627 x 26 equals 16,302 when solved using the standard algorithm.
The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:
627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.
Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.
1254 -- a 6 x 7 partial product
1254 -- a half 6 x 2 product
Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.
1254 x 627
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Researchers in New Zealand interviewed 907 drivers at age 21. They had data on traffic accidents and they asked their subjects about marijuana use. Here are data on the numbers of accidents caused by these drivers at age 19, broken down by marijuana use at the same age:
Marijuana Use per year
1-10 11-50 51+
Never times times times
Drivers 452 229 70 156
Accidents caused 59 36 15 50
Required:
a. Explain carefully why a useful graph must compare rates (accidents per driver) rather than counts of accidents in the four marijuana use classes.
b. Compute the accident rates in the four marijuana use classes. After you have done this, make a graph that displays the accident rate for each class. What do you conclude? (You can’t conclude that marijuana use causes accidents, because risk takers are more likely both to drive aggressively and to use marijuana.)
Answer:
a)
Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation
b) attached below
Step-by-step explanation:
A) A useful graph is must compare rates rather than counts of accidents in the four marijuana use classes
Using the rates on a graph is better for reference like saying; that 50 crashes were caused by those who smoke 51+ times and 59 crashes is caused by those who never smoke this statistics makes it seem like smoking has no effect on the amount of accidents
Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation
B) accident rate for Non-smokers
= (59/452) * 100 = 13.05
accident rate for smokers between 1-10 times
= ( 36/ 229 ) * 100 = 15.72
accidents rate for smokers between 11 - 50 times
= ( 15/50 ) * 100 = 21.42
accidents rate for smokers 51+
= ( 50 / 156 ) * 100 = 32.05
attached below is the required graph
The distance on a map between two locations is 2.25 inches. If = 24 miles, what the actual distance between the two locations?
A. 54 Miles
B. 48 Miles
C.26.25 miles
D.10.67 Miles
The solution is Option A.
The distance between the two locations is 54 miles
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the two locations be A and B
The distance on a map between two locations A and B is = 2.25 inches
It is given that 1 inch = 24 miles
So , the equation will be
The distance between two locations in miles =
distance on a map between two locations x 24
And , the equation is
The distance between two locations in miles = 2.25 x 24 miles
= 54 miles
Therefore , the distance is 54 miles
Hence , The distance between the two locations is 54 miles
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10) Elena cycled to school. Find the distance travelled by Elena if her bicycle
wheels rotated 840 times and the radius is 0.25 m. (Round to nearest tenth.)
The distance travelled by Elena while cycling to school is 1320.0 m
How to find the distance travelled to schoolThe distance travelled by Elena to school is equal to circumference of the wheel multiplied by the number of times
circumference of the wheel is calculated using the formula
circumference of the wheel = 2 * pi * r
substituting the values in to the formula
circumference of the wheel = 2 * 22/7 * 0.25
circumference of the wheel = 1.5714 m
distance travelled is calculated by the circumference of the wheel times number of times the wheel rotated
distance travelled = 1.5714 * 840
distance travelled = 1319.976
distance travelled = 1320.0 (Round to nearest tenth)
The distance travelled is 1320.0 m
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. Each giraffe at a zoo eats 100 pounds of hay and 9 pounds of fruits and vegetables every
day. How many pounds of food does the zoo need to feed 1 giraffe for 1 week? Use mental
math to solve.
Plsss help
Answer:
500
Step-by-step explanation:
I have been there to talk about the whole day and let you want it or you want it
please answer! will give brainliest!!!
Answer:
The answer is the last one
Milo is working on a wall mural using geometric shapes. The mural includes parallelograms and rectangles like the ones below.
Opposite sides are parallel.
Opposite sides are congruent.
Opposite angles are congruent.
Opposite angles are right angles.
Answer:
Opposite angles are right angles.
Step-by-step explanation:
Please help me thank you
Answer:
graph y = 2/5 x - 3
shade everything bellow the line
Step-by-step explanation:
y <= 2/5 x - 3
graph y = 2/5 x - 3
shade everything bellow the line
Find the missing side of the triangle.
11 yd
10 yd
Answer:
Step-by-step explanation:
a^2+b^2=c^2
assuming that 11 and 10 are the shorter sides of the triangle
11^2+10^2=c^2
121+100=c^2
221=c^2
\(\sqrt{221}=\sqrt{c^2}\)
this will equal 14.87 approximately
The missing side of the triangle is √221 yd .
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Let recall the Pythagorean theorem formula:
a² + b² = c²
Replacing by the values we have;
11² + 10² = c²
c² = 121 + 100
c² = 221
c = √221 yd
Therefore, the correct answer is √221 yd .
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Isabel owns a T-shirt cart and has a contract with a local sports arena to distribute T-
shirts outside the venue. Isabel is paid a flat rate of $235 and a variable rate per T-
shirt. The following table represents the total amount of money Isabel makes. Let X
denote the number of T-shirts that Isabel sells and let y denote the amount of money
that Isabel makes. What is the estimated amount of money that Isabel makes if she
sells six T-shirts?
T-shirts
o
1
2
3
4
Money
$235
$250
$267
$286
$307
Answer:
in just going to say 90
Step-by-step explanation:
tell me if i got it right or wrong no hate
help pls mwah <3 i also give brainliest
Answer:
i think it is 0.7 correct me if i am wrong i am in the 6th grade
Step-by-step explanation:
Answer:
y=3/4x
Step-by-step explanation:
From the origin (0,0) count the rise to the next point (3) and then the run (4) leaving you with 3/4 as your slope.
Hope that helps
PLEASE HELP ME FIND THE SIDE OF THE SQUARE
Answer: 6 inches
Step-by-step explanation:
Side length = 6 in.
Diagonal = 6\(\sqrt{2}\) = 8.49 rounded
Perimeter = 24 in
Area = 36 in²
Find an equation of a line in a point-slope form passing through the points (2,4) and (3,6) . Then write the answer in a slope-intercept form. Then write the answer in standard form. Graph the line on cartesian plane and upload the image. Show your work (the steps)!
The equation of the line in point-slope form, slope-intercept form and standard form is y - 4 = 2( x - 2 ), y = 2x and 2x - y = 0 respectively.
What is the equation of line passing through the points (2,4) and (3,6)?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given that the line passes through points (2,4) and (3,6).
First, we determine the slope:
\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{6 - 4}{3-2} \\\\Slope\ m = \frac{2}{1} \\\\Slope\ m = 2\)
Now, plug the slope m = 2 and point (2,4) into the point-slope form:
( y - y₁ ) = m( x - x₁ )
y - 4 = 2( x - 2 )
Solve in slope-intercept form:
y - 4 = 2( x - 2 )
y - 4 = 2x - 4
y = 2x - 4 + 4
y = 2x
Solve in standard form:
Ax + Bx = C
y - y = 2x - y
0 = 2x - y
Reorder:
2x - y = 0
Therefore, the standard form is 2x - y = 0.
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Accountants often use the median when studying salaries for various businesses. What is the median of the following salary list: $32,023, $21,983, $27,596, 543,795, $38,860, $25.997?The median is $
Given:
Given the data set:
21983, 25997, 27596, 32023, 38860, 543795
Required: Median
Explanation:
The median is the middle number in a sorted list of numbers. So, to find the median, arrange the data in ascending (or descending) order and find the middle number.
Ordering the data from least to greatest.
21983, 25997, 27596, 32023, 38860, 543795
There are two middle numbers, 27596 and 32023. So, the median is the average of these numbers.
\(\text{ Median}=\frac{27596+32023}{2}=29809.5\)Final Answer: The median of the given data set is 29809.5.
state , giving reasons, which of the following if meaningless:
a. (-12, 0 ]
b. ( 1, -13 ]
Both of the intervals given are meaningful intervals in mathematics, but they are different types of intervals.Therefore, the interval (1, -13] is meaningless because it does not contain any real numbers.
What is intervals?An interval is a number or range of values between two endpoints.
The endpoints can be included or excluded from the interval, and the interval can be open, closed, or half-open depending on whether the endpoints are included or excluded.
The interval (-12, 0] is a closed interval, which includes the endpoint 0, and all real numbers between -12 and 0.
The square bracket indicates that the endpoint 0 is included in the interval.
The interval (1, -13] is an empty interval, which includes no real numbers, since there is no number that is greater than 1 and less than or equal to -13. This interval is meaningless because it does not contain any numbers.
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is lebron james black
Answer:
yes he is a african american
Step-by-step explanation:
Hi, can you please help me verify my solutions to parts C and D? I got E = 40 for part C, and M = 4.8 for part D. Thanks!
Given:
Weight on Mars = 40 pounds
Weight on Earth = 100 pounds
Weight on Mars directly varies with the weight on Earth.
Solution:
First, we need to determine the constant k to solve for parts C and D.
M = kE
40 = k*100
40/100 = (k*100)/100
k = 0.40
Now that we have the constant, we will proceed with parts C and D.
Part C.
M = 16 pounds
E = ?
Let's use the formula above M = kE where k = 0.40.
M = kE
16 = 0.4*E
16/0.4 = (0.4*E)/0.4
E = 40 pounds
Part D.
M = ?
E = 12 pounds
Let's use the formula above M = kE where k = 0.40.
M = kE
M = 0.4*12
M = 4.8 pounds
ANSWER: E = 40 pounds. M = 4.8 pounds
i need help!!!! does anyone know this..!!???
The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.
How to determine the period of the frequency factor b given above?The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.
The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.
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need help solving this problem
Answer:
x ≈ 2.7
Step-by-step explanation:
Using the sine ratio in the right triangle
sin17° = \(\frac{opposite}{hypotenuse}\) = \(\frac{NO}{MO}\) = \(\frac{x}{9.3}\) ( multiply both sides by 9.3 )
9.3 × sin17° = x , then
x ≈ 2.7 ( to the nearest tenth )
2 1/4 x 1 2/3
PLEASE HELP
Answer:
3.75
Step-by-step:
Lynnette can wash 95 cars in 5 days. How many xars does she wash each day
Answer:
19 cars
Step-by-step explanation:
Answer:
19 cars
Step-by-step explanation:
because 95 divdide by 5 is 19
Which variable will you choose to eliminate? How? -3x -8y=-24 and
3x - 5y= 45
Answer:
Lets choose y
-8y=3x-24y=-3/8x+3Plug in
3x+15/8x-15=45 39/8x= 60 x=480/39Answer:
I'll choose 'x' variable first to eliminate because -
-3 (coefficient of 'x' in Eqn.1) & 3 (coefficient of 'x' in Eqn.2) are additive inverses of each other , so they can be easily eliminated by simply adding those equations. It can be also solved by using elimination method but you'll need to multiply -1 with either Eqn.1 or Eqn.2 because in elimination method , a variable can be eliminated only when their coefficients are numerically equal (along with their sign).Step-by-step explanation:
Eqn.1 → -3x - 8y = -24
Eqn.2 → 3x - 5y = 45
If we'll add both the equations , then '3x' would be getting cancelled first.
⇒ \((-3x - 8y) + (3x - 5y) = (-24) + (45)\)
⇒ \(3x - 3x - 8y - 5y = 45 - 24\)
⇒ \(-13y = 21\)
⇒ \(y = \frac{-21}{13}\)
Putting the value of y in eqn.2 ,
⇒ \(3x - 5(\frac{-21}{13}) = 45\)
⇒ \(3x + \frac{105}{13} = 45\)
⇒ \(3x = 45 - \frac{105}{13}\)
⇒ \(3x = \frac{585 - 105}{13} = \frac{480}{13}\)
⇒ \(x = \frac{480}{13 \times 3} = \frac{480}{39}\)
Reducing the fraction gives ,
⇒ \(x = \frac{160}{13}\)
If annual interest rate is 8.25% on 90,900.00 What is my interest for 1/2 a month. It's for 8 years.
To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:
Total number of months = 8 years x 12 months/year = 96 months
Next, we can calculate the interest for half a month:
Interest = Principal x Rate x Time
Where:
- Principal = $90,900.00
- Rate = 8.25% (annual interest rate)
- Time = 0.5/12 years (half a month, expressed in years)
Rate needs to be converted to a monthly rate, so we divide it by 12:
Rate = 8.25% / 12 = 0.6875% (monthly interest rate)
Time needs to be expressed in years, so we divide it by 12:
Time = 0.5/12 years
Now we can calculate the interest:
Interest = $90,900.00 x 0.006875 x 0.0416667
Interest = $25.08 (rounded to the nearest cent)
Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.
Answer:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64
Step-by-step explanation:
Make a plan:
Monthly Interest Rate: 8.25% / 12 = 0.006875Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64Solve the problem:The monthly Interest Rate is 8.25% / 12 = 0.006875 (Ground Truth)Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875 (ground truth).Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64 (ground truth).Draw the conclusion:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64Hope this helps!
7 students are running for student council. how many different ways can their names be listed on the ballot
Step-by-step explanation:
7! = 5040 ways
Enter the value of p so that the expression 4 (n+8) is equivalent to (n+p)4
Can someone answer this question?
The second one is the answer just think of symmetry and if its symmetrical or not.
Answer:
The answer is A
Step-by-step explanation:
Odd symmetry is like the opposite of one side
help pls
What is the average rate of change of the function on the interval from x = 3 to x = 5?
f(x)=10(2)x
Answer: 1560
Step-by-step explanation: The average rate of change of a function over an interval is the total change in the value of the function divided by the length of the interval. In this case, the function is f(x) = 10(2)^x and the interval is [3, 5].
To find the average rate of change of the function over the interval, we can first evaluate the function at the two endpoints of the interval, which are x = 3 and x = 5. At x = 3, the function has a value of f(3) = 10(2)^3 = 80. At x = 5, the function has a value of f(5) = 10(2)^5 = 3200.
The total change in the value of the function over the interval is then the difference between the values at the two endpoints, which is f(5) - f(3) = 3200 - 80 = 3120.
The length of the interval is 5 - 3 = 2, since it goes from x = 3 to x = 5. Therefore, the average rate of change of the function over the interval is the total change in the value of the function divided by the length of the interval, which is (3120) / 2 = 1560.
Therefore, the average rate of change of the function f(x) = 10(2)^x on the interval [3, 5] is 1560.
Given the scenario in #2 for Kevin, how much interest will he pay over the life of the
mortgage?
A. $62,283.60
B. $24,337.80
C. $28,632.60
D. $64,312.60
I need help answering this question and its 6 parts
So we have the function f(x):
\(f(x)=\frac{10}{x}\)And we have to explain how to obtain its graph from that of y=1/x. The points in the graph of f(x) have the form (x,f(x)) whereas those in the graph of y are (x,y). Then the points in both graphs are given by:
\(\begin{gathered} y=\frac{1}{x}\rightarrow(x,\frac{1}{x}) \\ f(x)=\frac{10}{x}\rightarrow(x,\frac{10}{x})=(x,10\cdot\frac{1}{x}) \end{gathered}\)As you can see in order to transform the graph of y into that of f(x) you just need to multiply the y-value of each point by 10.
Now we have to graph f(x). In order to do this we should find several of its points (x,f(x)) but first it's important to note that this graph has a vertical asymptote at x=0 since f(0) is equal to a division by 0 so it's not defined. Now that we have noted this we can take several x values and find some of f's points at the right of the asymptote:
\(\begin{gathered} x=1\rightarrow f(1)=\frac{10}{1}=10 \\ x=2\operatorname{\rightarrow}f(2)=\frac{10}{2}=5 \\ x=5\operatorname{\rightarrow}f(5)=\frac{10}{5}=2 \\ x=10\operatorname{\rightarrow}f(10)=\frac{10}{10}=1 \end{gathered}\)Then we find points at the left of the asymptote:
\(\begin{gathered} x=-1\operatorname{\rightarrow}f(-1)=\frac{10}{-1}=-10 \\ x=2\operatorname{\rightarrow}f(-2)=\frac{10}{-2}=-5 \\ x=5\operatorname{\rightarrow}f(-5)=\frac{10}{-5}=-2 \\ x=10\operatorname{\rightarrow}f(-10)=\frac{10}{-10}=-1 \end{gathered}\)Then the graph of f(x) should look like this:
Now we have to give the domain and range of this function. As we saw before this function has an asymptote at x=0 so this point is out of the domain. Then its domain is given by the intervals:
\((-\infty,0),(0,\infty)\)We also need to find its range i.e. all the y-values covered by the graph. As you can see the graph continues towards positive and negative infinite y-values but it seems to have an asymptote at y=0. In order to check this let's see if there's a value of x for which f(x)=0:
\(\begin{gathered} 0=f(x)=\frac{10}{x} \\ 0=\frac{10}{x} \end{gathered}\)If we multiply both sides by x we get:
\(\begin{gathered} 0\cdot x=\frac{10}{x}\cdot x \\ 0=10 \end{gathered}\)But 0 is not equal to 10. This means that there's no x for which f(x) is equal to 0 and y=0 is not part of the range of f(x). Then its range is:
\((-\infty,0), (0,\infty)\)Now we have to find the intervals where the function increases and decreases. In order to see this we can find its derivative. The function increases in the intervals where its derivative is positive and it decreases where it's negative. The derivative of f(x) is:
\(\begin{gathered} f^{\prime}(x)=(\frac{10}{x})^{\prime}=10\cdot(x^{-1})^{\prime}=10\cdot(-1)\cdot x^{-2} \\ f^{\prime}(x)=-\frac{10}{x^2} \end{gathered}\)The term 10/x² is always positive so f'(x) is negative for all x in the domain of f(x). Therefore this function always decreases.
AnswerThe first answer is: To obtain the graph of f, dilatate the graph of y=1/x by a factor of 10.
The domain of f(x) is: (-∞,0),(0,∞)
The range of f(x) is: (-∞,0),(0,∞)
It increases at: ∅
It decreases at: (-∞,0),(0,∞)
⬆️
Question is up there
Let \(n\) be the total number of stickers. If she puts 21 stickers on a page, she will fill up \(p\) pages such that
\(n = 21p + 14\)
Suzanna has between 90 and 100 stickers, so
\(90 \le n \le 100 \implies 76 \le n - 14 \le 86\)
\(n-14\) is a multiple of 21, and 4•21 = 84 is the only multiple of 21 in this range. So she uses up \(p=4\) pages and
\(n-14 = 4\cdot21 \implies n = 4\cdot21 + 14 = \boxed{98}\)
stickers.
5c-2=3c then 24=c
how do i work this problem?
Answer:
actually, if 5c-2=c, that can also mean (5*1)-2=(3*1), or 5-2=3, so c actually equals 1
Step-by-step explanation:
yes
5c - 2 = 3c
=> 5c = 3c + 2
=> 5c - 3c = 2
=> 2c = 2
=> c = 2/2
=> c = 1