Answers
Answer:
14
Step-by-step explanation:
Starting with 11x-3=8:
Add 3 to both sides:
11x = 11
Divide both sides by 11:
x = 1
Now we can substitute x=1 into 6x+8:
6(1)+8 = 6+8 = 14
Answer:
Step-by-step explanation:
First, solve for x.
11x - 3 = 8
+3 +3
11x = 11
/11 /11
x = 1
Then, plug in the value for x.
6 (1) + 8
= 14
Related Questions
You wants to make a scale drawing of her kitchen her kitchen is a rectangle with 6 M and 2 m wide she decides on a scale of 1 to 40 m draw a label of the dimension of the scale of Mia's Kitchen using a scale of 1 to 40
Answers
Her door should be 3 cm on scale .
A ratio is defined as a comparison of two quantities of equal units, showing how much of one quantity is in the other quantity.It is given that dimension of the kitchen table is 60m by 2 m .
Let the width of the door be " x".
We given Mal's Kitchen door is 1.2 m wide .
The ratio is given by
\(x:1.2\) ......(1)
She decides on a scale of 1 to 40 which means 1 : 40 .....(2)
Equating equation (1) and (2) , we get
\(x:1.2=1:40\)
Representing in fraction , we get
\(\frac{x}{1.2} =\frac{1}{40} \\\\x=\frac{1.2}{40} \\\\x=0.03m\\x=3cm\)
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The complete question is mention below :
Mai wants to make a scale drawing of her kitchen. her kitchen is a rectangle with length 6m and width 2m. She decides on a scale of 1 to 40. Mal's Kitchen door is 1.2 m wide. How wide should the door be on the scale drawing?How wide should the door be on the scale drawing?
I have to take a pic of the question
Answers
ANSWER
\(y=\frac{2}{3}x+\frac{4}{3}\)EXPLANATION
We want to find the equation of the straight line given on the graph.
The general form of a linear equation is given as:
\(y=mx+b\)where m = slope; b = y-intercept
To find the slope, we apply the formula for slope:
\(m=\frac{y_2-y_1}{x_2-x_1}\)where (x1, y1) and (x2, y2) are two points on the line
Let us pick (1,2) and (4,4)
Therefore, the slope is:
\(m=\frac{4-2}{4-1}=\frac{2}{3}\)To find the equation, we now apply the point-slope formula:
\(y-y_1=m(x-x_1)\)Therefore, we have that the equation of the line is:
\(\begin{gathered} y-2=\frac{2}{3}(x-1) \\ y-2=\frac{2}{3}x-\frac{2}{3} \\ y=\frac{2}{3}x-\frac{2}{3}+2 \\ y=\frac{2}{3}x+\frac{4}{3} \end{gathered}\)That is the equation of the line.
find the distance between the given points. a (5, 3) and b (7, -4) distance = click and hold down mouse button to move this imageclick and hold down mouse button to move this image
Answers
The distance between the given points a (5, 3) and b (7, -4) is `sqrt[53]` or approximately 7.28 units.
To find the distance between the given points a (5, 3) and b (7, -4),
we can use the distance formula.
Distance formula: The distance formula is used to find the distance between two points in a plane.
It is given by;`d = sqrt[(x2 - x1)² + (y2 - y1)²]`
where, (x1, y1) and (x2, y2) are the coordinates of two points on a plane,
and d is the distance between the two points.
So, for points a (5, 3) and b (7, -4), let's substitute the values in the formula;
d = sqrt[(7 - 5)² + (-4 - 3)²]d = sqrt[2² + (-7)²]d = sqrt[4 + 49]d = sqrt[53]
Hence, the distance between the given points a (5, 3) and b (7, -4) is `sqrt[53]` or approximately 7.28 units.
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which type of unit cell has a coordination number of 12?
Answers
A cubic close-packed (ccp) unit cell has a coordination number of 12.
A cubic close-packed (ccp) unit cell has an arrangement of atoms where each atom is surrounded by 12 other atoms, resulting in a coordination number of 12.
