Answer:
Addition with the number 3.
Next numbers will be 15, 18, 21,...
What is the slope of the line passing through the points (2, 5) and (-1,-4)?
Answer:
m=3
Step-by-step explanation:
slope of the line is 3
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If a 123 pound man can have 1213 mg of a medicine in a day, how much can a 102 pound woman have?
(round answer to one decimal place)
The woman weighing 123 pound can take 1005.9 mg of medicine
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.
If a 123 pound man can have 1213 mg of a medicine in a day. Hence:
Unit rate = 1213 mg / 123 pound = (1213/123) mg per pound
For a 102 pound:
Amount of medicine = (1213/123) mg per pound * 102 pound = 1005.9 mg
The woman can take 1005.9 mg of medicine
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A total of $25,000 is going to be split between adam and krissy with adam receiving $3000 less than krissy. how much will each get?
Answer:
Adam=$11000, Krissy=$14000
Step-by-step explanation:
Adam gets 3000 less
Adam=(25000-3000)÷2=11000
Krissy=11000+3000=14000
You have decided to build your shelter close enough to the coastline to be able to fish but far enough away to not bear the brunt of the bitter cold winds. After watching previous seasons of the show, you decide that 50 meters is a good distance away from the coastline. To estimate, you will convert meters to feet (you do not have a tape measure). How many feet is this?
50 meters in feet is 164.042 feet
How to convert from meters to feetIn order to convert meters to feet we would have to cross multiply
That is. one meter is given as 3.28084 feet
We are to convert 50 meters to feet, hence we would have:
If 1 meter = 3.28084
50 meters = ?
When we cross multiply, we would have
? = 3.28084 * 50 meters
? = 164.042
Hence the amount of 50 meters in feet is given as 164.042 feet
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Translate this sentence into an equation. 171 is the product of 9 and Rhonda’s height. Use the variable R to represent Rhonda’s height
Answer:
171=9R
Hope this helped! :)
Answer:Rx9=171
Step-by-step explanation:
HELP ASAP.Next time, the rabbit from the previous problem started at 10 where on the number line can he be after the same three jumps?
This is the previous problem: A rabbit started at point 0 and made 3 jumps a jump of 4 units then a jump of 2 units and then a jump of 1 unit we do not know the direction of either jump where on the line could the rabbit be.
Since the rabbit from the previous problem started at 10, it would be at 17 units on the number line after the same three jumps.
What is a number line?In Mathematics, a number line is a type of graph with a graduated straight line which comprises both positive and negative numerical values that are placed at equal intervals along its length.
From the previous problem, the total distance covered by the rabbit is given by:
Total distance = 4 units + 2 units + 1 unit
Total distance = 7 units.
Since the second point is at 10 units and the open circle arrow points to the right of the number line, the rabbit would cover 7 more distance from this point:
Total distance = 10 units + 7 units
Total distance = 17 units.
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A bean plant measures 1.5 cm and grows 0.1 cm per day. A tomato plant of 0.85 cm grows steadily too. How much can it grow each day knowing that it will have the same height as the bean plant in no more than 10 days?
Answer:
Let's call the growth rate of the tomato plant "g". We know that the height difference between the tomato plant and the bean plant decreases by 0.1 cm per day, so we can write the following equation:
1.5 - 0.85 - (10 * g) = 0
Solving for g:
g = (1.5 - 0.85) / 10 = 0.065 cm/day
So the tomato plant grows at a rate of 0.065 cm per day, and will reach the height of the bean plant in no more than 10 days.
The tomato plant will grow 0.165 cm per day.
Solution:
Given,
Height of bean plant = 1.5 cm
Height of tomato plant = 0.85 cm
The growth rate of bean plant = 0.1 cm/ day
The bean plant will grow 1.5 + (0.1* 10) in 10 days = 2.5 cm
So, the tomato plant will have to grow (2.5 - 0.85) cm in 10 days = 1.65 cm
Since, the tomato plant will grow steadily,
Hence, 1.65/ 10 = 0.165
Therefore, the tomato plant will grow at a rate of 0.165 cm per day
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can someone tell me how to do this problem?
Answer:
C-intercept(s): (0,0)
t-intercept(s): (0,0), (6,0), (-4,0)
Step-by-step explanation:
the C-intercept is essentially the y intercept. this occurs when t=0:
C(0) = 4(0)^4 - 8(0)^3 - 96(0)^2 = 0. so the C-intercept is at (0,0).
the t-intercept is the x-intercept, and occurs when C(t) = 0:
4t^4 - 8t^3 - 96t^2 = 0 = [tex]4t^{2} (t-6)(t+4)[/tex]. C(t) = 0 when t = 0, t= 6, and t = -4.
How can I find the perimeter of rectangle
Answer:
19
Step-by-step explanation:
top = bottom so 4x-4y = 3x+5y so x = 9y
left = right so 2-2y = x-3y so x= y+2
so 9y = y+2
8y = 2
y= 0.25
x=2.25
so just add them all up
2*(4x-4y) + 2*(2-2y )
= 8*(x-y)+4*(1-y)
=16+4*0.75
=19
Five rectangular picture frames are shown below.
Which 2 of the picture frames are similar shapes?
Answer:
A and E
Step-by-step explanation:
Ratio of A=20/30=2/3
Ratio of B=28/50=14/25
Ratio of C=35/50=7/10
Ratio of D=14/26=7/13
Ratio of E=32/48=2/3
therefore A and E are similar shapes
Use the vertex ( h, k ) and a point on the graph ( x, y ) to find the standard form of the equation of the quadratic function:
Vertex = (0,6)
Point = (2,7)
G( x )= Answer field 1
(x- Answer field 2
)^2 +Answer field 3
The required equation of the quadratic function in standard form is:
f(x) = (1/4) x² + 6.
A parabola is a cross-section cut out of the cone and represented by an equation f(x) = a(x - h)² + k.
The standard form of a quadratic function is given by:
f(x) = a(x - h)² + k
where (h, k) is the vertex of the parabola.
Given the vertex (0, 6) and the point (2, 7), we can find the values of a and k and use them to write the equation in standard form.
Let's use the vertex form of the equation:
f(x) = a(x - h)² + k
Since the vertex is (0, 6), we have h = 0 and k = 6:
f(x) = a(x - 0)² + 6
f(x) = a × x² + 6
Next, we use the point (2, 7) to find the value of a:
f(2) = a × 2² + 6
7 = 4a + 6
7 - 6 = 4a
1 = 4a
a = 1/4
So, the equation of the quadratic function in standard form is:
f(x) = (1/4) x² + 6
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The perimeter of a rectangle is 60 cm. Its width measures
16 cm. What is its length?
Let x= the length of the rectangle. Choose the equation that represents this
problem.
O A. 2x-32=60
O B. 2x+16=60
O C. 2x+32=60
O D. x+16=60
Edudig Digger
£35950
Samir buys this digger and expects to use it for 1250 hours each year.
The digger will decrease in value at a yearly rate of 18% of its value at the end of the previous
year.
Use this information to calculate the decrease in value of Samir's digger when it has been
used for 10000 hours.
Answer: To calculate the decrease in value of Samir's digger after 10000 hours, we need to determine its value at the end of each year, taking into account the yearly depreciation of 18%.
Here's the calculation for the first year:
Value at the end of Year 1 = £35950 - (£35950 * 18%) = £29576
And for the second year:
Value at the end of Year 2 = £29576 - (£29576 * 18%) = £24480.48
And so on, until we reach 10000 hours. To determine the exact value after 10000 hours, we would need to perform the calculation for each year until we reach the total number of hours used. However, this calculation would involve multiple steps and can become quite complex. A simpler way to estimate the decrease in value would be to use the concept of present value.
What is the Cartesian form of (5i-3)?
Answer: The Cartesian form of a complex number is the expression of the number in the form of x + yi, where x and y are real numbers and i is the imaginary unit.
The Cartesian form of (5i - 3) is 0 + (5i - 3).
Step-by-step explanation:
The U.S. Department of Education and the U.S. Office for Civil Rights track sexual violence complaints in U.S. Higher Education. The annual data for 2009-2016 are presented below in table form.
Sexual Violence Complaints in U.S. Higher Ed
Year 2009 2010 2011 2012 2013 2014 2015 2016
Number of Complaints 9 11 19 17 32 106 165 177
Calculate the average rate of change in the number of sexual violence complaints for the specific years requested. Ignore the years in between the ones specified. Notice that the time periods are not of equal length. Round all values to the nearest whole number. You get one submission for each unit.
Sexual Violence Complaints in U.S. Higher Ed
Years 2009-2011 2011-2012 2012-2016
Average Rate of Change in Complaints per per per
The average rate of change for the first period is 3.33 cases per year, for the second period is 1 case per year, and for the third period is 40 cases per year.
How to calculate the average rate?To calculate this, the key is to determine the change in the annual rate and divided it by the number of years:
2009- 2011 =
9 - 19 = 10 / 3 = 3.33 cases per year
2011-2012=
19 - 17 = 2/ 2 = 1 case per year
2012-2016=
17 - 177 = 160 / 4 = 40 cases per year
Notice that the second period shows a decrease, while the first and second ones show an increase.
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Find the volume of each solid. Round to the nearest tenth if necessary. There’s to questions so there is two answers. 1=? 2=?
The volume of the sphere with radius 5 yd rounded to the nearest tenth is 523.3 yd³.
What is the volume of the sphere?The volume of a sphere is expressed as;
V = 4/3 × π × r³
Where r is radius and constant pi π = 3.14.
Given the data in the question;
Radius r = 5 ydVolume V = ?To find the volume of the sphere, plug the given value into the above formula and simplify.
V = 4/3 × π × r³
V = 4/3 × 3.14 × ( 5 yd )³
V = 4/3 × 3.14 × 125 yd³
V = 523.3 yd³
Therefore, the volume of the sphere is 523.3 yd³.
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Miko packed 40 bottles of perfume in a box. She sold each bottle of perfume for $30. How much money did she receive from sale of 15 boxes of perfume in all?
Answer: $18 000
Step-by-step explanation:
40 bottles per box
40*15 = 600 bottles total
600 * $30 = $18 000
She made $18 000 in total.
Amount of money she receives from sale of 15 boxes of perfume in all is $18,000.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Given that,
Number of bottles of perfume packed in a box = 40
Cost for each perfume = $30
Cost for 40 perfumes = 40 × $30 = $1200
So cost for a box of perfume = $1200
Cost for 15 boxes of perfume = 15 × $1200
= $18,000
Hence the amount for 15 boxes of perfume is $18,000.
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If 1 mile equals 1,760 yards, then how many miles are in 11,088 yards? 0.6 miles 1.8 miles 6.3 miles 110 miles
Answer:
6.3 miles
Step-by-step explanation:
We are given 11088 yards.
Use the conversion factor 1 mile equals 1,760 yards.
11088 yards * 1 mile/ 1,760 yards
11088 / 1760 miles
6.3 miles
Find the measurement of the following angels and please show work, Im doing corrections aa due at the end of today I will give crown if you try ur best and giving 15 points please please help
Answer:
x=90° (given)
54°+90°+z=180°
144°+z=180°
z=180°-144°
z=30°
in a sequence diagram, a represents the time during which an object above it is able to interact with the other objects in the use case
In a sequence diagram, the vertical line labeled 'a' represents the amount of time during which an object is active and can interact with the other objects in the use case. This can include sending messages, waiting for a response, or any other type of interaction.
In a sequence diagram, the vertical line labeled 'a' is used to represent the amount of time during which an object is active and capable of interacting with the other objects in the use case. This time frame is usually shown as a timeline to give the viewer an idea of how long the object is active. The time ‘a’ could include any kind of interaction between the objects, such as sending messages, waiting for a response, or any other type of interaction. The ‘a’ time frame also indicates when an object is no longer interacting with the other objects in the use case. This timeline can be used to identify points where a user or system may need to wait for a response or where a user or system is no longer able to interact with the other objects in the use case. In essence, the ‘a’ timeline helps to demonstrate how long the use case is active, how long an object is interacting with other objects in the use case, and when the use case has ended.
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F(x)=[[x]]. What is f(10)
Using Pythagorean Theorem, Find the area of the right triangle.
Be sure to include the correct unit in your answer.
20 m
25 m
Answer:
Step-by-step explanation:
Mr. Tabor believes that less than 75% of the students at his school completed their math homework last night. The math teachers inspect the homework assignments from a random sample of 50 students at the school. The math teachers inspect the homework assignments from a random sample of 50 students at the school. Only 68% of the students completed their math homework. A significance test yields a P-value of 0.1265. 1a. Explain what it would mean for the null hypothesis to be true in this setting. 1b . Interpret the p-value. 1c. What conclusion would you make at the alpha = 0.05 signifigance level?
Answer:
1a. The null hypothesis in this setting would mean that the proportion of students who completed their math homework is equal to or greater than 75%.
1b. The p-value represents the probability of observing a sample proportion as extreme as or more extreme than the sample proportion observed (68%), given that the null hypothesis is true. In this case, the p-value of 0.1265 indicates that there is a 12.65% chance of observing a sample proportion as extreme or more extreme than 68%, assuming the true proportion is equal to or greater than 75%.
1c. At the alpha = 0.05 significance level, we reject the null hypothesis if the p-value is less than 0.05. In this case, the p-value of 0.1265 is greater than 0.05, meaning we fail to reject the null hypothesis. Therefore, at the alpha = 0.05 significance level, we cannot conclude that less than 75% of students completed their math homework.
What percentage of the budgeted food is the actual food?
Budgeted: 200
Actual: 230
The actual food is 115% of the budgeted food.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The data is given in the question, as follows:
Budgeted: 200
Actual: 230
To determine the percentage of the budgeted food that is the actual food, we can divide the actual amount by the budgeted amount and multiply by 100.
Percentage = (Actual / Budgeted) * 100
Percentage = (230 / 200) x 100
Percentage = 1.15 x 100
Apply the multiplication operation, and we get
Percentage = 115%
So, the actual food is 115% of the budgeted food.
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Stefany's salary at her company, Horizon Logistics starts at a base salary of $60,000. The table below shows her salary g(x) after x years. Write an explicit rule for the g(x).
help lssssa
The explicit rule for the g(x) is g(x) = 54000 + 6000x
How to determine the explicit ruleThe definition of the function is given as
Initial = 60000
And the table of values
The definitions from the table imply that we simply add 6000 to the previous term to get the current term
This means that
Common difference, d = 6000
The sequence is then represented as
f(x) = a + (x - 1)d
So, we have
f(x) = 60000 + (x - 1) * 6000
Evaluate
f(x) = 54000 + 6000x
Hence, the equation is f(x) = 54000 + 6000x
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The subtotal for Abdiel's takeout order is $21.50. What will Abdiel's total be if he uses a coupon for 10% off the subtotal and leaves a 20% tip before the discount? (2 points)
$22.15
$27.95
$23.22
$23.65
Answer:
Abdiel's total would be $23.22, which is the answer choice C.
Step-by-step explanation:
The total cost of Abdiel's order would be calculated as follows:
Calculate the tip before the discount: $21.50 x 20% = $4.30
Add the tip to the subtotal: $21.50 + $4.30 = $25.80
Calculate the discount: $25.80 x 10% = $2.58
Subtract the discount from the total cost: $25.80 - $2.58 = $23.22
So, Abdiel's total would be $23.22, which is the answer choice C.
The number of tickets purchased by an individual for Beckham College's holiday music festival is a uniformly distributed random variable ranging from 5 to 15. Find the mean and standard deviation of this random variable. (Round your answers to 2 decimal places.)
I need help with this. Please explain
I=PRT
P=5,600
R=0.2
T=4
Step-by-step explanation:
The formula "I=PRT" is the simple interest formula, where:
I = interest
P = principle (the initial amount of money)
R = interest rate (as a decimal)
T = time (in years)
Given the values of P, R, and T:
P = 5,600
R = 0.2
T = 4
We can plug these values into the formula to find the interest:
I = P * R * T = 5,600 * 0.2 * 4 = 4,480
So, the interest earned on a principle of $5,600 at an interest rate of 0.2 (or 20%) for 4 years would be $4,480.
What is the algebraic expression of 2 ( x + 7 ) +10
Answer:
2(x+12)
Step-by-step explanation:
Internet
How many solutions does this system have
X+3y=0
Y=-8+2
Answer: x=18 and y=-6
Step-by-step explanation:
y=-6; x+3y=0