Answer:
35000
Step-by-step explanation:
So the number is 34582
now look at the hundreds
if it is 5 or over then we add a thousand to and subtract what ever the lower than thosand
and in this case it is 5 so we round UP
and now we have 35000
The answer is 35,000.
To round to the nearest thousand, we look at the last three digits. If these digits are 500 or greater, then we round the thousands digit up, and if they are less than 500, then we round down, keeping the thousand's digit the same.
Since in this case the last three digit consists of 582 which is greater than 500 so we round the thousands digit up i.e. from 4 to 5 in this case.
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the gmat scores of all examinees who took that test this year produced a distribution that is approximately normal with a mean of 410 and a standard deviation of 33. the probability that the score of a randomly selected examinee is less than 370, rounded to three decimal places, is:
The probability that the score of a randomly selected examinee is less than 370 is 0.113
Mean of the gmat score = 410
Standard deviation of the deviation = 33
The randomly selected examinee be X ,
Thus X = 370
So , we need to find the probability that the score of a randomly selected examinee is less than 370 i.e.
P(X < 370)
Now , let us the z-score with normal distribution formula
Z = (X - μ) / σ
Z = (370 - 410) / 33
Z = -40 / 33
Z = -1.21
Thus P(X < 370) = P(Z < -1.21)
From the z - table , we can get that
P(Z < -1.21) = 0.11314
By rounding off to three decimals ,
P(Z < -1.21) = 0.113
Therefore , the probability of Z< -1.21 is 0.113
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Finding the final amount in a word problem on compound interest
Remember that the formula to calculate the total amount in an account with compoud interest is:
[tex]P(1+r)^n[/tex]Where:
• P, is the principal (amount incially invested)
,• r ,is the rate of interest
,• n, is the times that the interest is compounded
Using this and the data given we'll get:
[tex]2000(1+\frac{4.8}{100})^9=3049.87[/tex]Thereby, we can conclude that the accounts balance after 9 years is $3,049.87
If a train runs on a circular track of radius 400 meters through all four sections of the park, about how long is the part of the train track that runs through Water World?
The arc length is given by:
[tex]s=2\pi r(\frac{\theta}{360})[/tex]In this case the radius is 400 m and the angle is 36°, plugging these values we have:
[tex]\begin{gathered} s=2\pi(400)(\frac{36}{360}) \\ s=251.33 \end{gathered}[/tex]Therefore, the part of the train track that runs through water world is approximately 250 meters.
in serious need of help! i need the answer quick!
The coordinates of G is (d+c, b)
This is because the opposite sides of any parallelogram are equal in length, and so the length of side HG is equal to the length of side EF.
a) The length of side HG is equal to the horizontal distance (x2 - x1): xG - 0
The length of side EF is equal to the horizontal distance (x2 - x1): d - (-c) = d +c
Thus:
xG - 0 = d + c
xG = d + c
Therefore the x-coordinate of G is d + c
b) To find the y-coordinate of G, we also apply the idea that sides GF and HE are equal.
The length of side GF is equal to the vertical distance (y2 - y1): yG - 0
The length of side HE is equal to the vertical distance (y2 - y1): b - 0
Thus:
yG - 0 = b -0
yG = b
Therefore the y-coordinate of G is b
Finally, the coordinates of G is (xG, yG) = (d+c, b)
Determine whether a triangle can have the following sides with the given lengths
For the length to be sides of a triangle, the sum of any two sides triangle must be greater than third side.
[tex]\begin{gathered} 19+5>15 \\ 24>15 \end{gathered}[/tex]Condition is true.
[tex]\begin{gathered} 15+5>19 \\ 20>19 \end{gathered}[/tex]Condition is true.
[tex]\begin{gathered} 19+15>5 \\ 34>5 \end{gathered}[/tex]Condition is true.
The triangle inequality satisfied for the triangle. So length belongs to a side of triangle.
Answer: yes
kid had 10 apples and he gic
Answer:
The meal cost $14.51 per person.
Step by step explanation:
Meal cost: 46.72
Sales tax: 8%
Then.
then we take out 8% of the value
[tex]46.72\text{ x 0.08 =3.74}[/tex][tex]46.72+3.74\text{ = 50.46}[/tex]Tip : 15% (meal and sales tax)
[tex]50.46\text{ x 0.15 = 7.57}[/tex][tex]50.46\text{ + 7.57 = 58.03}[/tex]There are 4 people.
