Please help ASAP if you know how. Thanks so much

The second approximation x2 is 2.875

and the third approximation x3 is 2.806

The root of the equation = \(4x^7 + 5x^4 + 3 = 0\)

using Newton's method.

The initial approximation x1 = 3.

Calculate the function value and derivative at x1:

\(f(x1) = 4(3)^7 + 5(3)^4 + 3 = 4083\\f'(x1) = 4(7)(3)^6 + 5(4)(3)^3 = 32640\)

We then apply Newton's method formula to find x2:

\(x_2 = x_1 - f(x_1)/f'(x1)\\x_2 = 3 - 4083/32640 = 2.875\)

\(f(x2) = 4(2.875)^7 + 5(2.875)^4 + 3 \\f(x2) = 46.48\\f'(x2) = 4(7)(2.875)^6 + 5(4)(2.875)^3 \\f'(x2) = 603.75\)

x3 = x2 - f(x2)/f'(x2)

x3 = 2.875 - 46.48/603.75

= 2.806

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Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

~

Given capacities of containers

We need HCF of 403,434,465

HCF is 31L

Maximum capacity 31L

Answer:

If the distance is meant instead of a difference the answer is 40

Step-by-step explanation:

You would subtract the absolute value of

|-70-(-30)|

|-70+30|

|-40|

The absolute value of -40 is 40

Let that be x

\(\\ \tt\hookrightarrow 0.08x=60\)

\(\\ \tt\hookrightarrow x=60/0.08\)

\(\\ \tt\hookrightarrow x=750\)

Question: what is the ratio of 3 orange kittens to 1 gray kitten

Solution:

Divide 3 by 1, that is:

Answer:

106.25 mph

Step-by-step explanation:

since the car travels at 85 miles per hour we divide it by 60 seconds in order to find how many miles is it to get in a minute

=> 85mph ÷ 60

divide 85 by 60

=> 1.416

multiply 1.416 by 15 to get how many miles it to go in 15 minutes

=> 21.25

then add it to 85

=> 106.25

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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Answer:

THE ANSWER IS 81/16 OR C

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

Answer:

Weekly: $106.25

Monthly: $425

Yearly: $5,100

Step-by-step explanation:

Answer:

Step-by-step explanation:

WEEKS:

$175 divided by 4= 43.75

100 divided by 4= $25

150 divided by 4: $37.5

TOTAL: 106.25

YEARLY:

$175 times 12: $2,100

$100 times 12: $1,200

$150 times 12: $1,800

TOTAL: 5,100

MONTHLY: $425

Answer:

so fx 3x-1 '4x+3

Step-by-step explanation:

please mark me brainliest answer

Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

Answer:

\(y+6=\frac{-8}{7} (x-7)\)

Step-by-step explanation:

To find the slope of the equation use \(\frac{y_2-y_1}{x_2-x_1}\).

So, \(\frac{-6-2}{7-0}\) = \(\frac{-8}{7}\). Now we can use our slope and any of the two points to write in point-slope form, which is \(y-y_1=m(x-x_1)\). Using the point (7,-6), the formula will give \(y+6=\frac{-8}{7} (x-7)\).

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

132

Step-by-step explanation:

180 - 48 = 132   These angles are supplemental.  They add to 180

Answer:

<GAE = 48

Step-by-step explanation:

<BAC = 48

<BAC = <GAE

There are 2100 workers in​ the company

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Since 85​% of the workers are women, we can say:

The percentage of worker that aren't women = 100% - 85​% = 15​%

Let N represent the number of all workers. If 315 people work for the company who​ aren't women. We can say:

15​% of N = 315

15/100 × N = 315

0.15N = 315

N = 315/0.15

N = 2100 workers

Method 2:

We can write:

N - 0.85N = 315

0.15N = 315

N = 315/0.15

N = 2100 workers

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Using it's formula, it is found that the average rate of change in the interval \(\left(\pi, \frac{3\pi}{2}\right)\) is of \(-\frac{16}{\pi}\).

The average rate of change of a function is given by the change in the input divided by the change in the output.

In this problem, the points state that:

Hence the rate is given by:

\(r = \frac{-1 - 7}{\frac{3\pi}{2} - \pi} = -\frac{16}{\pi}\)

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is simply changing from percentage form to a decimal form usually, but the fractional form works the same.  Check the picture below.

Answer:

I can see the picture re post it

Step-by-step explanation:

Answer:

The measure of angle F is the same as the measure of angle C.

BC is adjacent and AC is the hypotenuse. That means, use cosine.

Cos C = 15/17

C = cos-1(15/17) = 28.07... or 28.

Step-by-step explanation:

Answer:

1. 2 + 12i

2. -3 - 4i

3. 7 - 11i

4. -9i

Step-by-step explanation:

just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi

Answer:46

Step-by-step explanation:

x/4 - 1/2(6-x)=7x+3(6-2x)-1

x/4 - (6-x)/2=7x+18-6x-1

(x-2(6-x))/2=7x+18-6x-1

(x-12+2x)/2=7x-6x+18-1

(x+2x-12)/2=7x-6x+18-1

(3x-12)/2=x+17

Cross multiply

3x-12=2(x+17)

3x-12=2x+34

Collect like terms

3x-2x=12+34

x=46

Answer:

the answer is -80

Step-by-step explanation:

Answer:

The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers?

Step-by-step explanation:

EQUATION:

x+ y = 78

x-4y = 13

-------------

solve by any method to get:

x = 65

y = 13

Given:

Weight of cow = 992 lbs

Recommended dosage = 10 mg per kg

Let's find the amount of mg the farmer should administer.

Let's first find the weight of the cow in kg.

Where:

1 kg = 2.205 lbs

992 lbs will be:

The weight of the cow in kg is 449.8866 kg.

Since 10 mg per kg should be administered, to find the amount of mg to be administered to the cow, we have:

Therefore, the amount of mg the farmer should administer is 4498.87 mg.

Part B.

Given:

1 mL of liquid = 125 mg of albendazole

Let's find the amount of mL of the liquid the farmer should administer.

Since 1 mL = 125 mg, and the amount of mg the farmer should administer is 4498.87 mg, we have:

Therefore, the farmer should administer 35.99 mL of the liquid

ANSWER:

Part A.

Weight of the cow in kg = 449.8866

Amount of mg the farmer should administer = 4498.87 mg

Part B.

Amount of liquid the farmer should administer = 35.99 mL

Answer:

\(Area = 153.938040026m^2\)

\(Circumference= 43.9822971503m\)

Step-by-step explanation:

Area

\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)

Circumference

\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)

The function shown on the graph is a sine function.

In the question, we are asked to identify the function that has been shown in the graph.

A trigonometric function called sin x, where x is the angle under discussion, stands for the sine of an angle. The sine function is the proportion between the perpendicular and hypotenuse of a right-angled triangle. In other words, it is the ratio of the hypotenuse to the side opposite the angle under examination, and its value changes as the angle changes. In the study of physics, sound and light waves are represented by the sine function.

Since sin x is defined for any x in (-∞, ∞) the domain of the sine function is all real integers. As the value of sin x does not exceed this, its range is [-1, 1], in contrast. The sine function's graph resembles an oscillating wave between -1 and 1. Additionally, sin x has a period of 2π since its value repeats every 2π radians. The domain and range of sine function can also be observed via its graph.

The graph shown in the figure satisfies all the conditions of being a sine graph.

Thus, the function shown on the graph is a sine function

.

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The expression (-9x)^4 can be represented as -6561x^3 without using exponents.

To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.

(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)

To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:

(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2

So, by substituting this result back into the original expression, we get:

(-9x)^4 = 81x^2 * (-9x) = -6561 x^3

Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.

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Answer: C y>3x+1

Step-by-step explanation:

From all the given options , only C contains inequality with '>' sign .

Hence, y>3x+1 is the inequality has a dashed boundary line when graphed.

hence, the correct option is C.