Hello! Let's simplify it:
- (-8) is the same that -1 * (-8), so we have to change the signal, obtaining +8.
Solve the equation below for x by graphing
3x =8_2x
The solution to the equation 3x = 8 - 2x is x = 1.6.
To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:
Express the equation in the form of y = f(x). Rearrange the equation:
3x + 2x = 8
5x = 8
x = 8/5 or 1.6
Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.
Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.
The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).
Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.
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Which statement best describes a cause and effect structure of a speech?
o It discusses similarities and differences between two different topics,
O It shows the challenges of a topic and explains how the issue can be solved.
O It provides the audience with the order in which events happened.
o It presents the reasons something happened and describes the result.
Answer:
Fourth option
Step-by-step explanation:
Cause and effect all starts with a reason for a certain event, for example perhaps a group of children going into an abandoned house that is rumored to be "haunted", which caused an effect. So, in this case the children going into an abandoned house that is rumored to be haunted (cause) which then lead into a result, a ghost started to chase them around the house in till they could manage an escape. (effect) Although creating a very good story for us to read, cause and effect has real life examples. The answer is the fourth option or "it presents the reasons something happened and describes the result."
Hope this helps.
The distance in feet karina swims in a race is represented by 6d-6, where d is the distance for each lap what is an expression equivalent to 6d-6
Answer:
its c
Step-by-step explanation:
sketch the region y=sqrtx, y=0, x=4
Answer:
see attached for a sketch
area = 5 1/3 square units
Step-by-step explanation:
You want the area under the square root curve, above y=0, from x=0 to x=4.
AreaThe area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...
dA = (√x)dx
A = ∫(√x)dx
The power rule can be used for the integration:
\(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)
The area of the region is 5 1/3 square units.
__
Additional comment
You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.
This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.
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Which of the following statements is false? (Math)
Step-by-step explanation:
Can You Explain In Brief?
Answer:
where are the statements
please check it
A person invests 4000 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?
Answer:
t = 6.8 years
Step-by-step explanation:
The formula for compound interest is
\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.
We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal). We must solve for t and round to the nearest tenth:
\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)
4/3 > 100/34 or is it 4/3 < 100/34
Answer:
its 4/3<100/34
Step-by-step explanation:
4/3 is 1 1/3 and 100/34 is like 2 and 28/32or something but 1<2 so 100/34 is greater hope this helps plz mark brainliest
Solve me the question
The mean, mean deviation mode, median standard deviation, and coefficients of variation, CV, are as follows;
1. The mean deviation about the mean, median mode are;
2.653, 3.709, and 3.709, respectively
The coefficients of variation are;
0.364, 0.337, 0.337, respectively
The variance is about 9.462
The standard deviation is about 3.076
2. Section A has a higher relative dispersion than section B
3. City 2
4. a. Mean ≈ 43.85
b. Mode 40 - 54 inches
c. Median ≈ 45.16
The variance ≈ 125.8056
Standard deviation ≈ 11.216
Coefficient of variation ≈ 0.268
What is a coefficient of variation?The coefficient of variation of a data quantifies or is a measure of the variability of the values in the set of data.
The mean for the data can be calculated as follows;
Mean = (3×10 + 6×15 + 11×25 + 2×6 + 4×4 + 10×3 + 5×2 + 7×8 + 8×9 + 9×4)/(10+15+25+6+4+3+2+8+9+4) ≈ 7.29
The median is the 86/2 value = 43rd value
10 + 15 + 25 = 50
Therefore, the median is in the class with a frequency of 25, which is 11
The mode of the data, which is the value with the highest frequency in the data set is 11
The mean deviation from the mean is therefore;
(|3 - 7.29|×10 + |6 - 7.29|×15 + |11 - 7.29| ×25 + |2 - 7.29| ×6 + |4 - 7.29| ×4 + |10 - 7.29| ×3 + |5 - 7.29| ×2 + |7 - 7.29|×8 + |8 - 7.29| ×9 + |9 - 7.29| ×4)/(10+15+25+6+4+3+2+8+9+4) ≈ 2.653
The coefficient for the mean deviation about the mean is therefore; 2.653/7.29 ≈ 0.364
The mean deviation about the median is therefore;
(|3 - 11|×10 + |6 - 11|×15 + |11 - 11| ×25 + |2 - 11| ×6 + |4 - 11| ×4 + |10 - 11| ×3 + |5 - 11| ×2 + |7 - 11|×8 + |8 - 11| ×9 + |9 - 11| ×4)/(10+15+25+6+4+3+2+8+9+4)
The mean deviation about the median = 319/86 ≈ 3.709
The coefficient ≈ 3.709/11 ≈ 0.337
The median = The mean deviation about the mode ≈ 3.709
The coefficient is about 0.337
The variance = (10×(3 - 7.29)² + 15×(6 - 7.29)² + 25×(11 - 7.29)² + 6×(2 - 7.29)² + 4×(4 - 7.29)² + 3×(10 - 7.29)² + 2×(5 - 7.29)² + 8×(7 - 7.29)² + 9×(8 - 7.29)² + 4×(9 - 7.29)²)/(10+15+25+6+4+3+2+8+9+4) ≈ 9.462
The standard deviation, s ≈ √(9.462) ≈ 3.076
2. The coefficient of variation, CV, can be used to compare the variability of the datasets comprising of different scales as follows;
CV = Standard deviation/( The mean of the data)
Therefore; CV for section A = 23/79 ≈ 0.2911
CV for section B = 11/64 ≈ 0.172
The higher CV value for section A indicates that the scores of section A have a higher relative dispersion than the scores for the section B
3. The consistency values can be obtained by finding the standard deviation for the values in the data for each city, using a web based tool as follows;
City 1; Mean = 23
Variance = 50/4
Standard deviation, City 1 = (√(50))/2 = 5·√2/2
City 2; Mean = 21.8
Sample variance = 2.2
Standard deviation, City 2 = √(2.2) ≈ 1.483
City 3; Mean = 29.2
Sample variance = 18.7
Standard deviation, City 3 = √(18.7) ≈ 4.324
The standard deviation of city 2, which is the smallest compared tom the other cities, indicates that the City 2, has the most consistent temperature
4. The mean of the data obtained from the data using the midpoint of the data, is; Mean = ∑fx/∑f
Therefore; The mean obtained using an online tool is; 43.85
The mode is the data that occurs most frequently, which is the data with the value; 40 - 54 inches
The median is the value at the middle of the data set, which is the value with a frequency of 53, and in the interval 40 - 54 inches
The median is; 39.5 + (54.5 - 39.5) × (50 - 30)/53 ≈ 45.16
The standard deviation found for the grouped data, using an online tool is as follows;
Variance, σ² ≈125.8056
The standard deviation, σ ≈ √(125.8056) ≈ 11.216
The coefficient of variation is; 11.216/41.83 ≈ 0.268
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A piece of copper wire which is 56cm long is bent to form a rectangle of area 171cm².find the length and the width of this rectangle.
Answer:
Length= 19cm
Width= 9cm
Step-by-step explanation:
let the length of the rectangle be L cm and its width be W cm.
Perimeter of rectangle= 56cm
2L +2W= 56
L +W= 56 ÷2
L +W= 28
L= 28 -W -----(1)
Area of rectangle= length ×width
LW= 171 -----(2)
Susbt. (1) into (2):
W(28 -W)= 171
28W -W²= 171 (expand)
W² -28W +171= 0 (bring everything to one side)
(W -19)(W-9)= 0 (factorise)
W-19=0 or W-9=0
W= 19 or W= 9
Subst into (1):
L=28 -19 or L= 28 -9
L=9 or L= 19
Since we usually take the longer side of the rectangle to be its length, L= 19 and hence W=9.
Therefore its length is 19cm and its width is 9cm.
13 points!! Mikes bikes charges an initial fee of $10 to rent a bike plus $5 per hour (h) of use. If the total cost (t) can be determined using the equation t=10+5h, what is the greatest number of hours someone can rent a bike for $25
Answer:
Greatest number of hours = 3
Step-by-step explanation:
Given that:
Initial charges = $10
Per hour charges = $5
Number of hours = h
Equation;
t = 10 + 5h
For finding the hours for $25, we will put t=25 in the equation
25 = 10 + 5h
25 - 10 = 5h
5h = 15
Dividing both sides by 5
\(\frac{5h}{5}=\frac{15}{5}\\h=3\)
Hence,
Greatest number of hours = 3
Answer:
3
Step-by-step explanation:
The box-and-whisker plots below show the distribution of prices (in thousands of dollars) of sports cars at two local dealerships.
Which of the following statements is true?
A. The median price at Dealer 1 is lower than the upper quartile price at Dealer 2.
B. The lower extreme price at Dealer 1 is higher than the upper quartile price at Dealer 2.
C. The upper extreme price at Dealer 1 is lower than the upper extreme price at Dealer 2.
D. The lower extreme price at Dealer 1 is higher than the median price at Dealer 2.
The lower extreme price at Dealer 1 is higher than the median price at Dealer 2.
What is price?Price is the value of a product or service that an individual or business is willing to accept in exchange for a good or service. It is typically determined by the market forces of supply and demand. Prices are usually expressed in monetary terms, but can also be expressed in terms of labor time or other resources. Prices can vary widely depending on the availability of a good or service, the amount of competition, and other factors.
This conclusion can be drawn from the box-and-whisker plots of the prices of the sports cars at each of the two dealerships. The lower extreme price of the sports cars at Dealer 1 is represented by the lower whisker of the box-and-whisker plot and is higher than the median price of the cars at Dealer 2, which is represented by the horizontal line in the middle of the box-and-whisker plot. This means that the lower extreme price of the sports cars at Dealer 1 is higher than the median price of the cars at Dealer 2.
The higher prices of the sports cars at Dealer 1 could be due to several factors. It is possible that the cars sold at Dealer 1 are of a higher quality or have more features than those sold at Dealer 2. Additionally, Dealer 1 may simply be charging higher prices due to its location or reputation. Whatever the reason, it is clear that the lower extreme price of the sports cars at Dealer 1 is higher than the median price of the cars at Dealer 2.
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HELP PLEASE
Use cross products to determine whether the proportion is true or false.
3/5/2= 1.8/6
Answer:
False
Step-by-step explanation:
To make this true the proportion would be 3
Answer:
The proportion is true
Step-by-step explanation:
3/5 = 0.6
3/5/2 = 0.6/2 = 0.3
1.8/6 = 0.3
So the proportion is true
Find the midpoint of the line segment shown below.
Answer:
(-3,-1.5)
Step-by-step explanation:
The two points are: (-2,1) & (-4,-4)
\(x = \frac{ - 2 - 4}{2} = - 3 \\ \\ y = \frac{1 - 4}{2 } = - \frac{3}{2} = - 1.5\)
May want to get 35% of a 6.8 pound bag of almonds to her neighbor how many pounds did she gift to her neighbor?
Answer:
2.38 pounds of almonds
Step-by-step explanation:
35% - 00.35
6.8
×
00.35
--------
2.38
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
What is the length of AD?'
Use the given information to complete the worksheet.
Thank you!
The length of side AD is,
⇒ AD = 16
We have to given that;
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
Since, Volume of right triangular prism is,
V = 1/2 (bh) x L
Substitute all the values we get;
V = 1/2 (22 × 11) × AD
1936 = 121 × AD
AD = 16
Thus, The length of side AD is, 16
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17p5
Exponent:
Variable:
tify the term, coefficient, and the variable.
Term:
Coefficient:
For the given expression, the variable is p, coefficient is 17 and the exponent is 5.
Expression:
Expression refer the algebraic expression that consists of variables, numbers and math operators.
Given,
Here we have the expression 17p⁵
Now, we have to find the exponent, coefficient and variable.
As per the definition of exponent, the term exponent refers the power value of the expression.
So, the exponent is 5.
And the definition of coefficient is an integer that is written along with a variable or it is multiplied by the variable.
So, the coefficient is 17.
And the variable of this expression is p.
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Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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PLEASE PLEAS PLEASE HELP
Answer:
Step-by-step explanation:
option 4
Answer:
Your answer is going to be option 3.
Step-by-step explanation:
The 4 represents the y-intercept and the 3x represents the slope. Graphing this will give you option 3.
option 3. If you go to the website with a graphing calculator and type that equation in, it will give you option 3.
In ΔGHI, \text{m}\angle G = (10x+9)^{\circ}m∠G=(10x+9)∘, \text{m}\angle H = (3x+13)^{\circ}m∠H=(3x+13)∘, and \text{m}\angle I = (x+4)^{\circ}m∠I=(x+4)∘. What is the value of x?x?
Applying the sum of triangle theorem, the value of x is: 11.
Sum of Triangle TheoremThe sum of triangle theorem states that, all the three interior angles of a triangle equals 180 degrees.
Given:
m∠G = (10x + 9)°m∠H = (3x + 13)°m∠I = (x + 4)°Therefore:
(10x + 9) + (3x + 13) + (x + 4) = 180
Add like terms14x + 26 = 180
14x = 180 - 26
14x = 154
x = 11
Therefore, applying the sum of triangle theorem, the value of x is: 11.
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Find the equation of a straight line cutting off the y-intercept 4 from the axis of y and inclined to 60° with the positive direction of X-axis.
The linear function is given as follows:
\(y = \sqrt{x} + 4\)
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The y-intercept is of 4, hence the parameter b is given as follows:
b = 4.
The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:
m = tan(60º)
\(m = \sqrt{3}\)
Thus the function is given as follows:
\(y = \sqrt{x} + 4\)
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PLS HELP.I WILL MARK BRAINLIEST!!
Answer:
Answer in attachment photo
If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
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what are the cubic units? Pleaseee
Answer: pls mark me brainiest
Step-by-step explanation:
I am very sure that the answer is V≈351.86
Answer:
112π
Step-by-step explanation:
Cubic units are units when talking in the 3rd dimension
The volume of a cylinder is πr² x h
find the area of the base first.
since we can write it in terms of π, don't worry about decimals.
The radius is 4.
plug it in, the base's area is 16π. Multiply that by the height, 7.
16(7)π
112π is the volume
Find the principal needed now to get the given amount; that is, find the present value. to get $110 after 1 1/4 years at 4% compounded continuously The present value of $110 is $?. (Round to the nearest cent as needed.)
The present value needed to get $110 after 1 1/4 years at 4% compounded continuously is about $102.79.
We will use the continuous compound interest formula:
\(A = Pe^{(rt)\)
Wherein
A is the future amount, P is the present value, r is the annual interest price,t is the time in years.Substituting the given values, we've got:
\(110 = Pe^{(0.04*1.25)\)
Simplifying, we get:
\(110 = Pe^{0.05\)
Dividing each sides by using \(e^{0.05\), we've got:
\(P = 110/e^{0.05\)
Using a calculator, we get:
\(P \approx $102.79\)
consequently, the present value needed to get $110 after 1 1/4 years at 4% compounded continuously is about $102.79.
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Which of the following equations does NOT have a soulution of x=o.5 ? 10x – 5 = -2x + 1
-2x + 6 = -6x + 8
-5x + 10 = x + 7
3x + 3 = -2x + 13
How much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $2,090 after one year?
Answer:
$1,951.03.
Step-by-step explanation:
To determine how much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $ 2,090 after one year, the following mathematical calculation must be performed:
X x (1 + 0.07 / 2) ^ 1x2 = 2,090
X x 1,035 ^ 2 = 2,090
X x 1.071225 = 2,090
X = 2,090 / 1.071225
X = 1,951.03
Thus, $ 1,951.03 must be invested at 7% per annum compounded semiannually to have $ 2,090 in the account after one year.
ILL MARK BRAINLIST , pls help n
Answer:
answer is b
Step-by-step explanation:
Bob's mom is 3 times older than Bob. In 12 years, Bob's mom's age will be twice of
her son's. How old are Bob and Bob's mom now?
I would use a chart to solve this problem.
This is a good wya to organize your information.
Down the left side, list the people involved.
I put Bob first and the mom second but the order doesn't matter.
Since Bob's mom is 3 times older than Bob, we can represent
Bob's age now as x and Bob's mom's age now as 3x.
Bob's age in 12 years will be x + 12 and Bob's mom's
age in 12 years will simply be 3x + 12.
Since the second sentence starts with in 12 years,
we will be using the information from our second column.
In 12 years, Bob's mom's age, 3x + 12, will be,
equals, twice of her son's age, 2(x + 12).
Solving from here, we find that x = 12.
This means that Bob's age now is 12 and his mom is 36.
The chart is attached below.
Answer:
12 and 36 = bob is 12 and bob's mother is 36
answer both question for 20 pints and Brainliest
Step-by-step explanation:
Answers chosen by you are correct.
you can submit.
use the geometric definition of the cross product and the properties of the cross product to make the following calculations.
The geometric definitions are given below:
\(\vec{i}\times \vec{j} = \vec{k}\vec{j}\times \vec{k} = \vec{i}\vec{k}\times \vec{i} = \vec{j}$Let $\vec{a}$ and $\vec{b}$ be two vectors.$\vec{a}\times \vec{b} = -\vec{b}\times \vec{a}$ \& $ \vec{a}\times \vec{a} = 0\)
A. \(((\vec{j}+\vec{k})\times \vec{j})\times \vec{k} = (\vec{j}\times \vec{j} + \vec{k}\times \vec{j}) \times \vec{k} = (0 - \vec{i})\times \vec{k} = -\vec{i}\times \vec{k} = \vec{j}\)
B. \((\vec{i} + \vec{j})\times(\vec{i}\times \vec{j}) = (\vec{i} + \vec{j})\times \vec{k} = \vec{i}\times \vec{k} + \vec{j}\times \vec{k} = -\vec{j} + \vec{i}\)
C. \(4\vec{k}\times(\vec{i}+ \vec{j}) = 4\vec{k}\times\vec{k}+4\vec{k}\times\vec{j} = 0 - 4\vec{i} = - 4\vec{i}\)
D. \((\vec{i}+\vec{j})\times(\vec{i}-\vec{j}) = \vec{i}\times \vec{i} - \vec{i}\times \vec{j} + \vec{j}\times \vec{i} - \vec{j}\times \vec{j} = 0 -\vec{k} -\vec{k}+0=2\vec{k}\)
What is a Cross-Product?In three dimensions, the cross product is a binary operation on two vectors. A vector that is perpendicular to both vectors is produced as a result. A B stands for the vector product of two vectors, a and b.
The resulting vector is parallel to both a and b. Cross goods are another name for vector products.
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