Answer:
B. -5 ≤ x ≤ 7.
Step-by-step explanation:
Al; x values greater or equal to -5 and less than or equal to 7.
The filled circles mean these x values are included in the domain.
what is y=80.9x-1011.86 in standard form?
Answer:
50593
Step-by-step explanation:
Plants are sold in three different sizes of tray.
A small tray of 10 plants costs £2.50
A medium tray of 40 plants costs £8.40
A large tray of 90 plants costs £12.60
Which size tray of plants is the best value for money?
The size tray of plants which is the best value for money is large tray.
Which size tray of plants is the best value for money?A small tray of 10 plants costs £2.50
Cost per unit = Total cost / number of plants
= £2.50 / 10 plants
= £0.25 per plant
A medium tray of 40 plants costs £8.40
Cost per unit = Total cost / number of plants
= £8.40 / 40 plants
= £0.21 per plant
A large tray of 90 plants costs £12.60
Cost per unit = Total cost / number of plants
= £12.60 / 90 plants
= £0.14 per plant
Hence, the large tray of 90 plants costs £12.60 is the best buy for your money.
Read more on best buy:
https://brainly.com/question/11867723
#SPJ1
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below.
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36 = 3 (22 + 12)
What statement best describes Gary’s error?
Gary did not use correct factors for 66 in the equation.
Gary did not use correct factors for 36 in the equation.
Gary did not use two equivalent expressions in the equation.
Gary did not use the greatest common factor in the equation.
answer this question in 5 minutes and ill give you the brainlyest and 50 points also please still answer even after the 5 minutes
The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.
Greatest common factorThis is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.
Gary's work:
66 + 36
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36
= 3 (22 + 12)
Gary did not use the greatest common factor in the equation.
The correct answer:
The greatest common factor of 66 and 36 is 666 + 36
= 6(11 + 6)
Therefore, Gary did not use the greatest common factor in the equation.
Learn more about greatest common factor:
https://brainly.com/question/219464
#SPJ1
URGENT
Solve the following system of equations and the solution method.
Y=5x-27
2x+3y=4
please tis is urgent im cryign and need help please answer and explanation pleae WORHT SOME GOOD POINTS
Answer:
(5, -2)
Step-by-step explanation:
Use substitution
Y=5x-27 Put this equation into the place of y in the second one.
2x+3y=4
2x + 3(5x - 27) = 4 then solve for x
2x + 15x - 81 = 4
17x - 81 = 4
17x = 85
x = 5
Then put the value of x back into one of the equations and solve for y
y = 5(5) - 27
y = 25 - 27
y = -2
Samantha spent 1/6 of her money on candy and 3/4 of her money on a movie ticket. What fraction of Samantha's money has been spent?
Answer:
11/12
Step-by-step explanation:
Write the equation in slope and intercept form Slope 1/5 and y-intercept (0,-5)
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
From the informationgiven,
slope = m = 1/5
The y intercept is the values of y when x is 0. When x = 0, y = - 5
Thus, c = - 5
By substituting m = 1/5 and c = - 5 into the equation,
the equation of the line in slope intercept form is
y = x/5 - 5
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
For similar question on probability.
https://brainly.com/question/7965468
#SPJ8
What is the area of the right way to go with a height of 6 1/4 yards and a base of 23
As a result, the right triangle's area is 71.875 square yards.
WHO DEFINES A RIGHT TRIANGLE?A triangle is considered to be correct if one of its angles is 90 degrees. The hypotenuse and legs are terms used to describe the two sides that are not the correct angle.
A basic mathematical theorem that has to do with right triangles is the Pythagorean theorem. According to this rule, the square of a right triangle's hypotenuse is equal to the sum of its other two sides' squares. With those words:
a² + b² = c²
where the triangle's legs are measured by letters a, b, and c, and the hypotenuse is measured by letter c.
