Answer:
k = 3/13
Step-by-step explanation:
7k-3=6k
3 = 6k + 7k
13K = 3
k = 3/13
Determine if this quadrilateral is a parallelogram. Justify your answer.
Answer:no
Step-by-step explanation:
the properties for a parallelograms are
opposite angles are equalopposite sides are equaldiagonals bisect each othersum of any two adjacent angles is 180we can conclude that the quadrilateral is not a parallelogram because it only has one pair of opposite sides that are equal. (the dashes through the sides show they are congruent to each other)
g(n) = 1 + 5(n - 1)
Complete the recursive formula of g(n).
g(1) =
g(n) = g(n-1)+
Answer:
Hi... U should do like this
The recursive formula will be g(n) = g(n-1) + 5
What is recursive formula ?"A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:
The first term of the sequence.
The pattern rule to get any term from its previous term.
Recursive Formula for Arithmetic Sequence
The recursive formula to find the nth term of an arithmetic sequence is:
an = an-1 + d for n ≥ 2
where
an is the nth term of a A.P.
d is the common difference."
Given,
[tex]g(n) = 1 + 5(n-1)[/tex]
Let the remaining term be x
Now,
[tex]g(n) = g(n-1) + x 1 + 5(n-1) = 1 + 5(n - 1 - 1) + x\\\\ 1 + 5n - 5 = 1 + 5n - 10 + x \\\\x = 5[/tex]
So, [tex]g(n) = g(n-1) + 5[/tex]
And, [tex]g(1) = 1 + 5(1 - 1) + 5[/tex]
[tex]g(1) = 6[/tex]
Hence, [tex]g(1) = 6[/tex] and [tex]g(n) = g(n-1) + 5[/tex]
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The length of the day in Lagos, Nigeria (in minutes), ttt days since the beginning of the year can be estimated by this formula: \qquad L(t) = 727+22\sin \left(\dfrac{2\pi (t - 80.75)}{365}\right)L(t)=727+22sin( 365 2π(t−80.75) )L, left parenthesis, t, right parenthesis, equals, 727, plus, 22, sine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 80, point, 75, right parenthesis, divided by, 365, end fraction, right parenthesis. When is the longest day of the year? Give an exact answer.
Answer:
The longest day of the year is day 172
Step-by-step explanation:
Since the length of day is L(t)=727+22sin[2π(t−80.75)/365], the maximum length of day is obtained when sin[2π(t−80.75)/365] is at its maximum value which is 1. So. sin[2π(t−80.75)/365] = 1
We now solve this to find the day at which this maximum value occurs.
sin[2π(t−80.75)/365] = 1
[2π(t−80.75)/365] = sin⁻¹(1)
[2π(t−80.75)/365] = π/2
dividing both sides by 2π/365, we have
[2π(t−80.75)/365] ÷ 2π/365 = π/2 ÷ 2π/365
t−80.75 = 365/4
t−80.75 = 91.25
t = 91.25 + 80.75
t = 172
The longest day of the year is day 172
Answer:
172
Step-by-step explanation:
Keep in mind, that when graphed one of the "tallest" points is 172,749. Using this, you'll find that 172 is the tallest
Help me fast please i’ll give 20 points
Answer: C
You can use the formula x = -b / 2a to find the axis of symmetry.
how do I answer this please help homework due tomorrow x
Answer:
63.6 m^2
Step-by-step explanation:
A = (pi)r^2
r = d/2 = 9 m / 2 = 4.5 m
A = (3.142)(4.5 m)^2
A = 63.6 m^2
1. Carisa is going to play outside with her friends. She is going to randomly pick a ball to play with out of the
garage. There is a soccer ball, a basketball, a baseball, and a football. What is the probability she is going to
pick the basketball or the soccer ball?
Answer:
50% chance
Step-by-step explanation:
if there are four balls there is a 50% chance she will pick the basket ball or the scoccer ball. Hope this helped.
Which of these is an example of typing at an average rate of 42 words per minute?
Select one
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
very very sorry for the late response wish i could have seen this earlier
Step-by-step explanation:
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
Will mark as brainliest ❤️
Answer:
is just a "place-holder" or "variable.
If
f
x
=
x
+
7
then (using a different variable)
f
(
t
)
=
t
+
5
or
using a constant
f
(
x
)
=
5
+
7
Since
5
+
7
=
12
for the given example
f
(
5
)
=
12
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
The question is not complete, so i have attached it.
Answer:
Options A, B & E are correct
Step-by-step explanation:
In the synthetic division attached, we see that:
: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12
: The divisor is 3
Thus;
x = 3 is a root of f(x) = 2x² - 2x - 12
Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12
- Now, from the attached image, the coefficients of the quotient are 2 , 4
- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)
The degree of the dividend will be 2 since it contains x²
Thus, the degree of the quotient will be 1
Therefore, the quotient in factor form is (2x + 4)
Looking at the given statements in the options;
- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12
- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12
- Option C is not true because the factor is (x + 3) and not (x - 3)
-Option D is not true because the root is 3 and not -3
- Option E is true because we have established that quotient as a factor is: (2x + 4)
Thus, the correct options are A , B , E
can someone make my day and explain this to me
Answer:
Step-by-step explanation:
Remark
The first step is the critical one. Take the base and raise it to x. Then take the log of the base and the number whose log you need. x (the power)is brought down and the logs divided.
2^x = 1024
log 2^x = log(1024)
x log(2) = log(1024)
x * 0.30102 = 3.0102
x = 30102/0.30102
x = 10
You could use the e system to solve this as well
2^x = 1024
ln(2^x) = ln(1024)
x * ln(2) = ln(1024)
x 0.6931 = 6.9315
x = 6.9315/0.69315
x = 9.999959
x = 10
Write an equation for the line in the given form.
slope is 5 and (-4, 8) is on the line; point-slope form
Answer:
Y =5x + 12
Step-by-step explanation:
You start with
y-8=5x(x+4)
y=5x+ 12
Which of the following side-angle relationships in △ABC are true? Select all that apply.
A. The largest angle is opposite the smallest side.
B. The smallest angle is opposite the largest side.
C. The smallest angle is opposite the smallest side.
D. The largest angle is opposite the largest side.
The true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
What are a triangle's properties?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The properties of a triangle are:
Three sides, three angles, and three vertices make up a triangle.A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.Any two triangle sides can add up to a length that is longer than the third side.The greatest side of a triangle is the side that faces the largest angle.Any exterior angle of the triangle is equal to the sum of its interior opposite angles. This is called the exterior angle property of a triangle.Therefore, the true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
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(√3+5)(√3-1) How do u solve it?
Answer:
4.93
Step-by-step explanation:
Use calculator
Mark me as brainliest
Answer:
[tex]4\sqrt3-2[/tex]
Step-by-step explanation:
[tex](\sqrt3+5)(\sqrt3-1)\\\\3+5\sqrt3-\sqrt3-5\\\\4\sqrt3-2[/tex]
Hope this helps, please award brainliest! Have a nice night.
9x - 4 = 5x - 4 + 4x
Answer:
X = 1
Step-by-step explanation:
HOPE THIS HELPS
am i answering the same question over and over again?
whatever
PLZ MARK BRAINLIEST
Please help me Find X:
Answer:
x=50
Step-by-step explanation:
since all the angles of a triangle when added equal 180 we are going to have an equation like this:
180=102+28+x
180=130+x
so to find the value of x we have to subtract the final number by the value already given to us so something like:
180-130
which equals 50
A carnival charges $8 to enter and $3 per ride. Fill in the table of values for the total cost for a person to enter and go on 0 to 5 rides
Answer:
Look at the picture
Step-by-step explanation:
For 0 rise it would just be eight dollars
Can you please help me
Answer:
0.5
Step-by-step explanation:
The slope of the line is 1/2, so the answer is 0.5
Someone please help me, please
I need number 10 if you can get 11 then could you help me with that too?
If it is correct I will give a Branliest!!!
Answer:
10. 3 musicians
11. a) 10 feet
b) can't read all of it
Step-by-step explanation:
Answer:
#10 should be 3
Step-by-step explanation:
[tex]\frac{6\sqrt{3} }{7\sqrt{8} }[/tex]
help
state the multiplicity for each root
[tex]3(x^{2} + 5)^ {2} ( {x}^{2} - 25)^{3} (x - 8)^{4} = 0[/tex]
state the multiplicity for each root
Answers:
The two complex or imaginary roots [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex] have multiplicity 2.The two real roots x = 5 and x = -5 have multiplicity 3The root x = 8 has multiplicity 4======================================================
Explanation:
We'll use the zero product property to solve.
[tex]3(x^2+5)^2(x^2-25)^3(x-8)^4 = 0\\\\(x^2+5)^2=0 \text{ or } (x^2-25)^3=0 \text{ or } (x-8)^4 = 0\\\\x^2+5=0 \text{ or } x^2-25=0 \text{ or } x-8 = 0\\\\x^2=-5 \text{ or } x^2=25 \text{ or } x = 8\\\\x=\pm\sqrt{-5} \text{ or } x=\pm\sqrt{25} \text{ or } x = 8\\\\x=\pm i\sqrt{5} \text{ or } x=\pm 5 \text{ or } x = 8\\\\[/tex]
where [tex]i = \sqrt{-1}[/tex]
----------------------
The notation [tex]x=\pm i\sqrt{5}[/tex] breaks up into [tex]x=i\sqrt{5} \text{ or } x=-i\sqrt{5}[/tex]. The multiplicity of these two roots is 2 as it's the exponent of the factor [tex](x^2+5)^2[/tex]. Focus on the outermost exponent.
