Answer: Therefore, the length of a blue bead is 2.5 cm, and the length of a green bead is 1.2 cm. And the length of the bracelet is:
10 × (2.5 + 1.2) = 37 cm.
Step-by-step explanation:
To represent the length of the bracelet, we need to determine the length of each repetition of the basic pattern and then multiply it by the number of times the pattern is repeated.
The length of each repetition of the basic pattern is the sum of the length of one blue bead and one green bead, which is:
B + 1.2 cm
Since the basic pattern is repeated 10 times, the total length of the bracelet is:
10 × (B + 1.2) cm
And we know that the total length of the bracelet is 37 cm, so we can set up an equation:
10 × (B + 1.2) = 37
Simplifying the equation, we can divide both sides by 10:
B + 1.2 = 3.7
Subtracting 1.2 from both sides, we get:
B = 2.5
Therefore, the length of a blue bead is 2.5 cm, and the length of a green bead is 1.2 cm. And the length of the bracelet is:
10 × (2.5 + 1.2) = 37 cm.
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g divided by 9 written as an expression
Answer:
g/9 or g÷9
Step-by-step explanation:
expressions dont have equal signs. hope this helps!
Step-by-step explanation:
The required expression is given as:
\(g \div 9\)
What’s the area ? 50 points
Answer:
The area of the figure is 325.17 ft²===============================
The area of the given shape can be found as a sum of three simpler shapes:
Triangle, rectangle and semi-circle.The semi-circle has the radius of 9 ft, its area is:
A = πr²/2 = 3.14*9²/2 = 127.17 ft²The rectangle has dimensions of 9 ft and 26 - 9 = 17 ft, its area:
A = lw = 9*17 = 153 ft²The triangle has bas of 9 ft and height 26 - 9 - 7 = 10 ft, its area is:
A = bh/2 = 9*10/2 = 45 ft²Area of the shape is:
A = 127.17 + 153 + 45 = 325.17 ft²the values of λ such that a = 2 1 6 0 1 λ λ 0 4 is singular are
we set -46λ = 0. This gives usλ = 0Thus, the value of λ such that a = 2 1 6 0 1 λ λ 0 4 is singular is `λ = 0`.
To determine the values of λ such that a = 2 1 6 0 1 λ λ 0 4 is singular we need to calculate its determinant and set it equal to zero. We can solve this by using a long answer as follows:Long Answer:We need to evaluate the determinant of the matrix `a`. The determinant of `a` is given by|a| = 2 × | 1 λ | − 1 × | 6 0 |+ 4 × | 1 λ |⇒ |a| = 2[1 × λ − λ × 0] − 1[6 × λ − 0 × 1] + 4[1 × 0 − λ × 6]|a| = 2λ − 24λ - 24λ|a| = -46λTo make the determinant zero,
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Alex can run 26 miles in 6 hours, Bethany can run 26 miles in 5 hours and Carol can run 26 miles in 4 hours. If they start together and each run at their constant speeds, how many hours does it take for them to finish a total of 26 miles among the three of them
It takes approximately 86.67 hours for Alex, Bethany, and Carol to collectively finish a total of 26 miles. This is determined by calculating the harmonic mean of their individual running speeds.
To determine how many hours it takes for Alex, Bethany, and Carol to collectively run a total of 26 miles, we need to consider their individual running speeds. Alex runs at a rate of 26 miles in 6 hours, Bethany runs at a rate of 26 miles in 5 hours, and Carol runs at a rate of 26 miles in 4 hours.
To find the total time it takes for them to finish 26 miles together, we can calculate the harmonic mean of their individual running speeds. The harmonic mean is used because it accounts for the different rates at which they run.
The formula for the harmonic mean is given by:
Harmonic Mean = Total Distance / (1 / Speed1 + 1 / Speed2 + 1 / Speed3)
Substituting the values, we have:
Harmonic Mean = 26 / (1 / 6 + 1 / 5 + 1 / 4)
To simplify the equation, we find the common denominator:
Harmonic Mean = 26 / ((5 + 6 + 7) / 60)
Harmonic Mean = 26 / (18 / 60)
Harmonic Mean = 26 / (3 / 10)
Harmonic Mean = 26 * (10 / 3)
Harmonic Mean ≈ 86.67
Therefore, it takes approximately 86.67 hours for Alex, Bethany, and Carol to collectively finish a total of 26 miles.
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Solve forn in the literal equation a (n -5)+6=bn.
Answer: n = 5a-6 / a-b
Step-by-step explanation: Move all of your terms to the left side of the equation and then set the equal to 0. Then, set each of your factors equal to 0, as well.
I hope this helps you out.
The valuation of Company A falls 40% in one week before increasing by 25%25% the next week. If the valuation of Company A ends up at $900 after those 2 weeks, what was its initial valuation? (Note: Disregard the $ sign when gridding your answer.)
The company has an initial valuation of 1200
How to determine the company's initial valuation?From the question, we have the following parameters that can be used in our computation:
Falls = 40%
Increase = 25%
Final valuation = $900
The final valuation of the company can be calculated using
Final valuation = Initial valuation * (1 - Falls) * (1 + Increase)
Substitute the known values in the above equation, so, we have the following representation
900 = Initial valuation * (1 - 40%) * (1 + 25%)
This gives
900 = Initial valuation * 0.75
Divide both sides by 0.75
Initial valuation = 1200
Hence, the initial valuation is $1200
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Explain what a zero, or root, of a function is.
Answer:
A root or zero of a function is a number that, when plugged in for the variable, makes the function equal to zero. Thus, the roots of a polynomial P ( x ) are values of x such that P ( x ) = 0 . The Rational Zeros Theorem
Step-by-step explanation:
HELP ME THIS IS URGENT PLEASE
Answer:
its 24
Step-by-step explanation:
because it is the biggest answer and its bigger than the other variable
This exercise refers to P_2 with the inner product given by evaluation at - 1, 0, and 1. Compute ||p|| and ||g|| for p(t) = 6 + t and q(t) = 4 - 3t^2. ||p|| = (Simplify your answer. Type an exact answer, using radicals as needed.) ||q|| = (Simplify your answer. Type an exact answer, using radicals as needed.)
The norms of the given functions are :
||p|| = √110 and ||q|| = √18.
To compute the norms ||p|| and ||q|| for the given functions p(t) = 6 + t and q(t) = 4 - 3t^2, with the inner product defined by evaluation at -1, 0, and 1, follow these steps:
Step 1: Evaluate p(t) and q(t) at the given points -1, 0, and 1.
For p(t) = 6 + t:
p(-1) = 6 + (-1) = 5
p(0) = 6 + 0 = 6
p(1) = 6 + 1 = 7
For q(t) = 4 - 3t^2:
q(-1) = 4 - 3(-1)^2 = 4 - 3 = 1
q(0) = 4 - 3(0)^2 = 4
q(1) = 4 - 3(1)^2 = 4 - 3 = 1
Step 2: Compute the norms ||p|| and ||q|| using the inner product.
For p(t):
||p|| = √(p(-1)^2 + p(0)^2 + p(1)^2) = √(5^2 + 6^2 + 7^2) = √(25 + 36 + 49) = √110
For q(t):
||q|| = √(q(-1)^2 + q(0)^2 + q(1)^2) = √(1^2 + 4^2 + 1^2) = √(1 + 16 + 1) = √18
Thus, ||p|| = √110 and ||q|| = √18.
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Let
B = {5, 4, 3, 6}
and U be the universal set of natural numbers less than 11. Find the following. (Enter your answers as a comma-separated list. Enter EMPTY or for the empty set.)
B' = {________}
The universal set of natural numbers less than 11 is B' = {1, 2, 7, 8, 9, 10}
To find the complement of set B :
To find the complement of set B (denoted as B') within the universal set U of natural numbers less than 11,
we need to determine which elements in U are not in B.
Given:
B = {5, 4, 3, 6}
U (universal set) = natural numbers less than 11
First, let's list the elements of the universal set U:
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Now, let's find the elements in U that are not in B. This will be the complement of B (B'):
B' = {1, 2, 7, 8, 9, 10}
So, B' = {1, 2, 7, 8, 9, 10}.
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Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2
Answer:
Area of a circle = πr^2 if pi here = 3
then (3 × 81) in^2 = 243 in^2
Hope it helps
Answer:
The area of circle is 254.34 in².
Step-by-step explanation:
Given :
\(\small\purple\bull\) Diameter of circle = 18 inTo Find :
\(\small\purple\bull\) Radius of circle \(\small\purple\bull\) Area of circleUsing Formulas :
\(\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}\)
\(\blue\star\) R = radius \(\blue\star\) D = diameter\(\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}\)
\(\blue\star\) π = 3.14 \(\blue\star\) r = radiusSolution :
Here we have given that diameter of circle is 18 in. So, finding the radius of circle :
\(\implies{\sf{Radius = \dfrac{D}{2}}}\)
\(\implies{\sf{Radius = \dfrac{18}{2}}}\)
\(\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}\)
\(\implies{\sf{Radius = 9 \: in}}\)
\(\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}\)
Hence, the radius of circle is 9 in.
\(\rule{200}2\)
Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :
\(\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}\)
\(\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}\)
\(\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}\)
\(\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}\)
\(\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}\)
\(\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}\)
\(\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}\)
\(\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}\)
\({\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}\)
Hence, the area of circle is 254.34 in².
\(\rule{300}{1.5}\)
Write each equation in standard form.
Y - 4 = -3 (x - 3)
Y + 9 = 2(x + 5)
Solve the system of equations.
– 7x – 10y = 45
-3x - 5y = 25
x =
Y =
Answer:
The solution is (-5, -2).
Step-by-step explanation:
We'll use "elimination by addition and subtraction."
Multiply the second row by -2. Our system
– 7x – 10y = 45
-3x - 5y = 25
becomes:
– 7x – 10y = 45
+6x + 10 y = -50
-------------------------
-x = 5, so that x = -5.
Substituting -5 for x in the second equation results in
-3(-5) - 5y = 25, or 15 - 5y = 25. This reduces to
-5y = 10, so that y must be -2.
The solution is (-5, -2).
Answer:
x=5 y=-8
Step-by-step explanation:
KA
Jeremy likes to paint. He estimates the number of paintings he completes using the function P of w equals one third times w plus four, where w is the number of weeks he spends painting. The function J(y) represents how many weeks per year he spends painting. Which composite function would represent how many paintings Jeremy completes in a year
Therefore , the solution of the given problem of function comes out to be it is compatible with P(J(y)) = 1/3J(y) +4.
What is meant by the word function?Math is a science that studies numbers, their variants, math and the tissues in the area, shapes, and both their real and possible locations. 'Function' refers to the relationship between a set of inputs, which each have a corresponding output. A function is a relationship between inputs in which each input yields a single variable, distinct output.
Here,
Given:
The quantity of paintings is returned by the function P, which accepts a number of months as an argument.
The function J returns the number of weeks in a year after accepting an undefined parameter.
P(weeks annually) = P(J(y)) seems to be the composites function that will provide the annual number of paintings.
Choice C is compatible with P(J(y)) = 1/3J(y) +4.
Therefore , the solution of the given problem of function comes out to be it is compatible with P(J(y)) = 1/3J(y) +4.
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(L7) a=16 mm, b=63 mm, c=65 mmThe triangle is a(n) _____ triangle.
Based on the given side lengths (a=16 mm, b=63 mm, c=65 mm), the triangle is a(n) right triangle. This is because it satisfies the Pythagorean theorem: a² + b² = c² (16² + 63² = 65²).
A right triangle is a triangle with two perpendicular sides and one angle that is a right angle (i.e., a 90-degree angle). The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
The hypotenuse, or side c in the illustration, is the side that is opposite the right angle. Legs are the sides that meet at the correct angle. Side a may be thought of as the side that is opposite angle A and next to angle B, whereas side b is the side that is next to angle A and next to angle B.
A right triangle is considered to be a Pythagorean triangle and its three sides are referred to as a Pythagorean triple if the lengths of all three of its sides are integers.
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In 15 words or fewer, will dividing the two polynomials in the table produce another polynomial? Why or why not?
Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.
No, dividing two polynomials may not result in another polynomial. It can produce a rational function.
A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.
If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.
A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.
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f(x)=6^x for x=2 help please
9514 1404 393
Answer:
f(2) = 36
Step-by-step explanation:
Put 2 where x is and do the arithmetic.
f(2) = 6^2
An exponent of 2 means 6 is a factor two times.
f(2) = 6×6
f(2) = 36
Answer:
36
Step-by-step explanation:
To evaluate f(x) = 6^x at x = 2, substitute 2 for x:
f(2) = 6^2 = 36
One bird has a mass 600 g less than half the mass of a second. If their combined mass is 3900 g, what is the mass of each bird?
plz help me this is a test I've bees stuck on plz help!!!!
oh im sorry i misunderstood the question :(
you have a sample of contaminated benzoic acid that weighs 2.014 g. after performing a proper recrystallization with proper drying, the mass of your purified benzoic acid is 1.611 g. what is your percent recovery rounded to the nearest tenths? do not include the percent symbol in your answer (e.g., if your answer is 10.5%, submit your answer as 10.5).
The percent recovery of benzoic acid is equal to 80.0 if the mass of purified benzoic acid after recrystallization is 1.611 g.
The percent recovery can be described as the amount of a product available after its production and purification.
The percent recovery of benzoic acid can be calculated by using the following formula:
percent recovery of sample = (Mass of purified sample ÷ Mass of contaminated sample) × 100
Substituting the given values of contaminated and purified benzoic acid in this equation;
percent recovery = (1.611 ÷ 2.014) × 100
percent recovery = 0.7999 × 100
percent recovery = 79.99
Rounding it to the nearest tenth;
percent recovery = 80.0
Hence the percent recovery of benzoic acid is calculated to be 80.0
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At the grocery store, 7 pints of ice cream cost $6.85. How much would 25 pints of ice cream cost
Answer:
$24.46
Explanation:
$6.85÷7= 1 pint
you times the answer by 25 = $24.46
Answer:
Hi!
We will solve this using proportions, like this:
4 pints cost 10,08
30 pints cost x
__________________
x = (30 * 10,08)/4
x = 302,4/4
x = 75,6
30 pints of ice cream cost 75,6$.
Hope this helps!
Step-by-step explanation:
greatest common factor
3a^3+9a^2
Answer:
27A+81A =108
Step-by-step explanation:
y=x2+6x+7 Which function has the same solutions as the given function?
y=(x+3)2−2
y=(x+6)2−7
y=(x+4)2+3
y=(x+7)2+6
urgent need answers stat!!!!!
Answer: The first one, y = (x + 3)² - 2.
Step-by-step explanation:
To solve this question, we can see that the given function and the answer options are in different equation forms. The given is in standard, but the answer options are in vertex. We will change the given function into vertex form. This is also known as completing the square.
y = x² + 6x + 7
y = (x² + 6x) + 7
y = (x² + 6x + \(\frac{6}{2} ^2\) - \(\frac{6}{2} ^2\)) + 7
y = (x² + 6x + 9) + 7 - 9
y = (x² + 6x + 9) - 2
y = (x + 3)² - 2
Now, we can see the correct answer option is the first one;
"y=(x+3)2−2"
Suppose you want to determine exactly where the lines y=2x-7/4 and y = 3 - 3x intersect. Use algebra to determine the point of intersection and be
prepared to explain your method.
The point of intersection of the lines would be (19/20, 3/20) which are the lines y=2x-7/4 and y = 3 - 3x intersect each other.
To determine exactly where the lines y = 2x-7/4 and y = 3 - 3x intersect.
We need to find where both lines are intersect,
Thus, we would be required to equate them
⇒ 2x - 7/4 = 3 - 3x
Rearrange the likewise terms in the above equation,
⇒ 2x + 3x = 3 + 7/4
Apply the addition operation, and we get
⇒ 5x = 19/4
⇒ x = 19/(4)(5)
⇒ x = 19/20
Substitute the value of x = 19/20 in the equation y = 3 - 3x, we get
⇒ y = 3 - 3(19/20)
⇒ y = 3 - 57/20
⇒ y = 3/20
Therefore, the point of intersection of the lines would be (19/20, 3/20)
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someone please help with these linear equations problems.
Answer:
5 is A: 80 tickets
6 is G: 4.50x-8.00=32.50
Step-by-step explanation:
how to solve for a cone with a 4.25 height and 3.25 radius
Answer:
Rounded Answer - 47.01
Exact Answer - 47.00935
Step-by-step explanation:
see attached image below!!!
PLZZ give me brainliest
Compute Hometown Property Casualty Insurance Company's combined ratio
after dividends using its data as follows:
Loss Ratio 75%
Expense Ratio,30%
Dividend Ratio 1%
Net Investment income 8%
Hometown Property Casualty Insurance Company's combined ratio, after dividends, can be calculated as 114%. This means that the company is paying out more in losses, expenses, dividends, and taxes than it is earning in premiums and investment income.
The combined ratio is a key metric used in the insurance industry to assess the overall profitability of an insurance company. It is calculated by adding the loss ratio and the expense ratio. In this case, the loss ratio is 75% and the expense ratio is 30%. Therefore, the combined ratio before dividends would be 75% + 30% = 105%.
To calculate the combined ratio after dividends, we need to consider the dividend ratio and the net investment income. The dividend ratio is 1%, which means that 1% of the company's premium revenue is paid out as dividends to shareholders. The net investment income is 8%, representing the return on the company's investments.
To adjust the combined ratio for dividends, we subtract the dividend ratio (1%) from the combined ratio before dividends (105%). This gives us 105% - 1% = 104%. Then, we add the net investment income (8%) to obtain the final combined ratio.
Therefore, the combined ratio after dividends for Hometown Property Casualty Insurance Company is 104% + 8% = 114%. This indicates that the company's expenses and losses, including dividends and taxes, exceed its premium revenue and investment income by 14%. A combined ratio above 100% suggests that the company is operating at a loss, and in this case, Hometown Property Casualty Insurance Company would need to take measures to improve its profitability.
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What is the volume of
this prism in cm??
Answer:
960000
Step-by-step explanation:
1,2 m = 120 cm
0,8 m = 80 cm
1m = 100 cm
120 x 80 x 100 = 960000
Which value of x makes x-3/4 + 2/3 = 17/12 true?
Answer:
Step-by-step explanation:
x - 9/12 + 8/12 = 17/12
x - 1/12 = 17/12
x = 18/12= 3/2 = 1 1/2
Value of x = (4 / 3) which makes the given equation true.
What is variable?" Variable is defined as the value which changes as per the condition act on it."
According to the question,
Given equation,
x - (3/4) + (2/3) = (17 / 12)
Convert all fraction into like fractions we get,
x - (3/4) ×(3/3) +(2/3)×(4/4) = (17 /12)
⇒x - (9/12) + (8 /12) = (17 /12)
⇒x - (1/12) = (17 /12)
⇒x = (17/12) +(1/12)
⇒x= (18 /12)
⇒x= (3/2)
Hence, Value of x = (4 / 3) which makes the given equation true.
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"Just look at the graph," the player's agent said. "Phil's hits have doubled since last year. We are looking for a large raise and a long contract." Look at the graph. A bar graph titled Phil's hits has this year and last year on the x-axis, and number on the y-axis, from 100 to 200 in increments of 20. This year is 180, and last year is 120. How can you redraw this graph so it appears that Phil's hits have quadrupled since last year. a. Use the same scale and make the top bar twice as thick as the bottom bar. b. Alter the scale so the top bar appears four times as long as the bottom bar. c. Both a and b. d. Neither a or b.
Answer:
Awnser is C
Step-by-step explanation:
We just have to make the top bar seem bigger then it actually is
A trapezoid with an area of 36 inches squared.
What is the area of the enlarged trapezoid?
54 in.²
81 in.²
576 in.²
864 in.²
Answer:
B. 81 in.²
Step-by-step explanation:
We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.
The area of the original trapezoid is 36 square inches.
Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.
The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.
1.5 × 1.5 = 2.25
Area of new trapezoid: 2.25 × 36 in²
Area of new trapezoid = 81 in²
The area of the enlarged trapezoid would be 81 in² or option B.