0.6 is a decimal and it can be converted to fraction by moving the dot to the right sides and dividing by the number of zero that existed by the dot movement to the right.
[tex]\begin{gathered} 0.6=\frac{6}{10}=\frac{3}{5} \\ \end{gathered}[/tex]Perform the indicated operation.Subtract (4x^2-5) from the sum of (x^2 - 5x + 1) and (3x^2 – 3x+4)The answer is
We have the sum of
[tex]\mleft(x^2-5x+1\mright)+(3x^2-3x+4)[/tex]we sum similar terms
[tex]4x^2-8x+5[/tex]then we subtract (4x^2-5) from the result of the sum above
[tex](4x^2-8x+5)-\mleft(4x^2-5\mright)=4x^2-8x+5-4x^2+10[/tex]then we sum similar terms, and we find the answer
[tex]-8x+10[/tex]Using the prototype oblique triangle shown below and the information given, find the measure of the remaining sides and angles in the triangle.
find:
beta:
a:
b:
Using the law of sines, the remaining angles and sides of the triangle are given as follows:
[tex]\beta = 20^\circ[/tex]a = 8.2.b = 6.What is the law of sines?Suppose we have a triangle in which:
Side with a length of a is opposite to angle A.Side with a length of b is opposite to angle B.Side with a length of c is opposite to angle C.The lengths and the sine of the angles are related according to the equation presented as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
The remaining angle measure is given as follows:
[tex]\beta = 180 - (132 + 28) = 20^\circ[/tex]
(this is because the sum of the internal angles of a triangle is of 20º).
Then side a is calculated from the law of sines as follows:
sin(28º)/a = sin(132º)/13
a = 13sin(28º)/sin(132º)
a = 8.2.
Side b is also calculated from the law of sines, as follows:
sin(20º)/b = sin(132º)/13
b = 13sin(20º)/sin(132º)
b = 6.
A similar problem, also about the law of sines, is given at https://brainly.com/question/4372174
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An inverse variation includes the points (-4, 3) and (-1, n). Find n.
In a inverse variation you have two variables, in this case (x,y) x and y, and a constant value k in the form:
[tex]y=\frac{k}{x}[/tex]When x increase y decreases and when x decreases y increases (inverse variation)
As you have two (x,y) data;
(-4, 3 ) and (-1 , n)
And both have the same constant k.
[tex]\begin{gathered} 3=\frac{k}{-4} \\ \\ n=\frac{k}{-1} \end{gathered}[/tex]Solve in the first equation the k:
[tex]\begin{gathered} k=-4\cdot3 \\ k=-12 \end{gathered}[/tex]Use the value of k= -12 to find n in the second equation:
[tex]n=\frac{-12}{-1}=12[/tex]Then , the value of n is 12Choose the answer that represents the product below as an exponentialexpression(8.2). (8.2). (8.2)A. 3.8.2B. 8.2^4C. 3^8.2D. 8.2^3
We have
[tex]\mleft(8.2)\cdot(\mright?8.2)\cdot(8.2)[/tex]the base is 8.2 and the exponent is the number of times the number repeated in this case it is 3 therefore the answer is
[tex]8.2^3[/tex]ANSWER
D. 8.2^3
How is 600:450 and 60:45 equivalent
How is 60:45 and 4:3 equivalent
How is 600:450 and 4:3 equivalent
What is X for
3(2x + 11) + 4(2x + 3) = 9(2x + 13) - 3x
Answer:
x = -72
Step-by-step explanation:
3(2x + 11) + 4(2x + 3) = 9(2x + 13) - 3x
(6x + 33) + (8x + 12) = (18x + 117 ) - 3x
14x + 45 = (18x + 117) - 3x
14x + 45 = 15x + 117
-45
14x = 15x + 72
-15x
-1x = 72
/-1
x = -72
Jessica used 2/3 yard of fabric to make scarf can she make 2 of these scarfs with 1 3/4 yards of fabric, and why?
SOLUTION:
Step 1;
In this question, we are given the following;
Jessica used 2/3 yard of fabric to make scarf can she make 2 of these scarfs with 1 3/4 yards of fabric, and why?
Step 2:
The details of the solution are as follows;
Identify the slope and y-intercept from the graph, and then write the equation of the line. YA 3) 1. slope = y-intercept= y =
As shown on the graph:
y-intercept is the value of y at which x = 0
so, from the graph when x = 0 , y = -3
To find the slope use two points to calculate it
Using the points (0 , -3) and ( 4 , 4 )
the slope = Rise/Run
Rise = 4 - (-3) = 4 + 3 = 7
Run = 4 - 0 = 4
so, the slope = 7/4
The slope intercept form of the line is y = mx + c
Where m is the slope and c is y-intercept
Slope = m = (7/4)
y-intercept = c = -3
So,
y = (7/4) x - 3
what is the range of the relation[(-5,0),(-4,-3),(-3,4),(-1,0),(-4,-1)]
The range is the set of values that the relation takes for the domain for which it is defined.
Is the set of values of the dependent variable.
In this case, we have the relation [(-5,0),(-4,-3),(-3,4),(-1,0),(-4,-1)].
The dependant variable takes the values: 0, -3, 4, 0 and -1. Some values are repeated.
We put the repeated values only once and sort to write the range.
Then, the range is R = {-3, -1, 0, 4}.
Answer: Range = {-3, -1, 0, 4}
According to the propertyWhich choice is equivalent to the quotient below!
Answer:
A
Step-by-step explanation:
Because square root of 30 is 5.4 rounded, and square root of 6 is 2.4 rounded, so 5.4 divided 2.4 is 2.25, and square root of 5 (Answer choice A) is 2.25 rounded as well. They are more accurate when not rounded btw u can check yourself:) HAVE A GREAT DAY/NIGHTT!
indicate the equation of the given line in standard form show all your work for full creditthe line containing the diagonal ,BD,of a square whose vertices areA(-3,3) B(3,3) C (3,-3) and D (-3,-3)find two equations one for each diagonal
ANSWER:
x + y = 0
x - y = 0
EXPLANATION:
Given the coordinates:
A(-3,3)
B(3,3)
C(3,-3) and
D (-3,-3)
One diagonal is line AC.
Find the slope of AC:
[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\text{ }\frac{-3-3}{3-(-3)}=\frac{-6}{6}=\text{ -1}[/tex]Solpe of AC = -1
Using the slope intercept form, y = mx+b, we have:
y = -1x + b
y = -x + b
The equation for AC:
y = -x
The other diagonal is BD.
find the slope of BD:
[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\text{ }\frac{-3-3}{-3-3}=\frac{-6}{-6}=\text{ 1}[/tex]Slope of BD = 1
The equation of BD:
y = 1x
y = x
Therefore the equation of both lines in standard form will be:
AC ==> x + y = 0
BD ==> x - y = 0
The sum of nine and a number is forty less than fifteen
Answer:
x = -34
Step-by-step explanation:
Lets use "x" as the missing number
9 + x = 15 - 40
9 + x = -25
x = -25 - 9
x = -34
Four friends are playing a game. 36 cards are dealt out between the friends. Which equation can be used to find how many cards each person receives
Given
Four friends are playing a game.
36 cards are dealt out between the friends.
To find: Which equation can be used to find how many cards each person receives.
Explanation:
It is given that,
Four friends are playing a game.
36 cards are dealt out between the friends.
Let x be the number of cards received by each person.
Then,
[tex]\begin{gathered} 4x=36 \\ x=\frac{36}{4} \\ x=9 \end{gathered}[/tex]Hence, each person receives 9 cards.
Thus,
[tex]undefined[/tex]B.__ angles form a straight line.
Complete the sentences
A. All right angles are 90 degrees (by definition)
B. supplemenatry angles form straight line (by definition)
C. If two angles form a linear pair, then the are supplementary (by definition)
D. When two lines intersect, the inverse angles are congruent.
In the given image of two intersecting lines, you have m∠1 = 67°
E. angle 2 and angle 1 are supplementary, then;
m∠2 + m∠1 = 180°
m∠2 = 180° - m∠1
m∠2 = 180° - 67°
m∠2 = 113°
F. angle 3 and angle 1 are congruent, then:
m∠3 = m∠1 = 67°
Due to the given image, you have the following expressions:
2x + x + 60° = 180° supplementary angles
3x + 60° = 180° subtract 60 both sides
3x = 180° - 60°
3x = 120° divide both sides by 3
x = 120/3
x = 40°
Furthermore, for y, you have:
x + y + y + 20° = 180° supplementary angles
x + 2y + 20° = 180° replace x = 40
40 + 2y + 20° = 180°
2y + 60° = 180° subtract 60 both sides
2y = 180° - 60°
2y = 120°
y = 120/2 divide by 2 both sides
y = 60°
Answer: 180 degree's make up a straight line.
Step-by-step explanation:
related rates need help calculus
Answer:
0.1468 ohms per second
Step-by-step explanation:
You want the rate of change of R when ...
1/R = 1/r1 +1/r2r1 = 70 Ωr2 = 120 Ωr1' = 0.3 Ω/sr2' = 0.2 Ω/sDerivativeThe desired rate of change is the derivative of R with respect to time. Implicitly differentiating the given relation with respect to time, we have ...
-R'/R² = -r1'/r1² -r2'/r2²
R' = R²(r1'/r1² +r2'/r2²)
Using the given relation and values, we have ...
1/R = 1/70 +1/120 = 190/(70·120)
R = (840/19)
R' = (840/19)(0.3/70² +0.2/120²) = 53/361 ≈ 0.1468
The rate of change of R is about 0.1468 ohms per second.
Additional comment
Most graphing calculators can figure this value for you.
this one is way to hard
f(5) = -4(5 - 1)
f(5) = -4(4)
f(5) = - 16
A set of data has a normal distribution with a mean of 56 and a standard deviation of 9. Find the percent of data within the following interval. from 29 to 83 The percent of data within the given interval is ____%.
Solution
We are given
[tex]\begin{gathered} \mu=56 \\ \sigma=9 \end{gathered}[/tex]First, we will find the probability p(29 < x-bar < 83)
Note: z score formula
[tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]To find the probability
[tex]\begin{gathered} p(29<\bar{x}<83)=p(\bar{x}<83)-p(\bar{x}<29) \\ p(29<\bar{x}<83)=p(z<\frac{83-56}{9})-p(z<\frac{29-56}{9}) \\ p(29<\bar{x}<83)=p(z<3)-p(z<-3) \\ p(29<\bar{x}<83)=0.99865-0.0013499 \\ p(29<\bar{x}<83)=0.9973001 \\ p(29<\bar{x}<83)=0.9973\text{ \lparen to four decimal places\rparen} \end{gathered}[/tex]Therefore, the percentage within the given interval will be
[tex]0.9973\times100=99.73\%[/tex]The answer is
[tex]\begin{equation*} 99.73\% \end{equation*}[/tex]A={1,2,3,4,5} and B={6,7,8,9}. Find A∪B
Answer:
{1, 2, 3, 4, 5, 6, 7, 8, 9}
Step-by-step explanation:
[tex]A \cup B[/tex] represents the set of all elements in [tex]A[/tex] or [tex]B[/tex].
Divide x^2+x-4 by (x+3)
The resulting value of the division of x²+x-4 by (x+3),
Quotient = x - 2
Remainder = 2
Division:
The process of division means the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
Given,
Here we have the expression x²+x-4.
Now, we need to divide by the expression (x + 3).
Here we have to use the long division method in order to solve it.
The following steps are followed to solve this:
1. Divide the first term of the dividend by the first term of the divisor
2. Write down the calculated result x in the upper part of the table.
3. Multiply it by the divisor
4. Subtract this result from the dividend
This steps is repeated until no further division.
Thus process will be showed on the attached figure.
To know more about Division here.
https://brainly.com/question/21416852
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Find the value of z.
x
y
1089
400
w
N
z = [? ]°
Answer:
34 degrees
Explanation;
Using the theorem below to solve the problem;
Angle at the vertex is equal to to half of the difference of angles of its intercepted arcs
Angle at the vaertex = z
difference of angles of its intercepted arcs = 108 - 40
difference of angles of its intercepted arcs = 68
Using the theorem
z = 1/2(108-40)
z = 1/2 * 68
z = 34 degrees
Hence the value of z is 34 degrees
Instructions: State the domain and range of the given function.
In this problem, we are going to state the domain (x-values)of the given scatter plot.
Notice that we are given individual points. That means the domain will also have individual values, or the x-vaues of the points.
In your graph, we are given th following points:
(2,2)
(2,10)
(3,7)
(5,5)
(8,5)
So, the domain for the graph will have the values 2, 3, 5, 8, or the first option on your dropdown menu.
16. What is the average of the following numbers? 7, 4, 6, 11, 10, 17, 15? (a) 14 (b) 9 (c) 10 (d) 12 (e) 20
Answer:
C: 10
Step-by-step explanation:
What is the surfacearea, in square inches,of the square pyramidbelow?
hi, for solve this question we need to use the formula below:
[tex]\text{Area of each triangle + area of the quadrangular base = Total area}[/tex]First, the area of the base:
[tex]\begin{gathered} \text{area base = side }\cdot\text{ side} \\ \text{area base = 4in }\cdot\text{ 4in} \\ \text{area base = 16in}^2 \end{gathered}[/tex]Now, the area of each triangular side:
we have the base as 4in, and the height as 9in.
So, using the formula:
[tex]\begin{gathered} \text{area = }\frac{\text{ base }\cdot\text{ height}}{2} \\ \text{area = }\frac{\text{ 4 }\cdot9}{2} \\ \text{area = }\frac{\text{3}6}{2}=18in^2\text{ each triangular side} \end{gathered}[/tex]Now, let's sum all of the values:
4 triangular sides + 1 quadrangular side
(4 * 18in) + (1 * 16in)
72in² + 16in² = 88in²
Answer: ALTERNATIVE NUMBER 2. 88in²
Use this description to write the quadratic function in vertex form:The parent function f(x)=x^2 is vertically stretched by a factor of 2 and translated 14 units right and 6 units up.
The vertex form is given by:
[tex]y=a(x-h)^2+k[/tex]The parent function is:
[tex]f(x)=x^2[/tex]The function is vertically stretched by a factor of 2 :
[tex]2f(x)=2x^2[/tex]and translated 14 units right:
[tex]2f(x-14)=2(x-14)^2[/tex]and 6 units up:
[tex]2f(x-14)+6=2(x-14)^2+6[/tex]Answer:
[tex]g(x)=2(x-14)^2+6[/tex]Solve for x
23x-5
21x+5
I am stuck on trying to solve these two problems can someone please help me with themWrite an equivalent fraction for each problem below. 24/42 and 16/20
ANSWER :
The equivalent fractions are :
24/42 = 4/7
16/20 = 4/5
EXPLANATION :
From the problem, we have the fractions 24/42 and 16/20
For 24/42
We need to think of a number that the numerator and the denominator will be divisible of.
24 and 42 are both divisible by 6.
That will be :
[tex]\frac{24}{42}\rightarrow\frac{24\div6}{42\div6}=\frac{4}{7}[/tex]Therefore, the equivalent fraction for 24/42 is 4/7
For 16/20
We will do the same procedure, 16 and 20 are divisible by 4.
That will be :
[tex]\frac{16}{20}\rightarrow\frac{16\div4}{20\div4}=\frac{4}{5}[/tex]The equivalent fraction for 16/20 is 4/5
Solve
-21 < 3x - 12 < 6
Answer:
-3 < x < 6
Step-by-step explanation:
-21 < 3x - 12 < 6
first lets add 12 to everything
-9 < 3x < 18
now lets divide everything by 3
-3 < x < 6
slove equations with variables on both sides-4 + 9z = 10z
Write the list of integers in increasing order from left to right.12, -4, -9,2, -2.
we have the list
12, -4, -9,2, -2
rewrite in increasing order from left to right
The answer is
-9,-4,-2,2,12Dakota fills a measuring cup 5/8 cup of sugar 2 times to make a cake. Which multiplication equation shows the total amount of sugar Dakota uses?
We have that Dakota fills a measuring cup 5/8 cup of sugar two times. The multiplication equation that shows the total amount of sugar is:
[tex]2\cdot\frac{5}{8}=\frac{10}{8}=\frac{8}{8}+\frac{2}{8}=1+\frac{2}{8}=1\frac{2}{8}[/tex]We needed to multiply the fraction 5/8 by 2, and then solve for the given operations.
Therefore, the answer is the last option:
2 x 5/8 = 10/8 = 1 2/8 cups of sugar