[tex]\frac{58.03}{4}=14.51[/tex]a bag contains 275 marbles. some are red and the rest are black. there are 24 red marbles for every black marble. how many red marbles are in the bag?
There are 264 red marbles in a bag.
What is Marbles?
A marble is a tiny, sphere-shaped object that is frequently fashioned of agate, glass, clay, steel, or plastic. They come in a variety of sizes, but the most have a diameter of about 13 mm (12 in). These toys can be made into works of art or utilized in a variety of marble-based activities. They can also be used in races or runs. They are frequently collected for their pleasing colors and nostalgic appeal.
Let x = Number of red marbles
y = Number of black marbles.
A bag contains 275 marbles.
So, x + y = 275 ..(1)
There are 24 red marbles for every black marble.
x = 24y ..(2)
Plug value of x in equation (1).
24y + y = 275
25y = 275
y = 11
Put y = 11 in equation (2),
x = 24(11)
x = 264
Hence, there are 264 red marbles in the bag.
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SOS I NEED HELP ASAP I MEED IT NOW
Answer: do c to my very ecucated guess bc c is always right
Step-by-step explanation:
Step-by-step explanation:
. n+(t+2) = n +(2+t) is an example of which property? |n+ (t+2)=n+(2+t) ¿es un ejemplo de esta propiedad?
Answer:
The equation is an example of the associative property of addition.
Step-by-step explanation:
Associative property of addition: changing the grouping of addends does not change the sum.
For example: A+(B+C) = (A+B)+C.
Can anyone do these
Answer: 1. Complementary
2. Supplementary
3. 116
4. 17
5. A- 28 B-152 C-118
I need this answered please
Answer:
240 copies of the standard version.
Step-by-step explanation:
See attached worksheet.
Bonus: Since 240 standard copies were downloaded, we know that 3 times that number is the number of high quality versions downloaded.
Copies Size(MB) Total MB
Standard 240 2.6 624
High 720 4.4 3168
Total (MB) 3792 {This matches the data]
Find the derivatives of the following using increment method.1.y = 6x² +10x - 3
Given
[tex]y=6x²+10x-3[/tex]Find
derivatives using increment method.
Explanation
Given
[tex]y=6x²+10x-3[/tex]replace x and y by
[tex]\begin{gathered} x+\Delta x \\ y+\Delta y \end{gathered}[/tex]so ,
[tex]\begin{gathered} y+\Delta y-y=6(x+\Delta x)^2+10(x+\Delta x)-3-(6x^2+10x-3) \\ \Delta y=6x^2+6\Delta^2x^2+12\Delta x^2+10x+10\Delta x-3-6x^2-10x+3 \\ \Delta y=12\Delta x^2+6\Delta^2x^2+10\Delta x \\ \end{gathered}[/tex]now divide by
[tex]\Delta x[/tex]so ,
[tex]\begin{gathered} y^{\prime}=\frac{12\Delta x^2+10\Delta x+6\Delta^2x^2}{\Delta x} \\ \\ y^{\prime}=12x+10+6\Delta x \end{gathered}[/tex]now taking limit
[tex]\begin{gathered} \lim_{\Delta x\to0}y^{\prime}=\lim_{\Delta x\to0}(12x+10+6\Delta x) \\ \\ y^{\prime}=12x+10 \end{gathered}[/tex]Final Answer
Therefore , the derivative of the function using increment method is 12x + 10
Which expressions are equivalent to 46 ?Choose all answers that apply:A6 + 2(b + 26)B36 +62(26)
hello
to solve this question, we just have to find the expression that is equal to 4b
option A
[tex]b+2(b+2b)=b+2b+4b=7b[/tex]option a is incorrect
let's look at option B
[tex]3b+b=4b[/tex]option B is correct
and finally option C
[tex]2(2b)=4b[/tex]option C is correct
from the calculations above, option B and C are the right answers
Given m||n, find the value of x.
(6x-20)°
(6x-4)°
Answer:
x = 7
Step-by-step explanation:
solve the following problems by writing a proportion. a) what is 70% of 4b) 5 is what percent of 20?
We have in a) that
[tex]\begin{gathered} 70\cdot\text{ }\frac{4}{100}\text{ = }\frac{\text{70 }\cdot\text{ 4}}{100} \\ =\text{ 2.8} \end{gathered}[/tex]So the answer for a) is 2.8
Now in b) we have that
[tex]5\cdot\text{ }\frac{100}{20}\text{ = 25}[/tex]So the answer for b) is 25%.
The relationship between time and the number of laps is not proportional across all swimmers. which two swimmers swam at the same rate (had time and laps in the same proportion)?
Answer: Undefined
Step-by-step explanation:
There is not enough information to complete the task.
Answer:
Jonathan and Seth
Step-by-step explanation:
multiple the laps by 2 youll get the minutes
The difference between 75% of a number and 20% of the same number is 378.4 what is 40% of that number?
Answer:
40% of the number is 275.2.
Step-by-step explanation:
I am going to call the number x.
75% of the number: 0.75x
20% of the same number: 0.2x
The difference between 75% of a number and 20% of the same number is 378.4:
This means that:
0.75x - 0.2x = 378.4
0.55x = 378.4
x = 378.4/0.55
x = 688
40% of the number:
0.4*688 = 275.2
40% of the number is 275.2.
Please solve with an explanation
Answer:
10.8
Step-by-step explanation:
Hello!
Once, graphed, a right triangle forms, with PQ as the hypotenuse. The other two lengths are 6 and 9.
We can use the Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex]
a and b are lengthsc is the hypotenuseSolve for PQ[tex]a^2 + b^2 = c^2[/tex][tex]6^2 + 9^2 = PQ^2[/tex][tex]36 + 81 = PQ^2[/tex][tex]117 = PQ^2[/tex][tex]\sqrt117 = PQ\\[/tex]10.8 = PQThe length of PQ is 10.8.
Hi Can someone help this is hard?
The domain is the set of all real numbers and the range is the set of all real numbers larger than -4, so the correct option is the third one.
How to get the domain and the range?For a function y = f(x) we define the domain as the set of the x-values (horizontal axis) and the range as the set of the y-values (vertical axis).
Here we have a parabola, in this case the domain is always the set of all real numbers, and the range is all the values above or equal to the vertex (in cases like this, where the parabola opens up).
We can see that the vertex is at y = -4
So the range is.
[-4, ∞]
So the correct option is 3.
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Determine the number of terms in the arithmetic sequence below:-70, -69, -68, ..., 37, 38, 39, 40
Number of terms of sequence N
Difference D = -1
Then there are here
In negative part, 70 numbers
In positive x line, 40 numbers
And add also zero
Then, ANSWER IS
N= 70 + 40 + 1
. = 111
There are 111 numbers
I don´t quite understand this Question 5% of 40
Answer:
5% of 40 = 20
Step-by-step explanation:
To find 5% of 40, you can turn the 5% to 0.5, and the "of" means multiplication.
So, in turn you would have:
0.5 x 40 = 20
P.L.Z HELP. 50pts
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Slope-intercept form: y=-2/3=x+490 The slop is -2/3 and the y-intercept is unknown.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
Answer:
[tex]y=-\dfrac{2}{3}x+490[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]
Given equation:
[tex]2x + 3y = 1470[/tex]
To change the equation to slope-intercept form, isolate y:
[tex]\implies 2x + 3y -2x=1470 -2x[/tex]
[tex]\implies 3y=-2x+1470[/tex]
[tex]\implies \dfrac{3y}{3}=\dfrac{-2x+1470}{3}[/tex]
[tex]\implies y=-\dfrac{2}{3}x+\dfrac{1470}{3}[/tex]
[tex]\implies y=-\dfrac{2}{3}x+490[/tex]
Therefore:
[tex]\textsf{Slope} =-\dfrac{2}{3}[/tex][tex]\textsf{$y$-intercept}=490[/tex]To graph this line with the slope-intercept method:
Plot the y-intercept at (0, 490).The slope gives us the change in y-values over the change in x-values (rise over run). Therefore, use the slope to plot the next few points by mapping 3 units to the right and 2 units down each time:To write the equation in function notation, replace the y-variable for f(x).
[tex]\implies f(x)=-\dfrac{2}{3}x+490[/tex]
The graph of the function represents:
The number of wrap lunch specials sold given the number of sandwich lunch specials sold.The y-intercept of the graph is (0, 490).
To find the x-intercept, set the function to zero and solve for x:
[tex]\implies -\dfrac{2}{3}x+490=0[/tex]
[tex]\implies -\dfrac{2}{3}x=-490[/tex]
[tex]\implies -2x=-1470[/tex]
[tex]\implies x=735[/tex]
Therefore, the x-intercept is (735, 0).
The graph of the function is attached.
If Sal's total profit on lunch specials for the next month is $1,593 (where the profit amounts are the same) the equation would be 2x + 3y = 1593 and the function would be:
[tex]g(x)= -\dfrac{2}{3}x+531[/tex]
As the coefficient of the x-variable has not changed, the slopes of the two functions are the same.
As the total profit has changed, the intercepts are different.
The y-intercept of the first function is (0, 490) and its x-intercept is (735, 0). Whereas the y-intercept of the second function is (0, 531) and its x-intercept is (796.5, 0).
Complete the following statement. Round your answer to the nearest percent
% of $700 = $1,400
Answer:
50
Step-by-step explanation:
Solution for 700 is what percent of 1400:
700:1400*100 =
(700*100):1400 =
70000:1400 = 50
Now we have: 700 is what percent of 1400 = 50
Which of the following service providers may use credit reports and/or credit scores to decide whether a person can buy a service and/or what price he or she will pay?Group of answer choicesLandlordMortgage lenderCell phone companyAll of the aboveCredit card issuer
Answer:
All of the above
Explanation:
All the given options make use of credit scores and/or credit reports to decide whether a person can buy a service and/or to decide what price he or she will pay. landlords may use credit scores to decide if they will require a security deposit and, if so, how much it should be. Also, other service providers like Mortgage lender, Cell phone company and Credit card issuer makes use of credit scores and/or credit reports in making certain decisions.
question : below pictureis attached
Answer:
the value of 2/3 ^-2 is 18
oncerns about climate change and co2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). random samples of 47 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) if the true mean is .9340 with a standard deviation of 0.0030, within what interval will 98 percent of the sample means fall? (round your answers to 4 decimal places.)
The interval is from 0.9330 to 0.9350
For given condition;
mean = 0.9340
standard deviation = 0.0030
z-score at 98% = 2.33
n = size of sample = 47
Step 1: calculate the standard error of the mean
standard error of mean = z-score * standard deviation/sqrt(n)
= 2.33 * 0.0030/[tex]\sqrt{47}[/tex]
= 0.0010
step 2: upper limit = mean + standard error
= 0.9340 + 0.0010
= 0.9350
lower limit = mean - standard error
= 0.9340 - 0.0010
= 0.9330
Hence, the interval is from 0.9330 to 0.9350
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How can the rate of a reaction be decreased?
O adding a catalyst
O lowering the temperature
O increasing the amount of reactants
O having more surface area
The sum of three consecutive even integers is 20 less than four times the
first. What are the integers?
The most appropriate choice for linear equation will be given by -
The integers are 26, 28, 30
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here,
Let the integers be x - 2, x, x + 2
Sum = x - 2 + x + x + 2 = 3x
20 less than Four times the first = 4(x - 2) - 20
By the problem,
[tex]3x = 4(x - 2) -20\\3x = 4x - 8 -20\\4x - 3x = 28\\x = 28[/tex]
The integers are 28 - 2, 28, 28 + 2
The integers are 26, 28, 30
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3^8 x 3^4 divide 3^2 x 3^8
⇒I will be using the laws of exponents. As indicated below :
⇒[tex]x^{n} *x^{m} \\=x^{n+m}[/tex]
This just simply means that if you are multiplying powers of the same base you keep one base as a result and add the exponents.
⇒ The other law of exponents is indicated below:
⇒[tex]x^{n} /x^{m} \\=x^{n-m}[/tex]
This means that if you are dividing powers of the same base you keep one base and subtract the exponents.
N.B : BODMAS RULES ALSO APPLY
[tex]\frac{(3^{8} *3^{4} )}{(3^{2}*3^{8} ) } \\=\frac{3^{8+4} }{3^{2+8} } \\=\frac{3^{12} }{3^{10} } \\=3^{12-10} \\=3^{2} \\=9[/tex]
Attached is your solution. Goodluck!!
If -8x-y=-9 is a true equation, what would be the value of -8x-y+3
