Answer:
4, 16, -4, 2, -1
x = 4±√(16-4(2)(-1)/4
Correct expression:
Step-by-step explanation:
Given the expression
2x² - 8x - 7 = -4x - 6
Rewrite in standard form
2x² - 8x + 4x - 7 + 6 = 0
2x² - 4x - 1 = 0
Get the coefficients
Given the standard form ax^2 + bx + c = 0
ax^2 = 2x^2
a = 2
bx = -4x
b = -4
c = -1
Use the general formula to find the factors
x = -b±√b²-4ac/2a
Substitute the coefficients
x = -(-4)±√(-4)²-4(2)(-1)/2(2)
x = 4±√(16-4(2)(-1)/4
Hence the values are 4, 16, -4, 2, -1
Is (3,-4) a solution to this system?
Answer:
Bug0
Step-by-step explanation:
tangá Bubv haha yaanka amp
The Edward James Toy Company uses a Kanban system to make plastic wheels that are a component of several toys. The waiting time for a container of the wheels during production is 0.25 day; average processing time is 0.15 day per container. Each container holds 200 wheels. The company uses 2,000 wheels a day in the production of its products. Use the information in Case 6.1. Using a policy variable of 5%, calculate the number of Kanban containers needed for the wheels.
Answer:
[tex]N_c \approx 5.0[/tex]
Step-by-step explanation:
From the question we are told that:
Waiting time for a container of the wheels during production [tex]T_w=0.25day[/tex]
Average processing time is [tex]T_a=0.15 day per container[/tex]
Wheel per container [tex]N_w=200[/tex]
Total wheel per day [tex]D=2000[/tex]
Policy variable of [tex]X=5%[/tex]
Generally the equation for Total number of container [tex]N_c[/tex] is mathematically given by
[tex]N_c=DT(\frac{1+X}{N_w} )[/tex]
Where
Total time [tex]T=T_w+T_a[/tex]
[tex]T=0.15+0.25[/tex]
Therefore
[tex]N_c=DT(\frac{1+X}{N_w} )[/tex]
[tex]N_c=2000*0.40(\frac{1+0.5}{200} )[/tex]
[tex]N_c=(\frac{840}{200} )[/tex]
[tex]N_c=4.2[/tex]
[tex]N_c \approx 5.0[/tex]
Therefore the number of Kanban containers needed for the wheels is
[tex]N_c \approx 5.0[/tex]
Please please help me!
Answer:
x=19.2
Step-by-step explanation:
sin(28)=9/x
x=9/sin(28)
x=19.2
SOMEONE SMART PLEASE HELP
I HAVE 5 MINS LEFT FOR THIS IS IT CORRECT?
Answer:
Step-by-step explanation:
i belive it is correct.
(PLEASE HELP ME!)
Solve for n 2n ^ 2 = 10n + 48 O A - 4or - 6 OB . 4016 O. 3or - 8 OD- 3 or 8 O E - 3or - 8
Answer:
Option D
Step-by-step explanation :
→ Minus 10n and 48 from both sides
2n² - 10n - 48 = 0
→ Divide everything by 2
n² - 5n - 24 = 0
→ Factorise
( n + 3 ) ( n - 8 )
Answer:
D
Step-by-step explanation:
2n²-10n-48=0
n²-5n-24=0
(n-8)(n+3)
n-8=0
n=8
n+3=0
n=-3
4. How many inches long is the hammer?
0_1
2
3
4
5
6
The number of books (b) in a preschool classroom is proportional to the number of children (c) enrolled.
If the preschool has three books in a classroom for each child enrolled, which equation represents the total number of books in the classroom?
A. b=3c
B. b=3+c
C. b= 1 over 3c
D. b=3-c
Find the area of the figure
Answer:
456.9
Step-by-step explanation:
Help plssssssssssszzzzzssz
Answer:
2143.57 in³
Step-by-step explanation:
The formula of volume of sphere
[tex]= \frac{4}{3} \pi {r}^{3}[/tex]
The volume of the sphere
[tex]= \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3}[/tex]
[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]
[tex] = \frac{6430.72}{3} [/tex]
[tex] = 2143.57333...[/tex]
= 2143.57 in³ (rounded to the nearest hundredth)
ANSWER......................
-2x+8x 4>−8
Answer:
x= 3/2 after u like simplify
Step-by-step explanation:
1 Add 44 to both sides.
8x=8+4
8x=8+4
2 Simplify 8+48+4 to 1212.
8x=12
8x=12
3 Divide both sides by 88.
x=\frac{12}{8}
x=
8
12
4 Simplify \frac{12}{8}
8
12
to \frac{3}{2}
2
3
.
x=\frac{3}{2}
x=
2
3
MATHEMATICS
PLANE if it is a plane figure and write SOLID if it is a solid
1. shoebox
2. tiles 3.ball
4.wheel 5.playing card 6.wall sticker 7.basket ball court 8.kite 9.dringking glass 10.tv screenshot
Answer:
P=plane
S=solid
1.s
2.p
3.s
4.s
5.p
6.p
7.s
8.p
9.s
10.p
If you are helped with my answer pls tag me brianliest
THANK YOU...
1/2 x 288 = ???????
What is the answer?
Answer:144
Step-by-step explanation:
Use a calculator
or 1/2 x 288 = 288/2 = 144
Answer: 144
Step-by-step explanation:
I'm assuming that the "x" in this statement is a multiplication symbol.
Multiplying any number by 1/2 or 0.5 is the same thing as dividing it by 2.
Therfore the answer is 288/2 which is 144.
Find y. Do not round ! Geometry homework, plz help if you can/if you know how ;) thank you
9514 1404 393
Answer:
y = 11.2 in
Step-by-step explanation:
The product of segment lengths to the near and far intersection points of the secant with the circle are the same for all secants from the same external point. Here, there are three, so we have the relations ...
9×9 = 5(5+y) = x(x+19)
Then the value of y can be found as ...
81/5 = 5+y
16.2 -5 = y = 11.2
__
The value of x is a little trickier, as a quadratic is involved.
81 = x² +19x
81 + 90.25 = x² +19x +90.25 . . . . complete the square
171.25 = (x +9.5)²
x = √171.25 - 9.5 ≈ 3.58625...
__
Additional comment
For the purpose here, the tangent can be considered to be a degenerate case of a secant in which the two points of intersection with the circle are the same point. For the purpose of this calculation, the length of the tangent is squared. (The distance to the points of intersection is the same.)
I find it easier to remember one rule, rather than a separate rule for tangents. With some imagination, the same rule can be applied when the "secants" meet inside the circle. In that case, they are called "chords".
We have shown the value for x because we suspect some versions of this question may ask for x instead of y. (Rounding may be required in that case.)
A bowl has 2 gold marbles, 3 blue marbles and 5 white marbles. A marble is randomly selected and then placed back in the bowl. You do this 5 times. What is the probability of choosing 1 gold marble, 1 blue marble and 3 white marbles?
Answer:
2/10 or 1/5 gold, 3/10 blue and 5/10 or 2/5 white
Step-by-step explanation:
2+3+5=10
since you do this 5 times and get 5 marbles it can be:
2/10 or 1/5 gold, 3/10 blue and 5/10 or 2/5 white
The probability of choosing 1 gold marble, 1 blue marble and 3 white marbles is 2/5
Probability is the likelihood or chance that an event will occur.
If there are 2 gold marbles, 3 blue marbles and 5 white marble in the bowl, the total number of marbles will be 10 marbles.
Pr(1 gold marble) = 2/10 = 1/5
Pr(1 blue marble) = 3/10
Pr(3 white marble) = [tex]\frac{3}{5C_3} = \frac{3}{10}[/tex]
Add all the probability;
Pr(hoosing 1 gold marble, 1 blue marble and 3 white marbles) = 1/5 +3/10 + 3/10 = 8/10 = 2/5
Hence the probability of choosing 1 gold marble, 1 blue marble and 3 white marbles is 2/5
Learn more here: https://brainly.com/question/13604758
Hector is training for a race. During week 1, he will run 8 miles. He plans to run
27 miles in week 12.
Which equation shows how to find x, how many more miles Hector will run in
week 12 than in week 1?
A. X + 8 = 27
B. X - 8 = 27
C. -8 + x = 27
D. 8 - x = 27
Answer:
A
Step-by-step explanation:
How you find x is you do 27-8. You get 19. If you do 19+8 and think of 19 as x, you get 27. This is why A is correct
Find the area of the figure
Answer:
186.66
Step-by-step explanation:
Dustin bowled a three-game series at a bowling alley. His scores for the three games were 178, 209, and 159. What was Dustin's average score? A) 178 Eliminate B) 179 C) 180 D) 182
Answer:
182
Step-by-step explanation:
Add 178 + 209 + 159 = 546
Then divide 546 by 3 = 182
plzzzzzzzzz help me on dis
Answer:
a
Step-by-step explanation:
help a girl pass her math test pleaseee
Answer:
Your answer is B
Step-by-step explanation:
Answer:
Step-by-step explanation:
A looks good
Traveling
All changes saved
8. Morgan is traveling from Dallas, Texas to San Francisco, California. She has the choice
of two airlines. She will check two bags, wants Wi-Fi access, and does not want a meal
on the plane. She does not mind a layover if it will get her a better deal. Which of the
following would be the best deal, and how much would she save?
> Lesson 82
> Lesson 83
Answer:
24
Step-by-step explanation:
i did it
The period of a pendulum is the length
of time required to complete one swing
back and forth. If it takes 1.4 sec for a
0.49m pendulum to complete one period,
'What is the period of a 0.36 mpendulum?
Answer:
T₂ = 1.2 s
Step-by-step explanation:
The time period of a simple pendulum is given by :
[tex]T=2\pi \sqrt{\dfrac{L}{g}}[/tex]
Where
L is length of the pendulum
g is acceleration due to gravity
We have,
T₁ = 1.4 s, L₁ = 0.49 m, L₂ = 0.36 m, T₂= ?
[tex]\dfrac{T_1}{T_2}=\sqrt{\dfrac{L_1}{L_2}} \\\\T_2=\dfrac{T_1}{\sqrt{\dfrac{L_1}{L_2}}}\\\\T_2=\dfrac{1.4}{\sqrt{\dfrac{0.49}{0.36}}}\\\\T_2=1.2\ s[/tex]
So, the new time period is equal to 1.2 seconds.
Robin saves $500 at a yearly simple interest rate of 4%. What is the total amount of
money she has after 20 years?
Answer:
$900
Step-by-step explanation:
The formula for simple interest is I = PRT where I is the interest earned, P is the principal/amount deposited or borrowed, R = rate as a decimal, and T = time in years
I = PRT
I = (500)(0.04)(20)
I = 400
Add the interest to the principal, and she will have $900 in 20 years.
Please let me know if you have questions about this.
The management of a major diary wanted to determine the average ounces of milk consumed per resident in the state of Texas. Past data indicated that the standard deviation in milk consumption per capita across the U.S. population was 4 ounces. A 95% confidence level is required and the margin of error is not to exceed /- 0.5 ounces. Management wanted to double the level of precision and increase the level of confidence to 99%.
Required:
What sample size would you recommend?
Answer:
The recommended sample size is 1,698
Step-by-step explanation:
The given standard deviation in milk consumption per capita across the U.S., σ = 4 ounces
The required confidence level = 95%
The margin of error, e = ± 0.5
When the precision is doubled, we have the new margin of error = ±0.5/2 = ±0.25
The standard score at 99% confidence level, z = 2.576
The sample size formula is given as follows;
[tex]S = \dfrac{Z^2 \times P \times Q}{E^2}[/tex]
Where;
P × Q = The variance = σ²
∴ P × Q = 4² = 16
The sample size becomes;
S = 2.576² × 16/(0.25²) = 1,698.758656
We round down to get the recommended sample size, S = 1,698
Need help asap!!!
Solve for the horizontal distance
Answer:
Step-by-step explanation:
what are all the solutions for the equation 5x^2-2x+16=4x^2+6x
Answer:
x=4 is a solution
A storeowner wants to set up a rectangular display area outside his store. He will use one side of the building (which is 25 feet long) as part of one side of the display area. He has 190 linear feet of fencing material to use to fence in the display area. Write a function which expresses the total area of the display area in terms of the length x of the side of the display area opposite the building.
Answer:
[tex]A=\frac{215*x}{2}-x^2)[/tex]
Step-by-step explanation:
From the question we are told that:
Total length of building side [tex]x=25feet[/tex]
Perimeter of fence in [tex]P=190feet[/tex]
Generally the perimeter of the display area is given as mathematically given by
[tex]2L+2B=P+x\\2L+2B=190+25[/tex]
Therefore
[tex]2L+2B=215[/tex]
[tex]L+B=\frac{215}{2}[/tex]
[tex]B=\frac{215}{2}-L[/tex]
Generally the Area of the display area A is given as mathematically given by
[tex]Area A=L*B[/tex]
[tex]Area A=L*(\frac{215}{2}-L)[/tex]
[tex]Area A=\frac{215*L}{2}-L^2)[/tex]
Length L in terms of x
[tex]Area A=\frac{215*x}{2}-x^2)[/tex]
A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week. Assuming that the population standard deviation is 5.5 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
Step 1 of 3 :
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ=24
Ha: μ ____ 24
Step 2 of 3:
What is the test statistic?
Step 3 of 3:
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
Answer:
Ha: μ < 24
The test statistic is z = -1.75.
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
Step-by-step explanation:
A recent survey reported that small businesses spend 24 hours a week marketing their business.
This means that the null hypothesis is:
[tex]H_0: \mu = 24[/tex]
A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing.
This means that the alternate hypothesis is:
[tex]H_a: \mu < 24[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
24 is tested at the null hypothesis:
This means that [tex]\mu = 24[/tex]
The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week.
This means that [tex]n = 93, X = 23[/tex]
The population standard deviation is 5.5 hours
This means that [tex]\sigma = 5.5[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{23 - 24}{\frac{5.5}{\sqrt{93}}}[/tex]
[tex]z = -1.75[/tex]
The test statistic is z = -1.75.
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
The pvalue of the test is the probability of finding a sample mean below 23, which is the pvalue of z = -1.75.
Looking at the z table, z = -1.75 has a pvalue of 0.0401
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
A.
1.2° N of E
B.
1.2° S of E
C.
66.8° N of E
D.
66.8° S of E
Answer:
c
Step-by-step explanation:
Pls help ASAP PLSSSS!!!
Answer:
D
Step-by-step explanation:
225 is the closest to point (200, 200)
Answer:
c
Step-by-step explanation:
trust
which sign makes the statement true? |6|? -8 greater than less than or equal to?
Answer:
|6| > -8
Step-by-step explanation:
The absolute value of |6| is 6. Because positives are greater than negatives, 6 is greater than -8.
Answer: greater than
Step-by-step explanation: Absolute value shows a number's distance from zero on a number line. 6's distance from 0 is still 6. 6 is greater than -8, therefore l6l>-8