HELP PLEASE. 3(2x+3)=15
If you are solving for X then we have to do a few process
What you would want most is to remove the parentheses, so to do that i would use distributive property
3*2x is 6x and 3*3 is 9 so our new equation will look like
6x+9=15 if you don't understand please tell me
now we must bring the 9 over
If you bring the 9 over than it would become negative
6x=15-9
so 6x=6
and now you can solve the answer is x=1
Answer:
The solution is x = 1
Step-by-step explanation:
3(2x+3) = 15
6x+9 = 15
6x = 15-9
6x = 6
x = 6/6
x = 1
Do all these angles equal 360 degrees?
Answer:
The sum of the interior angles of any quadrilateral is 360 °Step-by-step explanation:
Do all these angles equal 360 degrees?
The sum of the interior angles of any quadrilateral is 360 °
help please!!! need it asap
no wrong answers
Displacement at t = 0 :
x = 4 cos(π (0) + π/4)x = 4 cos(π/4)x = 4 × 1/√2x = 2√2 metersDisplacement at t = 1 :
x = 4 cos (π (1) + π/4)x = 4 cos (π + π/4)x = -4 cos(π/4) [∴ cos is negative in the interval (π, 3π/2)x = -4 × 1/√2x = -2√2 metersDisplacement between t = 0 and t = 1 :
-2√2 - 2√2[tex]\boxed {-4\sqrt{2}}[/tex]∴ The displacement between t = 0 and t = 1 is -4√2 meters.
Answer:
[tex]-4\sqrt{2} m[/tex]
Step-by-step explanation:
Similar question to the previous one you asked, and I swear I will not make the same mistake again :)
First we will find the displacement at t = 0 and t = 1 to find both displacements.
t = 0,
[tex]x(0)=4cos(\pi (0)+\frac{\pi }{4} )=4cos(\frac{\pi }{4} )\\=4(\frac{\sqrt{2} }{2} )\\=2\sqrt{2} m[/tex]
t = 1,
[tex]x(1)=4cos(\pi (1)+\frac{\pi }{4} )=4cos(\pi +\frac{\pi }{4} )\\=4(-\frac{1}{\sqrt{2} } )\\=-\frac{4}{\sqrt{2} }[/tex]
Total Displacement = Final Position - Initial Position
= x(1) - x(0)
= [tex]-\frac{4}{\sqrt{2} } -2\sqrt{2} \\=-4\sqrt{2} m[/tex]
Laila guesses on all 20 questions of a multiple-choice test. each question has 4 answer choices. what is the probability of a success and a failure for this experiment? p (success) = one-fourth; p (failure) = three-fourths p (success) = one-fourth; p (failure) = one-half p (success) = three-fourths; p (failure) = one-fourth p (success) = 1; p (failure) = 0
The probability of a success and a failure is as follows,
P(success) = one - fourth
P(failure) = three - fourth
Definition of Probability
The area of mathematics that deals with numerical representations of the likelihood that an event will occur or that a statement is true is known as Probability. An event's probability is a number between 0 and 1, where, 0 generally denotes the event's impossibility and 1 denotes certainty of that event.
Calculating the Probability
The formula for finding the probability of an event to occur is given by,
P = (favorable outcomes)÷(total number of outcomes)
Now, it is given that each multiple choice question consists of 4 choices.
And, out of these four choices, only one answer is true.
Then, if Laila guesses the answer, the probability of choosing the right answer is given by,
P(success) =1/4
Thus, the probability of choosing the wrong answer will be,
p(failure) = 1 - P(success)
⇒ P(failure) = 1 - (1/4)
⇒ P(failure) = 3/4
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Question 13 of 25
Find f(-2) for f(x) = 2(4)^x
Answer:
the answer is A
Step-by-step explanation:
put it in the calculator
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
When you have a negative exponent like [tex](\frac{a}{b})^{-x}[/tex] you simply take the reciprocal and then the denominator takes the exponent. So it becomes [tex]\frac{b}{a^{x}}[/tex].
So now you simply plug -2 as x. This gives you [tex]2(4)^{-2}[/tex]. and 4 is essentially [tex]\frac{4}{1}[/tex]. So it becomes [tex]\frac{1}{4^2}[/tex] which is [tex]\frac{1}{16}[/tex]. So multiplying it by 2 you get [tex]\frac{2}{16}[/tex]. Which can be written as [tex]\frac{2}{8 * 2}[/tex] so the 2's cancel out and the fraction becomes [tex]\frac{1}{8}[/tex]
How many square meters are there in a floor that is 9 meters long by 14 meters wide?
Answer:
126 sq. meters
Step-by-step explanation:
A = lw
= 9(14)
= 126 sq. meter
Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
334. (9c − 2d)(9c + 2d)
Answer:
The product is the difference of squares is [tex]$$(9c-2d)(9c+2d)=81{{c}^2}-4{{d}^2}$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (9c-2d)(9c+2d).We have to multiply the given expression.Square the first term 9c. Square the last term 2d.[tex]$$\begin{aligned}&(9 c-2 d)(9 c+2 d)=(9 c)^{2}-(2 d)^{2} \\&(9 c-2 d)(9 c+2 d)=81 c^{2}-4 d^{2}\end{aligned}$$[/tex]
(a) Work out
8 × 1/1/1
x
3
Give your answer as a mixed numbers
Answer:
well.. 1/1/1 would be 1.
8 x 3 = 24
24x 1 = 24
sooo the answer would be 24...
Step-by-step explanation:
The product of the given expression 8 × 1/1/1 x 3 would be equal to 24.
What are proper and improper fractions and how to convert mixed fraction to simple fraction?When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.
A proper fraction is also called fraction which is less than 1.
And an improper fraction is ≥ 1
A mixed fraction contains a sum of whole number and a proper fraction.
We know that 1/1/1 would be 1.
So,
8 x 3 = 24
24x 1 = 24
Thus, the answer would be 24.
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Find the value of X:
Answer:
15
Step-by-step explanation:
180-150 = 30
30 = 3x-15
45 = 3x
x = 15
Does this graph represent a function? Why
or why not?
A. No, because it is not a straight line.
• B. No, because it fails the vertical line test.
C. Yes, because it passes the vertical line test.
D. Yes, because it passes the horizontal line test.
Find the equation of the line parallel to y = 2x - 4 that runs through the point (-2, 4).
Answer:
y = 2x + 8
Step-by-step explanation:
Equation of line:Parallel lines have same slope.
y = 2x - 4
Slope = 2
Point (-2 ,4)
Equation of line in point-slope form:
y - y₁ = m(x - x₁)
y - 4 = 2(x - [-2] )
y - 4 = 2(x + 2)
y -4 = 2x + 4
y = 2x + 4 + 4
[tex]\sf \boxed{y = 2x + 8}[/tex]
A store sells cards on each of which there are drawing of different flowers: either roses, either daisies, either tulips, either sunflowers. Each card also has a message "happy birthday!", Happy Holidays". Or "happy anniversary!". What is the greatest possible amount of different cards that this store sells?
The greatest number of different cards based on the permutations is 144.
How to compute the value?From the information given, there are 4 versions which are either roses, daisies, tulips, or sunflowers and this is further divided into either Happy birthday, anniversary, or holidays.
Therefore, the greatest number of different cards will be:
= 4! × 3!
= 24 × 6
= 144
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24. Find the slope and y-intercept of the line.
Y=7/5x-3
Answer:
slope = m = 7/5
y-intercept = b = -3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = 7/5 x - 3
slope = m = 7/5
y-intercept = b = -3
Answer:
7/5 => Slope,-3 => y-intercept,Step-by-step explanation:
If a line's equation has the form y=mx+b, then finding the slope can be done within 2 seconds.
∴ m is the Slope,
and the slope is always multiplied by the x co-ordinate.
b is the y-intercept,
and it's added to the product of the slope and the x co-ordinate.
Both the slope and the y-intercept can be any real number.
∵, slope = [tex]\boxed{\rm{Slope=7/5}}[/tex]
∵, y-intercept = [tex]\boxed{\rm{Y-intercept=-3}}[/tex]
done !!
[tex]\orange\hspace{300pt}\above2[/tex]
Solve each triangle – find any missing side and angle measures. Round answers to the nearest tenth.
Answer:
Step-by-step explanation:
Things we already know:
Angle B = 56 degrees
Angle C = 90 degrees
Side CB = 7 units
We need to find angle A and sides AC and AB.
We know that every triangle has its angles equal to 180 degrees
angle A + B + C = 180 degrees
angle A + 56 + 90 = 180 degrees
angle A + 146 = 180 degrees
subtract 146 from both sides.
angle A = 34 degrees
Now we know angle A.
To find side AC, we can use the tangent of theta.
The hyp (hypothenuse) = AB
The adjacent side = CB
And the opposite side = AC
The tangent of theta is the opposite side divided by the adjacent side.
[tex]tan(56) = \frac{AC}{7}[/tex]
Now we just need to solve for AC.
multiply 7 on both sides, to cancel it out on the right side.
7tan(56) = AC
10.3 = AC
Now we know the side AC.
AC = 10.3 units
To find the hypothenuse, we can use the sine, cosine, or the Pythagorean theorem.
I will choose the Pythagorean theorem, though.
[tex]7^{2} +10.3^{2} =AB[/tex]^2
49 +106.09 = AB^2
AB = 155.09 units^2
AB = 12.4 units
And now we know everything about this triangle.
A = 34 degrees
C = 90 degrees
B = 56 degrees
AC = 10.3 units
CB = 7 units
AB = 12.4 units
Hope I Helped!
This season, Dominic has hit 13 home runs and Mitchell has hit 7 home runs. How many more home runs has Dominic hit than Mitchell?
Answer:
6
Step-by-step explanation:
To answer this simply subtract 7 from 13 to find the answer.
13-7=6
Hope this helps!
If not, I am sorry.
Answer: 6
Step-by-step explanation: i just did the work
How many 3 digit numbers have the following property: Non-negative difference of any two neighboring digits is more than 8?
Answers can be 8, 6, 7, 9, 10
Answer:
7 maybe? (I'm assuming any two neighboring digits is greater than or equal to 8)
Step-by-step explanation:
Ok so it's important to establish which combinations of numbers have a difference of 8+. The most obvious one is (0, 8), and (1, 9), but there's also (0, 9). In my explanation I'll express a three digit number as: [tex]100a+10b+c[/tex] where a, b, and c will form the three digit number. It's important to understand that: [tex]a\ne0[/tex], because if it was 0, then it would be a two digit number, because there would be no hundreds place. So let's start with the (0, 8) combination. a=8 and b=0, and c can have 2 different values. So we get the two numbers: [tex]809, 808[/tex]. Now let's using the (1, 9) which can be rearranged where (a=1, b=9) OR (a=9, b=1) since this combination doesn't have a 0 as one of the values. So let's start with a=1, b=9, this leaves 2 values for c. This gives you the numbers: [tex]190, 191[/tex]. Now let's use the a=9, b=1 combination. This only leaves 1 values for c since 8-1 = 7, meaning c can only equal 9. This gives you the following number: [tex]919[/tex]. Now for the last combination: (0, 9). In this combination a has to be 9, and b has to be 0. This gives you 2 values for c. This gives you the following two numbers: [tex]909, 908[/tex]. Combining all these numbers we get the following numbers: [tex]909, 908, 919, 809, 808, 190, 191[/tex]
I NEED THIS FAST! :(
What was the original price of the sneakers?
Answer:
n=45
Step-by-step explanation:
[tex]n=\dfrac{54.100}{120} \\\\n=45[/tex]
what would not be a step in solving 18=2(4+x)
Step-by-step explanation
Well you gave no answer choices so here are the steps and maybe you can just find out which one isn't here :)
18=2(4+x) first multiply 2 into 4+x
18=8+2x then subtract 8 from the other side
10=2x divide both sides by 2
x=5
Best of luck <3
Select the correct answer. What are the zeros of the graphed function? A polynomial function graph where the solid line intersects X-axis on origin (0, 0), (2, 0) and (4, 0). The same line intersects Y-axis at (0.5, 4) and (3.5, 4) A. 0 and 4 B. -4, -2, and 0 C. 0, 2, and 4 D. -4 and 0
Considering the situation described, the zeros of the function are given by:
C. 0, 2, and 4.
What are the zeros of a function f(x)?The zeros of a function are the values of x when f(x) = 0, and can also be described as the values of x for which the line intersects the x-axis.
In this problem, the line intersects the x-axis at x = 0, x = 2, and x = 4, hence option C is correct.
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Add: -8x8+ (-3x8 + 3)
Answer:
-11x^8 + 3
Step-by-step explanation:
-8x^8 + (-3x^8 + 3)
-8x^8 - 3x^8 + 3
-11x^8 + 3
Let a, b, and c be positive integers that form a geometric sequence. Given that a has 3 factors and c has 9 factors, how many factors can b have, at most?
Answer choices: 14, 9, 6, 8, 10.
DO NOT ATTEMPT IF YOUR NOT 98% SURE
Answer:
9
Step-by-step explanation:
it’s clear that a ,b and c are in geometric progression.
Then we have :
a
b = q×a
c = q²×a
also , b² = a×c
………………………
NOTE : b² and b have the same factors
also ,since b² = a×c then b and a×c
have the same number of factors.
_______________________________
Since c = q²×a then any factor of a is also a factor of c
Which means the number of factors of a×c
is equal to the number of factors of c.
Therefore b at most has the same number of factors as c.
Conclusion:
at most b has 9 factors.
……………………
As a side note :
You can take as example the numbers 3 , 30 , 300.
3 ——-> 1 factor
30 = 3×5×2 ——-> 3 factors
300 = 3 × 5² × 2² ——-> 3 factors
Write an absolute value equation to satisfy the given solution set shown on a number line.
The absolute value equation with the wanted solutions is:
|x| - 1/2 = 0
How to find the absolute value equation?
Here we want to find an absolute value equation such that the solutions are:
x = -1/2 and x = 1/2.
Remember that the absolute value equation always changes the sign, such that the outcome is positive.
This means that:
|1/2| = 1/2
|-1/2| = 1/2
Then a trivial equation with these two solutions is:
|x| - 1/2 = 0
Where the two solutions are x = 1/2 and x = -1/2.
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9 out of 20 students who graduate from J. H. S. of 1,2000 students gained admission to S. H. S. How many students gained admission?
540 students gained admission
How to determine the number of students?The given parameters are:
Students = 1200
Proportion that gain admission. p = 9/20
The number of student that gain admission is calculated as:
Admission = p * Students
So, we have:
Admission= 9/20 * 1200
Evaluate
Admission= 540
Hence, 540 students gained admission
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May someone please help me out please?
Step-by-step explanation:
First, we need to find that top angle, which we'll call angle x. We can say 26 is the hypotenuse, and 12 is the adjacent, so we know that:
[tex] \cos(x) = \frac{12}{26} [/tex]
Let's solve this, to find X:
[tex]x = { \cos }^{ - 1}( \frac{12}{26} )[/tex]
Now that we know what X is, we can use trig to find the missing side, which we'll call y. 48 is the adjacent, and y is the hypotenuse, therefore:
[tex] \cos(x) = \frac{48}{y} [/tex]
To find y, let's rearrange:
[tex]y = \frac{48}{ \cos(x) } [/tex]
And now let's figure out calculate the value of y (I'm leaving the value of X as just X for the equations, but you will need it to calculate first):
[tex]y = 0.767833242[/tex]
Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x² + 3x-5=0
A. x = 1
B. x=-1
C.
D. x==2
E.
F.
x==2
X
=
+√8
x = 3-1
SUBMIT
Step-by-step explanation:
[tex]therefore \: x = 1[/tex]
The roots of the quadratic equation 2x² + 3x - 5 = 0 are [tex]\frac{-5}{2}[/tex] and 1.
A quadratic equation is an equation of the form ax² + bx + c = 0. It is a polynomial with degree 2. In this equation, a is the coefficient of x², b is the coefficient of x, and c is the constant term.
The given quadratic equation is 2x² + 3x - 5 = 0.
Use the quadratic formula, also known as the Shreedharachrya formula to find the roots of the given equation:
[tex]x = \dfrac{-b\ \pm\ \sqrt{b^2-4ac}}{2a}[/tex]
[tex]= \dfrac{-3\ \pm\ \sqrt{3^2-4\times2\times(-5)}}{2\times 2}\\= \dfrac{-3\ \pm\ \sqrt{9+40}}{4}\\\\= \dfrac{-3\ \pm\ \sqrt{49}}{4}\\= \dfrac{-3\ \pm\ 7}{4}[/tex]
[tex]x = \dfrac{-3-7}{4}[/tex] or [tex]x = \dfrac{-3+7}{4}[/tex]
[tex]x = \dfrac{-10}{4}[/tex] or [tex]x = \dfrac{4}{4}[/tex]
[tex]x = \dfrac{-5}{2}[/tex] or [tex]x = 1[/tex].
Hence, the roots of the given quadratic equation are [tex]\frac{-5}{2}[/tex] and 1.
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george drives the first 30 miles of a trip at a constant rate of 40 miles per hour. if he drives the remaining 75 milse of the trip at a constrant rate of 50 miles per hour, what is his average speed for the entire trip
His average speed for the entire trip is 46.6 mph
We have,
30 miles at 40 mph
time taken at this speed = 30/40 = 3/4 hours
..
75 miles at 50mph
time taken = 75/50 = 3/2 hours
Total time taken = 3/4 +3/2 hours=3+6 /4
=9/4 hours
Total distance traveled = 30+75 = 105 miles
Average speed = 105/ 9/4
=105*4/9
46.6 mph is the average speed.
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Which equation represents a line that passes through (–2, 4) and has a slope of 2/5
Equation of a line is given by y - y1 = m(x - x1); where m is the slope.
y - 4 = 2/5 (x - (-2))
y - 4 = 2/5 (x + 2)
Hope this helps! :)
Answer:
Step-by-step explanation:
y = 2/5x + p
We now that passes through (–2, 4)
2/5 × (-2) + p = 4
⇔ -4/5 + p = 4
⇔ p = 4 + 4/5
⇔ p = 20/5 + 4/5
⇔ p = 24/5
⇒ y = 2/5x + 24/5
Can someone help me? It’s 7th grade geometry
The area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²
Calculating the area of a sectorFrom the question, we are to determine the area of the shaded quarter of the circle
The shaded quarter of the circle is a sector.
The area of a circle is given by the formula,
[tex]A = \frac{\theta}{360^\circ}\times \pi r^{2}[/tex]
Where A is the area
θ is the angle subtended
and r is the radius
First, we will calculate the radius of the circle
The radius of the circle equals the length of a side of the square.
From the given information,
Area of the square = 4 cm²
∴ s² = 4 cm²
s =√4 cm²
s = 2 cm
∴ A side of the square is 2 cm in length
Thus,
r = 2 cm
and
θ = 90°
Then,
[tex]A = \frac{90^\circ}{360^\circ}\times \pi \times 2^{2}[/tex]
[tex]A = \frac{1}{4}\times \pi \times4[/tex]
[tex]A = \pi \ cm^{2}[/tex] OR 3.14 cm²
Hence, the area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²
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Evaluate each polynomial when a=3, b=5 , c=10.
1. 10a - 15
2. -5b^3 +7b+10
3. 6abc+ 4a^2
Answer:
15; -580; 936
Step-by-step explanation:
1. 10a-15=10*3-15=15
2. -5b^3+7b+10=-5*5^3+7*5+10=-580
3. 6abc+4a^2=6*3*5*10+4*3^2=936
What is the area of this polygon?
Answer:
51 units²
Step-by-step explanation:
First, split the polygon into two pieces so that the left side is a triangle, and the right side is a rectangle.
Then, find the area of the rectangle. Count how many units the width and the height is. The height is 7 units, and the width is 6 units. Multiply the two measurements to get the area of the rectangle.
7×6=42.
The area of the rectangle is 42.
Now, find the area of the triangle. Count how many units the width and the height is. The height is 6, the width is 3. Use the area of a triangle formula. The formula is:
1/2×b×h
1/2×3×6=3×3=9
The area of the triangle is 9.
Add the areas together to find the area of the total polygon.
42+9=51.
The area of the polygon is 51 units².
Hope this helps!
If not, I am sorry.