D. All counting numbers are whole numbers.
All integers are counting numbers. This is not true. Counting numbers (also known as natural numbers) are positive whole numbers starting from 1, 2, 3, and so on. Integers include all positive and negative whole numbers, as well as zero. Thus, not all integers are counting numbers.
All rational numbers are integers. This is not true. Rational numbers include all fractions where the numerator and denominator are integers (denominator not zero). For example, 1/2 is a rational number but not an integer.
All integers are whole numbers. This is not true. Whole numbers include all non-negative integers (0, 1, 2, 3, ...), but integers also include negative numbers, which are not whole numbers.
Counting numbers (1, 2, 3, ...) are included in the set of whole numbers, which consists of all non-negative integers (0, 1, 2, 3, ...).
Triangle xyz is reflected across the y axis and x = 4,-5 what are the coordinates of x
Answer:
[tex]\tilde{x}=(-4,-5)[/tex]
Step-by-step explanation:
When we reflect a point [tex]P=(p_x,p_y)[/tex] over the y-axis, it's reflected to the point [tex]\tilde{P}[/tex] with the same y-coordinate as P and whose x-coordinate is minus the x-coordinate of P, hence
[tex]\tilde{P}=(-p_x,p_y).[/tex]
Therefore, in our particular case the point x=(4,-5) is reflected to the point
[tex]\tilde{x}=(-4,-5).[/tex]
Which of these shows 7 + 2y rewritten using the commutative property of addition?
7y + 2
2y + 7
7 − 2y
2y − 7
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In the equation y = 3x - 1 what is the value of y when x equals -3?
Just plug in -3 for x and solve
y= -10
which shows the factored form of x2-12x-45
Answer:
[tex](x+3)(x-15)[/tex] is the required factorized form of the given expression.
Step-by-step explanation:
The given equation is:
[tex]x^2-12x-45[/tex], we have to factorized this equation,
Upon solving the above equation, we get
⇒[tex]x^2-15x+3x-45[/tex]
⇒[tex]x(x-15)+3(x-15)[/tex]
⇒[tex](x+3)(x-15)[/tex]
which is the required factorized form of the given expression.
You are stacking books into a shipping box that is 15 inches high. Each book is 1.25 inches thick. How many books can you fit in a stack?
A box of grass seed weighs .62 pounds. How much does a box containing .75 times as much grass seed weigh?
I need help with #46!!!!
Remark
There are two formulas for doing this. I'll use the one that does not involve the slope. I think it will be easier for you to understand.
Step One
Decide which point is (x1,y1)
Since point P is 2/5 the way up from point A, we will call (x1,y1) point A
Step Two
Write the givens.
Point(A) = (-2,-3)
Point(B) = (3,2)
Step Three
Write the formula
x1 + ratio*(x2 - x1), y1 + ratio(y2 - y1)
Sub and solve.
-2 + 2/5 *(3 - - 2) , -3 + 2/5*(2 - -3)
-2 + 2/5(5) , - 3 + 2
-2 + 2 , - 1
P = (0 , - 1) <<<<<< Answer
If this turns out to be incorrect please notify me.
Grace was given the description “three less than the quotient of a number squared and nine, increased by eight” and was asked to evaluate it when n = 6. Her work is shown below.
Step 1: mc021-1.jpg
Step 2: mc021-2.jpg
Step 3: mc021-3.jpg
Step 4: mc021-4.jpg
Step 5: 7
In which step did she make an error?
step 1
step 2
step 4
step 5
Grace made an error in Step 5 of evaluating the expression 'three less than the quotient of a number squared and nine, increased by eight' when n = 6. The correct evaluation should result in 12, not 7 as she calculated. Hence, the error is in Step 5, where she incorrectly concluded that the expression equals 7.
Explanation:The question asks us to identify the step at which Grace made an error in evaluating the expression given the description “three less than the quotient of a number squared and nine, increased by eight” when n = 6. Without seeing the exact steps Grace took, we can still solve the expression ourselves.
Firstly, let's translate the description into an algebraic expression using n as our number:
“Three less than the quotient of a number squared and nine” can be expressed as ((n^2)/9) - 3.
Then, we “increase by eight” to get the final expression: ((n^2)/9) - 3 + 8.
If n = 6, we substitute in the value to get: ((6^2)/9) - 3 + 8, which simplifies to (36/9) - 3 + 8 = 4 + 8 = 12.
Thus, the correct answer when evaluating the expression for n = 6 is 12. Grace's error appears to have occurred in Step 5, where she incorrectly evaluated the final sum as 7.
NEED URGENT HELP!
The table shows the height of a plant as it grows.
a. Model the data with an equation.
b. Based on your model, predict the height of the plant at 12 months
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5.
(05.03 MC)
Freddy reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:
Which equation best models the relationship between x and y? (1 point)
y = –5x + 40
y = –40x + 280
y = –40x + 200
y = –5x + 200
Translate the sentence into an inequality.
Six subtracted from b is at most 21.
Which of this is tru
A scale on a map says that 1 inch represents 60 miles. If the distance between two points on the map is 2 1/2 inches, how many miles are between the two points?
To find the number of miles between the two points, we need to calculate the distance represented by 2 1/2 inches on the map.
Given that the scale states 1 inch represents 60 miles, we can use this information to determine the distance in miles represented by each inch on the map. So, if 1 inch equals 60 miles, then we can write this as the ratio: 1 inch / 60 miles. To find the distance represented by 2 1/2 inches on the map, we can multiply the ratio by the number of inches: [tex](2 1/2 inches) × (1 inch / 60 miles)[/tex]. Simplifying this expression, we get: ([tex]5/2 inches) × (1 inch / 60 miles).[/tex]
Now, we can multiply the numerators and denominators together: [tex](5/2) × (1/60) = 5/120 = 1/24[/tex]. Therefore, [tex]2 1/2 i[/tex]nches on the map represents 1/24 of the actual distance between the two points. Now, to find the actual distance in miles, we can divide 60 miles (representing 1 inch on the map) by 24: 60 miles [tex]/ 24 = 2.5[/tex] miles. Thus, the two points on the map are approximately 2.5 miles apart from each other in actual distance.
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Please help!! Attached an image, will give most brainliest
Tony misplaced 7 stamps from his collection. He knows that each stamp of his worth $0.15 and that the total value of them is now only $5.55. write an -EQUATION- to determine the number of stamps (s) that tony originally had.
The longest side of an acute isosceles triangle is 8 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides? 4.0 cm 4.1 cm 5.6 cm 5.7 cm
The smallest possible length of one of the two congruent sides is 5.7 cm and this can be determined by using the Pythagorean theorem for an acute triangle.
Given :
The longest side of an acute isosceles triangle is 8 centimeters.
The following steps can be used in order to determine the smallest possible length of one of the two congruent sides:
Step 1 - The Pythagorean theorem for an acute triangle can be used in order to determine the smallest possible length of one of the two congruent sides.
Step 2 - Let the length of the smaller sides be 'a' and let the length of the larger side be 'b'.
Step 3 - According to the Pythagorean theorem for an acute triangle:
[tex]\rm H^2 < B^2+P^2[/tex]
where H is the hypotenuse, B is the base, and P is the perpendicular.
Step 4 - Substitute the values of the known terms in the above expression.
[tex]a^2+a^2>b^2[/tex]
[tex]2a^2>b^2[/tex]
Step 5 - Substitute the value of x in the above expression.
[tex]2a^2>8^2[/tex]
a > [tex]\sqrt{32}[/tex]
a > 5.6
Therefore, the correct option is D).
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Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equiation to find the number of drinks she needs to sell to sell to earn $100
Solve the following system. 4x2 + 9y2 =72 x2 - y2 = 5 The solutions are (), (), (), and () (remember to include the commas) there has to be 4 solutions all ordered pairs please help
Answer: The required solutions are
[tex](x,y)=(3,2),~(-3,2),~(3,-2),~(-3, -2).[/tex]
Step-by-step explanation: We are given to solve the following system of equations:
[tex]4x^2+9y^2=72~~~~~~~~~~~~~~~~~~~~(i)\\\\x^2-y^2=5~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Let us consider that
[tex]x^2=a,~~~~~y^2=b.[/tex]
So, equations (i) and (ii) becomes
[tex]4a+9b=72~~~~~~~~~~~~~~~~(iii)\\\\a-b=5~~~~~~~~~~~~~~~~~~~~(iv)[/tex]
Multiplying equation (iv) by 4 and then subtracting from equation (iii), we get
[tex](4a+9b)-(4a-4b)=72-4\times 5\\\\\Rightarrow 4a+9b-4a+4b=72-20\\\\\Rightarrow 13b=52\\\\\Rightarrow b=4.[/tex]
From equation (iv), we get
[tex]a-b=5\\\\\Rightarrow a-4=5\\\\\Rightarrow a=9.[/tex]
Therefore,
[tex]a=9~~~~~\Rightarrow x^2=9~~~~~\Rightarrow x=\pm3,\\\\b=4~~~~~\Rightarrow y^2=4~~~~~\Rightarrow y=\pm2.[/tex]
Thus, the required solutions are
[tex](x,y)=(3,2),~(-3,2),~(3, -2),~(-3, -2).[/tex]
Which function is an example of exponential growth? y = 2(0.3)x y = 1.5(0.4)x y = 3(8)x y = 2(0.7)x
Ankur estimated the quotient of 15 1/3 divided by (-4 2/3) to be 3. Which best describes his error?
Answer:
the anwser is b hope it helped
P = KT/V solve for k
we have
[tex]P=\frac{KT}{V}[/tex]
Solve for K means clear the variable K
so
Multiply both sides by [tex]V[/tex]
[tex]PV=V\frac{KT}{V}[/tex]
[tex]PV=KT[/tex]
Divide both sides by [tex]T[/tex]
[tex]PV/T=KT/T[/tex]
[tex]K=PV/T[/tex]
therefore
the answer is
[tex]K=PV/T[/tex]
Is 5 3/7 real and irrational or real and rational?
HELP PLEASE
What is the degree measure of the supplement of the complement of a 42-degree angle?
At a physics convention, 10 companies set up equal sized square booths in a row along one wall of the convention center. The booths are adjacent to each other and a 4-ft wide walkway surrounds the block of booths on three sides. The total area of the booths and walkway is 2300 ft2. What is the side length of each booth?
What is the coefficient of y in the expression 3 ⋅ 4 + 5y?
5
9
12
17
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3/8 of the people at a fun fair were children 3/4 of the remaining people were men there were 140 children than women how many people went to the funfair
would you ever get a credit card from a company that would raise your rate even though you pay your credit card bills as agreed?
a.i don't mind throwing money away
b.i didn't now that credit card companies from one another
c.i didn't carefully shop for the right credit card company.
d.both b and c
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Which statement is true about the equation 3/4 z = 1/4 z - 3 + 5?
It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.
given f(x)=6x+2 find f(x+3)
f(x+3) = 6x+20
What is a function?A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
f(x) = 6x+2
f(x+3) = 6(x+3) + 2
= 6x + 18 + 2
= 6x + 20
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On Ms. Smith's last math test, 60% of her 25 students earned an 83% or better. How many of Ms. Smith's students earned an 83% or better on the last math test? A. 17 B. 14 C. 20 D. 15
The answer is 15.
15 students earned an 83% or better on the last math test.
60% of 25 students means 60% * 25 = 15 students earned an 83% or better on Ms. Smith's last math test. Therefore, the answer is 15.