Answer:
it will be a rectangle mostly...
Can you divide 2 by 9? Explain your response.
Answer:
0.22222222222
Step-by-step explanation:
To divide two by nine, you need to use your long division skills. Unfortunately, this interface doesn't lend itself well to showing you the actual long division problem, so try to follow the steps with me.
draw a division symbol (should look like half a rectangle). Put the 9 in front of the rectangle and a 2 inside it. Make the top of the rectangle long.
Note that the result of the division 2÷9 is not an exact value and is equivalent to recurring decimal 0.22... (which has 2 as the period).
What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: ________
The missing step in solving the inequality is x > -9
Solving inequalitiesFrom the question, we are to determine the missing step in solving the given inequality
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: ________
Applying the division property of inequality
-2x/-2 < 18/-2
x > -9
Hence, the missing step in solving the inequality is x > -9
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Which equation represents a line that passes through the two points in the
table?
Write a proof
given: angle 1 and angle 3 are supplementary
prove: m is parallel to n
Answer:
angle 2 is equal to angle 1 ... vertically opposite angles equal
therefore angle 2 and angle 3 are supplementary...co-interior angles supplementary
therefore m is parallel to n
x^3 - y^3 = 218 where x and y are positive integers. Find x+y
The value of x + y is 12
How to solve for x + y?The equation is given as:
x^3 - y^3 = 218
Make x^3 the subject
x^3 = 218 + y^3
The next cubic expression greater than 218 is 343.
So, we assume
x^3 = 343
This gives
x = 7
Substitute x^3 = 343 in x^3 = 218 + y^3
343 = 218 + y^3
Evaluate the like terms
y^3 = 125
This gives
y = 5
So, we have:
x + y = 7 + 5
Evaluate
x + y = 12
Hence, the value of x + y is 12
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Car A and car B are 60 miles apart. If they start driving towards each other with car A going at twice the speed of car B, how far away will they be from car B's original starting point when they pass each other
The distance between car B's original point and the point where car A and car B pass each other is 20 miles, given the speed of car A is twice the speed of car B, and they are 60 miles apart initially.
We assume the speed of car B to be x miles/hour.
Given car A going at twice the speed of car B, the speed of car A = 2x miles/hour.
When moving toward each other, the relative speed of the cars is the sum of their speeds.
Therefore, the relative speed = x + 2x miles/hour = 3x miles/hour.
The total distance between the cars is given as 60 miles.
Therefore, the time taken by car A and car B to reach the same point = 60/3x hours = 20/x hours.
Therefore, the distance from car B's original point and the point where car A and car B pass each other = Speed of car B*Time = x*(20/x) miles = 20 miles.
Therefore, the distance between car B's original point and the point where car A and car B pass each other is 20 miles, given the speed of car A is twice the speed of car B, and they are 60 miles apart initially.
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What are two angles next to each other called?
Two angles which are next to each other is referred to as adjacent angle in this case.
What is an Adjacent angle?These are angles which have a common vertex and side and do not overlap with one another.
This angle lie next to each other when plotted hence the reason why they share a common vertex.
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Triangle ABC has side lengths:
AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm
ΔABC ≅ ΔHJK
What is the length of side HJ?
The length of HJ is 3.5 cm
What is Congruency?Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.
Given:
AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm
As, ΔABC ≅ ΔHJK
So,
AB = HJ
BC = JK
AC = HK
Thus, HJ= AB = 3.5 cm
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A company finds that its sales since the company started in 2000 can be modelled by the function s(t)=(20t^2+800t+300)/(8t^2+10t+100) where s is the total sales, in millions of dollars, and t is the number of years since 2000. a) calculate the years when the sales are 9 million, algebraically.
Solving the quadratic function, the sales are of 9 million in the years of 2000 and 2012.
What is a quadratic function?A quadratic function is given according to the following rule:
[tex]y = ax^2 + bx + c[/tex]
The solutions are:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]
In which:
[tex]\Delta = b^2 - 4ac[/tex]
The number of sales(in millions of dollars), in t years after 2000, is modeled by the following function:
[tex]S(t) = \frac{20t^2 + 800t + 300}{8t^2 + 10t + 100}[/tex]
The sales are of 9 million when S(t) = 9, hence:
[tex]S(t) = \frac{20t^2 + 800t + 300}{8t^2 + 10t + 100}[/tex]
[tex]9 = \frac{20t^2 + 800t + 300}{8t^2 + 10t + 100}[/tex]
[tex]72t^2 + 90t + 900 = 20t^2 + 800t + 300[/tex]
[tex]52t^2 - 710t + 600 = 0[/tex]
Which is a quadratic equation with coefficients a = 52, b = -710, c = 600, hence:
[tex]\Delta = (-710)^2 - 4(52)(600) = 379300[/tex]
[tex]x_1 = \frac{710 + \sqrt{379300}}{104} = 12.7[/tex]
[tex]x_2 = \frac{710 - \sqrt{379300}}{104} = 0.91[/tex]
t is measured in years after 2000, the sales are of 9 million in the years of 2000 and 2012.
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Dana is buying Grandparents' Day gifts at the mall. She spends $13.75 on a teacup for her grandmother. She spends 4/5 of that on a coffee mug for her grandfather. How much money does Dana spend in all?
The total money Dana spent in all is $24.75
Ratio and proportionsRatio are written as fractions of two integers. For instance a/b.
Amount spent for grandmother = $13.75
Amount spent on grand father = 4/5 * 13.75
Amount spent on grand father = $11
Take the sum
Total money spent = $13.75 + $11
Total money spent = $24.75
Hence the total money Dana spent in all is $24.75
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1. Use the graph to predict the number of CDs the students at your high school bought in 2008.
The number of CDs the students at your high school bought in 2008 is 100
How to predict the number of CDs?The graph of the question is added as an attachment
From the graph, we have the following highlights:
The graph reaches a maximum of 200 in 2004Then it decreases by 25 each year2008 is 4 years from 2004.
So, the prediction is;
Year 2008 = 200 - 4 * 25
Evaluate
Year 2008 = 100
Hence, the number of CDs the students at your high school bought in 2008 is 100
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Everyday Math
583. Coin production In 1942 , the U.S. Mint produced 154,500,000 nickels. Write 154,500,000$in scientific notation.
Answer:
In 1942 , the U.S. Mint produced 154,500,000 nickels. The scientific notation of 154,500,000 is obtained as [tex]$1.545 \times 10^{8}$[/tex].
Step-by-step explanation:
In the problem, it is given that in 1942, the U.S. Mint produced 154,500,000 nickels.It is required to write 154,500,000 in scientific notation.To solve this first, move the decimal point so that the first factor is greater than or equal to 1 also it should be less than 10.Count the number of decimal places n, and write the number as a product with a power of 10. Then check the answer.Step 1 of 2
Obtain the scientific notation.
Here the original number, 154,500,000 is greater than 1 so we will have a positive power of 10 .
Move the decimal point to get 1.545, a number between 1 and 10 . Then we get,
1.54500000
The count of the number of decimal places the point was moved is 8 .
Write as a product with a positive power of 10 .
[tex]$1.545 \times 10^{8}$[/tex]
Step 2 of 2
Check the answer.
Rewrite and simplify to check our answer.
[tex]$$\begin{gathered}1.545 \times 10^{8}=1.545 \times 100000000 \\=154500000\end{gathered}$$[/tex]
quadratic formula 2x^2-9x-35=0
Hello,
2x² - 9x - 35 = 0
a = 2 ; b = -9 ; c = -35
∆ = b² - 4ac = (-9)² - 4 × 2 × (-35) = 361 > 0
x1 = (-b - √∆)/2a = (9 - 19)/4 = -10/4 = -5/2
x2 = (-b + √∆)/2a = (9 + 19)/4 = 28/4 = 7
S = {-5/2 ; 7}
Answer:
So x = -5/2, 7.
Step-by-step explanation:
2x^2 - 9x - 35 = 0
Let's see if we can factor this.
We need 2 numbers whose product is 2* -35 ( that is -70) and whose sum is -9.
They are -14 and 5, so we write:
2x^2 - 14x + 5x - 35 = 0
Now we factor by grouping:
2x(x - 7) + 5(x - 7) = 0
(2x + 5)(x - 7) = 0
So x = -5/2, 7.
A quantity with an initial value of 130 decays exponentially at a rate such that the
quantity cuts in half every 9 weeks. What is the value of the quantity after 21 days
A quantity with an initial value of 130 decays exponentially at a rate such that the quantity cuts in half every 9 weeks. 103.18 is the value of the quantity after 21 days.
What is exponential decay?A process known as exponential decay is when a quantity diminishes over time at a pace that reduces proportionately as the amount shrinks.
The term "exponential decay" refers to a population's or group's rate of decline when it is proportionate to the size of the population. The overall value falls in exponential decay, yet the percentage that departs stays constant over time.
Let, y = 130. aˣ
here, x = number of days
Given that,
A quantity with an initial value of 130 decays exponentially.
the quantity cuts in half every 9 weeks
the value of the quantity after 21 days = ?
So, 130 × [tex]a^{(7\times9) }[/tex] = 130 × (1/2)
or, a⁶³ = 1/2
or, a [tex](1/2)^{(1/63)}[/tex]
Thus, y = 130 × [tex](1/2)^{(x/63)}[/tex]
when x = 21
thus, y = 130 ×[tex](1/2)^{(21/63)}[/tex]
y = 130 × [tex](1/2)^{(1/3)}[/tex]
y ≈ 103.18
Hence, 103.18 is the value of the quantity after 21 days.
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Solve the Percent Discount Application.
The local grocery store has just marked down a patio set by 20%. If the patio set costs $79.90, what is the discounted price?
$63.92
$94.80
$15.80
$70.00
Use the law of cosines to find the value of cos0. Round your answer to two decimal places.
A.0.22
B.0.84
C.0.35
D.-1.04
Using the law of cosines on the given triangle, we see that; cosθ = 0.22
How to use the law of cosines?The law of cosines is expressed as;
c² = a² + b² - 2ab cos C
Now, in this case the angle is θ and employing this law of cosines gives us;
10.2² = 5.7² + 9.8² - 2(5.7 * 9.8)*cosθ
104.04 = 32.49 + 96.04 - 111.72 * cosθ
104.04 = 128.53 - 111.72 * cosθ
(128.53 - 104.04)/111.72 = cosθ
cosθ = 0.22
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can so.eone explain to me by what bisecting intervals are?
When you bisect something, you cut it into two equally sized pieces. (from Latin: "bi" = two, "sect" = cut)
Bisecting an interval creates two smaller intervals each with half the length of the original interval. Some examples:
• bisecting [0, 2] gives the intervals [0, 1] and [1, 2]
• bisecting [-1, 1] gives the intervals [-1, 0] and [0, 1]
• bisecting an arbitrary interval [tex][a,b][/tex] gives the intervals [tex]\left[a,\frac{a+b}2\right][/tex] and [tex]\left[\frac{a+b}2,b\right][/tex]
What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5
x minus 3.x – 3?
The slope of the line represented by the given equation is 0.8
Slope of a lineFrom the question, we are to determine the slope of the line represented by the given equation
The given equation is
[tex]y = \frac{4}{5} x-3[/tex]
The slope-intercept form of the equation of a line is given as
y = mx + c
Where m is the slope or gradient
and c is the y-intercept
By comparing with the given equation,
m = 4/5
m = 0.8
Hence, the slope of the line represented by the given equation is 0.8
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Show that √5×√20 is an integer?
Answer:
See below.
Step-by-step explanation:
1) Simplify √20 to 2√5.
√5 × 2√5
2) Simplify.
2√5×5
3) Simplify 5 × 5 to 25.
2√25
4) Since 5 × 5 = 25, the square root of 25 is 5.
2 × 5
5) Simplify.
10
When evaluated, this expression equals a positive whole number, therefore showing it is a integer.
The formula for the perimeter of a rectangle is P = 2 (1+w).
The equation of L is L = 0.5P - W
How to solve for L?The formula is given as:
P = 2(L + W)
Divide through by 2
0.5P = L + W
Subtract W from both sides
L = 0.5P - W
Hence, the equation of L is L = 0.5P - W
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Complete question
The formula for the perimeter of a rectangle is P=2(l+w). Solve for l.
I am not able to solve this question
Answer:
C
Step-by-step explanation:
join my stream for an explanation
(ChildofHermes)
please mark brainliest
im only streaming for 15 more hours
Answer:
Choice C
Step-by-step explanation:
2654^0 and 5^0
Which is greater?
