Answer:
$60-25%= $45 then $45+7%=$48.15
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
What is the input?
Answer:
$577
Step-by-step explanation:
Let y = amount of money in the account.
Let x = number of months.
The withdrawals are always the same amount and occur every month, so this is a linear relation.
We are given two points of the relation: (5, 442) and (13, 226).
y = mx + b
m = (442 - 226)/(5 - 13) = 216/(-8) = -27
The slope, -27, represents the amount she withdraws each month.
y = -27x + b
442 = -27(5) + b
442 = -135 + b
b = 577
y = -27x + 577
b = y-intercept = initial amount
Answer: The input was $577.
Answer: B, B, and C
Step-by-step explanation: yo mama
Is 0 a Rational number
Answer:
Yes, 0 is a rational number.
Step-by-step explanation:
Since we know, a rational number can be expressed as p/q, where p and q are integers and q is not equal to 0. Thus, we can express 0 as p/q, where p is equal to zero and q is an integer.
This is the question
Answer:
x= 3
Step-by-step explanation
Answer:
the answer is x = 3, but i gave you the explanation to figure it out on your own.
Step-by-step explanation:
x = 3
27 + 5/8 = 32
What is 3+7x(-3)(-3)÷-5
Answer:
-37.8
Step-by-step explanation:
Answer:-37.8
Step-by-step explanation:
Avani is trying to find the height of a radio
antenna on the roof of a local building. She
stands at a horizontal distance of 21 meters
from the building. The angle of elevation
from her eyes to the roof (point A) is 42°,
and the angle of elevation from her eyes to
the top of the antenna (point B) is 51°. If
her eyes are 1.5 meters from the ground,
find the height of the antenna (the distance
from point A to point B). Round your
answer to the nearest meter if necessary.
Answer:
The height of the antenna is 7.0 m
Step-by-step explanation:
Let the height of the antenna be represented by x, and the distance from Avani's eyes to the top of the building A by y. And let z = x + y, so that:
Tan 42 = [tex]\frac{y}{21}[/tex]
y = Tan 42 x 21
= 0.9004 x 21
= 18.9084
y = 18.91 m
Also,
Tan 51 = [tex]\frac{z}{21}[/tex]
z = Tan 51 x 21
= 1.2349 x 21
= 25.9329
z = 25.93 m
Therefore,
x = z - y
= 25.93 - 18.91
= 7.02
x = 7.02 m
The height of the antenna is 7.0 m
URGENT!!! I need help with these 3-word problems for my trigonometry homework. Please explain how you got the answer and any work.
9514 1404 393
Answer:
7.91 m61.58 cm²angular velocity: 17/16π ≈ 3.34 radians/second; linear speed: 425/16π ≈ 83.45 cm/sStep-by-step explanation:
The applicable relation in each case is ...
s = rθ
where s is arc length, r is radius, and θ is rotation angle in radians. Of course the relation between degrees and radians is that π radians = 180°.
__
1. s = (1.5 m)(302.2/180π) ≈ 7.91 m
About 7.91 meters of wire will be wound on the drum.
__
2. The area of a sector is found by a formula that is similar to that for the area of a triangle. For a triangle, the area is A=1/2bh, where b is the base length and h is the height of the triangle. For a sector, the area is A=1/2sr, where s is the arc length and r is the radius. Usually, this is put in the form ...
A = 1/2sr = 1/2(rθ)r
A = 1/2r²θ
The angle through which the pendulum sweeps is ...
(9°/s)(4 s) = 36° = (36°/180°)π radians = π/5 radians
Then the swept area is ...
A = 1/2(14 cm)²(π/5) = 19.6π cm² ≈ 61.58 cm²
Each complete right to left swing sweeps an area of about 61.58 cm².
__
3. Each rotation is 2π radians of angle, so the angular speed is ...
angle/time = (2π radians/revolution)(17 revolutions)/(32 s) = 17/16π radians/s
≈ 3.34 radians/s
The distance covered per unit time is found using the arc length formula above.
(arc length)/time = (rθ)/time = (25 cm)(17/16π rad/s)
= (426/16)π cm/s ≈ 83.45 cm/s . . . . . pulley rim speed
Please help me with this
Answer:
Step-by-step explanation:
(-3,-2)
Simplify the following completely, show all work. √-45
Answer:
[tex]3\sqrt{5}i[/tex]
Step-by-step explanation:
[tex]\sqrt{-45}[/tex]
[tex]\sqrt{-9*5}[/tex]
[tex]\sqrt{-9}\sqrt{5}[/tex]
[tex]3i\sqrt{5}[/tex]
[tex]3\sqrt{5}i[/tex]
What is the y-intercept of the function f(x)=2•3x
Answer:
0
Step-by-step explanation:
f(x)=2•3x
f(x)=6x+0
If a litre of juice costs 85, what would be the cost of 4 litres of juice?
Answer:
340
Step-by-step explanation:
To find the cost of 4 liters of juices, take the cost of 1 liter and multiply by 4
4 *85 = 340
Answer: It's $340
Step-by-step explanation:
4 liters of juice - 3 liters = 1 liter
Multiply 1 liter by 4 = 340 (4 x 85)
Answer: $340
HELP ME PLEASE I REALLY NEED HELP I DONT KNOW HOW TO DO THIS CAN SOMEONE PLEASE HELP I WOULD REALLY APPRECIATE IT PLEASE AND THANK YOU
9514 1404 393
Answer:
{-12, -8, 0, 8}
Step-by-step explanation:
The range is the set of y-values that correspond to the given set of x-values. I like to figure them "all at once", since the math is repetitive.
f(x) = -2x +6
f({-1, 3, 7, 9}) = -2{-1, 3, 7, 9} +6 = {2, -6, -14, -18} +6
f({-1, 3, 7, 9}) = {8, 0, -8, -12}
The range for the given domain is {-12, -8, 0, 8}.
3x+5y=14 and 6x-4y=9
Answer:
Step-by-step explanation:
Bấm máy tính hệ phương trình là ra
What number had an experimental probability that matched its theoretical probability
Answer:
here
https://decabonner.weebly.com/uploads/1/6/4/8/1648294/day_1_-_practice_wksht_-_basic_probability_key.pdf
solving quadratic equation using the completing the square method. (a)-6h²+5h+2=0
...........................................................................................................................................................................................................................................................................................................................................................................
[tex]-6h^{2}+5h+2=0\\h^{2} -\frac{5}{6} h-\frac{1}{3} =0\\h^{2} -\frac{5}{6} h+(\frac{5}{12} )^{2} -(\frac{5}{12} )^{2}-\frac{1}{3} =0\\(h-\frac{5}{12} )^{2} =\frac{1}{3} +(\frac{5}{12} )^{2}\\(h-\frac{5}{12} )^{2} =\frac{73}{144} \\[/tex]
[tex]h-\frac{5}{12} = \sqrt{\frac{73}{144}} \\h=\sqrt{\frac{73}{144}} +\frac{5}{12}[/tex]
or
[tex]h-\frac{5}{12} = -\sqrt{\frac{73}{144}} \\h=-\sqrt{\frac{73}{144}} +\frac{5}{12}[/tex]
The bread she used was 112mm in length and breadth and 6mm thick. If the cheese and tomato filling, she used was 5mm thick, them calculate the total thickness of one sandwich
Answer:
17mm
Step-by-step explanation:
careful ! the question is about a sandwich !
a sandwich has 2 layers of bread (top and bottom), and then the filling in between.
so, the total thickness of that sandwich is then 2 layers of bread and one layer of filling.
thickness = 2×6 + 5 = 12 + 5 = 17mm
What is the greatest possible integer value of x for which StartRoot x minus 5 EndRoot is an imaginary number?
Answer:
The answer is 4.
Step-by-step explanation:
Edge 2021
Answer:
4
Step-by-step explanation:
EDGE2021
A biologist is studying the plant diversity in 15 million acres of the Sierra Nevada Mountains. He will count the number of species in 150 acres. Match the strategies to their corresponding sampling techniques.
1- The biologist classifies the Sierras into 10 different ecological types and then makes sure that the proportion of each ecological type from the sample is the same as the proportion of that of the population.
2- The biologist orders the 15 million acres by latitude and then surveys every 100000th acre on the list.
3- The biologist goes to 15 diverse locations that have 10 acres each and surveys all 10 acres for each of these 15 locations.
4- The biologist enters the 15 million acres into a data base and had a computer randomly select 150 of these acres.
5- The biologist goes to his 150 favorite hiking places and looks at an acres along each trail.
A. Cluster Sampling
B. Stratified Sampling
C. Systematic Sampling
D. Convenience Sampling
E. Simple Random Sampling
Answer:
The correct answer is -
1. B. stratified sampling
2. C. Systematic Sampling
3. A. Cluster Sampling
4. E. Simple Random Sampling
5. D. Convenience Sampling
Explanation:
Stratified sampling is a method in which samples have collected from a population that can be partitioned into subpopulations, categories or strata.
Systematic sampling is the method in which samples are at low risk of manipulation due to the getting samples ordered sampling range or frame.
Cluster sampling is the sampling that has random clusters of samples and data collected from selected clusters.
In a simple random sampling method, there are equal chances to get selected from a population in the sampling method.
Convenience Sampling is the sampling there is a selection of the data as these samples are convenient to collected and selected.
2. Anne needs to know how much of her back yard will be used by her new
circular pool. *
1 point
11 feet
What is the area of the pool? Use 3.14 for T.
Answer:
see below
Step-by-step explanation: 6 13 8 09
area = π r² is the equation to calculate the area of the pool r = radius
I don't no if the 1.11 ft is the diameter of the radius, so I will use the 1.11 ft as the diameter
diameter = 2×radius
diameter / 2 = radius
area = π (d/2)² = T (d/2)² d = diameter π = T
= 3.14(1.11 / 2)²
= 3.14 × (0.555)²
= 0.9677 ft² which seems like a small pool!
If the sum of first n terms of an AP is 3n² + 5n find the AP.
Let a (n) denote the n-th term in the progression. Consecutive terms in the sequence differ by a fixed constant - call it c - such that
a (n) = a (n - 1) + c
Let a = a (1) be the first term in the sequence. We can solve for a (n) in terms of a alone:
a (n) = a (n - 1) + c
a (n) = (a (n - 2) + c) + c = a (n - 2) + 2c
a (n) = (a (n - 3) + c) + c = a (n - 3) + 3c
and so on, down to
a (n) = a + (n - 1) c
The sum of the first n terms is then
[tex]\displaystyle\sum_{k=1}^n a(k)=\sum_{k=1}^n(a+(k-1)c)=a\sum_{k=1}^n1+c\sum_{k=1}^n(k-1)=an+\frac{cn(n-1)}2=\frac c2n^2+\left(a-\frac c2\right)n[/tex]
Since this is equal to 3n ^2 + 5n, it follows that
c/2 = 3 => c = 6
a - c/2 = 5 => a = 8
So the sequence is
a (n) = 8 + (n - 1) 6 = 6n + 2
Plz help me solve this
cos 0 = 12/15. find sin 0.
Answer:
[tex]sin \theta = \frac{3}{5}[/tex]
Step-by-step explanation:
[tex]cos \theta = \frac{12}{15}\\\\cos^2 \theta = 1 - sin^2 \theta\\\\sin^2\theta = 1 - cos^2 \theta\\\\[/tex]
[tex]= 1 - (\frac{12}{15})^2\\\\= 1 - \frac{144}{225}\\\\= \frac{225 - 144}{225}\\\\=\frac{81}{225}[/tex]
[tex]sin \theta = \sqrt{\frac{81}{225}} = \frac{9}{15} = \frac{3}{5}[/tex]
Answer:9/15
Step-by-step explanation:
Three times a number decreased by eighteen.
Answer:
3n-18
Step-by-step explanation:
let n be the number
n
3 times a number
3n
decreased by is subtraction
3n-18
You have an investment account in which you invest $3,000 at 9.5%. If the account is compounded bi-monthly, how much money will be in the account after 10 years?
Answer:
$5850 is the answer
Step-by-step explanation:
P = $3000
R = 9.5%
T = 10 year
A = ?
So,
I = PTR/100
=(3000×9.5×10)/100
=285000/100
= $2850
So,
I = A-P
I+P = A
$2850 + $3000 = A
so, A = $5850
What’s the answer to this question?
Answer:
its x^4
Step-by-step explanation:
its x^4
can anyone help me with the question please
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
7 a)
Step 1 :
Make the denominators the same
[tex]-\frac{1}{7} \ and \ \frac{2}{9}[/tex]
[tex]-\frac{1}{7} \times \frac{9}{9} = -\frac{9}{63}\\\\\frac{2}{9} \times \frac{7}{7} = \frac{14}{63}\\[/tex]
Step 2 :
Now find rational between (-9/63) and (14/63).
Just change the number in the numerator. Write any numbers between -9 and 14 in the numerator.
[tex]\frac{ -8}{63}, \ \frac{-7}{63},\ \frac{3}{63},\ \frac{6}{63},\ \frac{8}{63}[/tex]
7 b )
[tex]x = 3 + 2\sqrt2\\\\x + \frac{1}{x} = (3 + 2\sqrt2) + \frac{1}{3+2\sqrt2}[/tex]
[tex][ Rationalize \ the \ denominator : \frac{1}{3 + \sqrt2} \times \frac{3 - 2\sqrt2}{3-2\sqrt 2} = \frac{3 - 2 \sqrt2}{3^2 - (2 \sqrt2)^2 } = \frac{3 - 2\sqrt2}{9 - 8} = 3 - 2\sqrt 2 \ ][/tex]
[tex]therefore , x + \frac{1}{x} = 3 + 2\sqrt 2 + 3 - 2 \sqrt 2 = 6 + 0 = 6[/tex]
A bar of lead is in the shape of a rectangular prism 2 cm by 3 cm
by 4 cm. The density of lead is 11.34 grams per cubic centimeter.
Find the mass of the bar of lead. *
272.16 grams
227.61 grams
262.17 grams
Answer:
Step-by-step explanation:
V = L * W * H
L = 4
W = 3
H = 2
V = 4 * 3 * 2
V = 24
Density = mass / Volume
density = 11.34
volume = 24
mass = ?
11.34 = mass / 24 Multiply both sides by 24
11.34 * 24 = 24 * mass /24
mass = 272.16 grams
Find the equation of the line through (6,8) which is parallel to the line y=4x−6.
Give your answer in the form y=mx+b.
Answer:
[tex]y=4x-16[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y=4x-6[/tex]
4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into [tex]y=mx+b[/tex]:
[tex]y=4x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=4x+b[/tex]
Plug in the given point (6,8) and solve for b
[tex]8=4(6)+b\\8=24+b[/tex]
Subtract 24 from both sides to isolate b
[tex]8-24=24+b-24\\-16=b[/tex]
Therefore, the y-intercept of the line is -16. Plug this back into [tex]y=4x+b[/tex]:
[tex]y=4x-16[/tex]
I hope this helps!
Answer:
y=4x−16
Step-by-step explanation:
Because we want a parallel line to the given one, we know it needs to have the same slope. Therefore, the new line must be y=4x+b for some b. Knowing that the line goes through the point (6,8), we can plug this in and solve for b:
y=4x+b
8=4(6)=b
b=-16
So the equation of the line is y=4x−16.
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes.
A 2-column table with 2 rows. Column 1 is labeled Brand A with entries 8 ounces, 2 dollars and 99 cents. Column 2 is labeled brand B with entries 16 ounces, 4 dollars and 99 cents.
Find the unit rate for each brand. Round to the nearest cent (hundredth). Brand A costs per ounce. Brand B costs per ounce.
PLS HELP
Answer:
$0.37 and $0.31
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ashley can ride her bicycle 15 miles in 2 hours. There are 60 minutes in 1 hour, and there are 1,760 yards in 1 mile. How many yards does Ashley travel in a minute ??
Answer:
220 yards in one minute
Step-by-step explanation:
15 miles in 120 minutes equals 26,400 (15 · 1760) yards in 120 minutes
26,400 yards in 120 minutes equals 220 yards in 1 minute (after dividing both 26400 and 120 by 120)
Answer:
220
Step-by-step explanation:
The first guy explained it, look above. I was about to say something similair
The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 6, 0), has a vertex at (negative 4, 4), and goes through (negative 2, 0).
Which statement about the function is true?
The function is increasing for all real values of x where
x < –4.
The function is increasing for all real values of x where
–6 < x < –2.
The function is decreasing for all real values of x where
x < –6 and where x > –2.
The function is decreasing for all real values of x where
x < –4.
Answer:
The function is increasing for all real values of x where
–6 < x < –2.
