What is the value of the expression?

Drag and drop the answer into the box to match the expression.

0.3(14−1)+0.35
I will give branliest to who gets correct answer

Answer: 8 hours

Step-by-step explanation:  240 mph ÷ 30 = 8 hours

Answer:

Let p= the number of phones sold

Let a= the number of accessories sold

Step-by-step explanation:

10p+4a=126

a=p+7

The system of equation should be 10p+4a=126 and a=p+7

Given that,

Based on the above information, the equation is as follows:

Here we assume  p= the number of phones sold

And,  a= the number of accessories sold

So, the equations are 10p+4a=126 and a=p+7

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Answer: -2115

Step-by-step explanation:

We can use the distributive property to simplify the calculation of -45 × 47 as follows:

\(\huge \boxed{\begin{minipage}{4 cm}\begin{align*}-45 \times 47 &= -45 \times (40 + 7) \\&= (-45 \times 40) + (-45 \times 7) \\&= -1800 - 315 \\&= -2115\end{align*}\end{minipage}}\)

Refer to the attachment below for explanation

Therefore, -45 × 47 = -2115 when using the distributive property.

________________________________________________________

To solve this problem using the distributive property, we can break down -45 into -40 and -5. Then we can distribute each of these terms to 47 and add the products:

\(\begin{aligned}-45 \times 47 &= (-40 - 5) \times 47 \\ &= (-40 \times 47) + (-5 \times 47) \\ &= -1{,}880 - 235 \\ &= \boxed{-2{,}115}\end{aligned}\)

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

Calculate the value of x. Give your answer ... Hyp. 5.8 m. Opp. 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... the value of x. Give your answer correct to 1 decimal place. ... a. Diagram NOT accumtely drawn. 9,6 cm. 6.4 cm. A. Hyp. To. Aaj. LMN is a right-angled triangle. MN = 9.6 cm. ... x = ton​-14.5.

Step-by-step explanation:

please be right

The proportion that can be used to find the length of the actual wall, in feet, is x/4 inches = 10 feet/1 inch.

Given that Sheena made a scale drawing of her classroom with a scale of 1 inch = 10 feet, and the length of the wall in the drawing is 4 inches, we can set up a proportion to find the length of the actual wall in feet.

Let x represent the length of the actual wall in feet.

Using the scale of the drawing, we can set up the following proportion:

x feet / 4 inches = 10 feet / 1 inch

To solve for x, we can cross-multiply and solve the resulting equation:

x feet * 1 inch = 4 inches * 10 feet

x = (4 inches * 10 feet) / 1 inch

x = 40 feet

Therefore, the proportion that can be used to find the length of the actual wall, in feet, is x/4 inches = 10 feet/1 inch.

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The length can be listed in order from longest to shortest.

First, we need to convert all the measurements to a common unit. We can choose feet or inches, but let's convert everything to inches to avoid working with mixed units.

6 feet 8 inches = (6 x 12) + 8 = 80 inches

5 feet 10 inches = (5 x 12) + 10 = 70 inches

6 feet 4 inches = (6 x 12) + 4 = 76 inches

Now we can list the lengths in order from longest to shortest:

80 inches > 76 inches > 70 inches

So the order from longest to shortest is:

6 feet 8 inches > 6 feet 4 inches > 5 feet 10 inches

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Answer:

answers attached

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

I believe this would be right

The probability the coin lands tails up exactly two times is 3/8

When a coin is flipped three times, the sample space is;

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

In the above sample space, there are 3 occurrences where the coin lands tail up, out of the 8 occurrences.

So, the probability is:

P = 3/8

Hence, the probability the coin lands tails up exactly two times is 3/8

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Answer:

2.19

Step-by-step explanation:

\( {5}^{2x - 1} = {12}^{x} \\ \\ taking \: log \: on \: both \: sides \\ \\ log {5}^{2x - 1} = log {12}^{x} \\ \\ (2x - 1)log {5} = x \: log \: 12 \\ \\ 2x \: log \: 5 - log \: 5 = x \: log \: 12 \\ \\ x \: log \: 5 ^{2} -x \: log \: 12 = log \: 5 \\ \\ x \: (log \: 25 -log \: 12) = log \: 5 \\ \\ \\ x = \frac{log \: 5 }{(log \: 25 -log \: 12) } \\ \\ x = \frac{0.698970004}{1.39794001 -1.07918125 } \\ \\ x = \frac{0.698970004}{0.318758763 } \\ \\ x = 2.19278679 \\ \\ x \approx 2.19\)

Answer:

x = 10.8

Step-by-step explanation:

9 ÷ x = x ÷ (9 + 4)

9 × (9 + 4) = x × x

9 × 13 = x²

117 = x²

x = 10.81665383

Answer:

P(green or red) = 935/2721

P(blue, red, or yellow) = 409/907

P(not brown) = 2236/2721

P(not green) = 2171/2721

Step-by-step explanation:

Probability in this problem can be represented by the ratio:

\(\dfrac{\text{part}}{\text{whole}}\)

We can apply this to the first question:

The probability of choosing a green or red M&M can be represented with:

\(\dfrac{\# \text{ of red and green M}\& \text{Ms}}{\text{total } \# \text{ of M}\& \text{Ms}}\)

(Note: '#' means 'number')

We can fill this ratio in with the values given in the table.

\(\dfrac{385 + 550}{2721}\)

This simplifies to:

\(\dfrac{935}{2721}\)

So, the probability of choosing a green or red M&M is 935/2721.

⎯⎯

We can apply this same concept to the rest of the questions.

Therefore, the series 4/5 - 4/7 + 4/9 - 4/11 + 4/13 - ... is convergence in nature.

To test the convergence or divergence of the given series: 4/5 - 4/7 + 4/9 - 4/11 + 4/13 - ..., we can use the alternating series test. The alternating series test states that if a series has the form (-1)^n b_n, where b_n is a positive sequence that is decreasing and approaches zero as n approaches infinity, then the series converges.

In the given series, we have b_n = 4/(2n+3), which is a positive sequence that approaches zero as n approaches infinity. To see that b_n is decreasing, we can note that b_{n+1}/b_n = 2(2n+3)/(2n+5) < 1 for all n, since the numerator is always less than the denominator. Therefore, b_n is a positive, decreasing sequence that approaches zero as n approaches infinity.

Furthermore, the series has the form (-1)^n b_n, where the sign alternates between positive and negative. Therefore, we can apply the alternating series test, which tells us that the series converges.

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The obtained value must be compared against the critical value. Hence, the correct option is b.

In hypothesis testing, the critical value is a threshold or cutoff point that is determined based on the chosen significance level (alpha level) and the distribution of the test statistic. It helps in determining whether to reject or fail to reject the null hypothesis.

After calculating the test statistic (such as z-score or t-statistic) from the observed data, it is compared to the critical value associated with the chosen significance level.

If the test statistic exceeds the critical value, it falls into the critical region, leading to the rejection of the null hypothesis.

If the test statistic is less than or equal to the critical value, it falls into the non-critical region, resulting in a failure to reject the null hypothesis.

Therefore, the obtained value must be compared against the critical value to make a decision in hypothesis testing. Hence, the correct answer is option b.

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Answer:

=£75

Step-by-step explanation:

ratio=5(lottie):1(Ollie)

we do 15/1 which will stay the same as 15

15/1=15

Then we times 15 by 5( lotties share)=75

15*5=75

Therefore lottie got £75

=£75

Answer:

75 : 15

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

The 14C:12C ratio can be used to date fossils that are up to approximately 50,000 years old. This is because the half-life of carbon-14 (14C) is about 5,730 years, which limits its effective dating range.

In summary, the 14C:12C ratio is used to date fossils that are up to approximately 50,000 years old due to the half-life of carbon-14 (14C).

Carbon-14 is a radioactive isotope of carbon that is formed in the upper atmosphere through the interaction of cosmic rays with nitrogen-14. It is incorporated into the carbon cycle and taken up by living organisms through photosynthesis or consumption of other organisms. While an organism is alive, the 14C:12C ratio remains relatively constant. However, once the organism dies, it no longer takes in carbon-14, and the 14C atoms in its remains undergo radioactive decay. By measuring the 14C:12C ratio in a fossil sample and comparing it to the 14C:12C ratio in the atmosphere at the time of death, scientists can estimate the age of the fossil. However, the effectiveness of carbon-14 dating diminishes as the age of the sample exceeds around 50,000 years, as the amount of remaining carbon-14 becomes too small to accurately measure.

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Answer: y= 3/2x - 6

Step-by-step explanation:

The equation is y=mx + b

The y-intercept is when x = 0, so on the table y-intercept = -6

The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2

to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}\)

now, the y-intercept occurs when x = 0, recheck the picture below.

Answer:

x = -1

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ -10 + x + 4 - 5 = 7x - 5

Then the value of x will be,

→ -10 + x + 4 - 5 = 7x - 5

→ -11 + x = 7x - 5

→ 7x - x = -11 + 5

→ 6x = -6

→ x = -6/6

→ [ x = -1 ]

Hence, the value of x is -1.

Answer:

83

Step-by-step explanation:

The length of the wire is 83meter.

Given that,

A wire is attached to the top of a tower and to a point on the ground that is 35 m from the base of the tower.

If the wire makes a 65-degree angle with the ground.

We have to determine,

How long is the wire?

According to the question,

The computation of the length of the wire is shown below:

Let, the length of the wire be x,

There is 35m from the base of the tower,

And, the angle with the ground is 65 degree

Therefore,

The length of the wire is given by,

\(cos65 = \dfrac{35}{x}\\\\\)

Substitute the value of cos65 in the equation,

\(cos65 = \dfrac{35}{x}\\\\x = \dfrac{35}{cos65}\\\\x = \dfrac{35}{0.42}\\\\x = 83.33 \ meter\)

Hence, The length of the wire is 83meter.

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The part of the merge sort that is accomplished with recursion is option a, where recursion is used to break the list down repeatedly until it gets to one element.

Merge sort is a divide-and-conquer algorithm, where the original list is divided into smaller sublists until each sublist contains only one element. This process is accomplished through recursive calls, where the function is called repeatedly on smaller sublists until each sublist contains only one element.

Once the sublists are reduced to single elements, the merge sort algorithm uses another recursive function to merge the sublists back together in sorted order.

Recursion is not used to find the correct order of each element, as this is accomplished during the merging phase. Similarly, recursion is not used to determine if the list needs to be sorted, as merge sort is always used to sort a list.

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Answer:

Recursion is used to break the list down repeatedly until it gets to one element.

Step-by-step explanation:

Here is the answer

I hope it helped you

The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

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Answer:

Step-by-step explanation:

41. The product of 0.25 and 0.4 is 0.100, with three decimal places. Trailing zeros are usually dropped--except when they are used to indicate significant digits in a calculation. Hence, the usual presentation of the result is ...

  0.25 × 0.4 = 0.1

__

42. To find total beats, multiply beats per second by seconds.

  (52 beats/second)(35.5 seconds) = (52)(35.5) beats = 1846 beats

The hummingbird's wings will beat 1846 times in 35.5 seconds.

__

43. To find total sales for the week, multiply the price of a tin of popcorn by the number sold in the week (42).

Answer:

41) 0.25 × 0.4 = 0.1

It has only one decimal place in the product because 0.25 has two significant figures and 0.4 has one significant figure. When multiplying, the product will always match with the number that has the least amount of significant figures. Since 0.4 has one significant figure, the product, 0.1, will also have one significant figure.

42) 35.5 s × 52 times/s = 1,846 times

43) 42 tins × $9.25/tin = $388.50

Hope that helps.

Answer:

Step-by-step explanation:

Perimeter is all sides added together...

X+3+2x-1+3x+4

Combine like terms

X+2x+3x.. 6x

3-1+4.. 2+4.. 6

Answer:

6x+6

Answer:

looks right

Step-by-step explanation:

Answer:

you are correct

Step-by-step explanation:

We are given two plots of normal distributions A and B.

The mean of a normal distribution is located at the center of the plot.

Since the centers of both of the normal distributions A and B seems to be aligned, therefore, they both seems to have equal means.

The standard deviation basically determines the shape of the distribution.

As you can see, the normal distribution A is more spread out and thus has a larger standard deviation than normal distribution B.

Therefore, the two correct options are

• The means of A and B are equal.

• A has larger standard deviation.

The 95% CI for proportion of driver that do not wear seat belt is 0.255 < p < 0.405.

What is Confidence interval?

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, however other levels, such 90% or 99%, are occasionally used when computing confidence intervals.

As given,

n = 150 = drivers

x = 100 = wear seat belts.

We have to find 95% confidence interval for proportion P that do not wear seat belt.

From 150 we have 100 wear seat belts

Not wear seat belt = 150 - 100

Not wear seat belt = 50

P = 50/150

P = 0.33

95% confidence interval for P is

CI = (P - zα/2√(P(1 - P)/n), P + zα/2√(P(1 - P)/n))

For 95% CI, zα/2 = 1.96

Substitute values,

CI = (0.33 - 1.96√(0.33(1 - 0.33)/150), 0.33 + 1.96√(0.33(1 - 0.33)/150))

CI = (0.33 - 0.075, 0.33 + 0.075)

CI = (0.255, 0.405)

Therefore 95% CI for proportion of driver that do not wear seat belt is 0.255 < p < 0.405.

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Given

To find the height of the tree.

Explanation:

It is given that,

From the figure, it is clear that ΔABC and ΔADE.

That implies,

Hence, the height of the tree is 100ft.

Answer:

BE=19 AD=29

Step-by-step explanation: