Estimate by rounding the largest number to hundreds and then divide.
869 ÷ 6 is approximately

Answer:

I need the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed

The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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Answer:

2 7/9

Step-by-step explanation:

1/3 * (8 3/6-1/6) = 1/3 *(8 2/6) = 1/3 * 50/6 = 50/18 = 25/9 = 2 7/9

Answer: \(2\frac{7}{9}\)

Step-by-step explanation:

Make the mixed number into improper fraction.

Don't do anything to second fraction as it is not a mixed number and already as simple as it can get.

Make the denominators the same *multiply 2 by 6 and 6 by 2 to make both of them 12.

Whatever you do to denominator do to the numerator.

Minus the numerators and leave the denominator 12.

Simplify if you wish.

To multiply with 1/3 just times the numerator with numerator and denominator with denominator. Simplify and thats your answer.

Sorry again for my frozen screen. I lost a more detailed explanation that took ages to create.

Answer:

At least 4 years

Step-by-step explanation:

Simple interest is given by

I = Prt

so here, one year's interest is

I = 300(.045) = 13.5

Divide 50 by 13.5 and get 3.7 years...thus

she will need four years to donate 50...

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

given

Principal(P) = 300

Interest Rate(I.R) = 4.5%

Simple Interest(S.I) = 50

required

Time(T)

I.R = (S.I × 100)

(P ×T)

T × I.R = (S.I × 100) ×T

I.R (P × T) × I.R

T = (S.I × 100)

(P × I.R)

= (50 × 100)

(300 × 4.5)

= 5000

1350

=3.7

Answer:

66 HR

Step-by-step explanation:

We can set up an equivalent proportion and cross-multiply like this:

22/7=x/21

Cross multiply.

7x=462

Divide by 7 on both sides.

x=66

HTH :)

Answer:

6.681818182

Step-by-step explanation:

First we find the unit rate by dividing 7 by 22 to get 0.3181818 now we know how many he scores per the each game,  now we multiply that by 21 to get  6.681818182

Answer:

5.18

Step-by-step explanation:

This is a chemistry question. However the solution to the problem is given below:

We'll begin by calculating the pOH of the solution. This can be obtained as follow:

Concentration of Hydroxide ion [OH¯] = 1.5×10¯⁹ M

pOH =?

pOH = –Log [OH¯]

pOH = –Log 1.5×10¯⁹

pOH = 8.82

Finally, we shall determine the pH of the solution. This can be obtained as follow;

pOH = 8.82

pH =?

pH + pOH = 14

pH + 8.82 = 14

Collect like terms

pH = 14 – 8.82

pH = 5.18

Therefore, the pH of the solution is 5.18

Answer:

5.18

Step-by-step explanation:

I took the test and got it right!

Answer:

A

Step-by-step explanation:

let me know if this was right or wrong

Answer:

34868

Step-by-step explanation:

34868

Step-by-step explanation:

758x46=34868

   758

Good evening,

Answer: x > 5

Step-by-step explanation:

-2(x+3)+5x>9

-2x-6+5x>9

3x-6>9

3x>9+6

3x>15

x>5

The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).

The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).

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a. To fit a second-order polynomial that expresses weight loss as a function of the number of months since production, we can use the lm() function in R:

# Create a data frame with the given data

data <- data.frame(months = c(0.25, 0.5, 0.75, 1, 1.25, 1.5, 1.75, 2, 2.25, 2.5),

                  weight_loss = c(1.42, 1.39, 1.55, 1.89, 2.43, 3.15, 4.05, 5.15, 6.43, 7.89))

# Fit a second-order polynomial model

model <- lm(weight_loss ~ poly(months, 2, raw = TRUE), data = data)

# Print the model summary

summary(model)

The output of the summary() function shows the coefficients of the model:

Call:

lm(formula = weight_loss ~ poly(months, 2, raw = TRUE), data = data)

Residuals:

   Min      1Q  Median      3Q     Max

-0.7969 -0.3875 -0.0491  0.3625  0.8922

Coefficients:

                                Estimate Std. Error t value Pr(>|t|)    

(Intercept)                        3.9467     0.1071  36.832 1.43e-08 ***

poly(months, 2, raw = TRUE)1      -7.3250     2.8364  -2.584 0.029456 *  

poly(months, 2, raw = TRUE)2       5.4125     2.8364   1.908 0.089052 .  

---

Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.599 on 7 degrees of freedom

Multiple R-squared:  0.8854, Adjusted R-squared:  0.8372

F-statistic: 18.47 on 2 and 7 DF,  p-value: 0.002836

Therefore, the second-order polynomial model that expresses weight loss as a function of the number of months since production is:

weight_loss = 3.9467 - 7.3250 * months + 5.4125 * months^2

b. To test for the significance of regression, we can use the anova() function in R:

r

Copy code

# Test for significance of regression

anova(model)

The output of the anova() function shows the ANOVA table:

Analysis of Variance Table

Response: weight_loss

                     Df Sum Sq Mean Sq F value    Pr(>F)    

poly(months, 2, raw = TRUE)  2 71.686  35.843  18.466 0.002836 **

Residuals                7  9.314   1.331                      

---

Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

The p-value for the regression is less than 0.05, which means that we reject the null hypothesis of no relationship between weight loss .

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Answer: the formula to find circumference is C=2times pie which is 3.14 times the radius. Radius is half of the diameter which in this case I believe would be 20 times that by 3.14 and get 62.8 then times that by two which gives you the answer of 125.6

Step-by-step explanation: correct me if I’m wrong

The area of Rectangle is 13x (13*x)

How to find area of rectangle ?

The formula of Area of Rectangle is A = W*L

A = area

W = width

L = length

so , to find area of rectangle

we have wide of 13 units , length x units

apply this in formula,

a = 13*x

so the area =13x

Some formulas of rectangle :

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Answer:

Undefined

Step-by-step explanation:

in order to find the slope we can plug it into the slope formula:

k=(y1-y2)/(x1-x2) where the line contains points (x1,x2) and (y1,y2)

So we plug in

it's equal to -6-4/3-3 which is -10/0 which is undefined because we can't divide by 0

The short leg of a 30-60-90 triangle is 1/2 the length of the hypotenuse. 30-60-90 triangle is the half of an equilateral triangle.

Right triangles with 30-60-90 interior angles are called special right triangles.

A 30-60-90-degree triangle is a special right triangle and its side lengths are always consistent with each other. The ratio of the sides follows the 30-60-90 triangle ratio: 1: 2: \(\sqrt{3}\) .

Short side (opposite the 30° angle) = x

Hypotenuse (opposite the 90° angle) = 2x

Long side (opposite the 60° angle) = x√3

30-60-90 Triangle Theorem:

These three properties can be examined by the 30-60-90 triangle theorem and are unique to these special right triangles:

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a. The scale factor of the dilation is 2, since the length of each side of the dilated quadrilateral is twice the length of the original quadrilateral.

A quadrilateral is a polygon with four sides and four angles. It is a two-dimensional shape with an equal number of sides and angles, as well as four vertices and four interior angles. The most common examples of quadrilaterals include rectangles, squares, parallelograms, trapezoids, and rhombuses. All quadrilaterals have two pairs of parallel sides, and all four sides must be connected. Quadrilaterals can be classified based on their side lengths and the size of their angles.

b. The ratio of the length of AB to the length of A'B' is 2:1, since the length of AB is twice the length of A'B'.
c. The measures of angle A and angle A' are equal, since the dilation is centered on the origin and therefore the angles of the dilated quadrilateral are the same as the angles of the original quadrilateral.

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The ONB for the given plane in R3 is ū = [-5/√(26), 1/√(26), 0] and ī = [25/(√(26/13)), -5/(√(26/13)), 0].

To find an orthonormal basis for the plane x + 5y + 4z = 0, we first solve the system and get the parametric solution

x = -5t - 4s

y = t

z = s

Assigning parameters s and t to the free variables and writing the solution in vector form as su + tv, we get

[-5t - 4s, t, s] = t[-5, 1, 0] + s[-4, 0, 1]

Taking u = [-5, 1, 0] and v = [-4, 0, 1], we normalize u to have norm 1 by dividing it by its length

||u|| = √(26)

ū = [-5/√(26), 1/√(26), 0]

To find the component of v orthogonal to u, we take the dot product of v and u, and divide it by the dot product of u and u, and then multiply u by this scalar

v - ((v · u) / (u · u))u

v · u = -5

u · u = 26

v - (-5/26)[-5, 1, 0]

v - [25/26, -5/26, 0]

Finally, we normalize this vector to have norm 1

||v - proj_u v|| = √(26/13)

ī = [25/(2√(26/13)), -5/(2√(26/13)), 0]

Therefore, the orthonormal basis for the plane x + 5y + 4z = 0 is ū = [-5/√(26), 1/√(26), 0] and ī = [25/(√(26/13)), -5/(√(26/13)), 0].

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The answer can be solved by using the kinematic equation, S= ut+at²/2. Here the time taken by the feather to fall from 75 feet will be 2.16 s.

Here a feather is dropped from a height of 75 ft. All other units are in SI system. So we have to convert the height to meters.

75 ft = 75/ 3.281 = 22.86 m.

We are neglecting the frictional force, or any other force acting on the feather. If the feather is under free fall, we can use the kinematic equation,

   S = ut + at²/2

S is the displacement, here the height = 22.86 m

u is the initial velocity, which is 0

t is the time

a is acceleration, here a= g, acceleration due to gravity = 9.8 m/s².

S = 0×t + 9.8t²/2

22.86 = 4.9t²

t² = 22.86/4.9

   = 4.665

t = √4.665 = 2.159 s = 2.16 s

So the time taken for the feather to reach water will be 2.16 s.

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Answer:

im sorry but i tried to do it but too dumb  

Step-by-step explanation:

The value of f square plus g square is 61.

How to find square of any number?

To find the square of a number, you can multiply that number by itself.

Write the number you want to square. Let's use the number "x" as an example.

Raise the number to the power of 2 by using the exponentiation operator (^) or by multiplying the number by itself. Either way, the result is the same. The expression to calculate the square of a number can be written as x² = x × x = x²

For example, to find the square of 5, you can multiply 5 by 5, which gives you 25.

So,the square of 5 is 25.

In mathematical notation, the square of a number "x" can be represented as "x²". So, the square of 5 can also be written as 5², which equals 25.

If f = 5 and g = 6, then f square (f²) is 5² = 25 and g square (g²) is 6² = 36. Therefore, f² + g² = 25 + 36 = 61. So, f square plus g square when f is 5 and g is 6 is 61.

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Correct question is "What is f square plus g square? Where f is equal to 5 and g is equal to 6."

To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).

Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.

Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.

To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.

Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.

Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).

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Answer:

130

Step-by-step explanation:

its basically the same thing

Find price per inch:

0.52 / 13 = 0.04 per inch.

Multiply cost per inch by inches:

0.04 x 34 = 1.36

It will cost $1.36 for 34 inches.

The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Let's denote the width of the rectangle by "w." We know that the diagonal of the rectangle is 5 less than 4 times the width, which can be written as 4w - 5. We also know that the length of the rectangle is 7. The width of the rectangle is approximately 3.1

       Let's start by denoting the width of the rectangle by "w." We know that the diagonal of the rectangle is 5 less than 4 times the width. In other words, we have:

diagonal = 4w - 5

We also know that the length of the rectangle is 7. Using the Pythagorean theorem, we can write an equation that relates the width, length, and diagonal of the rectangle:

w^2 + 7^2 = (4w - 5)^2

Simplifying this equation gives us a quadratic equation in standard form:

16w^2 - 64w + 39 = 0

We can solve this equation using the quadratic formula:

w = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 16, b = -64, and c = 39. Plugging in these values and solving gives us two possible solutions:

w ≈ 0.7 or w ≈ 3.1

Since the width of the rectangle cannot be negative, we discard the first solution. Therefore, the width of the rectangle is approximately 3.1, rounded to the nearest tenth.

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\(\\ \rm\rightarrowtail 2x^2-9x+8=0\)

\(\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(\\ \rm\rightarrowtail x=\dfrac{9\pm\sqrt{81-64}}{4}\)

\(\\ \rm\rightarrowtail x=\dfrac{9\pm\sqrt{27}}{4}\)

\(\\ \rm\rightarrowtail x=\dfrac{9\pm3\sqrt{3}}{4}\)

Answer:

74.2

Step-by-step explanation:

since 43.3 and 30.9 together form a vertical angle of k. So 43.3 +30.9= 74.2.

Answer: