Answer:
Step-by-step explanation:
So we know that 22000+(-480t)
And we know that T is the minutes so we just gonna apply the number of minutes into that
if 5 minutes we going to write 22000+(-480 x 5)
and so on
Good luck :)
laverne starts counting out loud by 5's. she starts with $7$. as laverne counts, shirley sums the numbers laverne says. when the sum finally exceeds 5000, shirley runs screaming from the room. what number did laverne last say before shirley flees?
Laverne said the number 222 before Shirley flees
What is an arithmetic sequence?It is a series of numbers that increase or decrease by a constant amount called the ratio of the progression. It is increasing when the ratio is positive and decreasing when it is negative.
To solve this exercise we are going to apply the formula of the arithmetic sequence:
S = (n/2)[a1 + a1 + d(n - 1)]
Where;
n= number of termsa1= first terma1 + d(n - 1) = last termd = common difference between termsInformation about the problem:
a1 = 7d = 5S = 5000Clearing the (n) variable we get:
S = (n/2)[ 7 + 7 + 5(n-1) ] > 5000
(n/2) [ 9 + 5n ] > 5000
n[ 9 + 5n ] > 10000
5n^2 + 9n - 10000 > 0
Solving the quadratic question we get the values for the (x) number
x= {- b ± √ [b² - (4* a*c)]} / (2 *a)
x= {- 9 ± √ [9² - (4* 5*-10000)]} / (2 * 5)
x= {- 9 ± √ (81+ 200000)} / 10
x= {- 9 ± √200081} / 10
x= (- 9 ± 447.30) / 10
x = 43.83
n > 43 then n = 44
Calculating the 44th term, we get:
aₙ= a + d*(n-1)
a44 = [ 7 +5(44 - 1) ]
a44 = [ 7 +5(43) ]
a44 = 222
Learn more about arithmetic sequence at: brainly.com/question/6561461
#SPJ4
I need some help pls
Which ordered pair is a solution to the system of linear equations? x + 2y = 1 y = −2x − 1 (1, 1) (1, −1) (−1, 1) (−1, −1)
The solution to the system of linear equations x + 2y = 1 and y = -2x - 1 is x = -1 and y = 1.
What is the solution to the system of equation?Given the system of equation in the question:
x + 2y = 1 _____(1)
y = -2x - 1 _____(2)
To solve the system, we use substitution method:
We can substitute equation (2) into equation (1) for y:
x + 2y = 1
Plug in y = -2x - 1
x + 2( -2x - 1 ) = 1
Solve for x
x - 4x - 2 = 1
-3x - 2 = 1
Add 2 to both sides
-3x - 2 + 2 = 1 + 2
-3x = 3
x = -3/3
x = -1
Now substitute this value of x back into equation 2) to find y:
y = -2x - 1
Plug in x = -1
y = -2(-1) - 1
y = 2 - 1
y = 1
Therefore, the value of x is -1 and y is 1.
Option C) (-1,1) is the correct answer.
Learn more about systems of equation here: brainly.com/question/30319215
#SPJ1
What is the length of S?
Please help ME!! I need help
Answer:
You want to make it so you have an even amount of both, correct? This is where you need to know your multiples... here is what I got...
Step-by-step explanation:
By 4 packs of hotdogs and 5 packs of hotdog buns, this way you end up with 40 of each.
2. A company manufactures fuses. The percentage of non-defective fuses is 95.4%. A sample of 9 fuse was selected. Calculate the probability of selecting at least 3 defective fuses.
Answer:
0.0067 = 0.67% probability of selecting at least 3 defective fuses.
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either it is defective, or it is not. The probability of a fuse being defective is independent of any other fuse, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
A company manufactures fuses. The percentage of non-defective fuses is 95.4%.
This means that 100 - 95.4 = 4.6% = 0.046 are defective, which means that \(p = 0.046\)
A sample of 9 fuse was selected.
This means that \(n = 9\)
Calculate the probability of selecting at least 3 defective fuses.
This is:
\(P(X \geq 3) = 1 - P(X < 3)\)
In which
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{9,0}.(0.046)^{0}.(0.954)^{9} = 0.6545\)
\(P(X = 1) = C_{9,1}.(0.046)^{1}.(0.954)^{8} = 0.2840\)
\(P(X = 2) = C_{9,2}.(0.046)^{2}.(0.954)^{7} = 0.0548\)
Then
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.6545 + 0.2840 + 0.0548 = 0.9933\)
\(P(X \geq 3) = 1 - P(X < 3) = 1 - 0.9933 = 0.0067\)
0.0067 = 0.67% probability of selecting at least 3 defective fuses.
use the point-slope equation to identify the slope and the coordinates of a point on the line y – 4
By using the point-slope equation the slope of the line is 1/2, and a point on the line is (1, 4).
In the given equation, \(y - 4 = (1/2)(x - 1)\), we can observe that the equation is already in the point-slope form: \(y - y_1 = m(x - x_1)\)
Comparing it with the given equation, we can identify the following:
\(Slope \: (m) = 1/2\)
The coefficient of \((x - 1)\) represents the slope, which is 1/2 in this case.
To find a point on the line, we can identify the values of x and y. In this equation, the value of y₁ is 4, which means the point \((x_1, y_1)\) is (1, 4).
Therefore, the slope of the line is 1/2, and a point on the line is (1, 4).
Learn more about slope here:
https://brainly.com/question/14511992
#SPJ11
The bends on a track for car racing are semicircular and the track is banked at an angle of 28
0
to the horizontal. Suppose the radius of the curvature of the bends is 120 m. a) At what speed can a racing car and a driver of mass 800 kg take these bends even when there is no friction between the car and the track? b) If the car speed is twice of that in (a). (i) draw the free-body diagram of the car (ii) Find the value of the frictional force f.
The bends on a track for car racing are semicircular, and the track is banked at an angle of 28.0° to the horizontal. Suppose the radius of the curvature of the bends is 120 m.
a) The formula to calculate the minimum velocity is given as follows:Vmin = √(rgtanθ)Where;Vmin is the minimum velocity needed to stay on the track;g is the acceleration due to gravity;r is the radius of the turn;θ is the angle of banking.r = 120 m, θ = 28.0°, and g = 9.8 m/s²Substitute the values into the formula, we get;Vmin = √(rgtanθ)=√(9.8 m/s² * 120 m * tan(28.0°))=40.6 m/sTherefore the minimum velocity the car should maintain is 40.6 m/sb) If the car speed is twice that in (a).
(i) The free-body diagram of the car is as shown below;
(ii) The value of the frictional force f is as follows;There are two forces acting on the car, namely; the normal force and the gravitational force. When the car moves at a constant speed around the bend, the centrifugal force Fc is also acting towards the center of the circular path. The centrifugal force Fc is given by the formula;Fc = mv²/rWhere;F c is the centrifugal force;m is the mass of the carv is the velocity of the car in m/sr is the radius of the curve.
Therefore;f = F s, max= μsNWhere;Fs, max is the maximum static frictional force that can be applied;N is the normal force acting on the car;μs is the coefficient of static friction.Because the car is not sliding, the maximum frictional force that can act is equal to the centripetal force, Fc.Thus;Fs, max = F c= 21,333.3 NThe frictional force f can now be determined as;f = Fs, max= μsN= 21,333.3 N= μsmgCosθwhere m is the mass of the car, and g is the acceleration due to gravity.
Substitute the values into the formula;μ s = f/mgCosθ= 21,333.3 N / 800 kg * 9.8 m/s² * Cos(28.0°) = 0.58Therefore the coefficient of static friction is 0.58.
To know more about bends visit:
https://brainly.com/question/32686061
#SPJ11
Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package. She planted 15 saplings and has at most 20 left. How many packages of saplings did she start with? What would the solution look like on a number line graph?
When Rita started, she had
packages of saplings. The solution can be represented as
with an arrow to the
.
Answer:
If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.
Step-by-step explanation:
For each of the following situations, the final answers shown are INCORRECT. Identify and explain the error that was
made in the application of order of operations. Then, show the correct process and result.
2+3[10-4]
2+3[6]
5[6]
30
Answer:
14
Step-by-step explanation:
2+3(10-6)
2+3(4)
2+12
14
find the midpoint of a segment with endpoints A(3,4) and B(-1,2)
write the standard form of the complex number. 5(cos(135°) i sin(135°))
The complex number 5(cos(135°) + i sin(135°)) can be expressed in standard form as (5√2/2) - (5√2/2)i.
To find the real and imaginary parts of the complex number, we use the trigonometric form of complex numbers. The real part is given by the product of the magnitude and the cosine of the angle, while the imaginary part is the product of the magnitude and the sine of the angle.
In this case, the magnitude is 5 and the angle is 135°. Using the cosine and sine values for 135°, which are √2/2 and -√2/2 respectively, we can calculate the real and imaginary parts as follows:
Real part = 5 * (√2/2) = 5√2/2
Imaginary part = 5 * (-√2/2) = -5√2/2
Therefore, the complex number 5(cos(135°) + i sin(135°)) can be expressed in standard form as (5√2/2) - (5√2/2)i.
Note: The standard form of a complex number is written as a + bi, where a and b are real numbers.
Learn more about complex number here:
https://brainly.com/question/20566728
#SPJ11
FILL IN THE FIRST BOX PLEASE 51 PONTS!
Answer:
Step-by-step explanation:
The frame -- if it means the box on the outside which has 4 right angles, or the hexagon in the middle which has 0 right angles
can you answer this problem
Answer:
The answer is D 7 degrees F
Explanation - 7°F
39 + (-5) + 7 = 39 - 5 + 7 = 41
then, the low was 39 + (-5) = 34
thus, 41 - 34 = 7
so, 7°F above the low of 34°F
Hope this helps :D
Which of the following is not an item in the income statement? SELECT ONLY ONE a. Discount allowed b. Furniture & Fixture c. Furniture & Fixture d. Discount received
The item that is not an item in the income statement is b. Furniture & Fixture as it is considered a fixed asset and is reported on the balance sheet instead.
The income statement, also known as the profit and loss statement, provides a summary of a company's revenues, expenses, gains, and losses over a specific period. It helps to assess the financial performance of a business. The income statement typically includes various items such as revenues, cost of goods sold, operating expenses, interest income or expense, and other gains or losses.
a. Discount allowed is a revenue item that represents the discounts given to customers as an incentive for early payment or other reasons. It is usually reported as a deduction from sales revenue.
c. Furniture & Fixture is not typically included in the income statement. Instead, it is considered a non-operating or non-recurring item and is generally classified as a fixed asset on the balance sheet. Fixed assets represent long-term investments made by a company for its operations.
d. Discount received is also not an item in the income statement. It represents the discounts received by a company from its suppliers for early payment or other reasons. Similar to discount allowed, it is usually reported as a deduction from the respective expense account.
In summary, b. Furniture & Fixture is the item that is not included in the income statement. It is considered a fixed asset and is reported on the balance sheet instead.
To know more about fixed assets, refer here:
https://brainly.com/question/14392032#
#SPJ11
An online clothing company sells custom sweatshirts. The company charges $3.50 for shipping plus $5.50 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
The linear equation of the total cost of sweatshirts is y = 3.5 + 5.5x
How to determine the linear equation?The given parameters are:
Charges = $3.50 for shipping
Each sweatshirt = $5.50
The linear equation of the above parameters is represented as
Total (y) = Charges + Each sweatshirt * Number of sweatshirts (x)
Substitute the known values in the above equation, so, we have the following representation
y = 3.5 + 5.5x
Hence, the equation is y = 3.5 + 5.5x
Read more about linear equations at
https://brainly.com/question/13738662
#SPJ1
Which graph has a slope of 4/5?
Answer:
remake question and comment on this answer. don't forget the pictures of the graphs!
y=4x+1 complete the table
Please refer to the attached image for the answer
Ben wishes to convert $500 us dollars to the japanese yen. one american dollar is worth 123.3 yen. how many yen should he have after the conversion?
After the conversion of $500 in japanese yen Ben will have 61,650 yen.
According to the question.
The amount of money in US dollars Ben wishes to convert in Japanese yen is $500.
Also, it is given that
$1 = 123.3yen
Therefore,
The number of yen Ben have after the conversion of dollars in yen
= 500 × 123.3
= 61,650
Hence, after the conversion of $500 in japanese yen Ben will have 61,650 yen.
Find out more information about conversion of dollars in yen here:
https://brainly.com/question/2274822
#SPJ4
The five winning basketball scores totaled 500 points. Three scores, 81, 112 and 97 were recorded in the team log. Jacki estimated that the other scores had to be 100 and 110. Why are Jacki’s estimates reason
Jacki's estimates are reasonable because they sum to 110, which is the average of the two remaining scores.
It is known that five winning basketball scores totaled 500 points. The team log contains three of the scores, which are 81, 112, and 97. To determine the total sum of the remaining two scores, Jacki estimated that one had to be 100, while the other was 110. Jacki's estimates are reasonable because they sum to 110, which is the average of the two remaining scores. The average of the five winning basketball scores is 500/5 = 100. The sum of the three scores that were recorded in the team log is 81 + 112 + 97 = 290.
Therefore, the sum of the two remaining scores is 500 - 290 = 210. To estimate what the other scores could be, Jacki divided 210 by 2, which is 105. She then estimated that one of the scores had to be 100, and the other score had to be 110. This is reasonable because the sum of the estimates is 210, which is the sum of the two remaining scores, and 110 is the average of the two estimates.
To know more about the scores visit:
https://brainly.com/question/31340379
#SPJ11
a quadrilateral with no piar of parallel sides
The quadrilateral with no pair of parallel sides is trapezium
Given data ,
A = a quadrilateral with no pair of parallel sides
This type of quadrilateral is called a trapezium. In some countries, a trapezium is defined as having exactly one pair of parallel sides, while in other countries, a trapezium is defined as having at least one pair of parallel sides.
In any case, a quadrilateral with no pair of parallel sides is not considered a trapezium. Instead, it is known as a general quadrilateral.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
To learn more about trapezoid click :
https://brainly.com/question/12221769
#SPJ1
find the values of a and b
Answer:
Im not sure about a but, b= 38
Step-by-step explanation
b: 90 - 52 = 38
*90 because it is a right angle
Soledad buys 5 ounces of frozen yogurt for $2.25. What is the unit price of the frozen yogurt in dollars per ounce?
Answer:
0.45
Step-by-step explanation:
You divided 2.25 by 5
The Rodriguez family went to dinner at Pasta Palace. Mr. Rodriguez ordered a meal for $6.25; Mrs. R ordered a meal; the 2 children ordered pizza for $9.98. The sales tax rate was 7.25%, which was $2.25. How much was Mrs. R's meal?
Mrs. R's meal cost $15.83.
Define Sales taxSales tax is a tax on the sale of goods or services that is typically imposed by state or local governments. It is a percentage of the retail price of the item or service and is added to the total amount paid by the customer.
Let's call the cost of Mrs. R's meal "x".
The total cost of the meal before tax can be calculated by adding up the cost of each item:
Total cost before tax = Mr. Rodriguez's meal + Mrs. R's meal + cost of children's pizza
Total cost before tax = $6.25 + x + $9.98
Total cost before tax = $15.23 + x
The total cost after tax can be calculated by adding the sales tax to the total cost before tax:
Total cost after tax = Total cost before tax + Sales tax
Total cost after tax = ($15.23 + x) + $2.25
Total cost after tax = $17.48 + x
We know that the sales tax rate was 7.25%, which means that it was 0.0725 as a decimal.
We can use this to set up an equation relating the sales tax to the total cost before tax:
Sales tax = 0.0725 × Total cost before tax
Substituting the expression we found for the total cost before tax, we get:
$2.25 = 0.0725 × ($15.23 + x)
We can now solve for x, the cost of Mrs. R's meal:
$2.25 = $1.10275 + 0.0725x
$1.14725 = 0.0725x
x = $15.83
Therefore, Mrs. R's meal cost $15.83.
To know more about decimal, visit:
https://brainly.com/question/30958821
#SPJ1
A baseball card was worth $120. Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.
The value of the card can be modeled using a linear function. What is the domain of the function?
The value of the card can be modeled using a linear function. The domain of the function is 5.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
A baseball card was worth $120.
Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.
y = $120 - $10(5)
y = $150
domain = x or 5
Learn more about linear equations;
https://brainly.com/question/27056029
#SPJ2
what are the zeros of the function y=x(x-2)(x+6)²
a.-6, 0, and 2
b. -6, 0,2 and 6
c. -2,0 and 6
d. -6 and 2
Answer:
A. -6, 0, and 2
Step-by-step explanation: PLATO
The zeroes of the function will be 0, 2, and -6. Then the correct option is A.
What are the roots of the polynomial?The polynomial is given below.
\(\rm f(x) = a_0x^n + a_1 x^{n - 1}+ ....+ a_{n-2}x^2 + a_{n-1}x + a_nx^0\)
The roots of the polynomial are equal to n or less than n.
The function is given below.
y = x(x-2)(x+6)²
Substitute each factor equal to zero. Then the zeroes of the function will be
x = 0
x – 2 = 0
x = 2
(x + 6)² = 0
x + 6 = 0
x = -6
Then the zeroes of the function will be 0, 2, and -6.
Then the correct option is A.
More about the roots of the polynomial link is given below.
https://brainly.com/question/1514617
#SPJ2
if you had 12.3 grams of carbohydrates, how many calories would that contribute per serving? do not round; give the absolute value.
49.2 calories are in would that contribute per serving .
What does a calorie mean ?
Energy is measured in calories. When you hear something has 100 calories, it means that it has the potential to provide your body with that many calories of energy. Calories are the units of energy used by your body during food digestion and absorption. A food's ability to give your body energy depends on how many calories it contains.Carbohydrates provide 4 calories per gram.
1 gm Carbohydrates = 4 calories
then 12.3 gm Carbohydrates = 12.3 * 4
= 49.2 calories
Learn more about calories
brainly.com/question/22374134
#SPJ4
The area of a right triangle is 336 square inches. The height of the right triangle is 48 inches. What is the length of the hypotenuse of the right triangle?
Consider the series One-fourth, StartFraction 1 Over 16 EndFraction + StartFraction 1 Over 64 EndFraction + StartFraction 1 Over 256 EndFraction + ellipsis
Which expression defines Sn?
Answer:
C, I got it right
Step-by-step explanation:
The two major types of series are the arithmetic series and the geometric series. The arithmetic series is characterized by common difference, while the geometric series has common ratio between two successive terms.
The sum of the given series is:
\(\lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )\)
The given series is a geometric series. So, we first calculate the common ratio (r) using:
\(r = T_2 \div T_1\)
From the series, we have:
\(T_1 = \frac{1}{4}\)
\(T_2 = \frac{1}{16}\)
So, the equation becomes
\(r = \frac{1}{16} \div \frac{1}{4}\)
Rewrite as product
\(r = \frac{1}{16} * \frac{4}{1}\)
\(r = \frac{1}{4}\)
The formula to calculate the sum of a geometric series of is:
\(S_n = \frac{a(1 - r^n )}{1-r}\)
Where
\(a = T_1 =\frac{1}{4}\) -- the first term
\(S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{1-\frac{1}{4}}\)
Simplify the denominator
\(S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{\frac{3}{4}}\)
Divide 1/4 by 3/4
\(S_n = \frac{1}{3}(1 - \frac{1}{4}^n )\)
We can conclude that, the sum of the series is:
\(S_n = \lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )\)
Read more at:
https://brainly.com/question/21087466
Which of the following best describes how the y values are changing over each interval?
X
1
23
3
4
5
y
2
4
8
16
32
O They are increasing by 2 each time.
O They are increasing by 4 each time.
They are being multiplied by 2 each time.
O They are being multiplied by 4 each time.
Answer:
They are being multiplied by 2 each time.
Step-by-step explanation:
The X values are going up by 1 and every time X goes up by 1, Y doubles. So (1,2) goes to (2,4) and then (3,8) etc.