ranslate the word phrase, the product of 2 and the difference of -2 and 8, into a numerical expression.O 2(-2 - 8)0 2(-2) + 80 2(-2) - 80 (-2) -8-2
Answers
ANSWER:
2(-2 - 8)
STEP-BY-STEP EXPLANATION:
The product is between 2 and the difference of -2 and 8, so 2 is one term and the difference of -2 and 8 is another.
The difference of -2 and 8 would be the subtraction between both numbers, finally it would be:
\((2)\cdot(-2-8)\)Therefore, the first option is the correct option.
Related Questions
3a. Find the volume of the 3-dimensional object. (enter only the number
Answers
Answer:
60 m^3.
Step-by-step explanation:
3*4*5.
HELPPPPPPPPPPPP PLEASEEEE
Answers
Answer:4
Step-by-step explanation:
Angle A and B are complementary what is the measure of angle be?
Answers
What is the equation of this line?
y = -4×
y = 4×
y = - 1/4×
y = 1/4×
Answers
We find this by remembering that slop is rise over run. Since the rise is -1 and the run is for we can make it -1/4 as the slope, which is next to the x term. Since the y intercept is at the origin we do not have a b term from the formula y=Mx+b.
Three brothers share some money. The oldest 5/11 of the money. The next boy gets gets 7/12 of the remainder. What fraction of the money does the youngest boy get?
Answers
The fraction of the money the youngest boy does get is 5x/22.
Given that, three brothers share some money. The oldest 5/11 of the money.
Let the total money be x.
Share of oldest boy = 5/11 ×x
= 5x/11
Remainder = x-5x/11
Remainder = 6x/11
The next boy gets 7/12 of the remainder.
Share of next boy = 7/12 × 6x/11
= 7x/22
Share of youngest boy = 6x/11 - 7x/22
= (12x-7x)/22
= 5x/22
Therefore, the fraction of the money the youngest boy does get is 5x/22.
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Select all that apply.
Which symbols could be used to make the following statement true?
|-8| ___ |8|
≤
>
<
≥
=
≠
Answers
Answer:
Only '=' symbol.
Step-by-step explanation:
--> |-8| this indicates 'absolute value' in which the sign is ignored. So |-8| is actually 8.
--> |8| (absolute value of 8), is 8 itself.
--> So we can conclude that |-8| = |8|
Sam has 60 toy cars. 20% of the cars are red.
How many cars are red?
A. 12
B. 20
C. 48
D. 40
Answers
Answer:
A
Step-by-step explanation:
20% of 60 is 12
Hope that helps
60 divided by 100 =0.6
0.6 x 20= 12
12
Pls send only answers - no work
Answers
Answer:
No
Step-by-step explanation:
If you are just seeking answers, you are basically cheating and trying to get someone to do your work...which will not help you learn the material ....sad.
What is the equation of the line in slope-intercept form?
-2
=-=x+4
v=-15)+4
5
2
V=--x-4
5
2
V=--x+4
Answers
The equation of the line in slope-intercept form is y = 3x + 4.
We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.
The formula for the mixture is provided by:
n C r equals n!/r! (n-r)!
where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.
In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:
36 C 24 = 36! / (24! * 12!)
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andy’s saving account pays 0.3% more interest then marty’s. martys account earns 200 in interest. how much does interest does andy’s account earn?
1. 200.60
2. 203.00
3. 206.00
4. 230.00
Answers
200.60 interest does andy’s account earn.
Let x be the amount of interest earned by Andy's account.
According to the problem, Andy's account earns 0.3% more interest than Marty's account, which means that Andy's account earns the same amount plus an additional 0.3% of that amount. Mathematically, we can express this as:
x = 200 + 0.3% of 200
Simplifying the right-hand side of the equation, we get:
x = 200 + 0.003 × 200
x = 200.60
Therefore, the answer is option 1: 200.60.
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Which expression uses the GCF and the Distributive Property to create an equivalent expression to
12 + 24?
A
4 ( 3 + 6)
B
6 ( 2 + 4)
C
2 ( 6 + 12)
D
12 ( 1 + 2)
Answers
Answer:
D
Step-by-step explanation:
The greatest common factor of 12 and 24 is 12. The only option which accounts for this is D.
what is the definition of corresponding sides
Answers
Answer:
Corresponding sides touch the same two angle pairs.
Step-by-step explanation:
Answer:
In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs.
When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.
( x - y )( x 2 + xy + y 2 )
Answers
Answer:
x 3 − y 3
Step-by-step explanation:
test for an association between handeness and career for these 5 professions. state the null and alternative hypothesis
Answers
Null Hypothesis: There is no association between handedness and career for Accountants. And Alternative Hypothesis: There is an association between handedness and career for Accountants.
Profession 1: Lawyer
Null Hypothesis: There is no association between handedness and career for Lawyers.
Alternative Hypothesis: There is an association between handedness and career for Lawyers.
Profession 2: Pilot
Null Hypothesis: There is no association between handedness and career for Pilots.
Alternative Hypothesis: There is an association between handedness and career for Pilots.
Profession 3: Accountant
Null Hypothesis: There is no association between handedness and career for Accountants.
Alternative Hypothesis: There is an association between handedness and career for Accountants.
Profession 4: Nurse
Null Hypothesis: There is no association between handedness and career for Nurses.
Alternative Hypothesis: There is an association between handedness and career for Nurses.
Profession 5: Teacher
Null Hypothesis: There is no association between handedness and career for Teachers.
Alternative Hypothesis: There is an association between handedness and career for Teachers.
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Find the equation of a line perpendicular to y=−10+3x that passes through the point (9,-2).
Answers
The equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2) is y = -1/3x + 1
How to find the equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2)?The equation of the line is given as
y = -10 + 3x
Rewrite the equation as
y = 3x - 10
A linear equation is represented as
y = mx + c
Where
Slope = m
So, we have
m = 3
The slopes of perpendicular lines are opposite reciprocals
This means that
m2 = -1/m1
So, we have
m = -1/3
Evaluate
m = -1/3
The equation of the perpendicular line is then calculated as
y = m(x - x1) + y1
Where
(x1, y1) = (9, -2)
This gives
y = -1/3(x - 9) - 2
Evaluate
y = -1/3x + 3 - 2
Evaluate the sum and the difference
y = -1/3x + 1
So, the equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2) is y = -1/3x + 1
Hence, the required equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2) is y = -1/3x + 1
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\((6.648 \times {10}^{9}) - (2.9 \times {10}^{7} )\)I am confused on what to do with this problem.
Answers
Explanation:
\((6.648\times{10}^9)-(2.9\times{10}^7)\)We need to factor out like terms in order to solve the above:
\({10}^9=10^7\times10^2\)Inserting the above into the expression:
\(\begin{gathered} (6.648\times{10}^7\times10^2)-(2.9\times{10}^7) \\ 10^{7\text{ }}\text{is common to both expressions} \end{gathered}\)\(\begin{gathered} (6.648\times{10}^7\times10^2)-(2.9\times{10}^7) \\ 10^7\lbrack(6.648\times10^2)-(2.9)\rbrack \end{gathered}\)\(\begin{gathered} 6.648\times10^2\text{ = }6.648\times100\text{ = }664.8 \\ 10^7(664.8-2.9)\text{ = }10^7(661.9) \\ 661.9\text{ = 6.619}\times10^2 \\ \end{gathered}\)\(undefined\)Complete the function for this graph.
Enter the correct
symbol,+ or -.
y = [?] |x|
![Complete the function for this graph.Enter the correctsymbol,+ or -.y = [?] |x|](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/6VLiv5J48hz18sLNqdcR0zcLjpT7atLX.png)
Answers
Answer:
Step-by-step explanation:
y = -|x|
The graph is facing downwards, meaning it is negative.
Joseph has a bag filled with 3 red, 3 green, 15 yellow, and 9 purple marbles. Determine P(not red) when choosing one marble from the bag.
10%
30%
50%
90%
Answers
Answer: 90%
Step-by-step explanation:
Step 1: Calculate the total number of marbles in the bag.
3 red + 3 green + 15 yellow + 9 purple = 30 marbles
Step 2: Calculate the number of marbles that are not red.
3 green + 15 yellow + 9 purple = 27 marbles
Step 3: Calculate P(not red).
27/30 = 0.9
Answer: 90%
Answer:
the answer is answer c
Step-by-step explanation:
Simplify the expression: 6 + 3(x + 4) A 6 + 3x + 12 B 9x + 36 C 3x + 18 D 9x + 4
Answers
Answer:
C
Step-by-step explanation:
6 + 3(x + 4)
= 6 + 3x + 12
= 3x + 18
PLS HELP ME ANSWER THIS QUESTION..
Answers
Answer:
b. 4
c. 90⁰
Step-by-step explanation:
a. is in the diagram
Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each holds 16 ounces and a picture that holds one over 2 gallon how many ounces of water left in a water tank?
Answers
288 ounces of water are left in the water tank.
What is arithmetic?
Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots
Here, we have
Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.
1 gallon = 128 ounces, 2 gallon = 256 ounces
6 bottles × 16 ounces = 96 ounces
2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces
5 gallon = 5 × 128 = 640 ounces
= 640 - 352 = 288 ounces
Hence, 288 ounces of water are left in the water tank.
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evaluate the expression 9-3/4 x (3/5÷1/8
Answers
Answer:
Step-by-step explanation:
9-3/4 x (3/5÷1/8) =
9 - 0.75 * (0.6 / 0.125) =
9 - 0.75 * 4.8 =
9 - 3.6 =
5.4
What video games do y'all play?
Answers
Answer:
F.o.r.t.n.i.t.e, M.i.n.e.c.r.a.f.t, smash bros, and so on
Step-by-step explanation:
:)
The red thing at the top is a right angle. Find the missing side lengths and leave answers as radicals in simplest form ILL GIVE BRAINLIEST
Answers
Answer:
A. x = 13
y = (13√3)/3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = (26√3)/3
Adjacent = x
Opposite = y
✔️Apply CAH to find x:
Cos 30 = Adj/Hyp
Cos 30 = x/(26√3)/3
√3/2 = x*3/(26√3) (cos 30 = √3/2)
√3/2 = 3x/(26√3)
Cross multiply
2*3x = (26√3)*(√3)
6x = 26*3
6x = 78
x = 78/6
x = 13
✔️Apply SOH to find y:
Sin 30 = Opp/Hyp
Sin 30 = y/(26√3)/3
Sin 30 = y*3/(26√3)
½ = 3y/(26√3) (sin 30 = ½)
Cross multiply
2*3y = (26√3)*1
6y = 26√3
Divide both sides by 6
y = (26√3)/6
y = (13√3)/3
The garden the Julian is enclosing with chicken wire is in the shape of a parallelogram, PLAN. The measure of
Answers
The angle of parallelogram PLAN are ∠P = ∠A = 120°, ∠L = ∠N = 60°
Parallelogram
Parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel. Opposite angles are equal and consecutive angles are supplementary.
The measure of <A is twice the measure of <L.
Let x represent ∠A, hence:
∠A = ∠P = x (opposite angles are equal). Also:
x = 2∠L; ∠L = ∠N = x / 2 (opposite angles)
∠P + ∠L + ∠A + ∠N = 360 (sum of angles in quadrilateral)
x + x/2 + x + x/2 = 360
3x = 360
x = 120°
∠P = ∠A = 120°, ∠L = ∠N = 60°
The angle of parallelogram PLAN are ∠P = ∠A = 120°, ∠L = ∠N = 60°
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a fair die is rolled 100 times.the results are shown below
number:. 1. 2. 3. 4. 5. 6
no of times:. 12. 16. 25. 18. 15. 14
what is the probability of getting
1?
2?
3?
4?
5?
6?
Answers
1.) Probability of getting 1: 0.12 or 12%.
2.) Probability of getting 2: 0.16 or 16%.
3.) Probability of getting 3: 0.25 or 25%.
4.) Probability of getting 4: 0.18 or 18%.
5.) Probability of getting 5: 0.15 or 15%.
6.) Probability of getting 6: 0.14 or 14%.
To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:
Number: 1 2 3 4 5 6
Times: 12 16 25 18 15 14
To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):
Probability of getting 1 = 12 / 100 = 0.12.
Probability of getting 2 = 16 / 100 = 0.16.
Probability of getting 3 = 25 / 100 = 0.25.
Probability of getting 4 = 18 / 100 = 0.18.
Probability of getting 5 = 15 / 100 = 0.15.
Probability of getting 6 = 14 / 100 = 0.14.
Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:
1: 0.12 or 12%,
2: 0.16 or 16%,
3: 0.25 or 25%,
4: 0.18 or 18%,
5: 0.15 or 15%,
6: 0.14 or 14%.
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What percent of 5 is 7?
A. 14%
B. 35%
C. 71%
D. 140%
E. 157%
Answers
Answer:
C
Step-by-step explanation:
Hope it helps :)
The percentage value of 7 is 140% of the number 5
Given data ,
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
To find the percent of one number in relation to another, we can use the following formula:
Percent = (Part / Whole) * 100
In this case, we want to find what percent 7 is of 5.
Percent = (7 / 5) * 100 = 1.4 * 100 = 140
So, when we divide 7 by 5, we get a ratio of 1.4. Multiplying this ratio by 100 gives us the percentage value of 140%. This means that 7 is 140% of 5.
Hence , 7 is 140 percentage of 5.
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if an ice cream truck drives fives 7 miles per hour, how many feet does the truck drive per minute?
Answers
Answer:
616 ft/min
Step-by-step explanation:
1 mile = 5280 feet
7 miles = 5280 x 7 = 36960
1 hr = 60 mins
thus 36960 / 60 = 616
PLEASE HELP!! Eliminate the parameter in the equations y = t + 2 and x =t^1/2.How can the rectangular equation be described?
Answers
Answer:
Quadratic (I took the test)
Step-by-step explanation:
y=t+2 equals y-2=t
put t in for x=t^1/2. this is x=(y-2)^1/2, which equals x^2=y-2.
add 2 to both sides, which is y=x^2+2 . This is an example of a quadratic equation (you kinda just need to know the format of different types of equations for the last part. It isn't cubic because it has a number added to it, isn't linear because the x is squared, and tbh I have no clue what quartic is.)
This is an example of a quadratic equation.
We have given that the equation
y=t+2 equals y-2=t
What is the quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax^2 + bx + c = 0, where a,b are and c represents the constant.
put t in for x=t^1/2. this is x=(y-2)^1/2,
Squaring both sides we get,
x^2=y-2.
add 2 to both sides, which is y=x^2+2.
This is an example of a quadratic equation.
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Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of T and the temperature of its surrounding environment. A pot of chili with temperature 23°C is placed into a −18°C freezer. After 2 hours, the temperature of the chili is 7°C.
Part A: Assuming the temperature T of the chili follows Newton's Law of Cooling, write a differential equation for T. (10 points)
Part B: What is the temperature of the chili after 4 hours? (20 points)
Part C: At what time, t, will the chili's temperature be −10°C? (10 points)
Answers
For this, let's go through each problem carefully and step-by-step.
According to the question, the rate of change of the temperature of any object that is defined by T, is directly proportional to the difference of T and the temperature of the environment around it, which we'll denote as X.
\(\frac{dT}{dt}\)\(= k (T-X)\)
K is a constant of proportionality here. And the temperature of the surrounding environment is said to be (-18°C). Thus,
\(\frac{dT}{dt} = k(T+18)\).
For part A, in order to find the differential equation for T, we need to solve for k. So we separate the variables and then integrate to solve the equation.
\(\int\limits{\frac{dT}{T+18} } = \int\limits {k} \, dt\)
\(ln(T+18) = kt+c\)
Now thw inital temperature of a pot of chili is 23°C, so at \(t = 0, T_0 = 23*C\).
Substituting 23 for T and 0 for t, we have the following:
\(ln(23+18) = k(0)+c\)
\(ln(41) = c\)
We know the temperature of chili after 2 hours is 7°C, so we know that when \(t = 2, T_1 = 7\)
Substituting t for 2, and T for 7, we get:
\(ln(7+18) = 2k+ln(41)\)
\(ln(25) = 2k + ln(41)\)
Solving for 2k
\(2k = ln(25) -ln(41)\)
\(2k = ln(\frac{25}{41})\)
\(k = \frac{1}{2}ln(\frac{25}{41})\).
Substituting the value of \(\frac{dT}{dt} = k (T+18)\), the differential equation obtained is \(\frac{dT}{dt} = \frac{1}{2}ln(\frac{25}{41})(T+18)\).
For part B, to find the temperature of the chili after four hours, we first need to solve the above differential equation.
The solution of the differential equation is given by the equation \(ln(T+18) = kt+c\). Substituting the values of k and c, we have:
\(ln(T+18) = \frac{1}{2}ln(\frac{25}{41})t+ln(41)\).
Using the above relation, at any time (t), the temperature (T) can be found out in the following.
At \(t = 4, T_2 = \phi\)
\(ln(T_2+18)=\frac{1}{2}ln(\frac{25}{41})*4+ln(41)\)
\(ln(T_2+18)=2ln(\frac{25}{41})+ln(41)\)
\(ln(T_2+18)=-0.989 + 3.714\)
\(ln(T_2+18)\) ≅ \(2.725\)
Solving the natural logarithm,
\(T_2+18 = e^{2.725} = 15.256\)
\(T_2 =15.256 - 18\)
\(T_2 = -2.744\).
So the temperature of the chili after four hours would be -2.744°C approximately.
To find part C in what time the chili would be 10°C, we need to substitute again.
\(t = \phi\)\(, T = -10\)
\(ln(-10 + 18) = \frac{1}{2}ln(\frac{25}{41})t + ln(41)\)
\(ln(8) = \frac{1}{2}ln(\frac{25}{41})t + ln(41)\)
Solving for \(\frac{1}{2}ln(\frac{25}{41})t\),
\(\frac{1}{2}ln(\frac{25}{41})t = ln(8) - ln(41)\)
\(\frac{1}{2}ln(\frac{25}{41})t = ln(\frac{8}{41})\)
\(\frac{1}{2}ln(\frac{25}{41})t = -1.634\)
\(ln(\frac{25}{41})t\)\(= -1.634 * 2\)
\((-0.494)t=-3.268\)
\(t = \frac{-3.268}{-0.494}\)
\(t=6.615\) hours, approximately.
Thus, the chili would reach -10°C at around 6.615 hours.
Hope this helped. This took me a long time.