Answer:
C -3/5
Step-by-step explanation:
3 / -5
It doesn't matter where the negative sign goes
-3/5 or
- 3/5
We have one negative sign
Answer:
C. -3/5
Step-by-step explanation:
Find the size of the final unknown exterior angle in a polygon whose other exterior angles are:
63', 64°, 82°, 49° and 58°
Answer: 44°
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360°
If your polygon has six sides, the final angle will be:
= 360 - (63 + 64 + 82 + 49 + 58)
= 360 - 316
= 44°
AX and EX are secant segments that intersect at point X. What is the length of DE?
Answer: 3 units
Step-by-step explanation:
If the measure of angle 3 is equal to (2x + 6) and x = 7, which statements are true?
Check all that apply .
Answer:The measure of angle 6 is 20. The measure of angle 5 is 70. Angles 2 and 5 are complementary. Angles 1 and 4 are supplementary.
Step-by-step explanation:
On a coordinate plane, triangle R S T has points (negative 3, 2), (3, 2), and (negative 1, 1). An altitude is drawn from point T to point U at (negative 1, 2).
What is the area of triangle RST?
6 square units
9 square units
12 square units
18 square units
Answer:
The answer is
Step-by-step explanation:
B. 9 square units
The area of the triangle RST is 3 square units if the triangle RST has points (-3, 2), (3, 2), and (-1, 1). An altitude is drawn from point T to point U at (-1, 2).
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
Triangle RST has points (-3, 2), (3, 2), and (-1, 1).
We are assuming the coordinate for point R is (-3, 2)
S(3, 2)
T(-1, 1)
An altitude is drawn from point T to point U at (-1, 2).
From the distance formula, we can find the distance between R and S and distance between TU.
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
h = 1 units
b = 6 units
Area of triangle RST = (1/2)(6×1) = 3 square units
Thus, the area of the triangle RST is 3 square units if the triangle RST has points (-3, 2), (3, 2), and (-1, 1). An altitude is drawn from point T to point U at (-1, 2).
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ5
Work out the percentage change to 2 decimal places when a price of £99 is increased to £111.
Answer:
12.12%
Step-by-step explanation:
ORIGINAL VALUE=£99
NEW VALUE=£111
CHANGE IN AMOUNT=111-99=12
Here there is percentage increase.
Therefore, Percentage Increase
=(Change in amount/Original Value)*100=(12/99)*100=12.12%
2x − 5y = 16
3x + 2y = 5
can you also explain how you did it. Thanks :)
Answer:
x=3
y=-2
Step-by-step explanation:
2x - 5y = 16
3x + 2y = 5
Solve for x in the first equation.
2x - 5y = 16
2x = 16 + 5y
x = (16 + 5y)/2
x = 8 + 5/2y
Put x as 8 + 5/2y in the second equation and solve for y.
3(8+5/2y) + 2y = 5
24+15/2y + 2y = 5
24 + 19/2y = 5
19/2y = 5-24
19/2y = -19
y = -2
Put y as -2 in the first equation and solve for x.
2x - 5(-2) = 16
2x +10 = 16
2x = 16-10
2x = 6
x = 3
Answer:
Step-by-step explanation:
WILL MARK AS BRAINLIEST!! PLEASE HURRY!!! Solve for x: 1 over 4 (2x − 14) = 4. (1 point) 15 15 over 2 9 11
Answer:
Step-by-step explanation:
k den
Answer:
1 / 4 (2x − 14) = 4.
Multiply through by 4(2x - 14)
You'll get
1 = 16(2x - 14)
1 = 32x - 224
Group like terms
224 + 1 = 32x
225 = 32x
Divide both sides by 32
x = 225/ 32
Hope this helps
Find the difference.
(4x2 - 6x+8) - (3x2 - 6x + 2)
Answer:
x² + 6
Step-by-step explanation:
(4x² -6x + 8 )- ( 3x² -6x +2 )
4x² -6x +8 - 3x² + 6x -2
now group like terms
4x² -3x² -6x +6x +8-2
⇒ x² +6
Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100. Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5. Who performed better on the standardized exams and why? Reagan scored higher than Jessie. Reagan's score was 1140, which is greater than Jessie's score of 30. Reagan scored higher than Jessie. Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Jessie's standardized score of 2.6 standard deviations above the mean. Reagan scored higher than Jessie. Reagan's score was 140 points above the mean of 1000, and Jessie's was 13 points above the mean of 17. Jessie scored higher than Reagan. Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean. Jessie scored higher than Reagan. Jessie is only 6 points from the top score of 36 on the ACT, and Reagan is 460 points from the top score of 1600 on the SAT.
Answer:
Jessie scored higher than Reagan.
Step-by-step explanation:
We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.
Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5.
For finding who performed better on the standardized exams, we have to calculate the z-scores for both people.
1. Finding z-score for Reagan;
Let X = distribution of SAT scores
SO, X ~ Normal([tex]\mu=1000, \sigma^{2}=100^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 1000
[tex]\sigma[/tex] = standard deviation = 100
Now, Reagan scored 1140 on the SAT, that is;
z-score = [tex]\frac{1140-1000}{100}[/tex] = 1.4
2. Finding z-score for Jessie;
Let X = distribution of ACT scores
SO, X ~ Normal([tex]\mu=17, \sigma^{2}=5^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 17
[tex]\sigma[/tex] = standard deviation = 5
Now, Jessie scored 30 on the ACT, that is;
z-score = [tex]\frac{30-17}{5}[/tex] = 2.6
This means that Jessie scored higher than Reagan because Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean.
4.(06.02 MC)
Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4. (5 po
y = 3x + 7
y = 3x - 7
y =
x + 2
O y = fx-2
Answer:
y = 3x-7
Step-by-step explanation:
Lines that are parallel have the same slopes.
y = 3x-4 ---> y=mx+b (slope = m=3)
point-slope formula for a line: y - y1 = m(x-x1)
slope=m=3
(3,2)----> (x1,y1)
y - 2 = 3(x-3)
y - 2 = 3x-9
y = 3x-7
What is the first step in simplifying the solution: log2 ^32 = x
Rewrite the equation as 2^x = 32
Find the square root of 32
Rewrite the equation as 2^32 = x
Find 32^2
Answer:
x=5
Step-by-step explanation:
log2^32=x
log2^2^5=x
5 log 2^2=x
5(1)=x
x=5
I’m timed plz answer!!! Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0. x y squared StartRoot 8 x cubed EndRoot 2 x cubed y cubed StartRoot x y squared EndRoot 2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot 4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answer:
C
Step-by-step explanation:
bc i said so i think
Answer:
C
Step-by-step explanation:
C
A social scientist surveyed a random sample of male musicians at a university about their practice habits. The graph below displays the amount of time typically spent practicing their instrument daily.
Which of the following inferences can be made from the data?
Answer:
C
Step-by-step explanation:
male musicians practice an avg 2/hrs a day
The inferences can be made from the data on average, male musicians practice for two hours per day. Then the correct option is C.
What is a histogram?A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
A social scientist surveyed a random sample of male musicians at a university about their practice habits.
The graph below displays the amount of time typically spent practicing their instrument daily.
From the graph, we can conclude that on average, male musicians practice for two hours per day.
Then the correct option is C.
More about the histogram link is given below.
https://brainly.com/question/16819077
#SPJ2
13. Use the mapping shown above to show the value of the function ƒ(x) at each point.
Answer:
B
Step-by-step explanation:
Follow the arrow from the x- value in the domain to the corresponding value in the range, that is
x = - 1 → f(- 1) = 5
x = 0 → f(0) = 3
x = 1 → f(1) = 5
x = 2 → f(2) = 11
x = 3 → f(3) = 21
Thus B shows the appropriate mapping
The solution is Option B.
The function rule is given by
f ( -1 ) = 5
f ( 0 ) = 3
f ( 1 ) = 5
f ( 2 ) = 1
f ( 3 ) = 21
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of the function is
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output
The domain of a function is the set of values that we are allowed to plug into our function
And , The range is the set of outputs of a relation or function.
Substituting the values in the equation , we get
f ( -1 ) = 5 ; f ( 0 ) = 3 ; f ( 1 ) = 5 ; f ( 2 ) = 1 ; f ( 3 ) = 21
Hence , the function is solved
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ2
how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?
Answer:
See below.
Step-by-step explanation:
It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.
Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.
Proved!
Simplify. ( w^2/-3u^4)^2. Write your answer without parentheses.
Answer:
w^4 / (9u^8)
Step-by-step explanation:
( w^2/-3u^4)^2
We know that ( a/b) ^c = a^c / b^c
( w^2) ^2/ (-3u^4)^2
We know that a^b^c = a^(b*c)
w^(2*2)/ (-3u^4)^2
We know ( ab) ^c = a^c * b^c
w^4/ (( -3)^2 u^4^2)
w^4/(9 u^(4*2))
w^4 / (9u^8)
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65. For
one performance, 40 advance tickets and 20 same-day tickets were sold. The total amount paid for the tickets was $1900. What was the price of each kind of
ticket?
Answer:
advance tickets $30.00
same day tickets $35.00
Step-by-step explanation:
1. In this equation, you are trying to find two values so you must use system of equations. Your two equations would be:
40x +20y = 1900
x + y = 65
x represents the price of advance tickets and y represents the price of same day tickets.
2. Solve the equation by performing elimination using multiplication. Multiple one equation by a constant to get two equations that contain opposite terms.
40x + 20y = 1900
-40(x + y = 65) → -40x + -40y = -2600
3. Add the equations, eliminating one variable. (add -40x + -40y = -2600 to 40x + 20y = 1900)
40x + 20y = 1900
+ -40x + -40y = -2600
Results in: -20y = -700
Solve for y by dviding both sides by -20.
y = 35
4. Substitute the solved value into one of the equations and solve for the remaining variable.
x + 35 = 65
Subtract 35 from both sides to solve for x.
x = 30
The advance tickets were $30.00 and the same day tickets were $35.00.
solve the equation a-5/a=4
Answer:
B:5
Step-by-step explanation:
5 - 5/5= 5
5/5 = 1
5-1= 4
Answer:
D
Step-by-step explanation:
[tex]\frac{a^{2}}{a}-\frac{5}{a} = 4[/tex]
[tex]\frac{a^{2}-5}{a} = 4[/tex]
[tex]a^{2} -5 = 4a[/tex]
a= -1
1 - 5 = 4.-1
a = 5
25 - 5 = 4.5
Hope this helps ^-^
which expression is equivalent to -12 (3 x - 3/4)? HELP!!!!! ASAP!! 12 POINTS OR MORE!!!!!!! FIRST CORRECT GETS BRAINLIEST!!!!! see answer choices below
Answer:
-36x +9
Step-by-step explanation:
-12 (3 x - 3/4)
Distribute
-12 *3x -12 * -3/4
-36x +36/4
-36x +9
Answer:
-36x+ 9
Step-by-step explanation:
please choose me mine is correct you just multiply them
Factor the quadratic expression: x^2 + 25
Which of the following pairs of functions are inverses of each other? A)f(x)=2x-9 and g(x)=(x+9)/(2) B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2) C)f(x)=(x)/(3)+4 and g(x)=3x-4 D)(x)=5+\root(3)(x) and g(x)=5-x^(3)
Answer:
A)f(x)=2x-9 and g(x)=(x+9)/(2)
Step-by-step explanation:
f(g(x)) =x for inverses
A)f(x)=2x-9 and g(x)=(x+9)/(2)
2(x+9)/2) -9 = Canceling the 2 x+9 -9 = x inverse
B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2)
2/(x+6)/2 ) -6 =4/(x+6) - 6 This will not give me x
C)f(x)=(x)/(3)+4 and g(x)=3x-4
(3x+4)/3 -4 = x + 4/3 -4 This will not give me x
D)(x)=5+\root(3)(x) and g(x)=5-x^(3)
5 + cuberoot ( 5-x^3) This will not give me x back
Answer:
2x-9 is the inverse of x+9/2
Step-by-step explanation:
con
Simplify: -165 - 1703
Answer:
[tex]-1868[/tex]
Step-by-step explanation:
[tex]-165 - 1703[/tex]
Subtract the numbers.
