The stem-and-leaf plot shows the weights (in pounds) of yellowfin tuna caught during a fishing contest. How many tuna weigh less than 90 pounds?

Answer:

Needed to make one band = 3/5 / 6 meters.

The solution is 1/10 meters.

Step-by-step explanation:

The expression is 3/5 / 6

= 3/5 * 1/6

= 3/30

= 1/10

Answer:

6 x (3/5)

1/10

Step-by-step explanation:

10 maybe? I don't really know but maybe 10 will be right?????

Answer:

13841287201

Step-by-step explanation:

7^6=117649

117649^2=13841287201

Answer:

\(\sf 7^{12}\)

Step-by-step explanation:

Exponent rule:

         \(\sf \boxed{\bf (a^m)^n=a^{m*n}}\)

To simplify \(\sf(7^2)^6\) multiply the powers.

\(\sf (7^6)^2=7^{6*2}\)

        \(\sf = 7^{12}\)

Answer:

-8/5 = -1.6

-5/8 = -0.625

-1/2 = --0.5

Step-by-step explanation:

The number that is less then -0.625 is -8/5 which is -1.6

Therefore, Diego has 1.8 kilograms of carrots left.

Diego initially had 3 kilograms of carrots. He used 0.8 kilograms for the soup and 0.4 kilograms (400 grams) for the carrot cake.

So the total amount of carrots he used is:

0.8 + 0.4 = 1.2 kilograms

To find out how many kilograms of carrots he has left, we can subtract the amount he used from the initial amount:

3 - 1.2 = 1.8 kilograms

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Answer:

Yes

20 cents

Step-by-step explanation:

Assuming the cost of peanuts is 30 cents per ounce.

We have to find the cost of 1 pound of peanuts.

We know that,

1 pound = 16 ounces

$1 = 100 cents

Cost of 1 pound peanuts = 30 x 16

                                         = 480 cents = $4.80

Yes, $5.00 is enough to buy 1 pound peanuts.

Money left = $5- $4.80 = $0.20

Money left is equal to 20 cents.

It's rigged

The vertical line test can be used to determine whether a graph represents a function

Answer:

48 m^2

Step-by-step explanation:

Since this is a parallelogram, you can think of it as taking the triangle off of the left side and reattaching it on the right side to make a rectangle. After you visualize it as a rectangle, you just have to multiply 8 by 6 to get 48 meters squared.

Answer:

x = 2\(\sqrt{5}\)

Step-by-step explanation:

The radius of the circle = 4 + 2 = 6

Thus the radius is from the centre to the top of segment x

Using Pythagoras' identity in the right triangle formed, that is

x² + 4² = 6²

x² + 16 = 36 ( subtract 16 from both sides )

x² = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = 2\(\sqrt{5}\)

The amount that the painter will charge is $519.75.

From the information illustrated, the painter can paint 175 square feet per hour and she charges $0.54 per square foot and then paints for 5.5 hours.

The amount that she will charge will be:

= Number of square foot × Amount charged × Number of hours

= 175 × $0.54 × 5.5

= $519.75

The amount is $519.75.

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The coordinates of the other vertices are (2a, 2b) and (2a. 0) after using the mid-point theorem.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

From the data, we can draw a triangle as shown in the attached picture.

Let the coordination of B is at (0, 0)

The coordinate of point A:

A(x, y):

a = (x + 0)/2

x = 2a

y = 2b

A(x, y): (2a, 2b)

The coordinate of point C:

C(X, Y):

2a = (X + 2a)/2

4a = X + 2a

X = 2a

b = (Y + 2b)/2

Y = 0

Thus, the coordinates of the other vertices are (2a, 2b) and (2a. 0) after using the mid-point theorem.

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\(( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2=\cfrac{1-\cos(\theta )}{1+\cos(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2\implies \csc^2(\theta )-2\csc(\theta )\cot(\theta )+\cot^2(\theta ) \\\\\\ \cfrac{1^2}{\sin^2(\theta )}-2\cdot \cfrac{1}{\sin(\theta )}\cdot \cfrac{\cos(\theta )}{\sin(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\implies \cfrac{1}{\sin^2(\theta )}-\cfrac{2\cos(\theta )}{\sin^2(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\)

\(\cfrac{\cos^2(\theta )-2\cos(\theta )+1}{\sin^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{\sin^2(\theta )} \\\\\\ \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{1-\cos^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1]}\)

\(\cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1^2]}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos(\theta )-1][\cos(\theta )+1]} \\\\\\ \cfrac{\cos(\theta )-1}{-[\cos(\theta )+1]}\implies \cfrac{-[\cos(\theta )-1]}{\cos(\theta )+1}\implies \cfrac{1-\cos(\theta )}{1+\cos(\theta )}\)

Answer: The answer is B

Step-by-step explanation:

-(5n-1\right)\left(25n^2+5n+1)

u gotta flip it and the answer is B on your screen!!!

There are 24 different ways to arrange the cards in the boxes.

How to arrange the card in the box?

Because there are four boxes and four cards, there are four ways to arrange the first card, three ways to arrange the second card (because one box is already occupied), two ways to arrange the third card, and one method to arrange the fourth card. As a result, the total number of possible ways to arrange the cards in the boxes is:

4 x 3 x 2 x 1 = 24

So there are 24 different ways to arrange the cards in the boxes.

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Answer:

d) n^2 + n

Step-by-step explanation:

so n consists of two blocks. in stage two, n doubles into four blocks and there are two other blocks as well. n doubling indicates that n is squared, and because n consists of two blocks, n is just added to stage two, so stage two consists of six blocks. (i hope this makes sense..)

Answer:

$655.61 is the new price. it was decreased in price by 65%

Step-by-step explanation:

A percentage is a number or ratio that can be expressed as a fraction of 100.

The percent discount on a damaged compact car is 35%.

A percentage is a number or ratio that can be expressed as a fraction of 100.

We have fractions for different percentages.

50% = 1/2

20% = 1/5

25% = 1/4

10% = 1/10

We have,

The selling price of the compact car = $27,500

The discounted price of the damaged compact car = $17,875

The discounted percentage of the car:

= (27,500 - 17,875) / 27,500 x 100

= 9625 / 27500 x 100

= 35%

Thus the percent discount on a damaged compact car is 35%.

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Answer:

m = 3

Step-by-step explanation:

Answer:

m=3

Step-by-step explanation:

Answer:

= 1

Step-by-step explanation:

0.4131 + 0.5868 = 0.999 --> 1

Answer:

5.6 cm

Step-by-step explanation:

use the cosine ratio to get the answer since AB is the adjacent side and the hypotenuse has already been given

The best estimate of ∫(4 to 11) f(x) dx using a trapezoidal sum with 3 subintervals can be found by dividing the interval into three equal subintervals and applying the trapezoidal rule.

The trapezoidal rule is a method for approximating the definite integral of a function over an interval. It involves dividing the interval into subintervals and approximating the area under the curve by the sum of trapezoids formed between adjacent points.

In this case, we are given the interval from 4 to 11 and want to estimate the integral of f(x) over this interval using a trapezoidal sum with 3 subintervals. To do this, we divide the interval into three equal subintervals: [4, 6], [6, 8], and [8, 11]. Then, we apply the trapezoidal rule to each subinterval and sum up the results.

The trapezoidal rule states that the area under each subinterval can be approximated as (b-a) * (f(a) + f(b)) / 2, where a and b are the endpoints of the subinterval.

By applying the trapezoidal rule to each subinterval and summing the results, we obtain the best estimate of the integral.

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RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

According to the scientists, RNA is considered the best candidate for the first life-form due to the fact that RNA is capable of self-replication and catalysis. This is possible because RNA can act both as a template to produce copies of itself and also as an enzyme to accelerate chemical reactions. These abilities suggest that RNA could have played a role in the emergence of the first living organisms on Earth.

An RNA molecule has the ability to catalyze reactions, which means that it can speed up chemical reactions without itself being altered. Thus, it is capable of serving as an enzyme. Scientists believe that the first life-form must have been capable of self-replication and catalysis, and RNA is capable of both functions.

This capability is significant because it is fundamental for the origin of life. Hence, RNA is believed to have played a significant role in the emergence of the first living organisms on Earth.

To conclude, RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

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RNA is considered the best candidate for the first life-form by scientists because RNA is capable of self-replication and catalysis.

The correct option is the first one due to following reasons:

As a result, scientists believe that RNA may have played a crucial role in the origins of life on Earth.

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Step-by-step explanation:

(4^3)×(5^2)

that is the answer

(2^6)•(5^2) is correct

Answer:

Hence, the square root of 8 is not a rational number. It is an irrational number.

Step-by-step explanation:

according to my math book.. thanks me later

The slope field shown in the question is that of a differential equation of the form y'= f(x,y).

The solutions of this equation are the curves in the slope field that emanate from each point and that have the same slope as the line at that point. Thus, for each point (x,y) in the slope field, it is possible to calculate the particular solution that passes through that point.

The first statement is false because it involves the second derivative of the particular solution, which cannot be determined from the slope field. The second statement is false because a concave up graph requires that the derivative of the solution be increasing at x=0, but the slope field does not indicate the sign of the derivative of the particular solution. The third statement is false because a concave up graph requires that the derivative of the solution be decreasing at x=-1, which cannot be determined from the slope field. The fourth statement is false because a concave down graph requires that the derivative of the solution be increasing at x=0, which cannot be determined from the slope field.

In summary, none of the statements can be determined to be true or false from the slope field shown.

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Answer:

The formula for the volume of a sphere is 4⁄3πr³. For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h.

Answer:

\(\huge\boxed{\sf y = \frac{41}{5} \ OR \ y = 8\frac{1}{5} }\)

Step-by-step explanation:

\(\sf 2y-15 = \frac{7}{5} \\\\Adding \ 15 \ to \ both \ sides\\\\2y = \frac{7}{5} + 15\\\\2y = \frac{7+75}{5} \\\\2y = \frac{82}{5} \\\\Dividing \ both \ sides \ bu 2\\\\y = \frac{82}{5*2} \\\\y = \frac{41}{5}\)

Hope this helped!

For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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The maximum distance the mouse can jump is 30.0029 ft. This means that the mouse can jump 30.0029 feet horizontally.

Given that y=−0.2222x2+1.3333x represents how high (in feet) the mouse can jump for a relatively long hop modeled, where x represents how far (in feet) the mouse can jump.

To determine how high the mouse can jump, we are given the equation of the hop as; y = −0.2222x² + 1.3333x

We will use the given equation to find out the maximum height attained by the mouse. We are given that a relatively long hop can be modeled by y=−0.2222x²+1.3333x.

Using the quadratic formula, we can determine the maximum height by evaluating the value of x using the formula;

x = -b/2a

Where a = -0.2222 and b = 1.3333x = -1.3333 / 2(-0.2222) = 30.0029 ft

We can substitute this value into the equation to determine how high the mouse can jump.

y = −0.2222(30.0029)² + 1.3333(30.0029)≈ 5.00 ft.

Therefore, the maximum height the mouse can jump is 5.00 ft.

To determine how far the mouse can jump horizontally, we need to determine the value of x that maximizes y.

We can achieve this using the formula;

x = -b/2a

Where a = -0.2222 and b = 1.3333x = -1.3333 / 2(-0.2222) = 30.0029 ft.

Therefore, the maximum distance the mouse can jump is 30.0029 ft.

This means that the mouse can jump 30.0029 feet horizontally.

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The probability of obtaining 3 heads in four flips of a fair coin is 1/4.

The probability of obtaining 3 heads in four flips of a fair coin can be calculated using the binomial probability formula. The formula is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^{(n - k)}\)

where P(X = k) is the probability of obtaining k successes (in this case, 3 heads), and n is the total number of trials (in this case, 4 flips).

p is the probability of success on a single trial (in this case, 0.5 since the coin is fair), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

Plugging in the values, we get:

\(P(X = 3) = (4 choose 3) * 0.5^3 * (1 - 0.5)^{(4 - 3)}\)

= 4 * 0.125 * 0.5

= 0.25

Therefore, the probability of obtaining 3 heads in four flips of a fair coin is 1/4 or 0.25

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