The notation [tex]x = \pm 5[/tex] becomes [tex]x = 5 \text{ or } x = -5[/tex]. The multiplicity of these two roots is 3 since it's the outermost exponent of the factor [tex](x^2-25)^3[/tex]
And finally, the multiplicity of the root x = 8 is 4 because it is the outermost exponent of the factor [tex](x-8)^4[/tex]
Solve for n.
n - 26 = -13
n =
Answer:
n= 13
Step-by-step explanation:
.................
Answer:
n=13
Step-by-step explanation:
because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer
Lauren drew a tower using only similar quadrilaterals.
Which statement about the quadrilaterals must be true?
O The quadrilaterals have corresponding angles that are congruent.
0 The quadrilaterals are all the same size and shape.
O The quadrilaterals are different shapes but the same size.
O The quadrilaterals have corresponding sides that are congruent.
Answer:
B. The quadrilaterals are all the same size and shape.
Step-by-step explanation:
Lauren was drawing a tower ONLY using SIMILAR quadrilaterals, so since that is, since the quadrilaterals are similar, then they must have the same size and shape.
The statement i.e. true for quadrilaterals should be
B. The quadrilaterals are all the same size and shape.
What are quadrilaterals?A quadrilateral refer to the closed shape also it is the type of polygon that comprises of four sides, four vertices, and the four angles. Here the sum of the interior angle should be equivalent to the 360 degrees.
Therefore, we can conclude that the second option is correct.
hence, the rest of the options are wrong.
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Which point is on the graph of f(x)= 5^x
A. (1, 5)
B. (0, 0)
C. (5, 1)
D. (0, 5)
Answer:
B
beacuse f and x are f -5 and x 5
A holiday costs £1900. Work out the
price after a 9% discount.
Answer:
$1729
Step-by-step explanation:
[tex]\frac{100-9}{100} * 1900[/tex]
Answer:
1729
Step-by-step explanation:
1900 divided by 100 is 19
1% equals 19
1 times 9 equals 9
19 times 9 equals 171
171 = 9%
171 - 1900 = 1729
price after a 9% discount is 1729
3 (1 - x)=2 (-4x + 7)
Solve for X.
Answer:
x = 11/5
Step-by-step explanation:
3-3x = -8x +14
5x = 11
x= 11/5
a. 320 km in 5 hours is a rate of ______ per hour.
b. 48 books bought for $360 is at the rate of _______ per book.
c. If 900 litres of water flows through a tap in 2 hours, it is the rate of _____ per minute.
d. Richard works for 10 hours and is paid $145. His rate of pay is _____ per hour.
e. 5kg of peas cost $12.58, which equals _____ per kg.
Answer:
a. 64
b. 7.5
c. 7 min 5 sec
d. 14.5
e. 2.52
The rate per hour is known as the average speed.
Average speed = total distance / time
320 / 5 = 64 km / hr
The rate per book is the cost of one book.
Cost of one book = total cost of the book / number of books bought
$360 / 48 = $7.50
The rate per minute = total litres / total minutes
900 / (2 x 60)
900 / 180 = 5 litres per minute
Rate pay per hour = total amount earned / total hours worked
$145 / 10 = $14.50 per hour
Cost per kg = total cost of the peas / total weight of the peas
$12.58 / 5 = $2.52 per kg
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describe the slope of the line and then find the slope.
Answer:
-4/3
Step-by-step explanation:
The line is decreasing so the slope will be negative. The slope formula is [ y2-y1/x2-x1 ].
-1-3/1-(-2)
-4/3
Best of Luck!
Solve 4x + 1 = 3 – 2x
Answer:
x = 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
4x + 1 = 3 - 2x
Step 2: Solve for x
Add 2x on both sides: 6x + 1 = 3Subtract 1 on both sides: 6x = 2Divide 6 on both sides: x = 1/3Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(1/3) + 1 = 3 - 2(1/3)Multiply: 4/3 + 1 = 3 - 2/3Add/Subtract: 7/3 = 7/3Here we see that 7/3 does indeed equal 7/3.
∴ x = 1/3 is a solution of the equation.
Answer:
x=1/3
Step-by-step explanation:
4x+1=3-2x
Add 2x to both sides
6x+1=3
Subtract 1 on both sides
6x=2
x=2/6
9 ft=_____ in Do y'all know the answer to this plz help me out plz and thanks
Answer:
108
Step-by-step explanation:
As 1 foot = 12 inches, 9 foot = 12*9 = 108.
Hope this helps! :)
Answer:
The answer is 108. 1 foot equals 12 inches. So, you just need to multiply 9 by 12. 9 x 12 = 108.