The equivalent measure of 10 L when rounded to nearest 10 is 10,000 ML.
According to the question,
We have the following information:
10 Litres
Now, to find the equivalent measurement, we will convert 10 L into another unit. Let's convert litres into mililitres.
We know that 1 litre is equal to 1000 ml.
So, we have the following expression:
1 litre = 1000 ml
10 litres = 10*1000 ml
10 l = 10,000 ml
Now, rounding it off to nearest 10, we will get:
10,000 ml (Because the number right next to ten place value is 0. Hence, the digits are same.)
Hence, the equivalent measure of 10 L when rounded to nearest 10 is 10,000 ML.
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Victoria needs an average of 90% to get an "a" in science class. so far her scores are 88. 86, and 92. what is the lowest score she can get to receive an "a" in science?
By solving a linear inequation, it is obtained that
Victoria should get a minimum marks of 94 to get 'a' in science
What is linear inequation?
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, [tex]\geq[/tex], [tex]\leq[/tex]
A one degree inequation is known as linear inequation.
Here, an inequation needs to be solved
Suppose the full marks of Victoria in each subject is 100
Marks obtained by Victoria in Science = 88, 86, 92
Let the fourth marks be x,
Average marks = [tex]\frac{88 + 86 + 92 + x}{4}[/tex]
= [tex]\frac{266 +x}{4}[/tex]
By the Problem,
[tex]\frac{266 + x}{4} \geq 90\\266 +x \geq 90\times 4\\266 +x \geq 360\\x \geq 360-266\\x\geq 94[/tex]
Victoria should get a minimum marks of 94 to get 'a' in science
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please answer this question
It's really important
Find the measure of the marked angles.
The measure of the angles is ____ degrees.
Answer:
(3x + 36) is equal to (6x + 9) because they are vertically opposite angles.
3x + 36 = 6x + 9
3x = 27
x = 9
Substitute x = 9 into one of the angles to find the measure.
3(9) + 36 = 63
Angle measure is 63°.
The measure of the angles is 63 degrees.
Both (3x + 36) and (6x + 9) are equal to 63 degrees.
Given that are two vertically opposite angles (3x+36) and (6x+9) we need to find the measure of the angles,
Vertically opposite angles are formed when two lines intersect, and they are equal in measure.
In this case, we have two vertically opposite angles: (3x + 36) and (6x + 9).
Since the angles are equal, we can set them equal to each other and solve for x:
3x + 36 = 6x + 9
To isolate the x term, let's subtract 3x from both sides:
36 = 6x - 3x + 9
Combining like terms:
36 = 3x + 9
Next, let's subtract 9 from both sides:
36 - 9 = 3x
27 = 3x
To solve for x, we divide both sides by 3:
27/3 = 3x/3
9 = x
Now that we know the value of x, we can substitute it back into either of the original equations to find the measure of the angles.
Let's use the first angle (3x + 36):
Angle = 3x + 36
= 3(9) + 36
= 27 + 36
= 63
Hence, the measure of the angles is 63 degrees.
Both (3x + 36) and (6x + 9) are equal to 63 degrees.
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Haley got a 93% on her first math test and an 86% on her second test. What is her percent decrease from test 1 to test 2 to the nearest tenth?.
Haley’s Percentage Decrease from Test 1 to Test 2 to the nearest tenth is 7.5%
Nearest tenth can be defined as , Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value. Remove all the numbers that are present after the tenth place and leave the tenth place value alone if it is less than 5
Given that,
Haley’s Percent score in Test 1 = 93 %
Haley’s Percent score in Test 2 = 86%
Formula For calculating the Percentage Decrease is :
(Beginning Percentage – Final Percentage) / Beginning Percentage * 100
So, by using this formula we can calculate the percentage decrease of Haley’s Test
Percentage Decrease = (93% - 86%)/93% * 100
= 7.5%
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What is the slope-intercept form of the line represented in the table of values?
Answer:
y = -7x + 10
Step-by-step explanation:
As the y's are decreasing by 7, the x are increasing by 1. This gives us a slope of -7. When x is 0, y is 10 that is our y intercept.
To estimate the product 8.42 x 7.24, Marisa multiplied 9 x 8 to get 72. Complete the explanation for how
she can make a closer estimate.
Part 1 out of 2
8.42 is closer to
Check
15
and 7.24 is closer to
Next
The actual value is 8.42 x 7.24 = 59.6576.
as an estimate she has rounded the values up to the nearest whole number ;
i.e. 8.42 ≅ 9 and 7.24 ≅ 8
to obtain 9 x 8 to get 72.
What is rounded value?
Making a number simpler while maintaining a value that is close to what it was is known as rounding.
Although less accurate, the outcome is simpler to utilize.
For instance, 73 equals 70 when rounded to the closest 10, since 70 is closer to 73 than 80 is. However, 76 rises to 80.
What is whole number?
Complete numbers the range of numbers that includes zero and natural numbers. not a decimal or fraction. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer. a negative number, zero, or a counting number.
What is natural number?
Natural Numbers The numbers that we use when we are counting or ordering {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 …} Whole Numbers The numbers that include natural numbers and zero. Not a fraction or decimal.
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Select the correct answer. An archway is modeled by the equation y = -2x2 + 8x. A rod is to be placed across the archway at an angle defined by the equation x − 2.23y + 10.34 = 0. If the rod is attached to the archway at points A and B, such that point B is at a higher level than point A, at what distance from the ground level is point B? A. 8 units B. 6 units C. 5 units D. 3 units
Answer:
B. 6 units
Step-by-step explanation:
Given equations:
[tex]y = -2x^2 + 8x[/tex]
[tex]x-2.23y + 10.34 = 0[/tex]
The points at which the rod is attached to the archway are the points of intersection of the two equations.
Rearrange the second equation to make x the subject:
[tex]\implies x=2.23y-10.34[/tex]
Substitute this into the first equation to create a quadratic:
[tex]y = -2(2.23y-10.34)^2 + 8(2.23y-10.34)[/tex]
[tex]y = -2(4.9729y^2-46.1164y+106.9156) + 17.84y-82.72[/tex]
[tex]y=-9.9458y^2+92.2328y-213.8312+17.84y-82.72[/tex]
[tex]y=-9.9458y^2+110.0728y-296.5512[/tex]
[tex]-9.9458y^2+109.0728y-296.5512=0[/tex]
[tex]\boxed{\begin{minipage}{3.6 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}[/tex]
Solve the quadratic using the quadratic formula:
[tex]\implies y=\dfrac{-(109.0728) \pm \sqrt{(109.0728)^2-4(-9.9458)(-296.5512)}}{2(-9.9458)}[/tex]
[tex]\implies y=\dfrac{-109.0728 \pm \sqrt{99.12}}{-19.8916}[/tex]
[tex]\implies y=\dfrac{109.0728 \pm \sqrt{99.12}}{19.8916}[/tex]
[tex]\implies y=5.983867702, \quad y=4.982851918[/tex]
As point B is at a higher level than point A, the y-value of point B is approximately 6 units.
Therefore, point B is 6 units from ground level.
mr. dyer pours 2 cups of blue paint into a jar for each art station. how many jars can he fill with 1 gallon of blue paint?
If Mr. Dyer pours 2 cups of blue paint into a jar for each art station, then the he can fill 8 jars with 1 gallon of blue paint.
Number of cups of blue paint for each art station = 2 cups
Given that,
One cup = 8 ounce
1 gallon = 128 ounce
2 cups of blue paint = 2 × 8
= 16 ounce of blue paint
1 gallon of blue paint = 128 ounce of blue paint
Number of jars that he can fill with 1 gallon of blue paint = 1 gallon of blue paint / 2 cups of blue paint
Here we have to use division
= 128/16
= 8 jars
Hence, if Mr. Dyer pours 2 cups of blue paint into a jar for each art station, then the he can fill 8 jars with 1 gallon of blue paint.
The complete question is:
Mr. dyer pours 2 cups of blue paint into a jar for each art station. how many jars can he fill with 1 gallon of blue paint? One cup = 8 ounce and 1 gallon = 128 ounce
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a slice of cake is 20m due east and 10m due south. Another cake slice is 15m due west and 15m due north. Which slice is closer
The cake slice with 15m due west and 15m due north is closer
What is distance?Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.Distance is how far apart objects are.Here , the slice of cake is 20m due east and then 10 m due south.
consider it as triangle ABC.
Required Displacement can be calculated by Pythagoras theorem -
AC = √ ( AB )² + ( BC )²
By substitution,
⇒ AC = √ ( 20 )² + ( 10 )²
⇒ AC = √ ( 400 + 100 )
Simplifying this equation, we get
⇒ AC = √500
⇒ AC = 10 √5
⇒ AC = 22.56
Thus , The cake slice is 22.56 m far away.
Here another slice of cake is 15m due west and 15m due north.
consider it as a triangle DEF.
Therefore,
⇒ DF = √ ( DE )² + ( EF )²
By substitution,
⇒ DF = √ ( 15 )² + ( 15 )²
Simplifying this equation, we get
⇒ DF = √ ( 225 + 225 )
⇒ DF = √ 450
⇒ DF = 15 √2
⇒ DF = 21.21
Thus the cake slice is 21.21 m far away.
Therefore this slice is closer.
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30 points if you get this right
look at image below
The intervals where the graph is decreasing are given as follows:
-1 < x < 0.0 < x < 1.How to identify where the function is increasing and where it is decreasing?The behavior of the function regarding increase or decrease depends on the orientation of the graph, as follows:
Increasing function: moving along to the right on the graph, the line of the function is moving up.Decreasing function: moving along to the right on the graph, the line of the function is moving down.Hence the intervals describing the behavior of the function are given as follows:
Left of x = -1: increasing.Between x = -1 and x = 1: decreasing.Right of x = 1: increasing.The decreasing interval can be divided into two intervals, as follows:
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The points scored per game by a professional basketball player are represented by the box plot below. A number line plots points per game by the basketball player. The plots are 16 through 21 and 21 through 24. If the player scores 9 points and 35 points in the next two games, how is the median of the data set affected? A. The median points per game increases. B. The median points per game decreases. C. The median points per game is not affected. D. The effect on the median points per game cannot be determined.
Answer:
i think its C. The median points per game is not affected
Step-by-step explanation:
Which equations model exponential decay?
Select each correct answer.
y = 0.25(2)
y = 2(0.20)*
y = 4.2(1.25)*
y = 0.55(0.91)*
Option2 and 4 are the exponential decay from the equation.
Given that,
We have to find which one is exponential decay function.
Exponential decay function is in the form of y=abˣ where a is the initial value and b≠0, 0<b<1. power is x.
Now, Take the 1st option
y=0.25(2)ˣ
Here a is 0.25 and 2 is b
b>1
So, Option 1 is not an exponential decay.
Now, Take the 2nd option
y=2(0.20)ˣ
Here a is 2 and 0.20 is b
b<1
So, Option 2 is an exponential decay.
Now, Take the 3rd option
y=4.2(1.25)ˣ
Here a is 4.2 and 1.25 is b
b>1
So, Option 3 is not an exponential decay.
Now, Take the 4th option
y=0.55(0.91)ˣ
Here a is 0.55 and 0.91 is b
b<1
So, Option 4 is an exponential decay.
Therefore, Option2 and 4 are the exponential decay from the equation.
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find m<1 if m<3=(4x+7) and m<6=(2x+53)
If the measurement of ∠3 & ∠6 is given,i.e.∠3 = 4x + 7 and ∠6 = 2x + 53 then ∠1 = 120 - 6x.
Given, ∠3 = (4x + 7) and ∠6 = (2x + 53)
Let ∠1 = a,
Now, as we know the angle sum property in triangles,
the sum of all the angles in a triangle is 180°.
So, ∠1 + ∠3 + ∠6 = 180°
a + (4x + 7) + (2x + 53) = 180°
a + 6x + 60 = 180
a = 180 - 60 - 6x
a = 120 - 6x
Hence, ∠1 = 120 - 6x, if the ∠3 = 4x + 7 and ∠6 = 2x + 53
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On saturdays, cars arrive at sami schmitt's scrub and shine car wash at the rate of 6 cars per fifteen minute interval. Using the poisson distribution, the probability that five cars will arrive during the next five minute interval is.
The probability that five cars will arrive during the next thirty minute interval is 0.0361
What is probability?
Probability is a way of calculating how likely something is to happen. Numerous things are difficult to forecast with absolute confidence.
Main Body:
Let X = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.
The average number of cars arriving in 15 minutes is 6.
The average number of cars arriving in 1 minute is = 6/15 = 2/5
The average number of cars arriving in 5 minutes is, (2/5)*5 = 2
The random variable X follows a Poisson distribution with parameter λ = 2.
The probability mass function of X is:
P(X=[tex]x[/tex]) = [tex](e^{-2} 2^{x} )/x![/tex] , x = 0,1 ,2 ,3...
Compute the probability that 5 cars will arrive in 5 minutes as follows:
P(X=5) =[tex](e^{-2} 2^{5} )/5![/tex]
P (X= 5) = 0.0361
Hence probability is 0.0361
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during the computer daze special promotion, a customer purchasing a computer and printer is given a choice of five free software packages. there are 9 different software packages from which to select. how many different groups of software packages can be selected?
The required group of software packages that can be selected is 28.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Examples of permutation and combination, Organizing people, numbers, numerals, alphabets, notes, and colors are examples of permutations. Choosing of menu, foodstuffs, dresses, matters, and the group are examples of combinations.
CalculationHere,
Choice of six free software packages. there are 8 different software packages from which to select.
n = 8, r = 6
Groups of software packages can be selected= 8C6
8C6 = n!/r!(n - r)!
8C6 = 8! / 4! 2!
8C6 = 8 * 7 / 2 / 1
8C6 = 28
Thus, the required group of software packages that can be selected is 28.
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2x+54/x where x=9
what is the answer?
Chris has a cell phone plan with a flat fee of $26.00 per month, plus a cost of $0.12 per minute of usage. Chris can only afford a monthly bill of $86.00.
Which statement is true?
The consumption of minutes should be less than or equal to 500 for each month.
A linear equation is a first-order (linear) term and a constant in an algebraic equation of the form y=mx+b.
The telephone bill of Chris can be written in the form of linear equation.
C(x)=$26.00+$0.12x
Here x is the number of minutes, for every one minute there is a charge of $0.12.
Chris can afford monthly bill of $86 or less not more. The linear inequality can be written as,
$26.00+$0.12x<=$86
$0.12x<=$86-$26.00
$0.12x<=$60
x<=$60/$0.12
x<=500.
The number of minutes that Chris should use should be less than or equal tp 500.
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Ella is working two summer jobs, making $22 per hour tutoring and making
$10 per hour clearing tables. In a given week, she can work a maximum of 9
total hours and must earn at least $130. If x represents the number of hours
tutoring and y represents the number of hours clearing tables, write and solve
a system of inequalities graphically and determine one possible solution.
The system of inequalities and a possible solution is by working 2 hours removing wires and 6 hours tutoring.
What is Inequalities?
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.
Here are the variables defined:
x is the quantity of tutoring hours worked.
Y = quantity of h
clearing cables is our job.
Since we know she can only work a maximum of 9 hours per week:
x + y ≤ 9
She also wants to earn at least $130 each week, so:
x*$22 + y*$10 ≥ $130
As a result, we have the inequality system listed below:
x + y ≤ 9
x*$22 + y*$10 ≥ $130
The graph of this system can be shown in the graphic below, where the intersection of the two shaded regions shows where the system's solutions are.
There are some solutions there, including:
y = 0, x = 8
y = 2, x = 6.
As a result, her situation might be resolved by working 2 hours removing wires and 6 hours tutoring.
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10. Determine whether the following represents an identity.
cos x sin x tan x + cos²x = 1
Answer:
yes
Step-by-step explanation:
Given that [tex]\cos x\sin x\tan x+\cos^2x=1[/tex]
Substitute [tex]\tan x=\frac{\sin x}{\cos x}[/tex], we obtain:
[tex]\cos x\sin x\frac{\sin x}{\cos x}+\cos^2 x=1[/tex]
Simplifying this, we get:
[tex]\sin x\sin x+\cos^2x=1[/tex]
This is equivalent to:
[tex]\sin^2x+\cos^2x=1[/tex]
Solve for X
HELPPPPPPPPPPPPP
a private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. how large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%?
By using the concept of confidence interval, it is obtained that the sample needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4% = 601
What is confidence interval?
Let the quantity which is to be estimated is [tex]\theta[/tex] . A confidence interval for the parameter θ, with confidence level is the interval (a, b), where
P(a < [tex]\theta[/tex] < b) = , P is the probability
Here,
the formula for sample size n = [tex]\frac{p(1-p)z^2}{e^2}[/tex]
p is the sample proportion,
z is the z score associated with the level of confidence
e is the margin of error
Now,
e = 0.04
p = [tex]\frac{1}{2}[/tex]
z = 1.96
n = [tex]\frac{0.5(1-0.5) \times 1.96^2}{0.04^2}[/tex]
n = 600.25
Sample size needed = 601
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(04.04 MC)
What is the 8th partial sum of 10,000 -2,000+400-80+...? Round your answer to the thousandths place.
12,499.970
O9,999.974
8,333.333
8,333.312
Answer:
C
Step-by-step explanation:
Answer:
8,333.312
Step-by-step explanation:
I did the test...
pls help ill give all my points but please dont write anything down as the answer just for the points ):
Lara bought Philly soft pretzels. Each serving has 1.7 grams of fat. She ate 1.5 servings of the pretzels at lunch and 1.25 servings of the pretzels as a snack. How many grams of fat were in both servings? Explain how you got the answer
A line passes through the point (9, "-9)" and has a slope of -2
write an equation in point-slope form for this line.
Answer:
y + 9 = -2 (x - 9)
Step-by-step explanation:
M (slope) = -2
X=9 and Y=-9
Point-slope form
y - y1 = m(x - x1)
y - - 9 = -2( x - 9)
y + 9 = -2(x -9)
If 21 le than 11 time a number reult in 7 time a number decreaed by 29, what i the number?
Based on expression for each side of the equation, the number is -2.
Let us assume the number to be x. So, there will be two sides of equation, that is Left Hand Side and Right Hand Side. Writing the equation for each side.
Left Hand Side = 11x - 21
Right Hand Side = 7x - 29
Equating both sides of the equation.
11x - 21 = 7x - 29
Rewriting the equation with identical values on each side
11x - 7x = 21 - 29
Performing subtraction on both sides of the equation
4x = -8
Shifting 4 to Right Hand Side of the equation
x = -8 ÷ 4
Performing division on Right Hand Side of the equation
x = -2
Thus, the number is -2.
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help meeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
(a) in 2001: 150.4 thousand
(b) in 2018: 467.5 thousand
Step-by-step explanation:
You want the value of the expression modeling the number of students abroad for different values of x. That expression is 123.1(1.069^x).
(a) 2001The value of x is the difference between the year (2001) and the reference year (1998). In the attachment, we let the calculator find that difference. It tells us, for x = 2001 -1998 = 3, the number of students is about ...
y = 123.1(1.069^3) ≈ 150.4 . . . . thousand
(b) 2018In 2018, the value of x is 2008 -1998 = 10, and the number of students studying abroad is ...
y = 123.1(1.069^10) ≈ 467.4 . . . . thousand
Find the coordinates of triangle PQR with vertices P(-3, -2), Q(-1, 4), and R(2, -2) under the translation
(x,y) → (x+2y-4)
a. P'(-1, 2), Q'(1,8), R(4, 2)
b. P'(-5, -6), Q'(-3, 0), R(-4, -6)
c. P'(-1, -6), Q'(1, 0), R(4, -6)
d. P'(-5, 2), Q'(-3, 8), R(-4, 2)
The coordinates of triangle PQR under the translation (x,y) → (x+2,y-4) are P'(-1,-6), Q'(1,0), R'(4,-6).
Translation of coordinates is done by adding the horizontal translation at each vertex of the triangle. It is the process of shifting the location of the figure without changing the size and dimensions of the figure.
The coordinates of the triangle PQR are given as P(-3,-2), Q(-1,4), R(2,-2). The property under translation is given as (x,y) → (x+2,y-4). Now, let us apply this for all vertices.
P(-3,-2) → P'(-3+2,-2-4) → P'(-1,-6)
Q(-1,4) → Q'(-1+2,4-4) → Q'(1,0)
R(2,-2) → R'(2+2,-2-4) → R'(4,-6)
Thus, the vertices after translation are P'(-1,-6), Q'(1,0), R'(4,-6).
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Estimate the quotient. 241 ÷ 5 A. 30 B. 250 C. 50 D. 60
I need help with this please
What is the probability that a standard normal random variable will be between. 3 and 3. 2?.
The probability that a standard normal random variable will be between. 3 and 3. 2 is 0.99932.
What is standard normal random?
We shall read probabilities out rather than directly working with Z's density function to compute probabilities for Z. The elements in the tables are probabilities of the kind P(Zz), and they are tables of cumulative probabilities. Following are a number of examples that will help to clarify how to use the tables.The standard normal random.
Z∼N(0,1)
P(Z<3)=.99865
P(Z>3.2)=.99931
P(3<Z<3.2)=2(0.99931-0.99865)−1=0.99932
Hence the standard normal random variable will be 0.99932.
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