1,289,845 rounded to the nearest ten thousand is 1,290,000.
Explanation:To round 1,289,845 to the nearest ten thousand, we need to look at the digit in the ten thousandth place, which is the 8 in this case. If the digit is 5 or greater, we round up, and if it is less than 5, we round down. Since the 8 is greater than 5, we round up. To do this, we keep the digit in the ten thousandth place as it is and change all the digits to the right of it to zeros. Therefore, 1,289,845 rounded to the nearest ten thousand is 1,290,000.
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Graph the set of points. Which model is most appropriate for the set? (-2, 10), (-1,1), (0, -2), (1, 1), (2, 10)
Quadratic
Quadratic
Liner
Exponential
Answer:
The model that is most appropriate for the set is:
Quadratic.
Step-by-step explanation:
Clearly after looking at the graph of the function which is made from the given set of points ; we observe that the graph is similar to a graph of the quadratic function whose vertex is at (0,-2) and also the line x=0 is the axis of symmetry of the graph.
Since, the graph is symmetric to this line.
Hence, the model is:
Quadratic.
If 8 cakes cost £4.00 how much would 3 cakes cost?
This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep. What is the volume of the box ?
Answer:
The volume of the box is 0.09375 inches cube.
Step-by-step explanation:
Given : This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep.
To find : What is the volume of the box ?
Solution :
The dimension of the box is,
Length = [tex]l=\frac{3}{4}[/tex] inches
Breadth = [tex]b=\frac{1}{2}[/tex] inches
Height = [tex]h=\frac{1}{4}[/tex] inches
The formula of volume of the box is
[tex]V=l\times b\times h[/tex]
[tex]V=\frac{3}{4}\times \frac{1}{2}\times\frac{1}{4}[/tex]
[tex]V=\frac{3}{4\times 2\times 4}[/tex]
[tex]V=\frac{3}{32}[/tex]
[tex]V=0.09375in^3[/tex]
Therefore, The volume of the box is 0.09375 inches cube.
The volume of the box is 3/32 cubic inches.
Given
This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep.
The volume of the box;The volume of the box is given by-product of length, width, and height.
The volume of the box is determined by the following formula;
[tex]\rm Volume \ of \ box =Height\times Width \times length[/tex]
Substitute all the values in the formula;
[tex]\rm Volume \ of \ box =Height\times Width \times length\\\\\rm Volume \ of \ box =\dfrac{3}{4}\times \dfrac{1}{2} \times \dfrac{1}{4}\\\\\rm Volume \ of \ box =\dfrac{3}{32} \ cubic \ inches[/tex]
Hence, the volume of the box is 3/32 cubic inches.
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A scooter can travel 72 mi per gallon of gasoline and holds 2.3 gal. the function d(x)-72x represents the distance d(x), in miles, that the scooter can travel with x gallons of gasoline. How many miles can the scooter go with a full tank of gas ?
what value of c makes the statement true? -2x^3(cx^3+x^2)=-10x^6- 2x^5
what is the scale factor of 25ft by 75ft and 1:15
If guy walks from his house to school and back,how far does he walk?
Final answer:
The total distance walked by someone from home to school and back depends on the distance covered in each direction, for example, if a person walks 2 kilometers to school and 2 kilometers back, the total distance walked is 4 kilometers.
Explanation:
The total distance walked by the guy from his house to school and back depends on the exact distance he covers in each direction. If he walks 2 kilometers to school and 2 kilometers back, then the total distance walked would be 4 kilometers.
Amy walks 5 miles north. Then, she turns east and walks another 6 miles before she stops to rest.
How far is Amy from her starting point when she stops to rest?
Round your answer to the nearest tenth
beer Bottles are filled so that they contain an average of 475 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 8 ml.
Final answer:
The question is related to the mathematics subject area and addresses the high school grade level. It involves understanding the normal distribution, mean, standard deviation, and the application of these concepts in quality control and filling volumes for beverage containers.
Explanation:
The subject of the question relates to the concept of normal distribution, which is a fundamental concept in statistics, a branch of mathematics. The student is provided with the information that beer bottles are filled so that they contain an average of 475 ml of beer, with the amount of beer being normally distributed and having a standard deviation of 8 ml. This scenario involves understanding concepts like mean, standard deviation, and the properties of a normal distribution.
To visualize similar quantities, consider that an eyedropper holds about 1 milliliter, a juice box holds about 25 centiliters (or 250 milliliters), and a soda bottle holds about 1 liter. The provided beer bottle contains roughly half the amount of a typical soda bottle. Knowledge of standard units such as liters and milliliters is essential in this context.
Furthermore, the question can be connected with practical scenarios such as the filling volumes for beverage containers, where manufacturers need to ensure that the bottles and cans contain the labeled amount of liquid. Quality control relies on statistics to test whether the actual amounts meet the desired standards, factoring in variations from measurement processes or filling mechanisms.
19 tens + 11 tens equal
a 25000 gallon swimming pool is being filled. Two hundred and fifty gallons are in it after 30 minutes. How many hours will it take to fill the pool?
In 30 minutes, 250 gallons are filled in the swimming pool. In the same rate in 1 hours (which means 60 minutes), 500 gallons will be filled.
Let x be the number of hours it will take to fill the entire swimming pool which has the capacity of 25,000 gallons.
We need to set up a proportion like given below:
[tex] \frac{Number \; of \; Hours }{Amount \; of\; water \; in\; gallons} =\frac{x}{25,000} =\frac{1}{500} [/tex]
Solving the equation for x:
[tex] \frac{x}{25000} =\frac{1}{500} \\ Multiply \; 25000\; on\; both\; sides\; of\; the \; equation\\ \\ 25000 \times \frac{x}{25000} =\frac{1}{500} \times 25000\\ Simplify \; on \; both \; sides\\ \\ x \; = \; \frac{25000}{500} \; = 50 \; hours [/tex]
Conclusion:
The number of hours that will take to fill the pool is 50 hours !
Algebra problem #1 help (pic included)
3 and 1/3x + 5.3 = -2. What is x?
fast help plz.Brennon has a computer game that responds with either "go" or "stop" when a button is pressed. The probability that the response is "stop" is not known to game players. Brennon presses the button repeatedly and records the numbers of "stop" responses.
Number of button presses 10 50 100
Number of "stop" responses 2 18 33
Estimate P(go) using the collected data
G. 67%
O. 18%
L. 50%
D. 33%
plz help i had to write this whole thing
What is the area of this figure?
You don't need to explain, just try to write the answer and then PRESS PIC
1) Simplify x + 2x by adding the like terms.
x
2x
3x
2) Simplify y - y + y + y by adding the like terms.2y
3y
4y
5y 4x
How do you convert a whole number to a percentage?
Final answer:
To convert a whole number to a percentage, multiply the number by 100 and add the percent symbol. For instance, converting the whole number 3 to a percentage results in 300%.
Explanation:
How to Convert a Whole Number to a Percentage
To convert a whole number to a percentage, you simply multiply the number by 100 and add the percent (%) symbol to the result. This is because a percentage represents a part per hundred. For example, to convert the whole number 3 to a percentage, you multiply it by 100, which equals 300%. Here's the step-by-step process:
Start with the whole number (e.g., 3).
Multiply the whole number by 100 (3 x 100 = 300).
Add the percent symbol to express the result as a percentage (300%).
This method is a straightforward percentage calculation, turning a whole number into its equivalent percentage form.
Anna plants peas in 3/8 of her garden and herbs in 1/8 of it . She divides The rest of the garden into 6 sections. What fraction of the original garden is each section
The six sections would be 1/12
Select the graph that represents the following: -5
Each pair of polygons is similar .Determine the transformation that maps one figure onto the other . Then find the missing side measures number 4 please
if you vertically compress the absolute value parent function f(x)=|x| by a factor of 3 what is the equation of the new function
Answer:
The equation for new function is [tex]y=\frac{1}{3}|x|[/tex]
Step-by-step explanation:
We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.
If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.
We have below conditions for vertical stretch and compression.
a > 1 => vertically stretch
0 < a < 1 => vertically compression
Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3
Therefore, the equation for new function is [tex]y=\frac{1}{3}|x|[/tex]
Answer:
g(x) = 1/3 |x| !
Step-by-step explanation:
I hope this helps!
A law firm has nine senior and six junior partners. A committee of three partners is selected at random to represent the firm at a conference. What is the probability that at least one of the junior partners is on the committee?
A particular fruit's weights are normally distributed, with a mean of 611 grams and a standard deviation of 28 grams. The heaviest 2% of fruits weigh more than how many grams? Give your answer to the nearest gram.
Rewrite the given expression in the form 3^u where u is a constant or an algebraic expression.
(5√3)^x
Rewrite the expression in the form 2^u where u is an algebraic expression
(1/2)^x-3
Rewrite the expression in the form 2 Superscript u where u is an algebraic expression
9/3√3
Rewrite the expression in the form 2 Superscript u where u is an algebraic expression
16/3√2^x
Solution: (1) The expression [tex](5\sqrt{3} )^x[/tex] [tex]\text{ is written as }[/tex] [tex]5^x3^{\frac{x}{2}[/tex].
[tex](5\sqrt{3} )^x=5^x(\sqrt{3} )^x\\(5\sqrt{3} )^x=5^x(3^\frac{1}{2} )^x\\(5\sqrt{3} )^x=5^x3^\frac{x}{2}[/tex]
The value of u is [tex]\frac{x}{2}[/tex].
(2) The expression [tex](\frac{1}{2})^x-3[/tex] is written as [tex]2^{-x}-3[/tex].
[tex](\frac{1}{2})^x-3=(2^{-1})^x-3\\(\frac{1}{2})^x-3=2^{-x}-3[/tex]
The value of u is -x.
(3) The expression [tex]\frac{9}{3\sqrt{3} }[/tex] is written as [tex]\sqrt{3} (2^0)[/tex].
[tex]\frac{9}{3\sqrt{3} }=\frac{9}{3\sqrt{3} }(\frac{\sqrt{3}}{\sqrt{3}} )\\\frac{9}{3\sqrt{3} }=\frac{9(\sqrt{3}) }{3(3) }\\\frac{9}{3\sqrt{3} }=\sqrt{3} \\\frac{9}{3\sqrt{3} }=\sqrt{3}(2^0)[/tex]
THe value of u is 0.
(4)The expression [tex]\frac{16}{3(\sqrt{2^{x}} )}[/tex] is written as [tex]\frac{1}{3}(2^{4-\frac{x}{2}})[/tex].
[tex]\frac{16}{3(\sqrt{2^{x}} )}=\frac{2^4}{3(2^x)^{1/2}}\\\frac{16}{3(\sqrt{2^{x}} )}=\frac{1}{3}(2^{4-\frac{x}{2}})[/tex]
The value of u is [tex]4-\frac{x}{2}[/tex].
Final Answer:
1. [tex]\( (5\sqrt{3})^x \) in the form \( 3^u \): \( 3^{x\log_3(5\sqrt{3})} \)[/tex]
2. [tex]\( (1/2)^{x-3} \) in the form \( 2^u \): \( 2^{-(x-3)} \)[/tex]
3. [tex]\( \frac{9}{3\sqrt{3}} \) in the form \( 2^u \): \( 2^{2/3} \)[/tex]
4. [tex]\( \frac{16}{3\sqrt{2^x}} \) in the form \( 2^u \): \( 2^{(2x-4)/3} \)[/tex]
Explanation:
1. [tex]\( (5\sqrt{3})^x \) in the form \( 3^u \): \( 3^{x\log_3(5\sqrt{3})} \)[/tex]
To express [tex]\( (5\sqrt{3})^x \)[/tex] in the form [tex]\( 3^u \)[/tex], we use the logarithmic property [tex]\( a^{\frac{1}{n}} = n\sqrt[n]{a} \)[/tex]. Applying this, we get [tex]\( 5\sqrt{3} = 3^{\frac{\log_3(5\sqrt{3})}{\log_3(3)}} \)[/tex], and raising it to the power ( x ) yields the desired form.
2. [tex]\( (1/2)^{x-3} \) in the form \( 2^u \): \( 2^{-(x-3)} \)[/tex]
To rewrite [tex]\( (1/2)^{x-3} \)[/tex] in the form [tex]\( 2^u \)[/tex], we use the property [tex]\( a^{-b} = \frac{1}{a^b} \)[/tex]. Applying this, we transform the expression to [tex]\( 2^{-(x-3)} \)[/tex], achieving the desired form.
3. [tex]\( \frac{9}{3\sqrt{3}} \) in the form \( 2^u \): \( 2^{2/3} \)[/tex]
By canceling out the common factor of 3 in the numerator and denominator, we simplify [tex]\( \frac{9}{3\sqrt{3}} \)[/tex]to [tex]\( 2^{2/3} \), as \( \sqrt{3} = 3^{1/2} \)[/tex].
4. [tex]\( \frac{16}{3\sqrt{2^x}} \)[/tex] in the form [tex]\( 2^u \): \( 2^{(2x-4)/3} \)[/tex]
Applying the property[tex]\( a^{-b} = \frac{1}{a^b} \)[/tex] to the denominator, we simplify [tex]\( \frac{16}{3\sqrt{2^x}}[/tex] to [tex]\( 2^{(2x-4)/3} \)[/tex], achieving the desired form.
When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number that is 5 less than x. What is the value of x?
can someone help me i am confused
Answer:
It is 8
Step-by-step explanation:
Can someone please answer this question here are the answers to the question:
A. 1,209 square feet
B. 1,298 square feet
C. 869 square feet
D. 699 square feet
What is the factor pairs of 78
Joe went to the hobby shop and bought 2 model sports cars at $8.95 each and some paints. If he spent a total of $23.65, what was the cost of the paints
Can someone help my sister Kathy with this