Answers
Problem 1
Answer: Choice A[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]
---------------------------
Explanation:
The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.
a = first term = 59,000 = starting salaryr = common ratio = 1.08 = tells us how the salary increases year to yearThe 1.08 represents an increase of 8% because,
1.08 = 1 + 0.08 = 100% + 8% = 108%
=======================================================
Problem 2
Answer: Choice C[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]
---------------------------
Explanation:
The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.
=======================================================
Problem 3
Answer: Choice C30 feet; major axis
---------------------------
Explanation:
Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.
Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.
Related Questions
I WILL GIVE YOU 200 pts please
1. √−36
2. √−8 ⋅ √−32
3. √− 15 ⋅ √− 25
4. (–3i) (4i)(–5i)
5. (7i)2(6i)
6. 42
7. 55
8. 89
9. (5 – 2i) + (–13 – 8i)
10. (7 – 6i) + (9 + 11i)
11. (–12 + 48i) + (15 + 21i)
12. (10 + 15i) – (48 – 30i)
13. (28 – 4i) – (10 – 30i)
14. (6 – 4i) (6 + 4i)
15. (8 – 11i) (8 – 11i)
16. (4 + 3i) (2 – 5i)
17. (7 + 2i) (9 – 6i)
18.
19.
2
7 − 8
20.
3–
21.
2–
6 + 5
−2
2 − 4
1 + 3
Solve each equation.
22. 52 + 35 = 0
23. 2 2 + 10 = 0
24. 4 2 + 76 = 0
25. −2 2 − 6 = 0
26. −5 2 − 65 = 0
27. 4 2 + 12 = 0
3
Find the values of ℓ and m that make each equation true.
28. 15 – 28i = 3ℓ + (4m)I
29. (6 – ℓ) + (3m)i = –12 + 27i
30. (3ℓ + 4) + (3 – m)i = 16 – 3i
31. (7 + m) + (4ℓ – 10)i = 3 – 6i
32. ELECTRICITY The impedance in one part of a series circuit is 1 + 3j ohms and the impedance in another part of the
circuit is 7 – 5j ohms. Add these complex numbers to find the total impedance in the circuit.
33. ELECTRICITY Using the formula E = IZ, find the voltage E in a circuit when the current I is 3 – j amps and the
impedance Z is 3 + 2j ohms.
Answers
1 = 6i
Add me Ill solve all Cloewyy#8905
Write an equation and solve the sum of twenty one and five
times a number f is 61
Answers
5f = 40
f = 8
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
Answers
Answer:
= 108
Step-by-step explanation:
the rectangle = 12 * 5 = 60
plan A:
the triangle A with H = (13 - 5)/2 = 8/2 = 4
then triangle A = [tex]\frac{1}{2}[/tex] * 6 * 4 = 24/2 = 12
total triangles = 12 * 4 = 48
hexagon area = 60 + 48 = 108
plan B:
there 13 - 5 = 8
because there are identical triangles, so we can shape both of it being a rectangle with short line is 8/2 =4, and long line is 12
then we calculate that rectangle area = 12 * 4 = 48, then total of the hexagon = 60 + 48 = 108
Find the x-intercepts.
y =
2x2 + 5x + 2/
x2 - 4x + 3
Answers
Answer:
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{(2x+1)(x+2)}{(x-1)(x-3)}[/tex]
[tex]0=(2x+1)(x+2)[/tex]
[tex]2x+1=0[/tex] and [tex]x+2=0[/tex]
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
What is the area of a triangle with a base of √10 and a height of √13
Answers
= 1/2 (sqrt 10) (sqrt 13)
Answer=1/2 (sqrt 130)
Answer:
5.691
Step-by-step explanation:
v10=3.162 and v13=3.605
so 3.162x3.605= 11.383
the 11.383 divided by 2 = 5.691
Solve for X 3x - 5X + 8x + x = 42
7
8
6
Answers
Answer:
x = 6
Step-by-step explanation:
3x-5x+8x+x = 42
7x = 42
x = 6
Need help with this question pre collegee
Answers
Answer:
Step-by-step explanation:
the domain is (-∞,∞)
According to a Gallup poll, 60% of American adults prefer saving over spending. You randomly select 4 adults and ask if they prefer spending over saving. Construct a probability distribution for the random variable x. Then graph the distribution. (Histogram)
Expected Value ______________________________
Standard Deviation _____________________________
B –
I-
N-
S-
Interpretation
Answers
Using the binomial distribution, it is found that:
The expected value is of 2.4.The standard deviation is of 0.76.The distribution is given by the histogram.For each person, there are only two possible outcomes, either they prefer saving, or they prefer spending. The preferences of each person are independent of any other person, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.The expected value is:
[tex]E(X) = np[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)}[/tex]
In this problem:
60% prefer saving over spending, hence [tex]p = 0.6[/tex]4 adults are selected, hence [tex]n = 4[/tex].Then:
[tex]E(X) = np = 4(0.6) = 2.4[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{2.4(0.6)(0.4)} = 0.76[/tex]
The histogram is sketched at the end of the answer.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
elliot's jogging rate is 9 km/h. how many kilometers can he travel in
a) 2 hours?
b) t hours.
50 POINTS AND BRAINILEST!
Answers
Answer:
A=18km B=equation is 9t
Step-by-step explanation:
Here's how I found the answer!
A: Here is our current proportion:
9km
--------
1 hr
Here is what we want:
9km xkm
------- = --------
1h 2h
Now, what did I do to 1 to get to 2? I multiplied by 2.
Since this is a ratio, it needs to be proportional.
So, we need to do the same thing for the numerator, 9.
9*2=18.
A=18km
B: This question is asking for an expression, which would be 9t. 9 is the amount he jogs per hour, and t is the hour that is unknown.
The distance travelled by Elliot's is 18 hours.
Given that, Elliot's jogging rate is 9 km/h.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
a) The formula to find the distance is Distance = Speed × Time
= 9 × 2
= 18 hours
b) Distance = 9 × t
=9t hours
Therefore, the distance travelled by Elliot's is 18 hours.
To learn more about the speed, distance, and time visit:
brainly.com/question/4978052.
#SPJ2
The year 2004 has the units digit equal to twice the thousands digit. How many years will it be before this next happens?
Answers
Step-by-step explanation:
the answer should be 1004
Multiply
(5x+y)(6x-7y)
Answers
Answer:
30x2−29xy−7y2
Step-by-step explanation:
=(5x+y)(6x+−7y)
=(5x)(6x)+(5x)(−7y)+(y)(6x)+(y)(−7y)
=30x2−35xy+6xy−7y2
=30x2−29xy−7y2
A six-sided, fair number cube is rolled 100 times as part of an experiment. The frequency of the roll of the number 3 is 20. Which statement about rolling a 3 is correct?
The theoretical probability is 1/6. The experimental probability is 1/6.
The theoretical probability is 1/5. The experimental probability is 1/6.
The theoretical probability is 1/6. The experimental probability is 1/5.
The theoretical probability is 1/5. The experimental probability is 1/5.
Answers
Answer:
The theoretical probability is 1/6. The experimental probability is 1/5.
Step-by-step explanation:
Answer:
c for lazy goofy peoplee
Step-by-step explanation:
Which is NOT true?
7 + 7 = 19 - 5
9 + 9 = 11 + 7
19 = 13 + 5
20 - 12 = 4 + 4
Answers
Answer:
c.19 = 13 + 5
Step-by-step explanation:
evaluate 4/5 * for * =7
Answers
Answer:
16/5=7
Step-by-step explanation:
Maria has a net income of $2,400 per month. She puts $400 into her
savings. What percent of her net income did she put into savings?
Round your answer to the nearest tenth.
Answers
Answer:
17%
Find the percentage that 400 is of 2400 (It's quite tricky to explain).
What is 13x4=nx26 and tell me the answer
Answers
Answer:
There are a couple different solutions to your equation:
[tex]x=0[/tex]
[tex]x=\sqrt[22]{\frac{13}{n}}[/tex]
[tex]x=-\sqrt[22]{\frac{13}{n}}[/tex]
[tex]\:n\ne \:0[/tex]
On Monday there are 25 pencils in a basket, If 3 pencils are taken out of the basket each day, how many pencils are left in the basket on Friday?
Answers
13 cuz add 4 days then friday so 4×3 which is 12 and 12-25 so ye its 13
NEED HELP RELATIONSHIP IN TRIANGLES
Answers
We have: PT = NT <=> 4x - 17 = x + 10 <=> 3x = 27 <=> x = 9
=> NT = 4x - 17 = 4.9 - 17 = 19
Δ RNT have:
[tex]RT^2 = NT^2 -RN^2 =19^2 -14^2=165\\=>RT=\sqrt{165} [= 12.84523258][/tex]
Ok done. Thank to me :>
Pls HELP meeee. My child needs some real help I I wish I would’ve took those college lessons.
Answers
Answer:
75%
Step-by-step explanation:
100/64*48=75%
PLS HELP i will GIVE BRAINLESS)!!!! Some friends play history trivia. Players gain 1 point for a correct answer. Players lose 1 point for an incorrect answer. The player with the greatest score wins. The players’ scores are shown in the table. a. List the players from worst score to best score. Show your work.SOLUTION b. Check your answer to problem 3a. Show your work. 3 Player Score Brett27 Ellema 21 Felipe 13 Jennifer 0 Kamal 12 Riley25
Answers
Answer:
0,12,13,21,25
Step-by-step explanation:
jennifer-0, kamal-12, felipe -13, ellma-21, riley 25
basically least to greatest order
The answer is 10^-2/3+5
Answers
Answer:
k
Step-by-step explanation:
Write the ratio 4 1/5 to 5 2/5 as a simplified fraction
Answers
Answer:
[tex]\huge\boxed{4\dfrac{1}{2}:5\dfrac{2}{5}=5:6}[/tex]
Step-by-step explanation:
[tex]4\dfrac{1}{2}:5\dfrac{2}{5}[/tex]
we convert a mixed number to an improper fraction
[tex]4\dfrac{1}{2}=\dfrac{4\cdot2+1}{2}=\dfrac{9}{2}\\\\5\dfrac{2}{5}=\dfrac{5\cdot5+2}{5}=\dfrac{27}{5}[/tex]
Therefore
[tex]4\dfrac{1}{2}:5\dfrac{2}{5}=\dfrac{9}{2}:\dfrac{27}{5}=\dfrac{9\!\!\!\!\diagup^1}{2}\cdot\dfrac{5}{27\!\!\!\!\!\diagup_3}=\dfrac{1}{2}\cdot\dfrac{5}{3}=\dfrac{1\cdot5}{2\cdot3}=\dfrac{5}{6}=5:6[/tex]
The ratio 4 1/5 to 5 2/5 is equivalent to the simplified fraction 7/9.
How to write the simplified factionTo write the ratio 4 1/5 to 5 2/5 as a simplified fraction, we need to convert both mixed numbers to improper fractions and then find their ratio.
Step 1: Convert the mixed numbers to improper fractions:
4 1/5 = (4 * 5 + 1) / 5 = 21 / 5
5 2/5 = (5 * 5 + 2) / 5 = 27 / 5
Step 2: Find the ratio by dividing the first fraction by the second fraction:
Ratio = (21 / 5) / (27 / 5)
Step 3: To divide by a fraction, multiply by its reciprocal:
Ratio = (21 / 5) * (5 / 27)
Step 4: Simplify the fraction:
Ratio = (21 * 5) / (5 * 27)
Ratio = 105 / 135
Step 5: Simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 15:
Ratio = (105 / 15) / (135 / 15)
Ratio = 7 / 9
Learn more about simplified fraction
https://brainly.com/question/78672
#SPJ3
35 devide 28 with decimals pls help
Answers
Answer:
1.25
Step-by-step explanation:
The answer in decimal is 1.25
35/28= 1.25
= 35 ÷ 28
by 1
=35 - 28 = 7
Introducing decimals
= 70 to 28
by 2
= 70 - 56 = 14
adding zero to 14
= 140 to 28
by 5
= 140 - 140 =0
the answer is 1.25
I did it this way through division hope you'll understand. All the best.
Which is the equation of a parabola with Vertex (0,0) and directrix x=-2?
Answers
Answer:
y^2 = 8x
or
x = 1/8 y^2.
Step-by-step explanation:
The general form for this type of parabola is
y^2 = 4ax where the focus is at (a, 0) and the directrix is x = -a
So the equation is y^2 = 4*2x
that is y^2 = 8x.
957.75 + 83.86 the sum is
Answers
Answer:
1,041.61
Simply stack the numbers (lining up the decimals) and add right to left.
Can someone please help me with both questions I will mark u brilliant
Answers
1. We can simply multiply 6.50 by 2!
6.50 x 2 = 13
The book cost $13
2. The easiest way to do this is to convert the fractions into decimals.
1/4 = 0.25
1/5 = 0.2
1/8 = 0.125
Add them together: 0.575!
Subtract this from 1: .425
Multiply by 100: 42.5
42.5% is your answer!
Hope this helps!
Answer: B
Step-by-step explanation:
Each of the 14 students in the art club needs 4 1/4 ounces of paint for a project. The art store sells paint only in 8 ounce bottles. How many bottles of paint does the art club president need to buy for the project?
A - 3
B - 4
C - 7
D - 8
Answers
Answer:
C-7
Step-by-step explanation:
Answer: The art club president need to buy 14 bottles of paint for the project.
Step-by-step explanation: Given that each of the 14 students in the art club needs 4 ounces of paint for a project. The art store sells paint only in 8-ounce bottles.
We are to find the number of bottles of paint that the art club president need to buy for the project.
We will be using the unitary method to solve the given problem.
Number of bottles filled by 8 ounces of paint = 1.
So, the number of bottles filled by 1 ounce of paint is
So, the number of bottles filled by 4 ounces of paint will be
Now, number of bottles of paint needed by 1 student
Therefore, the number of bottles of paint needed by 14 students will be
Thus, the art club president need to buy 14 bottles of paint for the project.
A farm lets you pick 3 pints of raspberries for $12.00
Answers
do you want me to find the answer or something because ur just doing something and not saying what to do with it
an amount ogf $3700 id deposited into an account that pays 8.25% confounded semi-annually. how much money eill you receive in 15 years
Answers
Answer: The answer is seventeen
Step-by-step explanation:
i just answered this question
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 59 kilograms. A
delivery of large boxes and 4 small boxes has a total weight of 149 kilograms. How much does each type of box weigh?
a