Total time Olumide spends practicing piano is 40 minutes.
For every five minutes of piano practice, Olumide spends 8minutes practicing guitar.
Total time he spends practicing guitar = 64 minutes
We need to divide 64 by 8 to get the number of times he plays guitar.
The number of times he plays guitar = 64 / 8 = 8
According to question, he plays guitar after every piano practice.
So, The number of times he plays piano = The number of times he plays guitar = 8
Each time he practice piano for 5 minutes. So,
Total time he spends practicing piano = 8 × 5 = 40 minutes.
Total time Olumide spends practicing piano is 40 minutes.
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in june 2012, a gallup poll asked u.s. adults whether immigration was a good thing or a bad thing for the country. out of 1004 respondents, 663 said it was a good thing.
The 95% confidence interval for the proportion who believe immigration is a good thing is 0.631< p < 0.689.
What is immigration?Immigration is the term used to describe the international movement of individuals to a country of destination where they do not have nationality or ancestry in order to settle as citizens or permanent residents. The definition of immigration or migration excludes commuters, tourists, and other short-term visitors; seasonal labor immigration is occasionally included, though.
Research indicates that migration has favorable economic impacts for both the sending and receiving countries. The majority of the time, according to research, immigration benefits the native people economically. However, there is some debate over whether low-skilled immigration has a negative impact on low-skilled natives.
Given that,
Point estimate = sample proportion = [tex]\hat p = x / n = 663 /1004=0.660[/tex]
1 - [tex]\hat p[/tex] = 1-0.660=0.34
Margin of error = E = [tex]Z\alpha/2 * \sqrt(((\hat p * (1 - \hat p)) / n)[/tex]
= [tex]1.96 (\sqrt((0.66*0.34) /1004 )[/tex]
E = 0.029
A 95% confidence interval it is given as ,
[tex]\hat p - E < p < \hat p + E[/tex]
0.66 - 0.029 < p < 0.66+ 0.029
0.631< p < 0.689
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(8x^2+3x−4)+(−2x^2+8x)
what is the inverse of g (x)= 2x-4/3
Answer:
this is the answer of this question
What is the frequency of the sound? assume vsoundvsoundv_sound =340 m/s=340 m/s .
According to the given statement the frequency of the sound = 693.87h2b.
What is frequency?The frequency of a repeated event is its number of instances per unit of time. In certain cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively. One hertz (Hz) equals one (event) per second, which is how frequencies is expressed. Because it reflects the duration of time for one cycle of a recurring occurrence, the period is the opposite of the frequency. For example, the period, T, of a heart beating at such a frequency of 120 times per minute (2 hertz), is equivalent to 0.5 seconds (60 seconds divided by 120 beats).
According to the given information:let consider Speaker at 2x 1 and the listener at p.
lot wake interfere at pence path difference for interfering phase difference
(2π/λ )Δx₁ = 2πn
When spark move for word, the path difference:
Δx₂ = 0.950
Then phase difference
Δ∅₂ = (2π/1)Δx₂ = 2
Δ∅₂ - Δ∅₁ = (2π/λ)(Δx₂ - Δx₁) = 2π
2π x .49
λ = 0.49
frequency
f λ = Vsound
f = 340/0.49
= 693.87h2b
When separation is Δx₁ = 0.46
Δ∅₁ = 2π/0.49) x 0.46
= 5.993 radian
When separation is w2 = 0.95
it will gives 12.18116 radian.
According to the given statement the frequency of the sound = 693.87h2b.
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(b/a)^3 + a^2 for a= -2 and b =4
Answer: -4
Step-by-step explanation:
a = -2 and b = 4
(b/a)^3 + a^2=
(4/(-2))^3 + (-2)^2=
(-2)^3 + 4=
-8+4=-4
Perimeter < 18.7 feet
4,1 ft
4.9 ft/
6.4 ft
x ft
Inequality:
Solution:
For this question, the inequality is 4.9+4.1+6.4.+x < 18.7 and the solution is x < 3.3 ft.