Geometry, trigonometry, and physics are just a few of the fields in mathematics and science where right triangles are crucial.
The following formula can be used to determine the area of a right triangle:
(Base * Height) / 2 = Area
In this instance, the height is 6 1/4 yards, and the base is 23 yards. The height must be converted to yards:
25/4 yards times 6 1/4 yards
Now, we can enter these values as substitutes in the formula:
Area is equal to (23 × 25/4)/2
Area is (575/4)/2
Area is (575/8), = 71.875 square yards.
To know more about right triangle visit:
brainly.com/question/6322314
#SPJ1
The degree of the term - 2x² is:
The degree of the term -3 is:
The degree of the term 4x6 is:
The degree of the term - 6x7 is:
The degree of the polynomial -2x - 3+4x6 - 6x7 is:
Answer:
degree of -2x^4 is 4
degree of -3 is 0
degree of 4x^6 is 6
degree of -6x^7 is 7
degree of the polynomial 17
Step-by-step explanation:
the degree of a term is the exponent of the variable. so for the terms, just write down the exponent of X. since -3 does not have a variable, it has a degree of 0. the degree of a polynomial is the sum of the exponents on all variables so 4+6+7=17.
the semaphore alphabet is a way to use flags to signal messages. here’s how to signal the letter Q
Answer:
Hello your question is incomplete attached below is a complete question
Your question is not precise but i will provide a general answer that will help you answer your question precisely
answer: hand showing the letter R will have to be rotated anti-clockwise by 135° in order to perform Z to J
Step-by-step explanation:
From the attachment below the hand showing the letter R will have to be rotated anti-clockwise by 135° in order to perform Z to J
What is the measure of 23, in degrees, in the figure shown? 30° 137° 3
Answer:
73°
Step-by-step explanation:
This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.
The triangle has two angles implied, 30 degrees and (180-137) degrees.
(180 - 137) = 43 degrees
Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.
180 - 43 - 30 = 107
The angle with a measure of 107 degrees and angle 3 are supplementary
180 - 107 = 73 degrees
Answer:73.4° Fahrenheit.
Step-by-step explanation:
Can you please find and solve the unknown variable.
The value of x is; x = 3.14
Here, we have,
from the given diagram, we get,
there is a right angle triangle.
we have to find the value of x.
we know that,
Let the angle be θ , such that
cos θ = base / hypotenuse
here, we get,
cos 17 = 3/x
so, we have,
0.956 = 3/x
so, x = 3.14
Hence, The value of x is;x = 3.14
To learn more about trigonometric relations click :
brainly.com/question/14450671
#SPJ1
Find an equation for the graph
Answer:
y=6^x+0.612 - 4
Step-by-step explanation:
x = -4 ---> horizontal asymptote
m = 6 ---> use points (0, -1) and (1, 5)
Parent function of the graph: \(y=b^x\)
Our equation: \(y=6^x\)
Add alterations:
Reflections = N/AVertical & horizontal shifts = down 4Vertical & horizontal stretches = left approx 0.612Final equation: y=6^x+0.612 - 4
X squared minus 14 minus 4x
The factor form of the given expression is \(x^2 - 14 - 4x = (x - 4)(x - 14).\)
To factor the expression x^2 - 14 - 4x, we can use the technique of grouping.
First, we can rearrange the terms as:
x^2 - 4x - 14
Next, we can factor out a common factor of x from the first two terms:
x(x - 4) - 14
Then, we can factor out a negative 1 from the last two terms:
x(x - 4) - 1(14)
Finally, we can write the expression as the product of two binomials:
(x - 4)(x - 14)
Therefore, the factored form of x^2 - 14 - 4x is (x - 4)(x - 14).
For more details regarding factorization, visit:
https://brainly.com/question/14549998
#SPJ1
An airplane compartment can hold thirty-six pieces of luggage. If a small plane had sixteen compartments, how many pieces of luggage could they hold
Consider the basis B of R^2 consisting of vectors [5 -6] and [-7 2]. Find x in R^2 whose coordinate vector relative to the basis B is [x]_B = [5 4].