There's a law of exponents for solving this type of question.
The law states that,
x^0 = 1Same case here.
2654^01And,
5^0 1Hence, they are same.
2654⁰ = 5⁰
Help pls asap
If sine < 0 and tans > 0 then:
OA. 180° << 270°
OB. 0° <9< 90°
C. 270° << 360°
OD. 90° << 180°
Answer:
The answer is C. 270° < ∅ < 360°
Step-by-step explanation:
Given information:
sine < 0 and tans > 0.
Quadrant where sine < 0 is either III or IV.
Quadrant where tans > 0 is either I or III.
It is Quadrant III that has both sines < 0 and tans > 0.
what is the slope of y=5/4x-7/4?
Answer:
5/4 or 1.25
Step-by-step explanation:
y=mx+b is the form of all linear equations
m is the slope
here m = 5/4 so the slope is 5/4 or 1.25
please help ill appreciate it best answer gets the brainliest answer.
Answer:
Graph #1
Step-by-step explanation:
In this distance v time graph, a negative slope means moving toward Mr. Wilson, a positive slope means moving away from Mr. Wilson, and a flat section means staying at a particular location without moving.
The expression x-y equals 0.7 if x and y have certain values. Evaluate the following expression with the same values of x and y
1/x-y
Answer:
1/0.7
Step-by-step explanation:
The expression x-y equals to 0.7 so we have to substitute 0.7 in the place of x-y....
----> 1/0.7
Dividing would make this equal to a long division answer (1.42857142857) so let's just leave it as a fraction!
I hope this helps! :)
look at the image.......
Answer: 70.9 miles per hour
Step-by-step explanation:
The total distance traveled is 1188 miles (66313- 65125).
Since this was over 16.75, you'll want to divide 1188 by 16.75.
1188/16.75 = 70.9253731
And then round that off to 70.9
How do you Calculate the mean,median and mode in grouped data.
Answer:
The mean:
data: 3,6,9,10
You first add all of the numbers together.
3+6+9+10= 28
There 4 numbers in the data set, so you divide 4 by the sum of all of the numbers.
28/4= 7
So the mean is 7.
The median:
data: 3,6,9,10
first put all of the numbers in numerical order.
3,6,9,10
Then you find the middle number in the data set.
3,6,(the middle number here),9,10
to find the middle number, do the mean of 6 and 9
The mean of 6 and 9 is 7.5
So, 7.5 is the median
another example: 3,4,7,9,13
The middle number is 7
so 7 is the median
The mode:
data: 3,6,9,10
The mode is the number that is repeated the most
in this data, there is no mode.
but in this data: 4,4,6,9,11
4 is the mode because it was repeated the most
Write the following using index notation:
a) 4×4
b) 5x5x5x5
c) 3 × 7 × 7 × 7 × 7
d) 2× 9 × 9 × 9×2×9
Step-by-step explanation:
4^2
5^4
3^1×7^4
2^2 ×9^4
Can you help me with these two because I don't understand
Answer: 1: 34 units 2: 24.5
Step-by-step explanation:
For figure 1, just split the area into squares and triangles and find the area of each. If you split figure 1 into 1 square and 3 triangles you get...
4x4= 16
(4x3)/2= 6
(4x4)/2= 8
(4x2)/2= 3
16+6+8+3 = 34
You do the same for figure 2, but use 4 triangles and 1 tiny square
1x1= 1
(4x3)/2= 6
(3x3)/2= 4.5
(4x4)/2= 8
(5x5)/2= 5
1+6+4.5+8+5= 24.5
You shouldn't need to worry about negative numbers because you are looking at the area
Write a compound inequality that represents the given graph:
OA.x < -2 and x ≥ 4
OB.x < -2 or x ≥4
OC.-2
OD.-2≥x>4
Answer: the correct answer is choice A
Step-by-step explanation:
This is because the inequality symbols are pointed the correct way. The symbols are also showing the correct answers with the greater than or equal to sign is on the correct point value. You find the place for the equal to or greater/less than symbol by the open or closed circle point. An open circle means the number is not included in the answer while a closed circle is included in the answer.