Answer:
(f + g)(x) = x - 7
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= - 3x - 5 + 4x - 2 ← collect like terms
= x - 7
Directions: Indicate the FOIL for the problem:
(3x-2)(2x-3) First
Answer:
[tex]6x^{2} +9x -4x+6\\[/tex]
Step-by-step explanation:
First you take 3x times 2x since its the first of both equations, which will give you 6x squared.
Then take the outer ones of both problems which is 3x times 3 which is 9x.
Then the inner, -2 times 2x which is -4x
Then the last of both individual problems which is -2 times -3 which is positive 6.
Plss help which is the same value as 20% of 45??
Answer:
A, B and D
Step-by-step explanation:
Answer:
Answer B , D , E
Step-by-step explanation:
Indicate the formula for the following conditions.
P(X|Y) =
The conditional probability formula is P(X|Y) = P(X and Y)/P(Y)
How to determine the formula?The conditional formula is represented as:
P(A|B) = P(A and B)/P(B)
In this case:
A = X
B = Y
So, we have:
P(X|Y) = P(X and Y)/P(Y)
Hence, the conditional probability formula is P(X|Y) = P(X and Y)/P(Y)
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solve for b.
ab + c = d
1. b = (d - c)/a
2. b = a + c/d
3. b = a/(c - d)
Answer:
1. b=(d-c)/a
Step-by-step explanation:
make me a brainlist
A right triangle is shown. The other 2 angles are 45 degrees. The length of the hypotenuse is 24 inches.
The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?
12 in.
12 StartRoot 2 EndRoot in.
24 in.
24 StartRoot 2 EndRoot in.
The length of one leg of the right triangle is h = 12√2 inches
How to find the length of the leg of a right triangle?The length of a right triangle can be found as follows;
sin 45 = opposite / hypotenuse
Therefore,
hypotenuse = 24 inches
Hence,
sin 45 = h / 24
h = 24 sin 45
h = 24 × 1 / √2
Therefore,
h = 24 / √2 × √2 / √2
h = 24√2 / 2
h = 12√2 inches
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Answer: B. 12√2 inches
Step-by-step explanation: TRUST ME!!! Answer correct on Edge!!! :)
If you have a jar with 25 red marbles and 15 blue marbles, if you choose one marble at random, how likely is it that you will get a red marble?
Step-by-step explanation:
25 (divided by 5) 5
__ = __
40 (divided by 5) 8
[tex]|\Omega|=25+15=40\\|A|=25\\\\P(A)=\dfrac{25}{40}=\dfrac{5}{8}=62.5\%[/tex]
URGENT:Two publishers have offered Dr. Spencer Lewis, a noted dietician, a deal on his new book Don't Dig Your Grave with Your Knife and Fork. The first has offered to pay him $50,000 up front and a $3 royalty for every book it sells. The second has offered to pay $20,000 up front and a $5 royalty for every book it sells. Over what range of sales will Dr. Lewis make more from the deal with the second company than he will from the deal with the first?
The range of sales Dr. Spencer Lewis must exceed to profit the most from the second deal is 15,000 sales.
How to find the range of sales that favors Dr. more with the second deal?To find the range that will benefit Dr. Spencer Lewis the most with the second deal, we must perform the following operation:
A. X × 5 + 20,000B. X × 3 + 50,000We must replace the X with several numbers and buy the result, when the result of operation B exceeds the result of operation A, it means that it will be more profitable.
According to the above, if we replace the X with 15,000, the values will be the same, however, each number that we increase will mean a greater profit in agreement B.
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SOMEONE, PLEASE ANSWER THIS!
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
6 is added to the product of 7 and a number.
Answer:
Step-by-step explanation:
Solution
Start with the product
The product is 7*x where x is a number but not specified.
Now add 6
Answer: 7x + 6
This cannot be simplified any more than what it is now.
Represent the following sentences as an algebraic expression:
6 is added to the product of 7 and a number.Explanation -:Assuming:
Let us assume the number as x.6 is added to the product of 7 and a number.
Product : 7 × x = 7x
Now we will add 6.
Add : 7x + 6.
Final Answer:
7x + 6.
[tex] \star\tiny\pmb{spbankingandsscseries} \small\star [/tex]
Many businesses and organizations insist that official communications use professional-looking fonts, such as Times New Roman. Fonts characterized as less professional, such as Comic Sans, should be avoided. A student would like to determine if font choice makes a difference in the average grade on a typed response in English classes. There are currently four English classes available from which the student can collect data, and each class has a similar writing assignment. At the start of the assignment, students are randomly assigned a font, either Times New Roman or Comic Sans, and then complete the assignment. The teachers grade the assignments, and the mean grade for each font is found.
What is the response variable in this experiment?
the font used by each student
the teachers grading the responses
the grade received on each assignment
the length of the student response on the assignment
The Answer is C,c,d,d,b,d,b,c,c,a
The response variable in this experiment is C. the grade received on each assignment.
What is the response variable?The Response Variable is the result of the experiment after manipulating the explanatory variable.
The response variable can also be called the Dependent or Outcome variable.
In research, the researcher develops a question about the response variable.
Thus, the response variable in this experiment is C. the grade received on each assignment.
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You are going to paint a six-sector spinner. There are 4 colors to choose from. How many different ways can you paint the spinner if each color can be used more than once and no two adjacent sectors can be the same color?
Using the Fundamental Counting Theorem, it is found that there are 648 ways to paint the spinner.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, we have that the first sector can be painted in any of the 4 colors, the others until the 5th can be painted in 3 colors(not the adjacent), and the sixth in only 2, as it is adjacent to both the 5th and the 1st sectors, hence:
[tex]n_1 = 4, n_2 = n_3 = n_4 = n_5 = 3, n_6 = 2[/tex]
Hence the number of ways is given by:
N = 4 x 3 x 3 x 3 x 3 x 2 = 648.
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Select the correct answer.
Which equation represents a line that is perpendicular to line PQ?
A line is graphed in an x y plane, where the x and the y axes range from negative 10 to 10 in increments of 2. The line falls through two closed points P (negative 8, 7), and Q (negative 4, negative 5).
A. y=3x-2
B. y=1/3x+4
C. y=1/3x-5
D. y=-3x+6
A perpendicular line to PQ must have a slope equal to 1/3, then the correct options are B and C.
Which equation represents a line that is perpendicular to line PQ?Two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other line's slope.
We know that PQ passes through (-8, 7) and (-4, 5), then the slope of PQ is:
[tex]s = \frac{-5 - 7}{-4 - (-8)} = -3[/tex]
A perpendicular line to PQ must have a slope equal to:
[tex]s' = -(\frac{1}{-3} ) = (\frac{1}{3})[/tex]
So we have two correct options (two lines with that slope) which are options B and C.
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please help
I don't know what im supposed to do.
Answer:
Step-by-step explanation:
You did not post any question and I just retrieved all possible information from whatever is given.
Which of the following lists of ordered pairs is a function?
OA. (0, 2), (4, 2), (0, -4), (4, -2)
OB. (2, 4), (3, 9), (4, 16), (5, 25)
O C. (1, 1), (2, 3), (1, 5), (4,7)
OD. (2, 4), (-2, 4), (3, 9), (-2,-4)
Answer:
OB. (2, 4), (3, 9), (4, 16), (5, 25)
Step-by-step explanation:
none of the points in this ordered pair have the same x-pos. In all the other options, at least 2 of the points have the same x-pos, preventing them from being functions. Therefore, OB is the only right answer.
Please mark brainliest!!!!!!!!17. Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively
. a) Find the height of the smallest tank if the larger is 300cm tall .(4 marks)
The height of the smallest tank if the larger is 300cm tall will be 240cm.
What is the similarity?Similar figures are those figures which are identical in shape, but not necessarily in size.
Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.
We can utilize scale factors because the tanks have comparable shapes.
The scale factor for volume will be given as,
The volume of small tank/volume of big tank = 512000/1000000 = 0.512
Since volume, if the cube so,
Scale factor = [tex](0.512)^{1/3}[/tex] = 0.8
With this scale factor the height of the smaller tank = 300 x 0.8 = 240cm
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Where are my smart friends?? i had r13.00. my mum gave r10.00. my dad gave r30.00. my aunty, my uncle and grandma gave me r100.00. i had another r7.00. how much did i have?
The total amount of money he had is $160.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given :
I had $13.00.
My Mom gave me $10.00.
My Dad gave me $30.00.
My Aunt, My Uncle, and grandma gave me $100.00.
I had another $7.00.
The initial amount of money he had
= $13 + $7
= $20
His Mom gave him $10.00.
So, the total amount of money now he had is:
= $20 + $10
= $30
His Dad gave him $30.00.
So, the total amount of money now he had
= $30 + $30
= $60
So, the total amount of money now he had
= $60 + $100
= $160
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A
Two similar triangles are shown.
R
ST
S
Mark this and return
N
X
Y
ARST was
AZXY.
O rotated
O reflected
O translated
O dilated
Ner
then dilated, to create
Submit
ΔRST was dilated and then dilated, to create ΔZXY.
The correct answer is option D.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The statement "RST and ZXY are similar" means that the two triangles have the same shape but possibly different sizes.
Similarity means that corresponding angles are congruent and corresponding sides are proportional.
Now,
If Triangle RST was dilated to create Triangle ZXY, it means that Triangle ZXY is an enlarged or reduced version of Triangle RST, with the same shape and proportions.
This is because dilation is a transformation that changes the size of a figure while preserving its shape.
Therefore,
Triangle RST was dilated and then dilated, to create Triangle ZXY.
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In the following exercises, solve
636. The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of 29.5 liters with 2000 psi, what is the volume if the tank has a 14.7 psi rating? Round to the nearest whole number
Answer:
When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.
Step-by-step explanation:
The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of litres with psi, what is the volume if the tank has a psi pressure.Calculate the volume to the nearest whole number.Use the given values and calculate the proportionality constant as well as required solution.Step 1 of 2
Write the inversely proportionality relation between the volume and pressure of a gas in container.
[tex]$v \propto \frac{1}{p}$[/tex]
Where volume is represented by v and pressure is represented by p.
Remove the proportionality and place a constant say k.
[tex]$v=\frac{k}{p}$[/tex]
Substitute the given values of nitrogen that v=29.5 and
p=2000 and calculate the value of k from above equation.
[tex]$$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$$[/tex]
Step 2 of 2
Substitute the value p=14.7 and above calculated k value in the equation
[tex]$$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$$[/tex]
i dont know how to solve this
Answer:
22.3
Step-by-step explanation:
By the law of Sines, since angle XYZ is 90 degrees,
[tex]\frac{XZ}{\sin 90^{\circ}}=\frac{YZ}{\sin X} \\ \\ XZ=\frac{1}{0.0448} \\ \\ XZ \approx 22.3[/tex]
Please Help me, Asap, want to get as ahead as possible in math before school starts.
The measure of angle ABD (m∠ABD) is 104°
Calculating the measure of anglesFrom the question, we are to determine the measure of angle ABD
In the diagram,
∠ABC = ∠ABD + ∠DBC
Thus,
m∠ABC = m∠ABD + m∠DBC
From the given information,
m∠ABC = 140°
m∠DBC = 36°
∴ 140° = m∠ABD + 36°
m∠ABD = 140° - 36°
m∠ABD = 104°
Hence, the measure of angle ABD (m∠ABD) is 104°
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Does anyone know the answer? Please help.
Answer:
(0,-2)
Step-by-step explanation:
the answer is (0,-2) because -2 is where the line crosses over the y-axis. If we looked at a graph you would see that the line goes over 0 on the X-axis, which causes the line to touch the y-axis and intercept it at the -2 mark.
An easy way to find the answer for these sorts of questions is to draw out a graph and mark the coordinates on it and draw the line conecting them. Once you've done that you can easily see where the line intercepts on both the y and x axis.
Answer:
(0,-2)
please put brainliest
log 2x + log x = 2
What is the answer
Answer:
x=5[tex]\sqrt{2\\[/tex]
Step-by-step explanation:
Answer:
5 sqrt 2
Step-by-step explanation:
Log 2x + log x = 2
log ( 2x * x ) = 2
log (2x^2) = 2
2x^2 = 100
x^2 = 50
x = sqrt (50) = 5 sqrt 2
Classify the following triangle. Check all that apply.
Answer:
E. Isosceles Triangle
Step-by-step explanation:
It is because it has 2 equal sides and 2 equal angles.
Which set of points includes all of the solutions for y = five halves times x plus three halves?
The set of points which includes all of the solutions for y in the given equation is the set of all real numbers.
What set of points includes all of the solutions for y?The equation given in the task content whose solution set is go be determined is;
y = (5/2)x + 3/2.
It therefore follows that the solution set for.tge equation includes all real numbers as the equation is linear.
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5
Type the correct answer in the box. Use numerals Instead of words. If necessary, use / for the fraction bar.
Mark wants to fence 4 rectangular gardens, each with a length of 9 feet and a width of 4 feet. What is the total length of fencing Mark needs to
surround all 4 gardens?
Mark needs 110
feet of fencing.
If the length of garden is 9 feet ,breadth is 4 feet and Mark need to fence four gardens then the total fencing will be 104 feet.
Given The number of gardens is 4. The length and breadth of a garden is 9 feet and 4 feet.
We have to find total length of fencing Mark needs to surround all 4 gardens. Perimeter is the sum of all the sides of the rectangle. Length of opposite side of rectangle must be equal.
Perimeter of a rectangle=2(l+ b)
perimeter of 1 garden=2(l+ b)
=2(9+4)
=2*13
=26 feet
perimeter of 4 gardens will be 4*26
=104 feet.
Hence the total length of fencing that Mark needs to do is 104 feet.
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The width of a straight racetrack is one tenth of the measurement of its length, the perimeter of the track is 132 meters, what are the dimensions of the length and width of the track?
Step-by-step explanation:
L = 10W
L + W = 132/2 = 66
---
10W + W = 66
W = 6
L = 60
[tex] \sf{\red{Answer}} [/tex]
L = 60 mW = 6 m[tex] \sf{\purple{Step \: \: By \: \: Step \: \: Explanation}} [/tex]
Perimeter = 2(L + W)
132 = 2(L + L/10)
132 = 2(10L/10 + L/10)
132 = 2(11L/10)
132 : 2 = 11L : 10
66 = 11L : 10
66 : 11 = L : 10
6 = L : 10
L = 6 × 10 = 60 mW = L/10 = 60/10 = 6 mf the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of is . If the coordinates of point D are (5 , 5), the equation of line is y = x + .
The equation of the line is y = -7/5x + 56/5
Equation of a lineThe formula for expressing equation of a line is given as y = mx + b
where
m is the slope
b is the y-intercept
Given the coordinates A(8, 0) and (3, 7)
Determine the slope
Slope =7-0/3-8
Slope = -7/5
For the intercept
0 = -7/5(8) + b
b = 56/5
Hence the equation of the line is y = -7/5x + 56/5
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The sum of 2 numbers is 24. one number is 3 times great as the other. what are the 2 numbers?
Step-by-step explanation:
Let the number originally be "x".
Then, According to the question,other number is 3 times [3*] greater as other.
3*x = 3xSum of these two numbers is 24.
ATP, equation'll be :
[tex]x + 3x = 24[/tex]Solving:
[tex]4x = 24[/tex][tex]x = \cfrac{24}{4} [/tex][tex]x = 6[/tex]Therefore,one number[x] is 6.
Other number :
3 × x = 3 × 6 = 18Using Sarai’s measurements, Line 3 must be parallel to Line 5 according to which postulate or theorem?
I need help ASAP please!!
Using Sarai's measurements, Line 3 must be parallel to Line 5 according to (A) Converse of Alternate Exterior Angles Theorem.
Alternate Exterior Angles theorem states that, "If two lines are parallel and they are intersected by same straight line then the alternative exterior angles formed by the figure are equal to each other."
Converse of the above theorem states that, "If two lines intersected by one transverse and formed alternate exterior angles, and if they are equal to each other then that two lines are parallel to each other."
Here in Sarai's measurement we can see that Line 3 and Line 5 are intersected by one straight line and the formed alternate exterior angles both are 65, which shows they are equal to each other.
Hence by Converse of Alternate Exterior Theorem we can say that Line 3 and Line 5 are parallel to each other.
So, Line 3 must be parallel to Line 5 according to Converse of Alternate Exterior Angles Theorem.
Hence Option (A) is correct.
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Solve 2x²+x-4 = 0.
²+1/2
1
2
x² +
23
x + -2
x + 2
Answer:
[tex]x = \frac{-1 \pm \sqrt{33}}{4}[/tex]
Step-by-step explanation:
Hello!
We can solve the quadratic by using the Quadratic Formula.
Standard form of a Quadratic: [tex]ax^2 + bx +c = 0[/tex]
Quadratic Formula: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Given our equation: [tex]2x^2 + x - 4 = 0[/tex]
a = 2b = 1c = -4Plug in the values into the quadratic formula to solve.
Solve the quadratic[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-1 \pm \sqrt{1^2 - 4(2)(-4)}}{2(2)}[/tex][tex]x = \frac{-1 \pm \sqrt{1 + 32}}{4}[/tex][tex]x = \frac{-1 \pm \sqrt{33}}{4}[/tex]The solution to the quadratic is [tex]x = \frac{-1 \pm \sqrt{33}}{4}[/tex].
Find the length of CD shown in red below. Show all work.
PLEASE HELP
Answer:
17.28 cm
Step-by-step explanation:
It is 1/2 of the entire circumference of the circle
= 1/2 * pi * d
= 1/2 * pi * 11 cm = 17.28 cm