None of the given options are matching. For the expression after putting the value 2 on the place of x. We will get 10 for expression 1 and 0 for the expression 2.
How can we find the solution to an equation?
We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
The given equation is;
Equation 1;
[tex]\rm 3x+4[/tex]
Equation 2;
[tex]x+6-3x-2[/tex]
After putting the value 2 on the place of x we get;
Equation 1;
[tex]\rm = 3x+4[/tex]
[tex]=3 \times 2+4 \\ =10[/tex]
Equation 2;
[tex]= x+6-3x-2\\\\\ =2+6-3\times 2-2 \\\\ =2+6-6-2\\\\ =8-6-2 \\\\ = 0[/tex]
Hence, the none of the given options are matching.
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HELP!!!
Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
I'm confused.
$8,966.02 is your answer
Find the circumference of a circle that has a 25-inch radius. Use 3.14 to approximate π.
PLEASE HELP ILL GIVE BRAINLIEST
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]
➣ Circle:- A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).➣ Circumference:- The line that bounds a circle or other two-dimensional figure[tex]{ \rule{70mm}{2.9pt}}[/tex]
★ also circumference of a circle is also known as it's perimeter
➣To find circumference of circle when use formula[tex]{ \boxed{✜\underline{ \boxed{ \sf{\: Circumference \: of \: circle= \: 2\pi \: r}}}✜}}[/tex]
➢ r = radius (25inch.)➢ value of π is 3.14[tex]{ \rule{70mm}{2.9pt}}[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\: Let's\:solve }}}[/tex]
[tex]\sf{➛ \: Circumference \: of \: circle = 2 \times 3.14 \times 25} \\ \sf{➛ \: Circumference \: of \: circle =2 \times 78.5} \\ \sf{➛ \: Circumference \: of \: circle =157inch}[/tex]
★ Hence circumference of circle=157inch
[tex] \large\underline{ \boxed{ \sf{➪\:157inch. }}}[/tex]
[tex]{ \rule{70mm}{2.9pt}}[/tex]
Hope it helps !
Nick bought a new car.
each year the car depreciates in value by 12%.
work out the number of years it takes for the car to half in value.
?
After 5.4 years, the value of the car will be half the initial value.
How many years take for the car to be half in value?
We know that the value decreases by 12% each year.
Then the value of the car can be modeled with an exponential decay, written as:
[tex]V(t) = A*(1 - 12 \% /100 \%)^t = A*(1 - 0.12)^t = A*(0.88)^t[/tex]
Where A is the initial value, and t is the number of years.
The value will be halved when:
[tex](0.88)^t = 0.5[/tex]
We need to solve that, to do it, we can apply the natural logarithm to both sides, so we get:
[tex]Ln(0.88^t) = Ln(0.5)\\\\t*Ln(0.88) = Ln(0.5)\\\\t = Ln(0.5)/Ln(0.88) = 5.4[/tex]
This means that after 5.4 years, the value of the car will be half the initial value.
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Choose all of the following statements that suggest a positive association.
A. The less education a person has, the less money they will likely earn.
B. The less fruits and vegetables a person eats, the lower their risk for cancer.
C. The smaller a person's shoe size, the larger their pant size.
D. The more you study, the more likely you are to earn a better grade.
Answer:
D
Step-by-step explanation:
It is only d because that is the only positive statement.
The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months. what is the life span of an appliance that has a z-score of –3?
Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the parameters are given as follows:
[tex]\mu = 48, \sigma = 8, Z = -3[/tex].
Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-3 = \frac{X - 48}{8}[/tex]
X - 48 = -24
X = 24.
The life span of an appliance that has a z-score of –3 is of 24 months.
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Answer:
Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.
Normal Probability Distribution
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
The z-score measures how many standard deviations the measure is above or below the mean.
Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the parameters are given as follows:
.
Hence:
X - 48 = -24
X = 24.
The life span of an appliance that has a z-score of –3 is of 24 months.
Which of the following is not a valid probability?
A. 1.3
B. 0
C. 0.4
D. 1
Answer:
A 1.3
Step-by-step explanation:
probabilities lie between 0 and 1 and cannot be more or less
Pls help! I'm a bit confused!!
Answer:
Step-by-step explanation:
So whenever you see alphabets in math, these are called variable. Like the word suggests, variables can have different values depending on the problem.
For the first problem, the variable k equals 10, and the question asks you when k=10, what does that make k+26. All you do is substitute the value of k with the given value of k=10, and you get 10 + 26 = 36.
This way you can solve the rest of them.
Ask me if you get confused and we can work on rest of them.
Answer:
36529412.5112Step-by-step explanation:
Q1
k = 1010 + 2636Q2
n = 134(13)52Q3
a = 27 and b = 327/39Q4
x = 63(6) - 1418 - 144Q5
z = 2(2)² + 8.54 + 8.512.5Q6
x = 4 and y = 84(36 - 8)4(28)112When analyzing the relationship in non-linear data as a linear association, when should the strategy of ignoring outliers be used?
If ignoring half of the data points allows the remaining data to be represented by a curved line.
If ignoring one or two data points allows the remaining data to be represented by a straight line.
If ignoring half of the data points allows the remaining data to be represented by a straight line.
If ignoring one or two data points allows the remaining data to be represented by a curved line.
x+x2 +2=44 solve the equation quick
Answer:
x=10.5 or x=6=x=−7
Step-by-step explanation:
x+x^2+2=44
x+x(x)+2=44
2x(x)+2=44 1. -2 on both sides
2x^2=42
2x(2x)=42
4x=42 2. /4 on both sides
x=10.5
Answer:
x = -7, 6.
Step-by-step explanation:
x+x2 +2=44
x^2 + x - 42 = 0
(x - 6)(x + 7) = 0
x =-7, 6
PICKING BRANILIEST HELP WITH 1
Answer:
1. x=37
2. x= 50
Step-by-step explanation:
Add up the two angles you already have, 43+100 and then subtract from 180.
180-143= 37
Do the same thing for number 2.
Add up 99+31, which is 130
The subtract from 180
180-130=50
The equation for triangles is x + (the angle measures) = 180
Hope this helps <3
A date is picked at random on the calendar for april. what is the probability that the date chosen will be on a two digit odd number
Answer:
1/3
Step-by-step explanation:
That is the simplified version of the number of all the double-digit odd days (11,13,15,17,21,23,25,27,29), 10, over the total number of days in April, 30
10/30=1/3
Cereal costs $.19 per ounces. How much does 15 oz of cereal cost?
Avery just got hired for a new job and will make $55,000 in her first year. avery was
told that she can expect to get raises of $1,500 every year going forward. how much
money in salary would avery make in her 18th year working at this job?
Avery's salary after 18 years will be equal to $82000.
What is the salary?The amount of money paid by any company to their employees on monthly basis is called salary.
Given that:-
Avery just got hired for a new job and will make $55,000 in her first yearAvery was told that she can expect to get raises of $1,500 every year going forward.The amount of salary taken by Avery in her 18th year will be:-
Per year incrememnt = $1500
So total increment in 18 years will be = 1500 x 18 = $27000
Total salary in 18th year will be = 55000 + 27000 = $82000
Therefore Avery's salary after 18 years will be equal to $82000.
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There are eight swimmers in a competition where the top three swimmers advance. in how many ways can three swimmers advance?
The number of ways in which three swimmers can advance is 56.
What is a combination?The combination is the selection of items without taking the order of arrangement into consideration.
The formula used in calculating the combination is:
[tex]\mathbf{C(n,r) = \dfrac{n!}{r!(n-r)!}}[/tex]
[tex]\mathbf{C(n,r) = \dfrac{8!}{3!(8-3)!}}[/tex]
[tex]\mathbf{C(n,r) = \dfrac{8\times 7\times 6 \times 5!}{3!(5)!}}[/tex]
[tex]\mathbf{C(n,r) = 8\times 7}[/tex]
C(n, r) = 56
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How much profit did jamie make if he sold 87 tickets
Step-by-step explanation:
profit= revenue - cost
profit = 2(87)-69.80
=174-69.20=104.8 R
Create a cylinder with a height of 6 cm and a radius of 10 cm. notice the volume calculation is 1,885.0 cm3. drag the orange dot to double the cylinder’s height. what do you notice about the new volume compared to the original volume?
The volume of the cylinder will be equal to V=1885 cubic cm.
What is volume?The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The cylinder is the right circular object with some height like bamboo, bottles, rods etc all are cylinders.
The formula for calculating the volume of the cylinder is given as:-
V=πr²H
Here we have the radius of the cylinder r= 10 cm and the height of the cylinder is H=6 cm
V= π x (10)² x 6
V=1885 cubic cm.
Hence the volume of the cylinder will be equal to V=1885 cubic cm.
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Answer:
It doubled
Step-by-step explanation:
Got 100%
How many balloons are in the air if there are 20 ballons and 5 pop how many are left
Answer:
15 balloons
Step-by-step explanation:
20 - 5 = 15
hope this helps:)
Answer:
15 ballons
Step-by-step explanation:
Vincent bought a movie ticket with a promo of free pizza, popcorn and a drink. How many possible meals can vincent choose from given that there is 8 flavors of pizza, 4 flavors of popcorn and 3 kinds of drinks?
A. 15
B. 56
C. 72
D. 96
Answer:
D. 96
Step-by-step explanation:
Using the Multiplication Principle, we multiply the number of choices for each item together:
[tex]8 \cdot 4 \cdot 3 = 96[/tex]
Water flows through a pipe at a rate of 620 gallons every 5.5 minutes. Express this rate of flow in cups per second.
Answer: 16 cups per second.
Step-by-step 5.5 minutes into seconds 320.
620 gallons into cups 9920.
9920 divided by 320 seconds.
16 cups per second
Find the value of x of a octagon with a degree of (16x+23)
A story or an account of a personal experience that illustrates the central idea of a text is a(n) ______. A;anecdote B;statistic C;satire
For a charity initiative, 420 t-shirts were made; in the morning 1/3 of the t-shirts is sold and in the afternoon 4/7 of the remaining ones. How many shirts are left to sell at the end of the day?
1/3 * 420 = amount of t-shirts sold in the morning
1/3 * 420 = 420/3 = 140 t-shirts
140 t-shirts were sold, so remaining is 420 - 140
420 - 140 = 280 remaining t-shirts
4/7 * 280 = amount of t-shirts sold in the afternoon
4/7 * 280 = (280/7) * 4 = 40 * 4 = 160 t-shirts
160 t-shirts were sold, so remaining is 280 - 160
the remaining t-shirts = 120 t-shirts
120 t-shirts are left to sell at the end of the day
The G.C.D of the three number and their L.C.M is 900. Two of the number are 60 and 150. what are the other possible numbers
8x+21=3 need the answer please
Answer:
[tex]x=-\frac{9}{4}[/tex]
Step-by-step explanation:
Step 1: Subtract 21 from both sides
[tex]8x + 21 = 3[/tex]
[tex]8x + 21 - 21 = 3 - 21[/tex]
[tex]8x = -18[/tex]
Step 2: Divide 8 from both sides
[tex]8x = -18[/tex]
[tex]\frac{8x}{8}=-\frac{18}{8}[/tex]
[tex]x=-\frac{9}{4}[/tex]
Answer: [tex]x=-\frac{9}{4}[/tex]
The school library is (3x - 4) metres long and (2x - 3) metres wide. Find the floor area of the library in:
a) terms of x
b) square metres if x = 4
Answer:
40 meters
Step-by-step explanation:
x=4
3x-4=12-4
2x-3=8-3
12-4=8
8-3=5
8x5=40
rewrite the formula p=2L+2w
Darion picks 16 grapefruits off
a tree in his backyard. He puts
4 grapefruits in each bag. How
many bags does he need?
Answer:
he would need 4 bags
Step-by-step explanation:
16 divided by 4 is 4
you can count by 4 to find your answer
I will mark brainlist to whoever answers first
Answer:
its D
Step-by-step explanation:
i did the math ez
Answer:
C) ∠V , ∠U , ∠W
Step-by-step explanation:
The smallest angle is opposite to the smallest side.
Sides in ascending order: WU < VW < UV
Angles in ascending order: ∠V < ∠U < ∠W1. Which of the following measures would NOT produce a triangle? Choose all that apply.
three sides: 3 cm, 5 cm, and 7 cm
three sides: 5 cm, 7 cm, and 9 cm
three sides: 5 cm, 9 cm, and 15 cm
three sides: 3 cm, 5 cm, and 10 cm
Answer:
I believe the answers are :
5 cm, 9cm, and 15 cm
3 cm, 5 cm, and 10 cm
Step-by-step explanation:
When 2 sides that are not the hypotenuse are added and are less than the hypotentuse, a triangle cannot be formed.
PLSS HELP I NEED THIS ASAP!!
Answer:
b) 95 degrees
Step-by-step explanation:
Remember that the internal angles of a triangle add up to 180°.
Solving :
45° + 40° + ∠x = 180°∠x + 85° = 180°∠x = 95 degreesLet that angle be x
Apply angle sum property
x+45+40=180x+85=180x=180-85x=95°