Answer:
1) 105.5 2) 67,994,000 3) -4.1
Step-by-step explanation:
The place value after the decimal point goes 10th, 100th, 1000th, etc.
For #1, we're asked to round to the nearest 10th. The 10th value is 4. To round it to the nearest 10th, we have to look at the number after that. In this case, it's 9. Since 9 is bigger than 4, the 4 becomes a 5, and all the other decimal points become 0. So, 105.496 rounded to the nearest 10th is 105.5
For #2, we're asked to round to the nearest 10,000s. The 10,000s value in 67,994,374 is 9. The value after that is 4. Since 4 is less than 5, the 4 stays the same but all the other values become 0. So, 67,994,374 rounded to the nearest 10,000s is 67,994,000.
For #3, we're asked to round to the nearest 10th. The 10th value is 0. To round it, the value after that is 5. 5 is equal to five, which means the 0 turns 1, and the other values become 0. So -4.05 rounded to the nearest 10th is -4.1
The inverse of the function f(x) = 1/2x+10?
Answer:
f'(x) = 2x - 20
Step-by-step explanation:
f(x) = 1/2 x + 10
Switch x and y.
y = 1/2 x + 10
Solve for y by itself.
x = 1/2 y + 10
x - 10 = 1/2 y
y = 2 * (x - 10)
f'(x) = 2x - 20
which table represents a linear function?
Answer:
the bottom right chart
Answer:
Third table shows lunar functions
Discrete Mathematics
For each language L1 to L5, described below, you need to do the following:
• Create a regular expression that defines the language accurately.
The alphabet A = {a, b} will be used.
The languages are:
1. L1 which has exactly one a but any number of bs.
2. L2 which has an odd number of as and an even number of bs.
3. L3 which contains exactly two as or exactly two bs, although not necessarily adjacent.
4. L4 which has all the bs appearing before any of the as, or all the as appearing before any of the bs.
5. L5 where there can be any number of as but the number of bs must be even, although the bs do not have to be adjacent.
Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.
How to create regular expressions?A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages are:
L1, which has exactly one "a" but any number of "bs".
L2, which has an odd number of "as" and an even number of "bs".
L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.
L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".
L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.
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Which statement correctly relates the dilation of a circle with its new area?
Answer:
When a circle is dilated about its center by a scale factor of 3/2, its area is multiplied by a scale factor of 9/4.
Step-by-step explanation:
Scale factor = 3/2
The ratio of the areas is the scale factor squared. Therefore, the ratio of the areas is (3/2)² = 9/4
Find two numbers the exact answer is between 6×7381
The two numbers so that the exact answer is between 6×7381 are 28,000 and 48,000.
Given:
To find two numbers the exact answer is between 6×7381.
7,381 is between the numbers 7,000 and 8,000.
Rounding the number 7,381 down to 7000 and multiplying 6 by it.
6 × 7,000 is 28,000
Rounding the number 7,381 up to 8000 and multiplying 6 by it.
6 × 8,000 is 48,000
The two numbers so that the exact answer is between 6×7381 are 28,000 and 48,000 respectively.
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Anna is 4 years older than her brother. Two years ago her brother was 3/4 her age. How old will her brother be in five years
Answer: he will be 14
Step-by-step explanation:
Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))
Find the length of each side of the triangle. Check that the perimeter is equal to 20 inches.
Answer:
there is no picture
Step-by-step explanation:
Answer:
it depends on what triangle it is. if it an equilateral then the answer is 6.7 (20 divided by 3)
Step-by-step explanation:
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Have a wonderful day!!!! Hope this helps. Ask me anytime if you need any help :)
Choose all pairs of points that are reflections of each other across both axes.
A. (–4 1/2, 1) and (–1, 4 1/2)
B. (2.5, –1) and (–2 1/2, 1)
C. (4.2, –1) and (2.4, –1)
D. (1, –2.25) and (–1, 2 1/4)
E. (–2, 2 1/3) and (2, 2 1/3)
Answer:
c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
This is difficult for me anyone know ?
A human brain weighs about 1 kg and contains about 1011 cells. Assuming that each cell is completely filled with water (density = 1 g/mL), calculate the length of one side of such a cell if it were a cube. If the cells were spread out into a thin layer that was a single cell thick, what would be the total surface area (in square meters) for one side of the cell layer?
Answer:
Step-by-step explanation:
From the information given:
a human brain weighs = 1 kg ; = 1000 grams
Number of cells = 10¹¹ cells
The density of water filled in each cell = 1 g/mL
From above;
the weight of each of the brain cell = total weight of the human brain/the number of cells
the weight of each of the brain cell = 1000/10¹¹
the weight of each of the brain cell = 1 × 10⁻⁸ grams
Now, to calculate the quantity of water in each cell; we have:
= the weight of each brain × density
= \(1 \times 10^{-8} \ g \times \dfrac{1 \ mL}{1 \ g}= 1 \times 10^{-8} \ mL\)
For cube; we know that
1 mL = 1 cm³
Thus:
\(1 \times 10^{-8} \ mL= 1 \times 10^{-8} \ cm^3\)
Recall that; the volume of a cube as well = \(x^3\)
where;
x = length of each sides
∴
\(x^3\) = \(1 \times 10^{-8} \ cm^3\)
\(x = \sqrt[3]{1 \times 10^{-8}}\)
x = 0.0022 cm
Thus, the length of each side of the cell = 0.0022 cm
The surface area of a single cell = x²
The surface area of a single cell = (0.0022 cm)²
The surface area of a single cell = 4.84 × 10⁻⁶ cm²
Therefore, the total surface area of is:
\(1 \times 10^{11} \ cells \times \dfrac{4.84 * 10^{-6} \ cm^2}{1 \ cell}\)
= \(4.84 \times 10^5 cm^2\)
= \(5.0\times 10^5 cm^2\)
= 50 m²
What goes into the boxes
Answer:
See explanation
Step-by-step explanation:
\(6 {c}^{2} + 2 {c}^{4} - c \\ \\ standard \: form = \red{ \boxed{ \bold{2 {c}^{4} + 6 {c}^{2} - c}}} \\ \\ degree = \purple{ \boxed{ \bold{4}}} \\ \\ leading \: coefficient = \orange{ \boxed{ \bold{1}}}\)
Need helpp right noww
Answer:
151°
Step-by-step explanation:
First, we must identify the geometric figure in the diagram. It has five angles, so it's a pentagon.
It is also important to remember that the sum of all interior angles in a pentagon is 540°. So that means:
5x+2 + 10x-3 + 8x-19 + 13x-31 + 7x-11 = 540
43x-62 = 540
43x = 602
x = 14°
Now, we just plug in value of x into the expression for angle S:
S = 13x-31
S = 13•14-31
S = 151°
A piggy bank contains 4 quarters, 18 dimes, 10 nickles, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability. P(penny, then dime)
The probability of choosing a penny in the first draw is:
\(P(\text{penny)}=\frac{8}{40}\)Now, the probability of choosing a dime is:
\(P(\text{dime)}=\frac{18}{39}\)Therefore the probabily of chooosing a penny and then a dime is:
\(P=\frac{8}{40}\cdot\frac{18}{39}=\frac{6}{65}\)Which compound inequality is represented by the graph?
-5 -4 -3 -2 -1 0 1 2 3 4 5
O x<-4 or x > 3
O X<-4 and x > 3
xs-4 or x <3
Oxs 4 and x <3
The compound inequality represented by the graph is (a) x <-4 or x > 3
From the graph, we have the following highlights
The line number starts from -4, and goes to the left directionThe line number also starts from 3, and goes to the right directionThe dot at -4 and 3 are openedThe above means that:
-4 and 3 are not included in the inequality values
Hence, the compound inequality represented by the graph is x <-4 or x > 3
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PLS HELP TIMED WILL GIVE BRAINLEIST
Answer:
what's the question and no link's
Answer:
490 cu.ft
Step-by-step explanation:
Suppose the value of y and the value of x vary together at a constant rate of change (so that Δy=0.5⋅Δx), and y=2.5 when x=2.
a. Suppose the value of x
varies from x=2 to x=5.75.
What is the value of y when x=5.75?
Does the graph represent a function? Why or why not ?
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
Carrie rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total less than 9.
Answer:
wait what's the other part of the question
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line whose equation is 3x+2y=6?A. −3/2B. −2/3C. 3/2D. 2/3
We would begin by determining the slope of the line given;
\(3x+2y=6\)To determine the slope, we would have to express the equation of the line in slope-intercept form as follows;
\(y=mx+b\)Therefore, we need to make y the subject of the equation as shown below;
\(\begin{gathered} 3x+2y=6 \\ \text{Subtract 3x from both sides of the equation} \\ 2y=6-3x \\ \text{Divide both sides by 2 } \\ \frac{2y}{2}=\frac{6-3x}{2} \\ y=\frac{6}{2}-\frac{3x}{2} \\ y=3-\frac{3}{2}x \end{gathered}\)The equation in slope-intercept form appears as shown above. Note that the slope is given as the coefficient of x.
Note alo that the slope of a line perpendicular to this one would be a "negative inverse" of the one given.
If the slope of this line is
\(-\frac{3}{2}\)Then, the inverse would be
\(-\frac{2}{3}\)The negative of the inverse therefore is;
\(\begin{gathered} (-1)\times-\frac{2}{3} \\ =\frac{2}{3} \end{gathered}\)The answer therefore is option D
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
I have 20 points if you answer all of them I’ll give you Brainliest
Answer:
The third one is \(y=-4x-5\)
The fourth one is \(y=\frac{2}{3}x+4\)
The last one is y = \(- \frac{1}{5} x\)
Step-by-step explanation:
Carns Company is considering eliminating its Small Tools Division, which reported a loss for the prior year of $205,000 as shown below. Segment Income (Loss) Sales $ 1,430,000 Variable costs 1,295,000 Contribution margin 135,000 Fixed costs 340,000 Income (loss) $ (205,000) If the Small Tools Division is dropped, all of its variable costs are avoidable, and $119,000 of its fixed costs are avoidable. The impact on Carns’s income from eliminating the Small Tools Division would be: Multiple Choice
The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.
To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.
The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.
To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:
Impact on income = Loss - Avoidable costs
Impact on income = $205,000 - ($1,295,000 + $119,000)
Impact on income = $205,000 - $1,414,000
Impact on income = -$1,209,000
The negative sign indicates a decrease in income.
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Exercise
find the truth set of the
1.5(3x-5)-2(x-7)=11
Pls pls pls pls help me i nerd help asap i will give BRAINLIEST!!!!!!
Answer:
y = 2x+4
Step-by-step explanation:
From the graph, we can tell that slope is 2 because if we go up 2 units up from (0,4) which is point Q and then go right 1 unit, the slope is 2. The y intercept is (0,4)
y = mx + b
m --> slope
b --> y-intercept
y = 2x+4
I need to know about the fraction for this question
Answer: the fraction is 4over 12
Step-by-step explanation:
first you multiply the top and bottom number then u divide the number by the bottom.
Answer:
1/2
Step-by-step explanation:
If you were to multiply 1/2 by -50 you would get -25, which is greater than -50.
The same goes for 1/5, if you were to multiply 1/5 by -50, you would get -10.
Another example is 1/10 times -50, that would be -5.
What is the product?
2 3
5 9 -1 -7
11 5 -3
10 15 20
45 -5 -35
55
10
4 2
55
7
14
25 -15
45 -1 -7
315
+7 9
CO
8
9
4 1-2
Answer:
A.
Step-by-step explanation:
Hello, this is what we call matrix. multiplication matrix to be precised.
so it is;
5×2=10
5×3=15
5×4=20
5×9=45
5×-1= -5.
5×-7= -35
5×11=55
5×5=25
5×-3= -15.
i hope you understand. That is matrix for you but it has different categories
Find the interest on a $6000 loan at 4% for 5 years.
Answer:
6000/1+0.04 power of 5
= 32,269.44
Find the y-intercept for the parabola defined by
this equation:
y=-4x^2-x+3
Answer:
y is 0,3
Step-by-step explanation:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
Answer:
(0,3)
Step-by-step explanation:
Two methods:
Method 1: General method for any equation
Method 2: Method specific for parabolas in standard form
Method 1: General method for any equation
For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis. The y-axis is a vertical line through the origin (0,0).
Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis). The only movement would be up or down.
Since no left-right movement will happen, the x-coordinate is zero.
For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation. If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".
\(y=-4x^2-x+3\)
\(y=-4(0)^2-(0)+3\)
Order of operations requires exponents before multiplication, or addition & subtraction...
\(y=-4(0)-(0)+3\)
multiplication...
\(y=0-0+3\)
addition & subtraction, from left to right...
\(y=3\)
So, when the x-value is zero, the y-value is three. Therefore, the ordered pair representing that point is (0,3).
Method 2: Method specific for parabolas in standard form
The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).
Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)
For a parabola in standard form, the y-intercept is always at a height of "c".
So, the y-intercept would be (0,3).
PLEASE HELP ME RIGHT NOW!!!!
Choose all the possible phrases Start Fraction n over 50 End Fraction could represent.
chose
1.the quotient of fifty and a number
2.the product of a number and fifty
3.the difference of a number and fifty
4.the quotient of a number and fifty
5.a number divided by fifty
Its really easy D and E i took the test
Answer:
d e
Step-by-step explanation:
Help
Find a if A = 8a
Answer:
a(A) = 0
Step-by-step explanation: