Answer:
to?
Step-by-step explanation:
Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.
What mistake did Lorie make?
A. She added an extra term to the dividend.
B. She combined the constants incorrectly in the last step.
C. The second term in the quotient should be 7.
D. The last term in the quotient has an incorrect denominator.
Answer:
Option (B)
Step-by-step explanation:
x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5
- (x³ + x² - x)
5x² + x + 5
-(5x² + 5x - 5)
-4x + 10
Result : [tex]x+5+\frac{-4x+10}{(x^{2}+x-1)}[/tex]
By the comparing the result with the Lorie's solution,
She made a mistake in the last step in which she combined the constant incorrectly.
Therefore, Option (B) will be the answer.
Which of the following is a rational number?
Square root of 15, square root of 16, square root of 21, square root of 22
Answer:
square root of 16
Step-by-step explanation:
4x4=16
The ratio of boys to girls in Ella's grade is 3 to 4. The ratio of boys to girls in Minh's grade is 4 to 5. Each grade has a total of 20 girls. How many boys are in each grade?
Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.
How much longer did Sarah practice than Eloise?
Answer:
34 - 25 = 9
Step-by-step explanation:
The low temperatures for three consecutive days were -5F, 3F, and 4F.Which temperature has the greatest absolute value
Answer: -5°F
Step-by-step explanation:
Absolute value makes any number positive, regardless of signs.
Therefore, -5°F has the highest absolute value because it will equal 5 which is greater than 3°F and 4°F.
Hope this helps!
If you take -3/10 of a number and add 1, you get 10. Let x represent the original number. A. Write an equation that represents the situation. B. What is the original number
Answer:
A. -(3/10)x + 1 = 10
B. x = -30
Step-by-step explanation:
A. first, we know that we are multiplying a number (x) by -3/10 because that's the fraction of the number we are taking. Then, we add one to that number. After doing so, we are told that we get 10. Thus, -(3/10)x + 1 = 10
B. in solving this, first we subtract 1 from both sides, to get
-(3/10)x = 9
then, we divide both sides by -3/10 to get
x = -30
Megan deposits 4300 into an account that pays simple interest when she withdraws her money 6 months later she receives $4,536.50 what rate of interest did the account pay round to the nearest whole percent
Answer:
4500
Step-by-step explanation:
because if you round 4,536.50 you will get 4500 since 36 is before 50+
Answer:4500
Step-by-step explanation:
Multiply -2.6 (-3.4)=
Answer:
8.84
Step-by-step explanation:
Answer:
8.84
Step-by-step explanation:
Can you help me identify where I went wrong? I'm having trouble understanding this concept and I need to in order to understand what I will be learning next, thank you!
Step-by-step explanation:
Your work is correct. First, you graphed the region. The minimum or maximum is always at the corner, which you found to be (3.08, 3.64).
The value of C at this point is C = 14.
2 2/3 divided by -8/9
Answer:
-3
Step-by-step explanation:
simplify the expression
Answer:
-3
Step-by-step explanation:
In a coordinate plane, plot the points and sketch
angle. Write the coordinates of a point that lies in the interior of the
angle and the coordinates of a point that lies in the exterior of the
angle.
A(-5,0)
B(-1,-4)
C(4,2)
Answer:
A.
Step-by-step explanation:
Write 82/1000 as a decimal
Answer: 0.082
Step-by-step explanation: Two Ways: Divide 82.000 by 1000 which equals to 0.082. OR Write 82 and then move the decimal 2 spots to the left, so that it turns into 0.082.
(-8) X 2/3 i NEED the answer help me
-5.33333333333
I used a calulator can I get brainliest please
A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)
Answer:
Step-by-step explanation:
Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]
[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]
where:
n = 26
k = 5
[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]
[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]
[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]
[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]
[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]
Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen
Helpppp!!!! Plzzzzzzzzz
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
the intersection of two planes is a line. Planes are like grids so if you have a 3d model, they'd create a line
A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Answer:
A) F(x) = 50 + ( x - 10 )*9
B) Graph
C) lim ( x ⇒ 10) F(x) = 50
Step-by-step explanation:
A) F(x) = 50 + ( x - 10 )*9 since the first 10 hours are included in initial fee
B) In Annex
C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9
lim ( x ⇒ 10) F(x) = 50 + 0
lim ( x ⇒ 10) F(x) = 50
I'm in my feelings again. Sad and Heartbroken. I guess those would be the same thing, but whatever.
Answer:
same here. i went through a breakup of 2 years, i'm super behind in school, and i've been grounded for the past 5 months and haven't spoken to any of my friends. i've learned that life is tough, but so are you. whatever is making you feel this way will pass. just try to find little things that make you happy. the most beautiful views come from the hardest climbs. you'e gotta make the most before the coffin.
Step-by-step explanation:
i hope this helps you, or at least encourages you. i don't know what is happening in your life but i know you can get through it. i'm here for you if you need me in the comments. i have super strict parents so i don't have any socials, but if you wanna talk or play together when i get ungrounded, my r0blox is adriii_rose and my pinterest is also adriii_rose. good luck and have a great day/night. best wishes! ❤️✨
Answer:
❤️❤️❤️
Step-by-step explanation:
Kindly help me with this question. (Chapter - Complex Numbers)
Answer:
z1(z2 + z3) = z1 z2 + z1 z3 ⇒ verified down
Step-by-step explanation:
∵ z1 = 4 + 3i
∵ z2 = 3 - 2i
∵ z3 = i + 5
→ Find the left side
∵ z1(z2 + z3) = (4 + 3i)[3 - 2i + i + 5]
∴ z1(z2 + z3) = (4 + 3i)[(3 + 5) + (-2i + i)]
∴ z1(z2 + z3) = (4 + 3i)(8 - i)
∴ z1(z2 + z3) = (4)(8) + (4)(-i) + (3i)(8) + (3i)(-i)
∴ z1(z2 + z3) = 32 - 4i + 24i - 3i²
→ Remember that i² = -1
∴ z1(z2 + z3) = 32 - 4i + 24i - 3(-1)
∴ z1(z2 + z3) = 32 - 4i + 24i + 3
→ Add the like terms
∴ z1(z2 + z3) = (32 + 3) + (-4i + 24i)
∴ z1(z2 + z3) = 35 + 20i
→ Find the right side
∵ z1 z2 + z1 z3 = (4 + 3i)(3 - 2i) + (4 + 3i)(i + 5)
∴ z1 z2 + z1 z3 = [(4)(3)+(4)(-2i)+(3i)(3)+(3i)(-2i)] + [(4)(i)+(4)(5)+(3i)(i)+(3i)(5)]
∴ z1 z2 + z1 z3 = [12 -8i + 9i -6i²] + [4i + 20 + 3i² + 15i]
→ Replace i² by -1
∴ z1 z2 + z1 z3 = [12 -8i + 9i -6(-1)] + [4i + 20 + 3(-1) + 15i]
∴ z1 z2 + z1 z3 = [12 -8i + 9i + 6] + [4i + 20 - 3 + 15i]
→ Add the like terms
∴ z1 z2 + z1 z3 = [12 + 6 + 20 - 3] + [-8i + 9i + 4i + 15i]
∴ z1 z2 + z1 z3 = 35 + 20i
∵ The left side = 35 + 20i
∵ The right side = 35 + 20i
∴ The left side = the right side
∴ z1(z2 + z3) = z1 z2 + z1 z3
please answer asap!!
Answer:
∠QPR = 40°
Step-by-step explanation:
According to the question the line PQ ⊥ PS which means that they both are perpendicular angles. Perpendicular angles are always 90°, so,
∠QPR + ∠RPS = 90°
=> 7x - 9° + 4x + 22° = 90°
=> (7x + 4x) +(22 - 9)° = 90°
=> 11x + 13° = 90°
=> 11x = 90° - 13°
=> 11x = 77°
=> x = 77/11
=> x = 7
So, now that we have x, we can find ∠QPR,
7x - 9°
=> (7 * 7 - 9)°
=> (49 - 9)°
=> 40°
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
i need help plz 4z+2=34
Answer:
It's 8.
Step-by-step explanation:
I have a calculator from my school and I solved it on the calculator.
How many hundredths are in one tenth how many thousandths are in one hundredth
Answer:
10 hundredths
Step-by-step explanation:
One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.
11.0.
Number o
In 6-card poker, played with a standard 52-card deck, 52Cg, or 20,358,520, different
hands are possible. The probability of being dealt various hands is the number of
different ways they can occur divided by 20,358,520. Shown to the right is the number
of ways a particular type of hand can occur and its associated probability. Find the
probability of not being dealt this type of hand.
The probability is (Round to six decimal places as needed.)
Privacy & cookies
and then click Check Answer
Using it's concept, it is found that there is a 0.999409 = 99.9409% probability of not being dealt this type of hand.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 20,358,520 different outcomes. The given outcome can happen in 1024 ways, and we want to find the probability of it's complement, hence those are the non-desired outcomes and the probability is:
p = (20,358,520 - 1,2024)/20,358,520 = 0.999409.
0.999409 = 99.9409% probability of not being dealt this type of hand.
More can be learned about probabilities at https://brainly.com/question/14398287
if loga81=4, find value of a?
Answer:
[tex]\huge\boxed{a=4}[/tex]
Step-by-step explanation:
[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]
what are the slopes of the two lines?
green has two yellow dots.
Answer:
-7(1/7) = -1
Step-by-step explanation:
Research shows that many banks are unwittingly training their online customers to take risks with their passwords and other sensitive account information, leaving them more vulnerable to fraud (Yahoo, July 23, 2008). Even web-savvy surfers could find themselves the victims of identity theft because they have been conditioned to ignore potential signs about whether the banking site they are visiting is real or a bogus site served up by hackers. Researchers at the University of Michigan found design flaws in 78% of the 214 U.S. financial institution websites they studied.
Required:
Is the sample evidence sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud? Use a 5% significance level for the test.
Answer:
Decision rule
Fail to reject the null hypothesis
Conclusion
The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
Step-by-step explanation:
From the question we are told that
The sample size is n = 214
The sample proportion is p = 0.78
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the population proportion is mathematically represented as
[tex]p = \frac{3}{4} =0.75[/tex] (gotten from the statement ''three out of four'' in the question)
The null hypothesis is [tex]H_o : p = 0.75[/tex]
The alternative hypothesis [tex]H_a : p > 0.75[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }[/tex]
=> [tex]z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }[/tex]
=> [tex]z = 1.01[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > z )[/tex]
=> [tex]p-value = P(Z > 1.01 )[/tex]
From the z-table
[tex]P(Z > 1.01 ) = 0.15625[/tex]
So
[tex]p-value = 0.15625 [/tex]
From the obtained values we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis
Therefore we can conclude that the sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
(Will give you alot of points please help ASAP)Are these ratios equivalent?
5 altos for every 4 sopranos
15 altos for every 13 sopranos
Group of answer choices
Yes
No
Answer: No
==================================================
Work Shown:
(5 altos)/(4 sopranos) = (15 altos)/(13 sopranos)
5/4 = 15/13
13*5 = 4*15 .... cross multiply
65 = 60
The last equation is false, so the first equation is false
---------------
Alternative ratio
(5 altos)/(15 altos) = (4 sopranos)/(13 sopranos)
5/15 = 4/13
5*13 = 15*4
65 = 60
We end up with the same false equation
The given values are not in the same proportion.
The ratios are not equivalent.
------------------
Yet another way to look at it
Note the jump from 5 altos to 15 altos is "times 3"
So if we started with 4 sopranos, then we must have 4*3 = 12 sopranos as our next count.
If the second line changed "13 sopranos" to "12 sopranos", then we would have equivalent ratios.
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
Solve for x.
6(x – 1) = 9(x + 2)
Answer: -8
Step-by-step explanation:
Distribute 6 to x and -1
6x-6=9(x+2)
Distribute 9 to x and 2
6x-6=9x+18
Add 6 to both sides
6x=9x+24
Subtract 9x from both sides
-3x=24
Divide -3 from both sides
X=-8
For w(x)=-2x+7, find the value of x which w(x)=-3
Answer:
x = 5
Step-by-step explanation:
-3 = -2x+7
-10 = -2x
5 =x
The value of x from the given function is 5.
The given function is w(x)=-2x+7..
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Now, put w(x)=-3 in the function and simplify.
That is, -3=-2x+7
⇒ 2x=7+3
⇒ 2x=10
⇒ x=5
Therefore, the value of x from the given function is 5.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ5
ayer 100% A company sells cases of tomato juice. Each case contains 24 cans of juice and sells for $18. The equation y = 18x represents the total price ( y), in dollars, when x number of cases are sold. Choose all statements about the situation that are correct based on the information. A. The cost per can is dependent on the number of cases sold. B. The number of cans sold is dependent on the price per can. C. The total price for a sale is dependent on the number of cases sold. D. The number of cases sold is independent from the number of cans in each case.
Answer:
c
Step-by-step explanation:
Answer:
C is the answer