As a result, the vector x whose coordinate vector relative to the basis B is [5 4] in R² is (45/11, -54/11).
What is vector?A vector is a matrix that has only one row or one column. A row vector is a matrix with only one row. Example Because it only contains one row, the matrix is a row vector. A column vector is a matrix with only one column. A vector is a quantity linear array. A matrix is a two-dimensional array of values. Tensors are three-dimensional and higher-dimensional arrays that exist. A matrix can be thought of as a sequence of column vectors, but it can also be thought of as a sequence of row vectors; both interpretations are valid.
Here,
To find the vector x in R² whose coordinate vector relative to the basis B is [5 4], we need to express the vector x as a linear combination of the basis vectors [5 -6] and [-7 2].
Using the formula [x]_B = [5 4] = a[5 -6] + b[-7 2], where a and b are scalars, we can solve for a and b:
5 = 5a - 6b
4 = -7a + 2b
Solving for a and b using the system of equations:
a = 9/11
b = 14/11
So, x = 9/11 [5 -6] + 14/11 [-7 2] = (45/11, -54/11).
So, the vector x whose coordinate vector relative to the basis B is [5 4] is (45/11, -54/11) in R².
To know more about vector,
https://brainly.com/question/30202103
#SPJ4
Solve the quadratic equation by using a numeric approach.
0.02x squared + 0.5x - 4 = 0
a. x = 1.3 and x = -23.2
c. x = 5.6 and x = -32.3
b. x = 2.8 and x = -20.5
d. x = 6.3 and x = -31.3
The solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Given the quadratic function expressed as;
0.02x²+ 0.5x - 4 = 0
Multiply through by 100 to have;
2x² + 50x - 400 = 0
Using the general formula to solve:
x = -50±√2500-4(2)(-400)/2(2)
x = -50±√2500+3200/4
x = -50±75.49/4
x = -31.3 or 6.3
Hence the solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Learn more on quadratic function here: https://brainly.com/question/25841119
Find the value of z. Write your answer as a decimal number.
I think it’s 7.2! Don’t know though
please give me the answer
1 -10
2 -8
3 -2
4 -1
answer this guys i will give brainliest! have a good day !!!
The ratios are;
Sin θ = 5/6
Cos θ = √11/6
Tan θ = 5√11/11
Sec θ = 6√11/11
Cosec θ = 6/5
Cot θ = √11/5
What are the six trigonometric ratios?These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides
We can see that the hypotenuse is obtained from;
x =√\((10)^2 + (2\sqrt{} 11)^2\)
x = √100 + 44
x = 12
Then;
Sin θ = 10/12 = 5/6
Cos θ = 2√11/12
= √11/6
Tan θ = 10/2√11
= 20√11/44
= 5√11/11
Sec θ = 1/Cos θ
= 6/√11
= 6√11/11
Cosec θ = 1/Sin
θ = 6/5
Cot θ = 1/tan θ
= 11/ 5√11
= 55√11/275
= √11/5
Sinβ = 2√11/12
= √11/6
Cos β = 10/12
= 5/6
Tan β = 2√11/10
= √11/5
Sec β = 6/5
Cosec β = 6√11/11
Cot β = 5√11/11
Learn more about trigonometric ratios:https://brainly.com/question/23130410
#SPJ1
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
The volume of the cone is 12π or 37.70 cm²
What is a Cone?A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex.
