Answer:
48
Step-by-step explanation:
Reverse solve for a perfect Square
(b/2a)^2=36
(b/2(4))^2=36
(b/8)^2=36
b/8=6
b=48
48 makes the trinomial a perfect square trinomial.
The rectangle below has an area of x2 – 25 square meters and a length of x + 5 meters.
What expression represents the width of the rectangle?
Answer:
Width: x - 5
Step-by-step explanation:
x² - 25
x² - 5²
(x - 5)(x + 5)
Step-by-step explanation:
6x-7y=22
find y when x =-1
Answer:
y=-4
Step-by-step explanation:
4. A deposit of $1000 is made into a savings account that pays 4% annual interest compounded monthly
a. How much money will be in the account after 6 years?
b. How long will it take for the $1000 to double?
Using compound interest, it is found that:
a) $1,270.70 will be in the account after 6 years.
b) It will take 17.53 years for the $1000 to double.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem, the parameters are given as follows:
[tex]A(0) = 1000, r = 0.04, n = 12[/tex]
Item a:
Over 6 years, that is t = 6, thus:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(t) = 1000\left(1 + \frac{0.04}{12}\right)^{12 \times 6}[/tex]
[tex]A(t) = 1270.7[/tex]
$1,270.70 will be in the account after 6 years.
Item b:
This is t for which A(t) = 2P = 2000, hence:
[tex]2000 = 1000\left(1 + \frac{0.04}{12}\right)^{12t}[/tex]
[tex](1.0033)^{12t} = 2[/tex]
[tex]\log{(1.0033)^{12t}} = \log{2}[/tex]
[tex]12\log{(1.0033)} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{12\log{1.0033}}[/tex]
[tex]t = 17.53[/tex]
It will take 17.53 years for the $1000 to double.
More can be learned about compound interest at https://brainly.com/question/25781328
Questions in the picture
Answer:
18
Step-by-step explanation:
Solve the question in steps
(8+36)/11
44/11=4
Now you have 4+7x2
You do multiplication first
4+14=18
Which situation can be represented by the expression 5-85−85, minus, 8?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Zack added 555 cookies to the cookie jar then took 888 cookies from the jar.
(Choice B)
B
Zack took 555 cookies from the cookie jar then took 888 more cookies from the jar.
(Choice C)
C
None of the above
Answer:
a
Step-by-step explanation:
how many other faces are congruent to this one
Answer:
I believe the answer is 1
Step-by-step explanation:
Hope that helps!
Students in Mr. Jacob's class used a number
cube with sides numbered 1 through 6 and a spinner with 4 even-numbered and 4 odd-numbered sections. For each trial, they recorded whether the outcomes for the cube and the spinner were even or odd.
Based on the data in the table, which is closest to the number of times the next 50 trials should result in both the cube and the spinner being even?
A 12
B 25
C 48
D 50
Please explain how you got the answer if you can.. or like a small summary
Answer:
25.
Step-by-step explanation:
the ratio from even to odd is equal. a half chance of getting even 3:6 & 4:8 [ theres 3 even #s on the cube, 3 odds #s on the cube] vice VERSA!! for either even or odd roll. so out of 50, half of 50 is 25. there's a 1:2 chance of even(or in whatever case) 1:2 = 25:50
Someone pls help??????????????????????????????
Please help me 33/2 + 3y/5 = 7y/10 + 15
We are given with an equation in variable y and we need to solve for y . So , now let's start !!!
We are given with ;
[tex]{:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}[/tex]
Take LCM on both sides :
[tex]{:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}[/tex]
Multiplying both sides by 10 ;
[tex]{:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}[/tex]
[tex]{:\implies \quad \sf 165+6y=7y+150}[/tex]
Can be further written as ;
[tex]{:\implies \quad \sf 7y+150=165+6y}[/tex]
Transposing 6y to LHS and 150 to RHS
[tex]{:\implies \quad \sf 7y-6y=165-150}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}[/tex]
y-8=-x solve for y
please show work I'm trying to find the y intercept
Evaluate the expression (9 + 14i) + (7 – 11i) and write the result in the form a + bi.
