Answer:
\(3\sqrt{2}+3\sqrt{7}\)
Step-by-step explanation:
looks like your question don't need a step.
<3
Red
Oliver would like to buy some new furniture for his home. He decides to buy the furniture on credit
with 9.5% interest compounded quarterly. If he spent $5,400, how much total will he have paid after
7 years?
**Two decimal answer**
Please help I really need this answer fast
Answer:
look at attachment
Step-by-step explanation:
Tray weighs 142 pounds .Multiply his weight on Earth by 0.92 to find his weight on the planet Saturn. What is the difference between Tray´s weight on earth and his weight on Saturn
Answer:
There is a 11.36 pounds difference between Tray's weight on Earth and on Saturn
Step-by-step explanation:
142 × .92 = 130.64
142-130.64= 11.36
Hurry help it’s timed
Answer:
x=10
Step-by-step explanation:
By the Trapezoid Midsegment Theorem, the midsegment of a Trapezoid is 1/2(the sum of the 2 bases.
4x-20=1/2(23+17)
4x-20=1/2(40)
4x-20=20
4x=40
x=10
Explain your work please.
WORD PROBLEM: Fill in the blanks
The radius of the oatmeal container is 0.2 inches.
The surface area of the plastic is 0.08π square inches
How to calculate the valueThe base and lid are made of plastic and have a radius of R.
The base and lid have a combined surface area of:
πr² + πr² = 2πr² square inches
The total surface area of the oatmeal container is 40 square inches.
The surface area of the cardboard is 16πr square inches and the surface area of the plastic is 2πr² square inches.
Thus, we have the equation:
40 = 16πr + 2πr²
We can solve for R as follows:
16πr + 2πr² = 40
2πr^2 + 16πr - 40 = 0
2πr^2 + 20πr - 4πr - 40 = 0
20r(πr + 2) - 4(πr + 2) = 0
(20r - 4)(πr + 2) = 0
20r - 4 = 0 or πr + 2 = 0
20r = 4 or πr = -2
r = 0.2
Thus, the radius of the oatmeal container is 0.2 inches.
The surface area of the plastic is 2πr² = 2π(0.2)² = 0.08π square inches
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the class has 12 girls and 16 boys what is the ratio of total students to boys simplest form
Answer:
3:4
Step-by-step explanation:
12:16
divide by 4 on both sides
3:4
can't simplify any further
so therefore the answer is 3:4
need someone to do this for me I am trying to finish some exams and I been stressing help me ASAP ty !!
Answer:
Step-by-step explanation:
1-g
2-h
3-k
4-n
5-f
6-l
7-d
8-i
9-c
10-m
11-p
12-b
13-r
14-q
15-o
16-a
17-e
18-j
Prove the identity cos x+cos y=2 cos(x+y/2) cos(x-y/2)
c. Use parts (a) and (b) to prove the identity.
To prove the identity cos x + cos y = 2 cos((x+y)/2) cos((x-y)/2), we can use the sum-to-product and double angle identities.
(a) Applying the sum-to-product identity for cosines:
cos x + cos y = 2 cos((x+y)/2) cos((x-y)/2)
(b) Expanding the right side using the double angle identity:
2 cos((x+y)/2) cos((x-y)/2) = 2 [cos²((x+y)/2) - sin²((x-y)/2)]
Now, we need to prove that cos x + cos y is equal to the expanded expression on the right side.
(c) Using the double angle identity:
cos x + cos y = cos x + cos x = 2 cos²(x/2) - 1 + 2 cos²(y/2) - 1
Simplifying: = 2 (cos²(x/2) + cos²(y/2)) - 2
Using the Pythagorean identity cos²θ + sin²θ = 1, we can rewrite:
= 2 (1 - sin²(x/2) + 1 - sin²(y/2)) - 2
= 4 - 2sin²(x/2) - 2sin²(y/2) - 2
= 2 (2 - sin²(x/2) - sin²(y/2)) - 2
= 2 (cos²(x/2) + cos²(y/2)) - 2
= 2 [cos²((x+y)/2) - sin²((x-y)/2)]
Therefore, we have shown that cos x + cos y is equal to 2 cos((x+y)/2) cos((x-y)/2), proving the identity.
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the united nations stores data about the kilowatt-hours of wind power produced around the world. the following data set gives information of the united states for 25 years, from 1990 to 2014, in units of million kilowatt-hours. using a calculator or statistical software, find the linear equation of the first 11 years of data, from 1990 to 2000. round the slope to two decimal places and the y-intercept to the nearest whole number. provide your answer below:
The value that the linear equation predicts for the year 2001 is 4652.15
The discrepancy between the actual and anticipated value is 2173.85
Given data;
Here, we present the dataset from the United Nations, which contains information on the number of kilowatt-hours of wind energy generated globally. The data set provides statistics on the US for 25 years, from 1990 to 2014, in millions of kilowatt-hours.
The linear equation for the first 11 years of data, from 1990 to 2000, must be determined.
To determine how much the actual value and anticipated value for the year 2001 differ in Quantity, we must first forecast the value for the year 2001 using our fitted equation with y-intercept.
It will be written as y = m(x) + c.
where,
The dependent variable is y. (in our example is quantity)
The independent variable is x. (in our example is the year)
'm' is equal to the slope of the variable X.
'C' is a constant.
The fitted equation is provided as follows:
Quantity = 186.87 (year) - 369274.72
Now that the value for the year 2001 has been provided,
Quantity = -1868.87 -369274.72
Quantity = 4652.15
The value that the linear equation predicts for the year 2001 is 4652.15.
The precise figure for 2001 is 6806.
For the year 2001, the discrepancy between the actual and anticipated values is
6806 - 4652.15 = 2173.85
The distinction is 2173.85.
(2173.85/6806)*100 is the percentage difference.
As a result, the difference between the actual value and the forecasted value for the year 2001 is 31.94%.
Hence,
The value that the linear equation predicts for the year 2001 is 4652.15
The discrepancy between the actual and anticipated value is 2173.85
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A square has an area of 49 yd squared. What is the length of each side?
Answer:
7
Step-by-step explanation:
at what point do the graphs of 9x - 2y = 30 and x + 2y = 10 intersect
Answer:
(4,3)
Step-by-step explanation:
Suppose you are given a graph G. All you know about it is that it is connected, it has 6 vertices, and it has 14 edges. (a) If G were to be planar, how many regions would it have? (b) Prove that G cannot be planar.
(a) If the given graph G were to be planar, it would have 11 regions.
(b) G cannot be planar because it violates Euler's formula, which states that for any planar graph with V vertices, E edges, and R regions, the equation V - E + R = 2 holds. In this case, with 6 vertices and 14 edges, the resulting value of R does not match the expected value, indicating that G is non-planar.
(a) To determine the number of regions in a planar graph with V vertices and E edges, we can use Euler's formula: V - E + R = 2. Given that the graph G has 6 vertices and 14 edges, we can solve for R by substituting these values into the formula: 6 - 14 + R = 2. Solving this equation, we find R = 11. Therefore, if G were to be planar, it would have 11 regions.
(b) To prove that G cannot be planar, we can again apply Euler's formula. If G were planar, it would satisfy V - E + R = 2. Substituting the known values of V = 6 and E = 14, we have 6 - 14 + R = 2. Solving for R, we find R = 10. However, we determined in part (a) that if G were planar, it would have 11 regions. Since the obtained value of R does not match the expected value, G cannot be planar. Thus, the given graph violates Euler's formula, providing evidence for its non-planarity.
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Consider the logistic differential equation:
dy/dx = y/8(6 - y)
Let f(t) be the particular solution to the differential equationwith f(0) = 8
a. What is the limiting factor?
b. Use Euler's method, starting at t=0 with two steps of equalsize, to appropriate F(1).
c. What is the range of f for t > 0
The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.
a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.
b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.
Using Euler's method with two steps of equal size, we can approximate f(1) as follows:
f(0.5) = f(0) + (1/2)dy/dx|t=0
= 8 - (1/2)(1/6)*8
= 7.333...
f(1) = f(0.5) + (1/2)dy/dx|t=0.5
= 7.333... - (1/2)(7.333.../8)*(6-7.333...)
= 6.636...
Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.
c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.
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What is the measure of angle bac? round to the nearest whole degree. 0° 1° 44° 48°
The angle bac is measured in 44 degrees.
An angle is a geometric figure formed by two rays with a common endpoint, called the vertex of the angle. The rays are also known as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.
We have: \(sin^{-1\)(\(\frac{3.1}{4.5}\)). We must determine the angle of BAC's measurement.
To figure out the estimation of the point BAC, we utilize the worth of transgression converse capability from the wrongdoing reverse table.
Angle BAC=x
\(sin^{-1\) (\(\frac{3.1}{4.5}\)) = x
sin x = (\(\frac{3.1}{4.5}\))
sin x= 0.688
x= \(sin^{-1\) (0.688)
Substituting \(sin^{-1\) (0.688) =43.5
x=43.5°
x ≈ 44°
Consequently, the angle BAC measurement is 44°.
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Complete Question:
What is the measure of angle bac? round to the nearest whole degree.
0° 1° 44° 48°the study would use a . the study would use simple random sampling because it would be easy to randomly select of . b. the study would use a . the study would use cluster sampling because the of fall into naturally occurring subgroups. c. the study would use a . the study would use stratified sampling because it would be important to have members from each segment of the population. d. the study is a , because the population is for it to be practical to record all of the responses.
The study would use a simple random sampling because it would be easy to randomly select. The study would use cluster sampling because the of fall into naturally occurring subgroups. The study would use stratified sampling because it would be important to have members from each segment of the population.
The study is a sample survey, because the population is for it to be practical to record all of the responses.
a. The study would use a simple random sampling because it would be easy to randomly select members of the population. Simple random sampling is a type of probability sampling that is used when the population is homogenous and every member has an equal chance of being selected for the sample.
b. The study would use cluster sampling because the members of the population fall into naturally occurring subgroups. Cluster sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into naturally occurring subgroups.
c. The study would use stratified sampling because it would be important to have members from each segment of the population. Stratified sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into segments or strata based on certain characteristics.
d. The study is a sample survey, because the population is too large for it to be practical to record all of the responses. Sample survey is a type of survey that collects data from a sample of the population, rather than the entire population. This is often done when the population is too large or when it is not practical to survey the entire population.
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2. What is the value of n for the equation 4^5 4^n= 4^15
Answer N=10
Hope this helps
13 - (this number) - (this number) = -6 The numbers have to be the same when subtracting
Answer:
9.5
Step-by-step explanation:
13-x-x=-6
13+6=2x
19=2x
9.5=x
Answer:9
Step-by-step explanation:
13 - 9 - 9
Please help me please help me
Answer:
X = 1
Y = -2
Step-by-step explanation:
Your welcome random person
PLEASE HELP ME...I WILL GIVE YOU BRAINLIEST. PPPPPPPLLLLLLLEEEEEAAAAAAASSSSSSEEEEEEE HHHHHHHEEEEEELLLLLPPPP MMMEE!!!!!!!!!!!!!!!!!!!!!!!
#1. Use milligrams to prove that 1.989 . 10^27 kilograms is equal to 1.989 · 10^33 milligrams.
#2. Use kilograms to prove that 1.989 - 10^33 milligrams is equal to 1.989 . 10^27 kilograms.
Answer:
Since 1 milligram is \(\frac{1}{10^{6} }\) or \(10^{-6}\) kilogram we can then use ratio to solve.
Step-by-step explanation:
#1)
1 : \(10^{-6}\)
x : 1.989*10^27
Cross multiply to get:
\(10^{-6}\)x = 1.989*10^27
Divide both sides by \(10^{-6}\) to get:
x = \(\frac{ 1.989*10^{27}}{10^{-6}}\) which is going to give you 1.989*10^33
Therefore 1.989*10^27 kilograms = 1.989*10^33 milligrams
#2) we can use the same procedure as (#1)
1 : \(10^{-6}\)
1.989*10^33 : x
Cross multiply to get:
1.989*10^27 = x
Therefore 1.989*10^27 milligrams = 1.989*10^33 kilograms
Note: I'm not really sure if this is what you wanted, but hope I was able to help.
Graph the line y=-2x-1
Answer:2024
Step-by-step explanation:
What is a coefficient?
please explain correctly
Answer:
any of the factors of a product considered in relation to a specific factor especially : a constant factor of a term as distinguished from a variable. 2a : a number that serves as a measure of some property or characteristic (as of a substance, device, or process) coefficient of expansion of a metal. b : measure
Step-by-step explanation:
Answer:
in math it is this:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).
in physics it is this:
a multiplier or factor that measures some property
Step-by-step explanation:
PLEASE SOLVE
\(\log \left(x\right)=log\left(2x^2\right)-2\)
Answer:
x = 50
Step-by-step explanation:
\(\log _{10}\left(x\right)=\log _{10}\left(2x^2\right)-2\)
\(\log _{10}\left(x\right)=\log _{10}\left(2x^2\right)-\log _{10}\left(100\right)\)
\(\log _{10}\left(x\right)=\log _{10}\left(\frac{2x^2}{100} \right)\)
\(x = \frac{2x^2}{100}\)
\(100x=2x^2\)
\(x^2 = 50x\)
\(x = 50\)
Write the fraction as a decimal.