PerimeterThe perimeter of a geometric figure is the sum of its sides. Thus, for a square, for example, the perimeter is S1+S2+S3+S4, where S represents the dimension of each side.
In this question the sides are: 4.9, 4.1, 6.4 and x. The exercise also informs that the perimeter is less than 18.7 ft.
Thus, you can write
4.9+4.1+6.4.+x < 18.7
x+15.4 < 18.7
x < 18.7 - 15.4
x < 3.3 ft.
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A girl but a T-shirt for $25 then her friend by the same shirt for 30% off how much did the friend pay for the shirt
Her friend bought the same T - shirt for $ 17.5 after 30 % discount.
We are given that a girl bought a T- shirt for $ 25.
Selling price = $ 25
Now, her friend bought the same T- shirt for 30 % off.
Discount rate = 30 %
Let the discounted price at which her friend bought the t - shirt be x.
So, we get that:
x = $ 25 - 30 % of $ 25
x = $ 25 - 30 / 100 × 25
x = $ 25 - $ 7.5
x = $ 17.5
Therefore, her friend bought the same T - shirt for $ 17.5 after 30 % discount.
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two complementary angles are in a ratio of $3:2$. what is the measure, in degrees, of the smaller angle?
The measure of the smaller angle of the complementary angles is: 36 degrees.
What are Complementary Angles?If the sum of two angles equals 90 degrees, then they are complementary angles.
Given that the ratio of two complementary angles is 3:2, therefor:
3x + 2x = 90
5x = 90
5x/5 = 90/5
x = 18
The smaller angle = 2x = 2(18) = 36 degrees.
The larger angle = 3x = 3(18) = 54 degrees.
Therefore, the measure of the smaller angle of the complementary angles is: 36 degrees.
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what is inverse function of f(x) = sqrt-3x-27
Answer: [tex]f^{-1} (x) = -\frac{x^{2} }{3} -18x -243[/tex]
Step-by-step explanation: that would be the inverse function
how many groups of 9/2 are in 1
Answer:
Step-by-step explanation:
9/2 = 4 1/2
9/2=4.5
So, we divide 1 by 9/2 to find the answer
1/4.5 = 0.2222222222
Hope this helps! ^^
There are 0.22 groups or 2/9 groups of 9/2 in unity.
What are fractions?A common fraction is a numeral which represents a rational number. That same number can also be represented as a decimal, a percent, or with a negative exponent. Example -
2/5, 5/6, 7/9
We have a fraction and a whole number.
Assume that there are [x] groups of 9/2 each. Then, we can write -
9x/2 = 1
x = 2/9
x = 0.22 (rounded of)
Therefore, there are 0.22 groups or 2/9 groups of 9/2 in unity.
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Name the geometric term modeled by the given object.
a knot in a rope
The geometric term modeled by the given object (knot in a rope) is a point
How to determine the geometric term?The given object is a knot in a rope
The knot of a knot in a rope is often represented by a dot
This means that the knot in a rope can be modelled by a line point
Hence, the geometric term modeled by the given object (knot in a rope) is a point
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.........................
Answer:
Step-by-step explanation:
The manufacturing cost of a cell phone was $146. Sellers first marked up 1
the cost by 20 percent. Sales were poor, so sellers decreased the markup to
15 percent. Calculate the old and new selling prices?.
selling price = original cost + markup
Old Selling Price: $185.80 New Selling Price: $177.90
Old Selling Price: $175.20 New Selling Price: $167.90
Old Selling Price: $235.90 New Selling Price: $189.80
Answer:
Old 175.20, New 167.90
Step-by-step explanation:
Manufacturing cost: $146
Old Price $146 + 20% markup = $175.20
New Price $146 + 15% markup = $167.90
amelia is documenting the height of sunflower plants each week. she has determined the function to be f(x)
According to the given statement the correct option is: D.
Domain, nonnegative values; range, values greater than 3.
