This is complementary angle
A language arts test is worth 100 points. There is a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question are there?
Answer: 3.8 should be your answer hope this helped
Step-by-step explanation:
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Charlie's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charlie $4.35 per pound, and type B coffee costs $5.80 per pound. This month, Charlie made 143 pounds of the blend, for a total cost of $713.40. How many pounds of type A coffee did he use
Answer:
A=80 pounds, B=63 pounds
Step-by-step explanation:
Cost of type A=$4.35 per pound
Cost of type B=$5.80 per pound
Cost of A+ B=$713.40
A+B=143 pounds
A=143-B
QaPa+QbPb=713.40
A*4.35 + B*5.80=713.40
4.35A+5.80B=713.40
Substitute A=143-B
4.35(143-B) + 5.80B=713.40
622.05 - 4.35B + 5.80B=713.40
1.45B=713.40-622.05
1.45B=91.35
B=91.35/1.45
=63
B=63
Recall,
A+B=143
A+63=143
A=143-63
=80
A=80 pounds, B=63 pounds
Evaluate 68 % of 948.37 m Give your answer rounded to 2 DP.
Answer:
644.89
Step-by-step explanation:
Answer:
644.89 m
Step-by-step explanation:
68 / 100 * 948.37 = 0.68 * 948.37 = 644.89 m (2 d.p.)
Find the unknown length x in the right triangle, to the nearest tenth.
D
26
F
Х
55
E
What is the length for x
Jonathan bought snacks for his team's practice. He bought a bag of oranges for $2. 66 and a 20-pack of juice bottles. The total cost before tax was $12. 6. How much was each bottle of juice?
Answer:
$0.50
Step-by-step explanation:
Total cost before tax = Cost of oranges + Cost of juice bottles
$12.6 = $2.66 + Cost of juice bottles
Cost of juice bottles = $12.6 - $2.66 = $9.94
There are 20 juice bottles in the pack, so to find the cost of each bottle, we divide the total cost of the juice bottles by the number of bottles:
Cost of each juice bottle = Cost of juice bottles / Number of juice bottles
Cost of each juice bottle = $9.94 / 20
Cost of each juice bottle = $0.497
Therefore, the cost of each juice bottle was $0.497, or approximately $0.50, before tax.
determine the domain and the range of the function .f = {(10,1 ),(17,-6),(45,1 ),(51,5 )}
The given function f, with the provided set of ordered pairs, has a domain of {10, 17, 45, 51} and a range of {-6, 1, 5}.
The domain of a function refers to the set of all possible input values or x-values for which the function is defined. In this case, the given set of ordered pairs determines the domain. Looking at the x-values in the set {10, 17, 45, 51}, these are the unique inputs for which the function f is defined. Hence, the domain of f is {10, 17, 45, 51}.
On the other hand, the range of a function refers to the set of all possible output values or y-values that the function can take. By examining the y-values in the set {-6, 1, 5}, we can observe the distinct outputs generated by the function f. Thus, the range of f is {-6, 1, 5}.
In summary, the domain of the function f is {10, 17, 45, 51}, and the range of f is {-6, 1, 5}.
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sum of the series:
13, 16, 19, ..., 301
how many numbers are in this series?
Answer:
97
Step-by-step explanation:
13,16,19,...,301
a=13
d=16-13=3
l=a+(n-1)d
301=13+(n-1)3
301-13=(n-1)3
(n-1)3=288
n-1=288/3=96
n=96+1=97
Answer:
92
Step-by-step explanation:
If the standard deviation of hole diameter exceeds 0.01 millimeters, there is an unacceptably high probability that the rivet will not fit. Suppose that in a sample of 15, the standard deviation is 0.008 millimeter. Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeter? Use α = 0.10.
The standard deviation of hole diameter is less than or equal to 0.01 millimeter.
The given hypothesis test is on the standard deviation of hole diameter. To check if there is strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeter or not, we can use the Chi-Square distribution.
The null hypothesis, H0, is the claim that the standard deviation is less than or equal to 0.01 millimeter. The alternative hypothesis, Ha, is the claim that the standard deviation is greater than 0.01 millimeter. We can use the following formula to calculate the chi-square statistic:
\(\chi^2 = (n - 1) \times s^2 / \sigma_0^2\)
where, n is sample size, s is sample standard deviation, σ0 is hypothesized standard deviation. The chi-square statistic is calculated as follows:
\(\chi^2 = (15 - 1) \times 0.008^2 / 0.01^2\)
= 1.44
The critical value of the Chi-Square distribution for α = 0.10 with 14 degrees of freedom is 22.362.So, we have:
χ2 < 22.362 (Reject the alternative hypothesis)
Thus, we reject the alternative hypothesis. There is no strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeter. Therefore, we can conclude that the standard deviation of hole diameter is less than or equal to 0.01 millimeter.
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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 121 kilograms. A
delivery of 6 large boxes and 2 small boxes has a total weight of 136 kilograms. How much does each type of box weigh?
Weight of each large box: [kilogram(s)
Weight of each small box: kilogram(s)
?
Answer:
136 yhdiby8sruygftdtuggdyubhAnswer:
Weight of each large box: 18.25kg
Weight of each small box: 13.25kg
Step-by-step explanation:
For this question, we have two unknowns, but we can solve them as we are given two equations.
If we use the variables 'L' for Large and 'S' for small, we an write out the information given to us as equations:
3L + 5S = 121
6L + 2S = 136
Now we can solve these simultaneous equations by multiplying one of them by a constant so that one of the variable co-efficients are the same so we can cancel them. We can see here that we can easily double the first equation which would result in both having 6L:
2(3L + 5S) = 2(121)
=> 6L+10S=242
Now that we have one term which is the same, we can subtract one equation from the other:
6L+ 10S = 242
- (6L + 2S = 136)
------------------------
=>0L + 8S = 106
Now we can solve for S:
8S/8 = 106/8
S = 13.25
And use this value of S to solve for L:
3L + 5(13.25) = 121
3L + 66.25 = 121
3L + 66.25 - 66.25 = 121 - 66.25
3L = 54.75
3L/3 = 54.75/3
L = 18.25
Hope this helped!
1. A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process. True or False
2. Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory. True or False
1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True
2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True
1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.
Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.
2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.
Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:
hygiene factors and motivating factors.
Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.
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A motorcycle maker, says that it expects to build 318,000 motorcycles this year, up from 291,500 last year. Find the percent of increase in production.
The percent of increase is ____%.
Sarah Walker's long-distance phone bills plummeted to an average of $22.90 a month from last year's monthly average of $40.10. What was the percent of decrease?
The percent of decrease is ____%.
The percent of increase in motorcycle production is approximately 9.75%, and the percent of decrease in Sarah Walker's long-distance phone bills is approximately 42.07%.
To find the percent increase in motorcycle production, we use the formula:
Percent Increase = (New Value - Old Value)/Old Value x 100%
Plugging in the given values, we get:
Percent Increase = (318000 - 291500)/291500 x 100% = 9.75%
Therefore, the percent of increase in motorcycle production is approximately 9.75%.
To find the percent decrease in Sarah Walker's phone bills, we use the formula:
Percent Decrease = (Old Value - New Value)/Old Value x 100%
Plugging in the given values, we get:
Percent Decrease = (40.10 - 22.90)/40.10 x 100% = 42.07%
Therefore, the percent of decrease in Sarah Walker's long-distance phone bills is approximately 42.07%.
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Ayla has 104 stuffed animals in her room. The ratio of teddy bears to cats is 5 to 3. How many teddy bears does she have?
Answer:
65 teddy bears
Step-by-step explanation:
Total stuffed animal = 104
Teddy bear : cats = 5 : 3
Total parts = 5+3 = 8
Number of teddy bears = \(\frac{5}{8}*104\)
= 5 * 13
= 65
Answer:
she has 65 teddy bears
Step-by-step explanation:
if she has 104 stuffed animals and the ratio is 5/3 then to get the awnser you need 5/8
5/8*104
you get 65
If m | n and the slope of line m is 3, what is the slope of line n?
Α. 1/3
B. -1/3
C. -3
D. 3
Answer:
D. 3
Step-by-step explanation:
The slopes of parallel lines are the same.
Derive the following cquation. β=
c
v
=
1−(
E
0
+K
E
0
)
2
Choose the best way to begin this derivation. We have E
2
=p
2
c
2
+E
0
2
=p
2
c
2
+m
2
c
4
. We have K+E=ε
0
=
1−β
2
.
E
. We have E=p
2
c
2
+E
0
=p
2
c
2
+mc
2
. We have K=E−E
0
=
1−rho
2
E
0
−E
0
. Rearrange to complete the proof. (Submit a file with a maximum size of 1 MB.)
We have derived the equation β = cv = 1 - (E₀ + KE₀)².
To derive the equation β = cv = 1 - (E₀ + KE₀)², we can begin with the given equations:
E² = p²c² + E₀²
K + E = ε₀ = 1 - β²
E = p²c² + E₀ = p²c² + mc²
K = E - E₀ = 1 - ρ²E₀² - E₀
We'll rearrange these equations to arrive at the desired equation.
Starting with equation 1, we have:
E² = p²c² + E₀²
From equation 3, we substitute E = p²c² + mc²:
(p²c² + mc²)² = p²c² + E₀²
Expanding and simplifying:
p⁴c⁴ + 2p²mc⁴ + m²c⁴ = p²c² + E₀²
Next, we focus on equation 4:
K = E - E₀ = 1 - ρ²E₀² - E₀
Substituting equation 1 into equation 4:
K = p²c² + E₀² - E₀ = 1 - ρ²E₀² - E₀
Now, we substitute equation 2 into equation 4:
K = 1 - β² - E₀
Substituting this value of K into our modified equation 4:
1 - β² - E₀ = p²c² + E₀² - E₀
Rearranging and simplifying:
β² = 1 - (E₀ + K E₀)²
Thus, we have derived the equation β = cv = 1 - (E₀ + KE₀)².
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What are the distinct features of:
1. Rational Function
2. Rational Equation
3. Rational Inequality
Answer:
What are the distinct features of:
1. Rational Function
2. Rational Equation
3. Rational Inequality
This is your question anwer below
Step-by-step explanation:
f(x) = 2/(x-3) is a rational function
4 = (3x^2 - 5x +2) / (x + 2) is a rational equation
2x - 7 < x + 1/(x - 2) is a rational inequality
An expression is rational in simplest form if it can be written as N/D where N and D have no common factors.
So 2/3 and (x-2)/x^2 and (3x^2 + 3x)/ (2x + 7) are all rational expressions
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12. Arrange the stages of municipal council election by writing 1-7 in the
correct place. (2 marks each)
Stages in municipal elections
Girst (1) to last (17)
People going to the polling station to
Councilors campaign for election.
The number of votes for each division
is counted.
Voters vote by secret ballot.
Candidates nominated by two main
political parties.
2. Jada fills her aquarium with water.
The graph shows the height of the water, in cm, in the aquarium as a function of time in minutes. Invent a story of how Jada fills the aquarium that fits the graph.
Answer:
Jada fills her aquarium with water at a constant rate of 5cm/minute for 2 minutes. She then stops the water from running for 1 minute. After that, she started to fill the aquarium at a constant rate of 10cm/minute for another 2 minutes. After 5 minutes, she reduces the water running at a rate of 5cm for 2 minutes. After 7 minutes, she turns off the water and the water is at 25cm.
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how has technology changed our personal lives? Not or cell phones, something real.
Through the inventions of people throughout history, our everyday life has been revolutionized. For example, the lightbulb by Thomas Edison has made our lives easier because we no longer need to use candles as a main light source. Thomas Edison also invent the phonograph, which was one of the earliest inventions that revolutionized entertain in our modern time.
Step-by-step explanation:
You live in a small apartment. The bedroom is 10 by 12 feet. Calculate the area of your bedroom.
a 100 sq.ft
C. 80 sq.ft
b. 120 sq.ft
d. 70 sq.ft
Please select the best answer from the choices provided.
Answer:
The is answer is 120sq. ft.
