Answer:
x = 222:2 and x = 2
Step-by-step explanation:
(2x-123):3=33
(2x – 123):3 = 33
2x – 123 = 33.3
2x – 123 = 99
2x = 99 + 123
2x = 222
x = 222:2
x = 111
200-8.(2x+7)=112
200 – 8.(2x + 7) = 112
-8.(2x + 7) = 112 – 200
-8.(2x + 7) = -88
2x + 7 = (-88):(-8)
2x + 7 = 11
2x = 11 – 7
2x = 4
x = 4:2
x = 2
I hope my answer helps you.
i need help with these answers!
Answer:
1. true
2. false
3. supplementary
4. vertical
5. it would be 5
what is the equation of the parabola with focus at (2,4) and directrix y=0?
Okay, here we have this:
Considering the provided information, we are going to find the requested equation of the parabola, so we obtain the following:
According to the information given by substituting in the form of the parabola we have the following equation:
\((x-2)^2=8(y-2)\)Let's solve for y:
\(\begin{gathered} y-2=\frac{(x-2)^2}{8} \\ y-2=\frac{x^2-4x+4}{8} \\ y=\frac{1}{8}x^2-\frac{1}{2}x+\frac{1}{2}+2 \\ y=\frac{1}{8}x^2-\frac{1}{2}x+\frac{5}{2} \end{gathered}\)Finally we obtain that the correct answer is the option D.
Some friends are planning on going on a road trip that is 3,600 kilometers long. If they drive an average of 600 kilometers each day, how long will their road trip last?
Step-by-step explanation:
3600/600=36/6=6 days
please give me brainlest❤️
Kendrick caught 22 rainbow trout and 18 tiger trout while fishing last month. What percent of the trout were tiger trout?
Answer:81%
Step-by-step explanation:
Answer:
60% tiger trout
Step-by-step explanation:
First, do 22+18= 40
Then, when doing % its always out of 100. So, 100 - 40= 60%
Which means, there were 60% Tiger trout.
1 a tobacco company produces blends of tobacco, with each blend containing various proportions of turkish, domestic, and other tobaccos. the proportions of turkish and domestic in a blend are random variables with joint density function (x
(a) 0.5, (b) f_Y(y) = 12y(1-y), (c) 9/128, (d) 7/36 - Probability calculations using joint density function.
(a) To find the Probability that the Turkish tobacco represents over a portion of the mix, we want to incorporate the joint thickness capability over the district where x > 0.5 and y < 1 - x. This gives:
P(X > 0.5) = ∫[0.5,1]∫[0,1-x] 24xy dy dx = 0.5
Consequently, the Probability that the Turkish tobacco represents over around 50% of the mix is 0.5.
(b) To find the negligible thickness capability for the extent of homegrown tobacco, we really want to incorporate the joint thickness capability over all potential upsides of Turkish tobacco:
f_Y(y) = ∫[0,1-y] 24xy dx = 12y(1-y) ; 0 < y < 1
Thusly, the peripheral thickness capability for the extent of homegrown tobacco is f_Y(y) = 12y(1-y).
(c) To find the Probability that the extent of Turkish tobacco is under 1/8 given that the mix contains 3/4 homegrown tobacco, we really want to utilize Bayes' standard:
P(X < 1/8 | Y = 3/4) = P(X < 1/8 ∩ Y = 3/4)/P(Y = 3/4)
We can find the numerator by coordinating the joint thickness capability over the district where x < 1/8 and y = 3/4:
∫[0,1/8] 24xy dx = 27/128
To find the denominator, we coordinate the joint thickness capability over all potential upsides of Turkish tobacco when y = 3/4:
∫[0,1/4] 24xy dx = 3
Thusly, the contingent Probability is:
P(X < 1/8 | Y = 3/4) = (27/128)/3 = 9/128
(d) To find the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco, we want to incorporate the joint thickness capability over the area where y > 2x and x + y < 1. This gives:
P(Y > 2X) = ∫[0,1/3]∫[2x,1-x] 24xy dy dx + ∫[1/3,1/2]∫[2x,1-x] 24xy dy dx
= 7/36
Accordingly, the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco is 7/36
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The complete question is:
A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) 24xy ;0< x, y < 1, x +y<1 fx.y(1,7) (2) ; otherwise (a) (1 point) Find the probability that in a given box the Turkish tobacco accounts for over half the blend. Page 2 (b) (1 point) Find the marginal density function for the proportion of the domestic tobacco. (c) (1 point) Find the probability that the proportion of Turkish tobacco is less than 1/8 if it is known that the blend contains 3/4 domestic tobacco. (d) (2 points) Find the probability that the proportion of domestic tobacco is more than twice the proportion of the Turkish tobacco.
Can a volume of box is 288 and it's measurements are 12x8x3
yes that is the answer
12 times 8 is 96
96 times 3 is 288
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Decide if the function is an exponential function. If it is, state the intial value and the base. y = 5 ^ x
Answer:
B
Step-by-step explanation:
In trapezoid ABCD, line AC is a diagonal and angle ABC is congruent to angle ACD. Find AC if the lengths of the bases line BC and line AD are 12m and 27m, respectively
Since ΔABC and ΔACD are similar triangles, therefore the length of AC is 18 m.
What are Similar Triangles?Similar triangles are triangles with corresponding sides that have the same ratio.
Thus:
AD is parallel to BC (bases of a trapezoid are parallel)
Therefore:
∠ACB = ∠CAD (alternate interior angles)
This implies that, ΔABC ~ ΔACD by AA similarity theorem.
Thus:
AC/DA = CB/AC
Substitute
AC² = 12 × 27
AC = √324
AC = 18 m
Therefore, since ΔABC and ΔACD are similar triangles, therefore the length of AC is 18 m.
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The points on the graph represent both an exponential function and a linear function.
Complete this table by reading the values from the graph. Estimate any function values that are less than one.
x -3 -2 -1 0 1 2 3
Exponential function _____ _____ _____ _____ _____ _____ _____
Linear function _____ _____ _____ _____ _____ _____ _____
At approximately what values of x do both the linear and exponential functions have the same value for y?
We are given two curves on a graph paper and we have to find the y values for the given x.
From the graph we can check for a value of x, what is the value of y from the curve.
x -3 -2 -1 0 1 2 3
Exp 8 4 2 1 0.5 0.25 0.125
Lin. 7.5 6 4.5 3 1.5 0 -1.5
We find that the two have the same values where the two curves intersect.
From the graph we find that near to -3 and near to 2 both have the same values.
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The missing graph is attached below.
can Someone helps me
Answer:
10.63
Step-by-step explanation:
To find the Hypotenuse we need to use Pythagorean Thereom. So plugging in the formula the square root of A squared plus B squared you get 10.63
Answer:
Step-by-step explanation:
To solve the triangle means to find ALL unknown elements of Δ ( sides and angles )
JH² = 8² + 7² = 113
JH = √113 ≈ 10.63 m
m∠H = β
\(\frac{8}{7}\) = tan β ; β = arctan \(\frac{8}{7}\) = \(tan^{-1}\) \(\frac{8}{7}\) ≈ 48.814°
m∠H ≈ 49 °
m∠J = 90° - 49° = 41 °
Write a system of equations and solve:
Alana wanted to stock up on drinks for an upcoming party. First,
she spent $32 on 7 cases of juice and 9 cases of soda, which is all
the store had in stock. A few days later, she returned to the store
and purchased an additional 7 cases of juice and 11 cases of
soda, spending a total of $36. What is the price of each drink?
HELP ME IVE BEEN DOING THIS FOR hour and haven’t gotten response HEPP please!!
The price of each drink would be; $2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals sign on either side. the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Noted that Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.
Given that Alana spent $32 on 7 cases of juice and 9 cases of soda.
she purchased an additional 7 cases of juice and 11 cases of soda, spending a total of $36.
Assume that the price for juice be $ and price of soda be $y.
Then, the system of equation is;
7x + 9y = 32
7x + 11y = 36
Solving the above equation;
x= 2 and y= 2
Thus, the cost of each drink = $2.
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Angle TLN equals (3X -18)°, angle MZQ equals (5X +14)° and
For the given figure, x = 23° and y = 129°
Parallel lines:
Parallel lines are lines that always stay the same distance apart and never meet.
Transversal line :
A transversal is a line that crosses two or more other lines.
given,
∠TLN = (3x - 18)°
∠MZQ = (5x + 14)°
∠NLM = y°
Now,
∠MZP + ∠MZQ = 180° (Linear Pair)
∠MZP = 180° - ∠MZQ ...........(I)
again,
∠NLM + ∠TLN =180° ...........(II) (Linear Pair)
As, ∠TLN = ∠MZP (Corresponding Angle)
(3x - 18)° = 180° - ∠MZQ
(3x - 18)° = 180° - (5x + 14)°
3x + 5x = 180° - 14° + 18°
8x = 184°
x = 184 / 8
x = 23°
From (II),
∠NLM + ∠TLN =180°
y° + 3x - 18° = 180°
y = 180 - 3x + 18
= 180 - 3* 23 + 18
= 180 - 69 +18
y = 129°
For the given figure,
x = 23° and y = 129°
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Kendyl started reading a new book over the weekend. She was able to read 8 pages in the 20 minutes before dinner.at this rate how long will it take for her to read the entire book if it has 300 pages?
Answer:
750 minutes
Step-by-step explanation:
8 pages in 20 minutes
300 / 8 = 37.5
37.5 * 20 = 750
. Write the equation of a line with a slope of 4 passing through the point (3, 1). Write the
equation in slope-intercept form.
Answer:
y = 4x - 11
Step-by-step explanation:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) are any point on the line,m is the slope,and b is the y-intercept.We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:
1 = 4(3) + b
1 = 12 + b
-11 = b
Thus, the y-intercept is -11.
Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11
The answer is:
y = 4x - 11Work/explanation:
First, we will write the equation in point slope:
\(\sf{y-y_1=m(x-x_1)}\)
where m = slope;
(x₁,y₁) is a point on the line.
Plug in the data:
\(\sf{y-1=4(x-3)}\)
Simplify
\(\sf{y-1=4x-12}\)
Add 1 on each side
\(\sf{y=4x-12+1}\)
\(\sf{y=4x-11}\)
Hence, the equation is y = 4x - 11.If a perpetuity pays a cash flow (C) every time period, forever, how come it is not worth an
infinite amount of money right now? Explain.
50,000 ÷ 10 to power of 3
Answer:
50,000,000
Step-by-step explanation:
10 x 10 x 10 = 1,000
1,000 x 50,000 = 50,000,000
Select all the true equations
B, C, E
--5 + 0 does not equal zero
--any value tomes zero equals zero
--1.4 + 2.7 => 1.0 + 2.0 + 1.1 => 4.1
--2/3(5/9) = 10/27 not 7/12
--4(2/3) = 4.66666 and 5 - 1/3 = 4.66666
Answer:
B, C, and E
Step-by-step explanation:
A is incorrect because any number plus zero results in that number, not 0.
In equation form: \(x + 0 = x\)
B is correct because any number multiplied by zero results in 0.
In equation form: \(0(x) = 0\)
C is correct. We can split the added numbers into their decimal place values and add the values separately to get 4.1.
\(1.4 + 2.7 = (1 + 2) + (0.4 + 0.7) = 3 + 1.1 = 4.1\)
D is incorrect because when multiplying fractions, you simply multiply the numerator and denominator; however, this is not done here.
E is correct because 4 2/3 is one third less than 5; we can show this using improper fractions:
\(4 \dfrac{2}{3} = \dfrac{(4 \times 3) + 2}{3} = \dfrac{14}{3}\) \(5 = \dfrac{5 \times 3}{3} = \dfrac{15}{3}\)
\(\dfrac{15}{3} - \dfrac{14}{3} = \dfrac{1}{3}\)
is - 5/1 a integer?
Which number line model represents the expression 3.5+(-5)
Answer:
it is -1.5.
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
hope this helps
A bag of snacks contains 3 flavors: cherry, lemon, and grape. Carol will take 1 snack from the bag without looking. The probability for each flavor is shown in the table.
Convert 0.03 inches to days to grow 3 inches
Answer: 700
Step-by-step explanation:
i am smart
Can the following list represent a complete probability model? P(2)= 1/12 P(3) = 2/3 P(4) = 1/4
Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.
What exactly is probability?The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.
Here,
The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.
=> P(2) + P(3) + P(4)
=> 1/12 + 2/3 + 1/4
=> (1 + 8 + 3) / 12
=> 12 / 12 = 1
In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.
In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.
Therefore, a complete probability model cannot be represented by this list.
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In ΔDEF, the measure of ∠F=90°, DE = 9.4 feet, and EF = 8.4 feet. Find the measure of ∠D to the nearest degree.
Answer:
63°
Step-by-step explanation:
The sine of an angle is the ratio of the opposite side to the hypotenuse.
Sin = Opposite/Hypotenuse
sin(D) = EF/DE = 8.4/9.4
Using the inverse sine function, we can find the angle:
D = arcsin(8.4/9.4) ≈ 63.33°
∠D ≈ 63°
I NEED HELPP
1. Graph the numbers on the number line
1. Use <, > or = to compare
2. Graph the numbers on the number line
3. Use <, > or = to compare
4. Write in order from least to greatest
5. Write in order from greatest to least
Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.
Define comparing.Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.
Given,
Comparing the following using <, > or = ,
Numbers:
√17 and 29/7
For √17
Simplifying,
√17 = 4.123
For 29/7
29/7 = 4.14
√17 < 29/7
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Given mCT=26 and m/CAT =124° find the length of CA, the radius in Circle A. Use
π = 3.14 in your calculation and round to the nearest tenth.
Answer:
\(\text{length of \textit{CA}} \ = \ 12.0 \ \ \ (\text{nearest tenth})\)
Step-by-step explanation:
Radian measure is the ratio of the length of a circular arc to its radius.