How do we define range?The difference between the greatest and lowest values inside one set of integers is known as the range. Subtract the smallest from the greatest value in the set to determine range.
According to the given information:f(x) = 3x + 3
where f(x) is the plant's height and x is the passage of time.
The set of input values is known as the domain and the collection of output values is known as the range.
Because the value of time cannot be negative, the domain has non-negative values.
The lowest possible value of x is 0. Replace x=0 in the provided function.
f(x) = 3x + 3
f(0) = 3(0) + 3
= 3
At x=0, f(x) has a minimum value of 3, or 3. As x increases, function's value rises. Range thus refers to values greater or equal to 3.
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I understand that the question you are looking for is:
Amelia is documenting the height of sunflower plants each week. She has determined the function to be f(x) = 3x + 3, where x represents time and f(x) represents the height of the plant. Which of the following options describes the restrictions to the domain (x) and range f(x) correctly
a. Domain, nonnegative values; range, nonnegative values
b. Domain, nonnegative values; range, values greater than −1
c. Domain, nonnegative values; range, values less than −1
d. Domain, nonnegative values; range, values greater than 3
A rectangular book measures 12 x 15. What is the length of
its diagonal?
Round the answer to the nearest tenth.
can someone help me please
{-3 if x ∈ [-2,-5]}, {-2 if x ∈ (-2,3]} and {3 if x ∈ (3,4]} are the required answer for the function f(x).
Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers.
Intervals can be classified based on the numbers the set comprises. Some sets include the endpoints specified in the notation, while some might partially or not include the endpoints. In general, there are three types of intervals given as,
open interval shown by round brackets.close interval shown by square brackets.half-open interval shown by mixture of round and square brackets.For the given graph we can conclude the interval one by one.
For the first blank {-3 if x ∈ [-2,-5]}
For the second blank {-2 if x ∈ (-2,3]}
For the third blank {3 if x ∈ (3,4]}
Therefore, {-3 if x ∈ [-2,-5]}, {-2 if x ∈ (-2,3]} and {3 if x ∈ (3,4]} are the required answer for the function f(x).
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Find the weighted average of the points in the line
The weighted average of the points in the line is 7.5
How to find the weighted average of the points in the line?The points are given as
3 and 12
The weighted average of the points in the line is calculated as
Weighted average = Sum/Count
So, we have:
Weighted average = (3 + 12)/2
Evaluate
Weighted average = 7.5
Hence, the weighted average of the points in the line is 7.5
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Rocko paid $12.50 for 25 game tickets. Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality? Express your answer in decimal form.
The constant of proportionality is 0.5.
How to compute the value?From the information, Rocko paid $12.50 for 25 game tickets and Louisa paid $17.50 for 35 game tickets.
The constant of proportionality can be illustrated as k.
Therefore, 12.50 = 25 × k
12.50 = 25k
Divide
k = 12.50/25
k = 0.5
The constant of proportionality is 0.5.
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Select the reason why these triangles are
similar. If they are not, select "Not similar."
88°
62°
88°
30° help asap this is my last question
The triangles are similar by AA.
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary.
In similar triangles, corresponding sides are always in the same ratio.
Corresponding angles in similar triangles are always congruent.
Therefore, the angles of the first triangle are 88, 30 and 62 and the angles of the second triangle are 62, 88 and 30 degrees.
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Therefore, the triangles are similar by AA.
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Find the degree measure of each angle in the triangle
Answer:
gooddddd luuuuuuuccccccckkkkk
Answer:
<K = 55 <L = 55 <M = 70
Step-by-step explanation:
As it is an isosceles triangle, Two sides of the triangle will be equal and their angles will be equal too.
L and K are both = (4x + 3)
All angles in a triangle add up to 180
(4x + 3) + (4x + 3) + (5x + 5) = 180
4x + 3 + 4x + 3 + 5x + 5 = 180
13x + 11 = 180
13x = 180 - 11
13x = 169
x = 169/13
x = 13
<K = 4x + 3 = 4(13) + 3 = 55
<L = 4x + 3 = 4(13) + 3 = 55
<M = 5x + 5 = 5(13) + 5 = 70
Evaluate expression if r=3, q=1 , and w=-2 .
r w-6
The result of evaluating the expression r w-6 is equal to -12.
To evaluate an expression is a term used in maths that generally means to come up with a solution to an equation and if it is not possible then reduce it to a smaller equation by exchanging the variables with the given numerical values.
We can evaluate the given expression as follows:
Since r = 3 and w = -2, we can substitute r and w in the expression, r w-6, with 3 and -2 respectively.
r w - 6 = 3 (-2) - 6
3 (-2) - 6 = -6 -6 = -12.
Hence if we evaluate the expression r w-6, the result will be -12.
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What do you notice about the angle measures of complementary angles, supplementary angles, and vertical angles?
Answer:
1. The sum of the measures of complementary angles is 90°.
2. The sum of the measures of supplementary angles is 180°.
3. The measures of vertical angles are equal.
2/3 of a number is 12. What is 1/2 the number?
Answer:
Step-by-step explanation:
the number is 18, so half of that would be
if the chance of getting a disease is 20 out of 100, this would be the same as having how much of a percent chance of getting the disease?
If the chance of getting a disease is 20 out of 100, This would be the same as having a 20% chance of getting the disease
Define diseases?
A disease is a specific abnormal state that adversely affects an organism's structure or function on the whole or in part, and which is not immediately brought on by any external trauma. It's common knowledge that diseases are medical illnesses with recognizable indications and symptoms. A disease can be brought on by either internal dysfunctions or external sources like infections.
In humans, the term illness is frequently used to refer to any condition that results in suffering, dysfunction, anguish, social issues, or death for the person who is afflicted, as well as problems similar to these for those who come into touch with the person.
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HELPPPP MATH 20 pointssss
Answer:
first one if I'm not wrong
a) (+12) ÷ (+4)
c) (-18) ÷ (+9)
e) (+72) ÷ (-8)
g) (-14) ÷ (+1)
i) (-27) + (-3)
b) (-15) ÷ (-3)
d) (+81) ÷ (-9)
f) (-64 : (-8
h) (+54) ÷ (-6)
j (+32) + (+4)
Answer:
Hope this helps :)
a) (+12) ÷ (+4) = 3
c) (-18) ÷ (+9) = - 2
e) (+72) ÷ (-8) = - 9
g) (-14) ÷ (+1) = - 14
i) (-27) + (-3) = - 30
b) (-15) ÷ (-3) = 5
d) (+81) ÷ (-9) = - 9
f) (-64 : (-8) =
If the sign is +, then the answer is - 72.
If the sign is ÷, then the answer is positive 8.
If the sign is x, then the answer is positive 512.
If the sign is - , then the answer is - 56.
h) (+54) ÷ (-6) = - 9
j (+32) + (+4) = 36
please help me find this answer
PLEASE IM BEGGING
Answer: The length of the side is 14 inches
Step-by-step explanation: Using the formula V=(b^2xh):3
Input the numbers we are given: 196=(b^2x3):3 now calculate 196=(14^2x3):3 side b=14 inches
Kiara has 6 coins she puts the same number of coins in each of three envelopes how many coins does kiara put in each envelope
The total number of coins Kiara put in each envelope are 2.
According to the given question.
Total number of coins Kiara have = 6
Total number of envelopes Kiara have = 3
Since, we have to find the number of coins Kiara put in each envelope. So, for this we will divide total number of coins by total number of envelopes.
Therefore,
The total number of coins Kiara put in each envelope
= 6/3
= 2
Hence, the total number of coins Kiara put in each envelope are 2.
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What is the greatest commen factor of 338
Answer:
2
Step-by-step explanation:
During her visit to zoo, Ivy stops by the café and orders a chicken fajita taco and a juice. If she
pays for her order with a $10.00 bill, how much change will she receive? Show your work
Answer:
$4.7
Step-by-step explanation: