neil recorded the amount of rain that fell over the coures of three days in april. on day one he recorded 1.25 . on day 2 he recorded 0.7

We need to verify if the given value is a solution to the equation. For that we will replace theta by the given value and verify if we find -1 on the left side.

Since we found "-1". The answer is True.

Answer:

x = - 20, x = - 3

Step-by-step explanation:

To find the zeros, let h(x) = 0, that is

x² + 23x + 60 = 0

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- term (+ 23)

The factors are + 20 and + 3, since

20 × 3 = 60 and 20 + 3 = 23, thus

(x + 20)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 20 = 0 ⇒ x = - 20

x + 3 = 0 ⇒ x = - 3

Answer:

We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . Parallel lines have the same slope. The slope of the line with equation y=2x+3 is 2 .

Step-by-step explanation:

Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

Therefore, to find the p-value, we need the specific value of the test statistic z and the alternative hypothesis to determine the direction of the test.

To find the p-value for a hypothesis test with the standardized test statistic z, we need to calculate the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.

The p-value is defined as the probability of obtaining a test statistic more extreme than the observed value in the direction specified by the alternative hypothesis.

To decide whether to reject the null hypothesis for a given level of significance α, we compare the p-value to the significance level α. If the p-value is less than or equal to α, we reject the null hypothesis. If the p-value is greater than α, we fail to reject the null hypothesis.

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Since the number of men must be a whole number, we can round it up to 267. Therefore, there were initially 267 men in the fort before the reinforcement arrived.

Let's solve this problem step-by-step:

1. Initially, the fort is provisioned for 42 days.
2. After 10 days, a reinforcement of 200 men arrives.
3. With the additional men, the remaining food will now last for 24 days.

Let x represent the initial number of men in the fort.

Since the fort was provisioned for 42 days initially, we can write an equation for the total amount of food:

Total food = x men * 42 days

After 10 days, 200 men arrive and the remaining food lasts for 24 days:

Remaining food = (x + 200) men * 24 days

Since the total food and remaining food are equal, we can set the two equations equal to each other:

x * 42 days = (x + 200) * 24 days

Now, let's solve for x:

42x = 24x + 4800

Subtract 24x from both sides:

18x = 4800

Divide both sides by 18:

x = 266.67

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.

EXPLANATION

The expression 9 3/10 first you be converted into a improper fraction as follows:

9 3/10 = 93/10

Applying the same operation for 2 7/10:

2 7/10 = 27/10

Then, subtracting both fractions:

93/10 - 27/10 = 66/10

Simplifying the fraction:

33/5

The answer is 33/5

The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Strange Times Inc. would recognize interest revenue of approximately $1,800 for Year 1.

To determine the interest revenue recognized for Year 1, we need to calculate the implied interest on the zero-interest bearing note. The implied interest rate is given as 6%.

The formula to calculate interest revenue is:

Interest Revenue = Principal Amount × Interest Rate.

In this case, the principal amount is $60,000. Multiplying it by the interest rate of 6% gives us $3,600, which represents the total interest for the two-year period. Since we are interested in the interest revenue for Year 1, we need to apportion this total amount accordingly.

To determine the interest revenue for Year 1, we divide the total interest by the number of years, which is 2, and round the result to the nearest dollar. So, $3,600 divided by 2 is $1,800. Therefore, Strange Times Inc. would recognize approximately $1,800 as interest revenue for Year 1.

It's important to note that the interest revenue recognized represents the amount of revenue related to the time period of Year 1 only. As the note is zero-interest bearing, the entire interest revenue is recognized upfront based on the implied interest rate.

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Expect distributions of these variables are:

a) Ages of people at a Little League game are unimodal and skewed.

b) Number of siblings of people in your class is unimodal and skewed.

c) Pulse rates of college-age males unimodal and roughly symmetric.

d) Number of times each face of a die shows in 100 tosses is approximately uniform.

a) Age distribution during a Little League game is likely to be unimodal and skewed. The age range of attendees. This is because Little League has an upper age restriction and the majority of players will fall inside that range, with just a small number being outliers. As a result, the distribution is likely to be unimodal, with the majority of participants falling within a relatively small age range, and being skewed toward older ages.

b) How many siblings are in your class? The distribution of siblings in a class is probably unimodal and skewed. This is because the majority of people either have no siblings or have one or two siblings, with just a small minority having three or more. As a result, the distribution will be unimodal, with the majority of individuals falling within a very small range, and tilted in the direction of the lower numbers.

c) Males in college-age pulse rates: These men's pulse rate distributions are probably unimodal and roughly symmetric. It is doubtful that there would be different groups or outliers that would result in a bimodal distribution, even though there may be some natural variation in pulse rates. There is also no reason to assume that one tail of the distribution will be longer or more dispersed than the other, hence the distribution is probably symmetric.

d) Number of times each die face is revealed in 100 throws: The distribution of the number of times each die face is revealed in 100 throws is probably quite uniform. Each face has an equal chance of appearing on each toss, and throughout 100 tosses, each face is expected to do so roughly the same amount of times, assuming a fair die. As each face should appear nearly equally often, the distribution should be quite consistent.

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Answer:

Step-by-step explanation:

perimeter of rectangle=2(length+width)

=2(70+65)

=2*135

=270 feet

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Let the area be y .

Area = (base) × (height)

Base = 2x

Height = h

Let the area of the rectangular pens be y .

∴ y = 2xh

Perimeter of all the fencing = 4x+3h

∴ 4x+3h = 120

now we solve for h

3h = 120-4x

h = 40 - 4/3 x

Now we will substitute this value in the above first equation:

y = 2xh

or, y = 2x (40 - 4/3 x)

or, y = 80x - 8/3 x²

Now for the maximum area we have to find the first order differentiation of y

now,

dy /dx = 80 - 16/3 x

At dy/dx = 0 we get the value of x for which y is maximum.

80 - 16/3 x = 0

or, - 16/3 x = -80

or, x = 15 feet

Hence height =  40 - 4/3 x = 40 - 20 = 20feet

Maximum area = 2xh = 2×15×40 = 1200 square feet

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Disclaimer : The missing figure for the question is attached below.

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In linear equation, 60 hours does she spend on running in 30 days .

What in mathematics is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

                              The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

she runs =  12 miles

she take time to runs a mile  = 10 min.

 total time she take = 12 *   10  = 120 min.

  if she spend on running in 30 days =  120 * 30

                                                 = 3600 min

                                        1 hours = 60 min.

                                       3600 min  =  3600/60 ⇒ 60 hours

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Answer:

81920

Step-by-step explanation:

Finding the common ratio (r) :

Finding the 14th term :

Answer:

the 14th term in the sequence would be 81920.

Step-by-step explanation:

because you are multiplying by 2 each time to find the next multiply 80 by 2 giving you 160 again giving you 320 again giving you 640 than 1280 , 2560 ,5120 ,10240 ,20480 ,40960 ,finally the 14th number in the sequence multiplying 40960 by 2 would give you your answer of 81920.

Answer:

1. 68

2. 22

3. 9

4. 7

Step-by-step explanation:

hahsidijdkejeje

The probability that Joe and Matthew  will purchase no books on this visit to the bookstore is 0.125

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

Here we will find the joint probability distribution of number of books they will buy together.

We will find joint probability distribution of x+y.

Since,

P(x, y)=P(x).P(y)

P(X=x, Y=y)=P(X=x)P(Y=y)

P(0, 0)=0.125

P(0, 1)=0.25

P(0, 2)=0.125

P(1, 0)=0.0625

P(1, 1)=0.125

P(1, 2)=0.0625

P(2, 0)=0.0625

P(2, 1)=0.125

P(2, 2)=0.0625

Here we have to find the probability that they will purchase no book on this visit is they will buy zero book that means P(x=0, y=0)

From the above probability distribution P(x=0, y=0)=0.125

The probability that Joe and Matthew  will purchase no books on this visit to the bookstore is 0.125.

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Answer:

It is an arithmetic sequence. Common difference: -20

Step-by-step explanation:

First we can find out if it is an arithmetic sequence by seeing how you get from -3 to -23. Then we see to get from -3 to -23, we need to subtract -20. It's the same with -43, so the common difference is -20. And since arithmetic sequences are the only ones common differences, then this is an arithmetic sequence. I hope this helps and I hope it's not wrong, but I do not think it is.

