I graphed this line below.
Start with an open dot on 7.
The reason we use an open dot is because x
does not equal 7, it is only greater than 7.
So from your open dot, draw an arrow to the right
to represent all numbers greater than 7.
Finally, state your answer in set notation if possible.
It is read as {x: x > 7}.
Ahmad's Coffee Shop makes a blend that is a mixture of coffee types A and B. In one bag of the blend, there are 3 kilograms of type A. Four bags of the blend are a total of 36 kilograms. How many kilograms of type B are there in one bag?
Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 3 ,4 , and 36 . Let represent the number of kilograms of type B in one bag.
I need the answer asap please! by 3:00pm
Answer:
The appropriate form for this problem is:
(Amount of Type A per bag) + (Amount of Type B per bag) = Total weight per bag
Using the given information, we can fill in the blanks:
(3 kg) + (___ kg) = (36 kg) ÷ (4 bags)
Simplifying the right side:
(36 kg) ÷ (4 bags) = 9 kg/bag
Substituting back into the equation:
3 kg + (___ kg) = 9 kg/bag
Solving for the blank:
___ kg = 9 kg/bag - 3 kg
___ kg = 6 kg/bag
Therefore, there are 6 kilograms of type B in one bag of the blend.
What is the solution to 5(2n+4)=−2(4n−1) ?
Answer: n= -1
Step-by-step explanation:
simplify by distributing:
5(2n+4)=-2(4n-1)
10n+20=-8n+2
add 8n to both sides:
10n+20=-8n+2
+8n +8n
————————
18n+20=2
subtract 20 from both sides
18n+20=2
-20 -20
————————
18n=-18
divide both sides by 18:
18n/18 = -18/18
n = -1
question is complete!
which of the following are binomials
A polynomial with two terms is called a binomial. For instance, the binomials x 2 x -2 x2 and x 6 x -6 x6 both exist.
How do you identify binomials?A single-term expression is referred to as a monomial, a two-term expression as a binomial, and a three-term expression as a trinomial. An expression's name is just its number of terms if it has more than three terms.
What is difference between monomial and binomial?Monomials have one term, binomials have two, trinomials have three, and polynomials have one or more terms.
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What is the slope of the line in this graph?
A) -5/3
B) -3/5
C) 3/5
D) 5/3
Answer:
A)
Step-by-step explanation:
rise/run
down 5, left 3
round 80,531 to nearest thousand
Answer:
81,000
Step-by-step explanation:
5 or grrater raise the score. since we are looking for thousands you will use the five in the hundred spot
Answer:
The answer is 81,000 Because it's not higher than 81,555
The data given represents the height of basketball players, in inches, on two different girls' teams.
Super Stars
66 66 66
63 63 63
65 65 65
64 64 64
58 58 58
Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60
Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Champs, with a median of 67 inches
The Super Stars, with a mean of about 60.8 inches
The Champs, with a mean of about 66.4 inches
The Super Stars, with a median of 63 inches
Using the correct measure of center, the team that typically has the tallest players is C. The Champs, with a mean of about 66.4 inches.
What are the measures of center?The three typical measures of center are the mean, the median, and the mode.
The mean is the average value, obtained as the quotient of the total value of the data set divided by the number of items.
The median is the middle value of the data set arranged in descending or ascending order.
The mode refers to the value that occurs most in the data set.
Super Stars66 66 66 = 198
63 63 63 = 189
65 65 65 = 195
64 64 64 = 192
58 58 58 = 174
Total = 948
Mean = 63.2 (948 ÷ 15)
Median = 64 (58, 58, 58, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 66)
Champs62 69 65 = 196
68 60 70 = 198
70 58 67 = 195
66 75 70 = 211
69 67 60 = 196
Total = 996
Mean = 66.4 (996 ÷ 15)
Median = 67 (58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75)
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PLEASE HELP!!! due today!!
Answer:
The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
Step-by-step explanation:
We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:
P = 7200/D
To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
So the distance between supports needed to carry 1600 lb is 4.5 feet.
To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
What is the solution to the system of equations graphed below?
Translate the following conic from standard form to graphing form
x ^ 2 + 2x + u ^ 2 - 8y + 1 = 0
Answer:
To convert the given conic equation from standard form to graphing form (also known as the vertex form), we need to complete the square for both x and y terms.
Given equation: x^2 + 2x + u^2 - 8y + 1 = 0
First, let's complete the square for the x terms:
x^2 + 2x can be rewritten as (x + 1)^2 - 1, since (x + 1)^2 expands to x^2 + 2x + 1.
Now we need to complete the square for the y terms:
Since we only have -8y, let's rewrite it as -8(y - 1), so that we have a perfect square in y.
Substitute the transformed x and y terms back into the equation:
(x + 1)^2 - 1 + u^2 - 8(y - 1) + 1 = 0
Simplify the equation:
(x + 1)^2 + u^2 - 8(y - 1) = 0
Now, we have the conic equation in graphing (vertex) form:
(x + 1)^2 + u^2 - 8(y - 1) = 0
Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
The taxi ride was 7 miles
How to calculate the number of miles ?Mia took a taxi from her house to the airport
The taxi charged a pick up fee of $1.30
They also charged $4.25 per mile
The total fare was $31.05
The number of miles can be calculated as follows
31.05 - 1.30 = 4.25x
29.75= 4.25x
Divide both sides by the coefficient of x which is 4.25
29.75/4.25= 4.25x/4.25
x= 7
Hence the taxi ride was 7 miles
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Show ur work and check it
Answer:
k=2
Step-by-step explanation:
6(7k-10)=24
6(7k-10)/6=24/6
7k-10=4
7k-10+10=4+10
7k=14
7k/7=14/7
k=2
Check:
6(7k-10)=24
6(7(2)-10)=24
6(14-10)=24
6(4)=24
24=24
Solution works
Answer:
k=2
Step-by-step explanation:
Sorry if it looks bad I did it in the car xd. You would multiple 6 with 7 and you would get 42 then you would multiply 6 with -10 and you would get -60 then you'd bring down the = 24 and it would look like 42k-60=24 then add 60 to 24 and you'd get 84 then you'd divide 84 by 42 and get 2 so then you would get k=2
Find X using the picture below.
Answer: 37.5
Step-by-step explanation:
75 - 180 = 105
105 degrees = the obtuse angle, bottom triangle.
75/2= 37.5 (since both sides of the bottom triangle are equal angles)
The refrigerator part of a refrigerator freezer has a volume of 27 cubic feet. The freezer part is 2 feet high 2 feet deep and 3 feet wide What is the total volume of the refrigerator freezer
PLS HELP
Answer:
39 cubic feetStep-by-step explanation:
The volume of the freezer part:
2*2*3 = 12 cubic feetTotal volume is:
27 + 12 = 39 cubic feetWhat is the domain ?
The domain of the given set of functions is (Alex, Alesia, Bob, Yolanda, Maria , Elvis)
What is Domain ?The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.
The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A-> B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.
The domain of the given set of functions is (Alex, Alesia, Bob, Yolanda, Maria , Elvis)
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2 cot^2t sin t - cot^2t = 0
2 cot²(t ) sin(t ) - cot²(t ) = 0
cot²(t ) (2 sin(t ) - 1) = 0
cot²(t ) = 0 or 2 sin(t ) - 1 = 0
cot(t ) = 0 or sin(t ) = 1/2
cos(t ) / sin(t ) = 0 or sin(t ) = 1/2
cos(t ) = 0 or sin(t ) = 1/2
[t = cos⁻¹(0) + 2nπ or t = cos⁻¹(0) - π + 2nπ]
or [t = sin⁻¹(1/2) + 2nπ or t = π - sin⁻¹(1/2) + 2nπ]
(where n is any integer)
t = π/2 + 2nπ or t = -π/2 + 2nπ or t = π/6 + 2nπ or t = 5π/6 + 2nπ
Note that the first two families of solutions overlap and can be condensed, so that
t = π/2 + nπ or t = π/6 + 2nπ or t = 5π/6 + 2nπ
If a right circular cone is intersected by a plane only at its vertex, as in the picture below, what shape is produced?
Answer:
A right circular cone can be intersected by some plane to produce circle, ellipse, hyperbola depending upon where the plane is crossing the cone.
But if the plane crosses at the vertex. Just one point is crossed.
Answer:
a point hope this helps
what is the volume of a right triangular pyramid with base is 3 m on each side and whose altitude is 4 m
The volume of a pyramid is:
\(V=\frac{1}{3}Bh\)where B is the area of the base and h is the height.
In this case we have that:
\(B=3\cdot3=9\)Then:
\(V=\frac{1}{3}(9)(4)=12\)Therefore the volume is 12 cubic meter.
please help me answer this
Sequence 1: 13, 16, 19, 22, 25, Sequence 2: 15, 13, 11, 9, 7 and Ordered Pair: (13, 15), (16, 13), (19, 11), (22, 9), (25, 7).
what is sequence?
An ordered list of numbers is a sequence. The three dots indicate that the established pattern should move forward.
A. Sequence 1: 13, 16, 19, 22, 25
Sequence 2: 15, 13, 11, 9, 7
Ordered Pair: (13, 15), (16, 13), (19, 11), (22, 9), (25, 7)
B. Sequence 1: 1, 5, 17, 53, 161
Sequence 2: 6, 15, 33, 69, 141
Ordered Pair: (1, 6), (5, 15), (17, 33), (53, 69), (161, 141)
C. Input (x) | Output
1 | 17, 2 | 19, 3 | 21, 4 | 23
D. Input (x) | Output
1 | 30, 2 | 15, 3 | 7.5
To find the outputs, we use the formula: output = 60 ÷ 2x.
For x = 1, output = 60 ÷ 2(1) = 30
For x = 2, output = 60 ÷ 2(2) = 15
For x = 3, output = 60 ÷ 2(3) = 7.5
E. Input (x) | Output
1 | 23, 2 | 30, 3 | 37, 14 | 102, 15 | 109, 16 | 116, 27 | 205, 70 | 498
To find the outputs, we use the formula: output = 16 + 7x.
For x = 1, output = 16 + 7(1) = 23
For x = 2, output = 16 + 7(2) = 30
For x = 3, output = 16 + 7(3) = 37
For x = 14, output = 16 + 7(14) = 102
For x = 15, output = 16 + 7(15) = 109
For x = 16, output = 16 + 7(16) = 116
For x = 27, output = 16 + 7(27) = 205
For x = 70, output = 16 + 7(70) = 498
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1) Tanx + Tan2x + Tan3x = Tanx.Tan2x.Tan3x
3
Answer:
\(x = \frac{2}{3}n\pi\)
Step-by-step explanation:
Given
\(Tanx + Tan2x + Tan3x = Tanx.Tan2x.Tan3x\)
Required
Find x
Equate the given expression to 0
\(Tan\ x + Tan\ 2x + Tan\ 3x - Tan\ x\ .Tan\ 2x\ .Tan\ 3x = 0\)
Factorize:
\(Tan\ x + Tan\ 2x + Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) = 0\)
Subtract both \(Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)\) from both sides
\(Tan\ x + Tan\ 2x + Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) = 0 - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)\)
\(Tan\ x + Tan\ 2x = - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)\)
Divide both sides by: \((1 - Tan\ x\ .Tan\ 2x)\)
\(\frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) } = - Tan\ 3x\)
In trigonometry:
\(Tan(3x) = Tan(x + 2x) = \frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) }\)
So,
\(\frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) } = - Tan\ 3x\)
is equivalent to:
\(Tan\ 3x = - Tan\ 3x\)
Collect Like Terms
\(Tan\ 3x+Tan\ 3x = 0\)
\(2Tan\ 3x = 0\)
Divide through by 2
\(Tan\ 3x = 0\)
In trigonometry:
If
\(Tan\ x= 0\) ,
Then \(x=2n\pi\)
Where \(n \ge 0\)
So, in this case:
\(3x = 2n\pi\)
\(x = \frac{2}{3}n\pi\)
Why do we choose 5% as a risk of making error and not 1%
In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.
The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.
In general, the choice of significance level depends on the specific application and context of the statistical analysis.
The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.
The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.
A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.
A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.
For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.
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I NEED ANSWER ASAP PLEASE WITH WORK PLEASE AND TY!!!!!! In the image the question is 32!! What is the factored form of x2 + 12x - 64?
A (x-4)(x + 16)
B. (x-2)(x + 32)
C. (x + 4)(x - 16)
D. (x-6)(x + 18)
Answer:
A) (x-4)(x+16)
Step-by-step explanation:
\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)
According to the graph of H(w) below, what happens when w gets very large?H)5.6.20.00)A. H(w) gets very large.B. H(w) approaches a vertical asymptote.C. H(w) equals zero.D. H(w) gets very smallSUBMIT
Considering the graph H(w),
As w gets larger, H(w) continues to approach a horizontal asymptote.
Hence, H(w) gets very small.
Therefore, the correct option is option D
Awnser pls.........................................
Alma pays $26.88 each week for gas and $24.95 every three months to change the oil in her car. how much does Alma pay in total for these every year?
Answer:
1,497.06
Step-by-step explanation:
1,397.26 in gas, cuz 52 weeks in a year (sorry if I multiplied wrong), and $99.80 for oil, cuz 12 months in a year. So the total is 1,497.06
Answer:
$1497.56
Step-by-step explanation:
There are 52 weeks in a year.
$26.88 * 52 = $1397.76
Alma pays $24.95 every 3 months on oil so she does this 4 times a year.
$24.95 * 4 = $99.8
$1397.76 + $99.8 = $1497.56
Solve for y
3x = 5у - ху
Answer:
yo i think the answer is y=5 but not sure bro.
Step-by-step explanation:
Please answer ASAP I will brainlist
(a) The amount for total expenditures in 2010 was about $160.3 billion.
(b) The first full year in which expenditures exceeded $108 billion was 2010.
What is an exponential function?In Mathematics and Geometry, an exponential function can be represented by using this mathematical equation:
f(x) = a(b)^x
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, common ratio, decay rate, or growth rate.Based on the information provided above, the total expenditures on benefits (in billions of dollars) can be modeled by the following exponential function;
\(h(x) = 23.4(1.08)^x\)
Part a.
x = 5 + (2015 - 1995)
x = 25 years.
Therefore, the amount for total expenditures in 2015 is given by:
\(h(25) = 23.4(1.08)^{25}\)
h(25) = 160.3 billion.
Part b.
For the first full year in which the total expenditures exceeded $110 billion, we have:
\(110= 23.4(1.08)^x\\\\\frac{110}{23.4} =1.08^x\)
By taking the natural log (ln) of both sides of the equation, we have:
x = ln(4.7008547008547008547008547008547)/ln(1.08)
x = 1.5477443434287605/0.0769610411361284
x = 20.12 ≈ 20 years
First full year = (20 - 5) + 1995
First full year = 2010.
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Complete Question:
The total expenditures on benefits (in billions of dollars) can be approximated by the function \(h(x) = 23.4(1.08)^x\), where x = 5 corresponds to the year 1995
(a) What was the amount for total expenditures in 2015?
(b) What was the first full year in which expenditures exceeded $110 billion?
What is the area of the triangle below?
8 in.
17 in.
Answer:
68
Step-by-step explanation:
Answer:
68 In
8*17- now, this would give you the area of a rectangle or square. but, since this is half of a rectangle or square, you divide that answer in half, giving you your final answer of 68 square inches as the area
Step-by-step explanation:
Refer to the given terms . A pattern defines the relationship between the first two terms . Determine the relationship and identify the missing term of the second pair , such that both the pairs are analogous . AZP : ZAR :: TXK :
The missing term in the second pair is YUL.
To determine the relationship between the first two terms, let's analyze the given pattern: AZP : ZAR.
If we look closely, we can observe that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
So, applying the same pattern to the second pair (TXK), we need to shift each letter one position forward in the alphabet:
T + 1 = U
X + 1 = Y
K + 1 = L
Therefore, the missing term in the second pair is YUL.
The analogy between the pairs is that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
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Evaluate a=5 and y= -7 for y-2a
Answer: -17
Step-by-step explanation:
y - 2a
= -7 - 2(5)
= -7 - 10
= -17
Find the difference between the actual quotient and the estimated quotient of 54,114÷29 . (Dividend is rounded off to nearest thousand and divisor to nearest ten)
The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.
To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.
Actual quotient:
Dividing 54,114 by 29, we get:
54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)
Estimated quotient:
Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:
54,000 ÷ 30 = 1,800
Difference between actual and estimated quotient:
Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379
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