Step-by-step explanation:
To find the area mulitply 10 by 12 and you get 120.
Ocean waves crash on the beach at a
velocity of 4.4 m/s. If the distance
between the crest of each wave is 4m,
find the frequency of the waves.
Answer:
f = 1.1 Hz
Step-by-step explanation:
Given that,
The velocity of an ocean wave, v = 4.4 m/s
The distance between the crest of each wave is 4 m.
We need to find the frequency of the waves.
The distance between the crest of a wave is called the wavelength of a wave.
The relation between the frequency, wavelength and the velocity of a wave is given by :
\(v=f\lambda\\\\f=\dfrac{v}{\lambda}\\\\f=\dfrac{4.4}{4}\\\\f=1.1\ Hz\)
So, the frequency of the waves is 1.1 Hz.
determine the quotient of 1 2/3 divided by 4/5
First turn any mixed numbers into improper fractions. 1 3/4 would be 7/4. Becuase you multiply the whole number by the denominator and then add the numerator.
So now you have 7/4 divided by 2/5. Whenever you divide, you flip the 2nd fraction upside down... known as the reciprocal. And after that you multiply the first number by the upside down 2nd number.
So now you have 7/4 X 5/2. When multiplying, just multiply the numerators across and the denominators across. As your answer, you get 35/8 or 4 3/8.
The quotient obtained by dividing two given fractions is 25/12.
The given fractions are \(1\frac{2}{3}\) and 4/5.
What is a quotient of numbers?In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
Here, the mixed fraction \(1\frac{2}{3}\) can be written as 5/3.
Now, 5/3 ÷ 4/5
= 5/3 × 5/4
= 25/12
Hence, the quotient obtained by dividing two given fractions is 25/12.
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Order these numbers from largest at the top, to smallest at the bottom.
1.1.57x10^-4
2.4.5x10^3
3.1.3x10^1
4.987
reorder answers
Answer:
2.45x10^3
3.13x10^1
4.987
1.157x10^-4
Step-by-step explanation:
I have assumed that 1.1.57 = 1.157 and the same with the second and third numbers.
3.13 * 10^1 = 31.3
1.157 * 10^-4 = 0.0001157
2.45 * 10^3 = 2450.
which type of triangle will always have at least 1-fold reflectional symmetry?
Answer:
isosceles triangle
Step-by-step explanation:
Answer:
Isosceles triangle
Step-by-step explanation:
A scalene triangle is a triangle with no lines of symmetry while an isosceles triangle has at least one line of symmetry and an equilateral triangle has three lines of symmetry.
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Let Y1,...,Yn f(y;py) where My = EY, and X1, ..., Xm * g(x; pz) where Mz = EX; be independent random samples and assume the population variances are not equal. Write the formulae for:
• a large-sample interval for fix – My;
• a small-sample interval for Mix My:
Where tn-1(1-α/2) is the critical value of the t-distribution with (n-1) degrees of freedom at the 1 - α/2 confidence level, Sy is the sample standard deviation of Y, and sy is the sample standard error of Y.
Standard deviation is a statistical measure that calculates the amount of variation or dispersion of a set of data values from its mean or average. Standard deviation is commonly used in statistics to measure the amount of variation or dispersion of a set of data values from their mean or average.
For a large-sample interval for σy – µy, the formula is:
σy – µy = tn-1(1-α/2) * Sy / √n
For a small-sample interval for µy – σy, the formula is:
µy – σy = tn-1(1-α/2) * sy / √n
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Rewrite the expression as a simplified expression containing one term.
Answer:
-(cos α)/(sin α)
= -cot α
Step-by-step explanation:
use trigonometric identities
Geometry. Math nation section 3
∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information
Two angles are given.
∠g = (2x-90)°
∠h = (180-2x)°
We have to find the statement which is true about the angles g and h.
If both angles are greater than zero.
Complementary angles add up to 90 degrees
i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.
Substituting the given values:
∠g + ∠h
= (2x-90)° + (180-2x)° = 90°
Thus, ∠g and ∠h are complementary angles.
and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h are acute.
So the statement ∠g and ∠h are acute angles is also true
Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements
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One health club charges a $44 sign-up fee and $30 per month. Another health club charges a $99 sign-up fee and $25 per month. What number of months will the cost be the same? Write an equation or inequality then solve it. Provide work
Step-by-step explanation:
Let x be the number of months for the 2 health clubs to have the same cost.
We have $44 + $30x = $99 + $25x.
Therefore $5x = $55 and x = 11.
The number of months is 11.
8w – 16-20 + 7w - 11y - 4y
Can someone show me how to do this step by step?
Answer:
-44
Step-by-step explanation:
Answer:
15w - 15y - 36
Step-by-step explanation:
Combine like terms
In this case the only two terms would be numbers without variable and numbers with the variable w
First lets combine the numbers with no variable which are -16 and -20. you subtract these two -16 - 20 = -36 and get -36
Now lets combine like terms for w, it doesn't matter which order you go in exactly but in the case I will do
1. combine 8w and 7w, since these are both positive you will add the together
8w + 7w = 15w
2. Now combine -11y and -4y, since these are both negative you will subtract them and get -15y
Miguel, com apenas R$ 12,00, comprou maçã e laranja em uma feira. A unidade da maçã custou R$2,00 e da laranja, R$ 1,00.Com o dinheiro que possuía, a maior quantidade de frutas que ele pode ter comprado é *
(A) 6
(B) 8
(C) 10
(D) 11
(E) 12
Answer:
(D) 11
Step-by-step explanation:
maca e laranja significa que ele precisa comprar pelo menos 1 de cada, a maca e mais cara ent compre 1 e o resto de laranja, isso daria 11 frutas.
1: 1. Jonathan is building a chicken farm in 2023. The initial population of his farm is 2850 chickens. The population of his chicken farm grows at a rate of 3% annually.
(a) Write an exponential equation that can be used model the population of the farm t years after 2023.
(b) Using this equation, estimate the population of the chicken farm in 2045. Please round to the nearest chicken (no partial chickens, please!)
2: Please answer parts a-c:
Sketch the graph of the function f(x)=2^x.
If f(x) is translated 4 units down, what is the equation of the new function g(x)?
Graph the transformed function g(x) on the same grid.
**Both functions must be present on your graph.
3: 3. Alyssa started a savings account with an initial deposit of $1600. The account earns 4.12% interest compounded quarterly.
(a) Write an exponential equation to represent the amount of money in the account after t years.
(b) Using this equation, calculate how much money will be in the account after 7 years, assuming Alyssa makes no additional deposits or withdrawals. (Please round to the nearest cent)
after 7 years, the amount of money in the account will be $2197.68. According to the question.
How to solve the question?
1:
(a) The exponential equation that can be used to model the population of the chicken farm t years after 2023 is:
P(t) = 2850 x 1.03 in power t
where P(t) is the population of the chicken farm after t years.
(b) To estimate the population of the chicken farm in 2045, we need to find P(22), as 2045 - 2023 = 22.
P(22) = 2850 x 1.03²²
= 4405.56 (rounded to the nearest chicken)
Therefore, the estimated population of the chicken farm in 2045 is 4406.
2:
(a) The graph of the function f(x) = 2ˣ is an increasing exponential curve that passes through the point (0,1) and has a vertical asymptote at x = -∞.
(b) To find the equation of the new function g(x), which is the transformation of f(x) 4 units down, we need to subtract 4 from the function:
g(x) = f(x) - 4
= 2ˣ - 4
(c) The graph of the transformed function g(x) = 2ˣ - 4 is the same as the graph of f(x) = 2ˣ but shifted 4 units downward.
3:
(a) The exponential equation that represents the amount of money in Alyssa's savings account after t years, assuming no additional deposits or withdrawals, is:
A(t) = 1600 x (1 + 0.0412/4) in power (4t)
where A(t) is the amount of money in the account after t years.
(b) To calculate how much money will be in the account after 7 years, we need to find A(7):
A(7) = 1600 x (1 + 0.0412/4)²⁸
= 2197.68 (rounded to the nearest cent)
Therefore, after 7 years, the amount of money in the account will be $2197.68.
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