we must first convert the decimals into integers. We can do this by multiplying by 100/100
That is
\(\frac{5.51}{0.20}=\frac{5.51}{0.20}\cdot\frac{100}{100}\)it yields
\(\frac{5.51}{0.20}=\frac{551}{20}\)and now, we can apply the long division algorithm:
and the result is 27.55
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Please Help!!! I will try to give brainliest!!!
Answer:
I'm really sorry, but I only know that d=8
may someone help me please?
Step-by-step explanation:
Radio=
Normal Price = K48.
Discount 20%
Selling Price
6. The tables show the monthly costs for two different Internet service providers.
What will be the difference in the cost of the two plans after 18 months?
Company A
Month, x
1
234
Total Cost ($), y
75
110
145
180
Company B
Month, x
1
2
3
4
Total Cost ($), y
60
110
160
210
Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.
What will be the cost for the two plants after 18 months?By following the sequence provided on the table, let's calculate the cost for each plant:
Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.
Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910
Now, let's calculate the difference in cost:
910 - 670 = 240
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4. Calculate the Social Security and Medicare tax that would be applied to an annual salary of $56,400.
Answer:759
Step-by-step explanation:
PLEASE DUE TODAY LAST ATTEMPT OT IS NOT 12.5% I think 15 points
Answer:
50%
Step-by-step explanation:
because if you think about it it will be 50 percent because on the spin there are 4 evens and 4 odds and same with the dice exept the dice is 3 even and 3 odd
in the x y coordinate plane, which of the following points must lie on kx + 3y + 6 if k = -1/2
Answer:
honestly, I got no idea. I can tell you though - go us Desmos kid. it'll help you more than any person in this platform.
don't thank me
Step-by-step explanation:
Desmos
use Desmos
Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
99°
B
D
94%
The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.
Hence, Option (B) is correct.
Since, We know that,
A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.
The opposite angles of a cyclic quadrilateral have a total of 180°.
Hence, We can formulate;
m ∠ABC + m ∠ADC = 180°
m ∠ABC + 94° = 180°
m ∠ABC = 180° - 94°
m ∠ABC = 86°
Similarly, one can find m∠DCB
m∠DAB + m∠DCB = 180°
99° + m∠DCB = 180°
m∠DCB = 180° - 99°
m∠DCB = 81°
Hence, m∠ABC = 86°
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Find the standard form of the equation for the circle with the following properties.
Center (−6,−7/6) and tangent to the x-axis
Answer:
\((x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}\)
Step-by-step explanation:
So, we know that the center of the circle is at (-6, -7/6).
To find the equation of our circle that is tangent to the x-axis, we just need to find the vertical distance from our center to the x-axis.
Our center is at (-6, -7/6). The vertical distance from this to the x-axis directly above will be (-6, 0).
So, find our distance by subtracting our x-values:
\(d=r=0-(-7/6)\)
Subtract:
\(d=r=7/6\)
So, our distance, which is also our radius, will be 7/6.
Now, we can use the standard form for a circle, which is:
\((x-h)^2+(y-k)^2=r^2\)
Where (h, k) is the center and r is the radius.
Substitute -6 for h, -7/6 for k, and 7/6 for r. This yields:
\((x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}\)
We can confirm by graphing (using a calculator):
3х2+9х+6
Foil method of
Answer:
3(4+3x)
Step-by-step explanation:
See Image below.
Suppose that we want to generate the outcome of the flip of a fair coin, but that all we have at our disposal is a biased coin which lands on heads with some unknown probability p that need not be equal to1/2. Consider the following procedure for accomplishing our task:
1. Flip the coin.
2. Flip the coin again.
3. If both flips land on heads or both land on tails, return to step 1. 4. Let the result of the last flip be the result of the experiment.
(a) Show that the result is equally likely to be either heads or tails.
(b) Could we use a simpler procedure that continues to flip the coin until the last two flips are different and then lets the result be the outcome of the final flip?
Answer:
Step-by-step explanation:
Given that;
the following procedure for accomplishing our task are:
1. Flip the coin.
2. Flip the coin again.
From here will know that the coin is first flipped twice
3. If both flips land on heads or both land on tails, it implies that we return to step 1 to start again. this makes the flip to be insignificant since both flips land on heads or both land on tails
But if the outcomes of the two flip are different i.e they did not land on both heads or both did not land on tails , then we will consider such an outcome.
Let the probability of head = p
so P(head) = p
the probability of tail be = (1 - p)
This kind of probability follows a conditional distribution and the probability of getting heads is :
\(P( \{Tails, Heads\})|\{Tails, Heads,( Heads ,Tails)\})\)
\(= \dfrac{P( \{Tails, Heads\}) \cap \{Tails, Heads,( Heads ,Tails)\})}{ {P( \{Tails, Heads,( Heads ,Tails)\}}}\)
\(= \dfrac{P( \{Tails, Heads\}) }{ {P( \{Tails, Heads,( Heads ,Tails)\}}}\)
\(= \dfrac{P( \{Tails, Heads\}) } { {P( Tails, Heads) +P( Heads ,Tails)}}\)
\(=\dfrac{(1-p)*p}{(1-p)*p+p*(1-p)}\)
\(=\dfrac{(1-p)*p}{2(1-p)*p}\)
\(=\dfrac{1}{2}\)
Thus; the probability of getting heads is \(\dfrac{1}{2}\) which typically implies that the coin is fair
(b) Could we use a simpler procedure that continues to flip the coin until the last two flips are different and then lets the result be the outcome of the final flip?
For a fair coin (0<p<1) , it's certain that both heads and tails at the end of the flip.
The procedure that is talked about in (b) illustrates that the procedure gives head if and only if the first flip comes out tail with probability 1 - p.
Likewise , the procedure gives tail if and and only if the first flip comes out head with probability of p.
In essence, NO, procedure (b) does not give a fair coin flip outcome.
Find the value of x.
The angle measures of 2 x degrees, 90 degrees, and x degrees sum to 180 degrees.
Answer:
x = 30°
Step-by-step explanation:
2x + 90 + x = 180
3x = 90
x = 30
Topic: Angles
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
\( \huge{ \boxed{ \bold{ \tt{x = 30 \degree}}}}\)
♨ Step - by - step explanation
☯ Given angles :
2x° , 90° , x°☯ To find :
Value of x✎ Set up an equation and solve for x :
\( \sf{2x \degree \: + 90 \degree \: + \: x \degree = 180 \degree}\)Add the like terms. Remember that Only coefficients of like terms can be added or subtracted.
➺ \( \sf{3x \degree + 90 \degree = 180 \degree}\)
Move 90° to right hand side and change it's sign
➺ \( \sf{3x \degree = 180 \degree - 90 \degree}\)
Subtract 90° from 180°
➺ \( \sf{3x \degree = 90 \degree}\)
Divide both sides by 3
➺ \( \sf{ \frac{3x \degree}{3} = \frac{90 \degree }{3} }\)
➺ \( \boxed{ \sf{x = 30 \degree}}\)
-------------------------------------------------------------------
❑ Rules for solving an equation
If an equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets, if any.Collect the terms with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.Hope I helped!
Have a wonderful time ! ツ
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Help me! I need help with my homework !
Answer:
Rounding to the nearest hundredth, the area of the shaded region is approximately 167.91 square yards.
Step-by-step explanation:
To find the area of the shaded region between two circles with the same center, we need to subtract the area of the smaller circle from the area of the larger circle.
The area of the larger circle is:
A_outer = πr_outer^2
= π(11.9 yd)^2
≈ 445.03 yd^2
The area of the smaller circle is:
A_inner = πr_inner^2
= π(9.4 yd)^2
≈ 277.12 yd^2
Therefore, the area of the shaded region is:
A_shaded = A_outer - A_inner
≈ 445.03 yd^2 - 277.12 yd^2
≈ 167.91 yd^2
Hope this helps! Sorry if it doesn't. If you need more help, ask me! :]
What is the radius and diameter of the following circle?
24 cm
Answer:
Radius: 12
Diameter: 24
Step-by-step explanation:
Diameter is the width of the circle across while radius is the length from the centre of the circle outward.
find the value of x in angle on a straight line if 6x and 3x is given
The value of x is 20 degrees on a straight line if 6x and 3x.
To find the value of x in angle on a straight line when 6x and 3x are given, we need to apply the concept of angles on a straight line.
A straight line forms a straight angle, which measures 180 degrees. When two angles are on a straight line, their sum is equal to 180 degrees. Therefore, we can write the equation:
6x + 3x = 180
Combining like terms, we have:
9x = 180
To isolate x, we divide both sides of the equation by 9:
9x/9 = 180/9
x = 20
Thus, the value of x is 20. We can verify this by substituting x into the given angles:
6x = 6 * 20 = 120 degrees
3x = 3 * 20 = 60 degrees
The sum of these angles is indeed 180 degrees, confirming that x = 20 is the correct solution.
In conclusion, when 6x and 3x are given as angles on a straight line, the value of x is 20.
Consequently, x has a value of 20 degrees.
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Entice English class 70% of the students completed an essay by the due date there are 30 students in ties English class how many complete the essay by the due date
What is the value of the expression? Do not use a calculator.
tan
Tan2pie/3
The value of tan 2π/3 without calculator is -√3.
What is the value of tan 2π / 3 without calculator?The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;
the value of π = 180 degrees
So we can replace the value of π in the function with 180 degrees as follows;
tan ( 2π / 3) = tan (2 x 180 / 3)
tan (2 x 180 / 3) = tan (2 x 60)
tan (2 x 60) = tan (120)
tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.
tan (120) = - tan (180 - 120)
= - tan (60)
= -√3
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Every week Roseanne gets paid $100 plus a 5% commission on all of her sales. If she has $5,000 in sales, how much is her pay for the week?
Answer:
$700 a 30%
Step-by-step explanation:
hope it help :)
what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
Based on what you've read, decide which of the four basic operations you need to use. Then, solve the problems.
On a trip to Florida, Santina drove 203 miles and Carole drove 189 miles. How many more miles did Santina drive than Carole?
The basic operation use for the problem is subtraction.
The number of miles Santina drove than Carole is 14 miles.
How to solve problems with basic operations?Basic operations are the building blocks and rules of math.
The basic operations are addition, subtraction, multiplication, and division.
On a trip to Florida. Santina drove 203 miles and Carole drove 189 miles.
The distance in miles Santina drive than Carole is the difference between there distance travelled.
Therefore, the basic operation applied in this problem is subtraction.
Hence, let's solve it as follows:
miles Santina drove than Carole = 203 - 189 = 14 miles
Therefore, Santina drove 14 more miles.
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The basic operation used for the problem will be; subtraction. Santina drove 14 more miles than Carole.
How to solve problems with basic operations?Basic operations are the building blocks and rules of math. The basic operations are addition, subtraction, multiplication, and division.
On a trip to Florida. it is given that Santina drove 203 miles and Carole drove 189 miles.
The distance Santina drives is miles than Carole, which is the difference between their distance traveled.
Thus, the basic operation applied in this problem will be; subtraction.
Hence, let's simplify it as follows:
The miles, Santina drove = 203 - 189 = 14 miles
Therefore, Santina drove 14 more miles than Carole.
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Do
xº
470
Find the values of x and y.
drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.
Error Analysis:
Describe and correct the error made in the reasoning:
If a/5 = b/3, then 5/a = b/3 * x
The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.
To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:
a/5 = b/3
5/a = 3/b (multiplying both sides by 5/a)
5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)
5/a = 1
Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
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A population consists of 8 items. The number of different simple random samples of size 3 (without replacement) that can be selected from this population is _____. a. 24 b. 512 c. 56 d. 128 . As the degrees of freedom increase, the t distribution approaches the _____ distribution. a. normal b. uniform c. p d. exponential
Completing: The number of different simple random samples of size 3 (without replacement) that can be selected from this population is (Option A.) 24.
Number of Different Simple Random Samples of Size 3 from PopulationThis is because a simple random sample is one in which each individual has an equal probability of being selected, and no individual can be selected more than once. In this population, there are 8 individuals, meaning that the total number of possible combinations of 3 individuals is 8×7×6, or 336. However, since the order of selection does not matter, this number needs to be divided by 3! (3 factorial) to determine the number of unique combinations, which is 336/6 = 24.
Completing: As the degrees of freedom increase, the t distribution approaches the (Option A.) Normal distribution.
Approaching the Normal Distribution with Increasing Degrees of Freedom in the t-DistributionThe t-distribution is a type of probability distribution that is often used in the field of statistics. It is most commonly used when the sample size is small and the population standard deviation is unknown. As the degrees of freedom increase, the shape of the t-distribution becomes more symmetrical and approaches a normal distribution.
The t-distribution is a type of continuous probability distribution, which means it has an infinite number of values. As the degrees of freedom increase, the area under the curve of the t-distribution gets closer and closer to the area under the normal distribution, resulting in the t-distribution becoming more and more similar to the normal distribution.
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Jayden budgets $400 of his $3,200 monthly income towards donations. What percent of his income does he donate each month?
Answer:
12.5%
Step-by-step explanation:
400 divided by 3200= .125
.125 x 100= 12.5
12.5%
What is the present value of $ 2,500 per year for 10 years discounted back to the present at 7 percent?
Answer:
$17,559
Step-by-step explanation:
The present value of $2,500 per year for 10 years, discounted back to the present at 7 percent, is approximately $17,559.
Math Homework: Unit 3 Assignment
Divide 14x3 − 21x2 − 7x by −7x.
A) −2x2 + 3x + 1
B) −2x2 + 3x − 1
C) −2x3 − 3x2 − x
D) −2x2 + 3x
Answer:
A
Step-by-step explanation:
simply divide each ter by -7x ..
Use the circle graph to determine how
many hours each day Sariah spends
on each activity.
School:
hours
Becky's Day
Eating
hours
10%
Eating:
Sleep:
Free time
15%
Homework
10%
Sleep
40%
Homework:
hours
hours
hours
School
25%
Free time:
Answer:
school=6 hours
eating= 2.4 hours
sleep= 9.6 hour
homework= 2.4 hours
free time= 3.6 hours
Step-by-step explanation:
Use the equation below to find y, if m=3 and x=5.
y=mx
y = __
Hey there!
y = mx
mx = y
3(5) = y
3 + 3 + 3 + 3 + 3 = y
6 + 6 + 3 = y
12 + 3 = y
15 = y
Thus, your answer is: y = 15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)