Answer:
complementary angles, x=19
Step-by-step explanation:
since the two parts of the angle add up to 90, they are complementary angles.
you can find x by adding them and setting it equal to 90:
3x-2+2x-3 = 90
5x-5 = 90
5x = 95
x = 19
Los puntos A(13, a) y B (4,b) pertenecen a una parábola de vértice V (h, 1) Además el eje focal es paralelo al eje de las abscisas ,su parámetro es p y A, B están
contenidos en la recta 2x - y - 13 = 0. Hallar a" + bP.
The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.
How to calculate parameters?Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:
(x - h)² = 4p(y - 1)
The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:
√((13 - h)² + (a - 1)²) = p
Similarly, write an equation for the distance between the vertex and point B:
√((4 - h)² + (b - 1)²) = p
A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:
2(13) - a - 13 = 0
2(4) - b - 13 = 0
Solving these equations gives us a = 3 and b = -5.
Now three equations and three unknowns (a, b, and h):
√((13 - h)² + 4) = p + 1
√((4 - h)² + 36) = p + 1
2h - 3 - 13 = 0
The third equation simplifies to 2h = 16, or h = 8.
Substituting this value of h into the first two equations and squaring both sides:
(13 - 8)² + 4 = (p + 1)²
(4 - 8)² + 36 = (p + 1)²
Simplifying these equations and solving for p gives us p = 3.
Finally, find a" + bP by substituting the values found for a, b, and p:
a" + bP = 3 + (-5)(3) = -12
Therefore, the solution is a" + bP = -12.
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(3-5i)-(1+3i) simplify
1. Draw an equilateral triangle whose each side is 4.5 cm
Answer is on the picture
Answer:
Step-by-step explanation:
How is the circumference of a circle related to its diameter
If Jessica has money into savings accounts worry is 5% in the other is 10% if she has $950 more in the 10% account and the total interest is 281 how much invested is in each savings account
Answer:
5% account = $1,240
10% account = $2,190
Step-by-step explanation:
Let's assume the amount of savings in the 5% account is x.
Thus the amount of savings in the 10% account is (x + $950).
We can write the following equation from the interest amount:
[5% x ] + [10% (x + $950)] = $281
5%x + 10%x + $95 = S281
15%x = $186
x = $1,240
There is $1,240 in the 5% account
Therefore, on the 10% account there is $1,240 + $950 = $2,190
A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and their plan of going to graduate school. Compute the row percentages.
A. Yes = 35% and No = 65% Business = 25%, Engineering = 30%, and Others = 45%
B. Yes = 48% and No = 52% Business = 31.5%, Engineering = 36.5%, and Others = 32%
Incomplete question. Attached is an image of the table.
Step-by-step explanation:
A.
Yes = 35% = \(\frac{280}{800} * 100 =\) 35%. and No = 65% = \(\frac{520}{800} * 100 =\) 65%
Business = 25% = \(\frac{70}{280} * 100 =\) 25%.Engineering = 30% = \(\frac{84}{280} * 100 =\) 30%. and Others = 45% = \(\frac{126}{280} * 100 =\) 45%.
raise t to the 10th power then add the result to 3
The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3
How to write algebraic expressions?
An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.
Given: raise t to the 10th power then add the result to 3
Note: t is the variable here
Let's write algebraic expression now:
raise t to the 10th power => t¹⁰
then add the result to 3 => t¹⁰ + 3
Therefore, the algebraic expression is t¹⁰ + 3
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what is dynamic environment?
Answer:
A dynamic environment is a business environment that is rapidly changing. In a dynamic market, businesses have to adapt quickly to changes and develop new ideas, products and services to keep up with technology and new trends.
Step-by-step explanation:
PLEASE HELP ME
Are the linear expressions equivalent? Drag the choices to the boxes to correctly complete the table. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response.
3x - 2 (2.3x + 2.5) = -1.6x -5
5 - 3 (-1.6x - 2.1) = 4.8x - 1.3
3x - 2 (2.3x + 2.5) = -1.6x-5 are equivalent expressions while 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3 are not equivalent expressions
How to determine if the linear expressions are equivalent?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s)
Given: 3x - 2 (2.3x + 2.5) = -1.6x -5 and 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3
For 3x - 2 (2.3x + 2.5):
First, clear the parenthesis by using -2 to multiply what's in the parenthesis. Then add/subtract like terms:
3x - 2 (2.3x + 2.5) = 3x-4.6x- 5 = -1.6x-5
For 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3:
First, clear the parenthesis by using -3 to multiply what's in the parenthesis. Then add/subtract like terms:
5 - 3 (-1.6x - 2.1) = 5 + 4.8x + 6.3 = 4.8x + 11.3
Since 3x - 2 (2.3x + 2.5) is equal to -1.6x-5 and 5 - 3 (-1.6x - 2.1) is not equal to 4.8x - 1.3.
Therefore, 3x - 2 (2.3x + 2.5) = -1.6x-5 are equivalent expressions and 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3 are not equivalent expressions
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Why do we need to lean stuff that we dont need in the real world???
Answer:
Teachers are idiots that's why :)
Answer:
The Answer to that is pretty simple..
Step-by-step explanation:
We learn stuff that we typically don't need in the real world you would think but when it comes to getting a job thats were that information comes in. Like Science about fossils - You might work at a museum?
But some of this stuff is not really needed so I get your point.
Solve each of the following equations and show how you checked your answers 2y+4y=6-3y
Answer:
y=2/3
Step-by-step explanation:
2y+4y=6-3y
⇔ 2y+4y+3y=6
⇔ 9y=6
⇔ y=6/9=2/3
The answer is:
y = 2/3
Work/explanation:
For now, I focus on the left side and combine the like terms:
\(\bf{2y+4y=6-3y}\)
\(\bf{6y=6-3y}\)
Add 3y to each side
\(\bf{6y+3y=6}\)
Combine like terms
\(\bf{9y=6}\)
Divide each side by 9
\(\bf{y=\dfrac{6}{9}}\)
\(\bf{y=\dfrac{2}{3}}\)
Hence, the answer is 2/3.
Find the AQR Ten for the following list of numbers: 1, 2, 4, 3, 3, 8, 5, 6
The calculated IQR of the list of numbers is 3
How to calculate the IQR of the list of numbersFrom the question, we have the following parameters that can be used in our computation:
1, 2, 4, 3, 3, 8, 5, 6
Sort the above number in ascending order
So, we have
1, 2, 3, 3, 4, 5, 6, 8
Split the above numbers to 2
So, we have
1, 2, 3, 3
4, 5, 6, 8
In the above, we have
Q1 = (2 + 3)/2 = 2.5
Q3 = (5 + 6)/2 = 5.5
using the above as a guide, we have the following:
IQR = 5.5 - 2.5
Evaluate
IQR = 3
Hence, the IQR of the list of numbers is 3
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please help me solve this 9(p-4)=3(2p+6)
Answer:
Here is the solution
Step-by-step explanation:
9(p-4)=3(2p+6)
9p-36=6p+18
9p-6p-36=18
9p-6p=18+36
3p=54
p=54÷3
p=18
State the requirements to perform a goodness of Fit test. Choose the correct answer below:
A. at least 80% of expected frequencies > 5
B. all expected frequencies > 5
C. at least 90% of expected frequencies > 5
D. at least 90% of expected frequencies >10 a
E. t least 80% of expected frequencies > 10
F. all expected frequencies > 1
Answer:
B. all expected frequencies > 5
Step-by-step explanation:
The expected number np(i) in any of the classes or cells should not be less than 5. So when the expected number np(i) in any class is less than 5 , we may combine this class with one or more other classes to meet this requirement.
It is clear that chi square will be small when all ni are close to their expected values npi. The chi square will become larger when the difference becomes larger. The chi square thus measures the amount of deviation ( or agreement ) between the observed and expected results.
Thus it is a good approximation if all the expected values npi are sufficiently large and hence chi square distribution confirms with the ( k-1) degrees of freedom.
If a cup of coffee has temperature 97°C in a room where the ambient air temperature is 25°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T ( t ) = 25 + 72 e − t / 45 . What is the average temperature of the coffee during the first 22 minutes?
Answer:
The average temperature is \(T_{a} = 81.95^oC\)
Step-by-step explanation:
From the question we are told that
The temperature of the coffee after time t is \(T(t) = 25 + 72 e^{[-\frac{t}{45} ]}\)
Now the average temperature during the first 22 minutes i.e fro \(0 \to 22\)minutes is mathematically evaluated as
\(T_{a} = \frac{1}{22-0} \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx\)
\(T_{a} = \frac{1}{22} [25 t + 72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.\)
\(T_{a} = \frac{1}{22} [25 t - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.\)
\(T_{a} = \frac{1}{22} [25 (22) - 3240e^{[-\frac{22}{45} ]} - (- 3240e^{0} )]\)
\(T_{a} = \frac{1}{22} [550 - 1987.12 + 3240]\)
\(T_{a} = 81.95^oC\)
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
The correct representations of the inequality are -6x + 15 < 10 - 5x and x <-5. Options C and D
What are inequalities?Inequalities are described as mathematical relations that makes a non-equal comparison between two elements, variables, numbers or mathematical expressions.
They are often used to compare two numbers on the number line based their sizes.
From the information given, we have the inequality;
–3(2x – 5) < 5(2 – x)
expand the bracket
-6x + 15 < 10 - 5x
collect like terms
-6x + 5x < 10 - 15
add or subtract the like terms
-x < -5
Make 'x' the subject of formula
x < 5
Hence, the value is -6x + 15 < 10 - 5x
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The complete question:
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint. Elena has 2/3 cup of white paint. How much purple paint can she make?
Elena can make 20/3 cups of purple paint
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
WE are given that Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint.
Since Elena has 2/3 cup of white paint. then;
1 1/2 cups of red paint (1 1/2=1.5)
1/2 cup of white paint (1/2=0.5)
Then the ratio is 3:1.5:0.5
Means every 0.5 cups of white paint Elena makes 5 cups of purple paint (3+1.5+0.5)
Let x the number of cups of purple paint
5/ 0.5 = x / (2/5)
x = 20/3 cups of purple paint
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15 POINTS
Using Pythagoras' theorem, calculate the length
of XY.
Give your answer in centimetres (cm) to 1 d.p.
Answer:
13.27 cm
Step-by-step explanation:
I am using (xy) to mean the length of the side xy
7^2 + (xy)^2 = 15^2
49 + (xy)^2 = 225
(xy)^2 = 225-49
(xy)^2 = 176
Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm
Answer the question below. Type your response in the space provided. What is the value of arctan (-√3/3) in degrees? (Omit the degree sign from your response.)
The value of arctan (-√3/3) in degrees is 150
How to determine the value of arctan (-√3/3) in degrees?From the question, we have the following parameters that can be used in our computation:
the value of arctan (-√3/3) in degrees
This means that
x = arctan (-√3/3)
When evaluated, we have
x = -30
So, the angle is
Angle = 180 - 30
Evaluate
Angle = 150
Hence, the measure of the angle is 150 degrees
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The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.
i. The position vector of X is 2b - a.
ii. The position vector of Y is (3b + c)/4.
iii. The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.
i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.
ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.
iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).
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I need to know the explanation will mark Brainliest
Answer:
the value of x is 23
Step-by-step explanation:
plz mark brainly
For triangle XYZ, mzX= (6g+14) and the exterior angle to LX measures (5g +45). Find the measure of ZX and its exterior angle.
O Interior angle = 100 ⁰ exterior angle = 80°
O Interior angle = 80 ⁰ exterior angle = 100⁰
O Interior angle = 92 ⁰ exterior angle = 88°
O Interior angle = 88 ⁰ exterior angle = 92⁰
The value of angle X and it's exterior angle is 80° and 100° respectively.(optionB)
What is exterior angle theorem of a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles of the triangle.
In Triangle XYZ, angle X is (6g+14) , therefore the sum of the remaining two angles of the triangle will be 180-(6g+14). The exterior angle of X is (5g+45).
Therefore from the theorem, (5g+45)= 180-(6g+14)
opening the parentheses,
5g+5= 180-6g-14
collecting like terms
5g+6g= 180-14-5
11g= 121
g= 11
therefore angle X = 6g+14= 6×11+14=80°
exterior angle = 5g+45= 5×11+45= 100°
Therefore the value of angle X and it's exterior angle is 80° and 100° respectively.
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Question 8 of 20 :
Select the best answer for the question,
2. Between what two numbers would 17 be placed on a number linel
A 15 and 16
B. 16 and 17
O C. 17 and 18
OD 16 and 12
Mark for review Will be highlighted on the renew page)
Prebous Question
Hen Guestion
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Answer:
it would be none of the above
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
the number that 17 would be in between would be 16 and 18
k) v=u+ax make x the subject
Answer:
x = (v - u) / a
Step-by-step explanation:
v = u + ax.
subtract u from both sides:
v - u = ax.
divide both sides by a:
(v - u) / a = x.
so x = (v - u) / a.
this can also be written v/a - u/a
help pls i need this as one and will give 20 points
delta math question
what are the coordinates
DUE TODAY PLS I JUST NEED HELP
Answer:
(a)
smaller value = 125 ft
larger value = 250 ft
(b)
31250 ft²
Step-by-step explanation:
(a)
In total, the farmer used 875ft worth of fencing.
In terms of x, the total fencing used is: 2x + x + x + x + 2x = 7x
This means 7x=875ft. Dividing both sides by 7, we find x=125ft
The dimensions of the rectangular enclosure in terms of x are "x and 2x". Subbing in 125ft for x, these dimensions become "125ft and 2(125ft)" or "125ft and 250ft".
(b)
Since we know the enclosure is 125ft long and 250ft wide, and since the area of a rectangle is its length times its width, the are of the enclosure is:
125ft * 250ft = 31250 ft²
Answer:
(a)
smaller value =125 ft
larger value = 250 ft
(b)
31250 ft?
Algebra
Help me with this question
Answer:
SORRY I CAN NOT HELP YOU
a) Twice the difference of a number c and forty.b) Four times the sum of a number f and fifty.
a) We have a number X that is twice the difference of a number c and 40.
We can write this as:
\(X=2(c-40)\)b) Four times the sum of a number f and fifty.
Then, X is:
\(X=4(f+50)\)I need help really bad
Answer:
i would chose thw last one
Step-by-step explanation:
the last one but its youe choice
Answer:
The Awnser is B.
Step-by-step explanation:
First to answer correctly gets brainliest