twelve times the sum of a number and 2 is equal to 36. what is the number
Select all that apply. (xyz)2 = _____ The expression without exponents is?
Based on the empirical rule, what percent of the observations will lie between plus or minus two standard deviations from the mean
You use your mobile phone to phone home every day. It costs $15 per month and 18c per minute for phone calls.
How much will you have to pay for 420 minutes of calls including the monthly charge?
A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the height, z, of the trapezoid. In your final answer, include all of the formulas and calculations necessary.
Answer:
2.11 cm
Step-by-step explanation:
As you can see in the picture I put the sides in the trapezoid. Now, let's use the area's formula:
A = [tex]\frac{(B+b)*h}{2}[/tex]
where B is the Largest parallel side, b the smallest parallel side and h is the height.
Now,
20 = [tex]\frac{(6z-1+2z+3)*z}{2}[/tex]
20 = [tex]\frac{(8z^{2}+2z}{2}[/tex]
20 = [tex]4z^{2}+z[/tex]
[tex]4z^{2}+z-20=0[/tex]
Then, we use the cuadratic formula z= [tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex] where a=4, b=1 and c=-20.
z= [tex]\frac{-1+-\sqrt{1-4(4)(-20)} }{8}[/tex]
z = [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]
z = [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]
z = [tex]\frac{-1+-17.91}{8}[/tex]
As we are searching lenght we choose the positive z value
z = [tex]\frac{-1+17.91}{8}[/tex]
z= [tex]\frac{16.91}{8}[/tex]
z = 2.11 cm.
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 6. Instead, she subtracted 6 and then divided the result by 3, giving an answer of 35. What would her answer have been is she had worked the problem correctly?
18+27 write the sum of the numbers as the product of their GCF and another sum
A passenger plane left Rome and flew toward Jakarta. one hour later a cargo plane left flying 26 km/h faster in an effort to catch up to it. After 11 hours the cargo plane finally caught up. find the passenger plane's average speed.
Which of the following is not considered one of the four basic types of auto insurance? a. Collision b. Bodily Injury c. Property Damage d. Legal Responsibility
Answer:
d. Legal Responsibility
Step-by-step explanation:
When purchasing auto insurance, "full coverage" insurance will include:
Collision coverage;
Bodily Injury coverage;
Property damage coverage;
and Comprehensive coverage.
Legal Responsibility is not one of these major types.
Legal Responsibility is not considered as the component of auto insurance because auto insurance only consists of collision, bodily injury, medical payment or personal injury protection and property damage liability. Therefore option (d) is correct.
Further Explanation:
Auto Insurance: It is a contract between two parties of which is the insurer, and the other one is insured. An insurer is a person who agrees to pay the insured in any unforeseen circumstances like accidents, thefts, property damage, etc. In case of auto insurance, the insurance company takes the responsibility of all the damages which are done to the holder of the auto or the auto, but it does not take the responsibility of any legal damage to the insured.
Learn more:
1. Learn more about health care insurance
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2. Learn more about the insurance rules
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3. Learn more about the insurance cover
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Answer details:
Grade: Senior School
Subject: Business Studies
Chapter: Insurance
Keywords: Insurance, collision, bodily injury, insurance claims, legal responsibility, property damage, types of auto insurance, auto insurance, the insurance company, responsibility, damages, holder of the auto, legal damage to the insured, basic type of auto insurance, contract, between two parties, insurer, who agrees to pay, the insured.
Lana earned $49on friday $42 on saturday,and $21 on sunday selling bracelets she sold each bracelet for the same amount what is the most she could have charged for eac bracelet?
The most amount she could have charged for each bracelet is:
$ 7
Step-by-step explanation:It is given that:
Lana earned $49 on Friday $42 on Saturday,and $21 on Sunday selling bracelets.
Also, she sold each bracelet for the same price.
This means that if the maximum cost of each bracelet will be the greatest common divisor i.e. G.C.D. of the amount she earned each day.
which is G.C.D(49,42,21)=7
Hence, the answer is: $ 7
The large rectangle's dimension are three times the dimensions of the small rectangle.
what is critique reasoning
Critique reasoning involves systematically evaluating arguments, identifying assumptions, assessing evidence, and providing reasoned judgments.
Critical reasoning involves analyzing arguments or claims in a systematic and logical manner to evaluate their validity, soundness, and coherence. It entails examining evidence, identifying assumptions, assessing logical consistency, and recognizing fallacies.
Critique reasoning goes beyond merely accepting or rejecting a statement; it involves providing reasoned and well-supported judgments or critiques based on evidence and logical analysis. It helps individuals develop a deeper understanding of complex issues, make informed decisions, and construct persuasive arguments.
Critique reasoning fosters intellectual independence and the ability to engage critically with diverse perspectives and ideas.
Which operation could we perform in order to find the number of milliseconds in a year? 60 * 60 * 24 * 7 * 365 1000 * 60 * 60 * 24 * 365 24 * 60 * 100 * 7 * 52 1000 * 60 * 24 * 7 * 52?
To find the number of milliseconds in a year, multiply the number of milliseconds in a day by the number of days in a year: 86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year.
Explanation:To find the number of milliseconds in a year, we need to multiply the number of milliseconds in a day by the number of days in a year. There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. So, there are 24 * 60 * 60 = 86,400 seconds in a day. And since there are 365 days in a year, we can calculate the number of milliseconds in a year as:
86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year
What is 8.478 in expanded form
You are creating identical picnic baskets using 30 sandwhiches and 42 cookies. What is the greatest number of baskets that you can fill using all of the food?
what is the height of a box with a volume of 50 cubic meters, length of 10 meters, and which of 2 meters
a circle is centered at the point -3,2) and passes through the point (1,5). The radius of the circle is blank units. The point (-7, blank) lies on this circle
Please show the steps in solving B=5/7(F-38) solve for F
is the number /2500 rational or irrational? explain
Answer:
Rational
Step-by-step explanation:
If you ask about number "2500" then it is rational since 2500 can be changed in the form of p/q, where q ≠ 0. Like, 2500, 5000/2 or so on.
and if you ask about "[tex]\frac{number}{2500}[/tex]" then it is also rational and it is terminating rational number because denominator (2500) can be converted in [tex]2^{m} *5^{n}[/tex].
3-i/1+i please answer in a +bi form
which is the value that will make -7x<102
Find the additive inverse of each number. 1. 15 2. – 27 3. 7 9 4. 9 16 5. 0 6. – 1
Which of the following is a factor of x^3-4x^2-18x+9
Suppose that coin 1 has probability 0.7 of coming up heads, and coin 2 has probability 0.6 of coming up heads. if the coin flipped today comes up heads, then we select coin 1 to flip tomorrow, and it if comes up tails, then we select coin 2 to flip tomorrow. if the coin initially flipped is equally likely to be coin 1 or coin 2. what is the probability that the coin flipped after four transitions is coin
Answer:
C. 3/8
Step-by-step explanation:
In your own words, explain the place value relationship when the same two digits are next to each other in a multi digit number.
Find all real solutions
2x² + 4x + 1 = 0
the shortest adult women is 24 inches tall. the tallest adult women is 92 inches tall. write and absolute value equation to represent the minimum and maximum heights
The campsite shop sells boxes of Funshine Cereal.
The base of each box is a 180 mm x 60 mm rectangle.
The shelf where the boxes are displayed is a 65 cm x 35 cm rectangle.
Work out the maximum number of boxes that will fit on the shelf.
Answer:D 3,888
Step-by-step explanation:
Segment MN has endpoints at M(2,5) and N(-4,3). What is the midpoint of the segment?
To find the midpoint of segment MN, we can use the midpoint formula which states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints. Using this formula, we find that the midpoint of segment MN is (-1, 4).
Explanation:To find the midpoint of the segment MN, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints.
Let's calculate the x-coordinate of the midpoint:
x-coordinate = (x1 + x2) / 2 = (2 + (-4)) / 2 = -2 / 2 = -1.
Now, let's calculate the y-coordinate of the midpoint:
y-coordinate = (y1 + y2) / 2 = (5 + 3) / 2 = 8 / 2 = 4.
Therefore, the midpoint of segment MN is (-1, 4).
Final answer:
The midpoint of the segment MN with endpoints M(2,5) and N(-4,3) is (-1, 4).
Explanation:
To find the midpoint of a segment, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
For segment MN with endpoints M(2,5) and N(-4,3), we can calculate the x-coordinate of the midpoint by averaging the x-coordinates:
(2 + (-4)) / 2 = -1
And we can calculate the y-coordinate of the midpoint by averaging the y-coordinates:
(5 + 3) / 2 = 4
Therefore, the midpoint of segment MN is (-1, 4).
Find all real zeros of the function y=-9x-1
Answer:
B.- 1/9
Step-by-step explanation: