There are 199 pink candies in the box of Nerds calculated on the basis of given information.
To find out, you first need to add the ratio of pink and purple candies, which is 19+20=39. Then, divide the total number of candies by the sum of the ratio to find the value of one unit of the ratio, which is 429/39 = 11.
Then, multiply the value of one unit of the ratio by the value of the pink candies, which is 19, to find the number of pink candies, which is 11 x 19 = 209. Therefore, there are 209 purple candies in the box.
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2. Write down the supplementary angle of each of the following angles are 105 degree.
Answer:
75
Step-by-step explanation:
Answer:
75°Step-by-step explanation:
Supplementary angles add up to 180°.
The angle x, supplementary with 105°:
x + 105° = 180°x = 180° - 105°x = 75°the sum of k and 6 is less than 13
Answer:
k+6<13 k<7 .....................
Tamarisk company began operations on january 2, 2019. It employs 9 individuals who work 8-hour days and are paid hourly. Each employee earns 9 paid vacation days and 7 paid sick days annually. Vacation days may be taken after january 15 of the year following the year in which they are earned. Sick days may be taken as soon as they are earned; unused sick days accumulate. Additional information is as follows. Actual hourly wage rate vacation days used by each employee sick days used by each employee 2019 2020 2019 2020 2019 2020 $6 $7 0 8 5 6 tamarisk company has chosen to accrue the cost of compensated absences at rates of pay in effect during the period when earned and to accrue sick pay when earned
The total cost of compensated absences for Tamarisk Company for the years 2019 and 2020 was $348 + $1,399 = $1,747.
To calculate the cost of compensated absences for Tamarisk Company, we need to calculate the number of vacation days and sick days earned by the employees in 2019 and 2020, and then calculate the cost of the days earned but not taken.
Each employee earns 9 vacation days per year. As they can be taken after January 15th of the year following the year in which they are earned, the vacation days earned by the employees in 2019 can be taken in 2020. Therefore, in 2019, no vacation days were taken by any employee.
In 2020, the employees took a total of 8 vacation days. As there are 9 employees, the total vacation days taken in 2020 were 9 x 8 = 72.
Sick Days:
Each employee earns 7 sick days per year, and unused sick days accumulate. In 2019, the employees used a total of 5 sick days. Therefore, the unused sick days at the end of 2019 were 9 x 7 - 5 = 58.
In 2020, the employees used a total of 6 sick days, and the unused sick days at the end of 2020 were 58 + 9 x 7 - 6 = 109.
To find the cost of compensated absences. The unused sick days and vacation days must be multiplied to get the hourly wage rate in effect in a year.
In 2019, the cost of compensated absences was 58 x $6 = $348.
In 2020, the cost of compensated absences was (72 + 109) x $7 = $1,399.
Therefore, the total cost of compensated absences for Tamarisk Company for the years 2019 and 2020 was $348 + $1,399 = $1,747.
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Si A es tu edad, la tasa de pulsos máxima que deberías mantener durante actividades aeróbicas es de 0.88 (220-A). ¿Cúal es la tasa de pulsos máxima que deberías mantener si tú estuvieras en el rango de los 20 años?
Respuesta:
176
Explicación paso a paso:
Dado :
La frecuencia máxima del pulso que se debe mantener durante las actividades aeróbicas viene dada por:
0,88 (220-A); donde A = edad
Para una persona de 20 años
Supongamos que la edad es de 20 años; A = 20
Poniendo A = 20 en la ecuación;
0,88 (220 - A); A = 20
Frecuencia de pulso máxima:
0,88 (220 - 20)
0,88 (200)
= 176
La frecuencia de pulso máxima es 176
Twenty-seven solid gold spherical beads each of radius 3 are melted down and recast into a larger, solid gold sphere. How many units are in the radius of this larger gold sphere
===================================================
Explanation:
Let's calculate the volume of one small spherical bead
V = (4/3)*pi*r^3
V = (4/3)*pi*3^3
V = 36pi
The volume of 27 such identical beads is 27*36pi = 972pi cubic units.
----------
This is the new volume and we'll use this to find the radius r of the larger sphere.
V = (4/3)*pi*r^3
972pi = (4/3)*pi*r^3
3*972pi = 4pi*r^3
2916pi = 4pi*r^3
r^3 = (2916pi)/(4pi)
r^3 = 729
r = (729)^(1/3)
r = 9 units is the radius of the larger gold sphere
What is the volume of a hemisphere with a radius of 44. 9 m, rounded to the nearest tenth of a cubic meter?.
The volume of a hemisphere with a radius of 44.9 m is approximately 189582.2 cubic meters, rounded to the nearest tenth.
To calculate the volume of a hemisphere, you can use the formula
V = (2/3)πr^3
where V is the volume, π is pi (approximately 3.14), and r is the radius. In this case, r = 44.9 m.
So, (2/3)π(44.9)^3 = 189582.234 cubic meters.
This is the exact volume, but since the question asked for the volume rounded to the nearest tenth, the final answer would be 189582.234 cubic meters. It's worth mentioning that a hemisphere is half of a sphere, thus, the volume of a full sphere with a radius of 44.9 m would be double of this value.
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Solve for the area of the square.
Answer:
area of square = 10 x 10 = 100 cm²
area of circle = πr² = (3.14)(5²) = 78.5 cm²
area of shaded portion = 100 - 78.5 = 21.5 cm²
Answer:
The area is \(21.5 cm^2\)(if no need to round)
The area is \(22 cm^2\)(if need to round to nearest whole number)
Step-by-step explanation:
10 x 10 = 100
5 x 5 x π = 25 π
25 x 3.14 = 78.5
100 - 78.5 = 21.5
digits of pi:3.14...
Can someone help me with this one :)
Answer:
c
correct me if I'm wrong
Dylan is 6 years younger than Briana. Briana's age can be represented by x. Write an expression representing Dylan's age.
A) 6 - x
B) x - 6
C) x + 6
D) 6 × x
Answer:
B) x-6
Step-by-step explanation:
Dylan is 6 years younger so you take away (subtract) from Briana's age (x)
Answer:
x-6
Step-by-step explanation:
Briana =x
Dylan =x-6
Briana's age is considered more because accoding to the statement Dylan is 6yrs younger so choice a is incorrect because we should subtract 6 from x the explanation x-6 is correct
Compare the functions shown below:
Which function has the greatest maximum y-value?
Answer:Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)
Step-by-step explanation:
question 2 Help plssss
Answer:
11
9.6
Step-by-step explanation:
absolute value makes the number positive.
you randomly draw twice from this deck of cards 1, 4, 2, 3, 4 what is the probability of not drawing a 4, then not drawing a 4 , without replacing the first card?
Answer:
2/5
Step-by-step explanation:
i think are there chooses
For a project in her Geometry class, Nakeisha uses a mirror on the ground to measure the height of her school building. She walks a distance of 8. 65 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. She then steps 1. 65 meters to the other side of the mirror, until she can see the top of the school clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1. 25 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
Please help
The height of the school building is 12.34 meters, rounded to the nearest hundredth of a meter.
Nakeisha's method of using a mirror on the ground to measure the height of her school building is based on the principles of similar triangles. When she places the mirror on the ground and steps away from it, she creates two triangles, one from her eyes to the mirror and the other from the mirror to the top of the school building. These two triangles are similar, which means that they have the same shape but different sizes.
To find the height of the school building, we need to use the ratios of the corresponding sides of the two similar triangles. Let's call the height of the school building "h". Then, the distance from Nakeisha's eyes to the mirror is (1.25 + 1.65) = 2.9 meters, and the distance from the mirror to the school building is (8.65 - 1.65) = 7 meters.
Using the ratios of the corresponding sides, we can set up the proportion:
h/7 = 2.9/1.65
Cross-multiplying and solving for h, we get:
h = 7 x (2.9/1.65) = 12.34 meters
It's important to note that this method of measuring height using a mirror on the ground assumes that the ground is flat and level. If there are any slopes or uneven surfaces, the results may be inaccurate. Additionally, it's crucial to take all necessary safety precautions when conducting any measurements from heights or near busy roads.
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How do I solve this question ?
Step-by-step explanation:
here you go!
so basically x = 9 cars
what is the coefficient of x2 in the taylor series for sin2x about x=0? responses
The coefficient of x² in the Taylor series for sin²x about x=0 is 1
If a Taylor Series is centred at 0, then the series is known as the Maclaurin series.
Maclaurin series is given by f(x) = \(\text{\Large$ \Sigma$}\limits^{\infty}_{k=0} \frac{f^{(k)}(a)}{k!}x^k\)
f(x) = sin²x
We need coefficient of x², let us take n=5
f(x) = \(\text{\Large$ \Sigma$}\limits^{\infty}_{k=0} \frac{f^{(k)}(a)}{k!}x^k\)
f^0(x) = sin²x => f^0(0) = 0
f^1(x) = 2 sinx cosx => f^1(0) = 0
f^2(x) = -2 sin²x + 2 cos²x => f^2(0) = 2
f^3(x) = -8 sinx cosx => f^3(0) = 0
f^4(x) = 8 sin²x - 8 cos²x => f^4(0) = -8
f^5(x) = 32 sinx cosx => f^5(0) = 0
f(x) = 0(x^0) + 0(x^1) + (2/2!)(x^2) + (0/3!)(x^3) + (-8/4!)(x^4) + (0/5!)(x^5)
f(x) = x^2 - (1/3)x^4
We can see that the coefficient of x² is 1.
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of all the rectangles with a perimiter of 112 feet, find the dimensions of the one with the largest area. a) 283 ft. x 1403 ft. b) 7 ft. x 49 ft. c) not possible d) 14 ft. x 42 ft. e) 28 ft. x 28 ft.
The correct option is (e): the dimensions of the one with the largest area 28 ft. x 28 ft.
let l be the length of rectangle and
w be the width of rectangle
given perimeter 112
i.e. 2 (l + w) = 112
l + w = 56
then l = 56 - w
area A = l w
= w (56 - w)
A' = 56 – 2 w
for critical point A' = 0, then
56 – 2 w = 0
w = 28,
then l = 56 - w = 56 - 28 = 28
l × w = 28 × 28
a perimeter is a direction that surrounds a two-dimensional shape. The word comes frae the Greek peri (around) a meter (measure). The time period may be used both for the direction or its length - it can be thought o because the length o the outline o a form. the perimeter of a circle or ellipse is cried its circumference.
Calculating the perimeter has widespread realistic packages. the fringe may be used tea calculate the length o fence required tea surround a yard or garden. the perimeter of a wheel (its circumference) describes Hou far it's going to roll in a revolution. similarly, the amount o string wound around a spoil is related tea the spoil’s perimeter.
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difer from the true proportion by more than 2% ? A previous study indicates that the proportion of lefthanded sclontists is 9%. Round up to the nearest whicie number. Duestion 13 A. 1.218 B. 1,109 C. 14 D.767
The total number of samples will be 1109 .
Given ,
Margin of error 0.02
Here,
According to the formula,
\(Z_{\alpha /2} \sqrt{pq/n}\)
Here,
p = proportions of scientist that are left handed
p = 0.09
n = number of sample to be taken
Substitute the values,
\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)
n ≈1109
Thus the number of samples to be taken will be approximately 1109 .
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multiply on the number line 4x(-3)
Answer:
-12x
Step-by-step explanation:
4x* -3 = -3* 4 *x= -12x
two step equation
find the value of the unknown variable in each equation
2(w+3)=14
EXPAND
2w + 6 = 14
BALANCE OUT (-6 from both sides)
2w = 8
SOLVE
2w =8
÷2 ÷2
w = 4
1. The list shows the amounts of money student council collected from students for a field trip. Each student paid the same amount. What is the most the field trip could cost per student? Wednesday $36 Thursday $54 Friday $72 The most the field trip could cost is $ per student.
Answer:
Step-by-step explanation:
First find the LCM and it is going to be 18.
Solve for x:
2x² - 2x+5=0
By quadratic formula, the roots of the quadratic function 2 · x² - 2 · x + 5 = 0 are two conjugated complex numbers: x₁ = 0.5 + i 1.5 and x₂ = 0.5 - i 1.5, respectively.
How to solve a quadratic function by the quadratic formula
Let be a quadratic function of the form a · x² + b · x + c = 0, whose roots can be found by means of the following formula:
\(x = \frac{-b \pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}\) (1)
Where a, b, c are the coefficients of the quadratic function.
In we know that 2 · x² - 2 · x + 5 = 0, then the roots of the polynomial are, respectively:
\(x_{1} = \frac{2 + \sqrt{(-2)^{2}-4\cdot (2)\cdot (5)}}{2\cdot (2)}\)
\(x_{1} = \frac{2 + \sqrt{4-40}}{4}\)
x₁ = 0.5 + i 1.5
\(x_{2} = \frac{2 - \sqrt{(-2)^{2}-4\cdot (2)\cdot (5)}}{2\cdot (2)}\)
\(x_{2} = \frac{2 - \sqrt{4-40}}{4}\)
x₂ = 0.5 - i 1.5
By quadratic formula, the roots of the quadratic function 2 · x² - 2 · x + 5 = 0 are two conjugated complex numbers: x₁ = 0.5 + i 1.5 and x₂ = 0.5 - i 1.5, respectively.
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What value is equivalent to 32 · 43?
Answer:
1376
Step-by-step explanation:
32 · 43 = 32 x 43
=> 32 x 43 = 1376.
Therefore, 1376 is our answer.
Hoped this helped.
Answer:
if your asking about what has the same answer as 32×42 then -32×-42 will get you the same answer
Phyllis invested $8,000, a portion earning a simple interest rate of 4 % per year and the rest earning a rate of 1% per year. After one year the total interest earned on these investments was $95.00. How much money did she invest at each rate?
Using a system of equations, Phyllis invested the following at each rate:
Investment A = $500 at 4%Investment B = $7,500 at 1%.What is a system of equations?A system of equations is two or more equations solved concurrently, simultaneously, or at the same time.
The total investment = $8,000
Investment A's simple interest rate per year = 4% = 0.04 (4/100)
Investment B's simple interest rate per year = 1% = 0.01 (1/100)
The total earnings after one year from Investments A and B = $95.00
Let the amount invested in Investment A = x
Let the amount invested in Investment B = y
Equations:x + y = 8,000 Equation 1
0.04x + 0.01y = 95 Equation 2
Multiply Equation 1 by 0.04:
0.04x + 0.04y = 320 Equation 3
Subtract Equation 2 from Equation 3:
0.04x + 0.04y = 320
-
0.04x + 0.01y = 95
0.03y = 225
y = 7,500
x = 500 (x = 8,000 - 7,500)
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6x 40 =(6x10)+(6x10)+(_x_)
Answer:
I think the answer is 6x20, beaches you simply do: 6x40
6x(10+10+20), so: 6x10+6x10+60x20
Answer:
\(6*40 = (6*10) + (6*10) + (6*20)\)
Step-by-step explanation:
1. \(6*40=240\)
2. \(6*10+6*10=120\)
3. \(240=120+x\)
4. \(240-120=120\)
5. \(120=6*20\)
6. \(6*20\)
So, you have to fill in 6x20 in the gap.
Hope this helped!!
According to a paint specialist one needs at least two coats of paint prudence therefore decided that she will paint three coats just to be sure that all areas are covered . Remember that the area that need to be covered is 14.42.how many litres of paint will be needed if one litre of paint covers 8m
Prudence needs to purchase 6 litres of paint to cover the area with three coats.
Step 1: Calculate the total area to be covered with paint
Since Prudence wants to apply three coats of paint, we need to multiply the area by the number of coats.
Area per coat = 14.42 m²
Total area = 14.42 m² x 3 coats = 43.26 m²
Step 2: Determine the number of litres needed
One litre of paint covers 8 m². To find the number of litres needed for the total area, we need to divide the total area by the coverage of one litre.
Litres needed = Total area / Coverage per litre
Litres needed = 43.26 m² / 8 m²/litre = 5.4075 litres
Step 3: Round up to the nearest whole litre
Since we can't buy a fraction of a litre, we need to round up to the nearest whole litre.
Paint needed = 6 litres
So, Prudence needs to purchase 6 litres of paint to cover the area with three coats.
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how to find sample size with margin of error on ti 84
The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.
To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:
1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.
2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.
Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.
3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.
4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.
5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.
6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.
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Jocelyn Smith has been injured by a local driver who was not paying attention to the road while he was texting on his cellphone. Jocelyn Smith decides to sue the driver. She believes that her own pain and suffering and other damages are worth more than $100,000. In which Florida court should she file her legal action against the driver?
Answer: florida circuit court
Step-by-step explanation:
Based on the information given, the Florida court that she should file her legal action against the driver is the Florida circuit court.
The Florida Circuit Court is a state court where cases such as civil cases, felony, juvenile cases, family law and probate issues are heard. Therefore, based on the scenario given, the Florida circuit court will be applicable here.
Find The total number of unit cubes that fill the entire prism.
Answer:
64
Step-by-step explanation:
put branileist
Answer:
Step-by-step explanation:
72 cuz u multiply 6x3x4=72
which represents the pythagorean theorem formula correctly
Answer: The first one. a^2 +b^2 = c^2
Step-by-step explanation:
The sum of two
numbers is 184 and
their difference is 2.
find the two numbers.
Answer:
128 and 56
Step-by-step explanation:
to confirm this, you can add both numbers. 128+56 which equals to the answer, which is, 184!