Answer:
=6mx^4−7x^4
Step-by-step explanation:
(6m−7)(x^4)
=(6m+−7)(x^4)
=(6m)(x^4)+(−7)(x^4)
\(\huge\text{Hey there!}\)
\(\mathsf{(6m - 7)\times4}\)
\(\mathsf{= (6m - 7)(4)}\)
\(\mathsf{= (6m - 7) 4}\)
\(\mathsf{= 4(6m - 7)}\)
\(\mathsf{= 4(6m) - 4(-7)}\)
\(\mathsf{= 6m(4) + (-7)(4)}\)
\(\mathsf{= 6m(4) - 7(4)}\)
\(\mathsf{= 6m - 28}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\frak{24m - 28}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Two cards are pulled in order from a deck of 52 playing cards. What is the probability that thecards will be an 8 of hearts and then an Ace?
ANSWER
\(\frac{1}{663}\)EXPLANATION
The probability that an 8 of hearts and then an ace is drawn can be calculated by finding the product of the probability of drawing an 8 of hearts and an ace (after the 8 of hearts has been drawn)
There is only one 8 of hearts in a deck of cards, so the probability of drawing an 8 of hearts is:
\(P(8-of-hearts)=\frac{1}{52}\)After the 8 of hearts is drawn, only 51 cards will remain. There are four aces (for each of the 4 suits), therefore, the probability of drawing an ace is:
\(P(ace)=\frac{4}{51}\)Therefore, the probability that an 8 of hearts and then an ace is drawn is:
\(\begin{gathered} \frac{1}{52}\cdot\frac{4}{51} \\ \Rightarrow\frac{1}{663} \end{gathered}\)
Given the function f(x) = 2x^2+4x-5 Calculate the following values
\(1) \text{ } f(0)=2(0)^{2}+4(0)-5=\boxed{-5}\\\\2) \text{ } f(2)=2(2)^{2}+4(2)-5=\boxed{11}\\\\3) \text{ } f(-2)=2(-2)^{2}+4(-2)-5=\boxed{-5}\\\\4) \text{ } f(x+1)=2(x+1)^{2}+4(x+1)-5=2(x^{2}+2x+1)+4x+4-5=2x^{2}+4x+2+4x+4-5=\boxed{2x^{2}+8x+1}\\\\5) \text{ } f(-x)=2(-x)^{2}+4(-x)-5=\boxed{2x^{2}-4x-5}\)
Henri necesita empacar en la menor cantidad de de cajas, cinta de color rojo y cinta de color verde si hay 120 metros de cinta de color rojo y 160 metros de cinta de color verde ¿que cantidad de cinta roja y verde deberá empacar Henri en cada caja?
Answer:
Step-by-step explanation:
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
A geometric sequence has only positive terms. The third term is 100 and the eighth term is 3.125.
Find the common ratio.
The common ratio of a geometric sequence will be;
⇒ r = 5 / 10
What is Geometric sequence?
An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
In a geometric sequence,
The third term is 100 and the eighth term is 3.125.
Now,
We know that;
The nth term of geometric sequence is,
⇒ \(T_{n} = a r^{n - 1}\)
Hence, The third term is;
⇒ \(T_{3} = a r^{3 - 1} = 100\)
⇒ \(a r^{2} = 100\) ..(i)
And, The eighth term is,
⇒ \(T_{8} = a r^{8 - 1} = 3.125\)
⇒ \(a r^{7} = 3.125\) ..(ii)
Divide equation (ii) by (i), we get;
⇒ ar⁷ / ar² = 3.125/100
⇒ r⁷ / r² = 3125 / 100000
⇒ r⁷⁻² = 3125 / 100000
⇒ r⁵ = 3125 / 100000
⇒ r = 5/10
Thus, The common ratio of a geometric sequence will be;
⇒ r = 5 / 10
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it is 4.5 miles from moulton to filby via Burnham and denton how far is it between denton and filby
Answer: I think that the answer is 3/4 miles
Step-by-step explanation:
PLS HELP TIMED HW WILL GIVE BRAINLEIST
Answer:
4.8
Step-by-step explanation:
\( V_{sphere} = \frac{4}{3} \pi r^3 \)
\( 144\pi= \frac{4}{3} \pi r^3 \)
\(r^3 = \frac {3 \times 144\pi}{4\pi}\)
\(r^3 = 3 \times 36\)
\(r^3 = 108\)
\(r = \sqrt[3]{108} \\ \\ r = 4.7622031559 \\ \\ r \approx \: 4.8 \: \)
guys, guest the song for brainliest, ok i bull ub, bob oud of de efter pearty, you and all you ofrendas and you hate that be card e, 1982 ibutyou back in de rri. only a little bit so n00bs and search it up k.
Answer:
Day of the dead?
Step-by-step explanation:
Answer:
alrighty then
Step-by-step explanation:
2,76,212+2628 = ______ +2,76,212
Answer:
555052
Step-by-step explanation:
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Which function in vertex form is equivalent to f(x) = x² + x +1?
Answer:
f(x) = (x + 1/2)² + 3/4
===============================
Vertex form of quadratic equation:
f(x) = a(x - h)² + kConvert the given expression into vertex form by completing the square:
f(x) = x² + x + 1 = x² + 2*(1/2)x + (1/2)² + 1 - (1/2)² = (x + 1/2)² + 1 - 1/4 = (x + 1/2)² + 3/4Answer:
\(f(x)=\left(x+\dfrac{1}{2}\right)^2+\dfrac{3}{4}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)
To find the vertex form of the given function, complete the square.
Given function:
\(f(x)=x^2+x+1\)
Add and subtract the square of half the coefficient of the term in x:
\(\implies f(x)=x^2+x+\left(\dfrac{1}{2}\right)^2+1-\left(\dfrac{1}{2}\right)^2\)
\(\implies f(x)=x^2+x+\dfrac{1}{4}+1-\dfrac{1}{4}\)
\(\implies f(x)=x^2+x+\dfrac{1}{4}+\dfrac{3}{4}\)
Factor the perfect square trinomial formed by the first three terms:
\(\implies f(x)=\left(x+\dfrac{1}{2}\right)^2+\dfrac{3}{4}\)
Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]
Answer:
she spends 9 hours
Step-by-step explanation:
A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
A=1/2h(a+b), solve for a
Step-by-step explanation:
2A=h(a+b)
2A=ha+hb
2A-hb=ha
2A-hb/h=a
Please help!!!!!!!!!!!!!!!!!!!
find the general term of the arithmetic sequence if a8=8, a20=44
Answer:
\(a_n=3n-16\)
Step-by-step explanation:
\(a_n=a_1+(n-1)d\\\\a_8=a_1+(8-1)d\rightarrow 8=a_1+7d\\a_{20}=a_1+(20-1)d\rightarrow 44=a_1+19d\)
\(-36=-12d\\3=d\)
\(8=a_1+7(3)\\8=a_1+21\\-13=a_1\)
\(a_n=-13+(n-1)(3)\\a_n=-13+3n-3\\a_n=3n-16\)
The volume of the water bottle is 110cm^3. The height is 7.8. What is the radius? Use 3.14 for pi.
Answer:
Step-by-step explanation:
Step 1: Divide the volume of the water bottle by 3.14.
Volume / 3.14 = 110cm^3 / 3.14
Step 2: Divide the quotient by the height of the water bottle in cm.
(110cm^3 / 3.14) / 7.8 =
Step 3: The quotient of the two numbers is the radius of the water bottle in cm.
14.064516129 cm
8. What is the value of x in the diagram?
A
E
429
B
49
D
32°C
Answer:
D. \(10^{\circ}\)
Step-by-step explanation:
Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).
Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).
By the inscribed angle theorem, \(\alpha=84^{\circ}\).
Thus, \(\beta=20^{\circ}\).
By the inscribed angle theorem, \(x=10^{\circ}\).
Look at the chart showing a clothing store's daily stock data for the past month. Which statement is a fair conclusion based on the cha
71.21 +0.27 (+0.38%)
Previous Close
Open
Day's Range
52 Week Range
Volume
C.
70.94 1D 5D 1M 6M YTD1Y 5Y Max
71.18
OD.
70.93-71.96
48.56-78.70
5,983,993
Apr 30
May 8
A.
The stock price is down for the day by 0.27%.
в.
The open price is down from the previous close price.
C.
The current stock price is up for the day by 0.38%.
D.
The price over the period of one month has increased.
Based on the given information, the fair conclusion would be:
C. The current stock price is up for the day by 0.38%.
The statement mentions that the stock price is up for the day, which is indicated by the positive change of 0.27 (+0.38%).
A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
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1. The Environmental Protection Agency has determined that safe drinking water should contain no more than 1.3 mg/liter of copper. You are testing water from a new source, and take 30 water samples. The mean copper content in your samples is 1.36 mg/l and the standard deviation is 0.18 mg/1. There do not appear to be any outliers in your data. (a) Do these samples provide convincing evidence at the 0.05 level that the water from this source contains unsafe levels of copper? Justify your answer. Justify the conditions for Independence. Be sure to answer within the context of the problem. * Your answer This is a required question Justify the conditions for Normality. Be sure to answer within the context of the problem. * Your answer O This is a required question
Based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.
What is statistics ?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves applying mathematical and statistical techniques to extract meaningful insights from data, and to make decisions and predictions based on this information. Statistics is used in a wide range of fields, including business, economics, social sciences, health sciences, engineering, and more. It helps researchers, analysts, and decision-makers to identify patterns, relationships, and trends in data, and to draw conclusions based on statistical evidence.
According to given information :(a) To test whether the water from this source contains unsafe levels of copper, we need to perform a one-sample t-test with the null hypothesis that the mean copper content in the water is less than or equal to 1.3 mg/l and the alternative hypothesis that the mean copper content in the water is greater than 1.3 mg/l.
The test statistic is calculated as:
t = (x - μ) / (s / √n)
where x is the sample mean (1.36 mg/l), μ is the hypothesized population mean (1.3 mg/l), s is the sample standard deviation (0.18 mg/l), and n is the sample size (30).
Plugging in the values, we get:
t = (1.36 - 1.3) / (0.18 / √30) = 1.47
The degrees of freedom for this test is n - 1 = 29.
Using a t-table or calculator, we find the p-value associated with a t-statistic of 1.47 and 29 degrees of freedom to be approximately 0.076.
Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence at the 0.05 level to conclude that the water from this source contains unsafe levels of copper.
Conditions for Independence: It is assumed that the water samples are independent of each other. This is because the sample is randomly selected and the size is less than 10% of the population. Also, it is assumed that the copper content in one water sample does not affect the copper content in another water sample.
Conditions for Normality: It is assumed that the distribution of the copper content in the population is approximately normal. We can justify this assumption based on the central limit theorem, which states that the distribution of the sample mean approaches normality as the sample size increases. Since the sample size is 30, we can assume that the sample mean follows a normal distribution. We can also check the normality assumption by creating a histogram or a normal probability plot of the data.
Therefore, based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.
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recently, alicia went on a trip. on the first part of the trip, she drove 260 miles to visit her grandparents. this distance is 4/5 of the total she traveled. what equation can you use to find d, the total length of her trip in miles
The equation we can use to find d, the total length of Alicia's trip in miles, is: 260 = (4/5)d
Calculating the equation of the total length of the tripLet d be the total length of Alicia's trip in miles. According to the problem, the distance she drove to visit her grandparents is 4/5 of the total distance, so we can write:
260 = (4/5)d
To find the total distance d, we can solve this equation for d. First, we can multiply both sides by 5/4 to isolate d:
260 x 5/4 = (4/5)d x 5/4
325 = d
Therefore, the equation we can use to find d, the total length of Alicia's trip in miles, is: 260 = (4/5)d and the distance is d = 325
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Help!!!! Please
Asap
Answer:
events at A and B are independent because P(A)(B)≠P(A)
Mary’s Market sells 5 oranges for $2.50. Greg’s Grocery sells 7
oranges for $3.64. Which grocery store offers the better buy?
Answer:
marys market
Step-by-step explanation:
youre gonna end up paying 2 more cents extra for each orange with gregs grocery market.
908636549723 times 47647647 divided bye 98
Answer:
4.4177953e17
Step-by-step explanation:
i think that's the answer im not sure i worked it out in my notebook sorry if it's wrong
Factor 60-36w60−36w60, minus, 36, w to identify the equivalent expressions. Choose 2 answers: Choose 2 answers:
The equivalent expressions to the given expression 60 - 36w as given in the task content are; 6(10 - 6w) and 12(5 - 3w).
Which expressions are equivalent expressions to the given expression; 60 - 36w as given in the task content?It follows from the task content that the expression which is to be factorised in a bid to determine the equivalent expressions is; 60 - 36w.
On this note, since the expression can be written in either of the following forms;
(6 × 10) - (6 × 6w)
OR
(12 × 5) - (12 × 3w)
Therefore, the factorised forms which result in equivalent expressions are; 6(10 - 6w) and 12(5 - 3w).
Ultimately, the equivalent expressions to the given expression 60 - 36w as given in the task content are; 6(10 - 6w) and 12(5 - 3w).
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does anyone have the keys for edmentum guided notes!!! please help
It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.
Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.
They are in the best position to provide you with the necessary guidance and support.
Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.
This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.
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Which of the following best describes the slope of the line below?
A. Undefined
B. Positive
C. Zero
D. Negative
Answer:
zero
Step-by-step explanation:
the slope does not change in y at all.
Which scatter plot shows the relationship
between the amount of gasoline in an
automobile's tank and the distance travelled
since the last fill-up?
Answer:
-0.04x +17.2
Step-by-step explanation:
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)