Answer:
7 and 21
Step-by-step explanation:
x+y=28
xy=3x squared
y=28-x
x(28 - x) = 3x^2
28x - x^2 = 3x^2
4x^2 - 28x = 0
(0 is not a natural number)
4x - 28 = 0
x = 7
7 + y = 28
y = 28 - 7
y = 21
If we wanted to analyze the variables Birth Rate and Death Rate at the same time, what would be appropriate to use? Mark all that apply- two-way table- scatterplot- boxplots- histogram- split bar chart- stacked bar chart
To analyze the variables Birth Rate and Death Rate at the same time the scatter plot would be appropriate to use.
A scatter chart, also called as a scatter plot, is a graph that displays the correlation between two variables. They are a very effective type of chart because they enable viewers to see relationships or trends that would be nearly impossible to see in any other form right away.
Modern scatter charts are based on René Descartes' 17th-century cartesian coordinates system, albeit their exact origins are unknown. The majority of scatter plots used in science journals and publications may be found there.
One of the most adaptable and practical inventions in the history of statistical graphs is the scatter chart. This can seem like a bold statement, but scatter charts help make sense of muddled data. They are a tool for discovery as well as visualisation, which is a much bigger role for them.
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Find the volume of the solid of revolution generated by revolving about the x-axis the region under the following curve. y= x from x=0 to x=20 (The solid generated is called a paraboloid.) The volume is (Type an exact answer in terms of n.)
To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:
```
|
20 | *
| *
| *
| *
|*
0 --------------
0 10 20
```
Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.
To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.
To do this, we'll use the formula for the volume of a cylinder, which is:
V = πr^2h
where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:
- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.
So, the volume of each disk is:
dV = πr^2dx
= πx^2dx
To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:
V = ∫(from x=0 to x=20) dV
= ∫(from x=0 to x=20) πx^2dx
Evaluating this integral gives us:
V = π/3 * 20^3
= 8000π/3
So the exact volume of the paraboloid is 8000π/3.
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If Pua needs 3 1/4 cups of oatmeal, how many 1/4 cups of oatmeal will she use?
ANSWER: If you do a trick called all around the world, you should get
13/4
Pua will use 13, 1/4 cups of oatmeal.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Pua needs 3\(\frac{1}{4}\) cups of oatmeal.
The number of 1/4 cups of oatmeal,
she will use,
= 13/4 ÷ 1/4
= 13
Therefore, she will use 13 cups.
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9-4(-a+9)+3(7-2a) simplify
a
-2a-6
Pls help
Answer:
- 2a - 6
Step-by-step explanation:
9 - 4(- a + 9) + 3(7 - 2a) ← distribute parenthesis
= 9 + 4a - 36 + 21 - 6a ← collect like terms
= - 2a - 6
Is the point (8,3) a solution of the equation y = 17x + 7?
Answer:
No
Step-by-step explanation:
The coordinates in an ordered pair are listed (x,y). So, in (8,3) The 8 is the x coordinate and the 3 is the y coordinate. Plug those numbers into the equation and see if it makes a true statement. If it does, then that point is on the line and it is a solution
y = 17x + 7
3 = 17(8) + 7
3 = 136 + 7
3 \(\neq\) 143, so this point is not a solution
what is the perimeter of P:(2,2) Q:(6,2) R:(6,5) S:(2,5)
Answer: 14
Step-by-step explanation:
P(6)- Q(2) = 4
Q(5) - R(2) = 3
R(6) - S(2) = 4
S(5) - P(2) = 3
4 + 3 + 4 + 3 = 14
Brainliest is appericiated!
Answer:
Perimeter = 14
Step-by-step explanation:
to find the perimeter first find the distance between the two points :
d=√((x2-x1)²+(y2-y1)²)
PQ:(2,2)(6,2)
d=√(6-2)^2+(2-2)^2
= √16=4
PQ=4
RS: (6,5),(2,5)
d=√(6-2)^2+(5-5)^2
d=4
RS=4
QR:(6,2),(6,5)
QR=3
SP(2,5),(2,2)
SP=3
perimeter=2length+2width
P=2l+2w
p=2(4)+2(3)
p=8+6=14
4. Solve the following equation for q. 5q- 4q + 6 = 4q - 8.
q = 4p - 14
q = 4p + 14
q = 4p - 2
q = 4p + 2
Answer:
q=4p-14
Step-by-step explanation:
> 5q-4q+6=4q-8
> 5q-4q+6+8=4p
> q+14=4p
> q=4p-14
help please, very confused
57°
Step-by-step explanation:
angle of RAD is the double of RBD
what would be the ending bank balance?
(From Unit 4, Lesson 1.)
5. Clare and Han are discussing how to find the missing lengths. Clare says she is using
similarity. Han says he is using the Pythagorean Theorem.
a. Do you agree with either of them? Show or explain your reasoning.
b. Find the missing sides.
The values of the missing sides is DE = 12 and AC = 6.5
Similar triangles
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion. Also all the corresponding angles are congruent.
Using Pythagoras:
AC² = AB² + BC²
AC² = 2.5² + 6²
AC = 6.5
Using similar triangles:
BC / DE = AB / EF
6/DE = 2.5/5
DE = 12
The values of the missing sides is DE = 12 and AC = 6.5
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In the figure, name the intersection of lines m and n.
B
m
H
K
j
DC
B
K
A
can someone please help?
Find the surface area of the cone in square centimeters. Round to the nearest tenth
Answer:
A = 1,462.73 cm^2
Step-by-step explanation:
A = (pi)(12)(26.8) + (pi) (12)^2
A = 1,010.34 + 452.39
A = 1,462.73 cm^2
What is the solution of the inequality sh
below?
9+b≤2
Answer:
b≤-7Step-by-step explanation:
b+9≤2
Subtract 9 from both sides:
b+9-9≤2-9b≤-79+b≤2
subtract 9 on each side which will be -7
the answer will be b≤-7
how to find sample size with margin of error on ti 84
The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.
To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:
1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.
2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.
Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.
3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.
4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.
5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.
6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.
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someone please help me it’s only one question :)
Answer:
D
Step-by-step explanation:
It is exponential decay if it was growth then it would say 1+0.12 not 1-0.12
What is the range of the points on the graph?
Answer:16
Step-by-step explanation:
A car is traveling along a road that makes a 13° angle with the ground. Find the elevation of the car on a stretch of road that extends horizontally 125 meters. Round your answer to the nearest tenth.
Answer:
Therefore, the elevation of the car on the stretch of road, rounded to the nearest tenth, is approximately 29.7 meters.
Step-by-step explanation:
To find the elevation of the car on a stretch of road that extends horizontally 125 meters, we can use trigonometry.
Given:
Angle of the road = 13°
Horizontal distance = 125 meters
We can use the tangent function to calculate the elevation:
tan(angle) = opposite / adjacent
In this case, the opposite side represents the elevation, and the adjacent side represents the horizontal distance.
Let's denote the elevation as "e". The equation becomes:
tan(13°) = e / 125
To solve for "e", we can rearrange the equation:
e = 125 * tan(13°)
Using a calculator, we can evaluate this expression:
e ≈ 125 * tan(13°) ≈ 29.7
⚠️⚠️ What’s the SLOPE and Y intercept (b) ⚠️⚠️
PLEASE HELP,
Answer:
y = 1x+300
Step-by-step explanation:
Thats what i think is but th eiline dosent texactlyhit each corner
I need some help with this
Answer:
a. 121
b.2
Step-by-step explanation:
a.
33/3×11>11
11×11>11
121>11
b.
5×2/8<5
10/8<5
1.25<5
What is the value of x in the triangle?