Answer:
16+3i
Step-by-step explanation:
(9+ 14¡) + (7 - 11¡)
9+ 14¡ + 7 - 11¡
16 + 3i
The volume of a cylinder is 176 π cm and its height is 11 π cm.
What is the length of the cylinder's radius?
Answer:
r = sqrt(16/pi)
Step-by-step explanation:
Cylinder formula = r^2 x pi x height
176 pi/11pi = 16
16 = r^2 x pi
16/ pi = r^2
r = sqrt(16/pi)
which angles are complementary?
Answer:
the fourth
Step-by-step explanation:
Complementary means that the sum of two angels equals to 90°
so LKM and MKN because they're both 45° and the sum is 90°
can you help me put these in order
Answer: ?
Step-by-step explanation:
Select the expression that has a sum of seventy-four hundredths.
A seventy hundredths plus four tenths
B sixty eight-hundredths plus six tenths
C six tenths plus twelve hundredths
D four-tenths plus thirty-four hundredths
Similar Triangles
2. Find the image coordinates of a triangle
with coordinates A(-4,-6), B(-1,5), and C(-2,
7), dilated by a scale factor of 2.
2
A')
Answer:
Step-by-step explanation:
What is 80% of 150? Please help
Answer:
the answer is x=120
Step-by-step explanation:
look at the photo for the mathematical explanation
simplify (6x^2-7x-5)/(3-x)
Answer:
Simplify —
3
Equation at the end of step
1
:
5
(((6 • (x2)) - 7x) - —) - x
3
STEP
2
:
Equation at the end of step
2
:
5
(((2•3x2) - 7x) - —) - x
3
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
6x2 - 7x (6x2 - 7x) • 3
6x2 - 7x = ———————— = ——————————————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
6x2 - 7x = x • (6x - 7)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • (6x-7) • 3 - (5) 18x2 - 21x - 5
———————————————————— = ——————————————
3 3
Equation at the end of step
4
:
(18x2 - 21x - 5)
———————————————— - x
3
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
x x • 3
x = — = —————
1 3
Trying to factor by splitting the middle term
5.2 Factoring 18x2 - 21x - 5
The first term is, 18x2 its coefficient is 18 .
The middle term is, -21x its coefficient is -21 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 18 • -5 = -90
Step-2 : Find two factors of -90 whose sum equals the coefficient of the middle term, which is -21 .
-90 + 1 = -89
-45 + 2 = -43
-30 + 3 = -27
-18 + 5 = -13
-15 + 6 = -9
-10 + 9 = -1
-9 + 10 = 1
-6 + 15 = 9
-5 + 18 = 13
-3 + 30 = 27
-2 + 45 = 43
-1 + 90 = 89
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Adding fractions that have a common denominator :
5.3 Adding up the two equivalent fractions
(18x2-21x-5) - (x • 3) 18x2 - 24x - 5
—————————————————————— = ——————————————
3 3
Trying to factor by splitting the middle term
5.4 Factoring 18x2 - 24x - 5
The first term is, 18x2 its coefficient is 18 .
The middle term is, -24x its coefficient is -24 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 18 • -5 = -90
Step-2 : Find two factors of -90 whose sum equals the coefficient of the middle term, which is -24 .
-90 + 1 = -89
-45 + 2 = -43
-30 + 3 = -27
-18 + 5 = -13
-15 + 6 = -9
-10 + 9 = -1
-9 + 10 = 1
-6 + 15 = 9
-5 + 18 = 13
-3 + 30 = 27
-2 + 45 = 43
-1 + 90 = 89
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
18x2 - 24x - 5
——————————————
3
Step-by-step explanation:
Can you show that this quadrilateral is a parallelogram
Answer:
This is a parallelogram.
Step-by-step explanation:
This figure has two pairs of paralel sides with completely different angles.
help me pleaseeeeeeeeee
Answer:
10 and 11, The square root of 109 is approximately 10.4 and the two consecutive numbers are 10 and 11.
Find the perimeter of the parallelogram with these vertice
(3,5), (-4, 2), (3, 1), (-4,-2)
Answer:
24 is your answer
Step-by-step explanation:
I first brought one side up as the other went down.
Then found the base and the side and added them all to get
8 as base and 4 multiply both by two then add to get 24
hope this helped.
A brainliest is always appreciated.
In ABC, C = 1.2 inches, a = 7.7 inches and ZB=143°. Find A, to the nearest 10th of
an degree.
Answer: 32.2
Step-by-step explanation:
What is the value of 1/4 divided by 1/8
Answer: 2
Step-by-step explanation:
1/4 ÷ 1/8 = 1/4 x 8 = 8/4 = 2
Approximate 14 to the nearest (a) integer and (b) tenth
Answer:
so i don't know the answanswer
Step-by-step explanation:
i son't know go learn
A function is a relation where each input value is assigned to_____one output value
A. exactly
B. less than
C. at least
I'm about to finish 6th grade and I found out that most of the topics we studied and we are still studying are a bit difficult in math, so what topics I must need to know so I get prepared for 7th grade, would you help me please?
I will appreciate it so much.
Answer:
How to succeed in 7th grade
Strive for a deeper understanding of science. Instead of just memorizing facts, students learn to collect data, use the scientific method, and apply this information to compose reports and ask questions.
Express complex meanings through writing. ...
Stay ahead of the curve in math classes.
Step-by-step explanation:
Which equation can be used to find the perimeter of a regular octagon with sides of length 12 m?
Question 1 options:
P = 8 + 12
P = 8(12)
P = 12 ÷ 8
P = 2(8) + 2(12)
Answer: P=8(12)
Step-by-step explanation:
A regular polygon has all sides of equal length, meaning a regular octagon has 8 sides of equal length.
For the inverse variation function y = k/x (where x, k > 0), what happens to the value of y as the value of x increases? a. Increases c. Increases then decreases b. Decreases d. Decreases then increases.
If the value of x increases then the value of y decreases. Then the correct option is B.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
For the inverse variation function
[tex]\rm y = \dfrac{k}{x}[/tex] (where x, k > 0),
We know that the y is inversely proportional to the x.
Thus, if the value of x increases then the value of y decreases.
Therefore, the correct option is B.
More about the function link is given below.
https://brainly.com/question/5245372
Which of the following shows the extraneous solution to the logarithmic equation? log subscript 4 baseline (x) log subscript 4 baseline (x minus 3) = log subscript 4 baseline (negative 7 x 21) x = negative 7 x = negative 3 x = 3 and x = negative 7 x = 7 and x = negative 3
The extraneous solution is the value of the independent variable for which the problem has no solution. x=3 is an extraneous solution.
What is an extraneous solution?
An extraneous solution is a solution that develops from the process of addressing the problem but is not a real solution to the problem, such as an equation.
In order to know the extraneous solution, we need to find the value of x in the given equation,
[tex]\rm log_4(x)+log_4(x-3)= log_4(-7x+21)[/tex]
Using the logarithmic property,
[tex]\rm log_4[x(x-3)]= log_4(-7x+21)[/tex]
Taking the anti-log, we will get,
[tex]x(x-3)= -7x+21\\\\x^2-3x=-7x+21\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x-3)(x+7)=0[/tex]
If we substitute the factors with the 0, we will get the value of x as 3 and -7.
We know that extraneous solutions are those solutions, which when substituted in the initial equation, the equation does not return an equation.
x=3
[tex]\rm log_4(x)+log_4(x-3)= log_4(-7x+21)[/tex]
[tex]\rm log_4(x3)+log_4(3-3)= log_4(-21+21)\\\\\rm log_4(x)+log_4(0)= log_4(0)[/tex]
As the value of logₐ(0) is undefined, therefore, x=3 is an extraneous solution.
Learn more about Extraneous solutions:
https://brainly.com/question/14054707
Answer:
B. x = -3
Step-by-step explanation:
Which of the following statements about JK and JL is true?
Answer: B
Step-by-step explanation:
JK = 6.08
JL = 5.83
using distance formula is √[(x2 – x1)^2 + (y2 – y1)^2].