Slope = (rise) / (run)
Rise = (171-93) = 78 ft
Run = 6.5 yards = 19.5 ft
Slope = (78 / 19.5)
Slope = 4
The correct figure is not included in the list of choices.
The slope is 4.
What is slope?The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
given:
roof rises= 171 feet above the ground
horizontal distance = 6.5 yards
using,
Slope = (rise) / (run)
Rise
= (171-93)
= 78 ft
Run
= 6.5 yards
= 19.5 ft
Slope
= (78 / 19.5)
= 4
hence, the slope is 4.
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express 20% as a fraction please show me the working
Answer:
1/5
Step-by-step explanation:
Lets start with the number 100. We know that 1/10 of 100 is 10! 1/10 can also be written as 10%.
Now lets think about it, We're looking for 20%. If 1/10 of 100 is 10%, then 2/10 of 100 is 20%!
So you've got the fraction 2/10! Now you need to simplify it :)
Both the numerator (2) and the denominator (10) can be divided by 2!
(2/2)=1
(10/2)=5
Therefore, after simplifying 2/10 your final answer should be 1/5!
PLEASE ANSWER!
Alejandro has gone to school 5/7 of the last 35 days. Which expression can be used to determine the number of days Alejandro has gone to school?
A. 35 / 5/7
B. 35 * 5/7
C. 5/7 / 35
D. 7/5 / 35
Answer:
i am pretty sure it is b
Step-by-step explanation:
Which answer is the explicit rule for the sequence 11,8.5,6,3.5,1
Answer: 3.5−2.5n
Explanation:
To find the common difference take the end term and subtract the first term:
8.5 -11 = -2.5
Take the third term and subtract the 3rd term to verify:
6-8.5 = -2.5 check
The formula for an arithmetic sequence is:
an = a1+d(n-1)
an = 11 -2.5(n-1)
Distribute:
an = 11 -2.5n+2.5
Combine terms:
answer = 13.5 - 2.5n
Explanation: Tread more on Brainly.com - https://brainly.com/question/13244259#read more find the common difference take the end term and subtract the first term:8.5 -11 = -2.5Take the third term and subtract the 3rd term to verify:6-8.5 = -2.5 check The formula for an arithmetic sequence is: an = a1+d(n-1)an = 11 -2.5(n-1)Distribute: an = 11 -2.5n+2.5Combine terms: answer = 13.5 - 2.5nAnswer:
Answer: 3.5−2.5n
Is -0.5 an integer? Explain.
Answer: the explanation is given below. The number is NOT an integer.
Step-by-step explanation: We are given to check whether the number -0.5 is an integer or not.
We know that
an integer is a number where the digits after the decimal are zero, or the denominator of its fractional form is 1.
The given number is
[tex]n=-0.5.[/tex]
Here, we can see that the digits after the decimal is 5, not zero. Also,
this number can be represented as a negative fraction with denominator not equal to 1 is as follows :
[tex]n=-\dfrac{5}{10}=-\dfrac{1}{2}.[/tex]
Therefore, this number is NOT an integer.
79 plus what equals 90
Answer:
11
Step-by-step explanation:
90=79+x
-79-79
_________
11=x
What is a rational number? Please explain it as though you're explaining to a child (I'm just that dumb)
Answer:
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction p/q where p and q are integers and q!=0. A rational number p/q is said to have numerator p and denominator q. Numbers that are not rational are called irrational numbers. The real line consists of the union of the rational and irrational numbers. The set of rational numbers is of measure zero on the real line, so it is "small" compared to the irrationals and the continuum.
PLEASE HELP!!!
-x/4 - 2 = x + 1
Answer:
-x/4-3=x
Step-by-step explanation:
Answer:
-12/5
Step-by-step explanation:
-x/4-2=x+1
-x/4-x-2=1
-x/4-x=1+2
-x/4-x=3
-1/4x-4/4x=3
-5/4x=3
x=3/(-5/4)
x=(3/1)(-4/5)
x=-12/5
A student finds an object with a mass of 64.54g and a volume of 14cm3. Find the density of the object.
