(A). The largest target is Target B since it has the widest radius. (B). The size of Object A is around 44 inches around. (C). Target C has a surface area of around 254 square inches.
What does the term "circumference" mean?The length of a circle and perhaps other circular geometric object is referred to as its circumference. Anything in a double circular shape that is linear in one dimension is the perimeter.
A). We must contrast the radii of the three objects in order to compare their sizes.
Target A consists of a radius of 7 inches and a width of 14 inches.
The radius of Target B is 10 inches.
Target C has a circumference of 18π inches, so we can use the formula C = 2πr to find its radius:
18π = 2πr
r = 9 inches
Target B is the main market since it has the greatest radius.
B). The circumference of a circle is given by the formula C = 2πr, where r is the radius. For Target A, r = 7 inches, so:
C = 2πr
C = 2π(7)
C ≈ 44 inches (using 3.14 to approximate)
Target A's circumference is therefore around 44 inches.
C). The area of a circle is given by the formula A = πr², where r is the radius. For Target C, we know its circumference is 18π inches, so we can use the formula for circumference to find its radius:
C = 2πr
18π = 2πr
r = 9 inches
Target C's area is as follows because of its 9-inch radius:
A = πr²
A = π(9)²
A ≈ 254 square inches (using 3.14 to approximate)
Target C therefore has a surface area of around 254 square inches.
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Compute the area of triangle, if x equals 3 less than 6
Answer:
C
Step-by-step explanation:
I think its c because it said x = 3 less than 6, what is three less than 6? 3 so if you were to plug in 3 for x so bc = 3 and ab = 6 you multiply those two together but when you are doing area for a triangle its 1/2 bh so how i do this is i multiply 6 and 3 and get 18 and divide that by 2 and my final answer is 9. Hope this works, let me know if it doesnt!
What is the solution, if any, to the equation 3(x-2)+4=3x+6
Answer:
if I'm correct it's 3(4x5)
BUT RECHECK JUST INCASE
Step-by-step explanation:
Cables and parallel beams are used to support a bridge. The obtuse angles formed by the beams and the bridge are 105°. The acute angle formed by the cable and the bridge is 42°.
Note: Picture is not drawn to scale.
What is the measure of angle X?
Answer:
Step-by-step explanation:
A$AP BEAN$: Khan Academy can help you. Do your work and stop cheating!!!!!
BEAN$ OUT!!!!!
Can y’all please help a gurl out thanks
Answer:
The answer is B
Step-by-step explanation:
To solve this, we need to combine like terms.
(9c-8d) + (2c-6) + (-d+3)
9c + 2c - 8d - d - 6 + 3
11c - 8d - d - 6 + 3
11c - 9d - 6 + 3
11c - 9d - 3
Graph the solution to the following system of inequalities.
2x+3y<9
Y>_ - 2/3x-4
Then give the coordinates of one point in the solution set.
Point in the solution sets D
The graph of 2x + 3y < 9 and y≥ - 2/3x-4 is given in the attachment.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
For the first inequality, 2x + 3y < 9, we will start by graphing the line 2x + 3y = 9, which is the boundary line of the inequality.
To do this, we will solve for y:
2x + 3y = 9
3y = -2x + 9
Divide both sides by 3
y = (-2/3)x + 3
For the second inequality, Y≥ - 2/3x-4
Hence, the graph of 2x + 3y < 9 and y≥ - 2/3x-4 is given in the attachment.
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There are 15 students in Mrs. Jones’ class who are going to the band competition. If 60% of her students are going to the competition, how many students are there in the class in all?
15 - 60%
x - 100%
1500 = 60x
x = 25
∴ There are 25 students in the class in all.
I need help like gosh
Answer:
The outputs are in order:
5
2
1
2
5
Answer:
5.2.1.2.5
Step-by-step explanation:
I need help on this asap!
The inequalities that represent the regular price of eyeglass frames will be 0.4r ≤ 120 and r ≥ 4(360/5).
How to calculate the InequalitiesIf we let r represent the regular price of the eyeglass frames, then we can write the following two inequalities based on the given information:
0.4r ≤ 120
This inequality represents the fact that the lowest regular price for the eyeglass frames is $120. We use 0.4 because a 60% discount means that the price paid is 40% of the regular price.
Also, r ≥ 4(360/5) as this inequality represents the fact that the highest regular price for the eyeglass frames is $360. We use 4(360/5) because a 75% discount means that the price paid is 25% of the regular price, which is equivalent to multiplying the regular price by 0.25. Then, 4 times that amount gives us the regular price, which is $360 in this case.
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Juan is deciding between two truck rental companies. Company A charges an initial fee of $65 for the rental plus $3 per mile driven. Company B charges an initial fee of $100 for the rental plus $2 per mile driven. Let A represent the amount Company A would charge if Juan drives a miles, and let B represent the amount Company B would charge if Juan drives a miles. Write an equation for each situation in terms of x, and determine the number of miles driven, x, that would make the cost of each company the same.
Answer:
35 miles.
Step-by-step explanation:
A=3x+65
B=2x+100
3x+65=2x+100
x+65=100
x=35
Wite the first five terms of the sequence whose general term, a_(n), is given as a_(e)=2n-8.
The first five terms of the sequence whose general term is given as a_(n)=2n-8 are a_1=-6, a_2=-4, a_3=-2, a_4=0, and a_5=2.
To explain this in more detail, the general term for a sequence is given by an equation in the form a_(n)= some expression. In this case, the expression is 2n-8, so it can be read as “2 times the term number minus 8”.
To calculate the first term, we substitute n=1 into the equation and solve, so a_1=2*1-8=-6. To calculate the second term, we substitute n=2 into the equation and solve, so a_2=2*2-8=-4. Continuing in this manner, we calculate the third term as a_3=2*3-8=-2, the fourth term as a_4=2*4-8=0, and the fifth term as a_5=2*5-8=2.
Therefore, the first five terms of the sequence are a_1=-6, a_2=-4, a_3=-2, a_4=0, and a_5=2.
In conclusion, to find the first five terms of a sequence given by a general term a_(n)= some expression, substitute the values n=1, n=2, n=3, n=4, and n=5 into the expression and solve to get the desired terms.
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A toolbox is 2 ft high, and its width is 3 ft less than its length. If its volume is 80 ft³, find the length and width of the box.
The length and width of the toolbox are 8 feet and 5 feet respectively.
What is the length of the toolbox?The volume of a rectangular prism is expressed as;
V = w × h × l
Where w is the width, h is height and l is length.
Given that the volume of the toolbox is 80 cubic feet, so we can write:
V = w × h × l = 80ft³
Next, we know that the width is 3 feet less than the length, so we can write:
w = l - 3
Now we can substitute the second equation into the first equation to get an equation with just one variable:
V = w × h × l = l(l - 3)(2) = 80
Simplifying this equation, we get:
2l² - 6l - 80 = 0
We can solve this quadratic equation using the quadratic formula:
l = (-b ± √(b² - 4ac)) / 2a
where a = 2, b = -6, and c = -80. Plugging in these values, we get:
l = (6 ± √(6² - 4(2)(-80))) / 4
l = (6 ± √(676)) / 4
We take the positive value of l since the length must be positive, so we get:
l = (6 + 26) / 4
l = 8
Now we can use the second equation (w = l - 3) to find the width:
w = l - 3
w = 8 - 3
w = 5
Therefore, the length of the toolbox is 8 feet and the width is 5 feet.
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Abstract Algebra: Let ???? be the group of all real-valued functions with domain ℝ under addition. Let H be the subset of ???? consisting of all functions that are differentiable. Determine if H is a subgroup of ????.
Yes, H is a subgroup. We can prove this by using the subgroup criterion, which states that a subset H of a group G is a subgroup if and only if it satisfies the following three conditions:
1. The identity element of G is in H.
2. If h1 and h2 are in H, then h1*h2 is in H.
3. If h is in H, then h^(-1) is in H.
Let's check if these conditions are satisfied for H:
1. The identity element of ???? is the zero function, f(x) = 0, which is differentiable. Therefore, the identity element is in H.
2. If h1 and h2 are in H, then they are both differentiable functions. The sum of two differentiable functions is also differentiable, so h1 + h2 is in H.
3. If h is in H, then it is a differentiable function. The inverse of a differentiable function under addition is its negative, which is also differentiable. Therefore,[tex]h^{-1} = -h[/tex] is in H.Since all three conditions are satisfied, H is a subgroup.
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$8,374.78 $6,741.75 What are the complex solutions to the following equation? 2x^(2)+4x+6=0
The complex solutions to the given equation are -1 + i√2 and -1 - i√2.
To determine the complex solutions to the equation, we can first simplify the quadratic equation by dividing each term by 2. This gives x² + 2x + 3 = 0.
The discriminant (b² - 4ac) can be calculated to find the nature of roots.
b² - 4ac = 2² - 4(1)(3) = 4 - 12 = -8
As the discriminant is less than 0, the roots are imaginary roots. That is, the roots are complex numbers.
To find the roots of this quadratic equation, the following steps can be followed.
Since the coefficient of x² is 1, the quadratic formula can be used to solve the given quadratic equation. The quadratic formula is given by
x = [-b ± √(b² - 4ac)] / 2a
Substitute the given values into the formula.
x = [-2 ± √(-8)] / 2
On simplifying the above expression,
x = [-2 ± 2i√2] / 2= -1 ± i√2
Therefore, -1 + i√2 and -1 - i√2 are the complex roots or solutions of the given quadratic equation.
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A regular hexagon is a polygon that has six sides with equal length and six interior angles with equal measure. In Figure 1, regular hexagon ABCDEF has side length 2x and its vertices lie on the circle with centre O. The diagonals AD, BE and CF divide ABCDEF into six congruent equilateral triangles. (a) In terms of x, what is the radius of the circle?
radius of the circle is sqrt(3)x.
The radius of the circle can be found by using the Pythagorean Theorem. The side lengths of each equilateral triangle created by the diagonals is 2x, so the hypotenuse of the triangle is sqrt(3)x. Since the hypotenuse of each triangle is the same as the radius of the circle, the radius of the circle is sqrt(3)x.
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34.34. A P-value is
A. the correlation between two variables
B. the ratio between the test statistic and the standard error
C. the probability of incorrectly rejecting the null hypothesis
D. None of the above
E. the same as the significance level
The correct answer is C. the probability of incorrectly rejecting the null hypothesis.
A P-value is used in hypothesis testing to determine the likelihood of observing a test statistic as extreme as the one observed under the null hypothesis. It is a measure of the strength of evidence against the null hypothesis.
A small P-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis. A large P-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
It is important to note that a P-value is not the same as the significance level (option E), which is the threshold used to determine whether to reject or fail to reject the null hypothesis.
The P-value is also not the same as the correlation between two variables (option A), which measures the strength of a linear relationship between two variables.
The P-value is also not the ratio between the test statistic and the standard error (option B), which is used to calculate the P-value but is not the same thing.
Therefore, the correct answer is option C, the probability of incorrectly rejecting the null hypothesis.
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Identify the terms, the degree of each term and the degree of the polynomial. Then identify the leading term, the leading coefficient, and the constant term. -5s^(7)-8s^(4)+6s^(3)+4s-6
Terms: -5s^(7), -8s^(4), 6s^(3), 4s, and -6
Degree of each term: 7, 4, 3, 1, and 0
Degree of the polynomial: 7
Leading term: -5s^(7)
Leading coefficient: -5
Constant term: -6
The terms of the polynomial are -5s^(7), -8s^(4), 6s^(3), 4s, and -6. The degree of each term is 7, 4, 3, 1, and 0, respectively. The degree of the polynomial is the highest degree of any of its terms, which is 7.
The leading term is the term with the highest degree, which is -5s^(7). The leading coefficient is the coefficient of the leading term, which is -5. The constant term is the term with a degree of 0, which is -6.
So, the terms are -5s^(7), -8s^(4), 6s^(3), 4s, and -6; the degree of each term is 7, 4, 3, 1, and 0; the degree of the polynomial is 7; the leading term is -5s^(7); the leading coefficient is -5; and the constant term is -6.
Terms: -5s^(7), -8s^(4), 6s^(3), 4s, and -6
Degree of each term: 7, 4, 3, 1, and 0
Degree of the polynomial: 7
Leading term: -5s^(7)
Leading coefficient: -5
Constant term: -6
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HELP i have a exponential functions nd i need to know if my word problem is solve able pls
The Population of salmonella
doubles in size every 25 hours.
There are about 1.35 million
infections every year, determine
how many bacteria is present
every year.
Yes, this word problem is solvable using exponential functions.
To solve this problem, we need to use the formula for exponential growth:
P(t) = P0 * e^(rt)
where P(t) is the population after t hours, P0 is the initial population, r is the growth rate, and e is the mathematical constant approximately equal to 2.71828.
In this problem, we are given that the population doubles in size every 25 hours. This means that the growth rate is 1/25, since the population is multiplying by 2 each time.
We are also given that there are about 1.35 million infections every year. Since there are 365 days in a year, this means there are about 1.35 million/365 = 3699.18 infections per day.
We can now use this information to find the initial population:
P0 = 3699.18 / e^(1/25 * 24 * 365)
P0 ≈ 2135.05
So the initial population is about 2135.05 bacteria.
To find the population after one year, we can use the formula again:
P(365 * 24) = 2135.05 * e^(1/25 * 24 * 365)
P(365 * 24) ≈ 3.89 x 10^18
Therefore, there are approximately 3.89 x 10^18 bacteria present after one year.
HELP A GIRL OUT PLEASEEEEEEEEEE
Answer: C
Step-by-step explanation:
replace n=1 with f(n)= 5n-2 we have
f(1)=3 => remove answers B and D
f(n)= 5n-2 so f(n-1)= 5(n-1) -2=5n-7
Try with answers C and D to see if it satisfies this
f(n)= f(n-1)+5= 5n - 7+5=5n-2 => C is correct
Evaluate. Write your answer as a fraction or whole number without exponents. 5^-4
Answer:
1 / 625
Step-by-step explanation:
To write 5^-24 without exponents, simplify.
5^-4
1 / 5^4
1 / 625 or .0016
Y varies inversely as x. If x = 8 when y = 30, find x when y = 20
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=8\\ y=30 \end{cases} \\\\\\ 30=\cfrac{k}{8}\implies 240=k\hspace{9em}\boxed{y=\cfrac{240}{x}} \\\\\\ \textit{when y = 20, what's "x"?}\qquad 20=\cfrac{240}{x}\implies x=\cfrac{240}{20}\implies x=12[/tex]
pleaseweeee helppppp
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
Answer:
A
[tex]2y {}^{4} \div x {}^{4} [/tex]
Step-by-step explanation:
Divide 14 by 7 it will be 2.
Now divide the variables.
X variable will give you X{}^{-4} and y{}^{4}.
So bring X variable in the denominator to make it positive.
So your answer will be option A.
Answer:
A
Step-by-step explanation:
It was right for me
HELP! PLEASE ND THANK YOU
The equation that gives the cost of each juice bottle is 24j + 2.19 = 40.83
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.
Let j represent the cost of each juice.
Sophie bought a popcorn for $2.19 and 24 juice bottles for a total of $40.83.
The equation that represents this problem is:
24j + 2.19 = 40.83
The equation is 24j + 2.19 = 40.83
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Jiang is building a doghouse for her new puppy. The image below is what the base of the house will look like. What is the area of the dog bed that Jiang will need to make to fit the entire base of the dog house
Answer:
Step-by-step explanation:
lets take the top part as 1 and the seconds part as 2
so for the first part
1 Area= L*B
so 8*5 =40
2 Area=L*B
so 11*4=44
44+40=84cm2
Write down the value of the digit in colour as a fraction with a denominator that is a power of 10. a) 0,453 b)43,1 c)92,303 d)2,3214
Answer:
a) The digit in the hundredths place in 0.453 is 3. Therefore, the value of the digit in color is 3/100.
b) The digit in the tenths place in 43.1 is 1. Therefore, the value of the digit in color is 1/10.
c) The digit in the thousandths place in 92.303 is 3. Therefore, the value of the digit in color is 3/1000.
d) The digit in the ten-thousandths place in 2.3214 is 1. Therefore, the value of the digit in color is 1/10,000.
Can someone help with this please?
According to the Synthetic Division, the Quotient is equal to 7x² -4x + 5 and the Remainder is equal to 8.
Synthetic Division: What is it?Synthetic division can divide two polynomials more quickly than the standard long division algorithm.
With this method, the dividend and divisor polynomials are reduced to a set of numerical numbers.
Given:
(7x³-25x² +17x -7) ÷ (x-3).
So, Synthetic Division for this is as follows:
(x-3) | (7x³-25x² +17x -7) | 7x² -4x + 5
7x³-21x²
_________
-4x² + 17x
-4x² + 12x
_______________
5x - 7
5x - 15
________
8
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Solve. Check for extraneous solutions. 7y+3−6y+9=0
The solution of the given expression is y = -12 and there are no extraneous solutions.
What in algebra is a superfluous solution?A solution to an equation that appears during the solving process but does not fulfil the original problem is known as an extraneous solution. In other words, it is a solution that, when inserted back into the original equation, yields an untrue assertion. Extraneous solutions typically result from certain algebraic operations, such squaring an equation's two sides, which might introduce new solutions that don't truly satisfy the original problem.
The given expression is:
7y+3−6y+9=0
y = -12
Substitute y = -12 back into the original equation:
7y + 3 - 6y + 9 = 0
7(-12) + 3 - 6(-12) + 9 = 0
-84 + 3 + 72 + 9 = 0
The left-hand side simplifies to:
0 = 0
Hence, the solution of the given expression is y = -12 and there are no extraneous solutions.
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when f(x)=4 what is the of x
When f(x) = 4, then, the value of x = 2 (domain = 2, range = 4).
How did we determine the value of x?According to the mapping above, the given relationship is bijective (one-to-one and onto or one-to-one correspondence) because each element of the range is mapped to by exactly one element of the domain.
When we say a relationship is bijective, it means the satisfies both the injective (one-to-one function) and surjective function (onto function) properties. Therefore, as a result, f(x)=4 implies f(2)=4 or simply x=2.
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Write an equation for the nth term of the arithmetic seqeuence. Then find a10-
-6,-9, -12,-15, ...
an
11
a10
Given- A sequence as -6,-9,-12,-15
To find- The equation for the nth term of the arithmetic sequence and to find the value of [tex]a_{10}[/tex].
Explanation- The common difference is [tex]-9-(-6)=-3[/tex]
We know the arithmetic sequence formula is
[tex]a_n=a_1+(n-1)d\\a_n=-6+(n-1)(-3)[/tex]
When n=10
[tex]a_{10}=-6+(10-1)(-3)\\a_{10}=-6+9(-3)\\a_{10}=-6-27\\a_{10}=-33[/tex]
Final answer- The value of 10th term is -33.
How many times as great as the value of 4 in 4,670 is the value of 4 in 5,040
The value of the digit 4 in 5,040 is 100 times more than that of the digit 4 in 4,670.
At the unit place of both numerals, there is a digit 4. The place value of a digit determines how valuable it is in a number. The position of the digit from the number's rightmost side determines its place value.
The value of the digit 4 in the tens place of the number 4,670 is 4 x 10 = 40.
The value of the digit 4 in the thousands position of the number 5,040 is 4 x 1000, or 4000.
Therefore, As 4000/40 = 100, the value of the digit 4 in 5,040 is 100 times more than that of the digit 4 in 4,670.
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measure the height of the tin in mm
The measure of the height of the tin in mm can be found using the steps below.
What are Measurements?
Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Here, the activity is to measure the height of a tin.
Height of the tin is the vertical distance from the base of the tin to the top of the tin.
The height of the tin is the exact straight line measurement when the tin is placed upright on a flat surface.
The measurement has to be in millimeters.
So the best tool is the ruler.
Place the ruler vertically with point 0 at the baseline of the tin.
Mark the point in millimeters that the ruler coincides with the top of the tin.
Read the height to the nearest millimeter.
Hence, the height of the tin can be measured as above.
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The complete Question:
Measure the height of the tin in the mm and write down the real height in mm