Find the length of the diagonal for a square that is 6 cm. by 6 cm. Leave answer in simple radical form, if necessary.
please hurry I beg
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
let the diagonal be d
using the pythagoras theorem,
[tex]6^{2} + 6^{2} = d^{2}[/tex]
[tex]d=\sqrt{72}[/tex]
which in radical form is
[tex]6\sqrt{2}[/tex]
Which function vertex form is equivalent to f(x)=x^2+6x+3?
Answer:
y = (x + 3)² - 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² + 6x + 3
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
f(x) = x² + 2(3)x + 9 - 9 + 3
= (x + 3)² - 6 ← in vertex form
Which of the following are necessary
Step-by-step explanation:
B) opposite sides are congruent !!!!!!
-6d - 4e + 4 + 4d + 6e - 6
Answer:
-2d + 2e - 2
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variable as well as same amount of said variables. Set the expression:
4d - 6d + 6e - 4e + 4 - 6
(4d - 6d) = -2d
(6e - 4e) = 2e
(4 - 6) = -2
-2d + 2e - 2 is your answer.
~
Use Venn diagrams notation to describe the shading of
A
B
Answer:
A ∩ B
Step-by-step explanation:
The shaded part is in common between the two diagrams
We can write this part in this way :
A ∩ B
Lori has 12 1/2 pounds of flour. She needs 1 3/4
pounds of flour
for each batch of cookies. How many batches can Lori make?
Make 'r' the subject of this formula: 3r - 5 = p
Answer:
hey I am not about what the question says but I think this is the answer:
3r=p+5
so the subject is 3r
What is the simplified value of the exponential expression 273?
不
1
Ο Ο Ο
9
Answer:
The answer is 3
For the steps, Im leaving it blank for you to figure it out first.
If you really need help, ask anytime and I'll reply as soon as i can :)
Someone help fast please
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The sequence of payment is geometric , that is
1, 3, 9, ...
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 3 ÷ 1 = 3 , then
[tex]S_{15}[/tex] = [tex]\frac{1(3^{15}-1) }{3-1}[/tex] = [tex]\frac{14348907-1}{2}[/tex] = [tex]\frac{14348906}{2}[/tex] = 7174453 cents and
7174453 ÷ 100 = $71,744.53 → A
A food sample contains 300 bacteria. The doubling time for bacteria left at room temperature is 20 minutes. How many minutes will it take to reach an unsafe level of 100000 bacteria?
Answer:
167.6 minutes
Step-by-step explanation:
The formula is given as:
P(t) = Po × (2)^t/k
Where
P(t) = Population after time t = 100000
Po = Initial population = 300
k = Doubling time = 20 minutes
t = Time = ?
Hence:
100000 = 300 × (2)^t/20
Divide both sides by 300
100000/300 = (300 × (2)^t/20)/300
333.3 = 2^t/20
Take the In of both sides
In 333.3 = In (2^t/20)
In 333.3 = t/20 In 2
Divide both sides by In 2
In 333.3/In 2 =( t/20 In 2)/In 2
8.3806775072 = t/20
Cross Multiply
t = 8.3806775072 × 20
t = 167.61355014 minutes
Approximately = 167.6 minutes
Therefore, the time it will take to reach an unsafe level of 100000 bacteria is 167.6 minutes
I NEED HELP GUYS PLEASE I CANT FAIL AGAIN A translation was applied to square ABCD to form
A'B'C'D.
Which line segment defines the translation?
SHE
ОАС!
y
5
OBD
А
B
4.
O C'B
3
O DA
2-
D
A'
C
B'
-5-4-3-
2
3
4
5
X
D
C
Financial software can do all of the following except ____.
A.
prepare your taxes
B.
apply for loans
C.
keep track of expenses
D.
monitor your savings
Answer: Apply for loans
Step-by-step explanation:
I just took the quiz off gradpoint :) trust me its right!!!!
2 consecutive postive nos are such that the sum of their squares is 113. Find the 2 numbers
Answer:
7,8
Step-by-step explanation:
n^2+(n+1)^2=113; this is the information we are provided in the question.
n^2+n^2+2n+1=113 ; just expanding the numbers
2n^2+2n-112=0 ; moving everything to the same side
n^2+n - 56= 0 ; divide everything by two
(n-7)(n+8)=0 : factor the polynomial
so answers for n are: 7 and -8. since the questions asks for positive numbers -8 cannot be correct.
so n=7
n+1 = 8
if the time is 7:32 what time will it be in 9 hours and 25 minutes?
Answer:
The time would be 4:59
Step-by-step explanation:
For the function Rx) = 1/x+1 which of these could be a value of F(x) when x is
close to -1
O A. -0.01
OB. 0.01
O c. 1
O D. -10,000
Answer:
D. -10000
Step-by-step explanation:
you really need to copy or type the question better.
I can only assume what you really mean.
I guess, you want to say that F(x) = 1/(x+1)
when the value for x gets close to -1, the whole expression gets close to 1/0, which would bring numbers with larger and larger absolute values, leading to infinity.
you also did not say from what direction we are getting closer to -1.
we could come from -2 and move closer and closer to -1.
in this case (x+1) would always be smaller than 0 (negative sign).
or we could come from +1 and then 0 and move towards -1, in which case (x+1) would airways be bigger than 0 (positive sign).
anyway, when being closer and closer to -1, the absolute value of the resulting functional values will get bigger and bigger.
the only answer option with a larger absolute value is D (-10000).
so, that had to be the solution, and it also means that we are coming from -2 to -1, and the sign is negative.
which of the following is a geometric sequence?
Answer:
D
Step-by-step explanation:
notice how everything goes up by 3? that's a sequence.
The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is (1 point)
a
{−1, 1, 3}
b
{−1, −1, 1, 3}
c
{−4, −2, 2, 2}
d
{−4, −2, 2}
The domain is set of all x-values. From an ordered pair (x,y) the domain would be the value of x. That means y-value is clear out since it is not domain but range or co-domain.
Given the set of relations below:
R = {(3,-2), (1,2), (-1,-4), (-1,2)}
The domain would be {3,1,-1} which if we arrange from least to greatest, we'd get {-1,1,3}. Remember that we don't write the repetitive numbers or same two numbers in the set.
Answer
{-1,1,3}The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240. A) Find the first term. B) Find the common ratio. C) Justify your answers by showing steps that demonstrates your answers generate S8=19680 and S4=240.
Answer:
First Term = 6
Common Ratio = 3
Step-by-step explanation:
According to the Question,
Given, The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240 .Thus, [tex]S_{8} = 19680[/tex] & [tex]S_{4} = 240[/tex] .
The Sum of n-term of Geometric Mean is [tex]S_{n} = \frac{a(r^{n-1)} }{r-1}[/tex] Where, r>1 , a=First term of G.P & r=common Ratio .Now, on solving [tex]\frac{S_{8} }{S_{4} }[/tex] we get,
[tex]\frac{19680}{240} = \frac{\frac{a(r^{8-1)} }{r-1}}{\frac{a(r^{4-1)} }{r-1}}[/tex]
[tex]82 = \frac{r^{8}-1 }{r^{4}-1 }[/tex]
[tex]82r^{4}-82 = r^{8}-1\\r^{8}-82r^{4}+81 = 0\\r^{8}-81r^{4}-r^{4}+81 = 0\\(r^{4}-81)( r^{4}-1) =0[/tex](r=1 is not possible so neglect [tex]( r^{4}-1) =0[/tex] )
So, r=3 Now Put this value in [tex]S_{4} = {\frac{a(r^{4-1)} }{r-1}}[/tex] We get a=6 .
D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is:
9514 1404 393
Answer:
9
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AE/AD = EC/DB
(x+3)/(x -1) = x/(x -3)
x^2 -9 = x^2 -x . . . . . . . cross multiply
x = 9 . . . . . . . . . . . add x+9-x^2 to both sides
Lauren uses a calculator to find Three-fourths divided by StartFraction 3 plus 9 over 36 EndFraction and gets a result of Nine-fourths. Which statement best describes her work?
Answer:
11/20
Step-by-step explanation:
Matilda and Lorraine work in the mail room of a large company sorting letters. Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour. Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour.
Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours? How many letters will they have sorted after 6 hours?
A.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 100x + 120. Thus, they will have sorted 720 letters in 6 hours.
B.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.
C.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 130x + 90. Thus, they will have sorted 870 letters in 6 hours.
D.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 30. Thus, they will have sorted 570 letters in 6 hours.
Answer:
B
Step-by-step explanation:
40x + 80
50x + 50
add them together
Carl starts to use the standard algorithm to solve 2,375 × 6. His work is shown below.
What number should Carl replace y with?
(05.02)
Solve the following system of equations: (1 point)
x − 2y = 14
x + 3y = 9
Group of answer choices
(1, 12)
(−1, −12)
(12, −1)
(12, 1)
I will pay for the answer.
Answer:
D
8x^2-12x+5
thanx for youer sug
Answer:
[tex]8x^2-12x+5[/tex]
Step-by-step explanation:
This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.
h(x) = 4x+1 Plug in g(x) equation for x
h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex] Distribute the 4 and simplify
h(g(x)) = [tex]8x^2-12x+5[/tex]
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))
Answer:
f(g(4)) = 213
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 8x + 5
g(x) = 7x - 2
Step 2: Find f(g(4))
Substitute in x [Function g(x)]: g(4) = 7(4) - 2Multiply: g(4) = 28 - 2Subtract: g(4) = 26Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5Multiply: f(g(4)) = 208 + 5Add: f(g(4)) = 213[tex]\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}[/tex]
Here,
f(x) = 8x + 5 and g(x) = 7x - 2,
we have to find the f(g(4))
1st we have to solve the g(x)
g(x)=7x-2g(4)=7(4)-2g(4)=28-2g(4)=26Now substitute the functional value,
f(g(x))=8x+5f(g(4))=8(26)+5f(g(4))=208+5f(g(4))=213.°. The value of f(g(4)) is 213.
Solve 2 ≤ 2x + 4 < 10 for x.
–1 ≤ x < 3
1 < x < 3
–1 < x < 3
1 ≤ x < 3
Answer:
-1 ≤ x < 3
Step-by-step explanation:
2 ≤ 2x + 4 < 10
Subtract 4 from all sides
2-4 ≤ 2x + 4-4 < 10-4
-2 ≤ 2x < 6
Divide all sides by 2
-2/2 ≤ 2x/2 < 6/2
-1 ≤ x < 3
Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and FC intersects AD at H.
B
D
H
E
If m Z B=118 and m2 AHC=138, determine and state m GFH.
Answer:16,284
Step-by-step explanation:
Solve for X
I’ll give BRAINLIEST to the correct answer
Answer:
[tex]x=9.91[/tex]
Step-by-step explanation:
[tex]11x-3=106[/tex]
[tex]+3[/tex] [tex]+3[/tex]
[tex]11x=109[/tex]
[tex]/11[/tex] [tex]/11[/tex]
[tex]x=9.91[/tex]
What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)?
A.) 4x - 5y = 5
B.) 5x + 4y = 37
C.) 4x + 5y = 5
D.) 5x - 4y = 8
Answer: A , 4x - 5y = 5
Step-by-step explanation:
i just did it , duhhh
Answer:
a
Step-by-step explanation:
a telephone pole is 24 feet tall
Answer:i honestly dont know just trying to get points
Step-by-step explanation:
