Answer
sonu's age=16years
mothers age=44years
Step-by-step explanation:
sonu's age be x
then, mothers age will become 2x+12
after 8years,
sonu's age=x+8
mother's=2x+12+8
a/q
3(x+8)-20=2x+12+8
3x+24-20=2x+20
3x+4=2x+20
3x-2x=20-4
x=16
sonu's age=16years
mothers age=44years
Given that cos x = 3/5 and 0
Answer:
What do we have to do in this? Find x? Let me know I'll explain it in the comment section
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 17 Pennies 10 Dimes 19 Nickels 21 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
19/67
Step-by-step explanation:
I think this would be the answer. You add up 17,10,19, and 21, and then use the PROBABILITY of drawing the nickels which would be 19/67, im not sure tho, let me know if it works
Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?
Answer:
D. They are not commutative, because f(g(x)) and g(f(x) are not equal.
Step-by-step explanation:
I guessed and got it right xD
Answer: D
They are not commutative, because f(g(x)) and g(f(x) are not equal.
Step-by-step explanation:
Which example is a nonrenewable energy source?
sunlight
wind
geothermal
coal
let f(x)represent a function. drag and drop the answers into the boxes to correctly match the descriptions with the given transformations.
The function f(x) is f(x)-4 is f(x) is translated 4 units down and 4f(x) is f(x) vertically stretched by a factor of 4.
Given that,
Let f(x) stand in for a function. To appropriately match the descriptions with the suggested transformations, drag and drop the solutions into the appropriate boxes.
We have to find the blanks in the image.
We know that,
A function is represented by f(x).
F(x) is translated up or down when a number is added or subtracted with f(x) at the end.
f(x) is translated "a" units up when f(x) + a.
The translation of f(x) from "a" units down is f(x).
The translation from f(x) to f(x) is 4 units down.
When f(x) is multiplied by any number, f(x) is compressed or stretched vertically.
f(x) is extended vertically by a factor of 4 when f(x) --> 4f(x) > 1.
Therefore, The function f(x) is f(x)-4 is f(x) is translated 4 units down and 4f(x) is f(x) vertically stretched by a factor of 4
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8. A = 84 in?
height = 4.2 in
Answer:
35 inches
Step-by-step explanation:
trough subtitution method and destributive equation
Find the coordinates of the point 3/10 of the way from A to B. The points given are A(-3,-5) , B(9,6)
\(\displaystyle\\Answer:\ (-\frac{3}{13},-2\frac{6}{13} )\)
Step-by-step explanation:
\(\displaystyle\\\frac{3}{10} =0.3\\\\(-3,-5)\ \ \ \ \ (9,6)\\\\\boxed {x=\frac{x_1+\lambda x_2}{1+\lambda} }\ \ \ \ \ \ \ \ \ \ \ \boxed {y=\frac{y_1+\lambda y_2}{1+\lambda} }\\\\x_1=-3\ \ \ \ \ x_2=9\ \ \ \ \ y_1=-5\ \ \ \ \ \ \ y_2=6\\\\x=\frac{-3+0.3*9}{1+0.3} \\\\x=\frac{-3+2.7}{1.3} \\\\x=\frac{-0.3}{1.3}\\\\ x=-\frac{0.3*10}{1.3*10}\\\\ x=-\frac{3}{13} \\\\\)
\(\displaystyle\\y=\frac{-5+0.3*6}{1+0.3} \\\\y=\frac{-5+1.8}{1.3} \\\\y=\frac{-3.2}{1.3} \\\\y=-\frac{3.2*10}{1.3*10} \\\\y=-\frac{32}{13} \\\\y=-2\frac{6}{13} \\\)
8. The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 top-ranking restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving for a business trip to Boston and will cat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner. a) What is the probability that none of the meals will exceed the cost covered by your company
Answer:
0.2637
Step-by-step explanation:
Population size is top 15 ranking restaurants.
Number of draws = 3
Number of observed successes = 5
Probability formula : [r . x } { n -r] [n - x]
solving the equation we get 24 / 91 which is approximately 0.2637
A group of volunteers has been collecting toys to deliver to a local charity. Over the last 5 days, the volunteers have collected 425 toys. What has been their collection rate, in toys per day?
Answer:
Their rate was 85 toys per day.Step-by-step explanation:
Given equation:
425 ÷ 5Now, let's solve the equation:
425 ÷ 5= 85Their rate was 85 toys per day.
Find the area of the figure please
Answer:
16m
Step-by-step explanation:
Separate the rectangle from the triangle. The area of the rectange is 10m. We know this because l x w (2m x 5m).
Now for the triangle;
The area of a triangle is b x h / 2. We take the full height of the figure and subtract 5 from it giving us 3 which is our height for the triangle. We then see that 2m is on the bottom and we add that 2m to the two separate 1m giving us 4m in total.
Now that we have the base and height of the triangle we plug in giving us 6m. Finally we add both the areas; 10m + 6m = 16m.
Answer:
I did the math and I got 216.48 for the answer.
Step-by-step explanation:
If I got it wrong plz tell me so I could fix it, thx.
How would I solve for x? Write an explanation thx.
Answer:
Step-by-step explanation:
For any quadrilateral the sum of all the angles equal 360 so you can add all angles and set =360
x + 2x +3x 3x = 360 >This is your equation, combine like term
9x = 360 >Divide both sides by 9
x = 40
Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation.
Answer:
24 + 6
Step-by-step explanation:
What is 2.97239915 rounded to the nearest ten?
Answer:
3.0000
Step-by-step explanation:
Answer:
i'm assuming you mean tenth so 3
Step-by-step explanation:
you start by looking at just 2.97, the seven will round the 9 up to a ten so you will add one to the 2 and end up with 3 as your answer
PLS HELP :Find all the missing elements:
Answer:
\(\large \boxed{\mathrm{34.2}}\)
Step-by-step explanation:
\(\sf B= arcsin (\frac{b \times sin(A)}{a} )\)
\(\sf B= arcsin (\frac{7 \times sin(40\°)}{8} )\)
\(\sf B = 0.59733 \ rad = 34.225\°\)
What is the purpose of data? Answer below.
The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.
Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.
By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.
For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.
Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.
Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.
Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.
Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.
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The width of a rectangle is the length minus 5units the area of the rectangle is 24 square units what is the length in units of the rectangle?
The area of the rectangle is 8 units
How to determine the valuesThe formula for determining the area of a rectangle is expressed as;
A = lw
Such that the parameters are;
A is the area of the rectanglel is the length of the rectanglew is the width of the rectangleNow, substitute the values, we get;
24 = l(l - 5)
expand the bracket, we have;
24 = l²- 5l
l² -8l + 3l - 24 = 0
Factorize the expression, we get;
l( - 8) + 3(l - 8) = 0
Then, we get;
l = -3
l = 8 units
Hence, the length is 8 units
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NO LINKS!! URGENT HELP PLEASE!!!
9. Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)
Answer:
y= -x²-4x+2
Step-by-step explanation:
write in vertex form
a(x-h)²+k
in our case h = -2 and k= 6
y=a(x+2)²+6
now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a
-3= a(1+2)²+6
-9=9a
a= -1
thus the formula is -(x+2)²+6
generally, teachers want things in standard form, so expand the exponent and simplify.
-(x²+4x+4)+6
y= -x²-4x+2
Answer:
\(y = -x^2 - 4x + 2\)
Step-by-step explanation:
The equation of a parabola in vertex form is:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex of the parabola.
In this case, the vertex is (-2, 6), so h = -2 and k = 6.
We also know that the parabola passes through the point (1, -3).
Plugging these values into the equation, we get:
\(-3 = a(1 - (-2))^2 + 6\)
\(-3 = a(3)^2 + 6\)
-9 = 9a
a = -1
Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:
\(y = -1(x + 2)^2 + 6\)
This equation can also be written as:
\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)
Parallelogram I is a scaled copy of parallelogram H.
What scale factor takes parallelogram H to parallelogram I?
1 ÷ 3 is the scale factor that takes parallelogram H to parallelogram I.
If Parallelogram I is a scaled replica of Parallelogram H, then perhaps the figure in which every length in the initial estimate is multiplied by the exact number.
Scale factor = size of new shape ÷ size of the old shape.
The magnification ratio of a parallelogram I is significantly 3 times that of parallelogram H this ratio could be only assumed when the data is not given.
The polygon will be reduced if the magnification ratio would be between 0 and 1. The picture will be magnified if the zoom ratio is larger than one.
The scale factor refers to the ratio of the old thing's scale to the new object's scale. Although the size of these ratios varies, they are useful.
Use negative magnification to enlarge the picture. Whenever the scale factor is negative, the value diverges from the scale.
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The complete question is -
Parallelogram I is a scaled copy of parallelogram H. What scale factor takes parallelogram H to parallelogram I in the image?
The scaling factor that transforms parallelogram H into parallelogram I is 1/3.
If Parallelogram I is a scaled-down version of Parallelogram H, then it might be the result of multiplying each length in the initial estimate by a precise value.
Scale factor is equal to new shape's size minus old shape's size.
A parallelogram I's magnification ratio is noticeably three times greater than a parallelogram H's. Only in cases where no data is provided may this ratio be assumed.
If the magnification ratio is in the range between 0 and 1, the polygon will be smaller. If the zoom ratio exceeds one, the image will be enlarged. The scale factor is the ratio of the scale of the old thing to the scale of the new thing.These ratios are helpful despite the fact that their sizes differ.
Enlarge the image by applying negative magnification. The value deviates from the scale whenever the scale factor is negative.
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please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
6(-3) - | -5 | + | 3 | =
16
-10
-20
Answer:
its negative 20
Step-by-step explanation:
-20
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1436 referee calls, with the result that 424 of the calls were overturned. Women challenged 754 referee calls, and 222 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below.
There is no sufficient evidence to suggest that men and women have equal success in challenging calls. This was illustrated in the hypothesis.
How to compute the value?It should be noted that based on the information given, P1 will be:
= 424/1436
= 0.295
P2 will be:
= 222/754
= 0.294
The value of the test statistic will be:
= (424 + 222)/(1436 + 754)
= 646/2190
= 0.2949
In this case, the value of the test statistic falls on the rejection region, therefore, there is no sufficient evidence to suggest that men and women have equal success in challenging calls.
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20/5 as a whole number
Answer:
4 is the answer
Step-by-step explanation:
9000000000000000000000000000x1000003848645356888829911111
Answer:
9.1200003464E54
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Does this appear to be a regular polygon? Explain.
No, it is not a regular polygon.
What is a convex hexagon?A hexagon is a six sided polygon. And a convex hexagon means, the hexagon's vertices are pointed outwards.
And no interior angle has an angle measure more than 180°.
Given:
A polygon.
To be a regular polygon:
Given Hexagon,
should have equal sides and equal angles.
We have no information about the angles and sides.
Therefore, it is not a regular polygon.
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Mme potatana ask the children to count as a whole class from 1 to 20 Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count. in your view support the method that you find important to enhance the strong number sense. Provide appropriate examples for your chosen method.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
In order to enhance strong number sense in children, there are various methods that can be used.
In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.
Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.
This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.
Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:
1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.
2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.
3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.
Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
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find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²Evaluate 9 divided by 3 [(18-6)-2 to the second power]
Answer: 24
I hope this helped
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
A garden is shaped like a rectangle whose perimeter is 150 ft. The length is 2 times as long as the width. Find the length and the width.
Answer:
Step-by-step explanation:
L=2W
P=2(L+W), using L=2W this becomes
P=2(2W+W)
P=2(3W)
P=6W, given P=150
6W=150
W=25, and since L=2W
L=50 so
L=50ft and W=25ft