools are very handy for problems like this.

Answer:

Step-by-step explanation:

\(Curve:\ y=x^3-5x^2+3x+1\\\\y'(x)=3x^2-10x+3\\A=(4,-3)\\B=(1,0)\\y'(4)=3*4^2-10*4+3=11\\slope\ of\ the\ normal\ in \ A: -\frac{1}{11} \\Equation\ normal\ in \ A:\\y+3= -\frac{1}{11}*(x-4)\ or\ -x-11*y=29\ (1)\\\\y'(1)=3*1^2-10*1+3=-4\\slope\ of\ the\ normal\ in \ B: \frac{1}{4} \\Equation\ normal\ in \ B:\\y-0=\frac{1}{4} (x-1)\ or\ -x+4y=-1\ (2)\\\\Coordinates\ of\ C:\\(1)-(2) ==> y=-2\\(2) ==> x=-7\\\\C=(-7,-2)\\\)

Area of the  triangle ABC:

\(S=\dfrac{|CB|*|CA|*sin(\widehat{ACB})}{2}\\A=(4,-3),B=(1,0),C=(-7,-2)\\AB^2=(4-1)^2+(-3-0)^2=9+9=18\\AC^2=122\\BC^2=68\\\\Using\ Al'Kashi\ theorem:\\AB^2=CB^2+CA^2-2|CB||CA|*cos(\widehat{ACB})\\\\cos(\widehat{ACB})=\dfrac{68+122-18}{2\sqrt{68*122} } =\dfrac{86}{\sqrt{68*122} } \\\\sin^2(\widehat{ACB})=1-cos^2(\widehat{ACB})=1-\dfrac{86^2}{68*122} \\\\S=\dfrac{\sqrt{68} *\sqrt{122}*\sqrt{\dfrac{900}{68*122} }}{2}=15\\\)

Answer:

(x,y)=(0,7.333)

Step-by-step explanation:

We are required to:

Maximize p = x + 2y subject to

The graph of the lines are plotted and attached below.

From the graph, the vertices of the feasible region are:

At (0,7.333), p=0+2(7.333)=14.666

At (4,6), p=4+2(6)=4+12=16

At (0,0), p=0

At (7,0), p=7+2(0)=7

Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).

At x=0 and y=7.333, the function p is maximized.

Answer:

E.

Step-by-step explanation:

The variable that represents this would be both Quantitative and Discrete. This is because since this variable is measuring the amount of days it has a value type which therefore makes it a Quantative variable. Also, since the number of days that mankind has waled the Earth is a finite value, regardless of how large it may be, it would be considered to be a discrete variable. Continuous variables would be something along the lines of "What is the size of the Universe?" because the value of this variable would be neverending since we cannot calculate it.

Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.

11+13+14+16+17+18+20+20+21+24+25+29 = 228

There are 12 numbers, so divide by 12.

228/12 = 19. The mean is 19.

Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.

(Side note: yes, median and mean can be the same.)

Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.

Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.

Answer:

39 years

Step-by-step explanation:

Adapt the formula A = P(1 + r)^n, letting P represent the original population, r the growth rate as a decimal fraction, and n the number of years.

Solve this for n:

2 billion = (1.353 billion)(1 + 0.01)^n

After simplification, we have:

   2

--------- = 1.01^n

1.353

Taking the log of both sides, we get:

log 2 - log 1.353 = n log 1.01, or

log 2 - log 1.353      0.1697

------------------------ = -------------- = 39 years (rounded off from 39.28)

      log 1.01              0.0043

Answer:

hi I had done it.I had done directly.

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: i believe it'll take 6 gallons to fill up the tank two thirds full

Step-by-step explanation: 3 x 1 x 2 = 6 gallons

Dy/dx = (dy/dt)/(dx/dt) denotes the slope of the tangent line of a parametric curve whose parametric equations are x = /(t) and y = g(t). Wherever dy/dt is zero and dx/dt is zero, a parametric curve has a horizontal tangent.

The x and y coordinates are defined as functions of t when parametric form is used to represent angles: Plot the entire circle by using the equations x = r cos t and y = r sin t. Polar equations are the name given to these parametric equations.

The given x=1+12+ dx=dt 0+12(1) =12

Parametric y Curve is as follows: ts-t dy 5t-1 dt z = ts+t dz dt 5t +1 (dz, dy, dz) = (12, 5t-1, St+1) dt 7 dt dt x = 13 =) When, 1+12 t = 13 12

(x(t), y(t), and z(t)) = (13,0,2) + + (12, 4, 6) x(t), y(t), and 2(t)) = (13+12t, ut, 2+ 6+) x(t) = 13+12t, y(t) = ut, 2(t).

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Full Question = Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

x = 1 + 12 t , y = t5 − t, z = t5 + t; (13, 0, 2)

x(t), y(t), z(t) =