Answer:
6x + 7
Step-by-step explanation:
Given parameters:
Time Anna and Tamara leaves tonight = 10x - 2
Time Anna and Tamara leaves in the morning = 4x - 9
Unknown:
An algebraic expression that represents the difference in time between leaving at night and leaving in the morning = ?
Solution:
The algebraic expression is given as:
= (10x - 2) - (4x - 9)
= 10x -2 -4x + 9
= 10x -4x -2 + 9
= 6x + 7
The algebraic expression for the time difference is 6x + 7
A population is made up of r disjoint subgroups. Let Pi denote the proportion of the population that is in sub- group i,i = 1,...,7. If the average weight of the members of subgroup i is w;,i = 1, ...,r, what is the average weight of the members of the population?
The weighted average of the average weights of each individual subgroup, where the weights represent the population proportions in each subgroup, provides the average weight of the population's constituents.
This can be mathematically represented as: average population weight = _(i=1) r P i * w i, where P i is the population's share of subgroup I and w i is the weight of the subgroup's average members.
For instance, if the population is divided into three subgroups with proportions of P1 = 0.2, P2 = 0.5, and P3 = 0.3, and the subgroups' average weights are P1 = 150 lbs, P2 = 200 lbs, and P3 = 175 lbs, respectively, then the population's average weight is P1 * 150 lbs 180 lbs is equal to +0.5 * 200 lbs + 0.3 * 175 lbs.
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One apple costs .55 at the grocery store. Customers recieve one free apple for every 8 apples they buy
Answer:
Need more info
Step-by-step explanation:
What are we trying to figure out here?
P.S. I am not collecting the Brainly points, I will fix my answer once you fix the question! Thanks!
Find the distance around the figure by using the appropriate formula. Round approximate answers to the least accurate of the given measurements. (Assume a = 0.3 cm, b = 1.0 cm, c = 1.7 cm, d = 1.8 cm, e = 1.0 cm, and f = 3.6 cm.)
The distance around the given figure above which is its perimeter would be = 17.6cm.
How to calculate the distance around the given figure?The distance around the given figure can be calculated using the formula for perimeter= addition of all the sides of the shape which is made up of three different figures.
That is =
Figure 1 = a+a+d+d
= 0.3+0.3+1.8+1.8
= 4.2cm.
figure 2 = 3a + 3a + 2e
=6(0.3) + 1.0(2)
= 1.8+2 =2.8cm
figure 3 = 2c + 2f
= 2(1.7) + 2(3.6)
= 3.4 + 7.2 = 10.6cm.
Therefore the perimeter of the figure = 4.2+2.8+10.6 = 17.6cm.
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Mean, Median, Mode, Appropriate Measures, Standard
Deviation
Use this data set to answer all questions on this page.
513, 490, 496, 380, 490, 513, 503, 513, 500, 492
Question 1 Which of the following would be APPROPRIATE measure(s) of center. (1)Mean (2)Median (3) Mode. Question 2 Find the standard deviation. Round your answer to the tenths place(one decimal place)
Answer:
Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.
Question 2: To find the standard deviation, we first need to find the mean:
Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0
Next, we find the difference between each data point and the mean:
(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)
19, -4, 2, -114, -4, 19, 9, 19, 6, -2
Then we square each difference:
361, 16, 4, 12996, 16, 361, 81, 361, 36, 4
The sum of these squared differences is:
361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136
To find the variance, we divide the sum of squared differences by the number of data points minus one:
Variance = 14136 / 9 = 1570.7
Finally, we find the standard deviation by taking the square root of the variance:
Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)
Step-by-step explanation:
HELP ME WITH A MATH PROBKEM Type a number that has a value less than 4.7|
Answer:
i think
all the numbers between
0 to 4.6
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(-13) = 20 C. g(0) = 2 D. g(-4) = -11
The solution is g(-13) = 20 in accordance with the provided assertion.