Round to the nearest thousandth.
7
22
Answer:
0.318
Step-by-step explanation:
Answer:
0.31818181818182 as a decimal
0.318 rounded to the nearest thousandth
Step-by-step explanation:
Joogh bought reaps for $3 each and biscuits for $6 each. The total cost was 108. Write an equation in standard form showing the relationship reaps (x) and biscuits (y)
Answer:
3x + 6y = 108
Step-by-step explanation:
We are given the cost of x ($3) and y ($6) and the total cost (which will be on the right side of the = sign)We know that x + y = total. This means that we will add $3 and $6 to get the total.You would multiply $3 by x in case there is more than one reap purchased. This applies to biscuits as well.In conclusion, you would use this information to get...3x + 6y = 108 (or $3y + $6y = $108)If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
I need the answer to this question please!
The equivalent expression of 5\(x^{3/2}\) is 5√(x³). The correct option is last one.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression,
5\(x^{3/2}\)
To find the equivalent expression:
We have to simplify the expression,
5\(x^{3.1/2}\)
= 5(x³)\(){1/2}\)
= 5√(x³)
The above expression is an equivalent expression.
Therefore, 5√(x³) is an equivalent expression.
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c. Are 2b + b and 3b equivalent expressions
Answer: Yes
Step-by-step explanation:
Imagine you have b = 2.
Plug 2 into the equation 2b + b = 3b
You get: 2(2) + 2 = 3(2)
Which solves to be 6 = 6
As long as the variable is the same, in this case b, and they are to the same power, in this case ^1, you can combine them.
Answer:
The answer is No they are not equvalient expression
Step-by-step explanation:
please mark as brailist
160 cm is how many mm?
\(\text {Hello! Let's Solve this Problem!}\)
\(\text {The Formula to Solving this is to Multiply the value by 10.}\)
\(\text {Note: 1cm = 10mm}\)
\(\text {\underline {Multiply}}\)
\(\text {160*10=}\)
\(\text {Your Answer Would Be:}\)
\(\huge\boxed {1600mm}}\)
\(\text {Best of Luck!}\)
Solution:
We know that:
1 cm = 10 mmLet's multiply both sides by 160 to determine how much millimeters is 160 centimeters.
Multiplying both sides by 160:
1 cm = 10 mm=> 1 × 160 cm = 10 mm × 160Simplifying both sides:
=> 160 cm = 10 mm × 160 => 160 cm = 1 × 1600 mm=> 160 cm = 1600 mmThus, 160 centimeters is 1600 millimeters.
A bus travels at 10 km in 30 minutes. What is the average speed of the bus?
Answer:
20 kph
Step-by-step explanation:
Step 1:
10 : 30 Ratio
Step 2:
60 mins in hour
Step 3:
10 : 30 = x : 60 Equation
Step 4:
30x = 600 Multiply
Step 5:
x = 600 ÷ 30 Divide
Answer:
x = 20
Hope This Helps :)
Beth wants to build a thin wire frame for a photo that is $$15 cm long and $$6 cm wide. What length of wire will she need to go around the entire photo?
Answer:
42
Step-by-step explanation:
1. PerimeterPerimeter is \(2l+2w\)
2. Solving\(2(15)+2(6)=30+12=42\)Answer: 42
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A 2-liter container holds more than a 3,000-milliliter container. True or false?
To consider whether this statement is true or not
⇒ must determine the number of milliliters in a liter
⇒ 1 Liter = 1000 milliliter
To compare both containers, lets set both containers in terms of milliliters
Container 1 --> 2 Liter Capacity --> 2000 milliliterContainer 2 --> 3000 milliliterBy looking at the data
⇒ the 3000-milliliter container holds more than the2-liter container
Thus, the statement: A 2-liter container holds more than a 3,000-milliliter container
⇒ False
Answer: False
Hope that helps!
Answer:
False because 2 liters = 2,000 milliliters. Therefore that is not possible.