The volume of a cone is given by the equation
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
Given data ,
Let the volume of the cone be represented as V
Now , the equation will be
Let the length of the cone be S = 5 cm
Let the height of the cone be = H
Let the radius of the cone be R = 3 cm
From the Pythagoras theorem , S² = H² + R²
So, substituting the values in the equation , we get
Height of the cone H = √5² - 3²
Height of the cone H = √25 - 9
Height of the cone H = √16
Height of the cone H = 4 cm
Now , the volume of the cone = ( 1/3 ) πR²H
Substituting the values in the equation , we get
Volume of the cone V = ( 1/3 ) x π x ( 3 )² x 4
On simplifying the equation , we get
Volume of the cone V = 3 x 4 x π
Volume of the cone V = 12 π
Volume of the cone V = 37.70 cm²
Therefore , the value of V is 37.70 cm²
Hence , the volume of cone is 12π or 37.70 cm²
To learn more about cone click :
https://brainly.com/question/1984638
#SPJ1
Multiply (3a + 5)2
A9a2 + 30a + 25
B 25a2 + 15a + 9
C a2 + 3a + 25
D 5a2 + 15a + 9
Answer:
9 a^2 + 30 a + 25 the anwser is A
Step-by-step explanation:
Expand the following:
(3 a + 5)^2
(3 a + 5) (3 a + 5) = (3 a) (3 a) + (3 a) (5) + (5) (3 a) + (5) (5) = 9 a^2 + 15 a + 15 a + 25 = 9 a^2 + 30 a + 25:
Answer: 9 a^2 + 30 a + 25
what are these two answers
Answer:
5 < x
Step-by-step explanation:
I just learned this stuff in class yw
Could you [please help me with the question in the screenshot thank you
The bias of the estimator is 1/45, so correct option is A.
Describe Proportion?In mathematics, a proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities, expressed as a fraction or a division of one quantity by another.
For example, the proportion "a/b = c/d" means that the ratio of a to b is equal to the ratio of c to d. This can also be written as "a : b = c : d", where the colon (:) represents the ratio symbol.
Proportions can be used to solve a variety of problems, such as finding unknown quantities in a ratio or comparing quantities that have different units. For instance, if a recipe calls for 2 cups of flour for every 3 cups of water, we can use proportions to determine how much flour and water we need if we want to make a larger or smaller batch.
The estimator for the true proportion of residents in support of the bypass road construction is given by:
p = (X + √2025/2) / 2025
We can see that this estimator involves adding √2025/2 to X, and then dividing the sum by 2025. Since √2025 = 45, we can simplify the estimator as:
p = (X + 45/2) / 2025
Now, we can find the expected value of the estimator:
E[p] = E[(X + 45/2) / 2025]
= (E[X] + 45/2) / 2025
To find the bias of the estimator, we need to compare its expected value to the true value of the parameter being estimated. Since we are estimating the proportion of residents in support of the bypass road construction, the true value of the parameter is the population proportion, denoted by p.
If the estimator is unbiased, then its expected value must equal the true value of the parameter, i.e., E[p] = p. Therefore, we have:
E[p] = (E[X] + 45/2) / 2025 = p
Solving for E[X], we get:
E[X] = 2025p - 45/2
Thus, the bias of the estimator is:
Bias[p] = E[p] - p
= (E[X] + 45/2) / 2025 - p
= [(2025p - 45/2) + 45/2] / 2025 - p
= (2025p - p) / 2025
= 44/2 x 2025
= 1/45
Therefore, the bias of the estimator is 1/45. Answer: A.
To know more about estimator visit:
https://brainly.com/question/29436481
#SPJ1
The bias of the estimator is 1/45. The appropriate choise for the posed query is option (a).
What is proportion?In mathematics, a proportion is the assertion that both ratios are equal. A ratio is the division of one quantity by another or the comparison of two quantities given as a fraction.
The ratio "a/b = c/d," for instance, denotes that the ratio of a to b is equivalent to the ratio of c to d. This can also be expressed as "a: b = c: d," where the ratio sign is denoted by the colon (:).
Numerous issues can be resolved using proportions, like comparing amounts with various units or locating unknown values in a ratio. For instance, we may use proportions to calculate the amount of flour and water needed to make a larger or smaller batch of a recipe if it calls for 2 cups of flour and 3 cups of water.
The estimator for the actual percentage of residents in favour of building the bypass route is provided by:
p = (X + √2025/2) / 2025
As we can see, this estimator multiplies X by 2025/2 before dividing the result by 2025.
Since √2025 = 45, The estimator may be distilled down to:
p = (X + 45/2) / 2025
We can now determine the estimator's expected value:
E[p] = E[(X + 45/2) / 2025]
= (E[X] + 45/2) / 2025
We must contrast the estimator's expected value with the actual value of the parameter being estimated in order to determine its bias. The population proportion, given by p, is the genuine value of the parameter because we are calculating the percentage of residents who support the construction of the bypass route.
If the estimator is impartial, then its predicted value must match the parameter's true value, or E[p] = p. As a result, we have:
E[p] = (E[X] + 45/2) / 2025 = p
Solving for E[X], we get:
E[X] = 2025p - 45/2
As a result, the estimator's bias is:
Bias[p] = E[p] - p
= (E[X] + 45/2) / 2025 - p
= [(2025p - 45/2) + 45/2] / 2025 - p
= (2025p - p) / 2025
= 44/2 x 2025
= 1/45
As a result, the estimator's bias is 1/45. Answer: A.
To know more about proportion, visit:
https://brainly.com/question/1496357
#SPJ1
How to write 1.06 in expanded form
Answer:
1+(6*.01)
Step-by-step explanation:
\(\large{\sf{Question:}} \\ \\\)
How to write 1.06 in expanded form
Solution :
1.06
\( \implies\) 1 + 0.0 + 0.06
Teresa has 53 buttons. Teresa wants to make 12 puppets how many more buttons will she need
Answer:41
Step-by-step explanation:
will give brainliest to correct answer
The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.
What is an arithmetic sequence?Arithmetic succession or arithmetic sequential is a numerical series in which the difference between subsequent terms is uniform.
Let's check all the options, then we have
A. {-6, 1, 8, 15, 22,...}, then the common difference is given as,
d = 1 - (-6) = 8 - 1 =
d = 7 = 7
B. {64, 32, 16, 8, 4,...}, then the common difference is given as,
d = 32 - 64 = 16 - 32
d = -32 ≠ - 16
C. {1, 2, 4, 8, 16,...}, then the common difference is given as,
d = 1 - 2 = 2 - 4
d = - 1 ≠ - 2
D. {1, 3, 6, 10, 15,...}, then the common difference is given as,
d = 1 - 3 = 3 - 6
d = - 2 ≠ - 3
The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.
More about the arithmetic sequence link is given below.
https://brainly.com/question/15412619
#SPJ1
Put these numbers in order from least to greatest.
-1/4
2/40
-16
9/25
Answer:
(-1/4)(-16)(2/40)(9/25)Step-by-step explanation:
Flying against the wind, an airplane travels 4500km in 6 hours. Flying with the wind, the same plane travels 2910 kilometers in 3 hours. What is the rate of the plane in still air and what is the rate of the wind?
Let a denote the airplane's speed in still air, and w the windspeed.
When the plane flies against the wind, it can travel an average speed of
(4500 km) / (6 h) = 750 km/h
so that
a - w = 750 km/h
Flying with the wind, it moves at a speed of
(2910 km) / (3 h) = 970 km/h
so that
a + w = 970 km/h
Add the two equations to eliminate w and solve for a :
(a - w) + (a + w) = 750 km/h + 970 km/h
2a = 1720 km/h
a = 860 km/h
Subtract them to eliminate a and solve for w :
(a - w) - (a + w) = 750 km/h - 970 km/h
-2w = -220 km/h
w = 110 km/h
display the data in a dot plot
Step-by-step explanation:
\(7)y { {5}^{?} }^{2} \)
awan ko sjsbdjeksndbjrieosyugu