The equation statement 2(3 + 5x) = 6 + 5x is false
How to know if the validity of the statementThe statement is true if the values in the left hand side of the equation is equal to the value in the right hand side of the equation
The left hand side of the equation is simplified as follows
= 2(3 + 5x)
expanding to open the parenthesis
= 6 + 10x
6 + 10x is not equal to 6 + 5x hence we say that the sides are not equal
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decrease the number 35 by 0.6 of it
Answer:
14
Step-by-step explanation:
1) "the number 35" means 35
2) "decrease 35 by 0.6 of it" means -(0.6)*(35)
Put them together:
35 - (0.6)*(35)
35 - 21
= 14
what is the answer for this-order of operation?
Answer:
Step-by-step explanation:
always follow BODMAS or BIDMAS-
Do the multiplication, which is 15/3 and when simplifiyed becomes 5.
Then work out 6 divided by 3/2. In division for fractions, you always find the reciprocal of the 2nd number and multiply instead of divide, so its 6 x 2/3 which is 12/3, simplifiyed to be 4. 5+4=9. 9+10 is 19, and 19-4=15
[tex]25 \div 2 [/tex]
How to solve this?
Answer:
25÷2=12.5
Step-by-step explanation:
you put the 25 inn the division box and the 2 on the outside and 12.5 is your answer
Answer: 12.5
How do you solve the given equation?[tex]\frac{25}{2} =12.5[/tex]
[tex]\frac{5^{2}}{2} = 12 \frac{1}{2} = 12.5[/tex]
Aubrey is older than Chase. Their ages are consecutive integers. Find Aubrey's age if the product of their ages is 56.
how long would it take them to get to the point on the ferris wheel closest to the polar coordinate
It would depend on the rate of the ferris wheel, so it is impossible to answer this question without knowing the wheel's speed.
1. The question is asking for an estimate of the time it would take for a person to get from the start of the ferris wheel to the point closest to the polar coordinate (6, 0).
2. To answer this question, we need to know the speed of the ferris wheel. Without this information, it is impossible to answer the question.
It would depend on the rate of the ferris wheel, so it is impossible to answer this question without knowing the wheel's speed.
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Using -1, -2, -1.68 as examples, describe where negative numbers are located on a number line, based on the locations of 0 and 1.
The location on negative integers will be on left side of zero.
What is Number system?A number system is defined as a system of writing to express numbers.
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
On a number line the integers were represented.
Integers are collect of positive numbers, negative numbers and zero.
On the right side of zero the number are positive 1,2,3..
To the left side of zero there are negative integers -1,-2,-3...
Fom left to right the value of numbers be increases.
Hence, the location on negative integers will be on left side of zero.
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3. In the figure, DE and DF are midsegments of AABC. Find BC. (Example 3) 1 point
B
D
122°
E
8
А.
F
с
15
O A 8
B. 15
C. 16
O D. 30
The midsegments of AABC, hypotenuse BC is B. 15.
In a triangle, a midsegment is a line segment that connects the midpoints of two non-adjacent sides of the triangle. In this figure, DE and DF are the midsegments of AABC, which means that they connect the midpoints of the sides AB and AC, respectively. Since DE and DF are parallel, we know the triangle isosceles (both legs are congruent).
Since the angle at A is 122°, we know that the angle at B and C are 78° (180-122=58). Therefore, if we draw the altitude from B to AC, we have a 30-78-72 triangle. We have been given the length of the altitude, 8, and the angle of the base, 72. We can use the Sine Ratio to calculate the hypotenuse, BC.
sin(72) = opposite / hypotenuse = 8/BC
Solving for BC, we get 15
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A car travels the 200 miles along the M1 from London to Leeds. The car leaves London at 8am and travels at a constant speed of 60mph for the first 60 miles. The driver takes a break of 30mins at a motorway services before continuing the journey at a constant speed of 70mph a) Draw a distance-time graph of the journey
Answer:
The distance-time graph of the journey would be as follows:
From 8am to 8:01am, the car travels 0 miles (at 8am, it leaves London)
From 8:01am to 9:01am, the car travels 60 miles (at a constant speed of 60mph)
From 9:01am to 9:31am, the car travels 0 miles (the driver takes a break of 30mins)
From 9:31am to 12:51pm, the car travels 140 miles (at a constant speed of 70mph)
The graph would be a line with a slope of 60 for the first hour, a flat line for the 30 minutes break, and then a line with a slope of 70 for 2 hours and 20 minutes.
Note: Since we don't have a time-scale and time unit, this graph is just a representation of the pattern of the journey, and the actual values are not accurate.
a box contains some green marbles and exactly four red marbles. the probability of selecting a red marble is $x\%$. if the number of green marbles is doubled, the probability of selecting one of the four red marbles from the box is $(x - 15)\%$. how many green marbles are in the box before the number of green marbles is doubled?
The number of green marbles in the box before the number of green marbles is doubled is given by [tex]$\frac{4 - 4x + 60}{2x - 30}$\\[/tex], where x is the probability of selecting a red marble before the number of green marbles is doubled.
Let the number of green marbles be 'g'.
The probability of selecting a red marble before the number of green marbles is doubled is[tex]$\frac{4}{g+4} * 100 = x\%$[/tex]
The probability of selecting one of the four red marbles from the box after the number of green marbles is doubled is [tex]$\frac{4}{2g+4} * 100 = (x - 15)\%$[/tex]
Rearranging the equations and solving for g, we get:
[tex]\frac{4}{g+4} * 100 = x$\frac{4}{2g+4} * 100 = (x - 15)$$2g+4 = \frac{4}{x-15}$$g = \frac{4 - 4x + 60}{2x - 30}$[/tex]
Therefore, the number of green marbles before the number of green marbles is doubled is [tex]$\frac{4 - 4x + 60}{2x - 30}[/tex]
The number of green marbles in the box before the number of green marbles is doubled is given by [tex]$\frac{4 - 4x + 60}{2x - 30}$\\[/tex], where x is the probability of selecting a red marble before the number of green marbles is doubled.
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60% of ms. howard's class ordered a hot lunch from the cafeteria. if 15 students ordered a hot lunch, how many students are in ms. howard's class?
Based on the number of 60% students, the total number of students in Ms. Howard's class are 25.
Let the total number of students be x. Based on the mentioned information, we can say that 60% of total number of students ordering a hot lunch are 15. Rewriting the mentioned information as equation -
60% × x = 15
60/100 × x = 15
x = 15 × 100/60
Performing multiplication on Right Hand Side of the equation
x = 1500/60
Cancelling zero and performing division on Right Hand Side of the equation
x = 25
Therefore, there are 25 students in the class.
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PLEASE HELP MEEEEEEEE!!!!!!!!!
Answer:
70⁰ is the correct answer.
10 1/2 cup of flour are needed to make three lova of bread how many cup are needed
The offered statement states that 42 cups of grain are required to produce three loaves of bread.
Where did the loaves and fishes tradition start?As a completely volunteer hot meal service in 1983, Breads & Fishes quickly evolved into a pre-packaged shopping bag contribution program for locals. This nonprofit's first year's budget was $6,500, at which time the pantry supplied food to about 50 homes.
We know we need four times 10 1/2 cups of flour since 12 was 4 times higher than three (3 * 4 = 12).
We only have to calculate 10.5 * 4 = x but then just solve for x.
42 cups - grain (10.5 * 4)
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The complete question is-
10 1/2 cups of flour are needed to make 3 loaves of bread. How many cups are needed for 12?
some identical glasses are stacked on top of each other. a stack with eight glasses is 42 cm high. a stack with two glasses is 18 cm high. how high is a stack with six glasses?
the height of six glasses (24 / 6 = 4). Finally, we can multiply this by six to get the final answer, which is 30 cm.
30 cm
For two glasses, the height is 18 cm.
For eight glasses, the height is 42 cm.
Therefore, for six glasses, the height would be (42 - 18) / (8 - 2) * 6 = 30 cm.
To answer the question, we need to first determine the height of two glasses, which is 18 cm. Next, we need to find the height of eight glasses, which is 42 cm. Once we have these two values, we can calculate the height of six glasses. We can do this by finding the difference between the two heights (42 - 18 = 24), which will give us the height of six glasses (24 / 6 = 4). Finally, we can multiply this by six to get the final answer, which is 30 cm.
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can someone help me with this please
The value of x is 16 cm.
What is the equilateral triangle?
An equilateral triangle is a type of triangle that has three sides of equal length and three equal angles of 60 degrees each. All equilateral triangles are also equiangular and isosceles triangles. The sides of an equilateral triangle are congruent, and it is symmetrical in all ways, meaning that it has rotational and line symmetry.
We have given,
Lengths of sides:
16 cm, 16cm, and x cm,
we have to find the value of x.
The given triangle is an equilateral triangle,
so, The length of all three sides of an equilateral triangle is equal.
16 cm = 16cm = x cm,
x = 16 cm
Hence, The value of x is 16 cm.
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how do you solve this?
Answer:
i have no clue big dawg you gonna have to cheat somewhere else
calculate the double integral. 3xy2 x2 + 1 da, r = {(x, y) | 0 ≤ x ≤ 3, −2 ≤ y ≤ 2} r
The double integral for [tex]3xy^2/x^2+1[/tex] is 8㏑(2).
[tex]3\int\limits^1_0 \int\limits^2_2 \frac{xy^2}{x^2 + 1} \, dy dx[/tex]
3* 1/2 (㏑(2) - ㏑(1) ) * 1/3 (8+8)
8㏑(2)
A multiple integral in mathematics is a definite integral of a function with multiple real variables, such as f(x, y), or f(x, y) (x, y, z). In the real-number plane, integrals of functions of two variables over an area are referred to as double integrals, and integrals of functions of three variables over a region in real-number three-dimensional space are referred to as triple integrals.
The Cauchy formula for repeated integration can be used to calculate multiple integrals of a single-variable function.
The double integral of a positive function of two variables represents the volume of the region between the surface defined by the function (on the three-dimensional Cartesian plane where z = f(x, y)) and the plane that contains its domain, just as the definite integral of a positive function of one variable represents the area of the region between the graph of the function and the x-axis.
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Calcula el área de las bases y el área lateral, de un cilindro de 10cm de radio y 20cm de altura.
El area de las bases es 628 cm^2 (ambas bases) y el area lateral es 1,256 cm^2
¿Como calcular el area de las caras del cilindro?Tenemos un cilindro con un radio de 10 centimetros y 20 centimetros de altura.
El cilindro tiene dos tapas que son circulares, el area de estas se calcula como el area de un circulo cualquiera, esta sera:
A = 2*( pi*R^2)
Donde R es el radio y pi = 3.14, entonces tendremos:
A = 2*(3.14*(10cm)^2)
A = 628 cm^2
El area lateral será igual que el producto entre la altura y la circunferencia:
A' = 2*pi*R*H
Donde H es la altura.
Remplazando los valores que conocemos obtendremos:
A' = 2*3.14*(10cm)*20cm
A' = 1,256 cm^2
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What is the formula for finding absolute value?
Answer:
|x| = x if x >= 0, -x if x < 0
Step-by-step explanation:
The distribution of prices for a certain car model is approximately normal with mean $21,800 and standarddeviation $400. A random sample of 4 cars of the model will be selected.What is the correct unit of measure for the mean of the sampling distribution of I?A DollarsB) ModelsCarsD) Samples
The correct unit of measure for the mean of the sampling distribution of I is A. Dollars.
The original distribution of prices for the car model is given in dollars, and the mean of the sampling distribution represents the average price of a random sample of 4 cars from that distribution. Hence, the correct unit of measure should be in dollars also.
In statistics, the mean is a measure of central tendency that represents the average value of a dataset. It is calculated by adding up all the values in a dataset and dividing by the number of observations. The formula for the mean of a dataset is:
mean = (sum of observations) / (number of observations)
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What is no solution called?
An inconsistent system is a set of equations that have no solution.
Consider the following as the lines' equation:[tex]p_1x+q_1y+a_1=0 , p_2x+q_2y+a_2=0[/tex]
We can start analyzing the equations of lines and evaluating their various properties now that we understand how to display points on a coordinate plane and graph linear equations. The common forms for writing linear equations and the characteristics of lines that can be inferred from their equations are covered in this section.
If both lines are parallel to one another, there is no answer because the lines never cross.
In such a circumstance, the pair of linear equations in two variables is considered to be inconsistent because algebraically, [tex]\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}[/tex].
For example, line of equations are
[tex]2x-y=4\\\\4x-2y=8[/tex]
[tex]\frac{a_1}{a_2}=\frac{2}{4}=\frac{1}{2}\\\frac{b_1}{b_2}=\frac{1}{2}\\\frac{c_1}{c_2}=\frac{4}{8}=\frac{1}{2}[/tex]
Here, both equation has no solution so equation are called inconsistent equation.
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suppose that it is reported that 75% of workers aged 18 and over drive to work. find the probability that more than 3 of the 10 workers chosen drive to work alone.
On solving the provided question, we can say that Probability 8 drive to work[tex]= C(8,8) 0.77^8 * 0.23^0 = 0.77^8 = 0.123 = > 1 - 0.1236 = 0.8764[/tex]
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
x = number that drive to work alone
Likelihood that exactly eight people drive alone to work is equal to the probability that no more than seven people drive alone.
[tex]P(x < = 7) = 1 - P(x > 7) = 1- P(x = 8)[/tex]
That probability
Probability 8 drive to work
[tex]= C(8,8) 0.77^8 * 0.23^0 = 0.77^8 = 0.123\\=1 - 0.1236 = 0.8764[/tex]
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A hip H leave a port P and ail 30km due outh then it ail 60km due wet. What i the bearing of H to P
The bearing of H from P is 243°26′
In mathematics, an angle is a measure of the amount of rotation between two lines or planes. It is measured in units of degrees or radians. An angle is formed by two rays that have a common endpoint called the vertex. The rays are the sides of the angle and the vertex is the point where the rays meet.
An angle is defined by its measure, which is the amount of rotation between the two rays. The most common way to measure angles is in degrees, where a full rotation is equal to 360 degrees. Another way to measure angles is in radians, where a full rotation is equal to 2*pi radians.
Let the bearing of H from P be represented by x°.
tanθ=3060=0.5
θ=tan−1(0.5)=26.565°
x=180°+(90−26.565)
x=180+63.435=243.435°
= 243°26′
Hence, the bearing of H from P is 243°26′
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a) we roll 50 dice to find the distribution of the number of spots on the faces. b) howlikelyisitthatinagroupof120themajority may have type a blood, given that type a is found in 43% of the population? c) we deal 7 cards from a deck and get all hearts. how likely is that? d) we wish to predict the outcome of a vote on the school budget, and poll 500 of the 3000 likely voters to see how many favor the proposed budget. e) a company realizes that about 10% of its packages are not being sealed properly. in a case of 24, is it likely that more than 3 are unsealed?
We can use probability to find the answers to the questions - the final answers are given below.
The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not. In general, probability has many wonderful uses in games, in business to make forecasts based on likelihood, and in this emerging branch of artificial intelligence.
We will answer each part in detail.
Part (a)
No, there are more than 2 outcomes in this particular scenario.
Part (b)
Yes, there are two outcomes (Type A or not).
Part (c)
No, probability changes as the cards are dealt.
Part (d)
No, the trials are not independent.
Part (e)
Yes, two outcomes (more than 3 or not)
These are the final answers:
(a): No
(b): Yes
(c): Yes
(d): No
(e): Yes
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Evaluate 4-0.25g+0.5h when g=10=5
Answer:
4
Step-by-step explanation:
First, substitute in g and h:
4-(0.25x10)+(0.5x5)
4-2.5+2.5
Then -2.5 and +2.5 cancel out, so you are left with:
4
1) coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 10 3 in / min . a) how fast is the level in the pot rising when the coffee in the cone is 5 in. deep? b) how fast is the level in the cone falling then?
The rate at which the level in the pot is rising at the instant when the coffee in the pot is 10 cm, is 16/9π cm/min.
A cylinder is a three-dimensional solid in mathematics that maintains, at a given distance, two parallel bases connected by a curving surface.
For cylindrical pot,
Volume, V = πr²h
dV/dt = π(r²dh/dt+h * 2r dr/dt)
Since r is constant,
Therefore, dr/dt = 0
dV/dt = 100 = πr²dh/dt
100 = π * 225/4 *dh/dt (since r = 15/2 cm)
=> dh/dt = 400/ 225π = 16/9π cm/min.
Thus, The rate at which the level in the pot is rising at the instant when the coffee in the pot is 10 cm, is 16/9π cm/min.
Correct question: Coffee is draining from a conical filter with height and diameter both 15 cm, into a cylindrical coffee pot with diameter 15 cm. The rate at which coffee drains from the filter into the pot is 100 cc/min. The rate in cm/min at which the level in the pot is rising at the instant when the coffee in the pot is 10 cm, is?
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Divide $3300 into three parts with the ratio of 1:3:7
PLEASE ANSWER QUICKLy!!!!!!
Answer:
Step-by-step explanation:
So you add 1+3+7 which gives you 11
And the you divide 3300 by 11 which gives you 300 and from that you do:
1 x 300= 300
3 x 300= 900
7 x 300= 2100
And there you have it in the ratio of 1:3:7
300:900:2100
And to simplify it you find a number which you can divide them all from in this case is 100 and so:
300÷100=3
900÷100=9
2100÷100=21
3:9:21
Hope that helped.
Detroit, Michigan, like a number of large cities, is losing population every year. Below is a table showing the population of Detroit each decade.
Year 1960 1970 1980 1990 2000
Population (millions) 1.67 1.51 1.20 1.03 0.95
a. Find an equation for the regression line.
b. Find the correlation coefficient and explain the meaning of its sign.
c. Estimate the population of Detroit in 2008
please show all work
The equation for regression line is ŷ = -0.0192X + 39.288,
The correlation coefficient is -0.9817,
The population of Detroit in 2008 is 0.73 millions.
What is a regression line?A line that, using the bivariate data gathered, summarises the linear relationship (or linear trend) between the two variables in a linear regression study.
An estimate of the line that depicts the actual, but the unidentified, linear relationship between the two variables is called a regression line. When the value of the explanatory variable is known, the regression line's equation is used to predict (or estimate) the value of the response variable.
Given table showing the population of Detroit each decade.
year 1960 1970 1980 1990 2000
Population (millions) 1.67 1.51 1.20 1.03 0.95
A. equation for regression line,
X - Mx Y - My (X - Mx)² (X - Mx)² (X - Mx)(Y - My)
-20 -20 400 0.158 -7.96
-10 -10 100 0.057 -2.38
0 0 0 0.005 0
10 10 100 0.059 -2.42
20 20 400 0.104 -6.44
Sum: 1000.00 Sum: 0.382 Sum: -19.200
Sum of X = 9900
Sum of Y = 6.36 millions
Mean X = 1980
Mean Y = 1.272
Sum of squares (SSX) = 1000
Sum of products (SP) = -19.2
Regression Equation = ŷ = bX + a
b = SP/SSX = -19.2/1000 = -0.0192
a = MY - bMX = 1.27 - (-0.02*1980) = 39.288
ŷ = -0.0192X + 39.288
B. correlation coefficient,
X Values
∑ = 9900
Mean = 1980
∑(X - Mx)² = SSx = 1000
Y Values
∑ = 6.36
Mean = 1.272
∑(Y - My)² = SSy = 0.382
X and Y Combined
N = 5
∑(X - Mx)(Y - My) = -19.2
r Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -19.2 /√((1000)(0.382)) = -0.9817
Meta Numerics
r = -0.9817
The value of R is -0.9817.
High X variable scores correlate negatively with low Y variable scores because of this strong negative connection (and vice versa).
C. population in 2008
y = -0.0192X + 39.288
substitute x = 2008
y = -0.0192(2008) + 39.288
y = 0.7344
population in 2008 is 0.73 millons.
Hence the equation is ŷ = -0.0192X + 39.288,
the correlation coefficient is r = -0.9817
and population of Detroit in 2008 is 0.73 millions.
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Please help. Hate geometry tbh
Answer: The lines are only parallel if these pairs of angles are of equal size:
Angle 1 ≡ Angle 5
Angle 2 ≡ Angle 6
Angle 3 ≡ Angle 7
Angle 5 ≡ Angle 8
Step-by-step explanation:
All these angles follow a rule called corresponding angles. The rule goes that corresponding angles on parallel lines are equal. If the pairs of angles are equal, this must mean that the lines are parallel and vice versa.
consider an urn that initially contains 3 red balls and 5 blue balls. you remove a ball from the urn, and then (regardless of the color of the ball that you removed) you add two red balls to the urn. then you remove another ball from the urn. (a) what is the conditional probability that the second ball you remove is red given that the first ball you remove is red? (b) what is the probability that both balls that you remove are red? (c) what is the probability that the second ball that you remove is red?
The probability that both balls removed are red is 10.7%, while the probability that the second ball removed is red is 19.0%.
(a) The conditional probability that the second ball you remove is red given that the first ball you remove is red is 2/7 or 28.6%.
P(second ball is red | first ball is red) = P(second ball is red and first ball is red) / P(first ball is red)
= (2/7) / (3/8)
= 2/7
(b) The probability that both balls that you remove are red is (3/8)*(2/7) = 6/56 or 10.7%.
P(both balls are red) = P(first ball is red) * P(second ball is red | first ball is red)
= (3/8) * (2/7)
= 6/56
(c) The probability that the second ball that you remove is red is (2/7)*(5/9) + (3/8)*(2/7) = 4/21 or 19.0%.
P(second ball is red) = P(second ball is red and first ball is red) + P(second ball is red and first ball is blue)
= (2/7)*(5/9) + (3/8)*(2/7)
= 4/21
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I need help very fast
Find Least common multiple of
1-x^2 and (x-1)^3
Answer:
(x-1)^3.
Step-by-step explanation:
To find the least common multiple (LCM) of two polynomials, you can factor them and take the highest exponent of each variable that appears. In this case, the LCM is (x-1)^3 because it has the highest exponent of x that appears in both polynomials. It also contains all the other terms of both polynomials.
