Find the measure of the angle with the red dot. (This is NOT asking you to give the value
for x)
10x – 20

7x + 4

Answer:

D

Step-by-step explanation:

Answer:

e=123444565666 i hope it helps :}}

Step-by-step explanation:

In the triangle BCD when m< B = (8x + 9)°, m< C = (5x + 5)°, and m< D = (2x + 1). the value of x is 11

The value of x is solved using the sum of angles in a triangle

Hence in the Δ BCD the sum is solved as below

(8x + 9)° + (5x + 5)° + (2x + 1) = 180

collecting like terms

8x + 5x + 2x = 180 - 1 - 5 - 9

15x = 165

x = 165 / 15

x = 11

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Answer:

Gerald will need to conduct fewer trials because experimental and theoretical results in experiments with small

numbers of possible outcomes are the same.

Answer:

(D)

Step-by-step explanation:

Gerald will need to conduct fewer trials because experimental and theoretical results in experiments with small numbers of possible outcomes are the same.

Have a good day, and good luck on the test.

Step-by-step explanation:

5x +2 = 182 -4x

5x+4x = 182-2

9x = 180

x = 180/9

x = 20

4y +2 = 5x +2

4y = 5x

4y = 5(20)

4y = 100

y = 100/4

y = 25

The function rules are (a) f(x) = x - 10, (b) g(x) = 0.85x, (c) g (f(x)) = 0.85x - 8.5 and (d) f (g(x)) = 0.85x - 10

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Let x be the original price of the item.

(a) You have $10 coupon.

Price of the item after applying coupon = x - 10

f(x) = x - 10

(b) There is a 15% discount.

Discounted price of the item = x - (15% × x)

                                               = x - (0.15x)

                                               = 0.85x

g(x) = 0.85x

(c) We have f(x) = x - 10 and g(x) = 0.85x

Price of the item when applied $10 coupon first and then taking the 15% discount is,

g (f(x)) = g(x - 10) = 0.85(x - 10) = 0.85x - 8.5

(d) Price of the item when applied 15% discount first and then taking the $10 coupon is,

f (g(x)) = f(0.85x) = 0.85x - 10

(e) We have  g (f(x)) = 0.85x - 8.5 and f (g(x)) = 0.85x - 10

The price will be lower for the composite function f (g(x)) = 0.85x - 10, since there is a $10 decrease in the 0.85x.

Hence the rules for the functions are f(x) = x - 10 and g(x) = 0.85x. The composite functions are g (f(x)) = 0.85x - 8.5 and f (g(x)) = 0.85x - 10.

The price will be lower when we first apply the discount and then the coupon.

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The support vector of the input dsolve('Dy = -3*y') is "dsolve(diff(y,t) == -3*y)".

A symbol is a mathematical object that represents a mathematical entity, such as a number, a variable, or a function. In mathematical software, symbols are used to represent variables, which can be used in mathematical expressions to perform computations.

In the past, character vectors or strings were used to represent symbols in certain mathematical software programs.

In the future release of this software, support for character vectors or strings will be removed. Instead, the program will require users to use the "syms" function to declare variables as symbols.

As an example of how this might be used in practice, consider the differential equation

=> "dy/dt = -3y".

In the past, this equation might have been entered into a mathematical software program using a character vector or string to represent the variable "y".

However, in the future release of this software, the user will need to use the "syms" function to declare "y" as a symbol. The equation would then be entered using the "diff" function, like this:

=> "dsolve(diff(y,t) == -3*y)".

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Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

Oliver's number is bigger than that of Chen.

It is a number equal to 10 times 10.

Given is that Oliver and Chen both write down a number. Oliver says, my number has 8 hundreds and Chen's number only has 3 hundreds, my number must be bigger.

Oliver number can be written as follows -

8 x 10 x 10

Chens number can be written as follows -

3 x 10 x 10

It can be concluded that Oliver's number is bigger than that of Chen.

Therefore, Oliver's number is bigger than that of Chen.

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Answer:

Yes

Step-by-step explanation:

u substitute the x and y for 4 and -9. When u do, the equation is true.

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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Answer:35/24

Step-by-step explanation:

7/12 ➗ 2/5

Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted

7/12 x 5/2

(7x5)/(12x2)

35/24

The quotient of 7/12 divided by 2/5 is 35/24.

To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.

Here are the steps:

Write down the first fraction: 7/12

Write down the reciprocal of the second fraction: 5/2

Multiply the first fraction by the reciprocal: (7/12) x (5/2)

Multiply the numerators: 7 x 5 = 35

Multiply the denominators: 12 x 2 = 24

Simplify the fraction, if possible: 35/24

Therefore, the quotient of 7/12 divided by 2/5 is 35/24.

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Answer:

20/6=10/3

Step-by-step explanation:

need thanks................

Answer:

\(simplest \: form \: of \: \frac{20}{6} \: is \: \frac{10}{3} \\ so \:dividing \: \frac{10}{3} \div 2 = \\ \frac{10}{3} \ \times \frac{1}{2} \\ which \: is \: \frac{5}{3} \\ \)

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.

To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.

We are given that the weight of each packet is 2 1/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.

Therefore, the weight of each packet is 15/7 pounds.

Now, divide the total weight by the weight of each packet.

We are given that the total weight of the supplies shipped out is 34 2/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.

Therefore, the total weight of the supplies is 240/7 pounds.

To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.

This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.

Therefore, Mikey shipped out 16 packets of electrical supplies.

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Answer:

145

Step-by-step explanation:

110÷177.4=.62 cal per gram

.62×233.5=145 rounded

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

We have,

We can use trigonometry to solve this problem.

          C

        /   \

       /     \

      /θ     \

     /         \

    /           \

   A-------------B

          50 ft

In this diagram, A represents the launch pad, B represents the maximum altitude of the rocket, C represents the position of the photographer, and θ represents the angle at which the tripod should be set.

We want to find θ.

First, we can find the height of the triangle ABC using the Pythagorean theorem:

AB² = AC² + BC²

200² = AC² + 50²

AC² = 200² - 50²

AC = √(200² - 50²)

AC = 190.526 ft

Next, we can use the tangent function to find θ:

tan(θ) = opposite/adjacent = AB/BC = 200/50 = 4

Taking the arctangent of both sides, we get:

θ = \(tan^{-1}(4)\)

θ = 75.96 degrees

Therefore,

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

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Answer:

y = 34

Step-by-step explanation:

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

Remember to follow PEMDAS. First, multiply -6 with 4:

-6 * 4 = -24

-24 + y = 10

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Add 24 to both sides:

-24 (+24) + y = 10 (+24)

y = 10 + 24

y = 34

y = 34 is your answer.

~

Answer:

Step-by-step explanation:

\(4\left(-6\right)+y=10\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\-4\times\:6+y=10\\\\\mathrm{Multiply\:the\:numbers:}\:4\times\:6=24\\-24+y=10\\\\\mathrm{Add\:}24\mathrm{\:to\:both\:sides}\\-24+y+24=10+24\\\\Simplify \\y=34\)

Step-by-step explanation:

1. 3 ln(x) + 2 ln(y) 2. 7 − log2

(x

2 + 4)

3. 3 log5

(z) − 6 4. log(1.23) + 37

5. 1

2

ln(z) − ln(x) − ln(y) 6. log5

(x − 5) + log5

(x + 5)

7. 3 log√

2

(x) + 4 8. −2 + log 1

3

(x) + log 1

3

(y − 2) + log 1

3

(y

2 + 2y + 4)

9. 3 + 3 log(x) + 5 log(y) 10. 2 log3

(x) − 4 − 4 log3

(y)

11. 1

4

ln(x) + 1

4

ln(y) −

1

4 −

1

4

ln(z) 12. 12 − 12 log6

(x) − 4 log6

(y)

13. 5

3 + log(x) + 1

2

log(y) 14. −2 + 2

3

log 1

2

(x) − log 1

2

(y) −

1

2

log 1

2

(z)

15. 1

3

ln(x) − ln(10) −

1

2

ln(y) −

1

2

ln(z) 16. ln(x

4y

2

)

17. log2

Answer:

the slope is 1/2 or .5

Step-by-step explanation:

Answer:

0.054

Step-by-step explanation:

9 3/5% as a decimal is 0.054 (already to 3 decimal places)

Answer from Gauthmath

9 are just, well..., 9

3/5 are 0.6

because 1/5 is 0.2

so it's 9.6%, not so complicated I guess

divide $3.20 to get the cost per ounce, and multiply it by 6 to get the price for 6 ounces.

6 ounces = $1.92

hope this helps!! :)

Answer:

3

9

Step-by-step explanation:

(2x-6)(x-9)=0

lesser x = 3

greater x = 9

Answer:

C) When two fractions have equal denominators, the fraction with the greater numerator is the greater fraction.

Step-by-step explanation:

When comparing fractions, you do not use the denominator to compare. You use the numerator. Whichever fraction has the largest numerator, when the denominators are equal, is the greater fraction. When the fractions have unequal denominators, you find the least common denominator between them and then compare the numerators. Whichever one has the bigger numerator is the greater fraction.

Thus, the best answer is C.

hope this helps!

Answer:

The answer is C.

Step-by-step explanation:

Answer:

The height of the tree is 35 meters.

Step-by-step explanation:

Let the height of the tree be x meters, then the length  of the wire is

x+2 meters.

The distance from the tree to the anchor is  x-23 meters.

So using the pythagoras theorem:

(x + 2)^2 = x^2 +(x -23) ^2

x^2 + 4x + 4 = x^2 + x^2 - 46x + 529

x^2 - 50x + 525 = 0

( x - 15)(x - 35) = 0

x = 15, 35

x cannot be 15   as this would make the distance 15-23 which is negative so x mustr be 35 meters,

The required measure of angle ∠P is 72.925° which is the correct answer would be an option (D).

An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.

Two angles in a triangle ΔPQR are congruent, ∠P and ∠Q;

Here ∠R measures 34.15°.

It is an isosceles triangle, hence ∠Q = ∠P.

Let it be x

Now, we know that the sum of the angles of a triangle is 180 degrees.

So,

∠P+ ∠Q + ∠R = 180°

x + x + 34.15° = 180°

2x = 180° − 34.15°

2x = 145.85°

x = 145.85° / 2

x = 72.925°

Therefore, ∠Q = ∠P =72.925°

Hence, the required measure of angle ∠P is 72.925° which is the correct answer would be option (D).

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Answer:

2145

Step-by-step explanation: 55,770/26=2145

Answer:

answer = 2145 per paycheck

Step-by-step explanation:

Answer:

The bird will be at a ground distance of 10.04 units away.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, y_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

\(y_{v} = -\frac{\Delta}{4a}\)

Where

\(\Delta = b^2-4ac\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(y_{v}\).

Equation for the height:

The height of the bird after x seconds is given by:

\(h(x) = -0.114x^2 + 2.29x + 3.5\)

Which is a quadratic equation with \(a = -0.114, b = 2.29, c = 3.5\).

When the bird is at its highest?

Quadratic equation with \(a < 0\), and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

\(x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04\)

The bird will be at a ground distance of 10.04 units away.