Answer:
1. of, applicable to, or referring to all the members of a genus, class, group, or kind; general
Step-by-step explanation:
O
Which of the following could be used to calculate the area of the sector in the circle sho
O
m(Sin)
O
WE OD
m(Sin)2
O n(30in)2
O
r-5 in 30
m(30in)
O
above? (5 points)
The Circle Sector Area correct answer is: O n(30in)2
To calculate the area of the sector in the circle, you would typically use the formula:
Area = (θ/360) * π *\(r^2\)
where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
From the options you provided, the correct choice would be:
O n(30in)2
This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)
Therefore, the Circle Sector Area correct answer is: O n(30in)2
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7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6
How to determine the valueTo determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.
These algebraic expressions are also identified with the presence of arithmetic operations,
These operations are;
AdditionBracketParenthesesSubtractionMultiplicationDivisionFrom the information given, we have that;
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
collect the like terms
7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6
add the like terms
x^7+10x^4+4x^3-5x^11-10x^6
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Alvin is 15 years younger than Elga. The sum of their ages is 45. What is Elga's age?
Answer:
Elga is 30 and Alvin is 15
Step-by-step explanation:
45-15=30
30-15=15
30+15=45
Answer:
\(\huge\boxed{\text{Alvin = 15, Elga = 30}}\)
Step-by-step explanation:
In order to find Alvin and Elgas age, we can use a system of equations.
Let us assume that \(a\) represents Alvin's age and \(e\) represents Elgas age.
We can create two equations:
\(a = e-15\)
\(a+e=45\)
We can now use substitution to find each value. Let's substitute \(a = e-15\) into \(a+e=45\) as a.
\((e - 15) + e = 45\)
We can now simplify this equation and solve for e.
\(2e-15 = 45\\2e = 60\\e = 30\)
So we know that Elga is 30 years old. To find Alvin's age, we can substitute the value of e (30) back into one of the equations. Let's do it for \(a+e=45\).
\(a + 30 = 45\\a = 45-30\\a=15\)
So Elga is 30 years old and Alvin is 15 years old.
Hope this helped!
An older person is 5 years older than six times the age of a younger person. The sum of their ages is 26. Find their ages.
Let x be the age of the younger person.
The older person would be 6x +5 (5 years older than 6 times)
Now add to equal the sum:
x + 6x +5 = 26
Combine like terms:
7x +5 = 26
Subtract 5 from both sides:
7x = 21
Divide both sides by 7:
x = 3
Now you can subtract the age of the younger person from the total age:
26-3 = 23
The ages are 3 and 23
Answer:
3 and 23
Step-by-step explanation:
Solve using substitution.
y = –6
–8x − 7y = –6
Okay so you put -6 in where y is then solve and youll get your answer
-8x-7(-6)=-6
10 times as many as 1 hundred is _____ hundreds are _____thousands.
10 hundreds or 1 thousand.
Further explanation
This question is related to place values.
10 times as many as a number is 10 multiplies the number.
Hence, 10 times as many as 1 hundred is
\boxed{ \ 10 \times 1 \ hundred \rightarrow \boxed{ \ 10 \ hundreds \ } \ }
Furthermore, 10 hundreds have the same meaning as 1 multiplies 10 hundreds which can produce 1 thousand.
\boxed{ \ 1 \times 10 \ hundred \rightarrow \boxed{ \ 1 \ thousand \ } \ }
Quick steps
Part-1
\boxed{ \ 10 \times 1 \ hundred = X \ hundred \ }
\boxed{ \ 10 \ hundred = X \ hundred \ }
Thus, \boxed{\boxed{ \ X = 10 \ }}
Part-2
\boxed{ \ 10 \times 1 \ hundred = Y \ thousand \ }
\boxed{ \ 10 \times 100 = Y \ thousand \ }
\boxed{ \ 1,000 = Y \ thousand \ }
\boxed{ \ 1 \ thousand = Y \ thousand \ }
Thus, \boxed{\boxed{ \ Y = 1 \ }}
- - - - - - -
Conclusions
10 times as many as 1 hundred is _10_ hundreds or _1_ thousand.
Learn more
9 ten thousands divided by 10 (in unit form) brainly.com/question/4786449
How do you write 770,070 in expanded form? brainly.com/question/4725342
100 is ¹/₁₀ of what? brainly.com/question/96535
Keywords: 10 times as many as 1 hundreds, hundreds, thousands, place value, operations, multiply, equal, blank, quick steps
Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
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Which word describes the slope of the line?
O positive
O negative
zero
O undefined
The slope of a horizontal line is always zero.
What is slope?
The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are any two points on the line.
The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.
By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:
slope = change in y / change in x = 0 / (any non-zero value of x) = 0
So, the slope of a horizontal line is always zero.
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Estimate the solution to the following system of equations by graphing
3x+5y=14
6x - 4y=9
Answer choices:
• (5/2, 4/3)
• ( 4/3, 5/2)
• ( 7/3 , -7/2)
• (-5/2 , -7/2)
The solution of Equation are (5/2, 4/3).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3x+5y=14..........(1)
6x - 4y=9..............(2)
Solving equation (1) and (2) we get
3x + 5y = 14
Subtract 3x from both sides.
5y = 14 - 3x
Divide by 5 on both sides.
y = -3/5x + 14/5
and, 6x - 4y = 9
Subtract 6x from both sides.
-4y = 9 - 6x
Divide by -4 on both sides.
y = 3/2x - 9/4
From the graph we get
x = 2.405
y= 1.375
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Find the value of X.
Answer:
Step-by-step explanation:
2x×1=(√3)²
2x=3
x=3/2
Suppose the only measuring cup you own is a one-third measuring cup. Using this measuring cup how many scoops will you need to have 3 2/3 cups of sugar
Answer:
11
Step-by-step explanation:
for each full cup of sugar, you need 3 one-third measuring cups.
we have 3 full cups so 3×3=9
and another 2 for the 2/3, 9+2=11
so a total of 11 scoops
Given −48.132 ÷ −0.84, find the quotient.
40.4
47.292
57.30
−5.73
The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Given −48.132 ÷ −0.84.
Then the value of the expression will be
⇒ −48.132 / −0.84
If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.
⇒ 48.132 / 0.84
⇒ 57.30
The quotient of the expressions −48.132 and −0.84 will be 57.30.
Then the correct option is C.
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A new blood pressure medication has been manufactured and a study is being conducted to determine whether its effectiveness depends on dose. When 50 milligrams of the medication was administered to a simple random sample (SRS) of 40 patients, 12 of them demonstrated lower blood pressure. When 100 milligrams of the medication was administered to another SRS of 35 patients, 14 of them demonstrated lower blood pressure. Which of the following test statistics is an appropriate hypothesis test?
a z-test for the proportional difference is the proper hypothesis test.
What is the deviation in proportions?A hypothesis test can be used to find whether the deviation in proportions impacts the medication's effectivity. We may compare the secondary hypothesis—that the proportions are different—to the null hypothesis.
which states that the dimension of patients who show cut down blood pressure is the same for the two doses of the drug (50 mg and 100 mg).
Popular test statistics like the z-test can be applied to this hypothesis test and other statistical analyses.
\(z = (p1 - p2) / SE\)
where p1 and p2, for the 50 mg and 100 mg doses, respectively, are the sample proportions of patients who show fallen blood pressure, and SE is the standard error of the difference between the proportions.
the samples are assumed to be independent or dependent, impacts the SE formula. The samples in this instance are presumed to be independent because they came from various patients. Consequently, the equation for SE is:
\(SE = \sqrt(p1 \times (1 - p1)/n1 + p2 *\times(1 - p2)/n2)\)
here, the sample sizes for two doses is n1 and n2.
We can compute the z-test statistic based on the sample sizes and proportions and compare the result to a critical value or p-value to decide whether to accept or reject the null hypothesis.
Therefore, a z-test for the proportional difference is the proper hypothesis test.
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Kimmy is at track practice she starts by walking 0.25 km as a warm-up then she runs 2 km she feels tired after running that far so she only walk 0.15 km to cool down if the truck is 400 m long how many times did Kimmy go around the track
Kimmy went around the track 6 times.
What is Track practice ?Track practice typically refers to a training session or practice session for athletes who participate in track and field events such as running, jumping and hurdling.
Kimmy's total distance covered during her warm-up, run, and cool-down is:
0.25 km + 2 km + 0.15 km = 2.4 km
To find how many times Kimmy went around the track, we need to convert the total distance to laps.
Since the track is 400 m long, we can divide 2.4 km by 0.4 km to get:
2.4 km ÷ 0.4 km/lap = 6 laps
Therefore, Kimmy went around the track 6 times.
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Kate bought 30 shares of Stock XYZ at the close price of $9.67. She bought
30 more shares a year later at the price of $11.12. If her broker charges $18
for each transaction, how much money did Kate spend in total to make these
purchases?
O A. $308.10
B. $351.60
C. $659.70
O D. $623.70
the answer is $659.70
Kate spend in total to make these purchases is $659.70. Therefore, option C is the correct answer.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, Kate bought 30 shares of Stock XYZ at the close price of $9.67.
Amount he paid for first 30 shares
= 18 +(30×9.67)
= 18+290.1
= $308.1
Amount he paid for next 30 shares
= 18+(30×11.12)
= 18+333.6
= $351.6
Thus, the total amount paid
= 308.1+351.6
= $659.7
Therefore, option C is the correct answer.
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The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs nine times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Let x, y, and z be the dimensions of the aquarium. Enter your answer in terms of V.) (x, y, z)
Answer:
The dimensions of the aquarium that minimize the cost of the materials:
\(x=y = \sqrt[3]{\frac{2V}{9}} , z = \sqrt[3]{\frac{81V}{4}}\)
Step-by-step explanation:
Let x, y and z be the dimensions of aquarium .
Surface area of an aquarium = xy+2yz+2xz
Volume of aquarium V= \(Length \times Breadth \times Height =xyz----A\)
We are given that slate costs five times as much (per unit area) as glass
So, Cost function : C=9xy+2yz+2xz
Now we will use langrage multiplier to find the dimensions of the aquarium that minimize the cost of the materials.
\(\nabla C = \lamda \nabla V\\(\frac{\partial C}{\patial x},\frac{\partial C}{\partial y}, \frac{\partial C}{\partial z})=\lambda(\frac{\partial V}{\patial x},\frac{\partial V}{\partial y}, \frac{\partial V}{\partial z})\\(9y+2z,9x+2z,2y+2x)=\lambda(yz+zx+xy)\)
So,\(9y+2z=\lambda yz -----1\\9x+2z=\lambda zx -------2\\2y+2x=\lambda xy --------3\)
Multiply 1 ,2 and 3 by x,y and z respectively.
\(9xy+2xz=\lambda xyz ------4\\9xy+2zy=\lambda zxy -------5\\2yz+2xz=\lambda xyz --------6\)
Now equate 4 and 5
9xy+2xz=9xy+2yz
x=y
Substitute y=x in 5 and 6 and equate them
\(9x^2+2xz=2xz+2xz\\9x=2z\\\frac{9x}{2}=z\)
Substitute the values in A
\(Volume = xyz=(x)(x)(\frac{9x}{2})\\Volume V = \frac{9x}{2}x^3\\\sqrt[3]{\frac{2V}{9}}=x\\x=y=\sqrt[3]{\frac{2V}{9}}\\z=\frac{9(\sqrt[3]{\frac{2V}{9}})}{2}\\z=\sqrt[3]{\frac{81V}{4}}\)
Hence,
The dimensions of the aquarium that minimize the cost of the materials:
\(x=y = \sqrt[3]{\frac{2V}{9}} , z = \sqrt[3]{\frac{81V}{4}}\)
A coin contains 9 grams of nickel and 16 grams of copper, for a total weight of 25 grams. What percentage of the metal in the coin is copper
Answer:
Step-by-step explanation:
A coin of 25 grams contains 16 grams of copper.
Then a coin hundred grams contains (100×16)/25 = 64 grams of copper.
Hence the percentage of copper in the coin is 64%.
*I hope that this answer will help you.
Step-by-step explanation:
nickel is 9 grams out of (9 + 16) = 25 grams by weight
9 is what percent of 25?
9 / 25 * 100% = 36%
Object A is moving at 30 ft per sec. Object B is moving at 20 mph.
Answer:
what we have to find or to prove.
Solve the system by graphing x+y=2 and x-3y=18
1. The law of demand predicts that
a. the more consumers purchase a good, the greater the demand for the good
b. consumers are willing to buy more of a good at a lower price than at a higher price
c. as prices go up, the quantity of a particular good that consumers will buy also rises
d. consumers are willing to buy more of a good at a higher price than at a lower price
2. The function of price in a market system
a. is a way of adjusting the balance between the forces of supply and demand
b. acts as an incentive to producers to either increase or decrease the quantity supplied
c. is a means of rationing the available supply among those who demand it
d. all of these
3. A key advantage of the corporate form of business organization is
a. that the business lives on even if the owners of the business die
b. limited liability of stockholders
c.
the ability to raise significant amounts of financial capital
d.
all of these
1) consumers are willing to buy more of a good at a lower price than at a higher price Option B
2) All of these
3) All of these
What is the law of demand?An economic theory known as the law of demand states that, all other things being equal, if a good or service's price rises, consumers will demand fewer units of it, and vice versa.
Price and quantity demanded are inversely related, to put it another way. This is a fundamental concept in economics and plays a key role in shaping market behavior and pricing strategies.
The price system is a way of adjusting the balance between the forces of supply and demand. A key advantage of the corporate form of business organization is the ability to raise significant amounts of financial capital.
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Janae is 4 years younger than Derek. In 7 years the sum of their ages will be 56. How old are they now?
Answer:
I think it's 85 years old
Select the correct answer.
What is the solution to -2|x-1| = -4?
x = 3
x= -1 or x = 3
x = 1 or x= 3
No solutions exist.
Submit
Answer:
x = -1 or x = 3
Calculate the means
95,84,31
70 is the mean
95+84+31 =210
210/3 = 70
HELP VERY URGENT! PLEASEEE HELP!
Answer:
Step-by-step explanation:
Thx for the points bbg
answer this 2x+5+6(x+1)
Answer:
8x + 11
Step-by-step explanation:
2x + 5 + 6x + 6
2x + 6x + 5 + 6
8x + 11
Answer:
8x + 11
Step-by-step explanation:
2x + 5 + 6(x + 1)
multiply 6 with the equation within the parentheses first, or as school calls it, use distributive property
2x + 5 + 6x + 6
add like terms
8x + 11
Question One:
If a raw score corresponds to a z-score of 1.75, what does that tell you about that score in relation to the mean of the distribution?
Question Two:
What if the raw score corresponds to a z-score of -0.85?
Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two: , the raw score is relatively lower than the mean.
If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.
A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two:
If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.
To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.
In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.
By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.
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Which of the following is a process that changes the composition of rocks from one material to another? Science-
Answer: crystallization, metamorphism, and erosion
Step-by-step explanation: Hope this helps!!!
A brick has a mass of 18.3 kg and a volume of 890 cm3.
Evaluate the density of the brick in g/cm3 rounded to 3 significant figures.
1 g/cm3
Answer
Calculate Volume ... the length and mass measurements all had 3 significant figures.
Step-by-step explanation:
G O O G L E
A wire is 71cm long . you wish to cut it into two pieces. One piece is bent into shape of triangle with legs of equal length .The piece is to be bent into shape of circle .
To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)
The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)
The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)
Solving for\(\(x\),\) we divide both sides of the equation by 3:
\(\(x = \frac{71}{3}\).\)
Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.
The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:
\(\(x = 2\pi r\).\)
Substituting the value of x we found earlier, we have:
\(\(\frac{71}{3} = 2\pi r\).\)
Solving for r, we divide both sides of the equation by \(\(2\pi\):\)
\(\(r = \frac{71}{6\pi}\).\)
Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.
In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.
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A farmer's truck is carrying 42/3 tons of hay and straw. If 325 tons of the load is
hay, how much straw is the truck carrying??
Answer:
1\(\frac{4}{15}\) of straw
Step-by-step explanation:
The total amount of straw and hay together is, \(4 \frac{2}{3}\).
and the total amount of hay alone is, \(3\frac{2}{5}\)
All you need to do is subtract the hay from the total, which gives you, the answer above.