Answer:
[tex]y=-x-\frac{7}{12}[/tex]
Hope this helps!
Simplify 4/16 to the lowest terms and find equivalent fraction that has denominator of 32
The lowest fraction for the given fraction [tex]\frac{4}{16}[/tex] is [tex]\frac{1}{4}[/tex].
Also the equivalent fraction with a denominator of [tex]32[/tex] is [tex]\frac{8}{32}[/tex].
Divide the numerator and denominator by their Greatest Common Factor in order to reduce a fraction to its lowest terms. This is often referred to as fractional simplification.
Here, the GCF of [tex](4,16)=4[/tex]. Therefore divide the numerator and denominator of the fraction by [tex]4[/tex].
[tex]\frac{4/4}{16/4} = \frac{1}{4}[/tex]
The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
Multiply a fraction's numerator and denominator by the same number of digits. You won't alter the value of the fraction and will produce an identical fraction if you multiply the top and bottom of the fraction by the same number.
Here, [tex]16[/tex] times [tex]2[/tex] give [tex]32[/tex]. Now, multiply the fraction with 2 on both the numerator and denominator.
[tex]\frac{4*4}{16*4} = \frac{16}{32}[/tex]
Therefore, the lowest fraction for the specified fraction is [tex]\frac{1}{4}[/tex]. Furthermore, the equivalent fraction with the denominator [tex]32[/tex] is [tex]\frac{16}{32}[/tex].
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Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1
The area of the shaded region is ——?
Round to four decimal places as needed
The required area of the shaded region is 0.8339 in the given shown graph.
The area of the shaded region in a standard normal distribution represents the probability of a certain range of values occurring.
As per the question, the shaded region represents the area to the left of the value z = -0.97.
To find the area of the shaded region, we can use the standard normal distribution table, which gives the probability of a value occurring within a certain range of the mean.
In this case, we would look up the probability of a value less than or equal to -0.97 occurring.
According to the standard normal distribution table, the area to the left of z=-0.97 is 0.8339. This means that the shaded region has an area of 0.8339.
Therefore, the area of the shaded region would be 0.8339.
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please help me with d-f
d. The coordinates of the vertical intercept of the function are given as follows: (0,20), meaning that the initial height of the rocket is of 20 feet.
e. The practical domain of the function is of: [0, 9.506]
f. The practical range of the function is of: [0, 371.563].
What is the intercept of the function?The function is given as follows:
h(t) = -16t² + 150t + 20.
The intercept represents the initial height of the rocket, that is:
h(0).
Hence:
h(0) = -16(0)² + 150(0) + 20 = 20 feet.
Hence the coordinates are:
(0,20).
What are the domain and the range of the function?For the practical domain, we have that:
The rocket was launched at a time of 0 seconds.The rocket hit the ground at a time of 9.506 seconds.For the practical range, we have that:
The minimum height is of 0 feet.The maximum height is of 371.563 feet.More can be learned about the domain and the range of a function at https://brainly.com/question/26098895
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At the city park, 32% of the trees are oaks. If there are 400 trees in the park, how many trees are not oaks?
Answer:
272 trees are not oak.
Step-by-step explanation:
First, we need to convert 32% into a decimal by moving the decimal point to the left twice, to get 0.32. Then, we set up this equation:
0.32 x 400 = 128
Now, this is how many oak trees there are. It says to find how many trees are not oaks. So, we can do this by subtracting the total trees, which is 400 by 128:
400 - 128 = 272 trees.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 4 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
The following table shows the number of times key club students at Peconic high school went to echo beach last summer.
Number of echo beach trips: 5,6,8,9,12,14
Frequency: 8,7,11,15,3,4
a. How many students are in the key club?
b. Find the mean, median, mode, range, variance, and standard deviation for the distribution. Round to the nearest tenth
a) The students in the key club are 48students.
b) The mean, median, mode, range, variance, and standard deviation for the distribution are 8.3, 8, 9, 9, 303.52, 17.4
What is meant by standard deviation?The standard deviation is a statistic that measures the amount of variation or dispersion in a set of numbers. A low standard deviation implies that the values are close to the mean of the set, whereas a large standard deviation shows that the values are spread out over a greater range.
Given,
The number of echo beach trips are 5,6,8,9,12,14.
And also given that the frequencies are 8,7,11,15,3,4
a) The students in the key club are,
∑[tex]F_{i}[/tex]=8+7+11+15+3+4
=48
∑[tex]F_{i}[/tex]=48
Therefore, the students in the key club are 48students.
b) Mean= ∑[tex]X_{i}[/tex][tex]F_{i}[/tex]/∑[tex]F_{i}[/tex]
=397/48
=8.27≈8.3
Therefore, Mean=8.3
Total number of observations=48
Here, it is an even number
[tex](48/2)^{th}[/tex] [tex]24^{th}[/tex]position and [tex]((48+2)/2)^{th}[/tex] or [tex]25^{th}[/tex] position
X 5 6 8 9 12 14
F 8 7 11 15 3 4
position 8 8+7=15 15+11=26 26+15=41 41+3=44 44+4=48
The value of X at [tex]24^{th}[/tex] position is 8 and [tex]25^{th}[/tex] position is also 8
Then, Median=(8+8)/2
=8
Therefore, Median=8.3
Mode= Highest frequency corresponding to X value
=9
Therefore, Mode=9
Range=Highest value-Lowest value
=14-5
=9
Therefore, Range=9
Variance=∑[tex]F_{i}[/tex]([tex]X_{i}[/tex]-[tex]\bar{X}[/tex])/∑[tex]F_{i}[/tex]
=8(5-8.3)²+7(6-8.3)²+11(8-8.3)²+15(9-8.3)²+3(12-8.3)²+4(14-8.3)²
=87.12+37.03+0.99+7.35+41.07+129.96
=303.52
Therefore, variance=303.52
Standard deviation=√variance
=√303.52
=17.4
Therefore, standard deviation=17.4
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Find the focus of the parabola: f(x) = 1/4 (x – 3)^2 + 1
Please Help!!
The coordinates of the focus of the parabola are (3, 2)
What is the general equation of a parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix. The general equation of a parabola is -
y = a(x - h)² + k
We have the following equation of a parabola as -
f(x) = (1/4)(x - 3)² + 1
We can calculate the coordinates of the focus using the formula -
Focus : (h, k+ (1/4a))
[h] = 3
[k + (1/4a)] = 1 + (1/(4x 1/4) = 2
Therefore, the coordinates of the focus of the parabola are (3, 2)
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Simplify the fraction to lowest terms, and enter your answer below as a
fraction, using the slash mark (/) as the fraction bar.
16
24
Answer:
[tex]\sf \dfrac{2}{3}[/tex]
Step-by-step explanation:
To simplify a fraction, divide the numerator and denominator by their greatest common factor (GCF).
List all the factors of 16 and 24:
Factors of 16: 1, 2, 4, 8, 16Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Therefore, the greatest common factor is 8.
So to reduce 16/24 to its lowest terms, divide the numerator and denominator by 8:
[tex]\implies \sf \dfrac{16}{24}=\dfrac{16 \div 8}{24 \div 8}=\dfrac{2}{3}[/tex]
Parent wish to have 80,000 available for a child education. If the child is now 5 years old, how much money must be set aside at 8% coompounded semiannually to meet their financial goal when the child is 18
Answer:
To meet the financial goal of having 80,000 available for a child's education when they are 18, the parents must set aside $25,945.90 at 8% compounded semiannually.
Step-by-step explanation:
How much more likely is it that a state name begins with "M" than with "A"?
Answer:
Try with this
Step-by-step explanation:
22 that starts with ''m'' and 16 that start with ''a"
Ayana has $730 in an account. The interest rate is 3% compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answer: $795.70.
Step-by-step explanation: To calculate the amount of interest that Ayana will earn in 3 years, we need to first determine the annual interest rate. If the interest rate is 3% compounded annually, then the annual interest rate is 0.03.
Next, we need to calculate the total amount of interest that Ayana will earn over the 3 year period. To do this, we can use the formula for compound interest: A = P(1 + r/n)^nt, where A is the total amount of interest earned, P is the principal (initial amount of money in the account), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, P = $730, r = 0.03, n = 1 (since the interest is compounded annually), and t = 3. Plugging these values into the formula, we get:
A = $730(1 + 0.03/1)^1*3 = $730(1.03)^3 = $730 * 1.09 = $795.70
Therefore, Ayana will earn $795.70 in total interest over the 3 year period. To the nearest cent, this is $795.70.
A $500 purchase will be discounted by 35%. What will be the amount owed after the discount?
Answer:
I think your discount price would be $175, and your final price as $325.
Step-by-step explanation:
Answer: the answer would be 175
Step-by-step explanation:
M+4>9 I don’t understand how to solve it
Answer:
Step-by-step explanation:
M= 6 because 6+4=10 which is greater than 9
Birthday polynomial project 09/28/2004?
HELP ASAP PLEASE!!!!!!
Answer:
the answer is 0
Step-by-step explanation:
c. Mr. Wilkins is laying bricks to make a
rectangular patio. The
area he is covering with bricks is 15 1/2 feet by 9 3/4 feet. What
is the area of the patio?
Answer:
151 1/8
Step-by-step explanation:
15 1/2: 31/2 9 3/4: 39/4
31/2 X 39/4= 1209/8
1209/8= 151 1/8
Each day for three weeks, Kenisha records the number of eggs her chickens lay. The frequency table
shows her data.
On how many days did Kenisha's chickens
lay 5 or more eggs?
?
days
Number of Eggs
3
4
5
6
7
Frequency
!!
11
Answer:
12
Step-by-step explanation:
add the number of days that the chicken laid 5 or more eggs
5 + 5 + 2 = 12
From the given frequency table, we observe that the chicken lays 5 or more eggs on day 4, 5 and 6, and the eggs laid by the chicken are the greatest on day 4.
What is a frequency table?A frequency distribution table is a tool for structuring the provided data in a way that makes sense and facilitates comprehension. Two or three columns make up a frequency distribution table.
here, we have,
All of the results are shown in the first column as individual values or as class intervals.
The table's second column contains the results' totals, which also display the frequency as vertical lines. It's not required.
The frequency of each result is revealed in the third column.
The frequency table uses lines to depict the number of laid eggs. Here, 5 is represented using a hashed line over four lines. Thus, we see that the maximum number of eggs laid are 6, on day 4.
Also, the chicken lays 5 or more eggs on day 4, 5 and 6.
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Julia has made 9 posts while trying out a new social media platform. Starting now, she plans
to make 1 post daily.
Write an equation that shows how the total number of posts, y, depends on the number of
elapsed days, x.
y
Submit
The equation that shows how the total number of posts depends on the number of elapsed days is y = 9 + x
What equation will show the total post?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the total post be represented by y
Let the daily post be represented by x
Since Julia has made 9 posts while trying out a new social media platform. Starting now, she plans to make 1 post daily. This will be illustrated thus:
y = 9 + (1 × x)
y = 9 + x
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Ryan has a major problem of overspending from each of his paychecks, even though his ultimate goal is to be saving money for college. His friend Sydney says Ryan's problem is that he's too worried about "keeping up with the Joneses." What does Sydney mean by this?
A.Ryan's college savings goals are too lofty, which is why he can't achieve them
B.Ryan is buying too many material things or spending too much on experiences so that he feels on par with his peers
C.Ryan is imitating a famously wealthy family -- the Joneses -- from American history
D.Ryan doesn't know the 50-20-30 rule for budgeting, so he needs to take a financial management class like the fictitious "Jones" family would do in this situation
Answer: B. Ryan is buying too many material things or spending too much on experiences so that he feels on par with his peers
Idioms
Idioms are phrases or expressions that have a specific meaning that is different from the meaning of the individual words, for example, the idiom "you have bitten off more than you can chew" implies that someone is trying to do something that is too difficult for him/her.
"Keeping up with the Joneses" is an idiom that refers to the urge to keep up with the social status, wealth, or popularity of other people around us. This situation causes someone to constantly compare himself/herself with others and buy the same goods in order to show that he/she has as much money as other people.
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Given the table below, write a linear equation that defines the
dependent variable, a, in terms of the independent variable, p.
Someone help
Answer:
a = 4p + 3
Step-by-step explanation:
The general form of a linear equation is y = mx + b
where y is the dependent variable, x the independent variable
m = slope(rate of change)
b = y-intercept which is the value of y when x = 0
In this problem, instead of x we are asked to use p and instead of y we are using a
Therefore we get
a = mp + b
We have to compute m and b
Since b is the value of a when p = 0, we can easily see that a = 3 when p = 0
Therefore:
a = mp + 3
To determine m, take any value of p, find the corresponding a from the table, plug in these values and solve for m
When p = 1, a= 7
So we get
7 = m(1) + 3
7 = m + 3
or
m = 7-3 = 4
So the equation is
a = 4p + 3
You can verify this as correct by plugging in different values for p from the table and checking if you get the corresponding a value
An exponential function () = ab passes through the points (0, 2000) and (3, 1458). What are the values
of a and b?
a = 2000 and b = 0.5
Solve this multiplication promblem.Show your work! 72x139
Answer:
10008
Step-by-step explanation:
2^3 x 3^2 x 139 = 10008
Write a proportion and solve. What is the height of each tree? 18.3 m 9.8 m 32.9 m
Answer: The tree is 17.62m high
Step-by-step explanation:
32.9 divided by 18.3, take that answer and multiply it by 9.8.
***My answer was rounded***
What are the characteristics of a density curve? Select all that apply.
A. The area under the curve always sums to 100%.
B. The area between any two points is always less than 0.25.
C. The percentage of values between any two points on the x-axis is
the area of the figure formed by the curve and the x-axis.
D. The curve always falls on or above the x-axis.
c
Step-by-step explanation:
Because is líke a graphbyou could draw on it but your are going to alway use x.
A company orders 25 boxed lunches from a deli for $208.75. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
What are the slop and Y intercept of the equation 3x - 4y =4
The slope and y-intercept of the linear equation 3x - 4y = 4 will be 3/4 and negative 1, respectively.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
3x - 4y = 4
Convert the equation into slope-intercept form, then we have
3x - 4y = 4
4y = 3x - 4
y = (3/4)x - 1
The slope and y-intercept of the linear equation 3x - 4y = 4 will be 3/4 and negative 1, respectively.
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A house on the market was valued at $402,000. After several years, the value increased by 17%. By how much did the house’s value increase in dollars? What is the current value of the house?
The market value of house increased by $68,340 and the current value of the house is $470,340.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The market value of house before several years =$402,000
Also, the value of house increased by 17%.
The rise in value of house = 402,000 x 17/100
= 68340
The value of house increased by $68,340.
The current value of house = 402,000 + 68340 = 470340
The current value of house is $470,340.
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18 Tony wants to give his server a tip of 20%. He calculates that the tip is $8.50. What is the cost of Tony's meal excluding the tip?
Answer:
42
Step-by-step explanation:
8.50 x 20 and then divide by 100
I hope this helps good luck!
During her most recent check-up, Estefania’s doctor told her that she is 150.2 centimeters tall. Her doctor also told her that has grown 8.7 centimeters taller since her previous visit. How tall, in centimeters, was Estefania during her previous visit?
the answer is 21
according to my calculations 9+10= 21
HELP ME OUT HELP ME OUT
Answer:
r = 12
Step-by-step explanation:
A car travels for 7 hours at 55 miles per hour. Use the formula d = r. t, where d =
distance, r = rate, and t = time, to find the distance the car traveled.
The distance traveled is
miles.
The solution is
The distance traveled is 385miles