Answer:
Step-by-step explanation:
Area = Length * width
x² + 11x + 28 = (x + 7) * width
(x + 4)(x + 7) = (x + 7) * width
so
width = x + 4
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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Pretty please help me!!!!!
What is the absolute value of the number indicated on the number line?
A. -1 3/7
B. 1 1/3
C. -1 1/3
D. 1 3/7
Answer:
1 and 1/3
Step-by-step explanation:
The absolute value means that you have a positive sign no matter what the value is. It is the distance in units from 0 on the number line to the point in question.
The number line is laid out in 1/6. Each tick is 1/6. Since the point is at 1 and 2/6, we have to reduce the fraction. In 2/6 you can divide the bottom and top by 2 to reduce the fraction.
2 divided by 2 = 1
6 divided by 2 = 3
Therefore the 2/6 reduces to 1/3
You already know you had a 1, so you add 1/3 and it is 1 1/3.
4c=3 solve for c please
Step-by-step explanation:
Given equation is:-
4c=3Dividing both sides by 4, we get
4c/4=3/4By doing simply, we get
c=¾Hence, the value of c will be ¾.
Construct a box-and-whisker
16, 12, 13, 14, 16, 18, 15, 17, 20, 12, 14, 15, 15
graph using the following data.
Given statement solution is :- Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:
Sort the data in ascending order:
12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20
Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:
Median = 15
Find the lower quartile (Q1), which is the median of the lower half of the data set.
Counting from the start, the lower half of the data set is:
12, 12, 13, 14, 14
Q1 = 13
Find the upper quartile (Q3), which is the median of the upper half of the data set.
Counting from the end, the upper half of the data set is:
17, 18, 20
Q3 = 18
Find the minimum and maximum values in the data set:
Minimum = 12
Maximum = 20
Now that we have the necessary values, we can construct the box-and-whisker plot:
lua
Copy code
| |
12 | -------------|
13 | |
14 | ----
15 | -------
16 | -------------|
17 | |
18 | ----
20 | |
|_________________|
In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
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Fill in the blanks to prove that the sum of the measures of the interior angles in this triangle is equal to 180°. 21° + 49° + ° = °
Based on the fact that the sum of the interior angles need to be equal to 180°, the missing angle is 110°
What is the missing angle?The sum of all the interior angles need to add up to 180° which means that to find the missing angle, you should subtract the known angles from 180°.
The missing angle is:
= Total angle - Known angles
Solving for the missing angle gives:
= 180 - 21 - 49
= 180 - 70
= 110°
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Answer:
Step-by-step explanation:
Solve the following equation
3^(2x)-10.3^x+9=0
Answer:
x≈1.63634604
Step-by-step explanation:
It a lot of work
1. Javier scored 78% on the test. Write this
percent as a fraction in simplest form and
as a decimal.
Answer:39/50
Step-by-step explanation:
3/5 + 2/7 as a fraction in simplest form. I need help
Answer:
37/35 or 1 2/35
Step-by-step explanation:
find a common denominator
5*7 = 35
so
3/5=21/35
and 2/7 = 10/35
add!
27/35+10/35 = 37/35
Answer:
\( \frac{41}{21} \)
f(x)=x^3+5x+k and x+2 is a factor of f(x), then what is the value of k?
The value of k is 18.
If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.
Substituting x = -2 into f(x), we have:
f(-2) = (-2)³ + 5(-2) + k
= -8 - 10 + k
= -18 + k
Since f(-2) should equal zero, we have:
-18 + k = 0
k = 18
Therefore, the value of k is 18.
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Betty dumped her piggy bank and found out that she had saved 256 coins. She separated them and counted 32 nickels.
What percent of Betty's coins are nickels?
11.1%
11.5%
12.5%
14.3%
32 / 256 = 8 / 64 = 1 / 8 = 12.5%
12.5
Step-by-step explanation:
i just did .125 x 256 and got 32
North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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Howdy! Thanks for stopping by my question! I would really appreciate the help! I've attached the question below. Thanks!
I'd appreciate if you made sure to double check your answers and provide everything the question is asking! INCLUDE ALL STEPS!
Answer:
a) x = 1 ± (3/7)√7
b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)
Step-by-step explanation:
You want solutions to the relations ...
7 +1/x = 1/(x-2)(x² -4x -12)/(x² -25) ≥ 0a) 7 + ...We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.
\(7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0\)
The roots of the numerator quadratic are found by ...
x² -2x -2/7 = 0 . . . . . divide by 7
x² -2x +1 -9/7 = 0 . . . . add and subtract 1
(x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7
x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root
x = 1 ± (3/7)√7
b) (x² - ...Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.
\(\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0\)
This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.
The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.
The inequality is satisfied for ...
x < -5-2 ≤ x < 56 ≤ xEvaluate (10 – 4i) ÷ (5 + i).
Fifty-four twelfths minus fifteen twelfths i
Twenty-three twelfths minus fifteen twelfths i
Fifty-four thirteenths minus fifteen thirteenths i
Twenty-three thirteenths minus fifteen thirteenths i
The quotient of the given complex number is 7/13 - 15/13i
Given the division expression
(10 – 4i) ÷ (5 + i).
This can also be expressed as:
10-4i/5+i
On rationalizing, we will have:
10-4i/5+i * 5-i/5-i
50-10i-20i-4(-1)/25-(-1)
50-30i+4/26
54-30i/26
27/13 - 15/13i
Hence the quotient of the given complex number is 7/13 - 15/13i
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Answer: D \(\frac{23}{13} - \frac{15}{13} i\)
Step-by-step explanation:
40. Circle A has a radius 4 inches. Is each statement about circle A true?
The first statement is about the diameter of the circle.
The diameter of a circle is always the double of its radius.
So if circle A ras a radius of 4 inches, its diameter is:
\(\text{diameter}=2\cdot\text{radius}=2\cdot4=8\text{ inches}\)So the first statement is true (YES)
The second statement is about the area of the circle. The area of a circle is given by the following equation:
\(Area=\pi\cdot r^2\)If the radius of the circle is 4 inches, we have:
\(\text{Area}=\pi\cdot4^2=16\pi\)So the second statement is also true (YES)
The third statement is about the volume of a cylinder with a height of 6 inches and the circle A as the base. The volume of a cylinder is given by the equation:
\(\text{Volume}=\pi\cdot r^2\cdot h\)Using the radius = 4 inches and the height = 6 inches, we have:
\(\begin{gathered} \text{Volume}=\pi\cdot4^2\cdot6 \\ \text{Volume}=\pi\cdot16\cdot6=96\pi \end{gathered}\)The volume is not 64pi, so this statement is false (NO).
Kim spent $65 dollars on a new computer but she gave away $10 dollars to her friend Samantha.How many dollars does Kim have left to buy her new computer.
Answer:
Step-by-step explanation:Le quedo +10$
Ya que
-65 y le regalaron +10
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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PLS HELP!! WILL GIVE BRAINLIEST!!! >.<
Write one function for each house to describe the value of the house f(x), in dollars, after x years.
straightAnswer:
Step-by-step explanation:
The strategy would be to look for the equations of lines that passes for the points. it can be done but it's a hard work. I prefer to use a calc sheet . You can se that house 2 has a perfect fit to data because it has a \(R^2=1\), however house 1 does not have a perfect fit, \(r^2=0.99..\) altough it is a very good fit, in the image you can see the corresponding equations
What is the product?
(4x)(-3x^8)(-7x^3)
Answer:
84x¹²
Step-by-step explanation:
To simplify this expression, we work from left to right:
4x(-3x⁸)(-7x³)
Multiplying the coefficients of the first two, we have 4(-3) = -12. Using the laws of exponents, multiplying powers with the same base means we add the exponents; this gives us x(x⁸) = x¹⁺⁸ = x⁹. This gives us
-12x⁹(-7x³)
Multiplying the coefficients, we have -12(-7) = 84. Using the laws of exponents, for the variable we have x⁹(x³) = x⁹⁺³ = x¹²
This gives us
84x¹²
アhi can you please help me
Answer:
C) 1.
Step-by-step explanation:
Calculator
A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger.
A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger.
To find the cost per pound of hamburger, we need to divide the total cost by the weight in pounds.
For the 2-pound package
Cost per pound = Total cost / Weight in pounds
Cost per pound = $7.00 / 2 lbs
Cost per pound = $3.50 per pound
For the 3-pound package
Cost per pound = Total cost / Weight in pounds
Cost per pound = $10.50 / 3 lbs
Cost per pound = $3.50 per pound
Therefore, the cost per pound of hamburger is the same for both packages, at $3.50 per pound.
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COMPLETE THE SENTENCE: Two lines that do not intersect and are also not parallel are ___
lines.
Answer: skew
Step-by-step explanation:
Just did it
Select the correct answer. Which function represents the inverse function of the function f(x)=x^2 +5
Answer:
f^(-1)(x) = ±√(x - 5).
Step-by-step explanation:
Replace f(x) with y: y = x^2 + 5.
Swap the x and y variables: x = y^2 + 5.
Solve the equation for y. To do this, we'll rearrange the equation:
x - 5 = y^2.
Take the square root of both sides (considering both positive and negative square roots):
±√(x - 5) = y.
Swap y and x again to express the inverse function:
f^(-1)(x) = ±√(x - 5).
how to find x in a algebra problem
A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of alpha equals 0.05. correlation matrix: Variables Paper Glass Paper 1 0.1853 Glass 0.1853
Answer:
Because the absolute value of the test statistic is less than the positive critical value, there is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.
Step-by-step explanation:
The correlation matrix provided is:
Variables Paper Glass
Paper 1 0.1853
Glass 0.1853 1
Te hypothesis for the test is:
H₀: ρ = 0 vs. H₀: ρ ≠ 0
The test statistic is:
r = 0.1853 ≈ 0.185
As the alternate hypothesis does not specifies the direction of the test, the test is two tailed.
The critical value for the two-tailed test is:
\(r_{\alpha/2, (n-2)}=r_{0.05/2, (62-2)}=r_{0.05/2, 60}=0.250\)
The conclusion is:
Because the absolute value of the test statistic is less than the positive critical value, there is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.
Someone help again:/
Here are a few pairs of positive numbers whose sum is 34. (3 pts)
a. Find the product of each pair of numbers.
First
Number
1
4
8
14
Second
Number
33
30
26
20
b. Which pair of numbers that have a sum of 34 will produce the largest possible
product? What is that product?
Answer: 280
Step-by-step explanation:
The products of each pair of numbers are:
1 x 33 = 33
4 x 30 = 120
8 x 26 = 208
14 x 20 = 280
b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).
The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.
After a 35% reduction, you purchase a new bike for $282.75. What was the price of the bike before the reduction?
A) First write an equation you can use to answer this question. Use x as your variable and express any percents in decimal form in the equation.
B) Solve your equation in part [A] to find the original price of the bike.
The equation to represent this situation is given by 0.65x = 282.75 .
In the various mathematical formulas that are used, the equals sign is used to show that two expressions on either side of the equal sign are equal. The meaning of the word equation and its cognates might vary slightly depending on the language.
Finding the exact values of the unknown variables that result in the given equality is the very first step in the solving of a variable equation. The values of the unknown variables that fulfil the equality are the equation's solutions, also known as the variables for which the equation must be solved. There are two sorts of equations.
Le t the original cost of the bike be x dollars.
After 35% reduction the new cost is x - (35% of x) = 0.65 x
Therefore 0.65 x = 282.75
or, x = 435
Therefore the cost of the bike is $435.
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If IQ Scores are normally distributed with a mean of 100 and a standard deviation of 15. If you randomly selected a person
from Montana, what is the probability, rounded to the hundredth, that a person will have an IQ less than 79?
Remember to use the percent sign in this question
Answer:
8%
Step-by-step explanation:
P(X<79) = normalcdf(0,79,100,15) = 0.0807567112 ≈ 0.08 ≈ 8%
Therefore, the probability, rounded to the hundredth, that a person from Montana will have an IQ less than 79 is 0.08 or 8%
how do i solve 2/7v-1/7+14=20
Answer: 1: Combine multiplied terms into a single fraction
2: Multiply the numbers
3: Add the numbers
4: Solution
= 43/2
Step-by-step explanation:
Answer:
v = 43/2.
Step-by-step explanation:
2/7v - 1/7 + 14 = 20
2/7 v = 20 - 14 + 1/7
2/7 v = 6 1/7
2/7 v = 43/7
v = 43/7 / 2/7
v = 43/7 * 7/2
v = 43/2
Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is
%.
The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.
To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.
First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.
Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.
The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.
(3/10) * 100 = 0.3 * 100 = 30%
Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.
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