Answer:
C
Step-by-step explanation:
Look at the coefficients in the expression: -3 and 12. The largest number that divides them both is 3. That means you can factor out either a 3 or a negative 3. Try 3.
3(-x - 4) is not on the list of answers. Also, it's unusual to factor out a value that leaves a negative coefficient on x.
Try factoring out -3.
-3(x + 4) is answer choice C.
Bonus
Because this is a multiple-choice question without a "non of these" option, you can solve the problem by expanding--multiplying out--the answers!
A. 3(x + 4) = 3x + 12 ...nope, not it
B. 3(x - 4) = 3x -12 ...nope, not it
C. -3(x + 4) = -3x -12 ...bingo!
As y increases by 4, x increases by 8. Which equation represents this rate of change?
Answer:
y + 4 = x +8.
y - x = 4
Step-by-step explanation:
This is a rate change equation,
When y increases by 4, the equation to represent that is (y + 4).
When x is also increased by 8, the equation is (x + 8)
Since both equation are dependable,
y + 4 = x + 8
We can further simplify this to
y - x = 8 - 4
y - x = 4.
Solve the equation if 0 degrees<=x<=360 degrees.
tanx=sqrt 3
Answer:
Step-by-step explanation:
hello :
tanx = √3 0°≤x≤360°
x = 60°
x=240°
X = 60 degrees when tan x = [tex]\sqrt{3\\[/tex]
What is tangent of an angle?Tangent of an angle is the ratio of the length of opposite side to the length of adjacent side of a right angled triangle.
Tangent of any angle is given by the equation tan x = [tex]\frac{sin x}{cos x}[/tex]
Now, sin 60° = √3/2 and cos 60° = 1/2
So tan 60° = [tex]\frac{\sqrt{3}/2 }{1/2}[/tex] = √3
Hence for 0 degrees≤ x ≤ 360 degrees, if tan x = [tex]\sqrt{3}[/tex], then x = 60°
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2x10+7*1/10+3*1/100?
Answer:
20.73
Step-by-step explanation:
2x10+7*1/10+3*1/100
20 + 0.7 + 0.03
20.73
Answer:
2x^10+73/100
Step-by-step explanation:
pls mark me brainliest
Leslie can but 88 pound bag of dog food for $7.40 or a 4 pound bag of the same dog found for $5.38 which is better?
Answer:
8 pound bag for $7.40
Step-by-step explanation:
7.40÷8= $0.925→ it means, per pound costs $0.9255.38÷4= $1.345→ it means, per pound costs $1.345Therefore, the first option for 8 pound bag for $7.40 is cheaper and better.
An art collector buys a replica of a famous sculpture. The replica has exactly the same shape as the original but is smaller. The replica is 18 cm tall, and the the
original sculpture is 30 cm tall. If 189 cm of bronze was needed to make the replica, how much bronze was needed to make the original sculpture?
Answer:
The answer is 315 cm of bronze
Step-by-step explanation:
Answer:
315cm
Step-by-step explanation:
For this, we need to set up a proportion.
18/189=30/x
Cross multiply.
18x=189*30
18x=5670
Divide both sides by 18.
x=315
Find the 35th term in the arithmetic sequence: -10,-14,-18,-22,..
Answer:
- 146
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = - 14 - (- 10) = - 14 + 10 = - 4, thus
[tex]a_{35}[/tex] = - 10 + (34 × - 4) = - 10 - 136 = - 146
Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 + 8) ^ 2 sqrt(21) . sqrt(13 + 8) E. 10.5
Answer:
[tex](B)\sqrt{21}\\(C)\sqrt{13+8}[/tex]
Step-by-step explanation:
Given the expression [tex](13 + 8) ^{1/2}[/tex]
Using law of indices: [tex]a^{1/2}=\sqrt{a}[/tex]
[tex](13 + 8) ^{1/2}=\sqrt{13+8}[/tex]
Also:13+8=21
Therefore:
[tex](13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}[/tex]
Need help ples if anyone can
Answer:
k = 45
angle measures are 45, 90, and 45
Step-by-step explanation:
The sum of angle measures is 180
180 = 45 + 2k + k or
180 = 45 + 3k
subtract 45 from both sides
135 = 3k
Divide by 3
45 = k
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in the triangle = 180°
Sum the 3 angles and equate to 180, that is
2k + k + 45 = 180
3k + 45 = 180 ( subtract 45 from both sides )
3k = 135 ( divide both sides by 3 )
k = 45
------------
Thus 2k = 2 × 45 = 90
The 3 angles are 45°, 45° and 90°
An Apple iPod sells for $781.29 and has a mail-in rebate for $55.00. Determine the cost after the rebate if an envelope costs $0.13 and a stamp costs $0.40
Answer:
$725.76
Step-by-step explanation:
Cost of ipod = $781.29
Mail-in rebate = $55.00
Envelope = $0.13
Stamp = $0.40
A mail-in rebate is a mail containing a coupon, receipt or barcode usually in order to receive a certain discount on a purchase.
Cost of the mail-in = $(0.13 + 0.40) = $0.53
Cost of ipod + cost of mail = $781.29 - $0.53 = $780.76
New cost of ipod = (cost of ipod + cost of mail) - amount on mail-in rebate
New cost = $780.76 - $55.00
New cost = $725.76
write a multiple of-6/-3 rational number
Answer:
A multiple of -6/-3 could be 2
Step-by-step explanation:
A multiple is a number that may be divided by another a certain number of times without a remainder. When we divide -6/-3 we get -2 which is rational and doesn't have any remainder.
Other examples: -2,
Brian says that ABCD is a right triangle. Is he correct? (Do the numbers 1 point
work in the Pythagorean Equation?)
Answer yes
Step-by-step explanation: because is solved correctly has right angle
Yes, Brian is right. Using the Pythagorean Theorem with the given side lengths shows near-perfect agreement, confirming triangle BCD is a right triangle.
Yes, Brian is correct. Triangle BCD is a right triangle.
We can see this by looking at the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In triangle BCD, the hypotenuse is BD, which has a length of 21.7 meters. The other two sides, BC and CD, have lengths of 13.5 meters and 17 meters, respectively.
Let's plug these values into the Pythagorean Theorem:
BD² = BC² + CD²
21.7² = 13.5² + 17²
469.69 = 182.25 + 289
469.69 = 471.25
As you can see, the left and right sides of the equation are almost equal, with a difference of only 1.56. This small difference is likely due to rounding errors in the given measurements.
Therefore, we can conclude that triangle BCD is a right triangle, and Brian is correct.
You have 15 cookies. 7 are chocolate chip, 5 are sugar cookies, and 3 are snickerdoodles. You choose one, eat it, and then choose another. What is the probability that you will choose a choc chip cookie, eat it, and then choose another choc chip cookie?
Answer:
20%
Step-by-step explanation:
Let's break this down into simpler terms.
We know that:
There are 15 total cookies.
7 of them are chocolate chip.
Therefore, the ratio of chocolate chip cookies to total cookies is 7:15.
In other words, there is a 7 out of 15 chance that you will pick a chocolate chip cookie the first time. This percentage is 46.666666666667%.
Now, we have to figure out the percentage after you eat it. The new ratio of chocolate chip cookies to total cookies is 6:14.
In other words, there is a 6 out of 14 chance that you will pick a chocolate chip cookie the second time. This percentage is 42.857142857143%.
Now, we have to combine the two, as the second percentage only happens if the first percentage works (if that makes any sense).
Surprisingly, 42.857142857143% of 46.666666666667% rounds to exactly 0.2, which written as a percent is 20%.
Therefore, there is a 20% chance that you will choose a chocolate chip cookie, eat it, and then choose another chocolate chip cookie.
Answer:
Step-by-step explanation:
you will have diabetes
There are 3 strawberry yoghurts, 2 peach yoghurts and 4 cherry yoghurts in a fridge.
Kate takes a yoghurt at random from the fridge.
She eats the yoghurt.
She then takes a second yoghurt at random from the fridge.
Work out the probability that both the yoghurts were the same flavour.
The probability is 0.2778
The solution to the problem.The probability of Kate taking the strawberry yogurt the first time is = 3/9
The probability of Kate taking a peach yogurt for the first time is = 2/9
The probability of Kate taking a cherry yogurt first time is = 4/9
Now for the second time, the total number of yogurts will change from 9 to 8 as any one of the yogurts has been consumed by kate so find the probability of kate eating yogurt will be subtracted by 1 if she had already consumed it once.
The probability of Kate taking the strawberry yogurt the second time is = 2/8
The probability of Kate taking a peach yogurt for the second time is = 1/8
The probability of Kate taking a cherry yogurt a second time is = 3/8
The probability that she consumes the same yogurt consecutively 2 times is = 3/9*2/8+2/9*1/8+4/9*3/8 = 20/72 = 5/18 = 0.2778
Hence the probability of the yogurt being of the same flavor is 0.2778
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4
[tex]4 \sqrt{5} \times 3 \sqrt{5 } [/tex]
5х35
Answer:
60
Step-by-step explanation:
4 sqrt(5) * 3 sqrt(5) =
12 sqrt(5) sqrt(5)
12 *5
60
Which shows a reasonable estimation for 124% of 42 using the distributive property?
A.(120 percent) (40) + (4 percent) (40) = (4,800) + (160) =4,960
B.(100 percent) (40) + (20 percent) (40) = (4000) + (800) = 4,800
C.(100 percent) (40) + (20 percent) (40) = (40) + (8) = 48
D.(100 percent) (40) + (20 percent) (40) = (40) + (80) = 120
Answer:
c
Step-by-step explanation:
saya fikir jee cara tuu
Answer:
its c
Step-by-step explanation:
lul
Which of the following triangles are impossible? Check all that apply. a triangle with angles of 28º, 72º, and 80º a triangle with angles of 17º, 57º, and 106º a triangle with angles of 13º, 48º, and 131º
Answer:
a triangle with angles of 13, 48, and 131 degrees
Step-by-step explanation:
All the triangles equal to 180
Roberto decorates rectangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 ft long and 1/3 foot wide. It takes Roberto 3/4 hour to decorate a 1-square-foot sign. both signs square foot sign. What is the total amount of time in hours it takes Roberto to decorate both signs? Show or explain each step to find your answer.
To find the total time to decorate both signs, calculate the area of each sign, determine the time needed for each sign, and add the times together.
Explanation:To find the total time for decorating both signs:
Calculate the area of each sign by multiplying length and width.Determine the time to decorate each sign based on the area.Add the times together to get the total time.Mean (ul) = 510 and standard deviation (0) = 80
1. What is the probability that a randomly
selected score is greater than 590?
2. A student who scored 750 is in the
percentile.
Answer:
Step-by-step explanation:
1. Use a calculator with distribution functions here. We're interested in finding the area under the standard normal curve to the right of 590, given that the mean is 510 and the standard deviation is 80. Note that 590 = 510 + 80, meaning that 590 is 1 standard deviation above the mean.
According to the Empirical Rule, 68% of data under a standard normal curve lies within 1 standard deviation of the mean. The area from the extreme left of this curve to x = 510 is 0.500, and the additional area under the curve from 510 to 590 is 34% of the total area, or 0.340.
Thus, the desired area is 0.500 + 0.340 = 0.840. This represents the desired probability.
2. What percentile is a score of 750? Find the number of standard deviations to the left of 750:
750 - 510
z-score = ------------------- = 24/8 = 3.00
80
The desired percentile is the area to the left of z = 3.00. Using a calculator, we find this area to be 0.9987. That 750 score is in the 99+ percentile.
a northbound train left at midnight. three hours later, a southbound train left the same station. at 6 am the two trains were 330 miles apart. find the rate of each train if the northbound train traveled 10 miles per hour faster than the southbound train
Answer:
Step-by-step explanation:
In this question u can use relative speed of opposite direction
suppose speed of southbound train is x miles per hour so northbound train has speed of x+10 miles per hour.
Speed of tain1+ speed of train 2= Total distance/ total time
(x+10+x)=330/6
2x+10= 330/6
2x= 45
x=22.5 miles per hour (southbound train)
northbound train 22.5+10=32.5 miles per hour
Final answer:
The speed of the southbound train is 30 miles per hour, and the northbound train travels at a rate of 40 miles per hour, which is 10 miles per hour faster as per the problem's information.
Explanation:
The problem involves determining the rate of two trains, where one train travels northbound and the other southbound. The northbound train left at midnight, and the southbound train left three hours later. At 6 am, they were 330 miles apart. We know the northbound train travels 10 miles per hour faster than the southbound train.
Let's designate the speed of the southbound train as x miles per hour. Then the speed of the northbound train is x + 10 miles per hour. The southbound train travels for 3 hours (from 3 am to 6 am), and the northbound train travels for 6 hours (from midnight to 6 am).
The distance covered by the southbound train can be represented as 3x miles, and the distance covered by the northbound train would be 6(x + 10) miles. Together, these distances total 330 miles. Setting up the equation:
3x + 6(x + 10) = 330
Solving for x we get:
3x + 6x + 60 = 330
9x + 60 = 330
9x = 270
x = 30
Therefore, the speed of the southbound train is 30 miles per hour, and the speed of the northbound train is 40 miles per hour (30 + 10).
Which is a correct statement about the description “six less than the quotient of a number cubed and nine, increased by twelve” when n = 3? Check all that apply.
The correct expression is 6 minus StartFraction n cubed Over 9 EndFraction + 12.
The correct expression is StartFraction n cubed Over 9 EndFraction minus 6 + 12.
One of the steps to determining the value when n = 3 is 3 minus 6 + 12.
One of the steps to determining the value when n = 3 is 6 minus 3 + 12.
The value when n = 3 is 7.
The value when n = 3 is 9.
The value when n = 3 is 15.
The value when n = 3 is 17.
Answer: b, c, f
Step-by-step explanation: just took test on edge
A cargo box is 3 meters wide, 5 meters long and 6 meters tall. Find the surface area of the box. This is a rectangular prism.
A. 63 meters squared
B. 14 meters squared
C. 48 meters squared
D. 126 meters squared
Final answer:
The surface area of the cargo box, which is a rectangular prism with dimensions of 3 meters wide, 5 meters long, and 6 meters tall, is calculated using the formula SA = 2lw + 2lh + 2wh. The correct answer is D. 126 meters squared.
Explanation:
To find the surface area of a rectangular prism, you need to calculate the area of all six faces and sum them up.
The formula for the surface area (SA) of a rectangular prism is SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
In this case, the dimensions of the cargo box are 3 meters wide (w), 5 meters long (l), and 6 meters tall (h). Using the formula:
SA = 2lw + 2lh + 2whSA = 2(5m × 3m) + 2(5m × 6m) + 2(3m × 6m)SA = 2(15m²) + 2(30m²) + 2(18m²)SA = 30m² + 60m² + 36m²SA = 126m²Therefore, the correct answer is D. 126 meters squared.
Please help again...
Answer:
39
Step-by-step explanation:
The angle marked 39 degrees and <2 are vertical angles and vertical angles are equal. This means that <2 = 39 degrees
Answer:
39 is correct
To find angle 3 just get 90 - 39= your answer
Step-by-step explanation:
The rule is vertical angles are congruent and same.
Thanks
Help please !!
I really need help
Lucas has a cup of hot tea. Its temperature is 80°C. To cool it off, Lucas has put an ice cube in the tea. The temperature of the ice cube is
0°C. The cup of tea with the ice cube sits on a table, and the air around it is 25°C. Which of the following correctly describes how heat
will flow in this situation?
a) from the tea to the air
b) from ice to the air
c)from ice to the tea
d) from the air to the tea
The correct answer is c) from ice to the tea.
What is temperature?Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.
Heat always flows from warmer objects to cooler objects, so the heat will flow from the 80°C tea to the 0°C ice cube. The ice cube will absorb the heat from the tea and reduce its temperature, cooling it off. The air around the cup will remain at 25°C and no heat will flow from the tea or the ice cube to the air.
Therefore, option C is the correct answer.
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36 - 6s = 48
How do you get the sum for s
Answer:
48-36=12
-6s=12
12 divided by -6 equals -2
s=-2
S is -2
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
–58 Db
–50 Db
9 Db
50 Db
Answer:
50 Db
Step-by-step explanation:
we know that
The loudness in decibels is given by the formula
[tex]L = 10log(\frac{I}{I_0})[/tex]
where
I = sound intensity in watts per square meter (Watts/m^2)
I₀ = reference intensity, = 10^(-12) Watts/m^2
so
For I=10^(-7) Watts/m^2
substitute in the formula above and solve for L
[tex]L = 10log(\frac{10^{-7} }{10^{-12}})[/tex]
[tex]L = 10log(10^{5})[/tex]
[tex]L = 10 (5)=50\ Db[/tex]
Answer:
D. 50 Db on ed
i took the test and i got it right
A egg is dropped from the roof of a building. the distance it falls varies directly with square of the time it falls. if it takes 1/2 second for the egg to fall eight feet, how long will it take the egg to fall 200 feet?
Answer
12.5 seconds
Step-by-step explanation:
Find the time it takes the egg to travel in 1 second
1/2 second=8 feet
x 2 x 2
1 second=16 feet
Create a proportion:
(x represents time in this equation)
16 feet :1 second=200 feet: x seconds
-solve with cross products
x=12.5
Answer
12.5 seconds
step-by-step explanation:
divide 200 by eight (which would give you the abount of half seconds)and divide by 2
Whats the answer to this?
What appears to be the solution to the system of equations shown in the graph below?
(Please answer Now)
Given:
The system of equation is,
[tex]3x-4y = -2[/tex] -------- (1)
[tex]-6x+5y = 7[/tex] -------- (2)
To find the solution.
To solve the system of equation,
From (1) we get, [tex]3x = -2+4y[/tex]
Putting this value into (2) we get,
[tex]-6x+5y = 7[/tex]
or, [tex]-2(3x)+5y = 7[/tex]
or, [tex]-2(4y-2)+5y = 7[/tex]
or, [tex]-8y+4+5y = 7[/tex]
or, [tex]-3y = 7-4[/tex]
or, [tex]-3y = 3[/tex]
or, [tex]y = -1[/tex]
From (1) we get,
[tex]3x = -2+4(-1)[/tex]
or, [tex]3x = -6[/tex]
or, [tex]x = -2[/tex]
Hence,
The solution is [tex]x= -2[/tex] and [tex]y = -1[/tex]
Given vectors ū = -97 + 8) and 3 = 77 +57, find 2ū - 67 in terms of unit vectors and 7.
a. -607 - 147
c. -577-617
b. - 191-617
d. -137-617
The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).
To find 2ū - 6v in terms of unit vectors, we first need to compute 2ū and 6v, and then subtract 6v from 2ū.
Given vectors ū = <-97, 8> and v = <77, 57>, we can find 2ū and 6v as follows:
1. 2ū = 2<-97, 8> = <-194, 16>
2. 6v = 6<77, 57> = <462, 342>
Now, subtracting 6v from 2ū:
2ū - 6v = <-194, 16> - <462, 342> = <-194 - 462, 16 - 342> = <-656, -326>
Now, we need to express this result in terms of unit vectors. The unit vectors in the x and y directions are <1, 0> and <0, 1> respectively.
The final expression is then -656<1, 0> - 326<0, 1>, which simplifies to -656i - 326j, where i and j are the unit vectors in the x and y directions, respectively.
In summary, 2ū - 6v in terms of unit vectors is -656i - 326j.
Now, if we subtract 67 from each component, we get -656 - 67 in the x-direction and -326 - 67 in the y-direction:
-656 - 67 = -723
-326 - 67 = -393
So, the final result is -723i - 393j.
The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).
2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.
To find 2u - 6v in terms of unit vectors i and j using the given vectors ū = 9i + 8j and v = 7i + 5j, we perform the following calculations:
1. Multiply vector u by 2:
2u = 2(9i + 8j) = 18i + 16j
2. Multiply vector v by 6:
6v = 6(7i + 5j) = 42i + 30j
3. Subtract 6v from 2u:
2u - 6v = (18i + 16j) - (42i + 30j)
= 18i + 16j - 42i - 30j
= (18i - 42i) + (16j - 30j)
= -24i - 14j
Therefore, 2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.
The probable question maybe:
Given vectors ū = 9i + 8j and v = 7i +5j. find 2u - 6v in terms of unit vectors i and j.