Answer:
500 - 20x = 220
Step-by-step explanation:
$500 is the base cost, and she withdraws $20 per week. $220 would be the final cost, so x represents the amount of weeks.
Answer:
500-20w=220
Step-by-step explanation:
w=14
it will take 14 weeks to have her balance at 220
-20w=220-500
-20w=-280
divide both sides by -20
w=14
can i get help please
Answer:
20
Step-by-step explanation:
side BC = side AB
so their base angles that is ∠A = ∠C = (3x+20)°
now, total measure of the angles of a triangle is 180° & ∠B = x°
Now,
m∠A + m∠B + m∠C = 180
⇒ 3x + 20 + x + 3x + 20 = 180
⇒ 7x + 40 = 180
⇒ 7x = 140
⇒x = 20
If the prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5, what would you need to multiply it by to get the prime factorization of 3000?
To get the Prime factorization of 3000 we need to multiply by 5.
What is Prime Factorization:When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.
For example, the Prime factorization of 45 is given below
=> 45/5 = 9, 9/3 = 3, 3/3 = 1
=> 45 = 5 × 3 × 3
Here we have
The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5
Let us assume that on multiplying with p,
we will get the factorization of 3000
=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000
=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)
Her 2 x 2 × 2 × 3 × 5 × 5 = 600
=> p = \(\frac{3000}{600}\)
=> p = 5
Therefore,
To get the Prime factorization of 3000 we need to multiply by 5.
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Find the number of ways of
arranging the letters of the
words DANGER, so that no vowel
occupies odd place.
Answer: 6 * 24 = 144 ways.
Step-by-step explanation:
Solution:
Given word => DANGER.
The condition is that vowels can't occupy odd places so, we will let them occupy even places.
A total number of arrangements will be = 6 * 24 = 144 ways.
Answer: 6x24 = 144 ways.
Help pleaseeeeeeeeeeee
Answer:
3
Step-by-step explanation:
3 visually has the greatest slope Distance / time = greatest speed...
Here are the speeds (as I read the graph, always double check my work)
1) is 10m / 4s 2.5 m/s
2) is 15m / 4s 3.75 m/s
3) is 30m / 2s 15 m/s
4) is 5m / 4s 1.25 m/s
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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a machinist is making a gear that will pull a chain at 60 ft/min when rotating at 40 rev/min. What should the radius of the gear be? Answer in inches.
The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.
To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:
chain speed = 2 x pi x radius x rotational speed
where pi is a mathematical constant approximately equal to 3.14.
We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:
60 = 2 x 3.14 x radius x 40
Simplifying the equation, we get:
radius = 60 / (2 x 3.14 x 40)
radius = 0.2387 ft
To convert feet to inches, we can multiply the answer by 12:
radius = 0.2387 x 12 = 2.8644 inches.
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A baseball player had batting average of 0.298 what the probability of him getting exactly 4 out of 10 times he was up at bat
The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.
To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.
The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
P(X = k) is the probability of getting exactly k hits
n is the total number of trials (in this case, the player's 10 times at bat)
k is the number of successful trials (in this case, 4 hits)
p is the probability of success in a single trial (in this case, the player's batting average, 0.298)
(1 - p) is the probability of failure in a single trial
Plugging in the values:
P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Using the combination formula C(n, k) = n! / (k! * (n - k)!):
P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Calculating the values:
P(X = 4) ≈ 0.161
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James and Alex recorded the hours they worked and the amount of money they earned in the tables below. Which statement is true?
Group of answer choices
No answer text provided.
James earned $13 per hour, and Alex earned $12 per hour.
They both earned the same amount of money per hour.
James earned $12 per hour, and Alex earned $13 per hour.
James earned a $13 per hour rate and Alex earned a $12 per hour rate thus option (A) is correct.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change concerning time.
For example the speed 3meter/second.
As per the given number of hours and money earned table.
For James,
Rate of change or earned per hour = 26/2 = $13
For Alex,
Rate of change or earned per hour = 36/3 = $12
Hence "James earned a $13 per hour rate and Alex earned a $12 per hour rate".
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show full solutions.15. Name the indicated parts of this diagram.
Given:
A circle with a center at C.
Required:
We need to find the names of the given parts.
Explanation:
Recall that radius is a line segment extending from the center of a circle to the circumference.
Line segment AC extends from the center C of a circle to the circumference.
\(AC=Radius\)Recall that the arc of a circle is defined as the part of the circumference of a circle.
AE is the part of the circumference of a circle.
\(AE=Arc\)Recall that a straight line segment joins and is included between two points on a circle.
D and E are two points on a circle.
A straight line DE line segment joins and is included between two points D and E on a circle.
\(DE=Chord\)Recall that meeting a curve or surface in a single point if a sufficiently small interval is considered a straight line tangent to a curve.
AB is tangent.
\(AB=Tangent\)Recall that an inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.
\(\measuredangle ADE=\text{ Inscribed angle.}\)Recall that a central angle is an angle formed by two radii with the vertex at the center of the circle.
\(\measuredangle ACE=\text{ Central angle}\)Recall that an angle formed by an intersecting tangent and chord has its vertex "on" the circle.
\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)Final answer:
\(AC=Radius\)\(AE=Arc\)\(DE=Chord\)\(AB=Tangent\)\(\measuredangle ADE=\text{ Inscribed angle.}\)\(\measuredangle ACE=\text{ Central angle}\)\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)Celine earned some money doing odd jobs last summer and put it in a savings account that earns 6%interest compounded annually after 8 years there is 800.00 in the account how much did Celine earn doing odd jobs
We determine that value replacing in the following function:
\(A=P(1+\frac{r}{n})^{nt}\)We replace as follows:
\(800=P(1+\frac{0.06}{12})^{(12)(8)}\)Now, we solve for p, that is:
\(\Rightarrow P=\frac{800}{(1+\frac{0.06}{12})^{(12)(8)}}\Rightarrow P\approx495.62\)So, Celine earned approximately the following:
\(E=800-495.62\Rightarrow E\approx304.38\)She earned approximately $304.38.
For one month diera calculated her home towns average high temperature
The answer for this question is Celsius for Fahrenheit.
The Formula for Converting TemperatureTo convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.
(50°F - 32) x.5556 = 10°C, for instance.
When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.
For instance, (30°C x 1.8) + 32 = 86°F'
Here are two useful charts that translate between F and C as well as between C and F.
How to calculate her home towns average high temperature?The temperature of f degrees Fahrenheit converted to degree Celsius.
(( f)=5/9 (f-32)
represent the temperature of f degrees Fahrenheit converted to degree Celsius.
The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.
So that means if the temperature is in Fahrenheit it will be converted to Celsius.
So that means the C(F) represents the Celsius temperature.
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Complete Question -
For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?
a backpack that normally sells for $40 is on sale for $30. find the percentage of a change.
Answer:It would be 40•.25=10
Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off
Complete each proportion by solving the value of N
1 3/5= n/35
2 15/n= 412
3 18/36= 6/n
4 n/12 = 35/42
5. 3/n = n/27
6 n/50 = 1 10
7. 60/90 = 180/n
pa answer po plsss thanksssssssssss
Answer: I can help you with this equation over messages if you would like, I cannot input my answer on this page for some reason like I usually could.
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIST!!!
How do I solve this problem?
Answer:
y = 16(x +2)
Step-by-step explanation:
The equation of the tangent to a curve at a point can be written using the point-slope form of the equation for a line. The point is (x, f(x)), and the slope is the derivative, f'(x).
Point and slopeThe point where you want the tangent line has y-value ...
y = 2(-2)³ -8(-2) = 2(-8)+2(8) = 0 . . . . . point (x, y) = (-2, 0)
The slope at the point where you want the tangent is ...
y' = 2·3x² -8 = 6(-2)² -8 = 24 -8 = 16 . . . . . slope m = 16
Equation of the tangent lineThe point-slope equation of a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -0 = 16(x -(-2)) . . . . . line with slope 16 through (-2, 0)
y = 16(x +2) . . . . . simplified
An equation of the tangent line is ...
y = 16(x +2)
Carl jumped 11 5/12 feet in the long jump. Ben jumped 9 7/8 feet. How much farther did Carl jump than Ben?
Answer:
Step-by-step explanation:
1 13/24
A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the
nearest cent if necessary.
$26.85
$28.91
$437.78
$439.85
answer: D) 439.85
Step-by-step explanation:
we are given the price of the bike which is $413.
we are also given the sales tax which is 6.5%.
sales tax is added to the original price to give us our total. so in order to find the total cost we need to find what the 6.5% sales tax is and add it to our original price. to find the sales tax number in dollars we need to set up our formula. The easiest formula is to use a proportion. X is out of 413 = 6.5% is out of 100%. X/413=6.5/100. We can then cross multiply then divide. 6.5 times 413=2,684.5. then divide 2684.5÷100= 26.845.
we need to round up to the nearest cent since we are working with dollars and cents 26.85. 26.85 is 6.5% of the price of the bike which is 413. Now we just simply add the tax to the original price and we get the cost. 413+26.85=439.85
Answer: The answer is D) 439.85
Step-by-step explanation:
It is reported that the wild tiger population has declined by 97%
over the last 20 years.
There are now 3200 tigers left in the wild.
To the nearest thousand, how many wild tigers were there 20 years ago?
The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.
Determine Percentage decrease theory.The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.
This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.
For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.
This question is using the percentage decrease theory. According to this theory,
you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.
Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).
Original - Current = Change
120,000 - 3200 = 116,800
Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)
Change / Original = Percentage Change
116,800 / 120,000 = 97%
Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)
Percentage Change x Original = Estimated Original
97% x 120,000 = 116,400
Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.
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Help pleaseeeee!
Whoever answers right gets brainliest
Answer: A
Step-by-step explanation:
how do i go about finding x° and ycm, please?
I've tried Sine Rule & Cosine Rule... I thought i had done it correctly until i worked out the angles added up to much higher than 180° so it cannot be correct... can anyone help?
From the solution;
x = 62.62°
y = 8.9 cm
What is the sine rule?The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.
By the use of the sine rule;
a/Sin A = c/Sin C
Sin C = cSin A/a
C = Sin-1(cSin A/a)
C = Sin-1(7.8 * sin 66.4/9.2)
C = 50.98°
B = 180 - (50.98° + 66.4)
B = 62.62°
Then;
a/Sin A = b/Sin B
9.2/Sin66.4 = b/Sin 62.62
b = 9.2 * Sin 62.62/Sin66.4
b = 9.2 * 0.89/0.92
b = 8.9 cm
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"Maria is traveling along a road toward Harrisburg and sees the following sign.
Easton
Harrisburg
10 miles
25 miles
Maria knows there is a gas station located of the distance between Easton and Harrisburg.
How far does Maria have to travel, in miles, to reach the gas station?
Answer: 17 and 1/2 miles
Step-by-step explanation: They are 15 miles away from eachother which means halfway between the two is 7 and 1/2. 10 plus 7 and 1/2 is 17 and 1/2 and 25 minus 7 and 1/2 is 17 and 1/2.
Please gimme the variables to define the sytem and 2 system of equations
Answer:
\(8.5x+4y=99.5,\ x+y=17\)
Step-by-step explanation:
\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)
I need help guys please help
ANSWER PLS! ASAP whoever answers first gets BRAINLIEST AND 15 PTS! make sure you are right and your answer is correct!
Answer:
- \(\frac{1}{6}\) and 1 \(\frac{1}{6}\)
Step-by-step explanation:
we require to calculate
\(\frac{1}{2}\) - \(\frac{2}{3}\)
= \(\frac{3}{6}\) - \(\frac{4}{6}\)
= - \(\frac{1}{6}\)
and
\(\frac{1}{2}\) + \(\frac{2}{3}\)
= \(\frac{3}{6}\) + \(\frac{4}{6}\)
= \(\frac{7}{6}\)
= 1 \(\frac{1}{6}\)
order from least to greatest )
-3/4, 0, 3, 0.75, 1.8, 3.5
tysm <3
Answer:
-3/4 = -0.75
-0.75, 0, 0.75, 1.8, 3, 3.5
Hope this helps!
Bonnie filled her car's gas tank. She put in 10 1/2 gallons and paid $15.36. Write the ratio in fractional form and determine the cost of gasoline per gallon
Answer:
The answer to the problem is $3.072
Q2. Evaluate: (a) \( j^{12} \); (b) \( -\frac{1}{j^{9}} \); (c) \( \frac{5}{2 j^{13}} \)
the evaluated expressions are: (a) j¹² = 1 ,(b) -1/j⁹ = j ,(c) 5/(2j¹³) = (5/2)j
to solve this use the properties of the imaginary unit.
what is imaginary unit ?
The imaginary unit is a mathematical concept denoted by i or j (in electrical engineering) that represents the square root of -1. It is called an "imaginary" unit because it does not have a real number counterpart.
In the given question,
To evaluate these expressions, we need to recall the properties of the imaginary unit, j, which is defined as the square root of -1. Specifically, we need to remember that:
j² = -1
j³ = -j
j⁴ = 1
Using these properties, we can simplify the given expressions:
(a) j¹² = (j⁴)³ = 1³ = 1
(b) -1/j⁹ = -1/(j³)³= -1/(-j)³ = -1/(-j³) = -1/(-(-j)) = -1/j = -j/j² = -j/-1 = j
(c) 5/(2j¹³) = 5/(2(j⁴)³*j) = 5/(2*1*j) = 5/(2j) = (5/2) * (1/j) = (5/2) * (-j³/j⁴) = -(5/2)j³ = (5/2)j
Therefore, the evaluated expressions are:
(a) j¹² = 1
(b) -1/j⁹ = j
(c) 5/(2j¹³) = (5/2)j
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. Evaluate the following expression to simplest form \( j^{12} \); (b) \( -\frac{1}{j^{9}} \); (c) \( \frac{5}{2 j^{13}} \)
REASONING The table shows the weights (in pounds) and the prescribed dosages (in milligrams) of medicine for six patients.
Weight (lb), x Dosage (mg), y
94 72
119 90
135 103
150 115
185 140
202 156
a. Find an equation of the line of best fit. Round the slope and the $y$ -intercept to the nearest tenth, if necessary.
y=
Identify the correlation coefficient. Round your answer to the nearest thousandths.
Interpret the correlation coefficient.
b. Interpret the slope of the line of best fit.
c. A patient who weighs 140 pounds is prescribed 135 milligrams of medicine. How does this affect the line of best fit? Explain.
The equation of the line of best fit in the table given regarding the weights will be y = 0.77x - 1.1
How to illustrate the table?From the information given, the equation of the line of best fit in the table given regarding the weights is given and the correlation coefficient is 0.99.
The relationship is strongly positive as it's close to 1. The slope of the best fit gives the change in dosage for for an increase in the weight of the patient.
When a patient who weighs 140 pounds is prescribed 135 milligrams of medicine, it affects the line of best fit as it increases the intercept but decreases the slope.
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A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years. Construct a 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years.
Answer:
The 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years is (0.1627, 0.1887).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.
This means that \(n = 2322, \pi = \frac{408}{2322} = 0.1757\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1757 - 1.645\sqrt{\frac{0.1757*0.8243}{2322}} = 0.1627\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1757 + 1.645\sqrt{\frac{0.1757*0.8243}{2322}} = 0.1887\)
The 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years is (0.1627, 0.1887).
I need help on question 1-6
Will be mark brainlist
Answer:Look
Step-by-step explanation: Look and solve its not that hard