Answer:
4.61 g/cm3
Step-by-step explanation:
density is mass divided volumen
[tex]density \: = \frac{64.54g}{14 {cm}^{3} } = 4.61 \frac{g}{ {cm}^{3} } [/tex]
The density of the object is 4.61 g/cm³
Using the parameters given for our Calculation;
mass of object = 64.54 Volume = 14cm³The density of an object can be calculated as the ratio of the mass to the volume of the object.
Density = mass / VolumeInputting the values thus;
Density = 64.54 / 14 = 4.61 g/cm³Hence, the density is 4.61 g/cm³
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Given: 3x + 1 = -14; Prove: x = -5
Answer:
x = -5
Step-by-step explanation:
Solve for x:
3 x + 1 = -14
Subtract 1 from both sides:
3 x + (1 - 1) = -14 - 1
1 - 1 = 0:
3 x = -14 - 1
-14 - 1 = -15:
3 x = -15
Divide both sides of 3 x = -15 by 3:
(3 x)/3 = (-15)/3
3/3 = 1:
x = (-15)/3
The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:
Answer: x = -5
Answer:
Step-by-step explanation:
3x + 1 = -14;
substr 1 : 3x+1-1 = - 14 -1
3x = -15
divid by 3
x = -5
Estimate square root of 43 to the nearest tenth
Answer:
6.6
Step-by-step explanation:
√(43)= 6.5574385243
So your tenth is the coefficient (number) on the right side of the decimal which in this case would be 5 so when rounding you look at the hundredths place which is 2 spaces away from the decimal going right so in this case would be 5 as well, if the number you're rounding to is 5 or above (5-9) then you change then number in front of it by adding 1.
For example: 0.4815 if were rounding the tenths place we look at the 8 (hundredths place) and since 8 is over 5 we make the 4 (tenths place) into a 5 giving us the answer .5
so for your problem the answer would be 6.6
I have very little cash and yet he says that I had a good year with $15,000 net income. He said it was because we use accrual accounting (whatever that means). I know I paid 6 month’s rent ($1,400 a month) in advance at the end of the year. I also paid my insurance for the next year. Insurance cost $6,000. I have several customers who had a lot of services done on credit and haven’t paid yet. I think that totals $11,948 owed to me. Can you explain?
Step-by-step explanation:
Accrual - the accumulation or increase of something over time, especially payments or benefits.
(Accumulation Accounting)
Net Income: $15,000
Spent: 6($1,400)+$6,000
$8,400+$6,000 = $14,400
Current Total (In-hand): $600
Not Been Paid Yet (Not In-hand): $11,948
Accrual accounting is a method of accounting that records transactions when they occur, not when cash is exchanged. It takes into account revenues earned and expenses incurred during a specific period. In this case, the student's net income of $15,000 is calculated based on revenues earned and expenses incurred, even though there may be little cash on hand.
Explanation:Accrual accounting is a method of accounting where transactions are recorded when they occur, not when the money is exchanged. It takes into account both revenues earned and expenses incurred during a specific period, regardless of when the cash is received or paid.
In your case, even though you have little cash on hand, your net income of $15,000 is calculated based on revenues earned and expenses incurred. Let's break it down:
You paid 6 months' rent in advance at the end of the year, which amounts to 6 x $1,400 = $8,400. This is considered an expense incurred during the year, even though the cash was paid in advance.You also paid your insurance for the next year, which is $6,000. Again, this is considered an expense incurred during the current year.You have several customers who haven't paid yet, and they owe you $11,948. This is considered revenue earned during the current year, even if you haven't received the cash yet.So, your net income of $15,000 takes into account these revenues and expenses, in accordance with accrual accounting principles.
Find the next three terms of each sequence 60,52,44
Answer:
36, 28, 20
Step-by-step explanation:
To find the three terms of each sequence, simply subtract 8 from each number. For an example, you can notice the pattern by subracting 52 from 60. The answer I recieved was 8. That shows that the pattern is to subtract 8 from the following number.
Hope this helped :)
Answer:68
Step-by-step explanation:each is by 8 so add 8 onto each number to find the total
find the equation of the circle: y-intercepts 4 and –8, contain (–12, –8)
[tex]\boxed{(x+6)^2+(y+2)^2=72}[/tex]
Step-by-step explanation:The center-radius form of the circle equation is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here we know that the y-intercepts are:
[tex]y=4 \ and \ y=-8[/tex]
So:
[tex]\bullet \ If \ y=4, \ x=0 \\ \\ \\ (0-h)^2+(4-k)^2=r^2 \\ \\ \therefore \mathbf{(I)} \ h^2+16-8k+k^2=r^2 \\ \\ \\ \bullet \ If \ y=-8, \ x=0 \\ \\ \\ (0-h)^2+(-8-k)^2=r^2 \\ \\ \therefore \mathbf{(II)} \ h^2+64+16k+k^2=r^2 \\ \\ \\ \bullet \ If \ x=-12, \ y=-8 \\ \\ \\ (-12-h)^2+(-8-k)^2=r^2 \\ \\ \therefore 144+24h+h^2+64+16k+k^2=r^2 \\ \\ \therefore \mathbf{(III)} \ h^2+208+16k+24h+k^2=r^2[/tex]
So we have the following system of equations:
[tex]\left\{ \begin{array}{c}(I)\:h^{2}+16-8k+k^{2}=r^{2}\\(II)\:h^{2}+64+16k+k^{2}=r^{2}\\(III)\:h^{2}+208+16k+24h+k^{2}=r^{2}\end{array}\right.[/tex]
[tex]Subtract \ II \ from \ I \\ \\ \\\left\{ \begin{array}{c}h^{2}+16-8k+k^{2}=r^{2}\\-(h^{2}+64+16k+k^{2}=r^{2})\\---------------------\\h^{2}+16-8k+k^{2}-h^{2}-64-16k-k^{2}=r^{2}-r^{2}\end{array}\right.[/tex]
[tex]Simplifying: \\ \\ h^{2}+16-8k+k^{2}-h^{2}-64-16k-k^{2}=r^{2}-r^{2}\\ \\ 16-8k-64-16k=0 \\ \\ -24k-48=0 \\ \\ k=-\frac{48}{24} \\ \\ \therefore \boxed{k=-2}[/tex]
From (I):
[tex]h^2+16-8k+k^2=r^2 \\ \\ \\ For \ k=-2 \\ \\ h^2+16-8(-2)+(-2)^2=r^2 \\ \\ \therefore r^2=h^2+36 \\ \\ \\ Substituting \ k \ and \ r^2 \ into \ (III): \\ \\ h^{2}+208+16(-2)+24h+(-2)^{2}=h^2+36 \\ \\ Simplifying: \\ \\ 180+24h=36 \\ \\ 24h=36-180 \\ \\ 24h=-144 \\ \\ h=-\frac{144}{24} \\ \\ \therefore \boxed{h=-6}[/tex]
Finding the radius:
[tex]r^2=(-6)^2+36 \\ \\ r^2=36+36 \\ \\ r^2=72 \\ \\ \therefore \boxed{r=6\sqrt{2}}[/tex]
Finally, the equation of the circle is:
[tex](x-(-6))^2+(y-(-2))^2=72 \\ \\ \boxed{(x+6)^2+(y+2)^2=72}[/tex]
Answer:
[tex](x+6)^2 + (y+2)^2 = 72[/tex]
Step-by-step explanation:
We are given the following information in the question:
y intercept = 4, -8
The circle passes through the point (-12, -8)
Equation of circle:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where r is the radius of circle, (h,k) is the center of circle.
The circle passes through the points (0,4), (0,-8_ and (-12,-8)
Putting these points in the equation of circle we get:
[tex]1) (0-h)^2 + (4-k)^2 = r^2\\h^2 + (4-k)^2 = r^2\\2) (0-h)^2 + (-8-k)^2 = r^2\\h^2 + (-8-k)^2 = r^2\\3) (-12-h)^2 + (-8-k)^2 = r^2\\[/tex]
Now, we have three equations in three variables.
Solving the three equations, we obtain:
h = -6, k = -2, r = [tex]6\sqrt2[/tex]
Putting these values in the equation of circle:
[tex](x-(-6))^2 + (y-(-2)) = (6\sqrt{2})^2\\(x+6)^2 + (y+2)^2 = 72[/tex]
The above equation is the required equation of circle.
Solve m² + 8m = -3 by completing the square.
(Use a comma to separate multiple values.)
What the answer for this?
Answer:
Step-by-step explanation:
m² + 8m = -3
(m² + 8m+16) -16 = -3
(m+4)² = 13.....continue
8. In order to qualify for the year-end tennis tournament,
Sam must win at least 60 percent of his matches this
year. To date, Sam has won 14 of his 18 matches. Of
Sam's 13 matches remaining in the year, what is the
least number that he must win in order to qualify for
the year-end tournament?
H 4
B. 5
C. 6
D. 7
E. 8
Answer:
(14 + x)/31 ≥ .6
14 + x ≥ 18.6
x ≥ 5
The correct answer is B.
Sam needs to win at least 5 more of his 13 remaining matches in order to achieve at least a 60% win rate and qualify for the year-end tournament.
Explanation:The question: how many of Sam's 13 remaining matches must he win to qualify for the year-end tournament by winning at least 60% of his matches this year, is a mathematics question related to percentage and probability. To solve it, you need to figure out the total number of matches Sam will play in the year and calculate what number constitutes 60% of that total. Sam is set to play a total of 31 matches (18 + 13). Sixty percent of 31 is 18.6, we will round this up to 19 as you cannot win portion of a match. Given that Sam has already won 14 matches, he needs to win at least 5 more of his 13 remaining matches (19-14 = 5) in order to win at least 60 percent of his matches for the year. So, the correct answer is 5.
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Equivalent expression of 7 square root 5
Answer:19
Step-by-step explanation:
Subtract then add
Point A has coordinates (2, 4), and point C has coordinates (5, 0). what is AB?
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{0})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AC=\sqrt{(5-2)^2+(0-4)^2}\implies AC=\sqrt{3^2+(-4)^2} \\\\\\ AC=\sqrt{9+16}\implies AC=\sqrt{25}\implies AC=5[/tex]
Noah is running a portion of a marathon at a constant speed of 6 mph. Complete the table to predict how long it would take him to run different distances at that speed and how far he would run in different time intervals.
Time in hours Miles traveled at 6mph
1.
1/2
1 1/3
1 1/2
9
4 1/2
Answer:
[tex]\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}[/tex]
Step-by-step explanation:
Noah's running speed = 6 mph.
Use formula [tex]D=v\cdot t,[/tex] where
D is the distance,
v is the speed,
t is the time.
If [tex]t=1[/tex] hour, then [tex]D=6\cdot 1=6[/tex] miles.
If [tex]t=\dfrac{1}{2}[/tex] hour, then [tex]D=6\cdot \dfrac{1}{2}=3[/tex] miles.
If [tex]t=1\dfrac{1}{3}[/tex] hours, then [tex]D=6\cdot 1\dfrac{1}{3}=6\cdot \dfrac{4}{3}=8[/tex] miles.
If [tex]t=1\dfrac{1}{2}[/tex] hours, then [tex]D=6\cdot 1\dfrac{1}{2}=6\cdot \dfrac{3}{2}=9[/tex] miles.
If [tex]t=9[/tex] hours, then [tex]D=6\cdot 9=54[/tex] miles.
If [tex]t=4\dfrac{1}{2}[/tex] hours, then [tex]D=6\cdot 4\dfrac{1}{2}=6\cdot \dfrac{9}{2}=27[/tex] miles.
So, the table is
[tex]\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}[/tex]
Please find attached the answers in the attached diagram
Average speed is the total distance travelled per time.
Average speed = total distance / total time
Noah's average speed is 6mph
From the above formula, the formula to determine miles run is average speed x time
Total miles he ran in 1 hour = 6 x 1 = 6 miles
Total miles he ran in 1/2 hours = 6 x 1/2 = 3 miles
Total miles he ran in 1 1/3 hours = 6 x 4/3 = 8 miles
The formula to determine total time: total distance / average speed
Time it took Noah to run 1 1/2 miles = 3/2 ÷ 6 = 1/4 miles
Time it took Noah to run 9 miles = 9 ÷ 6 = 1 1/2 miles
Time it took Noah to run 4 1/2 miles = 9/2 ÷ 6 = 3/4 miles
Please find attached an image of the table used in answering this question
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simplify!!!
I need help please
Answer:
[tex]\frac{4^{21}}{5^{6}}[/tex]
Step-by-step explanation:
[tex]\frac{4^{7*3}}{5^{2*3}}=\frac{4^{21}}{5^{6}}[/tex]
A dairy farmer ideally produces 800 gallons of milk per day. This total can fluctuate by as much as 40 gallons in either
direction. What is the maximum and minimum expected daily production?
F(x) = 3x - 7 and g(x) = -2x - 6. Find (f + g)(x). Show steps.
Answer:
x - 1
Step-by-step explanation:
(f + g)(x)=f(x) + g(x)
(f + g)(x)=(3x - 7) + (-2x - 6)
(f + g)(x)= 3x - 7 - 2x + 6
(f + g)(x)= 3x - 2x - 7 + 6
(f + g)(x)= x -1
Mei and Anju are sitting next to each other on different horses on a carousel. Mei's horse is 3 meters from the center of the
carousel. Anju's horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei
traveled than Anju?
Answer:
[tex]2\pi \approx 6.28\ meters[/tex]
Step-by-step explanation:
Mei's horse is 3 meters from the center of the carousel. After one rotation, Mei travelled
[tex]l_M=2\pi r=2\pi \cdot 3=6\pi\ meters[/tex]
Anju's horse is 2 meters from the center. After one rotation, Mei travelled
[tex]l_A=2\pi r=2\pi \cdot 2=4\pi\ meters[/tex]
The difference in their travelled distances is
[tex]l_M-l_A=6\pi -4\pi =2\pi \approx 6.28\ meters[/tex]
Mei travels 6.28 meters more than Anju in one rotation.
In one rotation, Mei's horse travels a distance of
2 * 3.14 * 3 = 18.84 meters.
In one rotation,
Anju's horse travels a distance of 2 * 3.14 * 2 = 12.56 meters.
Therefore, Mei travels 18.84 - 12.56 = 6.28 meters more than Anju in one rotation.
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Solve the inequality for v
56>8v
Answer: 2
Step-by-step explanation:
Answer:
7614
Step-by-step explanation:
What is the ratio of birds to eggs? Choose 1 answer: (Choice A) 3 :4, (Choice B) 4 :3 (Choice C) 3 :5 (Choice D) D 5 :3
Answer:
1 2/3 an egg to a bird
Step-by-step explanation:
because there are 5 eggs and divide 5 by 3 you get 1 2/3 and there are 3 birds so each gets 1 2/3rds an egg
Answer:
C) 3:5
Step-by-step explanation:
The question asks for the ratio of birds to eggs. It's asking how many birds there are in comparison to the number of eggs. The key to ratios is paying attention to which is listed first.
There are 3 birds, and 5 eggs, therefore the ratio is 3:5
A glazier is setting supports in parallel segments to prevent glass breakage during storms. What are the values of x and y? Justify your conclusions.
Answer:
m∠y=50°
m∠x=50°
Step-by-step explanation:
we know that
The angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal
so
m∠y=50° -----> by corresponding angles
and
The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. When the lines are parallel, the alternate interior angles are equal.
so
m∠x=m∠y -----> by alternate interior angles
so
m∠x=50°
therefore
m∠y=50°
m∠x=50°
Find the x-intercept and the y-intercept of the graph of ax+by=c
Answer:
you need to show a picture of a graph for my answer to be acurate but I'll try.
Step-by-step explanation:
The x intercept is found by setting y = 0 in the above equation and solve for x. Hence, the x intercept is at (c/a , 0). The y intercept is found by setting x = 0 in the above equation and solve for x.
An app developer projects that he will earn 230$ for every 100 apps downloaded .which of the following equation can be used to be represented the proportional relationship between the number of apps ,x,and the total earnings
V
The developer would earn $50.00 if 20 apps are downloaded. Similarly, they can calculate earnings for any other number of app downloads using this equation.
To represent the proportional relationship between the total earnings (y) and the number of apps downloaded (x), we can use the formula for direct variation, which is:
[tex]\[ y = kx \][/tex]
Where:
- [tex]\( y \)[/tex] represents the total earnings,
- [tex]\( x \)[/tex] represents the number of apps downloaded, and
- [tex]\( k \)[/tex] is the constant of proportionality.
In this scenario, the app developer earns $20.00 for every 8 apps downloaded. This means that for every 8 apps downloaded, the earnings increase by $20.00. So, the constant of proportionality [tex](\( k \))[/tex] is the rate at which earnings increase per app downloaded.
To find the value of [tex]\( k \)[/tex], we can divide the total earnings by the number of apps downloaded:
[tex]\[ k = \frac{y}{x} \][/tex]
Given that the developer earns $20.00 for every 8 apps downloaded, we can substitute these values into the equation:
[tex]\[ k = \frac{20}{8} \][/tex]
[tex]\[ k = 2.5 \][/tex]
Now that we have the value of [tex]\( k \)[/tex], we can rewrite the equation with this value:
[tex]\[ y = 2.5x \][/tex]
This equation represents the proportional relationship between the total earnings [tex](\( y \))[/tex] and the number of apps downloaded [tex](\( x \))[/tex]. It shows that for every additional app downloaded, the total earnings increase by $2.50, maintaining a consistent rate of increase.
This equation allows the app developer to predict their earnings based on the number of apps downloaded. For example, if 20 apps are downloaded, the total earnings can be calculated as:
[tex]\[ y = 2.5 \times 20 = 50 \][/tex]
So, the developer would earn $50.00 if 20 apps are downloaded. Similarly, they can calculate earnings for any other number of app downloads using this equation.
What is 10 × 7 thousands in unit form
Answer:
70000
Step-by-step explanation:
According to the Zero-Product Rule, multiply 7 by 1000 to get 7000, then attach that extra 0 to the answer, giving you 70000.
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A retailer buys a calculator for $5.30. What selling price would represent a 210% markup?
Answer:
The selling price is $16.43
Step-by-step explanation:
we know that
A markup percentage is the amount of the cost of an item that you add on to create the selling price
we have that
[tex]100\%+210\%=310\%=310/100=3.10[/tex]
To find out the selling price, multiply the cost of a calculator by the factor 3.10
so
[tex]\$5.30(3.10)=\$16.43[/tex]
therefore
The selling price is $16.43
c. What is the relationship between a + b and b + a?
d. What is the relationship between a - b and b - a?
Answer:
c. They are equal to each other.
d. They are the negative of each other.
Step-by-step explanation:
c. Adding c to d and d to c are the same and thus both expressions are equal. In addition, the numbers can be added in any order and will result in the same final answer. This is also known as commutative property.
d. a-b= -(b -a)
In this case, subtracting b from a is not equal to subtracting a from b. The order of terms in subtraction affects the final answer.