Answer:
60°
Step-by-step explanation:
We know triangle ABC is an equilateral triangle, since all of its side measures are the radii of the circles. That means angle BAC is 60°. Likewise, angle BAD is 60°, so arc CD is 120°.
The measure of inscribed angle CED is half the measure of the intercepted arc CD, so is ...
∠CED = 120°/2
∠CED = 60°
rewrite 2^4=16 as a logarithmic equation
Answer:
The 1st option
Step-by-step explanation:
The base of a logarithm is always the base of an exponent. The log of part would always be the final powered form of the exponent. So, 2 would be the base, 16 would be logged, and 4 would be your answer.
What is the inverse of the function f(x) = 4x + 8?
Answer:
f^-1(x) = (x-8)/4
Step-by-step explanation:
To find an inverse function, simply flip the x and y variables in a equation and then solve in terms of y.
x = 4y + 8
x - 8 = 4y
y = (x-8)/4
And we have our final answer!
enter the correct value so that the expression is a perfect square trinomial x^2 - 10x +
Answer:
25
Step-by-step explanation:
The correct value can be calculated by doing (b/2)²
In this expression, it would be (-10/2)²
Which equals 25
Answer:
x^2 -10x+25
Step-by-step explanation:
Take the coefficient of x
-10
Divide by 2
-10/2 =5
Square it
5^2 =25
Add this to make a perfect square trinomial
x^2 -10x+25
Help please I don’t really understand
Answer:
35
Step-by-step explanation:
We first need to find the missing side of the base triangle.
15^2 - 9^2 = x
144 = x^2
x = 12
Then, we can use the same formula (Pythagorean theorem) to find BD.
37^2 - 12^2 = x
1225 = x^2
x = 35
Find the value of x. 5x+18+2x=5
Answer: x=-1.9
Step-by-step explanation:
[tex]5x+2x=7x[/tex]
[tex]7x+18=5[/tex]
-18 on both sides
[tex]7x=-13[/tex]
divide 7 on both sides
[tex]x=-1.9[/tex]
Answer
X=-1.9solution
[tex]5x + 18 + 2x = 5 \\ or \: 5x + 2x + 18 = 5 \\ or \: 7x + 18 = 5 \\ or7x = 5 - 18 \\ or \: 7x = - 13 \\ \: x = - \frac{13}{7} [/tex]
X=-1.9
hope this helps..
Good luck on your assignment...
terrace buys a new car for 20,000 the value of the car depreciates by 15% each year if f(x) represents the value of the car after x years which function represents the care value
Answer:
f(x)= 20,000[tex](0.85)^{x}[/tex]or 20,000 (0.85) to the power of x.
Step-by-step explanation:
Okay, so based on the question, we know that the car is depreciates its value every year. In case you don't know, when something depreciates, it is becoming smaller or less in value. It comes to a point where the item becomes worthless. Recall, that the formula for an exponential function is y= a(b) to the power of x. A is your initial value or your y-intercept. B is the multiplicative rate of change. Lets put 20,000 for a because that is value of the car that terrace purchased before any depreciation happened. Since it says that it is decaying every year, we don't want to graph how much it is decaying, we want to graph what the value is of the car. So, do 100 percent minus 15 which is 85 percent. You need to change it into decimal, so it is 0.85. Therefore, there is your function.
Hope this helps!
Angle X measures _____ degrees. Angle Y measures _____ degrees. The value of x is ______ degrees. Tha value of y is _____ degrees.
Answer:
Angle x measures 64 degrees and Angle y also measures 64 degrees. X is 11. The value of y is also 11.
Step-by-step explanation:
Alright, so this triangle is an isosceles triangle since there are lines on two sides meaning they are congruent to each other. So, if the sides are congruent, then the angles are also congruent. Angle y is congruent to angle x. First, lets find what they measure totally. Since they are congruent, we can write the equation with 2x+angle w which is 52=180 because the sum of all angles in a triangle is 180. Subtract 52 from both sides 2x=132 divide both sides by 2, and you get 64. You found what angle x and y equal. Now you can find what the value of x and y. For finding x, 4x+20=64 and for y, 6y-2=64. Isolate each variable, and you get 11 for both the value of x and y.