Answer:
a. 10√2
Step-by-step explanation:
hey, just use Pythagoras theorem
h²=p²+b²=10²+10²=100+100=200
h²=200, h= √200 =√(100×2)=√100×√2=10√2
A) (-6) - (+3) =
Please put the working also
Answer:
-9
Step-by-step explanation:
A) (-6) - (+ 3) = -6 -3 = -9
100 points !! PLEASE HELP A line has a slope of 2/7 and a y-intercept of –2. Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = \(\frac{2}{7}\) x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = \(\frac{2}{7}\) and c = - 2 , then
y = \(\frac{2}{7}\) x - 2 ← equation of line
A bowl of cold gazpacho soup is warming to room temperature. The temperature difference between the soup and the room decreases by 10% every minute. What will the temperature difference be in 4 minutes if it is currently 12°C?
The temperature difference be in 4 minutes if it is currently 12 °C will be 7.87 °C.
What is an exponent?Consider the function:
y = a (1 – r)ⁿ
Where n is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
A bowl of cold gazpacho soup is warming to room temperature.
The temperature difference between the soup and the room decreases by 10% every minute.
Then the equation will be
\(\rm T(t) = T(0)(1 - 0.10)^t\)
Then the temperature difference be in 4 minutes if it is currently 12 °C will be
T(5) = 12(1–0.10)⁵
T(5) = 7.87 °C
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The figure shows two right triangles, each with its longest side on the same line. R 4 How long is XY? Type the answer in the box.
Answer: 6
Step-by-step explanation:
Because corresponding sides of similar triangles are proportional,
\(\frac{XY}{3}=\frac{4}{2}\\ \\ \frac{XY}{3}=2\\ \\ XY=\boxed{6}\)
Every minute 2.5 gallons of water flows from the shower a family of four people showers for an average five minutes per person every morning how many gallons of water does a family use for showering every morning
Answer:
number of gallons of water the family will use every morning = 50 gallons
Step-by-step explanation:
Every minutes 2.5 gallons of water flows from the shower . The amount of water disperse by the shower for every 1 minutes is 2.5 gallons. The family using the shower are 4 in numbers . And each of them spend on average of 5 minutes showering .
Let us find how many gallons of water will flow for 5 minutes since family member spent an average of 5 minutes bathing every morning/. Therefore,
2.5 gallons = 1 minutes
? gallons = 5 minutes
cross multiply
number of gallons of water each family member uses every morning = 2.5 × 5 = 12.5 gallons
They are 4 family members in number since each person uses 12.5 gallons of water , 4 of them will use 4 × 12.5 = 50 gallons
How to do mixed fractions
Answer:
Step 1: Multiply the denominator with the whole number. Step 2: Add the numerator to the product obtained from step 1. Step 3: Write the mixed fraction with the sum obtained from step 2 as the numerator and the denominator of the original fractional part of the mixed fraction.
Step-by-step explanation:
Hope this helped :D
find the total surface area for this cuboid 5,2.3,7.5
Step-by-step explanation:
Surface area of cuboid length =7.5cm width =2.3cm height =5cm
Ravindra' monthly income i rupee 90000. After pending on variou expenditure, he manage to ave rupee 40000 per month. What percentage of hi income doe he ave?
The percentage of his income he saved is 44.4%.
Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.
In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".
If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:
percentage = (40,000/90,000) x 100% = 44.4%
Hence, she saves 44.4% of his income per month.
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Un concensario de coches rebaja a 16000 un vehiculo que valia 18300 en que porcentaje lo han rebajado?
As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .
The initial price of the car is set at P = 18300 (units)
The price after lowering drom P becomes A= 16000 (units)
Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.
The formula for calculating percentage change is given as follows,
Change in percentage = [(Change in value)/ ( Initial value) ]*100
⇒Change in percentage = (C/ P)*100
⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)
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A home builder needs to cover the rectangular floor of a closet with carpet. The closet is 5 yards long and 3/4 of a yard wide. How much carpet will the home builder need to cover the closet? (PLEASE HELP?)
Answer: 3 3/4s' carpets
Step-by-step explanation: