Answer:
(x + 8)² + y² = 6.25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 8, 0 ) and r = 5 ÷ 2 = 2.5 , then
(x - (- 8))² + (y - 0)² = 2.5² , that is
(x + 8)² + y² = 6.25
3 5/8 - 2 1/8=?
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
ASAP!!!!
Answer:
answer:
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
[tex] \frac{29}{8} - \frac{17}{8} [/tex]
[tex] \frac{29-17}{8} [/tex]
[tex] \frac{12}{8} [/tex]
[tex] \frac{3}{2} [/tex]
[tex] 1\frac{1}{2} [/tex]
is your answer.
A company charges a shipping fee that is 6.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $60? Round to the nearest cent (hundredths place). *
Answer:
The answer is $2.52.
Step-by-step explanation:
56 x .045= $2.52
5/9 times 8 GUYS PLS HELP ME
Answer: 4.44
HOPE THIS HELPS
in a box of 63 marbles, 4 out of 7 marbles are red. How many red marbles are in the box?
Answer:36
Step-by-step explanation:
find the accumulated value when $1000.00 is invested for 5 years at 6% annual interest rate compounded quarterly
Answer:
The amount is $1346.86 and the interest is $346.86.
Step-by-step explanation:
To start, use the formula A = P(1+[tex]\frac{r}{n}[/tex])ⁿ°ᵇ [In this case b = time in years]
So, P = $1000, r = 6$, n = 4 and B = 5 years
After plugging it in you get,
A = 1000(1+[tex]\frac{.06}{4}[/tex])⁴°⁵
A = 1000 x 1.015^20
A = 1000 x 1.346855
A = 1346.86
To find the interest, use the formula A= P + I; Since A = 1346.86 and P = 1000 you get:
1346.86 = 1000 + I
I = 1346.86 - 1000
I = 346.86
Then you're finished! Hope this helped!
Brainliest would be appreciated! :)
1. Write the point-slope form of the equation of the line with a slope of 2 that
goes through the point (4,-4).
Answer:
y+4=2(x-4)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=2(x-4)
y+4=2(x-4) point slope form
Find sin 0
15
A.
B.
c. 15
D.
50 pts please help asap !
Answer:
its 23.5
Step-by-step explanation:
Answer:
d 26
Step-by-step explanation:
AC=24
AB=AC/2=12
AD²=AB²+BD²
AD²=5²+12²=25+144=169
AD=√169=13
AE=2*13=26
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT
Answer: That is right
Step-by-step explanation:
Answer:
b) triangle, not regularStep-by-step explanation:
This appears to be a scalene triangle. Therefore, it is a triangle, not regular. This is because scalene triangles have measures that are different on all sides and angles. Therefore, it is irregular.
Consider the scatter plot shown complete the sentence the pattern of association between temperature and time is
Answer:
a
Step-by-step explanation:
what are the missing numbers?
Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
[tex]y=a(b)^x[/tex] ...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
[tex]10=a(b)^1[/tex] ...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
[tex]20=a(b)^2[/tex] ...(iii)
Dividing (iii) by (ii), we get
[tex]\dfrac{20}{10}=\dfrac{a(b)^2}{ab}[/tex]
[tex]2=b[/tex]
Putting [tex]b=2[/tex] in (ii), we get
[tex]10=a(2)^1[/tex]
[tex]\dfrac{10}{2}=a[/tex]
[tex]5=a[/tex]
Putting [tex]a=5,b=2[/tex] in (i), we get
[tex]y=5(2)^x[/tex]
The required exponential function for the given table of values is [tex]y=5(2)^x[/tex]. So, the missing values are 2 and x, where 2 is in the base and x is in the power.
The cost of a school banquet is 75$ plus 15$ per person.
1- write a linear equation for the above situation
2- What do you think the slope and the y intercept is?
3- what would the inverse above mean?
4-How much would it cost is 75 people came
5- If the final bill was 630$ How many people attended
PLEASE show work!! 24 points
Answer:
The cost of a school banquet is $75+30n, where n is the number of people attending.
If 53 people are attending to visit school banquet, then you have to find the value of given expression at n=53.
At n=53, the value is $(75+30·53)=$1,665.
Step-by-step explanation:
The volume of a cylinder is 347.6cm cube. If the area of the base 34.76cm squared, what is the height?
Answer:
115.3333
Step-by-step explanation:
346/3
Hope this helps. :)
20 POINTS!! PLEASE HELP! WILL GIVE BRAINLIEST!!
Answer:
d i think
Step-by-step explanation:
Tori's Burgers cooks its burgers either well done or medium. Last night the restaurant served
25 burgers in all, 5 of which were well done. What percentage of the burgers were well done?
Write your answer using a percent sign (%).
The catapults are 14.5 m, end text apart, as shown. From catapult A, there is a 96 degree angle between catapult B and the target. From catapult B, there is a 58°degree angle between catapult A and the target.
How far should catapult B throw the snowball to reach the target?
Do not round during your calculations. Round your final answer to the nearest tenth of a meter.
Thank you very much.
Answer:32.9 m
Step-by-step explanation:
16. Which of the following
numbers should go in the
space to make the equation
true?
(4 x 2) × (6-3) = 4 x_x2
Answer: 3
Step-by-step explanation: Start off by solving the right side of the equation: 4 x 2 is 8 and 6 - 3 is 3, and then you must do 8 x 3 which is 24. Now, the equation should look like this: 24 = 4 x _ x 2. Next, you should go a step further with the left side of the equation by multiplying 4 and 2. Now, the equation should look like this: 24 = 8 x _. For the final step, you must divide 8 on both sides to solve for the missing number. Since 24 divided by 8 is 3, your answer is 3.
There are 60 pupils who joined the Math Quiz Competetion. 40 were boys and 20 were girls. During the Awarding ceremony, it was found out that 20% of the boys and 15% of the girls won and receieve prizes. How many receieved prizes? Brainly.Ph Please Paki Sagot po In English Kailangan ko na po ngayon!! :)
Answer:
Total number of pupils who received the prize = 10
Step-by-step explanation:
Number of boys in the Math Quiz Competition = 40
Number of girls = 20
Percentage of girls who received the prize = 20%
Therefore, number of girls who received prize = 20% of 20
= [tex]20\times \frac{20}{100}[/tex]
= 4
Percentage of boys who received the prize = 15%
Therefore, number of boys who received the prize = [tex]40\times \frac{15}{100}[/tex]
= 6
Total number of pupils who received the prize = 4 + 6 = 10
I NEED HELP jimthompson5910
15. The price of a coat was reduced from $150 to $90. By what percentage was the price reduced?
16. Nate’s hourly pay rate was raised from $10 to $12. By what percentage was Nate’s pay raised?
17. A tree grew from a height of 8 feet to a height of 12 feet. By what percentage did the tree’s height increase?
18. This week only, the local coffee shop is reducing the price of a cup of coffee from $3 .00 to $2 .28. By what percentage is the price reduced?
19. On a sunny day, the area of a puddle decreased from 700 square inches to 560 square inches. By what percentage did the area decrease?
20. A baker increased the amount of chocolate in a recipe from 8 ounces to14 ounces. By what percentage was the amount of chocolate increased?
The price of an $8,000 car is temporarily reduced to $5,000. By what percentage is the price reduced?
22. Zoe needs to raise the reduced price of the car to its original price. By what percentage should she raise the reduced price?
I'll do the first four problems to get you started
====================================================
Problem 15
Answer: 40%-----------------
Explanation:
The price dropped by $60, since 150-90 = 60. This is the discount, which is the amount you save. Divide this over the original price ($150) and we get 60/150 = 0.40 = 40%
Therefore, the price has been reduced by 40%. If we take 40% of 150, then 0.40*150 = 60 showing that 40% of $150 is 60 dollars. This matches up with the discount value mentioned earlier. So it helps verify the answer.
====================================================
Problem 16
Answer: 20%-----------------
Explanation:
The pay raised by 12-10 = 2 dollars. So the percent increase is 2/10 = 0.20 = 20%
Note how 20% of 10 = 0.20*10 = 2 is the pay raise amount; meaning that 2 is 20% of 10.
====================================================
Problem 17
Answer: 50%-----------------
Explanation:
I'll use a formula this time, but we could follow the same idea as the previous problems. This is to give another approach.
A = old value = 8
B = new value = 12
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (12-8)/8 ] * 100%
C = (4/8)*100%
C = 0.50*100%
C = 50%
50% is the same as half of the value. Note how half of 8 is 4, ie 50% of 8 = 0.50*8 = 4. So this is the amount of increase when going from 8 to 12.
Side note: The "B-A" portion in the numerator represents the change in value. We divide this change over the original amount "A" and then multiply by 100% to get the percent change we're after.
====================================================
Problem 18
Answer: 24%-----------------
Explanation:
I'll use the formula again
A = old value = 3.00
B = new value = 2.28
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (2.28-3.00)/3.00 ] * 100%
C = (-0.72/3.00)*100%
C = -0.24*100
C = -24%
The negative percent change means we have a percent decrease. So we have a 24% decrease. Since your teacher is asking about how much the percent reduction is, we'll write the positive version of this percentage.
Problems 19 through 22 will follow the same ideas as shown in the previous problems.
Rational Equations
- It takes one worker 12 hours to complete a specific job. If two workers do the same job, it takes them 6 hours to finish the job. How long would it take 6 workers to do the same job?
It will take ____ hours.
Answer:
2 hours
Step-by-step explanation:
2,4,6,8,10,&12
1, 2,3, 4, 5, &6
Hope this helps :)
Harold can solve 25 math problems in 40 minutes. At that rate, how many minutes will it take Harold to solve 60 math problems?
12. Find the Volume of the rectangular prism below. Write your final answer as a decimal by converting the fraction to decimal. Also write the units as cubic inches. * 13 in. 2 in. 3 in
Answer:
V = 9.75 cubic inches.
Step-by-step explanation:
Given the following data;
Length = 2 inches
Width = 3¼ inches
Height = 1½ inches
To find the volume of rectangular prism;
Volume of rectangular prism = length * width * height
V = 2 * 3¼ * 1½
V = 2 * 13/4 * 3/2
V = 2 * 39/8
V = 2 * 4.875
V = 9.75 cubic inches
Given that cos A 165 and sin B = 72, and that angles A and B are both in
Quadrant I, find the exact value of sin(A + B), in simplest radical form.
Given:
[tex]\cos A=\dfrac{4}{\sqrt{65}}[/tex]
[tex]\sin B=\dfrac{1}{\sqrt{2}}[/tex]
A and B both lies in I quadrant.
To find:
The value of [tex]\sin (A+B)[/tex].
Solution:
We know that, all trigonometric ratios are positive in first quadrant.
[tex]sin^2\theta +\cos^2\theta =1[/tex]
Using this we get
[tex]\sin^2A +\cos^2A =1[/tex]
[tex]\sin^2A +\left(\dfrac{4}{\sqrt{65}}\right)^2 =1[/tex]
[tex]\sin^2A +\dfrac{16}{65}=1[/tex]
[tex]\sin^2A =1-\dfrac{16}{65}[/tex]
Taking square root on both sides, we get
[tex]\sin A =\sqrt{\dfrac{65-16}{65}}[/tex] [Only positive because A lies in I quadrant]
[tex]\sin A =\sqrt{\dfrac{49}{65}}[/tex]
[tex]\sin A =\dfrac{7}{\sqrt{65}}[/tex]
Similarly,
[tex]\sin^2B +\cos^2B =1[/tex]
[tex]\left(\dfrac{1}{\sqrt{2}}\right)^2 +\cos^2B =1[/tex]
[tex]\dfrac{1}{2}+\cos^2B =1[/tex]
[tex]\cos^2B =1-\dfrac{1}{2}[/tex]
Taking square root on both sides, we get
[tex]\cos B =\sqrt{\dfrac{2-1}{2}}[/tex] [Only positive because B lies in I quadrant]
[tex]\cos B =\sqrt{\dfrac{1}{2}}[/tex]
[tex]\cos B =\dfrac{1}{\sqrt{2}}[/tex]
Now,
[tex]\sin (A+B)=\sin A\cos B+\cos A\sin B[/tex]
[tex]\sin (A+B)=\dfrac{7}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}+\dfrac{4}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}[/tex]
[tex]\sin (A+B)=\dfrac{7}{\sqrt{130}}+\dfrac{4}{\sqrt{130}}[/tex]
[tex]\sin (A+B)=\dfrac{11}{\sqrt{130}}[/tex]
Therefore, the exact value of [tex]\sin (A+B)[/tex] is [tex]\dfrac{11}{\sqrt{130}}[/tex].
plz help i give 50 points
Answer:
area of trapezium = 20 in^2
Step-by-step explanation:
here's your solution
==> area of trapezium = 1/2*(sum of parrel side)*distance between them
==> length of parrel sides = 6 in and 2 in
==> height = 5 in.
==> area of trapezium = 1/2(6 + 2) * 5
==> area of trapezium = 20 in^2
hope it helps
Step-by-step explanation:
sorry for this
"i try so can you rate"
Marissa says that lines a and D will eventually intersect. Is she correct? Explain.
What’s is this answerrr
Answer:no, The lines are skew
Step-by-step explanation:
I took the test
⚠️PLEASEEEEE HELPPPPPP !!!
Answer:
38
Step-by-step explanation:
I'm pretty sure its just the same
Find the median for this data set:
23, 34, 35, 37, 41, 43, 43
The median is
Answer:
37
Step-by-step explanation:
37
Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f?
Answer:
The correct answer is this graph
Step-by-step explanation:
I just took the test #plato
Answer: the answer is C, but make sure the C has the the line crossing on 0 and -1
Step-by-step explanation:
Took Test om Plato.
If you place a 28-foot ladder against the top of a 22 foot building
Answer:
17.3 ft
Step-by-step explanation:
To find the second leg, use the following: √c² - a². Substitute c for 28, and a for 22.
b = √28² - 22² {Square 28 to get 784, and square 22 to get 484.}
b = √784 - 484 {Subtract 484 from 784 to get 300.}
b = √300 {Find the square root of 300.}
b = 17.32051 {Round to the nearest tenth.}
b = 17.3 ft.
The bottom of the ladder will be 17.3 ft from the bottom of the building.
I hope this helps! ^w^
which are the expression represents the total area of the large rectangle?
no flile or link or i will be report you
Answer and Step-by-step explanation:
Expressions that represent the total area are:
6(m + n)
6n + 6m
(n + m)6
That is because to find the area of these rectangles, we multiply the length by the width. We would get 6m and 6n, which is one of those options.
Now, if we take out the 6 from each of the values, we get 6(m + n), or (n + m)6.
#teamtrees #PAW (Plant And Water)