How do we define range?The disparity between the greatest and lowest figures within a collection of integers is known as the range. Subtract the smallest from the biggest value in the group to determine range.
Let's examine each of the possible choices to see if they satisfy our requirements:
A. g(7) = -1
Our scope is constrained to the range [-20, 5], as stated at the outset of the issue. Since x = 7 falls outside of that range and is therefore not in the scope, the function g cannot accept it as an argument because it is false.
B. g(-13) = 20
In contrast to 7, -13 is in the range of g because it is between -20 and 5. Given that it lies between -5 and 45, 20 is also within g's range. B might apply to g. Now that we have our solution, let me also explain why the other two are untrue.
C. g(0) = 2
This is obviously untrue because g(0) = -2, which we know from the query.
D. g(-4) = -11
Since -11 is less than -5, it is outside of the range of g.
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if \(x\leq cy+D\), solve for y in terms of x, c and d? (c>0)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(x \leqslant cy + D\)
Subtract sides D
\(x - D \leqslant cy + D - D\)
\(x - D \leqslant cy\)
Divide sides by c
\( \frac{x - D }{c} \leqslant \frac{cy}{c} \\ \)
\( \frac{x -D}{c} \leqslant y \\ \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Are the two figures necessarily similar? Type "yes" or "no".
Two rhombuses =
Two circles =
Two isosceles triangles =
Two regular hexagons =
Answer:
Two rhombuses are not necessarily similar , No
Two circles are always similar , Yes
Two isosceles are similar , Yes
Two regular hexagons will be similar , Yes
The similar figures are Circle, Isosceles triangle and regular hexagons.
Geometric shapes are the figures which demonstrate the shape of the objects we see in our everyday life. In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. There are different types of 2d shapes and 3d shapes.
Two rhombuses are not necessarily similar: NoTwo circles are always similar: YesTwo isosceles are similar: YesTwo regular hexagons will be similar: YesTherefore the similar figures are Circle, Isosceles triangle and regular hexagons.
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All of the following are equivalent to 8/10 except _____16/20 , 4/5, 5/6, 40/50.
Answer:
5/6
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
All of the answers either increase or reduce to 8/10 except 5/6
Hope this helps! Please mark as brainliest answer if correct.
Stay safe, God bless, and happy studying!
What is the answers ?
Math Homework: Unit 3 Assignment
Help please I need this now
Answer:
A, C, and E
Step-by-step explanation:
\({ \tt{ \frac{4}{5} = 4 \times ( \frac{1}{5} )}} \\ \\ = { \tt{ \frac{1}{5} + \frac{3}{5} }}\)
= 1/5 + 1/5 + 2/5
= 1/5 + 1/5 + 1/5 + 1/5
Answer:
A , C , E represents 4/5
Step-by-step explanation:
A) \(\frac{1}{5} + \frac{3}{5} = \frac{4}{5}\)
B) \(\frac{1}{5} + \frac{1}{5} + \frac{1}{5} = \frac{3}{5}\)
C) \(\frac{1}{5} + \frac{1}{5} + \frac{2}{5} = \frac{4}{5}\)
D) \(\frac{1}{5} + \frac{2}{5} + \frac{2}{5} = 1\)
E) \(\frac{1}{5} + \frac{1}{5} + \frac{1}{5} +\frac{1}{5} = \frac{4}{5}\)
Pls help with question 4
Answer:
C.)
Step-by-step explanation:
For one month diera calculated her home towns average high temperature
The answer for this question is Celsius for Fahrenheit.
The Formula for Converting TemperatureTo convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.
(50°F - 32) x.5556 = 10°C, for instance.
When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.
For instance, (30°C x 1.8) + 32 = 86°F'
Here are two useful charts that translate between F and C as well as between C and F.
How to calculate her home towns average high temperature?The temperature of f degrees Fahrenheit converted to degree Celsius.
(( f)=5/9 (f-32)
represent the temperature of f degrees Fahrenheit converted to degree Celsius.
The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.
So that means if the temperature is in Fahrenheit it will be converted to Celsius.
So that means the C(F) represents the Celsius temperature.
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Complete Question -
For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?
Rob ran 6 2/3 miles and 4 11/16 on Sunday what is the total
Technically the answer would be. 11.3541666667
-18h=72
what is h?
help me please
Answer:
The answer to the equation -18h = 72 is h = -4.
Step-by-step explanation:
How can we solve this?To solve this question, we need to go through the steps of isolating the variable. Since most of them are done, the only one left is dividing.
-18h = 72
-18h/-18 = 72/-18
multiples of -18: -18, -36, -54, -72
-18 goes into 72 4 times. And, since the 18 is negative, the 4 is too.
So, the answer is h = -4.
\(\huge\text{Hey there!}\)
\(\mathsf{-18h = 72}\)
\(\large\text{DIVIDE }\rm{-18}\large\text{ to BOTH SIDES}\)
\(\mathsf{\dfrac{-18h}{-18} = \dfrac{72}{-18}}\)
\(\large\text{SIMPLIFY it}\)
\(\mathsf{h = \dfrac{72}{-18}}\)
\(\mathsf{h = -4}\)
\(\huge\text{Therefore your answer should be:}\)
\(\huge\boxed{\mathsf{h = -4}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Enter the correct answer in the box.
Replace the values of m and n to show the solutions of this equation.
X^2 + 6x-5=0
Answer:
x= -3 + \(\sqrt{14}\)
Step-by-step explanation:
Question is in the picture, please explain your answer with steps.
Solving a system of equations we can see that the washer costs $750, and the dryer costs $250.
How to find the costs?Let's define the variables:
x = cost of the washer.
y = cost of the dryer.
We know that the cost combined is $1000, then:
x + y = 1000
And the washer cost 3 times the cost of the dryer, then we will get:
x = 3y
So we have a system of equations, we can replace the second equation into the first one, so we will get:
3y + y = 1000
4y = 1000
y = 1000/4
y = 250
The cost of the washer is:
x = 3*250 = 750
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d D> 20 uestion 8 (1 point) 1. Which of the following represents a problem that could be solved using the inequality below?
35 + 12.50x > 500 .
Col has spent $35 on baseball cards. If he spends $12.50 on a set of baseball cards each teek, how many weeks will Cal have spent more than $500?
Wesseling baby bows. She charges $12.50 per bow and spends $35 on Supplues. How many bows will Mrs. Raleigh need to sell in order to earn at least $500? .
Both a and B can be solved using the inequality,
neither a nor b can be slowed using the inequality.
Neither A nor B can be solved using the inequality.
This is so because 35 + 12.50x> 500 implies the existence of a fixed amount (35) plus a variable amount (12.50) that multiplied by an unknown value (x) must be greater than 500.
Thus, as neither of the two options speaks of a fixed amount that is added to a variable amount, neither of the two options is correct.
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In ΔQRS, s = 4.2 cm, m∠R=160° and m∠S=8°. Find the length of r, to the nearest 10th of a centimeter.
Answer:
10.3 cm
Step-by-step explanation:
You want the measure of side 'r' in triangle QRS, given s = 4.2 cm, R = 160°, and S = 8°.
Law of sinesThe law of sines tells you side lengths are proportional to the sine of the opposite angle.
r/sin(R) = s/sin(S)
r = s×sin(R)/sin(S) = (4.2 cm)sin(160°)/sin(8°)
r ≈ 10.3 cm
<95141404393>
Pls HELP I BEG YOUUUU
Answer:
x = 60
Step-by-step explanation:
(x+22) + (x+6) + (x-28) = 180
x + 22 + x + 6 + x - 28 = 180
x + x + x + 22 + 6 - 28 = 180
3x = 180
x = 180/3
x = 60
Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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whats the answer can someone answer please
Answer:
21. 2x + 28
22. 18a - 17b
23. He flipped the numerator and denominator, 6.4 with 7.2 and he added the exponents instead of subtracting.
24. 8.8888888888889 × 10^{0}
Step-by-step explanation:
n+3 +n for n = 6 Can you help
Answer:
15
Step-by-step explanation:
If I am not mistaken, since n is 6 you would replace n with 6 so it would be 6+3+6= 15.
I hope this helps :)
Point D is located on the segment CE. If CD = 24 and DE = x and CE = 5x, what is the measurement of segment CE
Answer:
30
Step-by-step explanation:
If point D is located on the segment CE, then point C, D and E lies on the same line i.e they are collinear. Mathematically, CD+DE = CE
Given CD = 24 and DE = x and CE = 5x, on substituting this values in the equation we have;
Since CE = 5x, CE = 5(6) = 30
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 1 unit wide. 5 7
The area of the Shaded region, when the frame is 1 unit wide, is 20 square units.
The area of the shaded region when one rectangle is framed within another and the frame has a width of 1 unit, we need to calculate the difference between the areas of the outer rectangle and the inner rectangle.
the dimensions of the outer rectangle as length and width, and the dimensions of the inner rectangle as length' and width'. Based on the information provided, the length and width of the outer rectangle are 5 and 7 units, respectively.
The dimensions of the inner rectangle can be found by subtracting twice the width of the frame (1 unit) from the dimensions of the outer rectangle:
Length' = length - 2 * frame width = 5 - 2 * 1 = 3 units
Width' = width - 2 * frame width = 7 - 2 * 1 = 5 units
Now we can calculate the areas of the outer and inner rectangles:
Area of the outer rectangle = length * width = 5 * 7 = 35 square units
Area of the inner rectangle = length' * width' = 3 * 5 = 15 square units
Finally, to find the area of the shaded region, we subtract the area of the inner rectangle from the area of the outer rectangle:
Area of shaded region = Area of outer rectangle - Area of inner rectangle = 35 - 15 = 20 square units
Therefore, the area of the shaded region, when the frame is 1 unit wide, is 20 square units.
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Question 10 (1 point)
A
33
7 in.
B
C
The value of AB is,
⇒ AB = 5.9
(rounded to nearest tenth)
We have to given that,
A right triangle ABC is shown.
Now, By trigonometry formula,
we get;
⇒ cos 33° = Base / Hypotenuse
Substitute all the values, we get;
⇒ cos 33° = AB / 7
⇒ 0.84 = AB / 7
⇒ AB = 0.84 × 7
⇒ AB = 5.88
⇒ AB = 5.9
(rounded to nearest tenth)
Thus, We get;
AB = 5.9
(rounded to nearest tenth)
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Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent.
The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3
To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:
Since for all x > 0, we have:
Thus, by the limit comparison test:
converges if and only if converges.
We can evaluate using the power rule of integration:
where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:
∫(1/x^4) dx from 1 to infinity = lim as b → infinity
=>
=> 0 - (-1/3)
=> 1/3
Since the integral dx converges by comparison to a convergent integral, and its value is 1/3.
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Note: The full question is
Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1
We found the correlation coefficient for the comparison between height and weight in babies to be -0.12. That means
correlation is strong
the taller the baby, the heavier the baby
the taller the baby, the lighter the baby
Height and weight of babies are independent
The Correlation Coefficient -0.12 shows that The taller the baby, the lighter the baby.
What is Correlation Coefficient?A statistical measure called correlation shows how much two or more variables fluctuate in connection to one another.
A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together.
Given:
Correlation Coefficient = -0.12
As, The range of a correlation coefficient ranges from -1 to 1.
When the number is closer to -1 or closer to 1, there is a substantial association, and when the number is closer to 0, there is no link.
The correlation coefficient in this instance is -0.12, indicating a marginally negative correlation. The negative sign indicates that when one component changes, the other decreases, making a baby that is taller and lighter.
Hence, The taller the baby, the lighter the baby.
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