Answer:
an = -3 · an - 1 where a1 = -1.
Step-by-step explanation:
The first term a1 = -1 and the common ratio is -3 so ecah term is formed form the previous one by multiplying by -3.
What is the correct answer for this?
Volume:-
side³a³5³125cm³What is the length of PR?
Answer:
c 6
Step-by-step explanation:
since angles are equal then the sides can be equal
(AB÷PQ)=(AC÷PR)
(20÷5)=(24÷X)
4=24÷X
X=6
8. A 140-pound female has three mixed drinks one right after the other.
a. What is her BAC after consuming the three drinks?
BAC =
b. What is her BAC three hours after finishing the last drink?
The BAC of the female is an illustration of proportion
The BAC after consuming the three drinks is 0.029wThe BAC three hours after consuming the drinks is 0.087 wHow to calculate the BAC?BAC is calculated using:
BAC = Alcohol consumed/(Body Weight * R)
The weight is given as:
Body weight = 140 lb
Convert to kg
Body weight = 63.5 kg
For female
R = 0.55
So, we have:
BAC = Alcohol/(63.5 * 0.55)
BAC = Alcohol/34.925
BAC = 0.029Alcohol
The weight or volume of the alcohol consumed is given.
So, we represent it with w.
BAC = 0.029w
Hence, the BAC after consuming the three drinks is 0.029w
How to calculate the BAC after 3 hours?We have:
BAC1 = 0.029w
Time (t) = 3 hours
The BAC after 3 hours is
BAC = BAC1 * (t - 0.015)
So, we have:
BAC = 0.029w * (3 - 0.015)
Evaluate the product
BAC = 0.087w
Hence, the BAC three hours after consuming the drinks is 0.087 w
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1/6 of a birthday cake is left over from a party. The next day, it is shared among 7 people. How big A piece of the original cake did each person get?
Answer:
j
Step-by-step explanation:
Explanation:
Draw 6 identical rectangles side by side as shown in figure 1 in the diagram below. Shade one of the rectangles to represent 1/6 of the cake left over.
Now draw in horizontal lines (see figure 2) to split the leftover amount into 7 equal portions. Notice that we have a 7 by 6 grid of tiny rectangles. There are 7*6 = 42 tiny rectangles in total.
Each person will therefore get 1/42 of the original cake when splitting up this last leftover slice.
What is the least common multiple? 27, 21
Answer:
189 is the LCM of 27 and 21
A state park is designed in a circular pattern as shown in the diagram. Marta rides her bike along the circular path from the ranger station to the pool. How far does she ride? Round your answer to the nearest tenth of a mile. Show your work please
Answer:
2.3 miles
Step-by-step explanation:
Given by the circular pattern as shown in the diagram:
Ranger station to Nature Center = 90°
Nature center to petting zoo= 40°
Petting zoo to Tennis court =120°
Tennis court to Pool = 65°
Pool to Ranger station= 45°
The radius of the circular pattern = 1 mile
Formula:
Arc length = 2πr angle / 360° where r is radius and π=3.14
Solution:
Thus,
Arc length = 2×3.14×1×90°/360°
Arc length=2×3.14×1×1/4 =1.57 miles
Distance from Nature Center to Petting Zoo
Arc length= 2×3.14×1×40°/360°
Arc length= 2×3.14×1×1/9 = 0.70 miles
Total =1.57+0.70 =2.27 miles
Answer to the nearest tenth = 2.3 miles
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A rectangular-shaped badminton court has an area of 880 square feet. The width of the court is 20 feet. What is the length of the badminton court?
Answer:
length = 44 ft.
Step-by-step explanation:
A = lw
[tex]880 = 20l\\[/tex]
Solving for l gives us l = 44 ft.
what numbers between the number 7-15 make 33
Mr. Jones and Mr. Griebel each bought new shoes, Mr. Jones used a 20% off coupon and paid $82. Mr. Griebel used a $20 off coupon. How much Mr Griebel pay for his shoes?
Please help meee
Answer:
Assuming they bought the same shoes, $82.5
Step-by-step explanation:
80% of Original Shoe price = $82
Divide by 0.8 to find the original price.
82 / 0.8 = 102.5
102.5-20=82.5
what is the algabric way to find the area of a triangle
The parameters for computing the area of triangle is first listed out and the expression for the area of triangle was used to find the algebraic method
Area of TriangleParameters for find the area of triangle are
BaseHeightLet the base be x, and let the height be y
We know that the expression for the area of triangle is given as
Area = 1/2 (Bass* Height)
Substituting our parameters we have
Area = 1/2*x*y
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What heat transfer is Christmas lights radiation or convention or conduction
Answer:
The heat from the sun or heat released from the filament of a light bulb is the example of radiation.
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 33 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h= 4 + 33t - 16t^2
Find all values of t for which the ball's height is 20 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.).
Answer:
At both 0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.
Step-by-step explanation:
We can use two approaches to finding the answer: Calculation and Graphing.
Calculation:
Set h to 20 feet and solve the equation using the quadratic formula.
h= 4 + 33t - 16t^2
20= 4 + 33t - 16t^2
- 16t^2 + 33t + 4 = 20
- 16t^2 + 33t + -16 = 0
Solve using the quadratic formula. I find solutions of 0.779 and 1.28 seconds.
Graphing:
See the attached graph.
The ball is at 20 feet at 0.783 seconds on the way up and 1.28 seconds on the way back down.
===
Both approaches agree: 0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.
Let T be the set of things found in a toy store, and V be the set of things that cost more than $50.
Select the words from the drop-down menus to correctly complete the sentences.
The set T∪V is the set of things that
Choose...
.found in a toys store and cost more then 50$
found in a toys store or cost more then 50$
The set T∩V is the set of things that
Choose...
.found in a toys store and cost more then 50$
found in a toys store or cost more then 50$
The set T′ is the set of things that
Choose...
cost under 50$
not found in toy store
not found in toy store and cose more then 50
Answer:
found in a toys store and cost more than 50$
Step-by-step explanation:
it makes the most sense don't you think?
Can someone please help me with this question?
Answer:
x< -6 or x > 0 (C is correct for question 1.) x ≤ 2 (C is correct for question 2)
Step-by-step explanation:
You have given me 2 questions:
| x + 3 | + 7 > 10
3x + 6 ≤ 12
Let's solve the first one:
| x + 3 | + 7 > 10
Before we start, the greater-than sign means that the point on the number line has to not be filled in.
| x + 3 | + 7 > 10
**Along with this equation you need to do a negative one meaning you need to flip the sign to a less than one and make 10 and 7 negative.
| x + 3 | - 7 < -10
| x + 3 | + 7 > 10
**Notice that this one is the original one.
Subtract 7 both sides
| x + 3 | > 10 -7
Now do 10-7
| x + 3 | > 3
Now subtract 3 both sides
x > 0
The negative case:
| x + 3 | - 7 < -10
Add 7 both sides
| x + 3 | < -10 + 7
Do -10 + 7
| x + 3 | < -3
Subtract 3 both sides
x < -3-3
Solve -3-3
x < -6
Your inequalities:
x< -6 or x > 0
The or statement is for greater than and the "and" is for less than.
Answer Choice C is correct.
Next Question:
3x + 6 ≤ 12
**Before we do anything, we have a less than or equal sign**
The point will be filled on the number line.
This is a typical inequality two-step:
3x + 6 ≤ 12
Subtract 6 from both sides
3x ≤ 12-6
Do 12-6
3x ≤ 6
Now divide 6 by 3
x ≤ 2
Answer Choice C is correct.
3. Use multiplication to find 5% of 180. 5/100 of 180 =…. 180. = ?/100 = ? %5 of 180 is ….
Answer:
9
Step-by-step explanation:
5% of 180 = 5/100 x 180
=> 5/10 x 18
=> 90/10
=> 9
Answer:
9
Step-by-step explanation:
5% of 180 = 5/100 of 180
10% = 18 -----> 5% = 9
180 = ?/1000 -------> 180 = 18000 / 100 = 180
5% of 180 = 9
Find the sum of each of the following series:
(a) 2 + 7 + 12 + ...... +92
where u(n) is the nth term (any term).
u⁰ is out first term (2)
d is the common difference (5)
u(n)=u⁰+nd92 =2 +5n5n =90n =18This sequence admits 19 terms since we start counting from 0 till 18.SummationS= number of terms/2 ×(u¹⁸+u⁰)[tex]s = \frac{19}{2} \times (92 + 2)[/tex][tex]s = 9.5(94)[/tex]
[tex]s = 893[/tex]
That's ur answer :)the length of a rectangle is 3 meters more than twice its width what is the width of the rectangle if the area is 9 m^2. pls help. solve by using applications of quadratics
Step-by-step explanation:
answer is shown above, that is a tricky question though.
Which choices are equivalent to the expression below? Check all that apply.
x + 2x + 9x
O A. 12x
O B. 12y3
O C. 12
D. (1 + 2+ 9)x
SUBMIT
help please, can you figure it out?
Answer:
4,333$
Step-by-step explanation:
There are 12 months in a year so we divide 52,000 by 12 and it equals 4,333 if you rounded it.
How can 8.34… be written in the form a/b where a and b are integers?
The decimal value 8.34 written as a ratio of a/b is 417/50
Conversion of decimal to fractionFractions are values written as a ratio of two integers
Given the decimal value 8.34, we are to convert it to a decimal value as shown:
8.34 = 834/100
Write in a simplified form834/100 = 417/50
Hence the decimal value 8.34 written as a ratio of a/b is 417/50
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enrollment is a business seminar increased from 50 people to 62 people. what was the percent increase?
well, it went up from 50 to 62, so it really went up by 12 folks.
if we take 50 to be the 100%, what is 12 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 50 & 100\\ 12& x \end{array} \implies \cfrac{50}{12}=\cfrac{100}{x}\implies \cfrac{25}{6}=\cfrac{100}{x} \\\\\\ 25x=600\implies x=\cfrac{600}{25}\implies x=24[/tex]
What is the solution to the
equation log, (2x - 3) = -1?
Round to the nearest thousandth.
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: log(2x - 3) = - 1[/tex]
[tex]\qquad \sf \dashrightarrow \:2x - 3 = {10}^{ - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 0.1 + 3[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 3.1 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 1.55[/tex]
Each side of the square below is 8 inches. A triangle inside of a square. The top of the triangle divides a side of the square into 2 equal parts of 4 inches. The triangle is shaded and the area to the right of the triangle is shaded. What is the probability that a point chosen at random in the square is in the blue region? 0. 25 0. 33 0. 66 0. 75.
The probability that a point is chosen at random in the square is in the blue region is 0.8.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As we know that the area of the shaded region is the sum of the area of triangle A and the area of triangle B. Therefore, the area of the blue shaded region is,
[tex]\text{Area of shaded region} = (\dfrac{1}{2} \times 8 \times 8) + (\dfrac{1}{2} \times 4 \times 8)[/tex]
[tex]= (32) + (16)\\\\= 48\rm\ in^2[/tex]
The area of the square can be written as,
[tex]\text{Area of Square} = \rm(Side)^2 = 8^2 = 64\ in^2[/tex]
Now, the probability that a point is chosen at random in the square is in the blue region can be written as,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm Probability = \dfrac{\text{Area of blue region}}{\text{Area of square}}\\\\Probability = \dfrac{48}{60} = 0.8[/tex]
Hence, the probability that a point is chosen at random in the square is in the blue region is 0.8.
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In which of the following situations should a debit card be used? A Eugene is at a cash-only restaurant, and needs to use the ATM. B Eugene is going to buy a guitar, but he does not have the money for it. с Eugene is not sure how much money is in his account and does not want an overdraft fee. D Eugene was in a car crash, and now he has a lot of expensive medical bills to pay.
Answer:
the answer is A
Step-by-step explanation:
If Eugene is at a cash-only restaurant he must withdraw cash out of his bank account (linked to debit card.)
A windowpane is 5 inches by 6 inches. What is the distance between opposite corners of the windowpane?
Answer:
6 in.
Step-by-step explanation:
5 inches is the width. Length is 6 in.
What is the measure of an angle at the centre whose radius is equal to arc length?
Answer:
radian
Step-by-step explanation:
A radian is a unit of angle that is equal to the angle created at the center of a circle whose arc is equal in length to the radius.
Hope it helps!!!Brainliest pls!!!The measure of an angle at the center is 1 radian.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
Radius is equal to arc length.
To find the measure of the angle at the center:
We have the formula,
Angle in radian = arc length / radius
Let a be the arc length,
then a be the radius.
Substituting the values,
Angle in radian = a/a
Angle in radian = 1 radian
Therefore, 1 is the measure of an angle at the center.
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A map is placed on a coordinate grid. On the map, city 1 is located at the
point (35, 78), and city 2 is located at the point (47, 122). What are the
coordinates of a city located halfway between city 1 and city 2?
Answer:
its b trust me i had that one (12,44)
Step-by-step explanation:
The area of a rectangle is 175 cm. And the width of the rectangle is 5 cm. What's the perimeter of the rectangle?
Answer:
80cm
Step-by-step explanation:
The area of the rectangle is given by Area = L*W (length, L and width, W).
175 cm^2 = 5*L
L = 35 cm
Perimeter is 2L + 2W
2(35cm)+2(5cm)
70cm + 10cm
Perimeter = 80cm
You are starting a savings account for college. You put $1,000 in as your starting balance. You earn simple interest at 10% every year. You also must pay 30% income tax on the interest earned annually. Calculate the balance for the account after 5 years
Answer:
$1,350
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = interestP = principalr = interest rate (in decimal form)t = time (in years)Given:
P = $1,000r = 10% = 0.1t = 5 years⇒ Total interest earned = 1000 × 0.1 × 5 = $500
If you have to pay 30% income tax on the interest earned annually, then you will keep 70% of your earned interest.
⇒ 70% of $500 = 0.7 × $500 = $350
Account balance = principal + interest earned after tax
= $1,000 + $350
= $1,350
A ratio of boys to girls in the classroom is 4 to 5 if there are 20 girls how many boys would there be
Answer:
16 to 20
Step-by-step explanation:
Let's do our math.
4 to 5
8 to 10
12 to 15
16 to 20
In order to get to 20, you'd have to multiply 5 by 4. So in order to get an equal ratio, you multiply 4 by 4 and get 16.
I hope this helps!
-No one