A cubic close-packed (ccp) unit cell is a type of unit cell that has an arrangement of atoms where each atom is surrounded by 12 other atoms. This arrangement forms a structure with a coordination number of 12, meaning that each atom has 12 other atoms in contact with it. This type of arrangement is very common in many materials, and is often used to describe the structure of metals and other crystalline materials. The atoms in a ccp unit cell are arranged in a regular pattern, with three atoms in each of the eight corners and four atoms in the center of each face of the unit cell.
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16) A gardener uses 2/3 of a greenhouse for growing roses, with 3/8 of this space for red roses. What part of the space is used to grow tea roses?
17) Tiffany spent 3/5 of her money to buy begonias and 1/2 of the remaining money to buy peas. What part of her money did she spend on peas?
Answers
Answer:
1/4
Step-by-step explanation:
don't ask
Use the exchange rate £1 = €1.11 to convert €222 into £.
Answers
Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (5 cos(t), 9t, 5 sin(t)) v(t) = a(t) = lv (t)I = A force with magnitude 45 N acts directly upward from the xy-plane on an object with mass 9 kg. r(t) =
Answers
Velocity, acceleration, and speed of a particle with the given position function are given by v(t) = a(t) = lv(t) = sqrt(25 sin2(t) + 81 + 25 cos2(t)) = sqrt(106), a(t) = (d/dt)v(t) = 0, and speed = lv(t) = sqrt(106).
Position function given as
r(t) = (5cos(t),9t,5sin(t)).By differentiating the position function r(t), we get velocity function v(t).
v(t) = dr(t)/
dt = (-5sin(t),9,5cos(t)).Acceleration function a(t) is obtained by differentiating the velocity function.
v(t) = (5cos(t),9t,5sin(t))a
(t) = dv(t)/
dt = (d/dt)(-5sin(t),9,5cos
(t)) = (0,0,0)Speed of the particle = magnitude of velocity function
v(t) = sqrt(x(t)2+y(t)2+z(t)2)v
(t) = sqrt(25 sin2(t) + 81 + 25 cos2
(t)) = sqrt(106).
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if a 10,000 kg ufo made of antimatter crashed with a 40,000 kg plane made of matter, calculate the energy of the resulting explosion.
Answers
To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).
In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.
To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.
Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.
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solve for y: 1/2(4y+6)=4-2(y-6)/3
Answers
Answer:
y = 7/8
Step-by-step explanation:
12y+18=-4y+32
12y+18-18=-4y+32-18
12y=-4y+14
12y+4y=-4y+14+4y
16y=14
16y/16=14/16
y = 7/8
Find the slope of the line that passes through:
(-2,-5) and (8, -11)
Answers
Answer:
Slope= \(\frac{-3}{5}\)
Step-by-step explanation:
(-2 , -5) ; (8,-11)
\(Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-11-[-5]}{8-[-2]}\\\\=\frac{-11+5}{8+2}\\\\=\frac{-6}{10}\\\\=\frac{-3}{5}\)
What is the range of the function y = startroot x 5 endroot? y greater-than-or-equal-to negative 5 y greater-than-or-equal-to 0 y greater-than-or-equal-to startroot 5 endroot
Answers
The range of the function y = √(x +5) is y ≥ 0
What is the range of the function?The domain of a function is the set of all possible values of x
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
we have
y = √(x +5)
Remember that the radicand of the function must be greater than or equal to zero
so (x +5) ≥ 0
solve for x
x ≥ -5
The domain is the interval ----> [-5,∞)
For x= -5
y = √(-5 +5) = 0
so
The range is the interval ----> [0,∞)
y ≥ 0
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For a standard normal random variable, what z-score has: __________
Answers
a) The z-score corresponding to the probability of 0.2000 to the right is z = 0.84.
b) The z-score corresponding to the probability of 0.9000 to the left is z = -1.28.
a) To find the z-score corresponding to a probability of 0.2000 to the right, we need to use the fact that the area under the standard normal distribution to the right of z is equal to 1 minus the area to the left of z.
In other words, we need to find the z-value such that the area to the left of it is equal to 1 - 0.2000 = 0.8000. Consulting a standard normal distribution table or using a calculator, we find that this z-value is approximately 0.84. Therefore, the answer is z = 0.84.
b) Similarly, to find the z-score corresponding to a probability of 0.9000 to the left, we need to find the z-value such that the area to the left of it is equal to 0.9000. Consulting a standard normal distribution table or using a calculator, we find that this z-value is approximately 1.28. Therefore, the answer is z = -1.28.
In both cases, we used the fact that the standard normal distribution has a mean of 0 and a standard deviation of 1, and we transformed the probability into an area under the curve.
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Complete question is:
For a standard normal random variable, what z-score has:
a) probability 0.2000 to the right? z = _____
b) probability 0.9000 to the left? z = _________
Kaizen is a Japanese word that means continuous development. It says that each day we should focus on getting 1% better on whatever we're trying to improve.
How much better do you think we can get in a year if we start following Kaizen today?
Note: You can take the value of
(1.01)^365 as 37.78.
Answers
If we follow Kaizen's principle and improve by 1% each day, we can get approximately 37.78 times better in a year.
If we follow Kaizen's principle of improving by 1% each day, we can calculate how much better we will get in a year by using the formula:
Final Value = Initial Value x (1 + Daily Improvement Percentage)^Number of Days
Since we are trying to calculate how much better we can get in a year, we can plug in the following values:
Initial Value = 1 (assuming we are starting from our current level of performance)
Daily Improvement Percentage = 0.01 (since we are trying to improve by 1% each day)
Number of Days = 365 (since there are 365 days in a year)
Using these values, we get:
Final Value = 1 x (1 + 0.01)³⁶⁵
Final Value ≈ 1 x 37.78
Final Value ≈ 37.78
This shows the power of continuous improvement and the importance of consistent effort towards our goals.
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Find the slope of the tangent line to the parabola at the point.
Answers
The equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.
To find the slope of the tangent line to the parabola at the point (1,5), we need to find the derivative of the equation y = 6x - x² and evaluate it at x = 1.
Taking the derivative of y with respect to x:
dy/dx = d(6x - x²)/dx
= 6 - 2x
Now, we can substitute x = 1 into the derivative to find the slope at that point:
slope = 6 - 2(1)
= 6 - 2
= 4
So, the slope of the tangent line to the parabola at the point (1,5) is 4.
To find the equation of the tangent line, we need to use the point-slope form of a line.
The equation is given by:
y - y₁ = m(x - x₁)
Substituting the values we have:
y - 5 = 4(x - 1)
Expanding and simplifying:
y - 5 = 4x - 4
Moving the constant term to the other side:
y = 4x + 1
Therefore, the equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.
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Complete question =
Find the slope of the tangent line to the parabola at the point (1,5). y = 6x-x². find an equation of the tangent line.
* This is the correct answer, I have taken the test and am posting the answers in hopes of helping other people :] *
Based on the diagram, what is tanA?
Enter your answer in the boxes.
tanA=
Answers
Aw that's really nice of you thanks
thank you <3 appreciate it loads
Using the graph, determine the coordinates of the vertex of the parabola.
Answers
Answer:
The coordinates of the vertex are
(-5;-9)
Answer:
(-5, -9)
Step-by-step explanation:
Use of the coordinate plane, center of the parabola 5 to the left and down 9.
Hope this helped!
Write an equivalent expression to the following: 5y + 35 HINT: Think distributive property.
Answers
a spherical golf ball is measured to have a radius of $$5 mm, with a possible measurement error of $$0.1 mm. what is the possible change in volume? use differential to estimate the error when computing the volume.
Answers
The possible change in volume (in mm3) resulting from the error in measuring the radius is 32. 06 mm³
Given,
A spherical golf ball is measured to have a radius of $$5 mm, with a possible measurement error of $$0.1 mm
How to determine the volume
The formula for volume of a sphere is expressed by;
Volume = 4/3 πr³
Where;
r is the radius of the sphere
pi takes the value 3.14
From the information given, we have that the measured radius is 5 mm, with a possible measurement error of 0.1 mm
Then, radius a = 5mm
Radius b = 5 + 0. 1 = 5. 01mm
Now, substitute the values into the formula
Volume, v = 4/ 3 (3.14)(5)³
v = 4/ 3 (392.5)
v = 523. 3 mm³
For radius of 5.01mm
Volume = 4/ 3 (3.14)(5.1)³
expand the bracket
Volume = 4/3 (416.52)
Volume = 555. 4 mm³
The change in volume = 555. 4 - 523. 3 = 32. 06 mm³
Hence, the change in volume is 32. 06 mm³
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Lucy spent a total of $95 at the grocery store. Of this amount, she spent $38 on fruit. What percentage of the total did she spend on fruit?
Answers
Answer:
40%
Step-by-step explanation:
Michelle is taking a 50 question science test in which each question is worth 2 points each. If she must get at least a 92 on the test to make an A for the class, how many question must she get correct?”
Answers
Michelle's score is given by the following formula
\(S=2\cdot C\)where, S is her final score and C represent the number of correct answers.
Since she must get at least a 92, then S = 92
therefore,
\(\begin{gathered} 92=2\cdot C \\ C=\frac{92}{2} \\ C=46 \end{gathered}\)She must get at least 46 correct questions.
The table shows the temperature (F) at noon in midwinter compared to the altitude of the city in feet. Use technology to determine the correlation coefficient to the nearest hundredth.
Answers
The correlation coefficient for the data-set in this problem is given as follows:
r = -0.99.
What is a correlation coefficient?A correlation coefficient is a statistical measure that indicates the strength and direction of a linear relationship between two variables.
The coefficients can range from -1 to +1, with -1 indicates a perfect negative correlation, 0 indicates no correlation, and +1 indicates a perfect positive correlation.
The points for this problem are given as follows:
(15, 510), (25, 510), (40, 460), (45, 450), (55, 425), (72, 360), (78,355).
Inserting these points into a calculator, the correlation coefficient is given as follows:
r = -0.99. (rounded to the nearest hundredth).
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Y=-3x+4
Find x please
Answers
hope it helps
stay safe healthy and happy.Answer:
x=-1/3y+4/3
Step-by-step explanation:
-3x+4=y
-3x+4+-4=y+-4
-3x=y-4
-3x/-3=y-4/-3
x=-1/3y+4/3
A grocery store sells a bag of 7 oranges for $6.65. What is the unit cost?
Answers
Stephanie wants to buy 's' tomato plants, and Diego wants to by 'd' tomato plants. Each plant costs $7. Stephanie will use a coupon that will give them $25 off the total cost of all their plants. Which expression represents the total cost of all the plants with the discount? *
Answers
→Answer:
T=7s + 7d -25
→Step-by-step explanation:
→Given info
Each tomato plants cost $7
$25 off coupon
Stepanie ‘s’
Diego ‘d’
Total is ’T’
____________________________________________________________
So if the total is T, thefore the equation starts with T=.
So T=7s + 7d -25.
____________________I do hope this helps!________________________
________________Brainliest is always appreciated!__________________
Two planes take off from the same airport at the same time using different runways. One plane travels on a bearing S 13 degrees W degrees S 13° W at 450 miles per hour. The other plane travels on a bearing N 75 E degrees at 250 miles per hour. How far are the planes from each other 2 hours after takeoff? (round to the nearest mile as needed)
Answers
The planes are approximately 1031 miles from each other 2 hours after takeoff. To solve this problem, we need to use trigonometry to find the distance between the two planes after 2 hours of flight. We can use the law of cosines to find the distance between the two planes.
First, we need to find the distances each plane has traveled after 2 hours. The plane traveling on a bearing S 13° W has traveled:
d1 = 450 miles/hour * 2 hours = 900 miles
The plane traveling on a bearing N 75° E has traveled:
d2 = 250 miles/hour * 2 hours = 500 miles
Now we can use the law of cosines to find the distance between the two planes:
d^2 = d1^2 + d2^2 - 2*d1*d2*cos(103°)
d^2 = 900^2 + 500^2 - 2*900*500*cos(103°)
d^2 = 810,000 + 250,000 - 900,000*(-0.287)
d^2 = 1,060,433
d = 1030.9 miles
Therefore, the planes are approximately 1031 miles from each other 2 hours after takeoff.
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Question 4 of 10
The standard form of the equation of a parabola is y=x²-6x+14.
What is the vertex form of the equation?
OA y=(x-3)2 +15
OB. y = (x+3)(x-3) +5
O C. y=(x-3)2 +23
OD. y=(x-3)² +5
Answers
The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.
To convert the given equation from standard form to vertex form, we need to complete the square.
The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.
Given equation: y = x² - 6x + 14
Move the constant term to the right side:
y - 14 = x² - 6x
Complete the square by adding and subtracting the square of half the coefficient of x:
y - 14 + 9 = x² - 6x + 9 - 9
Group the terms and factor the quadratic:
(y - 5) = (x² - 6x + 9) - 9
Rewrite the quadratic as a perfect square:
(y - 5) = (x - 3)² - 9
Simplify the equation:
y - 5 = (x - 3)² - 9
Move the constant term to the right side:
y = (x - 3)² - 9 + 5
Combine the constants:
y = (x - 3)² - 4
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Find the real zeros of F then use the real zeros to factor f.
Answers
Solution:
Given:
\(f(x)=x^4+10x^3-15x^2-40x+44\)The zeros of the function are as follows;
Using the theorem, if f(a) = 0, then x = a is a root or zero.
Hence;
\(\begin{gathered} f(1)=1^4+10(1^3)-15(1^2)-40(1)+44 \\ f(1)=1+10-15-41+44 \\ f(1)=0 \\ \\ Hence,\text{ } \\ x=1\text{ is a zero} \end{gathered}\)\(\begin{gathered} f(2)=2^4+10(2^3)-15(2^2)-40(2)+44 \\ f(2)=16+80-60-80+44 \\ f(2)=0 \\ \\ Hence,\text{ } \\ x=2\text{ is a zero} \end{gathered}\)Trying other numbers, it follows also that;
\(\begin{gathered} f(-2)=(-2)^4+10(-2^3)-15(-2^2)-40(-2)+44 \\ f(-2)=16-80-60+80+44 \\ f(-2)=0 \\ \\ Hence,\text{ } \\ x=-2\text{ is a zero} \end{gathered}\)The last root is;
\(\begin{gathered} f(-11)=(-11)^4+10(-11^3)-15(-11^2)-40(-11)+44 \\ f(-11)=14641-13310-1815+440+44 \\ f(-11)=0 \\ \\ Hence,\text{ } \\ x=-11\text{ is a zero} \end{gathered}\)Therefore, the zeros are;
x = 1
x = 2
x = -2
x = -11
Using the factor theorem, if x = a is a zero, then (x-a) is a factor.
Thus,
\(\begin{gathered} x=1,(x-1)\text{ is a factor} \\ x=2,(x-2)\text{ is a factor} \\ x=-2,(x+2)\text{ is a factor} \\ x=-11,(x+11)\text{ is a factor} \end{gathered}\)Hence, the polynomial can be factored as;
\(x^4+10x^3-15x^2-40x+44=\left(x-1\right)\left(x+11\right)\left(x+2\right)\left(x-2\right)\)Name one similarity between the measure of a clockwise and counterclockwise rotation.
Answers
Answer:
they go around
Step-by-step explanation:
Solve the equation. Linear Equations:Variable on Both Sides
-7x-3x+2=-8x-8
Solve it step by step
Answers
Rewrite the equation y= 4/5.x + 3 in general form Ax + By + C = O
Answers
Work Shown:
y = (4/5)x + 3
5y = 4x + 15 ... multiply all terms by 5 to clear out the fraction
0 = 4x + 15 - 5y ... subtract 5y from both sides
4x-5y+15 = 0 .... rearrange terms
The equation is in standard form Ax+By+C = 0 where A = 4, B = -5, C = 15.
Some books use Ax+By = C to represent standard form. It's effectively the same thing just with C on the other side.