Answer:
b is the answer
Step-by-step explanation:
Solve it and take y in right hand side
Please explain how to solve this
The solution to the variables are x = 7 and y = 4
How to determine the solution to the variables?From the question, we have the following parameters that can be used in our computation:
Shape = Triangle
The marks on the triangles imply that
The visibly smaller triangle is an equilateral triangleThe other triangle is an isosceles triangleSo, we have the following representation
3x - 5 = 5y - 4
3x - 5 = y + 12
Substitute 3x - 5 = y + 12 in 3x - 5 = 5y - 4
y + 12 = 5y - 4
Evaluate the like terms
4y = 16
So, we have
y = 4
Substitute y = 4 in 3x - 5 = y + 12
3x - 5 = 4 + 12
So, we have
3x = 21
This gives
x = 7
Hence, the values are x = 7 and y = 4
Read more about triangles at
https://brainly.com/question/14285697
#SPJ1
Please urgent
please solve
Answer:
1
Step-by-step explanation:
steps are in picture.Ignore hand writing
amy eans £10 per hour. she gets a raise, and her new hourly rate is £11.5. what is the percentage change in her hourly rate?
Answer:
The percentage change is 15%
Step-by-step explanation:
Can I have brainliest?
what is 9- 3/1/3 + 1 ?
Answer:
1
Step-by-step explanation:
There are 1/3•9=3, so 3÷1/3=9.9-9=00+1=1The value of the expression 9 - 3/1/3 + 1 will be 1.
What is Mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 9 - 3/1/3 + 1
Now,
Solve the expression as;
The expression is,
⇒ 9 - 3/1/3 + 1
⇒ 9 - 3 × 3 + 1
⇒ 9 - 9 + 1
⇒ 1
Thus, The value of the expression 9 - 3/1/3 + 1 will be 1.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
PLease help, this is due tomorrow by 1 pm.
Note that the parameters of the graph a and graph b are given below.
Graph A - y=2(x-1)²
See graph attached.
Graph B - y = 1/2x² + 3
Vertex: The vertex of the function is (0, 3).
Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.
Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).
Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.
Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.
0 = 1/2 x² + 3
Subtracting 3 from both sides, we get:
-3 = 1/2 x²
Multiplying both sides by -2, we get:
6 = -x²
Taking the square root of both sides, we get:
x = ±√(-6)
Since the square root of a negative number is not a real number, the function has no real roots.
Minimum or maximum value: The minimum value of the function is 3.
Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.
Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.
Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.
See graph attached.
Learn more about graphs at:
https://brainly.com/question/17267403
#SPJ1
what is the greatest number that can divide 13,17 and 21 and have one as a remainder
Answer:
4
Step-by-step explanation:
this is the same question as what number can divide
13-1 = 12, 17-1 = 16 and 21-1 = 20 and has 0 remainder ?
the greatest number that can do that is 4.
we can easily see that, but formally, let's do prime factorization :
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 2 no
3 ÷ 3 = 1 finished
12 = 2×2×3
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1 finished
16 = 2×2×2×2
20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 2 no
5 ÷ 3 no
5 ÷ 5 = 1 finished
20 = 2×2×5
so, the largest common factor is the combination of the longest streaks per factor they have in common.
they only have 2s in common.
and the longest common streak is 2×2 = 4.
hence the answer
y=100000(0.25)^8 exponential decay
y=100000(0.25)^8 exponential decay is 1.526.
How to find the exponential decay?The formula represents exponential decay with a decay factor of 0.25 and an initial value of 100,000. To evaluate the formula, you can simply substitute 8 for the variable x (since the formula has y in terms of x) and calculate the result:
y = 100000(0.25)^8
y = 100000(0.00001525878906)
y ≈ 1.526
Therefore, the value of y for x = 8 is approximately 1.526. This means that after 8 units of time, the initial value of 100,000 has decayed to around 1.526.
Learn more about exponential decay
https://brainly.com/question/27822382
#SPJ1
Simplify
The following equations
Answer:
Step-by-step explanation:
Answer:
a) 6ab
b) c^6
c) 10y^7
d) 12g^4h^5
Step-by-step explanation:
a) 3 × a × 2 × b = 3 × 2 × a × b = 6ab
b) c^5 × c = c^(5 + 1) = c^6
c) 2y^4 × 5y^3 = 2 × 5 × y^4 × y^3 = 10y^(4 + 3) = 10y^7
d) 3gh^2 × 4g^3h^3 = 12g^4h^5
simplify the following equation
m³+2m³=
Answer
3m³
In-depth explanation
First of all, this isn't an equation, because an equation must have an equal sign that shows that both sides are equal to each other.
m³ + 2m³ is an expression. Keep in mind the difference between the two.
So here we can add like terms :
m³ + 2m ³
3m³
Therefore, the answer is 3m³
Answer:
m³+2m³=3m⁶
Step-by-step explanation:
m³+2m³
note
+=×
->÷
if you have a plus sign,the powers multiply
if you have a division sign, the powers divide
formula
m³+2m³
3×3=6
m+2m=3m
3m⁶
How do I divide a fraction?
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed
Answer:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Step-by-step explanation:
Which situation is best modeled by an exponential function with time as the
independent variable?
A. an investment that takes 2 years to increase in value by $50 and
10 years to increase in value by $250
B. an investment that increases by a constant factor of 1.03, or at a
rate of 3%, every year
OC. an investment that increases by $30 every year
D. an investment that increases by $1 every 2 weeks
An investment that takes 2 years to increase in value by $50 and
10 years to increase in value by $250 situation is best modeled by an exponential function with time as the independent variable
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find the exponential function with time as the independent variable.
Exponential growth refers to the original value from the range increases by the same percentage over equal increments found in the domain.
an investment that takes 2 years to increase in value by $50 and
10 years to increase in value by $250
an investment that increases by a constant factor of 1.03, or at a
rate of 3%, every year
an investment that increases by $30 every year
an investment that increases by $1 every 2 weeks
Hence, an investment that takes 2 years to increase in value by $50 and
10 years to increase in value by $250 situation is best modeled by an exponential function with time as the independent variable
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Ringani worked overtime to raise a total amount R30 000.00 to settle his student debt. If he has deposited R8 500.00 yearly into an account earning 7,04% interest per year compounded annually. How long, rounded to one decimal place did it took her to accumulate the total amount? A. 3.0 years B. 2.4 years C. 2.8 years D. 2.0 years
It took Ringani 2.8 years to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.
To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the time in years
In this case, we have:
P = R8,500.00
A = R30,000.00
r = 7.04% = 0.0704 (in decimal form)
n = 1 (compounded annually)
We want to find the value of t.
Using the formula, we can rearrange it to solve for t:
t = (log(A/P)) / (n * log(1 + r/n))
Substituting the given values, we have:
t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))
Calculating this using a calculator, we find that t is approximately 2.8 years.
Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.
The correct answer choice is C. 2.8 years.
For more questions on Compounded .
https://brainly.com/question/31474686
#SPJ8
Simplify: √64 +225. If the result is not a real number, enter Ø.
Answer:
Step-by-step explanation:
√64+225=8+15=23
or
√(64+225)=√289=17
Dustin is buying carpet for the living room. How many square feet of carpet will he need to buy?
Complete Question:
Dustin is buying carpet for the living room. If the length of the room is 21 ft and the width
is 11 ft, how many square feet of carpet does he need to buy?
Answer:
231 ft²
Step-by-step explanation:
==>GIVEN:
Length of room (L) = 21 ft
Width of room (W) = 11 ft
==>REQUIRED:
Square feet of carpet to be bought = area of the rectangular room
==>SOLUTION:
The room to be covered with carpet is rectangular in shape. In order to ascertain the square feet of carpet to be bought, we need to calculate the area of the room by using the formula for area of rectangle.
Thus, area of rectangle (A) = Length (L) × Width (W)
A = 21 × 11
A = 231 ft²
Square feet of carpet to be bought = 231 ft²
Express your answer as a polynomial in standard form
f(x) = 4x + 5
g(x) = x2 + 4x + 2
Find: f(g(x))
Answer:
f(g(x)) = 4x² + 16x + 13
Step-by-step explanation:
Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.
Definitions:The polynomial in standard form has terms that are arranged by descending order of degree. In the composition of function f with function g, which is alternatively expressed as f ° g, is defined as (f ° g)(x) = f(g(x)).In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).
Solution:Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:
f(x) = 4x + 5
g(x) = x² + 4x + 2
f(g(x)) = 4(x² + 4x + 2) + 5
Next, distribute 4 into the parenthesis:
f(g(x)) = 4x² + 16x + 8 + 5
Combine constants:
f(g(x)) = 4x² + 16x + 13
Therefore, f(g(x)) as a polynomial in x that is written in standard form is: 4x² + 16x + 13.
What is the geometric sequence formula for 1/5, 1/25, 1/125, 1/625, ...
Write the equation of the following circle in general form and standard form. Show your work.
Answer:
I’m coming back to this hold on a sec brotha and be patient
Step-by-step explanation:
How many natural numbers are between 34 and 72? and, how many whole numbers between -2 and 25?
Answer:
There are 37 natural numbers between 34 and 72.
There are 25 whole numbers between -2 and 25.
Step-by-step explanation:
1. Natural numbers between 34 and 72
2. Whole numbers between -2 and 25
1.35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71.
2.0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24.
A report on consumer financial literacy summarized data from a representative sample of 1,669 adult Americans. When asked if they typically carry credit card debt from month to month, 587 of these people responded "yes." Estimate p, the proportion of adult Americans who carry credit card debt from month to month. (Round your answer to three decimal places.)
The answer is 0.351
To estimate the proportion p of American adults with monthly credit card debt, the sample proportion can be used as an estimate. The sample ratio is simply the number of people in the sample with monthly credit card debt divided by the total number of people in the sample.
p hat = 587/1669
p-hat = 0.3511 (rounded to four decimal places)
Therefore, based on this sample, the percentage of adult Americans with monthly credit card debt is estimated to be approximately 0.351. After rounding to three decimal places, its estimate is 0.351.
To know more about proportion visit : https://brainly.com/question/30657439
#SPJ1
What is the meaning of "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}"?
If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.
In other words, there are no other proper subgroups of G besides these two.
The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.
In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
for such more question on prime number
https://brainly.com/question/18187355
#SPJ11
Which of the following are costs of new car purchases
1) sales tax
Purchase price
Extended warranty
Registration fees
All the above
Answer:
All of the above is the answer
Let y = (2 6) and u = (7 1). Write y as the sum of a vector in Span(u) and a vector orthogonal to .
The question is missing. Here is the complete question.
Let y = \(\left[\begin{array}{ccc}2\\6\end{array}\right]\) and u = \(\left[\begin{array}{ccc}7\\1\end{array}\right]\). Write y as the sum of a vector in Span(u) and a vector orthogonal to u.
Answer: y = \(\left[\begin{array}{ccc}\frac{21}{10} \\ \frac{3}{10} \end{array}\right] + \left[\begin{array}{ccc}\frac{-1}{10}\\ \frac{57}{10} \end{array}\right]\)
Step-by-step explanation: The sum of vectors is given by
y = \(y_{1}\) + z
where \(y_{1}\) is in Span(u);
vector z is orthogonal to it;
First you have to compute the orthogonal projection \(y_{1}\) of y:
\(y_{1}\) = proj y = \(\frac{y.u}{u.u}.u\)
Calculating orthogonal projection:
\(\left[\begin{array}{c}2\\6\end{array}\right]\).\(\left[\begin{array}{c}7\\1\end{array}\right]\) = \(\left[\begin{array}{c}9\\6\end{array}\right]\)
\(\left[\begin{array}{c}7\\1\end{array}\right]\).\(\left[\begin{array}{c}7\\1\end{array}\right]\) = \(\left[\begin{array}{c}49\\1\end{array}\right]\)
\(y_{1} = \frac{9+6}{49+1}.u\)
\(y_{1} = \frac{15}{50}.u\)
\(y_{1} = \frac{3}{10}.u\)
\(y_{1} = \frac{3}{10}.\left[\begin{array}{c}7\\1\end{array}\right]\)
\(y_{1} = \left[\begin{array}{c}\frac{21}{10} \\\frac{3}{10} \end{array}\right]\)
Calculating vector z:
z = y - \(y_{1}\)
z = \(\left[\begin{array}{c}2\\6\end{array}\right] - \left[\begin{array}{c}\frac{21}{10} \\\frac{3}{10} \end{array}\right]\)
z = \(\left[\begin{array}{c}\frac{-1}{10} \\\frac{57}{10} \end{array}\right]\)
Writing y as the sum:
\(y = \left[\begin{array}{c}\frac{21}{10} \\\frac{3}{10} \end{array}\right] + \left[\begin{array}{c}\frac{-1}{10} \\\frac{57}{10} \end{array}\right]\)
0.000487 in scientific notation
Answer:
4,87×10⁴ thats the answer:)
Answer:
\(10^{4} x 4.87\)
Step-by-step explanation:
If g(×)=sin(6x)+3 determine g(15°)
Answer:
g=4/15 or 0.2667
Step-by-step explanation:
g(x)=sin(6x)+3
g(15)=sin(6times 15)+3
15g=sin(90)+3
15g=1+3=4
g=4/15 or 0.2667
The required value of trigonometric function g(×)=sin(6x)+3 at x =15 is 4.
A function g(×)=sin(6x)+3 is given, value of g(15°) is to determine.
These are the equation that contains trigonometric operators such as sin In algebraic operation.
Here,
The function given is g(×)=sin(6x)+3.
to find g(15°) put x = 15 in the trignometric function in order to get the solution.
⇒ g(×)=sin(6x)+3
⇒ x = 15
⇒ g(15) = sin(6 x15) +3
⇒ g(15) = sin°90 + 3
⇒ g(15) = 1 + 3 (sin°90 = 1)
Thus, the required value of trigonometric function g(×)=sin(6x)+3 at x =15 is 4.
Learn more about trigonometry equations here:
https://brainly.com/question/22624805
#SPJ2
how many square feet of of outdoor carpet will we need for this hole?
Answer:
To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.
Our length is 2ft, since it's a rectangle the other side is 2ft as well.
The width is 3ft, and the other half is 3ft.
So, basically to get the area of the hole, it'd be 3*2=
Which, it's 6sq ft.
Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3
What is the difference between the sum of the measures of the interior angles in an octagon and the sum of the measures of the interior angles in a
hexagon?
540 degrees
180 degrees
360 degrees
720 degrees
PLS ANSWER IF YOU KNOW!!!
which could be a possible root of 3x4 10x3 9x2 40x 12 0
\(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\) is the possible root
What is a root ?
Mathematicians refer to a number as having a root if it can be multiplied by itself to give the original number. The square root of 49, for instance, is 7, as 77=49. 7 is referred to as the square root of 49 in this instance because it takes 49 to multiply 7 by itself twice. Considering that 333=27, the cube root of 27 is 3.
Quadratic equation's roots The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.
3x^4 -10x^3 -9x^2 + 40x - 12
=\(\left(3x-1\right)\frac{3x^4-10x^3-9x^2+40x-12}{3x-1}\)
=\(\left(3x-1\right)\left(x^3-3x^2-4x+12\right)\)
= \(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\)
To learn more about root from the given link
https://brainly.com/question/428672
#SPJ4
if 6 pomegranates weighed 9 pounds how many pounds would you expect 1 pomegranate to weigh
Answer:
1.5 pounds
Step-by-step explanation:
6/9 = 1/x (cross multiplication)
= 1.5
What is the inverse of p>q
Inequalities help us to compare two unequal expressions. The inverse of p>q is p<q.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the inequality that p is greater than q, therefore, the inverse of it will be p smaller than q. Thus, The inverse of p>q is p<q.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ1
Two angles of a quadrilateral measure 252° and 63°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?
The sum of the interior angles of a quadrilateral is 360°. We can use this fact to find the measures of the other two angles.
Let x be the measure of one of the two angles in the 2:3 ratio. Then, the measure of the other angle is 3x (since the two angles are in a ratio of 2:3).
We know that:
252° + 63° + 2x + 3x = 360°
Simplifying this equation, we get:
5x + 315° = 360°
5x = 45°
X= 9°
Therefore, one of the angles has a measure of 2x = 18°, and the other angle has a measure of 3x = 27°.
Answer:
The 4 angles of the quadrilateral are : 252, 63, 18 and 27
Step-by-step explanation:
252 + 63 + 2x + 3x = 360
315 + 5x = 360
5x = 45 ( 360-315 )
x = 9
Therefore, 1st angle = 2x = 18
2nd angle = 3x = 27