Answer: 8.2 x 10^2
Step-by-step explanation:
where does the line cross the y axis on the line y=-3x+15
Answer: 15
Step-by-step explanation: in y=mx+b B= the y-intercept aka where the line touches the y axis
Answer:
Y= 15 or (0,15) that is the answer, hope it's not to late
Which equation is equivalent to the equation 5x+30=45
Answer:
x=3
Step-by-step explanation:
5y+10-x=4y+3x solve for y
By isolating the variable y in the left side of the linear equation, we will get:
y = 4x - 10
How to solve the linear equation for y?
Here we have a linear equation and we want to solve this for y, to do this, we need to isolate the variable y in one of the sides of the equation.
The linear equation is:
5y + 10 - x = 4y + 3x
Moving all the terms with y to the left side and the others to the right side, we get:
5y - 4y = 3x - 10 + x
If we simplify this we get:
y = 4x - 10
This is the linear equation solved for y.
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HELP FAST PLEASE! I NEED THE ANSWER, THIS IS SO DIFFICULT
Find the measure of angle b.
b
43°
We conclude that the measure of angle ∠b is 43°.
What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.So, a measure of angle b:
Let us name the other angle as c:
∠c = 43°As we can clearly observe that ∠c and ∠b are vertically opposite angles.
Then, ∠c = ∠b.Hence, ∠b = 43°.
Therefore, the measure of angle ∠b is 43°.
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The gas mileage of cars more than 20 years old is a normally distributed data set with a mean of 23.04 miles per gallon and a standard
deviation of 3.31.
What is the z-score of a car that gets 29 miles per gallon?
1.800 is the z-score of a car that gets 29 miles per gallon.
Mean μ = 23.04 miles per gallon
a standard deviation σ = 3.31 miles per gallon
the z-score of a car that gets 29 miles per gallon
[tex]Z = x -[/tex]μ /σ
Z = [tex]\frac{29- 23.04}{3.31 }[/tex]
Z = 1.800
What is standard deviation?Standard deviation is a statistic that measures the dispersion of a data set relative to its mean and is calculated as the square root of the variance. The standard deviation is calculated as the square root of the variance by determining the deviation of each data point from the mean.
If the data points are farther from the mean, there is more variance within the data set; therefore, the wider the data is spread, the larger the standard deviation.
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Giselle states that if bianca calls out any two side measures of her triangle and one angle measure of her triangle, giselle will be able to draw a triangle congruent to bianca's triangle. is giselle's statement sometimes, always, or never true? use concepts of rigid motion to justify your answer.
Yes, Giselle's statement is always true, she can draw a congruent triangle with the help of two sides and one angle, this rule of congruence is called the SAS property of congruency.
Giselle can create the precise triangle if Bianca gives her two sides and one angle.
Both triangles will now be congruent by SAS (side angle side) congruency.
Giselle's claim will always be accurate according to the congruency theorem.
The acronym "SAS" stands for side, angle, and side, and it makes it apparent that if any two sides and one angle of two triangles are the same, then those triangles are said to be congruent with one another.
For instance, if the triangle ABC has dimensions of 2 cm by 3 cm by 6 cm and the triangle PQR has dimensions of 4 cm by 3 cm by 6 cm and has an angle of 75 degrees, both of these triangles will be regarded as congruent triangles by the SAS theorem.
Simply put, two triangles are said to be congruent if their two sides and one angle are similar to those of another triangle.
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Write the equation of the line perpendicular y=5/2x+4 to
that passes through the point (-1,2)
The equation of a line is 2x + 5y = 8.
The given equation is :
y = 5/2x + 4
Here we have to find the equation of a line perpendicular to the given line passing through the point (-1,2).
The slope of a line is 5/2.i.e., [tex]m_{1}[/tex] = 5/2
To find the slope of a line perpendicular to the line we have a formula:
[tex]m_{1}[/tex]×[tex]m_{2}[/tex] = -1
[tex]m_{2}[/tex] = -1 /[tex]m_{1}[/tex]
[tex]m_{2}[/tex]= -1 × 2/5
=-2/5
The equation of a line is:
y = mx + c
The slope is -2/5 and the point is (-1,2)
c = y-intercept
So by putting the value we have:
2 = -2/5 × (-1) + c
c = 8/5
y = -2/5x + 8/55
y = -2x + 82x + 5y = 8
Therefore the equation of a line is 2x + 5y = 8.
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Use unit rates to determine the better buy and provide the unit price for your answer. Round your answer to the nearest hundredth, if necessary.
$4.05 for 150 index cards
$1.17 for 30 index cards
The unit rate of the given parts are :
1) 37.037 index cards
2) 25.64 index cards
What is unit rate?An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.
The denominator of a unit rate is always 1. Therefore, divide the denominator by the numerator so that the denominator equals one in order to determine the unit rate. The unit rate is 50km/5.5 hours = 9.09 km/hour, for instance, if 50km are traveled in 5.5 hours.
1 ) $4.05 for 150 index cards
Thus for $1 we will get = 37.037 index cards
2) $1.17 for 30 index cards
Thus for $1 we will get = 25.64 index cards
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A rectangular window is topped with a semi circle. The height of the rectangular part is 1 more than 3 times its width, w meters. which function represents the total area, A, of the window in terms of the width?
The total area of the rectangular window is given by the expression:
w × (1 + 3w) + π(w/2)² .
In current mathematics, area is very important. Area is connected to the determination of determinants in linear algebra and is a basic property of surfaces in differential geometry, in addition to its utmost important in geometry and calculus. The area of a copy of the plane is determined in analysis using the Lebesgue measure, albeit not every subset is measurable. In higher mathematics, area is viewed as a specific case of volume for this double regions.
the width of the window is given as w
This is the diameter of the semicircle. hence the radius will be w/2
height of the window = 1 + 3w
area of the rectangle = w × (1 + 3w)
area of the semicircle = π(w/2)²
total area = w × (1 + 3w) + π(w/2)² .
Therefore of the given options the total area of the window is
w × (1 + 3w) + π(w/2)² .
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Помогите, пожалуйста, очень надо. даю 40 баллов
What is the answer to this equation:
1.23(p − 5) + –9 = –5.31
Need answer ASAP!!! :) like actually.................
PLEASE HELP MEEEE
Answer: p=8
Step-by-step explanation: 1.23p−15.15=−5.31Move the constant to the right side1.23p=−5.31+15.15Add the terms1.23p=9.84Divide both sides1.231.23p=1.239.84Simplify1.231.23p=8Solutionp=8
A 2-inch candle burns down in 8 hours. At what rate does the candle burn, in inches per hour?
The rate at which the candle burn in inch's per hour is 1/4 inches per hour
What is the rate?The rate is how fast the candle burns with the passage of time. It is the height of the candle divided by the time it takes the candle to burin down.
Division is the process of grouping a number into equal parts using another number. The sign used to represent division is ÷. Division is one of the basic mathematical operations.
Rate = height / time it take the candle to burn down
2 / 8 = 1/4 inches per hour
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Answer:
1/4
Step-by-step explanation:
?
2)
105°
22x-5
Solve for x! Remember that alternate
exterior angles are congruent
(equal).
Isabella is raising goats for her town's agricultural fair. She fences a rectangular area in her yard to use as a pasture. The width of the pasture is 124.5 feet, and the length is 180.2 feet. What is the area of the pasture?
The area of the rectangular pasture will be;
⇒ 22,434.9 feet²
What is mean by Multiplication?
To multiply means to add a number to itself a particular number of
times. Multiplication can be viewed as a process of repeated addition.
Given that;
Isabella is raising goats for her town's agricultural fair.
She fences a rectangular area in her yard to use as a pasture.
The width of the rectangular pasture = 124.5 feet
The length of the rectangular pasture = 180.2 feet
Since, we know that;
Area of the rectangle = Length x Width
Substitute all the values, we get;
Area of the rectangular pasture = 180.2 x 124.5
Area of the rectangular pasture = 22,434.9 feet²
Therefore,
The area of the rectangular pasture will be;
⇒ 22,434.9 feet²
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Lera comes to the swimming pool once every 12 days. victor comes every 4 days and oksana comes every 10 days. last monday, all three were at the pool. in how many days will they all be at the pool again?
The three Lera, Victor and Oksana will meet in the pool again in 60 days
How to find the how many days will they all be at the pool again?The question is solved using the concept of Least common multiple: The Least common multiple refers to the least multiple that 12, 10, and 4 have in common
How to get the least common multiple LCMwe therefore solve the LCM as follows
2 | 12, 4, 10
2 | 6, 2, 5
3 | 3, 1, 5
5 | 1, 1, 5
| 1, 1, 1
= 2 * 2 * 3 * 5
= 60
From the calculation the numbers 4, 10, 12 have a least common multiple of 60. Therefore the Lera, Victor and Oksana will meet in the swimming pool 60 days.
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if 4/7 pound of fertilizer covers 87 square feet of ground, how much fertilizer in pounds is needed to cover 1 square foot of ground?
[tex]\begin{array}{ccll} \stackrel{lbs}{fertilizer}&\stackrel{feet^2}{ground}\\ \cline{1-2} \frac{4}{7}&87\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{4 }{7 } ~~}{x}~~ = ~~\cfrac{87}{1}\implies \cfrac{~~ \frac{4 }{7 } ~~}{\frac{x}{1}}=87 \\\\\\ \cfrac{4}{7x}=87\implies \cfrac{4}{87}=7x\implies \cfrac{4}{609}=x[/tex]
Enter the coefficients of the regression equation: _______x^2+________x+_______ Using this equation, find the profit, to the nearest dollar, for a selling price of 16.75 dollars.
Answer:
I think it is the first ones
Answer:
[tex]y=\boxed{-14.380}\;x^2+\boxed{299.970}\;x+\boxed{-950.851}[/tex]
$39
Step-by-step explanation:
Create 5 additional columns on the given table for x², x³, x⁴, xy, and x²y.
Calculate the values and add the sum of each column.
(See attachment 1).
Use the matrix equation for determining the parabolic curve, entering the sums from attachment 1:
[tex]\displaystyle a \sum x{_i}^4+b \sum x{_i}^3+c \sum x{_i}^2=\sum x{_i}^2y_i[/tex]
[tex]\implies 74446.015625a+6046.90625b+520.25c=248662.875[/tex]
[tex]\displaystyle a \sum x{_i}^3+b \sum x{_i}^2+c \sum x{_i}=\sum x{_i}y_i[/tex]
[tex]\implies 6046.90625a+520.25b+48.5c=22987.5[/tex]
[tex]\displaystyle a \sum x{_i}^2+b \sum x{_i}+c n_i=\sum y_i[/tex]
[tex]\implies 520.25a+48.5b+5c=2313[/tex]
Solve for a, b and c using a calculator:
a = -14.38019324...b = 299.9701548...c = -950.8513949...Insert these values (rounding to 3 decimal places) into the quadratic formula [tex]y=ax^2+bx+c[/tex] :
[tex]\large\boxed{y=-14.380x^2+299.970x-950.851}[/tex]
To find the profit (y) for a selling price of 16.75, substitute x = 16.75 into the found quadratic equation:
[tex]\implies y=-14.380(16.75)^2+299.970(16.75)-950.851[/tex]
[tex]\implies y=39.157...[/tex]
Therefore, the profit is $39 to the nearest dollar.
Note: Attachment 2 is the two-variable regression analysis as calculated by an online graphing calculator, proving that the y-value is 39 (nearest whole number) when x=16.75.
↑
An alligator's tail length, T, varies directly as its body length, B. An alligator with a body length of 2.8 feet has a tail length of 2 feet. What is the tail length of an alligator whose body length is 4 2 feet?
Body length, B
-Tail length, 7-
The tail length is
feet
(Type an integer or decimal rounded to the nearest tenth as needed)
The tail length of an alligator whose body length is 4.2 feet will be 3 feet.
What is direct proportionality?
Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. Mathematically, direct proportionality is represented by a straight line and it equation is of the form -
y = kx
k = y/x
where [k] is the constant
Given is an alligator's tail length [T] varies directly as its body length [B]. An alligator with a body length of 2.8 feet has a tail length of 2 feet.
We can write as -
tail length [T] [tex]\alpha[/tex] body length [B].
Therefore -
T/B = K [Constant]
We can write -
T₁/B₁ = T₂/B₂
2/2.8 = T₂/4.2
T₂ = (2 x 4.2)/2.8
T₂ = 3 ft
Therefore, the tail length of an alligator whose body length is 4.2 feet will be 3 feet.
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The cylinder below has a curved surface area of 352 m² and a length of 16 m. Work out the total surface area of the cylinder. Give your answer to 3 s.f?
The total surface area of the cylinder in question is 428.93 m².
How are the parameters of a cylinder determined?
A cylinder is a three-dimensional solid with a parallel circular base and top. The overall height of the cylinder is the perpendicular distance between the top and base.
The area with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area.
Total Surface Area is the combined area of the bases and the curved surface.
Mathematically, curved surface area = 2πrh, where r = radius, h = height of cylinder;
Total surface area = 2πrh + 2πr², where r = radius, h = height of cylinder.
Given, the curved surface area of the cylinder = 352 m²
Height of the cylinder = h = 16 m
Using the formula established above, we have 2πrh = 352 --(i)
Substituting other values in (i), we get 2*3.14*r*16 = 352 ⇒ r = 3.50 m
Again, total surface area of cylinder = 2πrh + 2πr²
Substituting all values, we get TSA = (2*3.14*3.50*16) + (2*3.14*3.50²)
= 428.93 m²
Thus, the total surface area of the cylinder in question is 428.93 m².
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value b
3(b + 4) + 5b = 44
11
4
2
9
Answer:
4
Step-by-step explanation:
[tex]3b+12+5b=44 \\ \\ 8b+12=44 \\ \\ 8b=32 \\ \\ b=4[/tex]
which are the graphs of sine functions (more than 1 answer)
For the very first graph of the sinx function,
[tex]\sin \frac{\Pi}{2}=1[/tex][tex]\sin \Pi=0.[/tex]According to the coordinates obtained ,
The graph from the options which satisfied the sinx function are,
The graph of option A,C are satisfied the sin function .
Therefore the correct option is A , C.
1. Lucy monitors the position of a large fish in the ocean with a depth finder. The device records the depth of the fish. Initially, the fish swims at a depth of 14 feet below sea level. Suddenly the fish rises l8 feet.
a.(2pts) What numerical expression represents the position of the fish relative to sea level after it rises 8 feet?
b.(2pts) What is the position of the fish after it rises 8 feet relative to sea level?
PLEASE HELP!!!!!!!!
(a) The numerical expression that represents the position of the fish relative to sea level after it rises 8 feet is (14 - 8) feet.
(b) The position of the fish after it rises 8 feet relative to sea level is 6 feet below the sea level.
Lucy monitors the position of a large fish in the ocean with a depth finder. The device records the depth of the fish.Initially, the fish swims at a depth of 14 feet below sea level.The fish rises by 8 feet.(a) The new depth of the fish below the sea level is 14-8 feet.The numerical expression that represents the position of the fish relative to sea level after it rises 8 feet is (14 - 8) feet.(b) The new depth of the fish below sea level is 14-8 feet.The new depth of the fish below sea level is 6 feet.The position of the fish after it rises 8 feet relative to sea level is 6 feet below sea level.To learn more about depth, visit :
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twice a number, increased by three, is between negative one and nine. Find all the numbers.
The solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.
Given that, twice a number, increased by three, is between negative one and nine.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Let the unknown number be x.
Now, twice a number, increased by three = 2x+3
The given expression is between negative one and nine
-1 < 2x+3 < 9
-1 < 2x+3
Subtract 3 to both the side of the inequality
-1-3<2x+3-3
⇒ -4 < 2x
Divide 2 to both the side of the inequality
-2 < x
Now, 2x+3 < 9
Subtract 3 to both the side of the inequality
2x+3-3<9-3
⇒ 2x<6
Divide 2 to both the side of the inequality
x < 3
So, -2<x<3
Solution set = {.......-5, -4, -3, -2, -1, 0, 1, 2}
Therefore, the solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.
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Samantha ran at a constant speed. she ran 1 mile in 10 minutes. write an equation that represents the amount of time t ( in minutes) that it takes her to run a distance of d miles?
Answer:
d=t10
Step-by-step explanation:
If 3(x - 2) = 6x + 5 what is the value of x
Answer:
x = - 11/3
Step-by-step explanation:
3( x-2) = 6x + 5
delete the paréntheses
move the terms
3x-6x=6+5
3x-6x=5+6
calculate
divide the sides
-3x = 11
Please help! write the answer in slope-intercept form:
-4x + 2y = 20
Answer: y= 2x+10
Step-by-step explanation:
Slope Intercept form: y=mx+b
You want to find the equation in terms of y. So, therefore, isolate 2y
2y=20+4x
Divide both sides by 2
y=10+2x
|
|
|
v
y=2x+10
Is it possible for f(x)=5•2^x
To equal to 200? If yes why and if not why?
Answer: It is not possible for f(x) = 5(2^x) to equal to 200.
Step-by-step explanation: I put it in a calculator. When x = 5.321, the output is approximately 199.871380105. But when x = 5.322, the output is about 200.009968414. This means that the output of exactly 200 is impossible.
Describe the transformation of the parent function y=|x|. y=|x-1|-5
The required transformation of the function is 1 unit left and 5 unit down.
Given that,
To determine the transformation of the parent function y=|x|. y=|x-1|-5.
The graph is a demonstration of curves which gives the relationship between the x and y-axis.
Here,
The function y=|x| is an absolute function,
when we add 1 unit left and 5 unit down to the function, the function arises as y=|x-1|-5. It implies the transformation of function as -1 on the x-axis and -5 units on the y-axis.
Thus, the required transformation of the function is 1 unit left and 5 unit down.
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Elizabeth Oliver sells luxury cars. She earns a 4% straight commission. Last month her sales totaled $128,000.00. What was her commission?
Elizabeth Oliver is a vehicle salesperson. She receives a flat commission of 4%. Her sales for the past month came to $128,000. She receives the commission of $3200000.
Given that,
Elizabeth Oliver is a vehicle salesperson. She receives a flat commission of 4%. Her sales for the past month came to $128,000.
We have to find what was her commission.
To find the her commission we have to divide the sales month amount and the commission she receives.
=$128,000/4%
=$128,000/0.04
=$3200000
Therefore, She receives the commission of $3200000 when the commission is 4%.
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