Answer:
x= 4/5 or x = -2
Step-by-step explanation:
Step 1: Subtract -6x from both sides.
5x^2 -8 - -6x = -6x -6x
5x^2 + 6x - 8 = 0
Step 2: Factor left side of equation.
(5x - 4) (x + 2) = 0
Step 3: Set factors equal to 0.
5x - 4 = 0 or x + 2 = 0
Hense the Answer is x= 4/5 or x = -2
Find the equation of the polynomial function graphed below.
A) f(x) = x3 − 3x2 − 6x + 8
B) f(x) = 8x3 − 24x2 − 48x + 64
C) f(x) = x3 + 3x2 − 6x − 8
D) f(x) = 8x3 + 24x2 − 48x − 64
Answer:
See image
Step-by-step explanation:
Check out the y-intercepts for these equations and look at the y-intercept on the graph. The y-intercept is the point where x=0. So it's mental math you can do in a couple of seconds per equation. If x=0 all the x terms are zero and the y-intercept is just the constant at the end if the equation. I put a note on the graph and the answer choices. The constant is the y-intercept. Only one choice matches. See images.
elliot's jogging rate is 9 km/h. how many kilometers can he travel in
a) 2 hours?
b) t hours.
50 POINTS AND BRAINILEST!
Answer:
A=18km B=equation is 9t
Step-by-step explanation:
Here's how I found the answer!
A: Here is our current proportion:
9km
--------
1 hr
Here is what we want:
9km xkm
------- = --------
1h 2h
Now, what did I do to 1 to get to 2? I multiplied by 2.
Since this is a ratio, it needs to be proportional.
So, we need to do the same thing for the numerator, 9.
9*2=18.
A=18km
B: This question is asking for an expression, which would be 9t. 9 is the amount he jogs per hour, and t is the hour that is unknown.
The distance travelled by Elliot's is 18 hours.
Given that, Elliot's jogging rate is 9 km/h.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
a) The formula to find the distance is Distance = Speed × Time
= 9 × 2
= 18 hours
b) Distance = 9 × t
=9t hours
Therefore, the distance travelled by Elliot's is 18 hours.
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A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost.
Swim Lesson Packages
Number of Total Cost
Lessons
1
$10
5
$40
10
$80
15
$80
Which package is the best deal?
0 1 lesson for $10
O 5 lessons for $40
ОООО
10 lessons for $80
O 15 lessons for $80
Answer:
15 lessons for $ 80
Step-by-step explanation:
In case 1
Cost of 1 lesson = $10
In case 2
Cost of 1 lesson = 40/5 = $8
In case 3
Cost of 1 lesson = 80/10 = $8
In case 4
Cost of 1 lesson = 80/15 = $ 5.33
Hence,
The best deal is case 4 i.e 15 lessons for $ 80
There is a group of 5 turtles near the playground. More turtles joined. Now there are 13 turtles. How many turtles joined the group?
Answer:
8 turtles joined the group
Step-by-step explanation:
13-5=8
5. Seismologists use the Richter scale to measure the magnitudes and intensity of
earthquakes that occur all over the earth. (see below, some info about Richter scales,
and intensity formula)
Let's say an earthquake hit Santa Monica, CA and had a magnitude of 6.2. If another
earthquake hit Charleston, SC and was a magnitude of 3.8, then how much more
intense was the earthquake in LA?
Student's Work
Student's Answer
A. 251.19 times
B. 11.02 times
C. 42.81 times
D. 2.4 times
Some additional Richter scale info...
A common logarithm is a logarithm with base 10. You can write a common logarithm logio * simply as log x, without
showing the 10
Many measurements of physical phenomena have such a wide range of values that the reported measurements are
logarithms (exponents) of the values, not the values themselves. When you use the logarithm of a quantity instead of the
quantity, you are using a logarithmic scale. The Richter scale is a logarithmic scale. It gives logarithmic measurements
of earthquake magnitudo.
1
3) 1 Hot 10
Intensity formula:
-
= M - M₂
-
log
12
Applying logarithms, it is found that the earthquake in LA was 251.19 times more intense, and the correct option is A.
The logarithm of the ratio of intensity of two earthquakes of magnitudes [tex]M_1[/tex] and [tex]M_2[/tex] is given by:
[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]
[tex]\frac{I_1}{I_2}[/tex] gives how much more intense earthquake 1 is compared to earthquake 2.In this problem, [tex]M_1 = 6.2, M_2 = 3.8[/tex], then:
[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]
[tex]\log{\frac{I_1}{I_2}} = 6.2 - 3.8[/tex]
[tex]\log{\frac{I_1}{I_2}} = 2.4[/tex]
[tex]10^{\log{\frac{I_1}{I_2}}} = 10^{2.4}[/tex]
[tex]\frac{I_1}{I_2} = 251.19[/tex]
Hence, the earthquake in LA was 251.19 times more intense, and the correct option is A.
A similar problem is given at https://brainly.com/question/2528611
A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.
a. Calculate the p-value for this test.
b. Find the p-value for this test and draw your conclusion.
c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.
Answer:
c
Step-by-step explanation:
Marl me as brainliest answer c
The p-value for the given test is 0.0901.
Given that, a pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%.
What is a standard deviation?Standard deviation is the degree of dispersion or the scatter of the data points relative to its mean, in descriptive statistics.
Given, Mean = 3.07, μ=3%, σ =0.4% and n=64.
Hypothesis test [tex]H_{0}[/tex];μ=3 and [tex]H_{1}[/tex];μ>3
We need to test the null hypothesis against the alternative hypothesis, we reject the null hypothesis and accept the alternative hypothesis.
When x>x critical
x critical = μ+Z+σ
Z = (x-μ)/(σ/√n)
= (3.07-3)/(0.4/√64)
= (0.07)/0.05
= 1.4
α = 5 and [tex]z_{0.05[/tex]= 1.645
If Z>[tex]Z_{0.05[/tex]
1.4 > 1.645
Therefore, we do not reject null hypothesis at 5% significant level.
There is sufficient evidence that the mean impurity in concentration pills is 3% or less than 3%.
p-value
p−value=P(Z>1.4)
=1−P(Z<1.4)
=1−0.90988
=0.0901
Therefore, the p-value for the given test is 0.0901.
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Express as a single power.
a) 1
b) -5
c) [tex]\frac{6^3.6^5}{6^2.6^4} = \frac{6^{3+5} }{6^{2+4} } = \frac{6^8}{6^6} = 6^{8-6}=6^2[/tex]
. Mary has been working hard to pay her bills and as a result she has a good credit rating and has qualified for a lower interest rate credit card. She needs to move and an apartment in a good location is available now. She has money for the monthly rent but she doesn’t have enough cash right now for the month in advance and additional moving expenses. She is expecting a bonus from her job within the next couple of months that will cover these expenses. How could a credit card be a benefit in this situation?
Mary having a credit card could be beneficial to her present situation as it gives her the ability to move to the new apartment without making immediate cash payments.
What is a credit card?A credit card is a payment card issued by a bank or financial services company to a cardholder to enable the cardholder to purchase goods and services on credit and later pay for them.
Credit cards and their interest rates are issued based on the user's credit rating.
What are the benefits of credit cards?Some of the benefits that Mary can derive from using credit cards include:
Ability to move to an apartment using her credit card without making immediate cash payments from her unavailable savings.Make credit purchases and withhold cash payments.The cardholder does not necessarily have to have a checking or saving account.The credit card gives Mary increased purchasing power.Using a credit card now helps Mary to build up her credit rating for future emergencies.Thus, with a credit card, Mary can move to the new apartment by borrowing the required funds for advance payment, including additional moving expenses.
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A ladder is 65 inches tall. How tall is it in feet and inches?
1 foot = 12 inches
65 inches / 12 = 5.41 feet
5 x 12 = 60
65-60 = 5
Answer: 5 feet 5 inches
need help 5 stars and good rating for math problem
Answer: the 20 ounce box cost less per ounce
Step-by-step explanation:
Subtract the following decimals
1. 19.87 - 8.54
2. 7.93 - 2.03
3. 96.6 - 88.5
Answer:
the answer is
1. 11.33
2. 5.9
3. 8.1
What is the product of 3.4 × 10−14 and 1.8 × 1028? (5 points)
Answer:
1874.4
Step-by-step explanation:
First multiply 3.4 and 10
34
Then subtract 14 from 34
24
Then multiply 1.8 by 1028
1850.4
Lastly add 1850.4 and 24
1874.4
Answer:
7.987
Step-by-step explanation:
Just use your head man
PLS HELP!!!
simplify 3^2 x 3^4 x 3^6=
3^10
3^12
3^0
3^40
Answer:
3¹² is answer
Step-by-step explanation:
3^(2+4+6)
3^12
Part C
What is the elevation of the deck where Winston ate dinner?
Answer: 10 feet
Step-by-step explanation:
Homer paid $6.72 for a dozen donuts. Identify the unit rate. a. $1.79 c. $0.52 b. $1.12 d. $0.56
Answer:
d. 0.56
Step-by-step explanation:
6.72/12=0.56
the unit rate is just the cost for one.
Which of the lines listed below is parallel to the line with the equation y = 3/2x + 5?
use desmos graphing calculator
matthew drove 252 miles to his familys vacation spot his father drove twice as many miles and then thy arrived at their hotel how far did the family travel to get to their destination
What is 1 + 1 I need to know.
Answer:
2
Step-by-step explanation:
please mark my answer in brainlist
Answer:
2
Step-by-step explanation:
1+1=2
The graph of an equation with a negative discriminant always has which characteristic?
Answer:
answer below
Step-by-step explanation:
equation with a negative discriminant: negative number under the square root
1. will produce imaginary number "i"
2. the function will get two complex solutions
Okie help please math math math
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
Answers plz fast ????? :D
Ans
Step-by-step explanation:
Find the percent increase. Round to the nearest percent. From 95 books to 153 books
Answer:
62%
Step-by-step explanation:
(The part/ the whole)× 100
(95/153) = 0.62
0.62×100 = 62%
Simplify
[tex] \binom{2x + y \: \: 3y}{6 \: \: \: \: \: 4} = \binom{6 \: \: 0}{6 \: \: 4} [/tex]
Find x and y
Answer:
I am hacker
Step-by-step explanation:
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
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[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
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you have a pathetic life
Answer:
By comparing ,
2x + y = 6
3y = 0
y= 0/3
•°• y = 0
2x + y = 6
2x + 0 = 6
2x = 6
x = 6/2
•°• x = 3
hope it helps :)
Find the measure of the following: m arcTR = m arcTL = m ∠L = m ∠R = m ∠RTV =
Applying the inscribed angle theorem, the missing measures are:
measure of arc TR = 106°
measure of arc TL = 74°
m∠L = 50°
m∠R = 37°
m∠RTV = 37°
The Inscribed Angle TheoremMeasure of an inscribed angle = half the measure of the arc it intercepts
Central angle = measure of intercepted arc
We are given the following:
LR and TV are diameters of the circle O.
m∠TOR = 106° (central angle)
Find measure of arc TR:
measure of arc TR = m∠TOR
measure of arc TR = 106°
Find measure of arc TL:
measure of arc TL = 180° - m∠TOR
measure of arc TL = 180° - 106°
measure of arc TL = 74°
Find m∠L:
m∠L = ½(measure of arc TR)
m∠L = ½(106°)
m∠L = 50°
Find m∠R:
m∠R = ½(measure of arc TL)
m∠R = ½(74°)
m∠R = 37°
Find m∠RTV:
m∠RTV = ½(measure of arc RV)
m∠RTV = ½(180 - 106)
m∠RTV = ½(74)
m∠RTV = 37°
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Select the values that make the inequality -4 g< 64 true. Then write an equivalent inequality, in terms of g
Answer:
g > -16
Step-by-step explanation:
-4 g< 64 (Given)
g > -16 (Sign flips sing you divided by a negative number)
Brent checks the sales records for a random sample of 16 days and finds the mean number of gallons sold is 150 gallons per day; the sample standard deviation is 12 gallons. With 95% confidence, estimate the what is mean number of gallons that Brent should stock daily.
Answer:
[143.61, 156.39]
Step-by-step explanation:
Because the population standard deviation is not available AND the sample size is less than 31, we can use a t procedure here.
Plug these values into your calculator:
Sample mean = 150
Sample size = 16
Standard deviation = 12
Confidence level = 95% = 0.95
and get [143.61, 156.39] as your confidence interval
if fifteen families are coming to the picnic and they all split the cost evenly between them how much will each family contribute towards the cost of the shelter
!!!! Which equation represents the graph shown? PLEASE HELP ASAP!!!
Answer:
y= 2x +1
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the gradient and c is the slope.
Since all the slope in the options are the same, let's focus on the y-intercept. From the graph, the line cuts through the y-axis at y= 1. Thus, the y- intercept is 1.
Hence, y= 2x +1 is the correct option.
Extra notes:
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
patsy can decorate 3 1/2 cupcakes in 1/4 hour at this rate how many cupcakes can patsy decorate in 1 hour
Answer:
14
Step-by-step explanation:
3.5 cupcakes can be done by 15 mn
X cupcakes can be done by 1 hour
35 ×60mn =15X
210 /15=X
X= 14
so 14 cupcakes will be done by an hour
(What is the Constant of Proportionality) The variable y has a proportional relationship with
x as suggested by the graph. Use the graph to
find the constant of proportionality.
Answer:
41
Step-by-step explanation:
In a direct proportion function, the constant of proportionality is the same as the slope of the graph.
Use points (0, 0) and (1, 41).
slope = (41 - 0)/(1 - 0) = 41/1 = 41
constant of proportionality = 41