A radian is the measurement of the central angle which subtends an arc whose length is equal to the length of the radius of the circle.
In the case of the unit circle, as shown in the figure below, one radian is the angle of the sector with a radius of 1 and circular arclength of 1.
Following this definition, the magnitude, in radians, of one complete revolution of a unit circle is the circumference of the unit circle divided by its radius, \(\displaystyle\frac{2\pi}{1}\) or \(2\pi\). Thus, \(2\pi\) radians is equal to \(360^{\circ}\) degrees. Alternatively, one radian is equal to \(\displaystyle\frac{180^{\circ}}{\pi} \ \approx \ 57.296^{\circ} \ \ \ (3 \ d.p.)\).
Since radian measure is defined as the ratio of the arc length of a sector to its radius, hence
\(\displaystyle\frac{s}{r} \ = \ \theta \\\\ s \ = \ r\theta\)
where \(s\) is the arclength, \(r\) is the radius, and \(\theta\) is the central angle, in radians.
Therefore, the length of CA is
\(\displaystyle\frac{s}{\theta} \ = \ r \\ \\ r \ = \ \displaystyle\frac{26}{124^{\circ} \ \times \ \displaystyle\frac{\pi}{180^{\circ}} \ \text{rad}} \\ \\ r = \displaystyle\frac{26 \ \times \ 45}{31 \ \times \ 3.14} \\ \\ r\ = \ 12.0 \ \ \ \ \left(\text{nearest tenth}\right)\)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Considering the relation between degree celsius and degree Fahrenheit, The correct answer is D) I and II only.
What is the relation between degree celsius and degree Fahrenheit?The relation between degree Celsius (°C) and degree Fahrenheit (°F) is given by the following equation:
°F = (°C * 9/5) + 32
what are the unit of temperature?The unit of temperature is a measure of the degree of hotness or coldness of an object or substance. There are several different units of temperature, including the degree Celsius (°C), the degree Fahrenheit (°F), and the kelvin (K).
The equation above shows that temperature F is equal to temperature C multiplied by 9/5 plus 32. This means that a temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 9/5 degrees Celsius, or approximately 1.8 degrees Celsius. Therefore, statement I is true.
The equation does not show any relationship between a temperature increase of 1 degree Celsius and a temperature increase of degrees Fahrenheit. Therefore, statement III is not true.
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Convert .805 liters to millimeter s
Now that you have strategies for finding the volume and surface area of a
sphere, return to problem 11-67 and help Alonzo answer his questions. That is,
determine:
The area of the Earth's surface that is covered in water.
The percent of the Earth's surface that lies in the United States.
. The volume of the entire Earth.
Remember that in Chapter 10, you determined that the radius of the Earth is
about 4,000 miles. Alonzo did some research and discovered that the land area
of the United States is approximately 3,537,438 square miles.
16
1. The area of the Earth's surface covered in water is approximately 0.71 * 201,061,929 = 142,550,781 square miles.
2. Approximately 1.76% of the Earth's surface lies in the United States.
3. The volume of the entire Earth is approximately 268,082,573,106 cubic miles.
To answer Alonzo's questions, let's calculate the required values using the given information:
1. The area of the Earth's surface that is covered in water:
The Earth's surface area can be calculated using the formula for the surface area of a sphere: 4πr^2. Given that the radius of the Earth is approximately 4,000 miles, we have:
Surface area of the Earth = 4π(4,000)^2 = 4π(16,000,000) ≈ 201,061,929 square miles.
Alonzo can research and find that about 71% of the Earth's surface is covered in water. Thus, the area of the Earth's surface covered in water is approximately 0.71 * 201,061,929 = 142,550,781 square miles.
2. The percent of the Earth's surface that lies in the United States:
The land area of the United States is approximately 3,537,438 square miles. To calculate the percentage, we divide the land area of the United States by the total surface area of the Earth and multiply by 100:
Percentage = (3,537,438 / 201,061,929) * 100 ≈ 1.76%.
Therefore, approximately 1.76% of the Earth's surface lies in the United States.
3. The volume of the entire Earth:
The volume of a sphere can be calculated using the formula: (4/3)πr^3. Substituting the radius of the Earth, we have:
Volume of the Earth = (4/3)π(4,000)^3 = (4/3)π(64,000,000,000) ≈ 268,082,573,106 cubic miles.
Thus, the volume of the entire Earth is approximately 268,082,573,106 cubic miles.
These calculations provide Alonzo with the approximate values he needs regarding the Earth's surface area covered in water, the percentage of the Earth's surface within the United States, and the volume of the entire Earth.
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translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.