Help me out please an thank you

Answer:

51

Step-by-step explanation:

A^2+b^2=c^2

That's the formula

Answer:

After Rajesh took 493 stones, you would have 471 stones left.

Step-by-step explanation:

If you started with 964 stones and Rajesh took 493 stones, then you would have 964 - 493 = 471 stones left.

Explanation:

The rule to use here is log(x)-log(y) = log(x/y)

So,

log(6)-log(3) = log(6/3) = log(2)

Answer:

log(2)

Step-by-step explanation:

As we have,

log(a)−log(b)=log(a/b)

Replace 'a' as 6 and 'b' as 3.

Then we get,

\(\hookrightarrow log(6)-log(3)\\\\\hookrightarrow log(\frac{6}{3} )\\\\\hookrightarrow log(2)\)

Hey there ☺️

Please mark me as brainliest and follow me ..

here is ur answer ..

The probability that one marble of each color is selected without replacement is the fraction 2/15

The probability of an event without replacement implies that once an item is drawn, then we do not replace it back to the sample space before drawing another item.

Total possible outcome = 6

number of red marbles = 2

number of blue marbles = 2

numbers of green marbles = 2

probability of selecting three (3) marbles at random without replacement is evaluated as follows:

2/6 × 2/5 × 2/4

1/3 × 2/5 × 1/2

1/3 × 2/5

2/15.

Therefore, probability of selecting 3 marbles at random without replacement is the fraction 2/15.

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Answer:

3

Step-by-step explanation:

28/7=4

6/3=2

4+2=6

6*1/2=3

Paraenthies

Exponets

Mulitplication

Divide

Add

Subtract

Answer:

\({ \boxed{ \mathfrak{ \: answer : \: { \rm{f( - 3) = - 21}} }}}\)

Step-by-step explanation:

\({ \rm{f(x) = - {x}^{2} - 12 }}\)

• When x is -3:

\({ \rm{f( - 3) = - {( - 3)}^{2} - 12}} \\ \\ { \rm{f( - 3) = - 9 - 12}} \\ \\ { \rm{f( - 3) = - 21}}\)

Answer:

Identify the illustrated figure in each item and provide the correct name or description for each .Write your answer in the box.

Question 1

\(0.1x=0.2(x+2)\\\\0.1x=0.2x+0.4\\\\-0.1x=0.4\\\\x=\boxed{-4}\)

Question 2

\(\frac{1}{6}d+\frac{2}{3}=\frac{1}{4}(d-2)\)

Multiplying both sides by 12,

\(2d+8=3(d-2)\\\\2d+8=3d-6\\\\8=d-6\\\\d=\boxed{14}\)

Answer:

Alternate Interior angles: ∠3 and ∠6

Alternate Exterior angles: ∠2 and ∠7

Same Side Interior angle: ∠5 and ∠3

Same Side Exterior angle: ∠2 and ∠8

Supplementary angle: ∠8 and ∠7

Corresponding angle: ∠1 and ∠5

Answer:

2688 cm³

Step-by-step explanation:

2058×704/539 = 2688 cm³

Answer:

25.7 m

Step-by-step explanation:

Hello!

We have two sides each measuring 5m, so the length of the straight edges is 2(5m) or 10m

We also have two identical semi-circle circumferences, so if we find the circumference of the whole circle, we can find the total length of the curved edges.

Now, we can add up the two lengths:

Answer:

2

Step-by-step explanation:

You need to divide \(\frac{7}{8}\) by \(\frac{1}{3}\)

\(\frac{\frac{7}{8}}{\frac{1}{3}} = ({\frac{7}{8}) (\frac{1}{3} ) = \frac{(7)(8)}{(8)(1)} = \frac{21}{8}\)

\(\frac{21}{8}\) will need to become a decimal to get the amount

21 ÷ 8 = 2.625

Step-by-step explanation:

remember, the domain is the interval or set of all valid x values, the range is the interval or set of all valid y values (functional result values).

1.

domain : -infinity < x < +infinity

range : -1 <= y < +infinity

due to the x² term that part can never be negative. the minimum is 0, and then -1 gives us a overall minimum -1. and then up ... the sky is the limit ...

2.

domain : every value of x that does not turn (3x + 5) to 0 and therefore does not cause a 1/0 situation.

the only forbidden value of x is therefore

3x + 5 = 0

3x = -5

x = -5/3

so, (-infinity < x < -5/3) OR (-5/3 < x < +infinity)

range : -infinity < y < +infinity

3.

domain : -infinity < x < +infinity

range : 0 <= y < +infinity

due to the x⁴ term (even exponent) all results will be positive starting with 0. similar to 1.

4.

this is 1/(2x) as I understand it.

similar to 2. we must avoid at 1/0 situation.

so, x must not be 0. everything else is possible

domain : (-infinity < x < 0) OR (0 < x < +infinity)

range : -infinity < y < +infinity

5.

everything is allowed and possible.

domain : -infinity < x < +infinity

range : -infinity < y < +infinity

Answer: The  length of a rectangle is 5 more than two times the width. If the width of the rectangle  is represent by x  then what is the area of the rectangle?  

Step-by-step explanation:

Answer: 3 feet

Step-by-step explanation: The area of a rectangular garden can be represented by the function

f(x) = x(2x + 5)

Find the area if the length, x, is 3 feet.

Answer:

<ghf and <lkm

Step-by-step explanation:

Supplementary angles are two angles with a sum of 18 0 ∘ 180 ^\circ 180∘ . A common case is when they lie on the same side of a straight line.

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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Image is too blurred.

Try taking another one.

Answer:

Step-by-step explanation:

I will be using all caps for variables

Solve for L

V = LWH

/ WH  /WH

V/WH = L

Solve for H

V = LWH

/LW  /LW

V/LW = H

Answer: -2/15 according to the calculator.

Answer:

-1.9681

the 81 is repeating

Step-by-step explanation:

This integral represents the arc length of the curve y = tan(x) for 0 ≤ x ≤ π/6.

To express the arc length of the curve y = tan(x) for 0 ≤ x ≤ π/6, we will use the arc length formula for parametric curves. The formula is:
Arc length = ∫(√(dx/dt)² + (dy/dt)²) dt
Here, x and y are both functions of a parameter t. In this case, we can use t = x as our parameter. Therefore:
x(t) = t
y(t) = tan(t)
Now, we differentiate x(t) and y(t) with respect to t:
dx/dt = 1
dy/dt = sec²(t)
Now, substitute these derivatives into the arc length formula:
Arc length = ∫(√(1² + sec²(t)²)) dt
Simplify the integrand:
Arc length = ∫(√(1 + sec⁴(t))) dt
Since we want to express the arc length for 0 ≤ x ≤ π/6, we need to consider the bounds of the integral with respect to t. Since t = x, the bounds for t are the same:
Arc length = ∫[0, π/6] (√(1 + sec⁴(t))) dt
This integral represents the arc length of the curve y = tan(x) for 0 ≤ x ≤ π/6.

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Zoe walks from her house to a bus stop that is 460 yards away. The varying distances would depend on where Zoe begins her walk. if she starts closer to the bus stop, she would walk a shorter distance.

The varying distances would refer to the different distances Zoe might walk on different occasions. For example, she might take different routes or make detours, causing the actual distance she walks to vary.

However, without more information about Zoe's specific routes or circumstances, it is not possible to provide more detailed information about the varying distances.

However, if she starts closer to the bus stop, she would walk a shorter distance.

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Answer:

1080

Step-by-step explanation:

(n-2) × 180

(8-2) × 180= 1080

The particular solution satisfying the initial condition y(0) = 2 is y(x) = 2e^(-8x).

To solve the separable differential equation dy/dx = -8y and find the particular solution satisfying the initial condition y(0) = 2, follow these steps:

Step 1: Identify the given equation and initial condition
The given equation is dy/dx = -8y, and the initial condition is y(0) = 2.

Step 2: Separate the variables
To separate the variables, divide both sides by y and multiply by dx:
(dy/y) = -8 dx

Step 3: Integrate both sides
Integrate both sides with respect to their respective variables:
∫(1/y) dy = ∫-8 dx

The result is:
ln|y| = -8x + C₁

Step 4: Solve for y
To solve for y, use the exponential function:
y = e^(-8x + C₁) = e^(-8x)e^(C₁)

Let e^(C₁) = C₂ (since C₁ and C₂ are both constants):
y = C₂e^(-8x)

Step 5: Apply the initial condition
Now, apply the initial condition y(0) = 2:
2 = C₂e^(-8 * 0)
2 = C₂

Step 6: Write the particular solution
Finally, substitute the value of C₂ back into the equation:
y(x) = 2e^(-8x)

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Based on the provided output, the conclusion that can be drawn is that the data provide sufficient evidence to reject the null hypothesis and conclude that the mean number of minutes exercised per week is lower for men than for women.

In hypothesis testing, the null hypothesis assumes that there is no difference between the mean number of minutes exercised per week for men and women. The alternative hypothesis, in this case, is that the mean number of minutes per week is lower for men.

The t-value of -1.9909 and the associated p-value of 0.02421 indicate that the test statistic falls in the critical region at the 5% significance level. Since the p-value is less than the significance level, we reject the null hypothesis. This means that there is sufficient evidence to support the alternative hypothesis that the mean number of minutes exercised per week is lower for men than for women.

Furthermore, the 95 percent confidence interval upper bound for the difference in means (-0.6750134) being negative supports the conclusion that the mean number of minutes exercised per week is lower for men.

Therefore, the correct conclusion is option a: The data provide sufficient evidence to reject the null hypothesis and to conclude that the mean number of minutes exercised per week is lower for men than for women.

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Answer:

59

Step-by-step explanation:

Angle degrees in a triangle add up to 180

66+55+x=180

121+x=180

x=59

Answer

59°

Step-by-step explanation:

A triangle's angles add up to 180°.

So to find the last angle of the shape, you need to add the given angles and then subtract the answer from 180° looking like this:

66° + 55° = 121°

180° - 121° = 59°