Write a compound inequality that represents each situation. Graph your solution. all real numbers that are greater than –8 but less than 8
Answer:
hope this helps
Step-by-step explanation:
All real numbers that are greater than –8 but less than 8 is given by: -8 < x < 8
:)
plz help!! marking brainiest!! (btw jus to clarify, i dont have three questions, they're jus graphs)
Answer:
c
Step-by-step explanation:
Write a compound inequality that represents the situation. All real numbers are at least -6 and at most 3
Answer:
{x ∈ ℝ | -6 ≤ x ≤ 3}
Step-by-step explanation:
For a real number x, numbers that are at least -6 are ...
x ≥ -6
and numbers that are at most 3 are ...
x ≤ 3
This can be written as a compound inequality with x in the middle as ...
-6 ≤ x ≤ 3 . . . . x is a real number
Find the 98th term of the arithmetic sequence 14, 10, 6, ...
Answer:
-374
Step-by-step explanation:
We know that a₁ = 14 and the common difference = -4 so the explicit rule is aₙ = 14 + (n - 1) * (-4) = -4n + 18. a₉₈ = -4 * 98 + 18 = -374.
Answer:
Brainliest!!!!
Step-by-step explanation:
the equation is this...
y = -4x + 14
97 x -4 = -388
-388 + 14 = -374
you might wonder why I did 97... that is becuase 14 is the first term
A set of shirt prices are normally distributed with a mean of 45 dollars and a standard deviation of 5 dollars. What proportion of shirt prices are between 37 dollars and 59.35 dollars? You may round your answer to four decimal places.
Answer:
0.9432
Step-by-step explanation:
Given that
[tex]\\Mean (\mu)= 45[/tex]
[tex]Standard\;Deviation (\sigma)= 5[/tex]
Based on this, the proportion of the shirt price between the given range is
As we know that
For 37 dollars
[tex]z_{ score } = \frac{x-\mu}{\sigma}[/tex]
[tex]z = \frac{37.0-45.0}{5.0}[/tex]
[tex]z_1 = -1.6[/tex]
For 59.35 dollars
[tex]\\ z = \frac{59.35-45.0}{5.0} \\[/tex]
[tex]z_2 = 2.87[/tex]
This results into
= P(37.0 < x < 59.35)
= P(-1.6 < z < 2.87)
= P(Z < 2.87) - P(Z < -1.6)
So,
= P(37.0 < x < 59.35)
= 0.9979 - 0.0547
= 0.9432
Refer to Z score table
Which points are on the perpendicular bisector of the given segment? Check all that apply. (−8, 19) (1, −8) (0, 19) (−5, 10) (2, −7)
Answer:
−8, 19
1, −8
-5, 10
Step-by-step explanation:
The points that are on the perpendicular bisector of the given segment is (-5, 10)
What is the perpendicular bisector?Perpendicular bisector is defined as a line that divide an angle into two equal parts at 90 degrees.
The standard equation of a line in point-slope form is expressed as
y-y₁ = m(x-x₁)
First, we need to get the equation of the line using the coordinates (-20, 0) and (10, 15)
Get the slope of the line
m = 15-0/10-(-20)
m = 15/30
m = 1/2
The slope of the line perpendicular to the line is -2
Using the point (-5, 10) on the line, get the equation in the point-slope form:
y - 10 = -2(x + 5)
y - 10 = -2x - 10
y + 2x = -10 + 10
y + 2x = 0
y = -2x
To check which points are on the perpendicular bisector of the given segment, hence;
For the coordinate (-8, 19)
19 = -2(-8)
19 ≠ 16 (This is not a solution)
For the coordinate (1, -8)
-8 = -2(1)
-8 ≠ -2 (This is not a solution)
For the coordinate (-5, 10)
10 = -2(-5)
10 = 10 (This is a solution)
Hence, the point that is on the perpendicular bisector of the given segment is (-5, 10)
Learn more about perpendicular bisector here:
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Which expression is equivalent to (150x-80y+ 50-50x-25y+20)?
