Answer:
-1
Step-by-step explanation:
\( - 2 \leqslant 0 < 1\)
g(x)=0-1=-1
The value of the function g(0) is -1.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function g(x) = 3x-2, -4≤x<-2
g(x) = -x-1, -2≤x<1
g(x)=6, 1≤x≤3
We need to find value of g(0).
Let us check at which interval the value zero lies.
The zero lies in the interval -2≤x<1.
So we have to use the function g(x)=-x-1
Now put x as zero
g(0)=-0-1
=-1
Hence, the value of the function g(0) is -1.
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If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence
Answer:
12 posts are needed
Step-by-step explanation:
60 divided by 5 is 12
Mean Calculations Q3: The mean of 8 numbers is 14. What is the total of the numbers? 84 1.75 112 22
Answer:
84.
Step-by-step explanation:
mean = total of the values / number of numbers
If the total of the numbers = T:
14 = T / 8
T = 8*14 = 84.
20x=60y What is x in terms of y? (Hope this isn't illogical)
Answer:
x=3y
Step-by-step explanation:
divide both sides by 20
20x = 60y
------ -------
20 20
x=3y
Answer:
x = 3y
Step-by-step explanation:
20x = 60y
Divide 20 into both sides.
20x/20 = 60y/20
1x = 6/2y
x = 3y
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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Solve - 8 = k-4 divided -6.What is k = to?
The given equation is
\(-8=\frac{k-4}{-6}\)→ At first, multiply both sides by - 6 to cancel the denominator on the right side
\(\begin{gathered} \because-8\times-6=\frac{(k-4)}{-6}\times-6 \\ \therefore48=k-4 \end{gathered}\)→ Now add 4 to both sides to move (-4) from the right side to the left side
\(\begin{gathered} \because48+4=k-4+4 \\ \therefore52=k+0 \\ \therefore52=k \end{gathered}\)The value of k is 52
f Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
$12.25
$14.40
The amount of tax Zoe would pay if she orders from store Y is $1.44.
How much tax would she pay?
Tax is a compulsory sum levied by the government or an agency of the government on the production, sales or consumption of certain goods and services
Tax = cost of the book x percentage tax
0.08 x $18 = $1.44
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free think fast 20X10
Answer:
200 yessir
Step-by-step explanation:
how to find the base area of a rectangular prism from length width and volume
If you want to find the base area of a rectangular prism, then all you need is length and width only.
\( \boxed{Volume = length \times width \times height} \)
You don't need height. So, this is a must be easy.
\(\blue{\small{\mathfrak{That's \: it. \: Thanks \::)}}} \)
Write an equation of the line that passes through (1,5) and is perpendicular to the line shown.
An equation of the perpendicular line is y=
Answer:
y = 3x + 2Step-by-step explanation:
The line on the graph has points:
(- 3, 4) and (3, 2)Its slope is:
m = (2 - 4)/(3 - (- 3)) = - 2 / 6 = - 1/3Perpendicular line has opposite reciprocal slope:
m = - 1 / (- 1/3) = 3And the line passes through the point (1, 5).
Find the equation of the line:
y - y₁ = m(x - x₁)y - 5 = 3(x - 1)y = 3x - 3 + 5y = 3x + 2Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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1/2x(6x1x7)+11 show how to solve this problem
Answer:
32
Step-by-step explanation:
first multiply 6×1.
1/2×(6×7)+11
Then multiply 6×7
1/2×42+11
Third you multiply 1/2 and 42
1/2×42= 21
finally you add together 21+11
21+11= 32
4x+7=23. explain the steps you would use to solve the equation for x.
Answer:
x=4
Step-by-step explanation:
1. isolate the variable by subtracting 7 on both sides: 4x=23-7
2. simplify: 4x=16
3. divide both sides by 4: x=16/4
4. simplify: x=4
Answer:
x=4
Step-by-step explanation:
4x+7=23
Collect like terms
4x=23-7
4x=16
Divide both sides by the co-efficient of x
4x/4=16/4
x=4
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
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Keith makes 9 out of every 10 free throws. Josie makes 10 out of every 12 free throws who is better at making free throws?
A right cylinder has a radius of 4 and height of 11 . What is it’s surface area?
Answer:
376.8
Step-by-step explanation:
formula for SA=2×π×r×h + 2×π×r²
r = 4
r²= 16
h = 11
π= 3.14..
substitute:
SA= (2 × 3.14 × 4 × 11) + (2× 3.14 × 16)
276.32 + 100.48 = 376.8
Help me this is time sensitive so please help
⭐️⭐️⭐️⭐️⭐️
The probability of rolling a total of 9 is 1/9.
The probability of rolling a total of 10 is 1/12.
The probability of rolling a total of 11 is 1/18.
We have,
To calculate the probabilities of rolling specific totals with a pair of dice, we need to consider all possible combinations of numbers on each die.
Probability of rolling a total of 9:
There are four combinations that can result in a total of 9: (3, 6), (4, 5), (5, 4), and (6, 3).
Since each die has six sides, there are 6 * 6 = 36 equally likely outcomes when rolling two dice.
The probability of rolling a total of 9 is 4/36, which can be simplified to 1/9.
Probability of rolling a total of 10:
There are three combinations that can result in a total of 10: (4, 6), (5, 5), and (6, 4).
The probability of rolling a total of 10 is 3/36, which can be simplified to 1/12.
Probability of rolling a total of 11:
There are two combinations that can result in a total of 11: (5, 6) and (6, 5).
The probability of rolling a total of 11 is 2/36, which can be simplified to 1/18.
Thus,
The probability of rolling a total of 9 is 1/9.
The probability of rolling a total of 10 is 1/12.
The probability of rolling a total of 11 is 1/18.
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length of a rectangle with a width of 10 and an area of 150 meters
We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.
In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:
150 = l × 10
Dividing both sides by 10, we get:
15 = l
Therefore, the length of the rectangle is 15 meters.
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Sally ordered her groceries online. She accidentally ordered 120 pounds of flour (instead of 10 pounds) and only uses five pounds of flour every two months.
(please answer a and b)
(sorry for blurry camera)
Answer:She can use these 120 pounds of flour for 30 months, if that's what you are asking.
Step-by-step explanation:
120÷4=30
Write an equation to represent the real world problem below.
The area of a rectangle measures 9/14 ft^2. It has a length of 3/7 of a foot and a width of 1 1/2 feet.
The equation which represents the real world problem involving a rectangle as described in the task content is; 9/14 = 3/7 × 3/2.
What is the equation which represents the real world problem as given in the task content?It follows from the task content that the equation which represents the real world problem involving a rectangle be determined.
It follows from plane shape measures that the area of a rectangle is;
Area = length × width.
Hence, from the parameters given; we have;
Area = 3/7 × 1 1/2
Area = 3/7 × 3/2
Ultimately, the model according to the given parameters which hold true is;
9/14 = 3/7 × 3/2.
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You buy 670 shares of Ford for $12.46 each. What is the value of your trade?
Answer:
$8348.2
I hope this helps u :)
Step-by-step explanation:
Find the value of the permutation.
P(5,0)
P(5,0)= (Simplify your answer.)
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The value of the permutation P(5,0) is 1.
To find the value of the permutation P(5,0), we can use the formula:
P(n, r) = n! / (n - r)!
In this case, we have n = 5 and r = 0.
Substituting these values into the formula, we get:
P(5,0) = 5! / (5 - 0)!
Since any number factorial is equal to 1, we have:
P(5,0) = 5! / 5!
Simplifying further:
P(5,0) = 1
Therefore, the value of the permutation P(5,0) is 1.
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Based on the figure below, what is the value of x?
(5x + 15)
01
09
0 11
15
20°
Answer:
undefined
Step-by-step explanation:
because
the figure does not appear
If we use 3/4 of an 8 ounce container. how much of the container is used
Answer:
6 ounces
Step-by-step explanation:
3/4 * 8 = 6
please help me solve this
The area of a parallelogram is 315 square inches. If the parallelogram has a base length of 21 inches, what is the height of the parallelogram?
Answer:
Area of parallelogram is =base *height
Given area of parallogram is 315square inches
Therefore, area of parallogram =b*h
Therefore area of parallogram =21*h
Therefore, 315=21*h
Therefore 315/21=h
Therefore, 15 =height
Height of parallogram is 15 inches
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Few families can survive on a single salary.
Please select the best answer from the choices provided
T
F
Few families can survive on a single salary is true statement
Many families rely on dual incomes to make ends meet, especially in areas with high living costs.
However, there are still many families that rely on a single salary to support themselves.
While it may be challenging to make ends meet on a single salary, it is still possible for families to survive and even thrive in these circumstances.
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There are 40 children watching a magic show. 24 of the children are boys, and 16 of the children are girls. The magician needs to select 4 children to help him with his show. What is the probability that all 4 helpers will be girls
Answer:
1.99%. (2% rounded)
Step-by-step explanation:
The total number of ways to select 4 children out of 40 is given by the combination formula:
C(40,4) = 40! / (4! * (40-4)!) = 91,390
The number of ways to select 4 girls out of 16 is given by the combination formula as well:
C(16,4) = 16! / (4! * (16-4)!) = 1,820
Therefore, the probability of selecting 4 girls out of the group of 40 children is:
P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%
So the probability that all 4 helpers will be girls is approximately 1.99%
Hope this helps!.
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2