Answer:
83/90
Step-by-step explanation:
you need to multiply the variable by 10. x =
0.9222… 10x = 9.222… 10x – x = 9.222… – 0.9222… 9x = 8.3 x =83/90
The decimal 0.92¯¯¯ is equal to the fraction 92/99.
So, the correct answer is 92/99.
Given that, a decimal 0.92¯¯¯, we need to convert it into fraction,
To convert the decimal 0.92¯¯¯ to a fraction, we can follow these steps:
Let's represent 0.92¯¯¯ as x.
Step 1: Multiply x by 100 to remove the repeating decimal:
100x = 92.92¯¯¯
Step 2: Subtract x from 100x to eliminate the repeating decimal:
100x - x = 92.92¯¯¯ - 0.92¯¯¯
99x = 92
Step 3: Divide both sides of the equation by 99 to solve for x:
x = 92/99
Therefore, the decimal 0.92¯¯¯ is equal to the fraction 92/99.
So, the correct answer is 92/99.
Learn more about Repeating decimal click;
https://brainly.com/question/32304269
#SPJ2
the diameter of a circle is 18in find its area to the nearest tenth
Answer:
approximately 254.5
btw area of circle= pi multiplied by radius
Step-by-step explanation: I got you bro
Answer: Circle area = π * r² = π * 81 [inch²] ≈ 254.47 [in²]
but because it asks for nearest tenth
254.5 in²
this is your real answer
Jayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply.
Answer:
its B, C and E
Step-by-step explanation:
Answer:
Jayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply. Best Option B, C
(B) 9 Superscript negative 3
(C) 3 Superscript negative 6
Step-by-step explanation:
Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
Learn more about Venn diagram here:
brainly.com/question/29301560
#SPJ1
what is the z-score of the value 724 rounded to the nearest tenth?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
mean = 571
standard deviation = 236.5
score = 724
Step 02:
z-score:
\(z-score\text{ = }\frac{x-\mu}{\sigma}=\frac{724-571}{236.5}=\frac{153}{236.5}=0.6\)The answer is:
z - score = 0.6
SOMEONE HELPPPPP 4a-18=6a
Answer:
a = -9Step-by-step explanation:
Solving for a in steps:
4a - 18 = 6a6a - 4a = -182a = -18a = -18/2a = -9Appliances Plus purchased a washing machine for a cost price of $480, if they mark it up 38% what will the retail price be?
Answer:
$662.4
Step-by-step explanation:
Markup Percentage = (Markup / Cost)
1.38 = (Markup / 480)
1.38 * 480 = $662.4
I NEED HELP WITH BOTH OF THESE
Answer:
first one is C
the second it is A
Step-by-step explanation:
the equation of a circle=(x-h)^2 + (y-k)^2 = r^2
h and k are the coordinate of the origin of a circle
to find the origin which is the midpoint of the diameter which has end points
(9,1) and (1,9)
h=9+1/2 = 10/2=5
k=9+1/2 = 10/2=5
(x-5)²+(x+5)²=r²
find r which is the half distance of the diameter
d of diameter : √(x2-x1)²+(y1-y2)²
d=√(9-1)²+(1-9)²
d=√8²+8²=8√2
radius=8√2/2=4√2
(x-5)²+(x+5)²=r²
(x-5)²+(x+5)²=(4√2)²
(x-5)²+(x+5)²=32
TR>TS the sides RS and TS are congruent opposite angles are equal.
Factor 4x^2+29x+30=0
Answer:
= − 5 /4
= − 6
Step-by-step explanation:
Use the sum-product pattern
4 ^2 + 2 9 + 3 0 = 0
4x^2+29x+30=0
4x2+29x+30=0
4 ^2 + 2 4 + 5 + 3 0 = 0
Rewrite in factored form
4 ( + 6 ) + 5 ( + 6 ) = 0
4x(x+6)+5(x+6)=0
4x(x+6)+5(x+6)=0
(4 + 5 ) ( + 6 ) = 0
Solution:
= − 5 /4
= − 6
Step-by-step explanation:
4x^2 × 30 = 120x^2
120x^2 = 24x x 5x
(4x^2) + (24x) + (5x) +30 =0
4x(x+6) + 5(x+6) =0
(4x +5) + (x+6) =0
4x + 5 = 0 , x+6=0
XE = ( -5/4, -6)
Which of the following rational functions is graphed below?
On solving the question, we can say that second function has vertical asymptote at x=2
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found.
The function that represents the graph is f(x) = 1/x-2 .
The graph of the function
From the given graph , the vertical asymptote is at x=2
Lets find out the vertical asymptote of each function
To find out vertical asymptote we set the denominator =0
f(x) = 1/2x
2x = 0
x = 0
f(x) = 1/x-2
x-2 = 0
x = 2
The second function has vertical asymptote at x=2
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
Who is most affected by a discrepancy in dosage
When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.
What is the discrepancy in dosageInsufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.
It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.
Learn more about dosage from
https://brainly.com/question/29367085
#SPJ1
-2x (-3x²y)(2y) = _______.
Answer:
12x³y²
Step-by-step explanation:
You want the product -2x (-3x²y)(2y).
ExponentAn exponent is a means of telling the number of times the base is a factor in a product. For example, the exponent 2 means the base is a factor twice in the product:
x² = x·x
ApplicationWhen the same factor appears a number of times in a product, an exponent can be used to represent that number.
(-2x)(-3x²y)(2y) = (-2)(-3)(2)(x·x²)(y·y)
The factor x appears 3 times in the product, and the factor y appears twice. The numerical product can be simplified, so the result is ...
12x³y²
A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 975 miles. Flying against a headwind, it takes 2 hours longer to complete the return trip. What was the wind velocity?
no links
Answer:
T1 = 975 / (205 + V) flying with wind
T2 = 975 / (205 - V) flying against wind
T2 = T1 + 2
975 * {1 / (205 - V) - 1 / (205 + V)] = 2
(205 + V + V -205) / (205^2 - V^2) = 2 / 975
V^2 + 975 V - 42025 = 0 rearranging
V = 41.3
Values of flying are 246.3 and 163.7
Check:
T1 = 975 / 246.3 = 3.96 hrs
T2 = 975 / 163.7 = 5.96 hrs
A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
For more such questions on spinner, click on:
https://brainly.com/question/32737567
#SPJ8
Suma.
Tu respuesta debe ser un polinomio
desarrollado en forma estándar.
-3c4 - 5c – 7c) + (4c4 + 8c3 + 2c4)
Answer:
English please. i cant speak espanol
What is the value of the expression -x + 3y, if x = 5 and y = -4?
Answer:
-17
Step-by-step explanation:
c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
Image attached giving 25 points please help
Answer:
Rational
Step-by-step explanation:
It isnt whole because its a decimal,
It isnt an Integer because its a decimal
It isnt natural because its a decimal
Meaning it can only be rational
Ayana received some gift cards for music and movie downloads for her birthday. Using one of them, she downloaded 20 songs and 3 movies, which cost a total of $73. Using another, she purchased 5 songs and 17 movies, which cost a total of $197. How much does each download cost?
20s + 3m = 73
5s + 17m = 197
Eliminate s terms: Multiply second equation by -4, then add to first equation:
-20s - 68m = -788
20s + 3m = 73
—————————-
-65m = -715
m = (-715)/(-65) = 11
20s + 3(11) = 73
20s = 40
s = 2
A movie download costs $11. A song download costs $2
There exist integers min such that m minus n is less tha or equal to m plus n.
Answer:
I have asked question in my profile please tell me that answer please
the function has zeros at -1 and -11, and a minimum at -5
The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).
What is graph?In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.
In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.
According to given information:
Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):
\(f(x) = a(x- (-1))(x- (-11))\)
Simplifying, we get:
\(f(x) = a(x+1)(x+11)\)
To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:
\(-5 = (-1+(-11))/2\\-5 = -6\)
This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:
\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)
We also know that the function has a minimum at this point, so we can use this to find the value of a:
\(f(-6) = -5\\-5= -5a\\\\a = 1\)
Therefore, the quadratic function that satisfies these conditions is:
\(f(x) = (x+1) (x+11)\)
We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:
x-coordinate of vertex = \((-1 +(-11))/2 =-6\)
y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)
Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.
Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?
To know more about graph visit:
https://brainly.com/question/19040584
#SPJ1
Need help with top problem. Maybe bottom too
1) The area of a circle circumscribed about a square is 307.7 cm².
2.a.) The angle ACB is 39 degrees.°.
2b.) The value of x is 5.42.
How to determine the area of a circle?We shall find the radius to determine the area of a circle.
First, find the side length of the square:
Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.
Next, find the diagonal of the square, using the Pythagorean theorem:
Diagonal = the diameter of the circumscribed circle.
Diagonal² = side length² + side length²
= 14 cm² + 14 cm²
= 196 cm² + 196 cm²
= 392 cm²
Take the square root of both sides:
Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)
Then, the radius of the circle which is half the diagonal:
Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)
Finally, compute the area of the circle using the formula:
Area = π * Radius²
Area = 3.14 * (9.90 cm)²
Area ≈ 307.7 cm² (rounded to two decimal places)
Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².
2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.
Given that arc AB has a measure of 78°, we can find angle ACB as follows:
Angle ACB = 1/2 * arc AB
= 1/2 * 78°
= 39°
Therefore, the angle ACB is 39 degrees.
2b.) To solve for the value of x, we use the information that the angle ADB = (3x - 12)⁴.
Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:
(3x - 12)⁴ = 78
Solve the equation for x, by taking the fourth root of both sides:
∛∛((3x - 12)⁴) = ∛∛78
Simplify,
3x - 12 = ∛(78)
Isolate x by adding 12 to both sides:
3x - 12 + 12 = ∛(78) + 12
3x = ∛(78) + 12
Finally, divide both sides by 3:
x = (∛(78) + 12) / 3
x = (4.27 +12) / 3
x = 5.42
So, x is 5.42
Therefore,
1) The area of the circle is 154 cm².
2a.) Angle ACB is equal to 102°.
2b.) The value of x is 5.42
Learn more about the area of a circle at brainly.com/question/12374325
#SPJ1
What number equals 2 4/5?
O 0.28
O 0.357
O 2.45
O 2.8
I think its 2.8.
Reason why:
4/5 = 0.8
Then the 2 would a whole number...
so 2.8.
Given that f(x) = |x|, graph the function g(x) = -f(x + 4).
Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and also apply the given metamorphoses. The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.
First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4). Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4). Combining these metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can compass a many points and also draw the graph by connecting them.
Let's start with the original graph of f( x) = | x| and apply the metamorphoses
For f( x) x = -3,-2,-1, 0, 1, 2, 3
f( x) = 3, 2, 1, 0, 1, 2, 3 For
g( x) = - f( x 4) x = -7,-6,-5,-4,-3,-2,-1
g( x) = -3,-2,-1, 0,-1,-2,-3
conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
For more questions on graph
https://brainly.com/question/28618196
#SPJ11
A bar of soap weighs 175 g. How much do 15 bars of soap weigh in ounces?
Answer:
92.59 ounces................
Answer:
92.5941501 ounces, 93 ounces if rounded to whole number, and 92.6 if rounded to the nearest tenth.
Step-by-step explanation:
Hope this helps! have a great day
What is 20% tip on a bill of 59.61
Answer:
about $12
Step-by-step explanation:
59.61(0.20)=11.922
11.922 rounded up is 12.
ur total bill would be $71.61
What is d?
2/3 x d = 40
Answer:
60
Step-by-step explanation:
2/3*d=40
d=40*3/2
d=60
helpppp i’ll give brainlest
find the approximate area of the shaded region
Answer:
240.52 m square is your answer
Answer:
B
Step-by-step explanation:
area of square=20×21=420 m²
diagonal=√(20²+21²)=√(400+441)=√841=29
radius=29/2
area of circle=π×(29/2)²=841/4 π≈660.52 m²
area of shaded region=660.52-420=240.52 m²
tanx(1+cos2x)=sin2x prove the identity
Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).
What is the prove of the given identity?To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.
Starting with the left-hand side (LHS):
tan(x)(1 + cos(2x))
We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:
LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))
Next, we can simplify the expression by expanding and combining like terms:
LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)
Simplifying further:
LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)
Now, let's work on the right-hand side (RHS):
sin(2x)
Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).
Now, let's compare the LHS and RHS expressions:
LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)
RHS = 2sin(x)cos(x)
To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:
LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)
Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:
LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)
= [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)
= 2sin(x) - 2sin³(x) / cos(x)
Now, using the identity 2sin(x) = sin(2x), we can simplify further:
LHS = sin(2x) - 2sin³(x) / cos(x)
Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.
Learn more on trigonometric identity here;
https://brainly.com/question/24496175
#SPJ1
if p (a)=0.3 and p(b)=0.7 and a and b are independent events, determine p(aub)
Answer:
given
p(a)= 0.3
p(b)= 0.7
now
p(aub)={(0.3)u(0.7)}
={(0.3),(0.7)}
Which shows the following expression after the negative exponents have been eliminated?
StartFraction a cubed b Superscript negative 2 Baseline Over a b Superscript negative 4 Baseline EndFraction, a not-equals 0, b not-equals 0
StartFraction a cubed b Superscript negative 4 Baseline Over a b Superscript negative 2 Baseline EndFraction
StartFraction a b Superscript 4 Baseline Over a cubed b squared EndFraction
Negative StartFraction a cubed b Superscript 4 Baseline Over a b squared EndFraction
StartFraction a cubed b Superscript 4 Baseline a b squared EndFraction
The expression \(\rm \frac{a^3b^{-2}}{ab^{-4}}\) is equivalent to the expression \(\rm \frac{a^3b^4}{ab^{2}}\). Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
\(\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}\)
And a ≠ 0 and b ≠ 0.
The negative exponents have been eliminated.
We know that 1/a⁻ⁿ = aⁿ.
Simplify the expression, then the expression will be
\(\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}\\\\\rm \rightarrow \dfrac{a^3b^4}{ab^{2}}\)
The expression \(\rm \dfrac{a^3b^{-2}}{ab^{-4}}\) is equivalent to the expression \(\rm \dfrac{a^3b^4}{ab^{2}}\).
Then the correct option is D.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5