20x-214+ 14
20x+ 11y + 14
20x-11y+6
20x+21y+6
Answer:
20x+21y+14
Step-by-step explanation:
Combine like terms:
150x-80y+50-50x-25y+20=
100x-80y+50-25y+20=
100x-105y+50+20=
100x-105y+70
100x-105y+70 can be divided by 5 and get 20x+21y+14.
Answer:a
Step-by-step explanation:
how do the functions compare over the interval 0 ≤ x ≤ 1
Answer:
The exponential grows at approximately four times the rate of the quadratic.
Stephanie saw in an ad in the paper that her favorite kind of perfume was I feel for 25% off if the sale price was $15 what was the original price of the perfume
Answer: $20
Step-by-step explanation:
Here os the correct question:
Stephanie saw in an ad in the paper that her favorite kind of perfume was on sale for 25% off. If the sale price was $15, what was the original price of the perfume?
Let the original price of the perfume be y.
Since we are told that 25% is off, that means that 25% has been deducted from the original price. This can be written as:
y - (25% of y) = $15
y - (25/100 × y) = $15
y - 0.25y = $15
0.75y = $15
Divide both side by 0.75
0.75y/0.75 = $15/0.75
y = $20
The original price of the perfume is $20
The standard form of the equation of a circle is (x−4)2+(y−2)2=9. What is the general form of the equation? x2+y2−8x−4y+11=0 x2+y2+8x+4y+11=0 x2+y2−8x−4y−29=0 x2+y2+8x+4y−29=0
The general form of the equation of the circle will be x² + y² − 8x − 4y + 11 = 0.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The standard form of the equation of a circle is (x − 4)² + (y−2)² = 9
Then the general form of the equation of the circle will be
x² + 4² − 8x + y² + 2² − 4y = 9
x² + y² − 8x − 4y + 20 = 9
x² + y² − 8x − 4y + 11 = 0
Then the correct option is A.
Learn more about the equation of a circle here:
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descomponer numeros decimales 56238 54100 10000 20000
Answer:
Acá tenemos numeros de 5 cifras.
los podemos componer como:
D-m-c-d-u (en orden)
D = decenas de millar
m = millar
c = centenas
d = decenas
u = unidades.
56238 es 5 decenas de millar, 6 millares, 2 centenas, 3 decenas y 8 unidades.
54100 es 5 decenas de millar, 4 millares, 1 centenas, 0 decenas y 0 unidades.
10000 es 1 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
20000 es 2 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
Answer:
These are your answers.56238 es 5 decenas de millar, 6 millares, 2 centenas, 3 decenas y 8 unidades.
54100 es 5 decenas de millar, 4 millares, 1 centenas, 0 decenas y 0 unidades.
10000 es 1 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
20000 es 2 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
Step-by-step explanation:Hope this helped
Which of the following equations has the solution set {0}?
A.) -14m - 7m + 1 = -7m + 1
B.) -14m + 7m + 1 = -7m + 2
C.) 14m - 7m - 1 = -7m + 1
Answer:
Option A
Step-by-step explanation:
[tex]-14m-7m+1=-7m+1\\\\-14-7m+1-(-7m+1)=-7m+1-(-7m+1)\\\\-14m=0\\\\-14m/-14=0/-14\\\\\boxed{m=0}[/tex]
Answer:A
Step-by-step explanation:
-14m-7m+1=-7m+1
then
-14m-7m+7m=1-1
-14m=0
m=0
Can some plss help me :/
how many 1/2 size pieces are in 5 and 2/5
Answer:
12\
Step-by-step explanation:
A line passes through the point(8,-6) and has a slope of-5/4 . Write an equation in point-slope form for this line.
Answer:
y+6 = -5/4(x-8)
Step-by-step explanation:
The point slope form of the equation of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y --6 = -5/4 ( x - 8)
y+6 = -5/4(x-8)
Rearrange to make x the subject
Answer:
[tex]x = \frac{3t}{b} [/tex]
Which equations are correct? Select each correct answer.
Answers:
Option two, 5[tex]y^{4}[/tex](2[tex]y^{5}[/tex]) = 10[tex]y^{9}[/tex] and option 4, 5[tex]x^{3}[/tex](6[tex]x^{4}[/tex]) = 30[tex]x^{7}[/tex]
Step-by-step explanation:
O1 + O3 = incorrect, the powers have been multiplied together. Laws of indices suggest that if you are multiplying powers together, you must add them, not do 4 x 5 or 2 x 2.
Please remember:
2y squared x 3y cubed = 6y to the power 5
Answer:
Solution(s) : Option # 2 and # 4
Step-by-step explanation:
One quick way to identify which solutions are accurate would be adding the exponents of the terms provided ( b, y, c etc ). As you can see in each example two expressions are being multiplied, and hence the exponents of each term are being added.
Therefore the second and fourth example are correct, as 4 + 5 = 9, the co - efficient of y. And 3 + 4 = 7, the co - efficient of x.
Check :
[tex]5y^4\left(2y^5\right)[/tex] = [tex]5\cdot \:2y^{4+5}[/tex] = [tex]5\cdot \:2y^9[/tex] = [tex]10y^9[/tex]
[tex]5x^3\left(6x^4\right)[/tex] = [tex]5\cdot \:6x^{3+4}[/tex] = [tex]5\cdot \:6x^7[/tex] = [tex]30x^7[/tex]
Brittany uses the rowing machine and the stair machine at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
After 5 minutes of stretching, Brittany will exercise for 30 minutes, dividing her time between the two types of machines.
Brittany will spend three times as much time on the stair machine as on the rowing machine.
Write an equation.
Answer:
The equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
Step-by-step explanation:
We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.
Let the time spend by Brittany on the stair machine be represented by the variable [tex]x[/tex].
and the time spend by Brittany on the rowing machine be represented by the variable [tex]y[/tex].
Now, there are two conditions stated by her trainer;
The first condition states that Brittany will exercise for 30 minutes, dividing her time between the two types of machines, that is;[tex]x + y = 30 \text{ minutes}[/tex]
The second condition states that Brittany will spend three times as much time on the stair machine as on the rowing machine, that is;[tex]x = 3y[/tex]
So, the equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
These equations can be solved either using the substitution method or the elimination method.
Which would be appropriate compatible numbers to use to estimate (19 4/5)(4/6)
Answer:
Approximately 10
Step-by-step explanation:
19 / 5 Approximately 4
4 * 4 = 16
16 * 4 / 64
64 / 6 * = Approximately 10 / 10.6 ish
Actual Answer is 10.133
and, S2
inutes)
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is
shown below the column.
tion 1
tion 2
K
J
tion 3
J
K
5
13
tion 4
tion 5
K
J
L
L
tion 6
L
15
tion 7
tion 8
11
7
15
tion 9
tion 10
tion 11
What is the value of L?
tion 12
tion 13
Correct Question
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?
[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\J&K&J&5\\K&K&L&13\\L&J&L&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]
Answer:
L=7
Step-by-step explanation:
From the first row: 2J+K=5
Therefore: K=5-2J
From the second column, 2K+J=7
Substitute K derived above into 2K+J=7
2K+J=7
2(5-2J)+J=7
10-4J+J=7
-3J=7-10
-3J=-3
J=1
Recall: K=5-2J
K=5-2(1)=3
K=3
From the third column, J+2L=15
1+2L=15
2L=15-1=14
L=7
Therefore, the value of L=7
CHECK:
[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\1&3&1&5\\3&3&7&13\\7&1&7&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]
which of the following is equal to the rational expression when x ≠ -1 or -7
Answer:
A.
Step-by-step explanation:
When you simplify the equation down by getting rid of (x + 1) (and that creates a hole in the graph), you should end up with A as your answer.
What is the value of x? [PART 2] A.285˚ B.105˚ C.75˚ D.15˚
Answer:
x = 17
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
5x-18 + 4x+45 = 180
Combine like terms
9x +27 = 180
Subtract 27 from each side
9x+27-27 =180-27
9x =153
Divide by 9
9x/9 = 153/9
x =17
If 3x-5=6x-2 is -1. Then how do I do a check step? :(
Answer:
ok,just substitute the x for -1
3x-5=6x-2
3(-1)-5=6(-1)-2
-3-5 = -6-2
-8 = -8
TRUE
So,the solution is correct.-1 is the correct solution
I hope this help,Please give me the brainliest
Step-by-step explanation: