Answer:
2x-3
Step-by-step explanation:
Not exactly sure what the question being asked is, but I assume its that you want this written out algebraically. Double a number can be represented by 2x, and 3 less can be represented by -3. Add these terms together and you get 2x-3.
12 inches of snow fell in 26 hours.At that rate how much snow fell during school hours?
(6 hours approximately)
Answer:
2.7 rounding; exact = 2.76923076918
Step-by-step explanation:
26 divided by 12, multiplied by 6.
Answer:
Hey there! To answer this question, we need to determine the rate at which the snow was falling, and then use that rate to calculate how much snow fell during school hours.
We know that 12 inches of snow fell in 26 hours, so the rate at which the snow was falling is 12 inches / 26 hours = 0.46 inches/hour.
If we want to find out how much snow fell during school hours, which is approximately 6 hours, we can use the following formula:
Snowfall during school hours = rate of snowfall * time
Plugging in the values, we get:
Snowfall during school hours = 0.46 inches/hour * 6 hours = 2.76 inches
So if 12 inches of snow fell in 26 hours at a rate of 0.46 inches/hour, we can estimate that approximately 2.76 inches of snow fell during school hours.
I hope this helps! Let me know if you have any other questions.
1
Jenny is arranging rows of chairs for the student play.
There are 7 chairs in the first row.
Each row behind the first row has two more chairs than the previous row.
Complete the explicit definition for this sequence. Your answer must be fully simplified.
Explicit Definition of an Arithmetic Sequence
an = a1 + (n-1) d
Answer: [tex]a_n = 2n+5[/tex]
==================================================
Work Shown:
[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + 2(n-1)\\\\a_n = 7 + 2n-2\\\\a_n = 2n+5\\\\[/tex]
--------------------
Explanation:
We plug in [tex]a_1 = 7 \ \text{ and } \ d = 2[/tex] as they represent the first term and common difference in that order. The common difference is 2 because the number of chairs increases by 2 each time you move up a row.
To verify that answer, let's plug in the value n = 1
[tex]a_n = 2n+5\\\\a_1 = 2(1)+5\\\\a_1 = 2+5\\\\a_1 = 7\\\\[/tex]
Which matches with the first term being 7. I'll let you verify other terms.
Please answer!!! ASAP
Triangle ABD is an equilateral triangle because all three angles in the triangle are equal to 60°.
What is an equilateral triangle?An equilateral triangle is a triangle in which all three sides as well as all three angles in the triangle are equal.
The three angles in an equilateral triangle are all equal to 60°.
Considering the given triangle;
angle DCB = 30°
angle CBD = 30° ( base angles of an isosceles triangle)
angle BDC = 120° ( sum of angles in a triangle)
angle ADB = 60° ( sum of angles in a straight line)
angle ABD = 60° (90° - 30°)
angle BAD = 60° (sum of angles in a triangle)
Hence, ABD is an equilateral triangle.
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i have the following list of numbers: 4,4,5,3,6,1,8,2,3,6,7,7,7,6,9,0,1,6 i want to find the most commonly occurring number. what is that called?
Answer:
Mode
Step-by-step explanation:
Figure AAA is a scale image of Figure BBB. What is the value of xxx?
If A is the scale image of B, the value of x is 20.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the figure,
A is a scale image of B.
This means,
12.5/10 = x/16
x = (12.5 x 16) / 10
x = 200/10
x = 20
Thus,
The value of x is 20.
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Dave is 8 years younger than 4 1/2 times Julia’s age. If Dave is 19, how old is Julia?
Answer:
Step-by-step explanation:
27 years old
Please Help me answer this.
Answer:
[tex]x^4[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(\sqrt[3]{x^2}\right)^6[/tex]
[tex]\textsf{Apply the exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]
[tex]\implies \left((x^2)^\frac{1}{3}}\right)^6[/tex]
[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \left(x^\frac{2}{3}\right)^6[/tex]
[tex]\implies x^\frac{12}{3}[/tex]
Simplify the exponent:
[tex]\implies x^4[/tex]
PLEASE HELP ASAP
Select the correct answer.
Which inequality is graphed on the coordinate plane?
Inequality representation on a coordinate plane line graph. A Dotted line intersects X-axis at unit 0.5 and Y-axis at unit minus 1.
A.
y < -2x − 1
B.
y > -2x − 1
C.
y ≤ -2x − 1
D.
y ≥ -2x − 1
The inequality that is graphed on the coordinate plane is D. y ≥ -2x − 1.
How to solve an equation?An equation has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario. It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.
An inequality shows the non equal comparison of two or more numbers and variables. From the graph, a dotted intersects x-axis at unit 0.5 (0.5, 0) and Y-axis at unit -1 (0, -1).
Using the points (0.5, 0) and (0, -1), hence:y - 0 = [(-1 - 0)/(0 - 0.5)](x - 0.5)y = 2x - 1.
Since the line graph is dotted and it is shaded to the left, hence it is the inequality y ≥ -2x − 1.
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A table of values that models a linear function is given below. What is the rate of change?
The function is y=3x-16 and the rate of change is 3 when a table of values that models a linear function.
Given that,
We have a table of values that models a linear function.
We have to find the rate of change of the function.
We know that,
x | y
-3 | -25
1 | -13
3 | -7
8 | 8
So,
The equation of the function is
y=mx+b
Taking two points
(1,-13) and (3,-7)
m = -7+13/3-1 = 6/2 = 3
Now,
-7= 3(3)+b
b=-7-9
b= -16
So, y= 3x-16
Therefore, The function is y=3x-16 and the rate of change is 3 when a table of values that models a linear function.
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at a school, 70% of the students play a sport and 20% of the students are involved in theatre. 18% of the students do neither activity. a student is selected at random. a. [2 marks] find the probability that the student plays a sport and is involved in theatre.
The probability that the student plays a sport and is involved in theatre is 82%*20%=16.4% which is approximately equal to 14%.
The probability that the student plays a sport and is involved in theatre can be calculated using the following formula:
P(A∩B)=P(A)*P(B|A)
Where P(A) is the probability of playing a sport (70%) and P(B|A) is the probability of being involved in theatre given that the student plays a sport (20%).
Therefore, P(A∩B)=0.7*0.2=0.14
This means that the probability that the student plays a sport and is involved in theatre is 14%. This can also be calculated by subtracting the probability of not playing a sport or being involved in theatre (18%) from 100%. That is, 100%-18%=82%. Since 20% of the 82% are involved in theatre, the probability that the student plays a sport and is involved in theatre is 82%*20%=16.4% which is approximately equal to 14%.
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What is the normal of a function?
The normal of a function is a line that is perpendicular to the tangent line at a particular point on the curve.
The normal of a function can be used to find the equation of the tangent line to the curve at a particular point. This is done by finding the slope of the normal and the coordinates of the point of tangency, and then using these values to write the equation of the line in slope-intercept form (y = mx + b).
For example, consider the curve y = x^2. If we want to find the equation of the tangent line to this curve at the point (2,4), we can take the derivative of y = x^2, which is y' = 2x. Setting x equal to 2, we find that the slope of the tangent line at (2,4) is 4.
The normal to this curve at (2,4) is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent line, or -1/4. We can then use the coordinates of the point of tangency (2,4) and the slope of the normal (-1/4) to find the equation of the normal: y - 4 = -1/4(x - 2), which simplifies to y = -x/4 + 2.
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Tori bought one share of macy's stock on nov 1, 2016 for $33. 38. Four years later, she sold it and the closing price for that day was $5. 9.
Tori's loss from the stock will be $28.29 and her rate of return will be -84.75%.
While a high share price discourages trading in the company's stock, it advertises its stellar performance to existing and potential investors.
A high share price also discourages corporate takeovers, assuring the jobs of senior management. Existing investors can realize some quick gains by selling their shares at high profits.
Since Tori bought one share of Macy's stock on Nov 1, 2016, for $33.38 and she sold it and the closing price for that day was $5.09, her loss will be;
= $5.09 - $33.38
= -$28.29
Her rate of return will be:
= -28.29/33.38 × 100
= -84.75%
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What is the volume of a right circular cylinder with a diameter of 6 meters and a height of 14 meters. Leave the answer in terms of π.
504π m3
396π m3
126π m3
84π m3
The volume of the right circular cylinder is 126π m³.
How to find the volume of a cylinder?
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.
Let's find the volume of the cylinder with a diameter of 6 meters and a height of 14 meters.
Therefore,
volume of a cylinder = πr²h
where
h = heightr = radiusTherefore,
r = 6 /2= 3 meters
h = 14 metres
Hence,
volume of a cylinder = π × 3² × 14
volume of a cylinder = π × 9 × 14
volume of a cylinder = 126π m³
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Paige bought 3.5 cases of potato chips for a church fundraiser. If one case cost $4.35, how much did Paige spend?
Answer:
Down below
Step-by-step explanation:
1 case = 4.35
3.5 cases bought total
4.35 * 3.5 = 15.225
Hope this helps! :)
Explain how you can explain how you can use value to describe how 0.05 and 0.0005 compare
Answer:
Step-by-ste…….explanation:
57 pages read in 60 minutes how minutes dos it take to to read 95 pages
[tex]\begin{array}{ccll} pages&minutes\\ \cline{1-2} 57 & 60\\ 95& m \end{array} \implies \cfrac{57}{95}~~=~~\cfrac{60}{m} \\\\\\ \cfrac{ 3 }{ 5 } ~~=~~ \cfrac{ 60 }{ m }\implies 3m=300\implies m=\cfrac{300}{3}\implies m=100[/tex]
Question 13
Which expression is equivalent to the expression shown
below?
1
- - (- ²2 x + 6x +1 -3x
2
A) -x-1²/
2
2
C) ³x + 1/²/
4
B) 6³x - 12/
D) - 5 1/x - 12/2
4
The expression equivalent to the given expression is [tex]-5 \frac{1}{4}x - \frac{1}{2}[/tex], hence the correct option is D.
What is mixed fraction?
A mixed fraction is one that is represented by both its quotient and remainder.
To covert a fraction into mixed fraction:
By denominator, divide the numerator. Take the quotient as a whole number and use the remaining amount as the proper fraction's numerator while maintaining the original denominator.
In the given expression solve the brackets and seperate the like terms as follows:
[tex]-\frac{1}{2}(-\frac{3}{2}x + 6x + 1 ) - 3x\\ \\\frac{3}{4}x - 3x - \frac{1}{2} - 3x\\ \\ \frac{3}{4}x - 6x - \frac{1}{2}\\\\-\frac{21}{4}x - \frac{1}{2}[/tex]
Convert the fraction into mixed fraction by dividing the numerator and denominator:
[tex]-\frac{21}{4}x - \frac{1}{2} \\ \\-5 \frac{1}{4}x - \frac{1}{2}[/tex]
Hence, the expression equivalent to the given expression is option D.
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Polygon ABCD is similar to polygon JKLM. AB = 8, BC = 6, CD = 4. DA = 8, and JK = 12. The scale factor of the perimeter of polygon ABCD to JKLM is ___ units? Enter a number answer only. Reduce all answers
The scale factor of the perimeter of polygon ABCD to JKLM is 2/3
How to determine the scale factor of the perimeter of polygon ABCD to JKLM?
The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.
Given:
Polygon ABCD is similar to polygon JKLM. AB = 8, BC = 6, CD = 4. DA = 8, and JK = 12.
scale factor of sides = AB/JK = 8/12 = 2/3
BC/KL = 2/3
6/KL = 2/3
KL = 9
CD/LM = 2/3
4/LM = 2/3
LM = 6
DA/MJ = 2/3
8/MJ = 2/3
MJ = 12
perimeter of polygon ABCD = AB + BC + CD + DA
perimeter of polygon ABCD = 8 + 6 + 4 + 8 = 26 units
perimeter of polygon JKLM = JK + KL + LM + MJ
perimeter of polygon JKLM = 12 + 9 + 6 + 12 = 39
scale factor of the perimeter of polygon ABCD to JKLM = perimeter of polygon ABCD / perimeter of polygon JKLM
scale factor of the perimeter of polygon ABCD to JKLM = 26/39 = 2/3
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23,984 +1.645 13,879 A survey of a random sample of 1280 student loan borrowers found that the average loan was $23,984 with a standard deviation of $13,879. Which of the following is a 90% confidence interval for the true mean loan amount? 13,879 (a) 23,984 +1.646 1280 11280 13,879 13,879 (c) 23,984 +1.646 (d) 23,984 +1.645 V1279 1279 0.90(1-0.90) (e) 23,984 +1.645, 1280
A 90% confidence interval for the true mean loan amount is (e) (23,984 +1.64513,879/√(1280), 23,984 -1.64513,879/√(1280))
CALCULATE CONFIDENCETo calculate a 90% confidence interval for the true mean loan amount, you can use the following steps:
Take the sample mean (23,984) as the point estimate of the true mean.Take the standard deviation of the sample (13,879) as the estimate of the true standard deviation.Find the critical value for a 90% confidence interval using a t-distribution table. Since sample size is greater than 30, we can use z-value(for normal distribution) instead. The critical value for a 90% confidence interval with a t-distribution is approximately 1.645.Calculate the margin of error using the formula:margin of error = critical value × standard deviation / √(sample size)
Using the point estimate and the margin of error, the 90% confidence interval is:(point estimate - margin of error, point estimate + margin of error)
So in this case, the 90% confidence interval is (23,984 - 1.64513,879/√(1280), 23,984 + 1.64513,879/√(1280))Learn more about Confidence here:
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A watermelon weighs 4.2 kg and a pumpkin weighs 2 kg 250g Express the total weight of the items in kilograms. (30 points
Answer:
6.45kg
Step-by-step explanation:
there are 1000g in one kilogram
250g/1000g=0.25kg
4.2kg+2.25kg=6.45kg
Answer:
6.45kg
Step-by-step explanation:
First, let us convert all the values into grams.
Weight of a watermelon ⇒ 4.2 kg
Multiply by 1000 to convert it to grams.
Weight of a watermelon ⇒ 4200 g
Weight of a pumpkin ⇒ 2kg 250g
First, multiply 2kg by 1000 to convert it to grams and add it to 250 grams.
Weight of a pumpkin
⇒ ( 2 × 1000 ) + 250
⇒ 2000 + 250
⇒ 2250 g
Total Weight :
To get the total weight, add the weights of the watermelon and pumpkin in grams.
Total weight ⇒ 4200g + 2250g
⇒ 6450g
Now to convert the answer into kilograms, divide the answer by 1000.
⇒ 6450/1000 = 6.45kg
Write the ratio of 1 foot to 4 inches in simplest form.
Answer:
Step-by-step explanation:
Awnser: 3 to 1
Answer:
3:1
Step-by-step explanation:
12 inches in a foot
12 divided by 4 is 3 hope this helps:)
What is the area of this rectangle?
a) 40 units²
b) 45 units²
c) 50 units²
d) 55 units²
Answer:
Step-by-step explanation:
Use the distance formula of coordinate geometry.
Mark all the coordinates.
(-5, 5) , (-1, 7) , (4, -3) , (0, -5)
We need to find the length and width of the rectangle.
Lets pick, (4, -3) and (0, -5).
Distance formula,
√((x₁ - x₂)² + (y₁ - y₂)²)
or, √((4 + 0)² + (-3 + 5)² = √20 = 2√5 (width)
Again, we can take (-5, 5) and (0, -5)
√(25 + 100) = √125 = 5√5 (length)
Area of rectangle is length x width or 2√5 x 5√5 = 10 x 5 = 50 units²
Cheers. Also, pls mark as brainliest
SOMEONE PLEASE HELP ASAPPPP 20 POINTS
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8100 ft, the liquid boils at 197.04°F. At an altitude of 4500 ft, the liquid boils at 202.8°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2300 ft?
Write an equation.
b= ??
The slope-intercept form of the equation is b = -0.0016a + 210 and the boiling point at 2300ft is 206.32°F
What is Linear FunctionA linear function is an equation that describes a straight line when graphed. It has the form y = mx + b, where m is the slope of the line and b is the y-intercept. Linear functions are used to model relationships between two variables, such as the cost of a product and its quantity.
In this problem, we can model the boiling point in form of a linear equation.
The data given;
(8100, 197.04)(4500, 202.8)The slope can be calculated as;
m = y₂ - y₁ / x₂ - x₁
m = 202.8 - 197.04 / 4500 - 8100
m = -0.0016
Using this in the slope-intercept form of a linear function, we can find the y-intercept.
y = mx + c
Taking one point;
202.8 = -0.0016(4500) + c
c = 210
The linear equation can be written as
b = -0.0016a + 210
b) The boiling point at 2300ft
b = -0.0016(2300) + 210
b = 206.32°F
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Which of the following will have a product greater than 6?
A: 2/3 X 6 B: 51/50 X 6 C: 6 X 3/3 D: 6 X 24/25
!CORRECT ANSWERS GET BRAINLIEST! (Don’t answer if you don’t know)
Answer:
B
Step-by-step explanation:
6 is being multiplied by a quantity greater than 1, meaning the product will be more than 6.
How can you use a graph to model a relationship between variables when you don't know specific values?
A scatterplot is a type of data display that shows the relationship between two numerical variables.
Which graph is best for showing relationships?The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.
On the graph, each individual in the data is represented by a point. Whether or not a straight line graph passes through the origin, it is formally referred to be linear, and the relationship between the two variables is referred to as a linear relationship. Similar to this, a curved graph's depiction of a connection is referred to as non-linear.
Three main characteristics of bar graphs are: A bar diagram makes it simple to quickly compare sets of data between several groupings.
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How does the graph compare to the graph of the parent square root function? y = sqrt(x + 1) - 2
Answer:
The graph of the function y = sqrt(x + 1) - 2 is a transformation of the graph of the parent function y = sqrt(x). The parent function y = sqrt(x) is the square root function in its simplest form, with no transformation applied to it.
The transformation y = sqrt(x + 1) - 2 affects the parent function in the following ways:
The function inside the square root sign (x + 1) is shifted one unit to the right, meaning that the graph is shifted one unit to the right.
The function is then shifted two units downward, meaning that the graph is shifted two units downward.
As a result, the graph of y = sqrt(x + 1) - 2 is the same as the graph of y = sqrt(x), but shifted one unit to the right and two units downward.
Both of the functions has the same vertex point which is (-1,-2) and the domain is x>=-1 and the range is y>=-2.
It also shares the same shape as the parent function, an upward opening parabola with vertex at the origin.
Step-by-step explanation:
I got a new xar 3 years ago. Its value has decreased exponentially by 40 percent since I got it and it's now worth $18,000. (a)Write an exponential model that represents the value V (in thousands) of the car after t years. Round your decay factor to the nearest ten-thousandth. (b)What will my car value be 2 years from now
V(t) = 30 * e^(-0.012t) is the value of the car after t years.
The value of the car 2 years from now will be approximately $29,300.
Let's call the original value of the car V0, and the decay factor k. The exponential model representing the value of the car after t years is given by:
V(t) = V0 * e^(-kt)
To find the value of the car after 3 years, we can plug in t=3 into the equation:
V(3) = V0 * e^(-k*3) = 18
We can rearrange the equation to solve for the decay factor k:
k = -ln(V(3)/V0)/3
Plugging in the known values, we get:
k = -ln(18/V0)/3
Since the value of the car has decreased by 40%, V0 = 18 / (1 - 0.4) = 30. Therefore, k = -ln(18/30)/3 = -0.012.
Therefore, the exponential model representing the value of the car after t years is:
V(t) = 30 * e^(-0.012t)
V(2) = 30 * e^(-0.012*2) = 30 * e^(-0.024) = 30 * 0.977 = 29.3
This model represents the value of the car in thousands of dollars.
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According to the decreasing exponential value, the exponential function for the given situation is written as [tex]E(t) = 30 \times e^{-0.012t}[/tex] and the value of the car 2 years from now will be approximately $29,300.
Here we have given that a new xar 3 years ago. Its value has decreased exponentially by 40 percent since I got it and it's now worth $18,000
Here let us consider that the original value of the car E0, and the decay factor k.
Then the exponential model representing the value of the car after t years is written as
=> [tex]E(t) = E0 \times e^{-kt}[/tex]
Here we need to find the value of the car after 3 years, then we have to plug in t=3 into the equation, then we get,
[tex]E(3) = E0 \times e^{-k\times3}= 18[/tex]
Now, we have to rearrange the equation to solve for the decay factor k, then we get the value as,
=> k = [-ln(E(3)/E0)]/3
Now, we have to put the values on the equation then we get
=> k = [-ln(18/V0)]/3
Here we know that the value of the car has decreased by 40%,
Therefore, it can be written as,
=> E0 = 18 / (1 - 0.4) = 30.
Therefore, the value of
=> k = -ln(18/30)/3 = -0.012.
Now the exponential model representing the value of the car after t years is calculated as
[tex]E(t) = 30 \times e^{-0.012t}[/tex]
Apply the value of t as 2, then we get the value of E(T) as,
=> [tex]E(t) = 30 \times e^{-0.012\times 2}[/tex]
=> E(T) = 29.2
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The Venn diagram shows sets A, B, C, and the universal set U.
Shade C' U (A n B)' on the Venn diagram.
The shaded portion of CUA'UB' is given in the attached figure.
What is Set?A set is a collection of well defined objects
The given sets are A , B , C and the universal set U.
A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items
Now we need to share the portion of CU(AnB)'
(AnB)'=A'UB' from the propertys
CUA'UB'
A'=U-A
B'=U-B
So the shaded portion of CUA'UB' is given in the attached figure.
Hence, the shaded portion of CUA'UB' is given in the attached figure.
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Share £405 in the ratio 2:3
£270 will be allocated to the first person and £135 will be allocated to the second person.
What is ratio?Ratio is a mathematical expression that is used to compare two or more quantities in relation to each other. It is usually expressed as a fraction or a decimal. Ratios are used to compare values, trends, and proportions. Ratios are essential for understanding the relationship between numbers and for making informed decisions. Ratios are often used in business, finance, economics, and other areas to measure performance and risk.
This is calculated by multiplying the total amount of £405 by the ratio 2:3.
The first person's ratio is 2 out of 5 and the second person's ratio is 3 out of 5.
Therefore, 2/5 of £405 is £270 and 3/5 of £405 is £135.
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2 to the power of 5 simplified
Answer:
32
Step-by-step explanation:
2x2x2x2x2
4x2x2x2
8x2x2
16x2
32
