Answer:
y = 1
Step-by-step explanation:
-3y + 14 + y = 12
-3y + y + 14 = 12
-2y + 14 = 12
-2y + 14 - 14 = 12 - 14
-2y = -2
-2y/-2 = -2/-2
y = 1
Answer:
y=1
Step-by-step explanation:
Hey There!
So to solve this type of problem we use inverse operations
-3y+14+y=12
step 1 subtract 14 from each side
14-14
12-14=-2
now we have
-3y+y=-2
step 2 combine like terms
-3y+y=-2y
now we have -2y=-2
step 3 divide each side by -2
-2/-2=1
so we can conclude that y=1
x + 6 = 5
Pls help solving this!
Answer:
X=5-6
X=-1
so, the answer is -1
Answer:
\(\boxed{\red{\bf x = -1}} \)
Step-by-step explanation:
Given equation:-
\(\sf x + 6 = 5\)
We need to find the value of x of the given equation.
Solution:-
\(\sf \longmapsto \: x + 6 = 5\)
\(\underline{ \rm \: Subtract \: 6 \: from \: both \: sides : -}\)
\(\sf \longmapsto \: x + 6 - 6 = 5 - 6\)
\( \rm \: Simplify \: The \: \: LHS :\)
\(\sf \longmapsto \: x + 0 = 5 - 6\)
\(\sf \longmapsto \: x = 5 - 6\)
\( \rm \: Now , \: Simplify \: The \: RHS:\)
\(\sf \longmapsto \: x = 5 - 6\)
\(\sf \longmapsto \: x = - 1\)
We can't simplify this equation more.
Hence, the value of x would be -1 .
________________________________
I hope this helps!
\(\huge{\sf :)}\)
In this assignment, you will explore how to find the number of different species of fish in a pond by looking at a random sample of the fish. Which phrase best describes the total number of brook trout in the pond? the population of brook trout the proportion of brook trout the sample of brook trout the population of fish
Answer: A
Step-by-step explanation:
Answer: the answer is A
Step-by-step explanation:
Got it right on edge 2021! Look for your self.
In the book Chances: risk and odds in Everyday Life, author James Burke says that approximately 57% of the general US population wears glasses or contacts. If two people are chosen at random from the US population, what is the probability that both wear glasses or contacts?
Answer:
\(Pr = 32.49\%\)
Step-by-step explanation:
Given
Let E represents the event of wearing glasses or contacts.
So;
\(P(E) =57\%\)
Required
The probability that selected 2 wears glasses
This is calculated as:
\(Pr = P(E)\ and\ P(E)\)
\(Pr = P(E)\ *\ P(E)\)
\(Pr = 57\% * 57\%\)
\(Pr = 0.57 * 0.57\)
\(Pr = 0.3249\)
\(Pr = 32.49\%\)
Fill in the blank with the correct answer choice. A ___________ has exactly one pair of parallel lines. a. square c. trapezoid b. parallelogram d. rectangle Please select the best answer from the choices provided A B C D
Answer: C
Step-by-step explanation:
The rest of the quadrilaterals provided have 2 pairs of parallel lines.
The choice is:
CExplanation:
The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.
Here's what a trapezoid looks like :
\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)
Hence, this makes C the correct choice.What is 5 times 9 divided 5 add 40 subtract 100
Answer:
-51
Step-by-step explanation:
If a picture measures 3 inches by 5 inches and it is dilated by a scale factor of 4, the new dimensions will be ________________________________________.
A. 12 inches by 20 inches
B. 15 inches by 15 inches
C. 7 inches by 9 inches
D. 0.75 inches by 1.25 inches
Answer:
A) 12 inches by 20 inches
Step-by-step explanation:
Dilation of a scale factor means to increase by a factor of 4.
That basically mean multiply the object by 4.
Therefore 3 inches x 4 = 12 inches
And 5 inches x 4 = 20
Which statement is true about compound interest?
The interest is figured on the principal only.
The amount in the account grows slower than with simple interest of the same rate.
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
Compound interest is the interest calculated using the principal and the interest over a period of time.
The statements that are true about compound interest are:
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P \((1 + rn)^{nt}\)
P = principal
r = rate
t = time in years
n = number of times compounded in a year.
We have,
The interest is figured on the principal only.
This is not true because we calculate the compound interest on the interest as well.
The amount in the account grows slower than with simple interest of the same rate.
This is not true because we are calculating the interest on the principal and interest together.
The amount with compound interest will be more than the amount with simple interest.
The interest can be compounded over different time intervals.
This is true because we can have different time intervals such as,
monthly compounded, quarterly compounded, bimonthly compounded, and yearly compounded.
The interest in most banks is not calculated using compound interest.
This is true because banks don't calculate using compound interest.
Thus,
The statements that are true about compound interest are:
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
Learn more about compound interest here:
https://brainly.com/question/13155407
#SPJ2
Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the y-axis.
y
=
11
−
x
,
y
=
0
,
x
=
3
,
x
=
9
Using the shell method, the volume of the solid generated when R is revolved about the y-axis is V= 324π cubic units.
The shell method refers to a method of finding volumes of the solid by decomposing a solid of revolution into cylindrical shells. It is one of the methods to find the volume of the solid. This solid is generated when region R is rotated about an axis or the y-axis. In case it is y-axis then the following formula is used:
V= ∫_a^b▒〖2πx [f(x)-g(x)]dx〗
Where y = f(x), y = g(x), and the interval is considered as [a,b].
The given curves are: y = 11 − x, y = 0, x = 3, x = 9
V= ∫_3^9▒〖2πx [11-x-0]dx〗
V= 2π∫_3^9▒〖(11x-x^2)dx〗
V= 2π[11/2 x^2- 1/3 x^3]
V= 2π[11/2 9^2- 1/3 9^3- 11/2 3^2+ 1/3 3^3]
V= 2π[891/2- 729/3- 99/2+ 27/3]
V= 2π[729/2- 702/3]
V= 2π[396-234]
V= 2π[162]
V= 324π cubic units
Learn more about Shell method:
https://brainly.com/question/14760674
#SPJ4
\(4 \sqrt{(3x}^{3} \)
write in exponential form
Answer:
\(4(3x)^{\frac{3}{2} }\)
Step-by-step explanation:
3 1/3 divided by 1 1/5
Answer:
25/9
Step-by-step explanation:
3 1/3 ÷ 1 1/5
3 1/3 = 10/3
1 1/5 = 6/5
10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9
So, the answer is 25/9
Write the standard form of the equation of the line that goes through the
points of (-3,2) and (0,-1)
Answer: The standard form of the equation of the line that goes through the points of (-3,2) and (0,-1) is x + y = -1,
Step-by-step explanation:
To find the standard form of the equation of the line that goes through the points (-3,2) and (0,-1), we first need to find the slope (m) of the line using the slope formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-3, 2) and (x2, y2) = (0, -1)
m = (-1 - 2) / (0 - (-3)) = -3 / 3 = -1
Next, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where (x1, y1) = (-3, 2) and m = -1
y - 2 = -1(x - (-3))
y - 2 = -x - 3
y = -x - 1
This is the equation of the line in slope-intercept form, where the slope is -1 and the y-intercept is -1. To write it in standard form, we need to move the x term to the left-hand side and write the equation in the form Ax + By = C:
x + y = -1
Therefore, the standard form of the equation of the line that goes through the points of (-3,2) and (0,-1) is x + y = -1.
To learn more about the equation of a line,
https://brainly.com/question/1463082
/////////////////////////////////////////////////
Answer:
341Step-by-step explanation:
We observe the pattern:
1, 5, 13, 25, ..It can be put as:
0 + 1, 1 + 4, 4 + 9, 9 + 16, ..or
0² + 1², 1² + 2², 2² + 3², 3² + 4², ..The nth term is going to be:
(n - 1)² + n²The sum of the 31 terms will be:
N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²or
N = 2(1² + 2² + 3² + ... + 30²) + 31²Use the formula for sum of the first n squares:
1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6The sum N equals:
N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²And the value of N/31 is:
10*31 + 31 = 341Pls help 7th grade math
Answer:
Lucy, Jenny, Dan, Terry
Step-by-step explanation:
A rectangular room is
1.5
times as long as it is wide, and its perimeter is
35
meters. Find the dimension of the room.
The length is :
meters and the width is
meters.
The dimensions of the room are approximately 7 meters by 10.5 meters.
The length is 10.5 meters and the width is 7 meters.What are dimensions?In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.
Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.
The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:
\(\text{Perimeter} = 2(\text{length} + \text{width})\)
Substituting the values we have for length and width, we get:
\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)
Simplifying the equation, we get:
\(\rightarrow35 = 2(2.5\text{x})\)
\(\rightarrow35 = 5\text{x}\)
\(\rightarrow\text{x}=\dfrac{35}{5}\)
\(\rightarrow\bold{x\thickapprox7}\)
So the width of the room is 7 meters.
To find the length, we can substitute x into the expression we have for the length:
\(\rightarrow\text{Length} = 1.5\text{x}\)
\(\rightarrow\text{Length} = 1.5(7)\)
\(\rightarrow\bold{Length=10.5}\)
So the length of the room is 10.5 meters.
To know more about dimensions, click on:
https://brainly.com/question/31677552
DIRECTIONS: Use this information to answer Parts A and B.
Eric lays tile on a floor at a constant rate. He covers a 150-square-foot floor in 3 hours.
Complete the table to show the area Eric can cover in various amounts of time.
Enter the correct answers in the boxes.
The unit rate can be expressed in area covered per hour.
a) The table with the output values is completed on the first image at the end of the answer.
b) The graph of the proportional relationship is given by the second image at the end of the answer.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
He covers a 150-square-foot floor in 3 hours, hence the constant of proportionality is obtained as follows:
k = 150/3 = 50 sq feet per hour.
Then the equation is given as follows:
y = 50x.
Then the numeric values for the table are given as follows:
3 hours: y = 50 x 3 = 150 ft².4 hours: y = 50 x 4 = 200 ft².4.5 hours: y = 50 x 4.5 = 225 ft².5 hours: y = 50 x 5 = 250 ft².6.5 hours: y = 50 x 6.5 = 325 ft².Missing InformationThe problem is given by the image shown at the end of the answer.
More can be learned about proportional relationships at brainly.com/question/10424180
#SPJ1
what is the midpoint between a(2,-2) and B (-3, 2)
Answer:
Midpoint (xM, yM) = (4, 5)
Hope it helps if it does pls give me brainly :)
slope of A=(9,8) B=(-2,0)
Answer: 8/11
Step-by-step explanation:
Slope is given by rise/run or (y_2-y_1)/(x_2-x_1).
(x_1,y_1)=(9,8) and (x_2,y_2)=(-2,0)
So (y_2-y_1)/(x_2-x_1)= (0-8)/(-2-9)=-8/-11=8/11
2
Which fractions are equivalent to ? Choose ALL the correct answers.
4
4
6
4
6
8
6
12
57
Answer:
Step-by-step explanation:
4/4
8/6
4/6
Convert 6 months to years
Answer: 0.500001
Step-by-step explanation: Hope that helps!
I’m stuck on this question
Answer:
312
Step-by-step explanation:
Add the area of each face together
Don't forget the units!
Step-by-step explanation:To find the surface aria, you use the 3 numbers to find the aria of each surface, then add up all the numbers you found.
Let's start by finding the right face (12 by 3). From your picture, we can tell its 12m long, and 3m tall. To find the aria of any face, we multiply the length, times the width.
12 x 3 = 36.
Now let's look at where it says 8m. Since that face is just as tall as the first one, we can tell its 3m tall.
8 x 3 = 24.
We can continue this for the top face.
Since the width of the second face we did is 8m, and the width of the first one is 12m, we can tell that the top one is 8 x 12. (96).
We can do this again for the other 3 sides.
A shortcut i like to take, is to do 3 of the sides, (Like the ones we did) and add them together, then double the sum.
36+24+96=156.
156x2=312.
This shortcut should work, because by adding the aria of half the sides together, we get exactly half the answer.
When doing this, it only works to do 3 different sides. it will not work if you do the same side twice, or a parallel side.
I encourage you to let me know if this method works for you! I hope this helps!
Which is an exponential decay function
F(x)= 0.2
The function F(x)=0.2F(x)=0.2 is not an exponential decay function. It is a constant function where the output value is always equal to 0.2, regardless of the input value xx.
An exponential decay function is typically in the form f(x)=a⋅bxf(x)=a⋅bx, where aa and bb are constants and bb is a value between 0 and 1. As xx increases, the exponential decay function decreases exponentially.
For example, an exponential decay function could be f(x)=0.2⋅(0.5)xf(x)=0.2⋅(0.5)x, where the base 0.50.5 represents the decay factor. As xx increases, the value of the function decreases rapidly.
In summary, an exponential decay function follows the pattern of decreasing values as xx increases, while the function F(x)=0.2F(x)=0.2 represents a constant value regardless of the input xx.
For such more question on exponential
https://brainly.com/question/30241796
#SPJ8
factor and solve
x^2-4x=5
Let’s solve the equation x^2 - 4x = 5 by factoring:
First, we’ll move all the terms to one side of the equation:
x^2 - 4x - 5 = 0
Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:
(x - 5) (x + 1) = 0
Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:
x - 5 = 0 or x + 1 = 0
Solving each equation separately, we find that x = 5 or x = -1.
So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.
Use synthetic division to find the quotient if polynomial P(x) = x³ - 7 x + 6 is divided by x - 2
A) x²+2 x+3
B) x²-2 x-3
C) x²-2 x+3
D) x²+2 x-3
The polynomial function p(x) = x³ - 7x + 6 divided by x - 2 = x² + 2x - 3
Synthetic Division of PolynomialsSynthetic division is a method used to perform the division operation on polynomials when the divisor is a linear factor. One of the advantages of using this method over the traditional long method is that the synthetic division allows one to calculate without writing variables while performing the polynomial division, which also makes it an easier method in comparison to the long division.
We can represent the division of two polynomials in the form:
p(x)/q(x) = Q(x) + R/(q(x))
where,
p(x) is the dividendq(x) is the linear divisorQ(x) is quotientR is remainderThe polynomial function p(x) = x³ - 7x + 6 is divided by x - 2
x³ - 7x + 6 ÷ x - 2 = (x - 1)(x + 3)
x² + 3x - x - 3 = x² + 2x - 3
Learn more on division of polynomials here;
https://brainly.com/question/24662212
#SPJ1
Find the value of 0.2 × 0.45
Answer:
.09
Step-by-step explanation:
Do it like this:
.2 and move the decimal 1 unit to the right.
Do the same thing with .45
You should end up with 2 x 4.5
2 x 4.5 = 9
And now you can put the decimal points back BUT this time you put it back on the .45 side (only applicable in this situation).
Now you have your answer for .2 x .45 now!
Answer:
= 0.09
Step-by-step explanation:
0.2 * 0.45 = 0.09
...
Find the square roots of the number: 25
Answer:
square root of 25 is 5
Step-by-step explanation:
when you take the numbers that multiply together to make 25 which in this case is 5 5*5=25
Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 10x2 −19x + 6, where x is time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
Answer:
(5x − 2)(2x − 3).
Step-by-step explanation:
1. Find the slope of a line passing through the given points
(-4,2) and (5,6)
2. Find the slope of a line passing through the given points
(5,-5) and (7,3)
Step-by-step explanation:
m=differences in y value over differences in x values .
i.e y²-y¹ over x²-x¹
so 1. 6-2/5--4
which will be 4/9
the slope is 4/9 or 0.4
2. 3--5/7-5
which will be 8/2
the slope is 4
∠A ≅ ∠B, ∠C is a complement of ∠A. m∠C = 25°; m∠B =
Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.
If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.
Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.
Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:
∠B + ∠C = 90°.
Substituting the given value, we have:
∠B + 25° = 90°.
To isolate ∠B, we subtract 25° from both sides of the equation:
∠B = 90° - 25°.
Simplifying, we get:
∠B = 65°.
Therefore, the measure of ∠B is 65°.
For more such questions on congruent
https://brainly.com/question/29789999
#SPJ8
ILL GIVE U BRAINLIST OR WHATEVER
The nationwide percentage of Americans who invest in the stock market is usually taken to be 55%. Is this percentage different in Georgia? A survey and analysis among Georgia residents led to a test statistic of 1.75.
(b) What is the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average? (Use 4 decimals.)
Okay, here are the steps to find the p-value:
1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)
2) The test statistic for Georgia is 1.75
3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.
4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).
5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)
6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.
7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.
So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.
Let me know if you have any other questions!
Okay, here are the steps to find the p-value:
1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)
2) The test statistic for Georgia is 1.75
3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.
4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).
5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)
6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.
7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.
So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.
Let me know if you have any other questions!
Question is present in the image
the interception point of y- = (0,-90)
What is interception?An intercept in mathematics is the location on the y-axis through which a line's slope travels. A point on the y-axis where a straight line or a curve crosses it is identified by its y-coordinate. When we enter the solution for a line, y = mx+c, where m is the slope and c is the y-intercept, we get this result. The two types of intercepts are the x-intercept and the y-intercept.
From the question:
\(f(x)=6*10\sqrt{12x+81}\)
\(f(0)=6(0)-\sqrt{12x+81}\)
\(=0-10\sqrt{81}\)
\(=0-90=-90\)
interception point of y- = (0,-90)
To know more about intercept:
brainly.com/question/14180189
#SPJ1
complete question