the correct option is:
"Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions."
Which form would you encourage Miguel to choose?
Miguel wants to do the product below:
-0.6*(5/6)
And he know that to do it, he should convert both numbers to the same form, only that he does not know if he should transform the decimal number into a fraction or the fraction into a decimal.
It is always easier to work with fractions, so the blind answer is to go with the fraction, but let's see why this is the best option.
5/6 written as a decimal will give:
5/6 = 0.833....
It is a repeating decimal number, so taking the exact product would be impossible to do by hand if we used both numbers in decimal form.
While -0.6 written as a fraction is really trivial, just multiply it and divide it by 10, it becomes:
-0.6 = -6/10
Then the product is:
(-6/10)*(5/6) = -5/10 = -1/2
Then the correct option is:
"Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions."
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Hot tea is around 181 degrees Fahrenheit, and the room temperature is 72 degrees Fahrenheit. The rate of the hot tea cooling on a desk in the room is about 6.5% every minute. You need to determine how hot the tea will be after t minutes? Which function models this situation?
The function that models the given situation is; f(x) = 109(0.935)^(t) + 72
How to interpret function models?
We are given that;
Temperature of hot tea = 181°F
Room temperature = 72°F
Rate of the hot tea cooling on a desk in the room = 6.5% every minute
We know that an exponential function is of the form of;
y = A(r)^(x)
where;
A is the initial value.
r is the rate of increase/decrease in decimals.
Thus, our initial value is;
A = 181 - 72 = 109
The rate of increase/decrease in decimals = 1 - (6.5%) = 0.935
Since the room temperature is 72 degrees Fahrenheit, then the function is;
f(x) = 109(0.935)^(t) + 72
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Please help!! Will mark brainliest
Answer:
100°
meron po bang D Wala namn ah
Help I don’t know how to do this
Answer:
∠1 is 101 ∠4 is 79 and ∠2 is 79
Step-by-step explanation:
This is because ∠1 is a vertical angle of ∠3 so they have the same angle
For ∠4 and ∠2 you would do 101-180 because they are supplementary do they add up to 180
(−7 + 4.6p) + (11.3p − 6)
Answer:
15.9p-13
Step-by-step explanation:
Answer:
15.9p-13
Step-by-step explanation:
i had this question and got it right
(1-tan4 A) cos4 A = 1-2 sin² A
Step-by-step explanation:
You want to demonstrate the identity ...
(1-tan⁴(A))·cos⁴(A) = 1 -2·sin²(A)
Working with the left side, we have ...
[tex](1-\tan^4(A))\cos^4(A)=1-2\sin^2(A)\\\\(1-\dfrac{\sin^4(A)}{\cos^4(A)})\cos^4(A)=1-2\sin^2(A)\qquad\text{use tangent identity}\\\\\cos^4(A)-\sin^4(A)=1-2\sin^2(A)\qquad\text{multiply it out}\\\\(\cos^2(A) +\sin^2(A))(\cos^2(A)-\sin^2(A))=1-2\sin^2(A)\qquad\text{factor}\\\\1((1-\sin^2(A))-\sin^2(A)) = 1-2\sin^2(A)\qquad\text{use $\cos^2$ identity}\\\\1-2\sin^2(A)=1-2\sin^2(A)\qquad\text{Q.E.D.}[/tex]
__
Additional comment
The referenced identities are ...
tan = sin/cos
cos² = 1 -sin²
and the factorization of the difference of squares:
a² -b² = (a +b)(a -b).
Write the decimal equivalents of these two fractions: and .
The decimal equivalent of is
, and the decimal equivalent of is
.
The fraction 1/8 in decimal form is 0.125, and the fraction 3/4 in decimal form is 0.75.
Given two fractions are there 1/8 and 3/4?
We have to calculate those fractions into decimal form as below.
1/8 3/4
= 8) 10 (0.125 = 4) 30 (0.75
8 28
------- ---------
20 20
16 20
-------- ------------
40 0
40
---------------
0
Therefore, the fraction 1/8 in decimal form is 0.125, and the fraction 3/4 in decimal form is 0.75.
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The question is incomplete. Please find the complete question below:
Write the decimal equivalents of these two fractions: 1/8 and 3/4
The decimal equivalent of 1/8 is 1.25, 0.125, or 0.0125, and the decimal equivalent of 3/4 is 7.5, 0.75, or 0.075
which value is an irrational number? a. 4/19 b. the square root of 200 c. the square root of seven over the square root of seven d. -0.58 repeated
Answer:
B. √200
Step-by-step explanation:
An irrational number is a number that excludes single-point decimals but includes integers and fractions. A square root is a repeating decimal(Most of the time), therefore, this is an irrational number.
△FGH represents an artist's initial work on a design for a new postage stamp. What must be the values of x, y, and z in order for the artist's stamp to be congruent to △ABC?
The values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively
Given data
The two triangle that has the values are attached:
How to find the value of x, y, and z to make the triangles congruentThe value of x
( 2x + 6 ) mm = 36 mm
2x mm = ( 36 - 6 ) mm
2x mm = 30 mm
x = 30 / 2 mm
x = 15 mm
The value of y
( 6y ) mm = 36 mm
y = 36 / 6 mm
y = 6 mm
The value of z
( 3z + 39 ) mm = 51 mm
3z mm = ( 51 - 39 ) mm
3z mm = 12 mm
z = 12 / 3 mm
z = 4 mm
Therefore, the values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively
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complete question
The complete question is attached
Please help need to finish in an hour!
your question is wrong to make sure
How many whole numbers lie between 237 and 143?
Answer:
93
Step-by-step explanation:
143 —————>233 = 90
233 —————>237 = 3
90 + 3 = 93
The number of the whole numbers lying between 237 and 143 will be 94.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Zero, a consistently positive number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive values are negative in value. The set of integers is frequently represented in mathematical notation by the big bold letters Z.
The number of the whole numbers lying between 237 and 143 will be given by the subtraction of the numbers from 237 to 143. Then we have
⇒ 237 - 143
⇒ 94
The number of the whole numbers lying between 237 and 143 will be 94.
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Find the value of x, given that m4 POS = 119°.
Answer: x=4.7°
Step-by-step explanation:
[tex]m\angle PQS=119^0\\\angle PQR+\angle RQS=\angle PQS\\72^0+(10x)^0=119^0\\72^0+(10x)^0-72^0=119^0-72^0\\10(x^0)=47^0\\[/tex]
Divide both parts of the equation by 10:
[tex]x=4.7^0[/tex]
Using the section of the graph shown, which of
these potential roots of the function should you
test first?
f(x) = 2x³-9x² - 6x + 40
Step-by-step explanation:
STEP1:Equation at the end of step 1
(((2 • (x3)) + 32x2) - 6x) - 40
STEP 2 :
Equation at the end of step2:
((2x3 + 32x2) - 6x) - 40
STEP3:Checking for a perfect cube
3.1 2x3+9x2-6x-40 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 2x3+9x2-6x-40
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6x-40
Group 2: 2x3+9x2
Pull out from each group separately :
Group 1: (3x+20) • (-2)
Group 2: (2x+9) • (x2)
I thing it will help you
please follow me
answer this question
Work Shown:
f(x) = -x - 6
f(-x) = -(-x)-6
f(-x) = x-6
g(x) = f(-x)
g(x) = x-6
Explanation:
I replaced every x with -x to reflect the point over the y axis.
For example, the point (2,3) reflects to (-2, 3)
What is the sign of
−289 + 311?
Answer:
it is positive
Step-by-step explanation:
-289+311=22 which is a positive number
The table below represents the amount, in grams, of a substance remaining after t years.
Answer:
D
Step-by-step explanation:
The equation we'd use for this problem is y=a(1-b)^x (exponential decrease)
a is the initial amount, the number in the parentheses is the amount it decreases by, and x is time.
The initial amount is 8,500 since that is what we start with after 0 years. By looking at the chart we can see that the number decreases over time by a constant rate of .5, so that is the number in the parentheses. You then end the equation with ^t since t would be time in years
:D
un mesero gana $5 la hora, el sábado ganó $108 en propinas. si él hizo $128 En total cuántas horas trabajo? escribe una ecuasion y responde.
The waiter worked for 4 hours.
The waiter earns $5 an hour.The waiter earned $108 in tips. The waiter made $128 in total.The earnings of the waiter, excluding tips, are total minus the tips.The earnings of the waiter, excluding tips, are $128-$108.The earnings of the waiter, excluding tips, are $20.The Earnings Rate is the amount for each fund computed for each business day that represents the net rate of gain or loss on the assets of that fund.The earnings of the waiter due to work = number of working hours * Earning rate20 = Number of working hours * 5The number of working hours is 20/5.The number of working hours is 4 hours.To learn more about rate, visit :
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Blinn College charges $166 per credit hour, you plan to take 13 hours per semester, how much will your tuition cost for a full academic year?
Answer:
$4,316
Step-by-step explanation:
Semester one: $166 per credit times 13 hours = $2,158
Semester two: $166 per credit times 13 hours = $2,158
Cost for semester one plus semester two = $4,316
Find the value of each of the following by using prime factorisation.
(b) 13824
Answer:
Here in the picture is the prime factorisation of 13824
Please mark as brainliest
*PLS HELP*
Drag and drop each verbal phrase next to the algebraic expression that models it.
the base salary of an employee and a 6%
salary increase
x+0.06x=1.06x
x-0.60x=0.40x
x+0.60x= 1.60x
the number of students attending school
last year and a 60% increase from last year
ix-0.06x=0.94x
the cost of groceries and a 6% discount
with coupons
the price of a winter coat and a 60%
discount
Answer:
1st Question: The answer is the bottom left
2nd Question: The answer is the bottom right
3rd Question: The answer is the top left
4th Question: The answer is the top right.
Step-by-step explanation:
-w + 4(w + 3) = -12
Answer:
Step-by-step explanation:
-w + 4(w + 3) = -12
Expand: -w + 4w + 12 = -12
3w + 12 = -12
3w = -12-12
3w = -24
w = -8
how many days on earth, in decimal form, are equivalent to 9 1/2 years on venus
One year on Venus is 225 days on Earth.
Multiply that by 9 1/2.
The answer you get is 2137.5
9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.
There are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Equivalent to 9 1/2 years on venus.
Let the number of days on earth is x:
One year on Venus is 225 days on Earth.
= (225)(9 1/2)
= (225x19)/2
= 2137.5 days
Thus, there are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
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in a sample of 200 households, the mean number of hours spent on social networking sites during the month of january was 55 hours. in a much larger study, the standard deviation was determined to be 7 hours. assume the population standard deviation is the same. what is the 99% confidence interval for the mean hours devoted to social networking in january? (2 points) the 99% confidence interval ranges from 53.73 to 56.27 hours. the 99% confidence interval ranges from 7 to 55 hours. the 99% confidence interval ranges from 54.51 to 55.49. the 99% confidence interval ranges from 55 to 60 hours.
The correct option is A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
The 99% confidence interval for the mean hours devoted to social networking in January ranges from 53.73 to 56.27 hours.
What is confidence interval?In statistics, a confidence interval denotes the likelihood that a population parameter would then fall between two specified values.
A confidence interval is a set of values bounded both above and below the mean of a statistic that are likely to contain an unknown parameter. The proportion of probability, or predictability, that the confidence interval will contain the real population parameter when a random sample is drawn many times is referred to as the confidence level.sample size 'n' =200
Mean 'x' = 55 hours
Standard deviation (Population) = 7 hours
For 99% confidence level
Z critical value = 2.58
Margin of error = ±2.58(std error)
Now, compute the standard error
Standard error = 7/√n
=7/√200
= 0.495
Thus, margin of error = ±0.495(258) = 1.28
Now, calculate the Confidence interval;
Confidence interval = (55 - 1.28, 55 + 1.28)
= (53.72, 56.28)
Confidence interval = (53.73, 56.27) [approx.]
Therefore, the confidence level lies between 53.73, 56.27) [approx.]
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The correct question is-
In a sample of 200 households, the mean number of hours spent on social networking sites during the month of January was 55 hours. In a much larger study, the standard deviation was determined to be 7 hours. Assume the population standard deviation is the same. What is the 99% confidence interval for the mean hours devoted to social networking in January?
A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
B) The 99% confidence interval ranges from 7 to 55 hours.
C) The 99% confidence interval ranges from 54.51 to 55.49 hours.
D) The 99% confidence interval ranges from 55 to 60 hours.
Hassan's soccer team is trying to raise $688 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $43 for the breakfast. How many people need to attend their breakfast in order to raise $688?
Answer: 182
Step-by-step explanation:
ST
Problem number 26 of the Rhind Papyrus says:
Find a quantity such that when it is added to of itself
the result is a 15.
The modern day equation that models this problem is
x+x=15.
What is the solution to the equation?
O x = 10
x = 12
x = 15
x = 30
Step-by-step explanation:
please make sure that fractions are still in the problem text after scanning it.
because they are missing here, and I have to guess around.
Basically the problem is
x + 1/a × x = 15
that means
ax + x = 15a
(a+1)x = 15a
x = 15a/(a+1)
for a = 2 (so, 1/2 x is added to x), we get
x = 15×2/3 = 30/3 = 10
for a = 4 (1/4 of x is added to x), we get
x = 15×4/5 = 60/5 = 12
these are also the first 2 answer options. so, please pick the one that fits the complete problem definition.
the 3rd and 4th answer options are nonsense anyway, as when you add something greater than 0 to x and get 15, then the initial x cannot be already 15 or even bigger.
A cylindrical vase has a diameter of 6 inches and a height of 8 inches. The vase already contains 20 cubic inches of water. A faucet can fill the vase at
a rate of 8 cubic inches per second.
To the nearest second, how long will it take the faucet to fill the vase? Enter the answer in the box.
Use the info
seconds
In 25.76 seconds we will fill the total volume of the cylinder.
how long will it take the faucet to fill the vase?The total volume of the cylinder is given by the equation:
V = pi*R^2*H
Where pi = 3.14, R is the radius and H is the height.
Here we know that the diameter is 6 inches, then the radius is:
R= 6in/2 = 3in
And the height is 8 inches, then the volume is:
V = 3.14*(3in)^2*8in = 226.08 in^3
We already have 20 cubic inches of water there, so what we need to fill is:
226.08 in^3 - 20in^3 = 206.08in^3
If we fill it at a rate of 8in^3/s, the time in which we will completely fill the cylinder is:
T = 206.08in^3/8in^3/s = 25.76s
In 25.76 seconds we will fill the total volume of the cylinder.
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Use the SOLVE Strategy to solve the problem below.
Wendy has taken two tests with scores of 77 and 80. To get an 82 average, what must her grade be on the third test?
Write and solve an equation to find her third test score. Show your work to explain how you determined her test score.
Rubric :
S - Underline the Question. ( 1 Point )
Answered Question, What is the Problem is asking me to find? ( 2 Points )
O- All Math facts are identified. ( 2 Points )
Unnecessary facts are eliminated. ( 2 Points)
All Necessary Facts are listed: ( 1 Point)
L- Use of correct operations . ( 2 Points )
Representation of the unknown. ( 2 Points)
Explained in a logical and sequential order. ( 2 Points)
V- Make estimation . ( 2 Points )
Number sentence matches plan for L. ( 2 Points)
Computation is correct . ( 2 Points )
E- Answer written in complete sentence. ( 1 Point )
Sentence Matches S. ( 1 Point )
Answer is correct . ( 1 Point )
Estimate was reasonable for the answer. ( 1 Point )
Answer: wendy should pick S
Step-by-step explanation:
4. The figure below is a rectangle. What is the value of x?
Hint: opposite sides of a rectangle are congruent
3(x + 4)
5x-9
Answer:
3(x+4)=5x-9
or,3x+12=5x-9
or,12+9=5x-3x
or,21=2x
orx=21/2
x=10.5
The value of x from the given rectangle is 10.5 units.
The opposite sides of a rectangle are 3(x+4) and 5x-9.
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
Now, the opposite sides of a rectangle are congruent
So, 3(x+4) = 5x-9
⇒ 3x+12=5x-9
⇒ 5x-3x=12+9
⇒ 2x=21
⇒ x=10.5 units
Therefore, the value of x from the given rectangle is 10.5 units.
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Combine the like terms to create an equivalent expression
-4r-2r+5
Answer:
-6r+5
Step-by-step explanation:
Combining the like terms
⇒-4r-2r+5
⇒-6r+5
Jason is collecting coins from different countries around the world. He currently has coins from 99 countries and plans to add 4 new countries to his coin collection each week. At this rate how many weeks (w) will it take Jason to have coins from all 195 countries?
Equation:
Solution:
Final Answer:
???
The number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
How to calculate the equation?It should be noted that an equation is simply used in Mathematics to show the relationship the exist between different variables.
Let the number of weeks be represented by w.
Therefore, based on the information, the appropriate equation will be:
99 + (4 × w) = 195
99 + 4w = 195
4w = 195 - 99
4w = 96
Divide
w = 96/4
w = 24
Therefore, based on the calculation illustrated above, the number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
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Which of the following is the solution set of the
problem?
O (-∞, -3)
(-∞, -3]
O
[-3,00)
O (-3,00)
DONE
The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;
(-∞, -3]How can the solution set of an inequality be found?A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;
2•x + 3 ≤ -3Solving the above inequality, we have;
2•x + 3 ≤ -3
2•x ≤ -3 - 3 = -6
2•x ≤ -6
Therefore;
x ≤ -6 ÷ 2 = -3
x ≤ -3
Which gives;
-∞ < x ≤ -3-∞ < x ≤ -3 in interval notation is (-∞, -3]
The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;
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