Answer:
State the initial term.
Find the common ratio by dividing any term by the preceding term.
Substitute the common ratio into the recursive formula for a geometric sequence.
Rewrite the equation by completing the square.
4x² + 20r + 25 = 0
(x+...)^2=...
Answer:
The equation [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex] is equal to [tex]\left(x + \frac{5}{2} \right)^{2} = 0[/tex].
Step-by-step explanation:
Let be the equation [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex], we proceed to rewrite the equation solely by algebraic means:
1) [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex] Given
2) [tex](2\cdot x)^{2} + 10\cdot (2\cdot x) + 25 = 0[/tex] Definition of power/Associative property
3) [tex](2\cdot x + 5)^{2} = 0[/tex] Perfect square trinomial
4) [tex]2^{2}\cdot \left(x + \frac{5}{2} \right)^{2} = 0[/tex] Distributive property/[tex](a\cdot b)^{c} = a^{c}\cdot b^{c}[/tex]
5) [tex]4\cdot (x + \frac{5}{2} )^{2} = 0[/tex] Definition of power
6) [tex]\left(x + \frac{5}{2} \right)^{2} = 0[/tex] Compatibility with multiplication/Commutative and modulative properties/[tex]a\cdot 0 = 0[/tex]
true or false m angle 1 <m angle 7
Answer:
False
Step-by-step explanation:
There might be a chance I am wrong though sorr for the inconvinience
Whenever the test results in NY are given, a study shows that 4.6 in 5 people get at least one B. The rest of the 0.4 people get straight As. If there are 5.4 million people receiving their report card, how many get As? Bs?
Answer:
around 432000 people have straight A's.
around 496800 people have at least one B/B's.
Step-by-step explanation:
[tex]\frac{4.6}{5} = \frac{x}{5400000}\\\\5x = 2484000\\\\\frac{5}{5}x = \frac{2484000}{5} \\x = 4968000\\\\5400000 - 4968000 = 432000\\\\[/tex]
around 432000 people have straight A's.
around 496800 people have at least one B/B's.
What’s the answer help please
Answer:
-3/4
Step-by-step explanation:
Have a nice day
The model below represents the sum of two mixed numbers.
Write an equation that shows the sum represented by the model.
Show your work.
Answer:
hey I am not sure about the answer but I guess this is the right answer:
(x+3)+x
evaluate the algebraic expression for the given values of x = 3 and Y =4 7 x - 2y-1
Answer:
the answer is 12
Step-by-step explanation:
7x-2y-1. x=3. y=4
7×3-2×4-1
=21-8-1
=12
Help me with this really fast
Answer:
quadratic trinomial ..........................
A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the salads sold were Caesar salads, how many total salads did the restaurant sell?
Answer:
50
Step-by-step explanation:
From the circle graph :
Salad sold :
Caesar = 70%
Garden = 16%
Taco = 14%
If 35 of the salad sold were Caesar ;
Then ; this means
70% = 35
Total salad sold %= (70+16+14)% = 100%
Let total sales = x
70% = 35
100% = x
Cross multiply :
70% * x = 100% * 35
0.7x = 35
x = 35 / 0.7
x = 50
what is the value of x to the nearest tenth
Answer:
tan90°=p/b
or,1/0=10/x
therefore x=0
Calculate the arithmetic mean 24, 36, 52, 48, 64, 40.
Answer:
Mean: 44
Step-by-step explanation:
1. 24 + 36 + 52 + 48 + 64 + 40 = 264
2. 264 divided by 6 = 44
(I divided it by 6 because there are 6 numbers (data points).)
Based on a study, a theme park has reported that typical patrons were willing to pay
$64 for admission to the park. In the study, the theme park conducted a survey to
determine how much patrons were willing to pay for admission to the park. The park
asked 10 groups of 100 randomly selected patrons to choose a price from a list of
options. The price chosen most frequently by each group is shown in the table.
Answer:
A and D
Step-by-step explanation:
anyone mind helping me with this problem?
Answer:
x= √65, so B is the answer
I’ll give brainliest
Answer:
C. C = 3P
Step-by-step explanation:
C = total costs
P = number of popsicles
Unit price of 1 popsicle = $3
To get the total cost of popsicles, we need to multiply the number of popsicles bought by the price of each popsicles
Total cost of popsicles = number of popsicles × unit price
Thus, the question would be written as:
C = 3P
help please! no links :)
Answer:
The answer is D-27.00 because you are rounding off to the nearest 100 I hope this helps you
Answer:
C. 26.75
Step-by-step explanation:
26.745 is rounded to 26.75
Write three solutions for the inequality 13 - 8X < -11
Answer:
x > 3
-x < -3
3 < x
-3 > -x
Step-by-step explanation:
-8x < -24
x > 3
-x<-3
The difference of sample means of two populations is 55.4, and the standard deviation of the difference of sample means is 28.1. Which
statement is true if we are testing the null hypothesis at the 95% confidence level?
—ANSWER OPTIONS—
A The difference of the two means is significant, so the null hypothesis must be rejected.
B
The difference of the two means is significant, so the null hypothesis must be accepted.
C
The difference of the two means is not significant, so the null hypothesis must be rejected.
D
The difference of the two means is not significant, so the null hypothesis must be accepted.
Answer:
C. The difference of the two means is not significant, so the null hypothesis must be rejected
Step-by-step explanation:
According to the Question,
Given, The difference of sample means of two populations is 55.4, and the standard deviation of the difference of sample means is 28.1 .
Now, if we are testing the null hypothesis at the 95% confidence level .
Thus, the difference of the two means is not significant at the 95% confidence level, so the null hypothesis must be rejected .I need help comment please
Answer:
41
Step-by-step explanation:
The angle were looking for is on the other side of the figure. It is also on the inside so we would divide 82 in half giving us 41.
What’s the area of the rectangle
Answer:
66
Step-by-step explanation:
You multiply the length and the width. 11 times 6 equals 66
Using the equation for the line of best fit what is a good approximation for x when f(x) =30?
Answer:
48.6
Step-by-step explanation:
Given the equation for the line of best fit ; f(x) ≈ 1.8x − 5.4 ;
This equation is used to make prediction for any given value of x ; Here, we are to make prediction for when x = 30
f(x) ≈ 1.8x − 5.4 ; we substitute into the equation, x = 30
f(30) = 1.8(30) - 5.4
f(30) = 54 - 5.4 = 48.6
Prediction at x = 30 is 48.6
A fair six-sided die is rolled 54 times. Theoretically, how many times should a roll of "5" occur?
-14
-9
There is no way to tell
-5
Answer:
9 times
Step-by-step explanation:
P("5") = 1/6
n("5") = 1/6 × 54 = 9
Answer:
9
Step-by-step explanation:
(the number of different possible outcomes) 1/6 * 54 = 9
Hope that this helps!
Please help, show work! Limits and functions! 85 points!
Answer:
Ok I might misunderstand this but this is what I got ( in order )
solve solve solve solve
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: \: 1 \frac{1}{15} \:(or) \: 1.0667}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{4}{5} \div \frac{3}{4} [/tex]
= [tex] \: \frac{4}{5} \times \frac{4}{3} [/tex]
= [tex] \: \frac{4 \times 4}{5 \times 3} [/tex]
= [tex] \: \frac{16}{15} [/tex]
= [tex] \: 1 \frac{1}{15} [/tex]
( OR )
= [tex] \: 1.0667[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35\:♨}}}}⋆[/tex]
Step-by-step explanation:
[tex] \frac{4}{5} \div \frac{3}{4} \\ = \frac{4}{5} \times \frac{4}{3} \\ = \frac{16}{15} \\ thank \: you[/tex]
WHICH OF THE FOLOWING EXPRESSIONS IS EQUAL TO -3x^2-12
PLEASE HELP WITH THIS. WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER
Determine the distance from (-5,-6) to (3,1).
Can y’all help me on question 2?!
Answer:
4.5
Step-by-step explanation:
18 divided by 4 equals 4.5
Question 7
Find the volume.
Answer:
A: 686π≈2,156
Step-by-step explanation:
First, you need to find the area of the circle then times that by 14.
π[tex]r^{2}[/tex] Formula for the area of a circle
π[tex]7^{2}[/tex] r stands for radius, so you divide the diameter by 2 and get 7.
π49 This is the area of the circle
π49×14 Now multiply by 14
=686π This is your answer.
=2155.13256 When you times it by pi this is what you get
=2156 This is your answer if you want it rounded up
−8x − 6y = 24
Find the x−and y−intercepts.
Answer:
y = − 4 + 4 x 3
x = − 3 − 3 y 4
In a petri dish, a certain type of bacterium doubles in number every 20
minutes
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
O A. 210
B. 410
C. 27
D. 221
SUBMIT
Match each expression with its equivalent expression.
a. √4x^2y^4
b. √8x^2y
c. √4x^2y
c. √16xy^2
d. √8xy^2
1. 2x√y
2. 2y√2x
3. 2xy^2
4. 2x√2y
5. 4y√x
Answer:
a -> 3
b -> 4
c -> 1
d -> 5
e -> 2
Step-by-step explanation:
We apply the properties to solve this question.
a. √4x^2y^4
[tex]\sqrt{4x^2y^4} = \sqrt{4}\sqrt{x^2}\sqrt{y^4} = 2xy^2[/tex]
So a -> 3
b. √8x^2y
[tex]\sqrt{8x^2y} = \sqrt{8}\sqrt{x^2}\sqrt{y} = \sqrt{4*2}x\sqrt{y} = \sqrt{4}\sqrt{2}x\sqrt{y} = 2x\sqrt{2}\sqrt{y} = 2x\sqrt{2y}[/tex]
So b -> 4
c. √4x^2y
[tex]\sqrt{4x^2y} = \sqrt{4}\sqrt{x^2}\sqrt{y} = 2x\sqrt{y}[/tex]
So c -> 1
d. √16xy^2
[tex]\sqrt{16xy^2} = \sqrt{16}\sqrt{x}\sqrt{y^2} = 4\sqrt{x}y = 4y\sqrt{x}[/tex]
So d -> 5
e. √8xy^2
[tex]\sqrt{8xy^2} = \sqrt{8}\sqrt{x}\sqrt{y^2} = \sqrt{4*2}\sqrt{x}y = \sqrt{4}\sqrt{2}\sqrt{x}y = 2y\sqrt{2}\sqrt{x} = 2y\sqrt{2x}[/tex]
So e -> 2
I don’t know the answer help! ?
Answer:
m∠8=120°
Step-by-step explanation:
Given that lines L and M are parallel to each other, keep in mind that ∠1 and ∠8 are opposite exterior angles, so they will be congruent to each other. Therefore, m∠8=120°.