[tex]=-1868[/tex]
Answer:
-1868 is the simplified polynomial
Step-by-step explanation:
-165 -1703
= -165 + -1703
= -(165+1703)
= -(1868)
4.3cm round to 3 decimal places?
Answer:
0.4
Step-by-step explanation:
Penny earns $580 more than half of Karen´s salary. If p represents Penny´s salary, write an expression that represents the amount of money Karen earns in relation to Penny.
Answer:
[tex]\frac{p}{2} + $580[/tex]
Step-by-step explanation:
p = Penny's salary
Karen's salary = $580 more than half of p
We can use the fraction [tex]\frac{p}{2}[/tex] to represent half of p.
Since Karen's salary is $580 more, her salary is $580 + [tex]\frac{p}{2}[/tex] .
Answer:
heyyyy
Step-by-step explanation:
SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
Answer It is the first option because it has reflectional symmetry vertically and horizontally, therefore creating 4 lines of symmetry. If that's wrong, then it's "c."
Step-by-step explanation:
because it has reflectional symmetry vertically and horizontally, therefore creating 4 lines of symmetry. If that's wrong, then it's "c."
decompose 6x/(x-4)(x+2) into partial fractions
Answer:
We can write the equation
Step-by-step explanation:
(x+4)
2
3x+15
=
(x+4)
2
3(x+4)+3
(x+4)
2
3(x+4)+3
=
(x+4)
3
+
(x+4)
2
3
So, there are total 2 terms.
Partial fraction decomposition of 6x/(x-4)(x+2) is 4/(x-4) + 2/(x+2)
What is partial fraction decomposition?In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction is an operation that consists of expressing the fraction as a sum of a polynomial and one or several fractions with a simpler denominator.
Given, expression
6x/(x-4)(x+2)
Creating fraction template using denominator (x-4)(x+2) :
6x/(x-4)(x+2) = A/(x-4) + B/(x+2) ------(1)
Multiplying with (x-4)(x+2) on both sides
6x(x-4)(x+2)/(x-4)(x+2) = A(x-4)(x+2)/(x-4) + B(x-4)(x+2)/(x+2)
6x = A(x+2) + B(x-4)
Roots of the denominator are x = 4, -2
Putting x = 4,
6(4) = A (4+2) + B (4 - 4)
24 = 6A
A = 4
Putting x = -2
6(-2) = A (-2+2) + B (-2 - 4)
-12 = -6B
B = 2
Substituting value of A and B in equation 1
6x/(x-4)(x+2) = 4/(x-4) + 2/(x+2)
Hence,
4/(x-4) + 2/(x+2)
is the partial fraction decomposition of 6x/(x-4)(x+2).
Learn more about partial fraction decomposition here:
https://brainly.com/question/29177355
#SPJ2
Which elements in the same below are integers? -3,3.7,9,-7.34,2.83,5,56/7,-1
Answer:
Integers -3, 9, 5, 56/7, -1
Step-by-step explanation:
Integers are whole numbers that can be positive or negative. They do not have decimals.
Given that ABCD is a rhombus, what is the value of x?
Answer:
B
Step-by-step explanation:
A rhombus is divided into four congruent triangles. The two given angles are complementary, meaning they add up to 90 degrees. Set up an equation:
[tex](4x-25)+x=90[/tex]
[tex]4x-25+x=90[/tex] Take out the parentheses
[tex]5x-25=90[/tex] Combine like terms
[tex]5x=115[/tex] Add 25 to both sides so as to isolate the variable
[tex]x=23[/tex] Divide both sides by 5
Answer:
the answer is b or 23
Step-by-step explanation:
Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft
Answer: 40.9
Step-by-step explanation:
What is the measure of Zx?
Angles are not necessarily drawn to scale.
P
R
36
29
S
2=
Answer:
x=54 degrees
Step-by-step explanation:
These two angles are complementary, meaning that they add to 90 degrees.
If one angle is 36 degrees, then we can write this equation: 36+x=90
We want to find what x is, so we should isolate x.
We can isolate x by subtracting 36 on both sides.
x=90-36
x=54
Answer:
54°
Step-by-step explanation:
∠PQR +∠RQS =∠PQS
36° + x° = 90°
x = 90 - 36 = 54°