Answer:

its 66.96

Step-by-step explanation:

to find the area we do the length x height of the shape

Answer: 57.97 cm squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the pieces are similar, the ratio of corresponding sides is same:

Answer:

1/36

Step-by-step explanation:

6^-2

~Use negative exponent rule [ a^-b = 1/a^b ]

1/6^2

1/36

Best of Luck!

Answer:

\(\huge\boxed{\sf \frac{1}{36}}\)

Step-by-step explanation:

\(\displaystyle = 6^{-2}\\\\We \ know \ that\ a^{-b} = \frac{1}{a^b} \\\\= \frac{1}{6^2} \\\\= \frac{1}{36} \\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

18i, -7-i, -6+18i

Step-by-step explanation:

1. √-324

first take out the negative as √-1=i

√-324= i√324

324 =2*162

324=2*2*81

324=2*2*9*9

i√324=i√2*2*9*9= i* 2*9= 18i

3.

-4+7i-3-8i combine like terms

-4-3 -8i+7i = -7-i

5.

(1+5i)(4-2i) distribute

1*4 -1*2i +5i*4 -5i*(-2i) multiply

4 -2i +20i +10i² but i²= -1 so

4 -2i +20i -10 combine like terms

-6 +18i

Step-by-step explanation:

There are two segments that have N as an endpoint and are both adjacent to <N:

segment SN and segment JN

If this is a question in trig, and the question is about the adjacent leg, then the answer is SN.

The question asks about an adjacent segment, not an adjacent leg, so both JN and SN are correct answers.

Answer: 10 AND A DEAD BODY DUDE ITS SO OBVIOUS

Step-by-step explanation: it’s 7 pls don’t report

The car can travel 360 km with 24 liters of gasoline.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A car consumes 6.8 liters of gasoline for every 102 kilometers traveled.

6.8 liters of gasoline = 102 km

1 liters of gasoline = 102 km/ 6.8

                               = 15

24 liters of gasoline = 24 x 15 = 360

Hence, The car can travel 360 km with 24 liters of gasoline.

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The rabbit could be at any of these 8 points: 3, 5, 7, 9, 11, 13, 15, or 17.

The rabbit could be numerous positions, given that each jump can be either positive or negative.

The possible positions are solved as follows

The rabbit is at 10 + 4 + 2 + 1 = 17

The rabbit is at 10 + 4 - 2 + 1 = 13

The rabbit is at 10 - 4 + 2 + 1 = 9

The rabbit is at 10 - 4 - 2 + 1 = 5

The rabbit is at 10 + 4 + 2 - 1 = 15

The rabbit is at 10 + 4 - 2 - 1 = 11

The rabbit is at 10 - 4 + 2 - 1 = 7

The rabbit is at 10 - 4 - 2 - 1 = 3

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Answer:

Solution

here,

X=?

now,

X+90+42=180 (Sum of angles of Triangle)

or, X=180-132

or, X=48

Hence the value of X is 48 degrees

Answer:

The value of the test statistic is z = -0.877.

Step-by-step explanation:

Testing the difference in mean time spent on housework between husbands and wives.

At the null hypothesis, we test if there is no difference, that is, the subtraction of the means is 0:

\(H_0: \mu_H - \mu_W = 0\)

At the alternate hypothesis, we test if there is a difference, that is, the subtraction of the means is different from 0.

\(H_1: \mu_H - \mu_W \neq 0\)

The test statistic is:

\(z = \frac{X - \mu}{s}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that \(\mu = 0\)

For the wives the mean was 7 hours/week and for the husbands the mean was 4.5 hours/week. The standard deviation of the differences in time spent on house work was 2.85.

This means that \(X = 4.5 - 7 = -2.5, s = 2.85\)

What is the value of the test statistic for testing the difference in mean time spent on housework between husbands and wives?

\(z = \frac{X - \mu}{s}\)

\(z = \frac{-2.5 - 0}{2.85}\)

\(z = -0.877\)

The value of the test statistic is z = -0.877.

Answer:

8x23 +6+3+2 = 195

Step-by-step explanation:

used PEMDAS <3 hope this helps