find the x value (6x+9)° (4x-19)°
Answers
In this problem m and n are parallel lines, and the first angle is an exteriar angle an the secon is a interior angle.
this two condition give us that the two angles are complementary anlges so the sum of them should be 180 so:
\(6x+9+4x-19=180\)and we can solve for x so:
\(\begin{gathered} 10x-10=180 \\ 10x=180+10 \\ x=\frac{190}{10} \\ x=19 \end{gathered}\)Related Questions
Each sandbag holds 27 pounds of sand, and it takes 53 bags to go all the way around Wilma's house. How many pounds of sand does Wilma need to fill the sandbags around her house?
Answers
the measures of ABD is (0.2x+52) and the measures of CBD is (0.2x+42) find the value of x
Answers
The value of x in the triangle is determined as 45.
What is the value of x?The value of x in the triangle is calculated by applying the following formula,.
The measure of angle ABD = 0.2x + 52
The measure of angle CBD = 0.2x + 42
From the diagram, we can set-up the following equations;
x + 16 = 0.2x + 52
Simplify the equation above, by collecting similar terms;
x - 0.2x = 52 - 16
0.8x = 36
Divide both sides of the equation by " 0.8 "
0.8x / 0.8 = 36/0.8
x = 45
Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.
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ON
16
aset
3rd
test
MATHEMATICS
Direction : Assemor all question, Tome and Shoul Work
1) A) use the newerberline (6) to find the finishing points for
these infegers
a)- 5110
Answers
Answer:
what????????????????????
i need yall to simplify
Answers
Answer:
You cannot simplify the equation any further. There is no way to take the root of 4 from 5x/8y.
Nathan is hosting a part for 40 guests. He will count each of the 45 drop in guests as half a guest. How much of each food item should Nathan order?
Fried chicken- 24 pieces
Deli meats- 3 2/3
Lasagna 10 3/4
Answers
Answer:
25 guests is 2.5 times more than 10
Step-by-step explanation:
Multiply by 2.5
Chicken = 16 x 2.5 = 40
Lasagna = 7 x 2.5 = 17.5 , round to 18
Deli meat = 1.8 x 2.5 = 4.5, round to 5
Sliced cheese = 15 x 2.5 = 37.5, round to 38
Buns = 1 x 2.5 = 2.5, round to 3
Potato salad = 2 x 2.5 = 5
at a university, 75%, or 1,014, of first-year students take a maths course. How many first-year students are there at the university?
A. s/1,014 = 75/100 ; 76 students
B. s/1,014 = 75/100 ; 761 students
C. 1,014/s = 75/100 ; 1,352
D. 1,014/s = 75/100 ; 714
help me pls!?
Answers
Answer:
C
Step-by-step explanation:
1014=0.75s
1014/0.75=s is the same as 1014/s=0.75
i really need help i have till 11:00
Answers
The expression that represents the combined inventory of these two stores is given as follows:
A. 7g²/2 - 4g/5 + 15/4.
How to obtain the combined inventory?The combined inventory is obtained adding the inventories for each store, combining the like terms.
The addition of the like terms for g² is given as follows:
1/2 + 3 = 0.5 + 3 = 3.5 = 7/2g².
The term with g is given as follows:
-4g/5.
The constant like terms are combined as follows:
7/2 + 1/4 = 14/4 + 1/4 = 15/4.
Hence the simplified expression is given as follows:
7g²/2 - 4g/5 + 15/4.
Meaning that the correct option is given by option A.
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What is the image point of (-7,-8)after the transformation D1/2oT-1,0?
Answers
The image point of (-7,-8) after the transformation D1/2oT-1,0 is (-4,4).
First, we apply the translation T-1,0, which moves every point 1 unit to the right (since the x-coordinate is decreased by 1) and leaves the y-coordinate unchanged. Therefore, the image of (-7,-8) under T-1,0 is (-7-1,-8) = (-8,-8).
Next, we apply the dilation D1/2, which scales every distance from the origin by a factor of 1/2. Therefore, the image of (-8,-8) under D1/2 is (-8/2,-8/2) = (-4,-4).
Thus, the image point of (-7,-8) after the transformation D1/2oT-1,0 is (-4,4).
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A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a
rate of 16-3/4 liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of
19-4/5 liters per minute.
(a) What expression represents the change in volume of solution in the tank in 1 minute?
(b) What is the change in volume of the solution after 15 seconds?
(c) What does the change in volume after 15 seconds mean in the real world?
Answers
Rate of change is the change in a quantity with regards to another quantity
(a) The change in the solution in the tank after 1 minute is \(\underline{-3\frac{7}{15} \ L}\)
(b) The change in the volume after 15 seconds is \(\underline{-\dfrac{13}{15} \ L}\)
(c) The solution in the tank decreases by \(-\dfrac{13}{15} \ L\) in 15 seconds
Reason:
The given parameters of the solution in the tank are;
The rate at which the solution enters the tank, V = \(16\frac{3}{4}\) liters per minute
The rate at which the solution leaves the tank = \(19\frac{4}{5}\) liters per minute
(a) The expression that represents the change in volume in the tank is given as follows;
\(16\frac{3}{4} \ L - 19\frac{4}{5} \ L = -3\frac{7}{15} \ L\)\(-3\frac{7}{15} \ L\)
The change in the volume of solution in the tank after 1 minute is \(-3\frac{7}{15} \ L\)
(b) 15 seconds = 0.25 × 1 minute
Therefore, the change in the volume after 15 seconds is \(-3\frac{7}{15} \ L \times 0.25 = -\dfrac{13}{15} \ L\)
(c) The change in the volume of solution in the tank after 15 seconds is a decrease in the volume of solution in the tank by \(-\dfrac{13}{15} \ L\)
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Least common factor multiple of 15 and 6 ? Pls need ASAP
Answers
Answer: 30
Step-by-step explanation: 15x2=30 6x5=30 so: the least common multiple is:30
know the meaning of least multiple
Which of the following sets represents continuous data?
A. {1, 2, 3, ...)
B. (4,7)
C. {5, 13, 16, 20, 30)
D. {..., -9, -6, -3}
Answers
Answer:
option A is your answer okk
let v be a vector space. we know that v must contain a zero vector, 0v. (a) show that the zero vector is unique.
Answers
The given statement " let v be a vector space. we know that v must contain a zero vector, 0v and the zero vector is unique." is true and proved as an element in vector satisfies the define of zero vector i.e.,
0v + u = u.
To show that the zero vector is unique, we need to prove that there can be only one element in the vector space that satisfies the definition of a zero vector, namely:
For any vector u in v, 0v + u = u + 0v = u.
To do this, suppose that there exist two distinct zero vectors, 0v and 0'v, such that 0v ≠ 0'v. Then, by the definition of a zero vector, we have:
0v + 0'v = 0'v + 0v = 0'v.
But, by the associative property of vector addition, we can also write:
0v + 0'v = (0v + u) + (-u + 0'v) = u + (-u) = 0v.
Similarly, we can write:
0'v + 0v = (0'v + u) + (-u + 0v) = u + (-u) = 0'v.
These equations show that 0v = 0'v, which contradicts our assumption that 0v ≠ 0'v. Therefore, the zero vector is unique, and there can be only one element in the vector space that satisfies the definition of a zero vector.
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What is the equation of a line that is perpendicular to y = 3x-2 and passesthrough the point (6,8)?O A. y 3x+4O B. y=-3x+10O c. y - x + 6OD - x+8y =+8
Answers
SOLUTION
For two lines to be perpendicular, the product of their slope must be equal to -1.
That is
\(\begin{gathered} m1\times m2=-1 \\ \text{Where m1 and m2 are the slopes of the lines } \end{gathered}\)Equation of a line in slope-intercept form is given as
\(\begin{gathered} y=mx+b \\ \text{where m is slope } \end{gathered}\)Comparing this to
\(\begin{gathered} y=3x-2 \\ \text{the slope m1 = 3} \end{gathered}\)Now, let's find the slope of the other line m2.
\(\begin{gathered} m1\times m2=-1 \\ 3\times m2=-1 \\ m2=\frac{-1}{3} \end{gathered}\)Now, equation of a line in point-slope form is
\(y-y_1=m(x-x_1)\)Relating this to this second slope we have
\(y-y_1=m2(x-x_1)\)The equation becomes
\(\begin{gathered} y-y_1=m2(x-x_1) \\ y-y_1=\frac{-1}{3}(x-x_1) \\ \text{from the point }\mleft(6,8\mright) \\ x_1=6,y_1=8 \\ \text{Hence } \\ y-y_1=\frac{-1}{3}(x-x_1) \\ y-8_{}=\frac{-1}{3}(x-6_{}) \\ y-8_{}=\frac{-1}{3}x+\frac{6}{3}_{} \\ y-8=\frac{-1}{3}x+2 \\ y=\frac{-1}{3}x+2+8 \\ y=\frac{-1}{3}x+10 \\ y=-\frac{1}{3}x+10 \end{gathered}\)Hence, the answer is
\(y=-\frac{1}{3}x+10\)Option B
the item is $21 and has a 30% increase. what is the amount of increase
Answers
Answer:
21 multiplyed by .3%
Step-by-step explanation:
Please help me I don’t understand stand it
Answers
Regan swims for the Sharks swim team. Last season, the Sharks won 5 swim meets for every 3 they lost.
Pick the diagram that models the ratio in the story.
If the Sharks had 16 swim meets in all, how many did they win?
Answers
If the Sharks had 16 swim meets in all, they won 10 swims.
Given,
Regan swims for the Sharks swim team. Last season, the Sharks won 5 swim meets for every 3 they lost.
We need to find out if the Sharks had 16 swim meets in all, and how many did they win.
How to compare two units?Example:
2 cups = 4 eggs
To find for 4 cups.
We need to multiply 2 so that 2 cups becomes 4 cups.
4 cups = 2 x 4 eggs = 8 eggs
We have,
5 sims own for every 3 swims lost.
We can write it as:
5 own = 3 lost
Multiply 2 on both sides
2 x 5 own = 2 x 3 lost
10 own = 6 lost
We have,
16 swims in total.
It can be written as,
10 own = 6 lost
And we see that,
10 + 6 = 16 swims
Thus,
If the Sharks had 16 swim meets in all, they won 10 swims.
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Consider harmonic oscillators with mass m, spring constant k, and damping coefficient b. For the values specified,
a. write the second-order differential equation and the corresponding first-order system.
b. find the eigenvalues and eigenvectors of the linear system.
c. classify the oscillator (as underdamped, overdamped, critically damped, or undamped) and, when appropriate, give the natural period.
d. sketch the phase portrait of the associated linear system and include the solution curve for the given initial condition.
Answers
Answer:
a) attached below
b) Eigen values : λ1 = -1 and λ2 = - 1/2
Eigenvector : V1 = - y1 and V2 = ( - 1/2 ) y2
c) since the Oscillator is > 0 hence it is Overdamped
Step-by-step explanation:
Lets take : m = 2 , k = 1 and b = 3
a) Second -order differential equation and the first order system
attached below
b) determine the eigenvalues and eigenvectors of the Linear system
Eigen values : λ1 = -1 and λ2 = - 1/2
Eigenvector : V1 = - y1 and V2 = ( - 1/2 ) y2
attached below is the detailed solution
c) The oscillator is classified as OVERDAMPED
To determine if the oscillator is damped, underdamped, or overdamped we will apply the relation below
b^2 - 4km
( 3 )^2 - 4(1)(2) = 1
since the Oscillator is > 0 hence it is Overdamped
d) Attached below is the phase portrait of the associated linear system
y(0) = 0
v(0) = 0
A quality control manager at an auto plant measures the paint thickness on newly painted cars. A certain part that they paint has a mean thickness of 2mm with a standard deviation of 0.8mm.
The manager takes a daily random sample of thickness measurements from 100 randomly chosen points on these parts and calculates the sample mean thickness
-x from each sample. We can assume that the points in each sample are independent.
What will be the shape of the sampling distribution of -x?
Answers
Answer:
Approximately Normal
Step-by-step explanation:
Even though we don't know the shape of the population distribution of thicknesses, the sampling distribution of -x will be approximately normal since the sample size is large (n=100≥30).
Help ASAP I’m being timed on this
Answers
8x8=64 and 64x8=512
suface area of cuboid 9 5 4
Answers
The cuboid in question has a surface area of 202 square units.
We must sum together the areas of all six faces to determine a cuboid's surface area.
The dimensions of the given cuboid are:
length (l) = 9 units
width (w) = 5 units
height (h) = 4 units
The area of each face is given by:
Top and bottom faces:\(lw = 9 * 5 = 45\) square units each
Front and back faces: \(lh = 9 *4 = 36\) square units each
Left and right faces: \(wh = 5 * 4 = 20\) square units each
Therefore, the total surface area of the cuboid is:
\(2(lw + lh + wh) = 2(45 + 36 + 20)\\ = 2(101) \\= 202 \ square \ units\)
Hence, the surface area of the given cuboid is 202 square units.
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c bottom left
ybkyktfvtfjrddkud
Answers
Answer:
hdisiejehe
Step-by-step explanation:
step sister
What is the value of x in this proportion?
56=−4x+2
Responses
x=−2 4/5
x equals negative 2 and 4 over 5
x=−4 2/5
x equals negative 4 and 2 over 5
x=−5 1/5
x equals negative 5 and 1 over 5
x=−6 4/5
x equals negative 6 and 4 over 5
Answers
The value of x or the expression 56 = -4x + 2 is -27/2.
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,
56 = -4x + 2
Solve for x.
56 = -4x + 2
Subtract 2 on both sides.
56 - 2 = -4x
54 = -4x
Divide -4 into both sides.
-54/4 = x
x = -54/4
x = -27/2
x = -13(1/2)
Thus,
The value of x is -27/2.
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A company bought a photocopier for R150 00 on 1 july 2022,they will use the old photocopier as a trader in when they replace it with the a similar new photocopier in 5 years time on 2027.
calculate the trade in value of the old photocopier after 5 years,if it depreciates at a rate of 9% p.a on straight line method.
Answers
Answer:
do it yourself what do you do while teacher is teaching
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answers
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
I need help plz due in 20 min
Answers
Answer:
No, because 2(3x-5)=6x-10, and 6x-10 is not equal to 6x-8
Step-by-step explanation:
Please help
D.
Figure A was translated 1.5 inches right to create Figure B.
E.
Figure A was rotated
90
°
about a point in the middle of the figures to create Figure B.
Answers
Answer:
B
Step-by-step explanation:
Process of elimination, it wasn't reflected because point a and point E are on opposite sides in figure B compared to figure A. It wasn't rotated 90° Because point H is once again on the complete opposite side, if it was 90° it would be to the left or the right, not opposite. It wasn't translated Because all points are in different places.
carey correctly graphs a liner function. the slope of the function is -1. the y-intercept is 3. which is careys graph
Answers
Carey's graph will be a straight line with a slope of -1 and a y-intercept of 3.
Carey correctly graphs a linear function with a slope of -1 and a y-intercept of 3. A linear function is represented by the equation y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1 unit. The y-intercept is 3, indicating that the graph intersects the y-axis at the point (0, 3).
To plot the graph, Carey starts by marking the point (0, 3) on the graph. Then, for every unit increase in the x-coordinate, Carey moves one unit downward. Similarly, for every unit decrease in the x-coordinate, Carey moves one unit upward. These steps ensure the correct slope of -1.
After connecting the points, Carey will obtain a line that starts at the y-intercept (0, 3) and slants downward, with a slope of -1. The resulting graph will be a straight line extending to both sides of the coordinate plane.
In conclusion, it is represented by the equation y = -x + 3.
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A 1000 L tank now contains 240 L of water. How long will it take to fill the tank using a pump that pumps 25 L per minute
Answers
Answer:
30.4 minutes
Step-by-step explanation:
The tank already has 240L in it, so we need to fill 1000 - 240 = 760L of water.
Since the pump pumps 25L per minute, we can find how many minutes it takes to pump 760L.
760 / 25 = 30.4 minutes.
It will take 30.4 minutes to fill the tank completely.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, The 1000 L tank contains 240 L of water, therefore, the free space in the tank is :
1000-240
= 760 L
The pump fills the tank at a rate of 25 L per minute.
Therefore, it can be represented as:
25 L = 1 minute
1 L = (1/25) minutes
760 L = (1/25)×760 minutes
760 L = 30.4 minutes.
Hence, it will take 30.4 minutes to fill the tank completely.
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Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
Answers
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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a student provided the following solution an equation.what mistake did the student make?
Answers
Answer:
Where are the students answers.
Step-by-step explanation: