Answer:
a
Step-by-step explanation:
2x-4=20
Please fast with steps !
Answer:
x=12
hope it will helpful to you
Point B has coordinates (4,2). The x-coordinate of point A is - 1. The distance between point A and
point B is 13 units. What are the possible coordinates of point A?
Answer:
A (-1,-10) ; A (-1,14)
Step-by-step explanation:
[tex]\sqrt{(-1-4)^2 + (y-2)^2} = 13 \\ 25 + y^2 + 4 -4y = 169[/tex]
y^2 -4y - 140 = 0
Δ/4 = 4 + 140 = 144
y1 = 2 + 12 = 14
y2 = 2 -12= -10
Identify the type of observational study (cross-sectional, retrospective, or prospective) described below. A research company uses a device to record the viewing habits of about 7500 households, and the data collected today will be used to determine the proportion of households tuned to a particular sports program. Which type of observational study is described in the problem statement?
Answer:
Cross sectional study
Step-by-step explanation:
Cross sectional study, also known as traverse or prevalence study caloukdnbe defined as a form of observational study which involves analysing a certain sample of data which is selected based on a variable of interest. This data is collected at a given point in time across the sample population. In the scenario described above, the record of viewing habit of 7500 household smoke obtained today(point in time) will be used to determine the proportion tuned to a particular sport programme. (data collected is based on the variable to be analyzed).
The vertices of a trapezoid are located at (1, 2), (3, 1), (3, 5), (1, 4). The trapezoid is translated 4 units to the right. What are the coordinates of the image of the trapezoid?
Answer:
Suppose that we have a given point (x, y)
If we translate this point N units to the right, then the new coordinates of the point are:
(x + N, y)
Ok, now if we know that the vertices of the trapezoid are:
(1, 2), (3, 1), (3, 5), (1, 4)
And we move the whole figure 4 units to the right, then all the vertices are moved 4 units to the right.
Then the new vertices of the figure will be:
(1 + 4, 2) = (5, 2)
(3 + 4, 1) = (7, 1)
(3 + 4, 5) = (7, 5)
(1 + 4, 4) = (5, 4)
Then the coordinates of the image of the trapezoid (of the new vertices) are:
(5, 2), (7, 1), (7, 5), (5, 4)
Hello, I need help with this math question please
Option B:- x = -3/2 or x = 2
If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)
Answer:
[tex]y = -\frac{5}{3}x+\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]f(-2) = 4[/tex]
[tex]f(1) = -1[/tex]
Required
The equation of the function
The given parameters means that:
[tex](x_1,y_1) = (-2,4)[/tex]
[tex](x_2,y_2) = (1,-1)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{-1-4}{1--2}[/tex]
[tex]m = \frac{-5}{3}[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y =\frac{-5}{3}(x--2)+4[/tex]
[tex]y =\frac{-5}{3}(x+2)+4[/tex]
Open bracket
[tex]y = -\frac{5}{3}x-\frac{10}{3}+4[/tex]
Take LCM
[tex]y = -\frac{5}{3}x+\frac{-10+12}{3}[/tex]
[tex]y = -\frac{5}{3}x+\frac{2}{3}[/tex]
the temperature of a cup of coffee obeys newton's law of cooling. The initial temperature of the coffee is 150F and 1 minute later it is 135F. The temperature of the room is 70F. If T(t) represents the temperature of the coffee at time T the correct differential equation for the temperature for this condition is
Answer:
Newton's law of cooling says that:
T(t) = Tₐ + (T₀ - Tₐ)*e^(k*t)
or:
[tex]\frac{dT}{dt} = -k*(T - T_a)[/tex]
in the differential form.
where:
T is the temperature as a function of time
Tₐ is the ambient temperature, in this case, 70F
T₀ is the initial temperature of the object, in this case, 150F
k is a constant, and we want to find the value of k.
Then our equation is:
T = 70F + (150F - 70F)*e^(k*t)
Now we also know that after a minute, or 60 seconds, the temperature was 135F
then:
135F = 70F + (150F - 70F)*e^(k*60s)
We can solve this for k:
135F = 70F + 80F*e^(k*60s)
135F - 70F = 80F*e^(k*60s)
65F = 80F*e^(k*60s)
(65/80) = e^(k*60s)
Now we can apply the Ln(x) function to both sides to get:
Ln(65/80) = Ln(e^(k*60s))
Ln(65/80) = k*60s
Ln(65/80)/60s = k = -0.0035 s^-1
Then the differential equation is:
[tex]\frac{dT}{dt} = -0.0035 s^-1*(T - 70F)[/tex]
What is the range of g(x) = -2 [X + 3] + 2?
Answer:
A.
Step-by-step explanation:
When x = -3 g(x) = + 2 and this is the maximum value of g(x).
All other values of x give a value of g(x) < 2.
The range is (-∞, 2]
It is A (45). Hope this helps!
The list price on slacks is $22, and the list price on jumpers is $37. If Petit’s Clothing Store orders 30 pairs of slacks and 40 jumpers at a discount rate of 11%, what is the trade discount on the purchase?
Step-by-step explanation:
Calculate the value of decimal equivalents of complements, net decimal equivalent and net price with the help of given data:
List price= $200
Trade discount series= 20/10
Calculate the decimal equivalents of complements using given formula:
Complements of successive discount = 
= 80% / 90%
Hence, decimal equivalent of complements are 80% / 90%.
Answer:
Trade discount = $235.40
Step-by-step explanation:
List price :
Slacks = 22
Jumpers = 37
Total amount before discount = (30 x 22) + ( 40 x 37)
= 660 + 1480
= 2140
Discount rate = 11%
So,
[tex]Discount \ price = 11 \% \ of \ 2140\\\\Discount \ price = \frac{11}{100} \times 2140 = 235.40[/tex]
A triangle has side lengths of 24 centimeters and 35. The third side has a length of x centimeters. Complete the inequality to show all the possible values of x.
*2 answers*
Answer: [tex]11<x<59[/tex]
Step-by-step explanation:
Given
The side of the triangle are [tex]24\ \text{and }35[/tex]
Suppose the third side is [tex]x[/tex]
Also, the sum of the two sides of the triangle is always greater than the third
[tex]\therefore x<24+35\\\Rightarrow x<59\quad \ldots(i)[/tex]
Similarly,
[tex]\Rightarrow x+35>24\\\Rightarrow x>-11[/tex]
Also,
[tex]\Rightarrow x+24>35\\\Rightarrow x>11\quad \ldots(ii)[/tex]
From (i) and (ii) we get
[tex]\Rightarrow 11<x<59[/tex]
A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.
Answer:
13 inches
Step-by-step explanation:
Surface area of a right cone = pi*r(r+L)
i,e, 440 = 22/7*7(7+L)
440 = 22(7+L)
440 = 154 + 22L
440 - 154 = 22L
286 = 22L
286/22 = L
13 = L
Therefore the slant height is 13inches
Hope u understand
Thank You
Select the correct answer.
Given: ABC with DE||AC
Prove: AD/DB = CE/EB
Answer:
AB/DB = CB/EB
Step-by-step explanation:
This is the answer on Pluto. I got lucky when I guessed
The solution is given below.
What is alternate angles?The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.
Here given:
AB II DE, AC = CE
Now, in ΔABC and ΔEDC
As, AB II DE (given)
⇒∠BAC = ∠CED (Alternative pairs of angles)
and ∠ABC = ∠CDE (Alternative pairs of angles)
and AC = CE (given)
So, by the congruent property of AAS
(ANGLE ANGLE SIDE) which states that two triangle are congruent if two angles and one side of one triangle is equal to the two angles and one side of the other triangle.
ΔABC ≅ ΔEDC
to learn more on alternate angle click:
brainly.com/question/7197938
#SPJ7
complete question:
Given: AB II DE, AC = CE
Prove: A ABC = A EDC
Use substitution to solve the system of equations and choose the solution from the list below.
Look at the image
Answer:
Option : ( 2 , 6 )
x = 2, y = 6
Step-by-step explanation:
[tex]y = 4x - 2[/tex] ---------------- ( 1 )
[tex]y = -2x + 10[/tex] -------------- ( 2 )
Substitution Method
Substitute ( 1 ) in ( 2 ) :
[tex]4x - 2 = -2x + 10\\\\4x + 2x = 10 + 2\\\\6x = 12\\\\x = 2[/tex]
Now substitute x in ( 2 ):
[tex]y = -2x + 10\\\\y = -2 ( 2 ) + 10\\\\y = - 4 + 10 \\\\y = 6[/tex]
có bao nhiêu hình tứ giác
Answer:
si si amigo adila
Step-by-step explanation:
Find tan 0, where is the angle shown. Give an exact value, not a decimal approximation. (PLZ HELP DUE SOON I GIVE BRAINLIST :D)
Answer:
[tex]\frac{24}{7}[/tex]
Step-by-step explanation:
Tanθ=Opposite/Adjacent
we have the adjacent side but need the oppsoite
We will use a²+b²=c²
25²=7²+b²
576=b²
b=24
Therefore the answer is
[tex]\frac{24}{7}[/tex]
f(x)=3x-3
g(x) 3x^3+5
Find F(-3) and g(-2)
Answer:
f(-3) = -12
g(-2) = -19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x - 3
g(x) = 3x³ + 5
f(-3) is x = -3 for function f(x)
g(-2) is x = -2 for function g(x)
Step 2: Evaluate
f(-3)
Substitute in x [Function f(x)]: f(-3) = 3(-3) - 3Multiply: f(-3) = -9 - 3Subtract: f(-3) = -12g(-2)
Substitute in x [Function g(x)]: g(-2) = 3(-2)³ + 5Exponents: g(-2) = 3(-8) + 5Multiply: g(-2) = -24 + 5Add: g(-2) = -19Answer:
f(-3) = -12
g(-2) = -19
Step-by-step explanation:
1.
f(x) = 3x - 3
One is asked to find (f(-3)), substitute (-3) into the given function (f) in place of (-3), and solve to evaluate,
f(-3) = 3(-3) - 3
Simplify,
= -9 - 3
= -12
2.
g(x) = [tex]3x^3+5[/tex]
The problem asks one to find (g(-2)), subtitute (-2) into the function in place of (x) and solve to find tis value,
g(-2) = [tex]3(-2)^3+5\\[/tex]
Remember any number raised to an exponent is equal to the base (the number that is being raised to the exponent) times itself the number of times that the exponent indicates,
[tex]=3(-8)+5\\=-24+5\\=-19[/tex]
What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 8y + 21=0
Answer:
Step-by-step explanation:
(x²-6x)+(y²+8y)=-21
(x²-6x+9)+(y²+8y+16)=-21+9+16
(x-3)²+(y+4)²=4
center=(3,-4),radius=√4=2
Can someone please help me?
Answer:
The Answer for your question is B
Answer:
78%
Step-by-step explanation:
They are asking for spotted animals and dogs so
Spotted animals=40%
Dogs=38%
So just add them to get 78%
(Don’t get confused by the 12% spotted dogs those are from the 38%)
HELP !!!! look at the picture
Answer:
Option C:
g(x) = -3^x
Step-by-step explanation:
Here we can see the graphs of f(x) and the graph of g(x).
By only looking at that, we can see that g(x) is a reflection across the x-axis of f(x).
Remember that for a general function f(x), the reflection across the x-axis is written as:
g(x) = -f(x).
Then, if f(x) = 3^x
and g(x) = -f(x)
replacing f(x) we get:
g(x) = -(3^x) = -3^x
The correct option is C.
x-value of 0
f(x) = |x|
f(x) = |x| + 3
f(x) = |x + 3|
f(x) = |x| − 6
f(x) = |x + 3| – 6
9514 1404 393
Answer:
0, 3, 3, -6, -3
Step-by-step explanation:
Maybe you want to find f(0) in each case. Put 0 where x is, and do the arithmetic.
f(0) = |0| = 0
f(0) = |0| +3 = 3
f(0) = |0 +3| = 3
f(0) = |0| -6 = -6
f(0) = |0 +3| -6 = -3
Choose the equation of the line that is parallel to the y-axis.
x = -2
x + y = 0
x = y
y = 2
Answer:
x=-2
Step-by-step explanation:
If x always = -2, it is a straight vertical line which means it is parallel to the y axis
Jenny made 200 bracelets. She sold 64% of the bracelets at a craft fair.
a. How many bracelets did she sell?
b. How many bracelets were not sold?
Step-by-step explanation:
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Answer:
Jenny sold 128 braclets. 72 bracelets weren't sold.
Step-by-step explanation:
IMPORTANT FORMULA: TO CONVERT A NUMBER TO A PERCENT, YOU HAVE TO MULTIPLY BY 100. TO CONVERT A PERCENT TO A NUMBER, YOU HAVE TO DIVIDE BY 100.
a) How many bracelets did she sell?
Using the formula that is shown above, I can conclude that 64%=64/100=32/50=16/25
Jenny sold 64% of the 200 bracelets.
In mathematics, the word "of" means multiplication.
64% of 200 = 16/25 * 200 = 128
Jenny sold 128 braclets.
to answer part 2, 200 bracelets - 128 bracelets = 72 bracelets.
72 bracelets weren't sold.
ASSESSMENT:
Act as the person in the problem Do the activity. Record your
findings then answer
1. A farmer placed 250 mangoes in a crate, these are 150 ripe and 100 unripe
mangoes, his wife randomly selected 80 mangoes, she got 50 ripe mangoes
and 20 unripe mangoes, find the experimental probability of the mangoes she
selected.
2. A table tennis player has 40 orange table tennis balls, 30 white and 20 yellow
table tennis balls. After selecting 18 balls, he found out that he got 6 white
table tennis balls. Find out the experimental probability of getting white table
tennis table tennis balls.
please answer this
Answer:
in 1st his wife selected 80 mangoes 50 ripe and 20 unripe how it can be
Step-by-step explanation:
50+20=70 not 80
please share the correct question than I may help you
PLEASE HELP ME WILL MARK YPU IF YOU HELP ME
ok check image file in the image is answers with color code
Lydiagrace33
Image attached
A) 1 point Write an inequality for this graph . Use the shift key and the key or key to type the < or > symbol . *
B) Water boils when the temperature is at least 212 degrees F. Which inequality shows this situation ?
C) When the temperature drops below 50 degrees F , crickets usually stop chirping . Which inequality shows this situation ?
D) Explain the difference between the meaning of a closed
circle and an open circle on a graph of an inequality .
Andy's average driving speed for a 4 hour trip was 48 miles per hour. During the first 3 hours he drove 50 miles per hour. What was his average speed for the last hour on his trip.
PLEASE HELP AND SHOW WORK YOU WILL GET BRAINLEST MARK
Answer:
Step-by-step explanation:
Distance = 48 * 4
Distance = 192
~~~~~~~~~~~~~~~
3*50 = 150
192 - 150 = 42
42 MPH for the last hour
Yes i give brainliest
find the equation of common tangent of x²+y²=4ax and y²=4ax.
Step-by-step explanation:
x² +4ax+y² =0
x² +4ax+4a² +y² =4a²
(x+2a) ² +y² =4a² ......(i)
y² =4ax.........(ii)
By tracing the circle and the parabola we can clearly see that they touch each other along the y axis
So the equation of common tangent is x=0.
What is the greatest solution of x in the equation x2 + 8x - 30 = 18?
Enter your answer in the box.
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Subtracting 18, we have the equation ...
x^2 +8x -48 = 0
(x +12)(x -4) = 0 . . . . . factored form
The values of x that make these factors zero are the solutions:
x = -12, x = 4
The greatest solution is x=4.
Answer:
Greatest solution of x = 4
Step-by-step explanation:
x² + 8x - 30 = 18
subtract 18 from both sides
x² + 8 x - 30 - 18 = 18 - 18
x ² + 8 x - 48 = 0
split 8x in middle form
x² + ( 12 x - 4 x ) - 48 = 0
factor out x from the first pair
x ( x + 12 ) - ( 4 x- 48 ) = 0
factor out 4 from the second pair
x ( x + 12) - 4 ( x + 12 ) = 0
x + 12 is common factor
x ( x + 12) - 4 ( x + 12 ) = 0
Group common factor
(x - 4) ( x + 12 ) = 0
When the product of factors equal 0, at least one factor is 0.
x - 4 = 0
x = 4
similarly,
x + 12 = 0
x = - 12
Greatest solution of x = 4