Answer:
c. copy an angle.
there's no angle in this as far as I can see.
21x² - 2x + 1/2 =0
find the following quadratic equation by factorization method
PLESE SOMEONE HELP
Step-by-step explanation:
21x²-2x +1/2 = 0
x² - 2x ×21 + 1/2× 21 = 0
The table to the right shows the volume discounts offered by a company, where x is the volume of a purchase in dollars. Assume that the volume discounts in the table apply to the entire purchase. That is, if the volume x satisfies $300≤x<$1,000, the entire purchase is discounted 4%. Answer a) and b) below.
$300≤x<$1,000
$1,000≤x<$3,000
$3,000≤x<$5,000
$5,000≤x
4%
5%
6%
10%
Volume Discount
(Excluding tax)
Volume($x)
Discount Amount
Question content area bottom
Part 1
a) If x is the volume of a purchase before the discount is applied, write a piecewise definition for the discounted price D(x) of this purchase.
D(x)= x if 0≤x<300 enter your response here if 300≤x<1,000 0.95x if 1,000≤x<3,000 enter your response here if 3,000≤x<5,000 0.90x 5,000≤x
The piecewise function for the discounted price of the purchase is given by:
D(x) = 0.96x, 300≤x<1,000.D(x) = 0.95x, 1,000≤x<3,000.D(x) = 0.94x, 3,000≤x<5,000.D(x) = 0.9x, 5,000≤x.What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
For $300≤x<$1,000, the discount is of 4%, hence the discounted price is 96% of the original price, that is:
D(x) = 0.96x, 300≤x<1,000
For $1,000≤x<$3,000, the discount is of 5%, hence the discounted price is 95% of the original price, that is:
D(x) = 0.95x, 1,000≤x<3,000.
For $3,000≤x<$5,000, the discount is of 6%, hence the discounted price is 94% of the original price, that is:
D(x) = 0.94x, 3,000≤x<5,000.
For $5,000≤x, the discount is of 10%, hence the discounted price is 90% of the original price, that is:
D(x) = 0.9x, 5,000≤x.
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Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
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For distinct complex numbers \( \rm z_1,z_2, \cdots, z_{673},\) the polynomial
\( \rm(x - z_1 {)}^3(x - z_2 {)}^3 \dots(x - z_{673} {)}^3\)
can be expressed as
\( \rm {x}^{2019} + 20 {x}^{2018} + {19}x^{2017} + g(x),\)
where g(x) is a polynomial with complex coefficients and with degree at most 2016.
\( \rm The \: value \: of \left | \sum \limits_{1 \leq j < k \leq673 }z_{j} z_k\right| \)
can be expressed in the form m/n, where m and n are relatively prime positive integers. Find m+n.
Let
\(S = \displaystyle \sum_{1\le j<k\le673} z_jz_k\)
and
\(p_{\mu,\nu}(x) = (x-z_1)^\mu (x-z_2)^\mu \cdots (x-z_\nu)^\mu\)
The \(z_jz_k\) terms occur in the coefficient of the \(x^{\mu\nu-2}\) term, given by
\(\displaystyle \left[x^{\mu\nu-2}\right] p_{\mu,\nu} = \binom\mu2 \sum_{r=j}^\nu z_j^2 + \mu^2 \sum_{1 \le j < k \le \nu} z_jz_k\)
(essentially due to Vieta's formulas)
With \(\mu=3\) and \(\nu=673\), we have
\(\displaystyle \left[x^{2017}\right] p_{3,673} = \binom32 \sum_{j=1}^{673} z_j^2 + 3^2 S \\\\ ~~~~ \implies S = \frac{19}9 - \frac13 \sum_{j=1}^{673} z_j^2 \\\\ ~~~~ \implies S = \frac{19}9 - \frac13 \left(\left(\sum_{j=1}^{673} z_j\right)^2 - 2 S\right) \\\\ ~~~~ \implies S = \frac{19}3 - \left(\sum_{j=1}^{673} z_j\right)^2\)
The remaining sum on the right is the sum of the roots of \(\sqrt[3]{p_{3,673}(x)} = p_{1,673}(x)\).
Recall that the sum of the roots of a polynomial
\(P_n(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_0\)
is \(-\frac{a_{n-1}}{a_n}\). Then the sum of the roots of \(p_{3,673}(x)\) is -20, which is 3 times the sum of the roots (counting multiplicity) of \(p_{1,673}\), so
\(\displaystyle \sum_{j=1}^{673} z_j = -\dfrac{20}3 \\\\ ~~~~ \implies S = \frac{19}3 - \left(-\frac{20}3\right)^2 = -\frac{343}9 \\\\ ~~~~ \implies |S| = \frac{343}9, m=343, n=9 \implies m+n = \boxed{352}\)
8 avocados cost 4 dollars how much is nine
Answer:
$4.50
Step-by-step explanation:
because each avocado is .50 cents.
What is the sum of the following equation?
three tenths plus thirty nine hundredths equals blank
Answer:
Step-by-step explanation:
Writing out the word question in numbers: three tenths plus thirty nine hundredths equals blank -
3/10 + 39/100 = ?
= 30/100 + 39/100
= 69/100
or 0.69 or sixty nine hundredths.
First convert words to no
three tenths=3/10thirty nine hundreds=39/100find sum
3/10+39/10030+39/10069/1000.69HELP ME ASAP! IM STRUGGLING
Find the solution to the following system by substitution.
y = x + 3
y = 3x + 1
A. (0,1)
B. (1,4)
C. (2,5)
D. (-1,2)
choose all the polygons
Answer:
A, B, E, F
Step-by-step explanation:
A polygon is ANY shape formed with only straight lines.
Yooo help again
20 characters
20 characters
20 characters
20 characters
20 characters
Answer:
A
Step-by-step explanation:
X always equals 0 :)
5÷(4-3).3 evaluat'te
Answer:
1.5 thats the answer
Step-by-step explanation:
1.5
If l || m , find the values of x and y .
Answer:
Can you give me an equation please and ill change this to the correct answer
Step-by-step explanation:
Answer:
x = 21, y = 15
Step-by-step explanation:
\((6x + 7) \degree + (3x - 16) \degree = 180 \degree \\ (exterior \: \angle s \: ) \\ \\ (9x - 9) \degree = 180 \degree \\ \\ 9x - 9 = 180 \\ \\ 9x = 180 + 9 \\ \\ 9x = 189 \\ \\ x = \frac{189}{9} \\ \\ x = 21 \\ \\ (11y - 32) \degree = (6x + 7) \degree \\ (vertical \: \angle s) \\ \\ (11y - 32) \degree = (6\times 21- 16) \degree \\ \\ (11y - 32) \degree = (126 + 7) \degree \\\\ (11y - 32) \degree = 133 \degree \\ \\ 11y - 32 = 133 \\ \\ 11y = 133 + 32 \\ \\ 11y = 165 \\ \\ y = \frac{165}{11} \\ \\ y = 15\)
5. Select all expressions that are equivalent to 3^8.
A. 3^2x3^4
B. 3²x3^6
C. 3^16/3^2
D. 3^12/3^4
E. (3^4)²
F. (3¹)^7
The expressions that are equivalent to 3^8 are:
B 3²x3^6D. 3^12/3^4E. (3^4)²How to solve the expressionsWe have to solve these out
3^8. = 6561
From the options
A. 3^2x3^4
= 9 x 81
= 729
B 3²x3^6
= 9 x 729
= 6561
C. 3^16/3^2
= 43046721/9
= 4782969
d. 3^12/3^4
= 531441 / 81
= 6561
E. (3^4)²
= 3⁴ x 3⁴
= 3⁴⁺⁴
= 3⁸
= 6561
F. (3¹)^7
= 3⁷
= 2187
The expressions that are equivalent to 3^8 are:
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Let (a, 0) and (0, b) denote the x- and y-intercepts of any tangent line to the curve √ x + √y = √ c. Find the number c so that a + b = 10.
The value of c that satisfies the condition a + b = 10 is 10.
To find the value of c such that the sum of the x- and y-intercepts of any tangent line to the curve √x + √y = √c is equal to 10, we can use the fact that the x-intercept occurs when y = 0, and the y-intercept occurs when x = 0.
First, let's find the x-intercept. When y = 0, we can substitute this value into the equation:
√x + √0 = √c
Simplifying, we have:
√x = √c
Squaring both sides of the equation, we get:
x = c
So, the x-intercept is given by (c, 0).
Next, let's find the y-intercept. When x = 0, we can substitute this value into the equation:
√0 + √y = √c
Simplifying, we have:
√y = √c
Squaring both sides of the equation, we get:
y = c
So, the y-intercept is given by (0, c).
Since we want the sum of the x- and y-intercepts to be equal to 10, we have:
c + 0 = 10
Simplifying, we find:
c = 10
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1. Which of the following is equivalent to 6/10? 5/9 9/15 8/12 36/100
i need help
g(x) = x - 7; x = 4
k(x) - 3/4x -11; x = -12
Answer:
g(x) = -3
k(x)= -2
Which of the following is false?
A triangle can be drawn
with only one obtuse angle
and two acute angles.
A triangle can be drawn
with 3 acute angles.
A triangle can be drawn
with only one right angle
and two acute angles.
A triangle can be drawn
with 2 obtuse and one acute
angles.
I need help with this probelm please
Given the linear function equation state the function rate. y=-5x-9 Enter your answer in the box. m =
Answer:
-5
Step-by-step explanation:
The function is in the form y=mx+b
slope-intercept form
this makes the slope = to -5
Nolan Walker decided to buy a used snowmobile since his credit union was offering such low interest rates. He borrowed $2,700 at 3.5% on December 26, 2019, and paid it off February 21, 2021. How much did he pay in interest? (Assume ordinary interest and no leapyear.) (Use Days in a year table.) (Do not round intermediate calculations. Round your answer to the nearest cent.)
Interest Paid?
Using the formula for simple interest, it is found that he paid $119.87 in interest.
The simple interest formula is given by:
\(E = PIt\)
E is the amount of interest earned.P is the principal(the amount of money invested). I is the interest rate(yearly, as a decimal).t is the time, in years.In this problem:
Borrowed $2,700, thus \(P = 2700\)Interest rate of 3.5%, thus \(I = 0.035\)From December 26, 2019 to February 21, 2021, there were 423 days, thus the time in years is \(t = \frac{423}{365} = 1.2685\)Thus, the interest paid was of:
\(E = PIt = 2700(0.035)(1.2685) = 119.87\)
$119.87.
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A Certain sum of money of simple
interest amount to $$1,300 ire 4 years
and to #11525 in 7 years - Find
the sum and the rate percent
The required rate of simple interest is 1.75%.
Here, we have,
(Principal + Interest) is a straightforward interest equation.
A = P(1 + rt)
Where: A is the sum of the accrued principal and interest.
Principal Amount is P.
I is the interest rate.
r is the annual percentage rate of interest, or R/100.
R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.
Since I = Prt,
the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,
which may be represented as A = P(1 + rt).
Given: Principal is $1,300
Rate is 7% and the amount earned that is A-P is $159.25.
A = P(1 + rt)
Therefore substituting the values in the above mentioned equation, we get:
159.25= 1300(1+r×7)
On solving we get,
r= 1.75%
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complete question:
At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.
What rate of simple interest is offered at the
Blue Bank?
help me pls thank you alot!
Selina is remodeling her home. She installed a low-flow toilet in her home that flushes 0.8 gallon each time. She replaced her showerhead with a low-flow showerhead that releases 1.5 gal/min. She flushes 12 times a day and showers for 10 minutes a day. On average, her appliances use 40.2 gal/day. Assuming no other appliance use, how much less water will she use than the average U.S. citizen?
The average U.S. citizen uses approximately 88 gallons of water a day.
What is Frequency?
Frequency is a measure of how often an event occurs within a given period of time. It is typically expressed as the number of occurrences of a given event per unit of time. Frequency can be used to measure a variety of phenomena such as the frequency of sound in a given environment or the frequency of a particular chemical element in a given sample.
Selina's low-flow toilet and showerhead will reduce her total water use to just 48.4 gallons per day, a savings of 39.6 gallons of water each day. This is a 44.8% reduction in her water consumption, saving her almost 40 gallons of water per day.
By making these improvements, Selina is helping to conserve a precious resource and limit her environmental impact. Not only is she helping to conserve water, but she is also saving money on her water bill. It is estimated that a typical household can expect to save about $170 annually by making these simple changes.
In addition to her low-flow fixtures, Selina can take additional steps to reduce her water consumption. She can install a water-efficient dishwasher, reduce the frequency of her laundry loads, and install a rain barrel to collect rainwater for gardening. By making these changes, she can reduce her water consumption even further and save even more money.
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PLEASE HELL I HAVE 6 MINUTES LEFT
Answer:
Mobile Plus
Step-by-step explanation:
A contractor bought 8?2 ft2 9f sheets of metal. she has used 3.5ft2 so far has 84.60 worth of sheets metal remaining. the equation 8.2x-3.5x=84.6 represents how much sheet is remening and the cost of the remaining. how much does the sheet metal cost per square foot?
Answer:
The ratio 19/25 is the same as 76/100, or 0.76.
Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.
Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.
Step-by-step explanation:
1. Write the mathematical expression using math operations and symbols:
The product of 5 and y added to 3.
Answer:
5y + 3 or 3 + 5y
Step-by-step explanation:
"The product of 5 and y" means that this is a multiplication problem. "Added to 3" signifies an addition problem.
Help please 111119228282
Here we have a dilation of scale factor 2.
How to describe the enlargement?We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.
To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:
L' = K*L
Here if we use the left sides, we will get:
for figure A; L= 2
for figure B: L = 4
4 = K*2
4/2 = K
2 = K
So this is a dilation of scale factor k = 2.
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600000000*100000000000000000000000000000000000000000000
Answer:
6e+52
Step-by-step explanation:
cAlCuLaToR
Answer:
6e+52
Step-by-step explanation:
multiply
Lucy has a coin collection of quarters from different states. The value of her coin collection is $9.50. How many quarters does she have in her collection ?
Answer:
38
Step-by-step explanation:
a quarter is worth .25 cents. divide 9.50 by .25 and you get 38
So, the square root of 72 lies between the numbers which The number 72 lies between the perfect squares means the square root of 72 is v number
Answer: 64 and 81
Step-by-step explanation: I used my brain. :)
The number 72 lies between the perfect squares 64 and 81 . So, the square root of 72 lies between the numbers 7 and 8 , which means the square root of 72 is a rational number.
can you all like and 5 star, I would like to level up :)
What is the value of x?
07
0 7√2
O
O 14
O 14√/2
45°
7√2
The value of the side length x is equal to 14 using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
sin45 = 7√2/x {opposite/hypotenuse}
√2/2 = 7√2/x {sin45 = √2/2}
x = 7√2 × 2/√2 {cross multiplication}
x = 7 × 2
x = 14
Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.
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