Answer:
\(2(x - 3) + 1 = 7 \\ 2(x - 3) = 7 - 1 \\ 2x - 2 \times 3 = 6 \\ 2x - 6 = 6 \\ 2x = 6 + 6 \\ 2x = 12 \\ x = \frac{12}{2} = 6 \\ x = 6 \\ thank \: you\)
Answer:
here,
2[x-3]+1=7
or, 2x-6=7-1
or,2x=6+6
or,x=12/2
hence the value of x =6
can anyone solve this?
Answer:
Using the height theorem:
\(n^2=8*4=32=>n=4\sqrt{2}\)
Now we can easily use the pythagorean theorem:
\(8^2+(4\sqrt{2})^2 =64+32=96=>m=\sqrt{96} =4\sqrt{6}\)
Which answer choice below describes an equation?
A
7 - X
B
x is 10 times greater than y
3
+n
5
D
Six times a number
b
x is 10 times greater then y 3+n 5
Kaleigh wants to buy a car that costs $17360. She deposits $14,000 in a savings account that earns 8% simple interest. How long was Kaylee leave the money in the savings account to be able to buy the car?
Answer:
Kaylee must leave the money in the savings account for 3 years.
Step-by-step explanation:
Given that Kaylee wants to buy a car that costs $ 17,360, and she deposits $ 14,000 in a savings account that earns 8% simple interest, to determine how long was Kaylee leave the money in the savings account to be able to buy the car must be made the following calculation:
14,000 + (14,000 x 0.08 x X) = 17360
1,120X = 17,360 - 14,000
X = 3,360 / 1,120
X = 3
Therefore, Kaylee must leave the money in the savings account for 3 years.
Need help will give brainliest and 5 stars! :)
To write the given equation in logarithmic form, we can use the definition of logarithms. The equation 10^m = w can be rewritten as a logarithm with base 10: log10(w) = m
How to write in log formThe general relationship between exponents and logarithms is as follows:
base^(exponent) = result
In logarithmic form, it's written as:
log_base(result) = exponent
For our given equation, 10^m = w, we have:
base = 10
exponent = m
result = w
Applying the general logarithmic relationship, we write:
log10(w) = m
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An angle measures 6º less than the measure of its complementary angle. What is the
measure of each angle?
___ and ___
Answer:
The measure of each angle is:
48° y 42°
Step-by-step explanation:
Complemenary angles sum 90°
then:
a + b = 90°
a = b - 6
∴
(b-6) + b = 90
2b - 6 = 90
2b = 90+6
2b = 96
2b = 96
b = 96/2
b = 48°
a = b-6
a = 48 - 6
a = 42°
Check:
42° + 48° = 90°
Pls help with this question. No links.
Answer:
i hope it's helpful for youFactor the following and then fill in the blanks. 2x²7x-15 = (2x + )(x- Blank 1: Blank 2:
Answer:
(2x + 3)(x - 5)
Step-by-step explanation:
2x² - 7x - 15
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 15 = - 30 and sum = - 7
the factors are - 10 and + 3
use these factors to split the x- term
2x² - 10x + 3x - 15 ( factor the first/second and third/fourth terms )
= 2x(x - 5) + 3(x - 5) ← factor out (x - 5) from each term
= (2x + 3)(x - 5) ← in factored form
Blank 1 is 3
Blank 2 is 5
Hi please help on question! . If answer is correct I'll rate you five stars a thanks and maybe even brainliest! You will even get 39 pts!!
Here is a function machine.
Input : multiply by 6. Subtract 80: output
The input is the same as the output. Find the input.
Also can you please show me an easy to work out these type of questions
The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.
The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:
Output = (6 * x) - 80
The problem states that the input and output are the same. Therefore, we can set up the equation:
x = (6 * x) - 80
To solve for x, we'll rearrange the equation and isolate the variable:
x - 6 * x = -80
Combine like terms:
-5 * x = -80
Divide both sides by -5:
x = (-80) / (-5)
Simplifying the division:
x = 16
Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.
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See the image below. I asked the question before but I guess it was confusing.
Answer:
A=19
B=1
C=9
D=8
E=27
F=10
G=17
H=7
Please help me ASAP I’ll mark Brainly
$18.50 + $6.75x=
and then for 4 hours it would be $45.50
I need help with this probelm please
graph y = 6/5x - 6/5
The ordered pairs are (1,0), (2,6/5),(3,12/5)
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The equation as y = 6x/5 - 6/5
putting (1,0) in the equation we get 6×1/5-6/5=0
Similarly we can find the ordered pair as y = 6/5x - 6/5
Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)
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Complete the number sentence to solve. Enter the answer in simplest form.
Three students share 4 granola bars equally.
How many granola bars does each student get?
4+ 3
=
Each student's share is
granola bars.
Answer:
They each get 1 and 1/3 (one third). Do 4 (granola bars) divided by 3 (students) to get 1.33.
Answer:
Step-by-step explanation:
Round 3.25 miles to the nearest 0.1 mile
Answer:
3.3 miles
Step-by-step explanation:
not much to explain other than: round up 'cause of the 5!
Which value of x will make ab perpendicular to cd?
Answer:
Step-by-step explanation:
m∠CGE = m∠FGD = (2x + 4)° [vertically opposite angles]
If m∠BGC = 90° Or AB⊥CD,
m∠CGE + m∠EGB = 90°
(2x + 4)° + (11x - 5)° = 90°
13x - 1 = 90
13x = 91
x = 7
This isnt the answer but its an example of what the equation looks like
Written expression for (9x5)+(24-9)
Help me
See the picture
I’m giving brainliest
Answer:
hello i already answered a question extremely similar to this from you. could you let me know what you do not understand? i will try and explain it better.
Step-by-step explanation:
slope intercept form is y=mx+b
where m is the slope and b is the y intercept.
the way to find the slope is to do y2-y1/x2-x1
we can select any two points from the line.
i selected (0, 8) and (2, 5)
we subtract 8-5 and 0-2
we get 3/-2 which is -3/2
now we have found the slope.
the y intercept is the point that x=0. which is 8 in this line.
our final equation in slope intercept form is y=-3/2x+8
Consider functions f and g. What is the value of x when (g x f)(x) = 4
By applying the definition of functions and composition between two functions, we find that (g ° f) (x) = 4 when x is equal to 6. (Correct choice: B)
How to find the result of composition between two functionsLet be f and g functions, there is a composition of f in terms of g when the input of the former is output of the latter. Hence, we have the following relationships:
g(x):
- 2 → 4
f(x):
6 → - 2
By applying the definition of functions and composition between two functions, we find that (g ° f) (x) = 4 when x is equal to 6. (Correct choice: B)
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What are the solutions to the equation 0=|3x+3|+3
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
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NEED HELP !!!!!!!!!!!!!!!!!!!!
The two constants of proportionality for the relationship between distance in kilometers and number of hours are:
k = 50.
k = 1/50.
Another equation that relates d and t in this context is t = k/50.
What is a proportional relationship?In Mathematics, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:
d = kt
Where:
d represents the distance in kilometers.t represents the time in hours.k is the constant of proportionality.From the information provided, an an equation that represents this situation is d = 50t. Therefore, the first constant of proportionality (k) is given by:
Constant of proportionality (k) = 50.
Next, we would determine the constant of proportionality (k) assuming distance is inversely proportional to time and then write another equation as follows:
d = 1/t
t = k/d
t = 1/50 × d
t = k/50
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The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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4. Which value of x makes the equation true? 0.4(5 - 2x) = 3 -0.6(x - 1)
Step-by-step explanation:
What is the sum of the interior angle measures of a polygon that has eleven sides ? Hint :Sum = (n-2)180
Answer:
n=11
Step-by-step explanation:
(11-2) 180
9×180=1620
HELP me with this pls
Answer:
1/3 × 4/3
Step-by-step explanation:
because
if a/b ÷ c/d
the behind one > c/d >must change to > d/c
so a/b × d/c
Find the missing side length and angles of ABC given that m B = 137º, a = 15, and c = 17. Round to the nearest tenth.(Find angles A and C and side b)
Given the triangle ABC and knowing that:
\(\begin{gathered} a=BC=15 \\ c=AB=17 \\ m\angle B=137º \end{gathered}\)You need to apply:
• The Law of Sines in order to solve the exercise:
\(\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}\)That can also be written as:
\(\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}\)Where A, B, and C are angles and "a", "b" and "c" are sides of the triangle.
• The Law of Cosines:
\(b=\sqrt[]{a^2+c^2-2ac\cdot cos(B)}\)Where "a", "b", and "c" are the sides of the triangle and "B" is the angle opposite side B.
Therefore, to find the length "b" you only need to substitute values into the formula of Law of Cosines and evaluate:
\(b=\sqrt[]{(15)^2+(17)^2-2(15)(17)\cdot cos(137\degree)}\)\(b\approx29.8\)• To find the measure of angle A, you need to set up the following equation:
\(\begin{gathered} \frac{a}{sinA}=\frac{b}{sinB} \\ \\ \frac{15}{sinA}=\frac{29.8}{sin(137\degree)} \end{gathered}\)Now you can solve for angle A. Remember to use the Inverse Trigonometric Function "Arcsine". Then:
\(\frac{15}{sinA}\cdot sin(137\degree)=29.8\)\(\begin{gathered} 15\cdot sin(137\degree)=29.8\cdot sinA \\ \\ \frac{15\cdot sin(137\degree)}{29.8}=sinA \end{gathered}\)\(A=\sin ^{-1}(\frac{15\cdot sin(137\degree)}{29.8})\)\(m\angle A=20.1\degree\)• In order to find the measure of Angle C, you need to remember that the sum of the interior angles of a triangle is 180 degrees. Therefore:
\(m\angle C=180º-137º-20.1\degree\)Solving the Addition, you get:
\(\begin{gathered} m\angle C=180º-137º-20.1\degree \\ m\angle C=22.9\degree \end{gathered}\)Therefore, the answer is:
\(undefined\)A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume g = 9.8 m/s2.)
(a) Find the distance (in meters) of the stone above ground level at time t.
h(t) = 13.92
(b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.)
s
(c) With what velocity does it strike the ground? (Round your answer to one decimal place.)
m/s
(d) If the stone is thrown downward with a speed of 6 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
s
a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.
b) It takes approximately 13.93 seconds for the stone to reach the ground.
c) The stone strikes the ground with a velocity of approximately 136.04 m/s.
d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.
When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.
First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:
h(t) = h0 + vt + 0.5at²
where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.
Using the given values, we can plug in the numbers and simplify:
h(t) = 950 + 0t + 0.5(9.8)t²
h(t) = 950 + 4.9t²
To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:
0 = 950 + 4.9t^2
t^2 = 193.88
t ≈ 13.93 seconds
To find the velocity at which the stone strikes the ground, we can use the formula:
v = v₀ + at
where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:
v = 0 + 9.8(13.93)
v ≈ 136.04 m/s
Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:
h(t) = 950 - 6t + 0.5(9.8)t²
0 = 950 - 6t + 4.9t²
t² - 1.22t - 193.88 = 0
t ≈ 16.75 seconds
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what is the slope of the line
Answer:
i think zero but i suck at slope
Step-by-step explanation:
pew pew
8,998.1 The 9 in the hundreds place is _____ the value of the 9 in the tens place.
Answer:
dicksuck21
Step-by-step explanation:
carlos borrowed 26,000 for 5 years at an APR 5.25% what will his monthly payment be?
Answer:
$568.75.
Step-by-step explanation:
Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.
1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?
2. What responsibility did Brennan and Maureen have to discuss the will with their parents?
3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?
1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.
2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.
3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.
1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.
2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.
3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.
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