The distance around 2 bicycle wheel is 22.98ft. What is the diameter
A. 7.3
B. 3.2
C. 1.3
D. 10.3
Please help!!!!!! i need the correct answer
I will mark you brainliest.
Write the ratio:
450
to
200
as a fraction in lowest terms.
Answer:
The ratio 450 : 200 can be reduced to lowest terms by dividing both terms by the GCF = 50 :
450 : 200 = 9 : 4
Therefore:
450 : 200 = 9 : 4
basically 9/4
Step-by-step explanation:
-5/12 - (-9/3) what is the answer for this equation
Answer:
2 7/12
Step-by-step explanation:
Simple fraction problem
write an approximate equation of the line of best fit, then predict the average temperature.
Answer:
\(\textsf{\sf(a)} \quad y=-\dfrac54x+\dfrac{205}{2}\)
(b) $46.25
Step-by-step explanation:
When adding a line of best fit, ensure that the number of points above and below the line is about equal.
See attachment for line of best fit.
Part (a)From inspection of the graph, two points on the line are (10, 90) and (50, 40). Therefore,
\(\textsf{let}\:(x_1,y_1)=(10,90)\)
\(\textsf{let}\:(x_2,y_2)=(50,40)\)
Calculating the slope of the line:
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{40-90}{50-10}=-\dfrac54\)
Using the point-slope form of linear equation: \(y-y_1=m(x-x_1)\)
(where m is the slope and (x₁, y₁) is a point on the line)
\(\implies y-90=-\dfrac54(x-10)\)
\(\implies y-90=-\dfrac54x+\dfrac{25}{2}\)
\(\implies y=-\dfrac54x+\dfrac{205}{2}\)
(where x is the average monthly temperature in °F and y is the monthly heating costs in dollars)
Part (b)Substitute x = 45 into the equation found in part (a):
\(\implies -\dfrac54(45)+\dfrac{205}{2}=46.25\)
Therefore, the monthly heating cost for a month with an average temperature of 45 °F is approximately $46.25
A triangle has sides with lengths of 12 kilometers, 16 kilometers, and 20 kilometers. Is it a right triangle?.
2 km, 16 km and 20 km are the sides of a right triangle .yes , it is a right triangle
Lets explain how to check the sides lengths which formed a right angled triangle
In triangle ABC :
If AC is the longest side in length
If (AC)² = (AB)² + (BC)²
Then, AB , BC , AC formed a right angle triangle in ∠B (opposite to AC) is a right angle and AC is the hypotenuse
The lengths of the sides of the triangle are 12 km, 16 km, 20 km
∵ The length of the longest sides is 20 km
- Find its square
∵ (20)² = 400
∴ The square of the length of the longest side is 400
∵ The length of the shortest sides are 12 km and 16 km
- Find the sum of their squares
∵ (12)² + (16)² = 144 + 256 = 400
∴ The sum of the squares of the lengths of the shortest sides is 400
∵ 400 = 400
∴ The sides of 12 km, 16 km and 20 km are the sides of
a right triangle
yes , it is a right triangle
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What is the slope of a line perpendicular to Line AB given A (6,2) and B (-3,2)
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m of AB using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(- 3, 2)
m = \(\frac{2-2}{-3-6}\) = \(\frac{0}{-9}\) = 0
A line with a slope of zero is a horizontal line, parallel to the x- axis.
Thus a line perpendicular to AB is a vertical line parallel to the y- axis.
The slope of a vertical line is undefined
Which number best represents a depth of seven hundred and five-tenths meters below the ground?
Answer:
-700½ meters or -700.5 meters
Step-by-step explanation:
Usually, the depths below the ground are denoted by the minus sign.
Seven hundred and five-tenths meters mean 700+(5/10) which is equal to 700+1/2. So, the answer becomes -700½ meters or -700.5 meters.
Explain how you know that the sum of 2,3,and -2 is positive without computing
Technically, it would be impossible to truly know without "computing" at all, but once you add 2 and 3, you would be able to know that the sum of all three numbers of positive without accounting for the -2, because 6 is a greater absolute value than -1.
Some examples:
12 + - 4
7 + - 3
18 + -10
All will be positive because those positive numbers (12, 7, 18) are greater than the others (4, 3, 10).
A model for the food-price index (the price of a representative "basket" of foods) between 1984 and 1994 is given by the functionI(t)=0.00009045t5+0.001438t4−0.06561t3+0.4598t2−.6270t+99.33Where t is measured in years since midyear 1984, so 0≤t≤10, and I(t) is measured in 1987 dollars and scaled such that I(3)=100. Estimate to two decimal places the times when food was cheapest and most expensive during the 1984-1994 period
The time when the food price is most and cheapest is obtained from the extremum value of the function.
The time when the food is cheapest is approximately 1 year after 1984The time when the food is most expensive is approximately 5 years after 1984What is an extremum of a function?The extremum of a function is a maximum or minimum value of the function.
The function that models the food-price is I(t) = 0.00009045·t⁵ + 0.001438·t⁴ - 0.0656·t³ + 0.4598·t² - 0.6270·t + 99.33
Where;
t = The number of years since 1984
I(3) = 100
The time when the food is cheapest or most expensive can be obtained by differentiating the function for food-price and equating the result to 0 as follows;
I'(t) = 0.00009045×5·t⁴ + 0.001438×4·t³ - 0.0656×3·t² + 0.4598×2·t - 0.6270 = 0
Factoring the result, using a graphing calculator, we get;
(t - 0.823)·(t - 5.131)·(t - 11.05)·(t + 29.72) = 0
The values of the minimum and maximum values are therefore';
I(0.823) = 0.00009045×0.823⁵ + 0.001438×0.823⁴ - 0.0656×0.823³ + 0.4598×0.823² - 0.6270×0.823 + 99.33 ≈ 99.08
I(5.131) = 0.00009045×5.131⁵ + 0.001438×5.131⁴ - 0.0656×5.131³ + 0.4598×5.131² - 0.6270×5.131 + 99.33 ≈ 100.67
I(11.05) = 0.00009045×11.05⁵ + 0.001438×11.05⁴ - 0.0656×11.05³ + 0.4598×11.05² - 0.6270×11.05 + 99.33 ≈ 96.38
I(-29.72) = 0.00009045×(-29.72)⁵ + 0.001438×(-29.72)⁴ - 0.0656×(-29.72)³ + 0.4598×(-29.72)² - 0.6270×(-29.72) + 99.33 = 1270.8
Therefore, the food price when the food was cheapest is $99.08
The time when the food is most cheapest where 0 ≤ t ≤ 10 is t = 0.823 years ≈ 1 years
Similarly, the food price when the food was most expensive in a 10 year time frame is $100.67
The time when the food is most expensive is t ≈ 5.131 years ≈ 5 years
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On Saturday, the fruit and juice bar was selling 20 glasses of fruit punch an hour. By 7 p.m., they had sold 180 glasses. If their goal was to sell more than 240 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.
======================================================
Explanation:
h = number of hours past 7 pm
20h = the number of glasses sold after h hours
20h+180 = adding on the 180 glasses already sold
20h+180 > 240 is the inequality to set up
Let's solve for h
------------------
20h+180 > 240
20h > 240-180
20h > 60
h > 60/20
h > 3
They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.
The earliest that they can close is 11 pm (since 4+7 = 11).
--------------------
If h = 3, then
20h+180 = 20*3 + 180 = 240
meaning that they haven't reached their goal of getting over 240
So they have to stay open that extra hour to get past 240.
There are two roots because of the....
Answer:
There are two roots because of the
✔ need to identify + and - roots of the radicand.
Step-by-step explanation:
edge
Answer:C
Step-by-step explanation:
There are two roots because of the
✔ need to identify + and - roots of the radicand.
simplify by combining like terms 5x − 3x^2 + 16x^2
Answer:
5x+13x²
Step-by-step explanation:
5x - 3x² +16x²
collect the like terms
5x + 13x²
IK this is simple math but I need help.
Answer:
C
Step-by-step explanation:
\(60*2 = 120\)
\(60*3=180\)
\(60*4=240\)
can u help me with my recent questions? dont guess
To avoid a service fee, your checking account balance must be at least $500 at the end of each month. Your current balance is $548,92. You
use your debit card to spend $138.99 What possible amounts can you deposit into your
account by the end of the month to avoid paying the service fee?
The possible amounts you can deposit into your account by the end of the month to avoid paying the service fee are
(Type an integer or a decimal)
SE
Answer:
54253.01
Step-by-step explanation:
54,892-138.99
54753.01-500
54253.01 or less
Which three points can create a function with a range of {-3,0,4}, select all correct answers.
(4,3) (-3,1) (2,-3) (5,0) (0,2) (7,4)
HELP PLEASE 20 POINTS
Find the missing side lengths
Answer:
\( \sin(45) = \frac{o}{h} \\ 0.7 = \frac{x}{18 \sqrt{2} } \\ 0.7 \times 18 \sqrt{2} = x \\ 0.7 \times 25.45 = x \\ 17.8 = x\)
\( {x}^{2} + {y}^{2} =( 18 \sqrt{2} ) ^{2} \\ {17.8}^{2} + {y}^{2} = 648 \\ 316.84 + {y}^{2} = 648 \\ {y}^{2} = 648 - 316.84 \\ {y}^{2} = 331.16 \\ y = 18.19\)
Determine the number of Mg2+ and PO3−4 ions required to form a neutral ionic compound.
To determine the number of Mg2+ and PO3−4 ions required to form a neutral ionic compound, we need to consider the charges of the ions and their ratio in the compound.
In an ionic compound, the total positive charge must equal the total negative charge to achieve electrical neutrality. The Mg2+ ion has a charge of +2, indicating a loss of two electrons, while the PO3−4 ion has a charge of -3, indicating a gain of three electrons.
To form a neutral compound, the positive and negative charges must balance out. Since the charge of the Mg2+ ion is +2 and the charge of the PO3−4 ion is -3, the ratio between them must be such that the charges cancel out. This can be achieved by having three Mg2+ ions for every two PO3−4 ions.
Therefore, the number of Mg2+ ions required is three times the number of PO3−4 ions in order to achieve electrical neutrality in the compound.
It is important to note that the specific ratio and number of ions required may vary depending on the specific compound and its formula.
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The sum of nine and a number
9 + x
sum = addition so the answer would be 9 + ×
Which is a negatively skewed distribution?14 15ОА16 18 20 22 24 26 28 30B.20 22 24 26 28 30
Solution:
A negatively skewed distribution is one in which more data values are plotted on the right side of the graph.
In other words, the the tail of the distribution is longer on the left side, and the mean is lower than the median and mode.
Thus, from the options below:
The correct option is C since
What is the answer for (-3, -5)
Answer:
The answer is - 8
......
If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) = a. 0.14. b. 0.43. c. 0.75. d. 0.59.
If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) = 0.14. The correct option is a.
To find the probability of event B, we can use the formula:
P(B) = P(A and B) + P(A' and B)
where A' represents the complement of event A.
Using the given information, we can calculate:
P(A and B) = P(B | A) * P(A) = 0.35 * 0.4 = 0.14
P(A' and B) = P(A ∪ B) - P(A) = 0.69 - 0.4 = 0.29
Therefore,
P(B) = P(A and B) + P(A' and B) = 0.14
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how many cards would you need to draw to ensure that you have at least two of the same denomination?
To ensure that you have at least two cards with the same denomination, you would need to draw five cards.
This problem is a variation of the pigeonhole principle, also known as the birthday paradox. There are 13 denominations in a standard deck of cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King), and drawing five cards creates five pigeonholes. Since there are more pigeonholes than there are denominations, it is guaranteed that at least two of the cards will have the same denomination. To see this, note that drawing six cards will also guarantee two cards with the same denomination, since there would be six pigeonholes and only 13 denominations.
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$2,300 at 7% interest for 9 years. What would the interest be?
We want to find the simple interest accrued on $2,300 at 7% interest for 9 years.
The formula for simple interest is given as;
\(I=\frac{P\times R\times T}{100}\)Inserting the values, we have;
\(I=\frac{2300\times7\times9}{100}=\text{ \$1449}\)Therefore, the interest is $1449
2.01 Quiz Polygons and Symmetry 1
What is the value of x?
X= ___
Answer:
Step-by-step explanation:
112+120+133+128+100+x=720
593+x=720
x=720-593
x=127
A recipe calls for 4 cups of flour and 2 cups of sugar. What is the ratio of flour to sugar in simplest form
the ratio of flour to sugar is:
flour : sugar= 4 : 2 = 2 : 1
Answer:
2:1, 2 to 1, or 2/1
Step-by-step explanation:
Devide 4 and the two by two and it makes it 2:1
Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
y = [? ]X + [ ]
The equation of a line is:
\( \displaystyle \large{y - y_1 = m(x - x_1)}\)
Since the line has to be parallel to line y = 4x+1. Hence, m = 4.
\( \displaystyle \large{y - y_1 = 4(x - x_1)}\)
Given point is (1,1). Let this be the following:
\( \displaystyle \large{(x_1,y_1) = (1,1)}\)
Substitute the point in.
\( \displaystyle \large{y - 1 = 4(x - 1)}\)
Convert the equation in a slope-intercept form or function form.
First, distribute 4 in the expression.
\( \displaystyle \large{y - 1 = 4x - 4}\)
Add 1 on both sides.
\( \displaystyle \large{y - 1 + 1 = 4x - 4 + 1} \\ \displaystyle \large{y = 4x - 3}\)
Hence, the line that is parallel to y = 4x+1 and passes through (1,1) is y = 4x-3
Jeremiah 28
What can you learn from Jeremiah and Hananiah that you can apply to your own life?
The main lesson of Jeremiah 28 is that rebellion against God is self-destructive.
What are the characteristics of God?God is omniscient (all-knowing), omnipotent (all-powerful), and omnibenevolent (supremely good).
Human beings must recognize that God is love, life, truth, and light.
It is sinful to offend God with lies or untruth, or distorting the above attributes of God.
Thus, the lessons from Jeremiah and Hananiah, according to Jeremiah 28, that one can apply to their own life are to obey, acknowledge, and praise God in all our undertakings, living always in the light of Truth.
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Car price $118,191
Percent for car loan: 2.49%
36 months
Find monthly payment show work
Answer:
3410.64
Step-by-step explanation:
Gonna assume that the 2.49 is the APR
present value of the loan= present value of the payments
effective rate: .0249/12= .002075
x= payment
\(118191=x\frac{1-(1+.002075)^{-36}}{.002075}\\118191=34.6536494355x\\x=3410.63645317\)