help as quick as possible 18 points :)

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

For more questions Pythagorean theorem:

https://brainly.com/question/343682

#SPJ8

Answer:

try 36?

Step-by-step explanation:

Answer:

c. 12x

Step-by-step explanation:

Answer:

They have a y-value of 0.

They are in Quadrant I.

They are not above or below the origin.

Step-by-step explanation:

i hope this helps:)

The numbers as they appear from left to right on a horizontal number line is Horizontal number line.

This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically. As we move towards the right side of a horizontal number line, the numbers increase; as we move towards the left, the numbers decrease.

What's the equation of a horizontal line?

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

-2.76

-2.57

-2.5

-1.85

-1.58

2.5

2.85

On a number line, we have this horizontal line, meaning it moves left and right, and zero is placed in the middle.

To learn more about horizontal number visit:

https://brainly.com/question/28422906

#SPJ1

Answer: 2. They are congruent angles.

Step-by-step explanation:

      Angle 1 and angle 3 are vertical angles. In other words, they are "opposite" each other.

     Vertical angle pairs are congruent angles, meaning the answer to this question is;

              2. They are congruent angles.

Answer: They are congruent angles.

Step-by-step explanation: Complementary means the two angles equal 90°, supplementary angles are next to each other and equal 180° together, and it's obviously not a right angle, (angle that equals 90°) so we know they are congruent angles (this means that they are the same)

hope this helps!

please give brainliest!

The correct graph of the inequality ( |x| + 3 > 3) is attached accordingly.

Recall that the absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5.

A number's absolute value can be conceived of as its distance from zero along the real number line.

So, given  |x| + 3 > 3

Add minus three to both sides

|x| + 3  + (-3) > 3 + (-3)

|x|  > 0

Thus, the absolute value of x is

x > 0 or x < -0

put in the form of inequality, we have

x > 0 or x < 0

Learn more about absolute value;
https://brainly.com/question/20383699
#SPJ1

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

6

Step-by-step explanation:

75-6=4y+4y+3.5y

or 11.5y=69

or y=69\11.5

     =6

Answer:

- 7.5 y - 4y= 6 - 75

Step-by-step explanation:

= - 11.5y = -69

= y = 6

Answer:

the top right and bottom right

Step-by-step explanation:

the macadamia nuts cost the most, meaning there doesn't have to be as much as the peanuts to get a high price. And the peanuts are cheaper than the macadamia nuts and the blueberries, meaning that there has to be more of them causing more weight.

Answer: The 2nd one and the 4th one on the right side.

Answer:

Step-by-step explanation:

35.26    rounded to  35.3

8.32   rounded to        8.3

6.78    rounded to       6.8

35.3 + 8.3 = 43.6

43.6 + 6.8 = 50.4

The answer is 50.4.

39.26 rounds to 35.3

8.32 rounds to 8.3

6.78 rounds to 6.8

When you add them together, you get 50.4.

The calculated ratio for the sine the angle A has its value to be 8/17

The ratio for sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.

This ratio is commonly denoted as sin(θ), where θ is the angle of interest.

Mathematically, we can express this as:

sin(θ) = opposite / hypotenuse

Using the above, we have

opposite = 8

hypotenuse = 17

So, we have

sin(A) = 8/17

Hence, the ratio is 8/17

Read more about right triangles at

https://brainly.com/question/2437195

#SPJ1

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:

Theorist Approach to Learning Key Concepts

Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.

Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.

Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

For more questions on perspectives

https://brainly.com/question/6993294

#SPJ8

The average value of a continuous function f(x) over an interval [a, b] is

\(\displaystyle f_{\mathrm{ave}[a,b]} = \frac1{b-a}\int_a^b f(x)\,dx\)

We're given that

\(\displaystyle f_{\rm ave[-1,2]} = \frac13 \int_{-1}^2 f(x) \, dx = -4\)

\(\displaystyle f_{\rm ave[2,7]} = \frac15 \int_2^7 f(x) \, dx = 8\)

and we want to determine

\(\displaystyle f_{\rm ave[-1,7]} = \frac18 \int_{-1}^7 f(x) \, dx\)

By the additive property of definite integration, we have

\(\displaystyle \int_{-1}^7 f(x) \, dx = \int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx\)

so it follows that

\(\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(\int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx\right)\)

\(\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(3\times(-4) + 5\times8\right)\)

\(\displaystyle f_{\rm ave[-1,7]} = \boxed{\frac72}\)

Answer:

y = -1/4x + 7

Step-by-step explanation:

Plug in the point and slope into y = mx + b, and solve for b:

y = mx + b

8 = -1/4(-4) + b

8 = 1 + b

7 = b

Plug in the slope and b into y = mx + b:

y = mx + b

y = -1/4x + 7

So, the equation of the line is y = -1/4x + 7

Answer:

smallest whole number is 0 so product of 0 is 0

smallest natural number is 1 so product of 1 is 1

Answer:

Step-by-step explanation:

1) For complex numbers addition, add the real parts and imaginary party separately.

(2 +5i) - (-6 + 3i) = 2 + 5i + 6 - 3i

                          = 2+ 6 + 5i - 3i

                          = 8 + 2i

2)Use FOIL method

(-4 +2i)(3 - 7i) = -4*3 + (-4)*(-7i) + 2i* 3  + (2i)*(-7i)

                    = -12 + 28i + 6i -14i²                 {i² = -1}

                   = -12 + 28i + 6i - 14*(-1)

                   = -12 + 28i + 6i + 14             {Combine like terms}

                 = -12 + 14 + 28i + 6i

                 = - 2 + 34i

3)Hint:

\(a^{mn} = (a^m)^{n}\\\\a^{m}*a^{n}= a^{m+n}\)

\(\sqrt[4]{144x^{12}y^{7}} =\sqrt[4]{2*2*2*2*3*3*x^{3*4}*y^{4+3}} \\\\=\sqrt[4]{2^{4}*9*(x^{3})^{4}*y^{4}*y^{3}}\\\\=2*x^{3}*y\sqrt[4]{9y^{3}}\\\\ =2x^{3}y\sqrt[4]{9y^{3}}\)

4)

\(\sqrt[3]{\frac{320a^{10}}{27b^{6}}}= \sqrt[3]{\frac{8*8*5a^{3+3+3+1}}{3*3*3b^{3+3}}}\\\\=\sqrt[3]{\frac{2^{3}*2^{3}*5a^{3}*a^{3}*a^{3}*a}{3^{3}b^{3}*b^{3}}}\\\\=\frac{2*2*a*a*a}{3b*b}\sqrt[3]{\frac{5a}{1}}\\\\=\frac{4a^{2}}{3b^{2}}\sqrt[3]{5a}\)

5) 4x² + 28x + 49 = 4x² + 14x +14x + 7*7

                            = 2x(2x + 7) + 7(2x + 7)

                            =(2x+ 7)(2x + 7)

6) 2x² + 3x - 20 =  2x² +8x - 5x - 5 *4

                         =2x(x + 4) - 5(x + 4)

                       = (x + 4)(2x - 5)

Answer:

See below

Step-by-step explanation:

x = part 1

3x = part 2

x + 3x  = part 3       summed, they equal 1000

x    +     3x      +   x + 3x = 1000

8x = 1000

x = 125       3x = 385      third part = 500

In order for F to be conservative, there must be a scalar function f such that the gradient of f is equal to F. This means

\(\dfrac{\partial f}{\partial x}=3x^2-2y^2\)

\(\dfrac{\partial f}{\partial y}=4xy+4\)

Integrate both sides of the first equation with respect to x :

\(f(x,y)=x^3-2xy^2+g(y)\)

Differentiate both sides with respect to y :

\(\dfrac{\partial f}{\partial y}=-4xy+\dfrac{\mathrm dg}{\mathrm dy}=4xy+4\implies\dfrac{\mathrm dg}{\mathrm dy}=8xy+4\)

But we assume g is a function of y, which means its derivative can't possibly contain x, so there is no scalar function f whose gradient is F. Therefore F is not conservative.

In this problem, since the condition of equal derivatives does not apply, the vector field is not conservative.

A vector field can be described as:

\(F = <P,Q>\)

It is conservative if:

\(\frac{\partial P}{\partial y} = \frac{\partial Q}{\partial x}\)

In this problem, the field is:

\(F = <3x^2 - 2y^2, 4xy + 4>\)

Then:

\(P(x,y) = 3x^2 - 2y^2\)

\(\frac{\partial P}{\partial y} = -4y\)

\(Q(x,y) = 4xy + 4\)

\(\frac{\partial Q}{\partial x} = 4y\)

Since \(\frac{\partial P}{\partial y} \neq \frac{\partial Q}{\partial x}\), the field is not conservative.

A similar problem is given at https://brainly.com/question/15236009

Answer:

24

Step-by-step explanation:

that is what   thinkof ur answer

Answer:

Height=61 feet

Step-by-step explanation:

Height=sin 55 degrees x 75

Height=0.8192 x 75

Height=61.43

Answer:

y=4/3x-5/3

Step-by-step explanation:

We can use the slope formula, m=(y2-y1)/(x2-1), to find the slope.

1-(-3)/2-(-1)=4/3

We can subsitute now that we have the slope.

y=4/3x+b

-3=4/3(-1)+b

-3+4/3=b

b=-5/3

y=4/3x-5/3

Answer:

domain : - ∞ < x < 1

Step-by-step explanation:

the function is increasing on the upward part of the curve. that is

from negative infinity to the vertex at (1, 3 )

domain : - ∞ < x < 1

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

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

    -y = -7x

+

    y = -4x + 3

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

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Answer:

positive slope

(0,3)

slope = 2

Step-by-step explanation:

or if the angle made by the line to the x axis is < 90 it's slope is positive.

    lines passing through points (1,5) (0,3)

    slope = (3 - 5) / (0 - 1)

              = -2 / -1 = 2  

- The line is positive because it is going upwards from the bottom left to the top right

- The y-intercept is positive 3

              - It can be found by seeing where the line intercepts the y-axis when x = 0

              - Written as a coordinate point of (0, 3)

- The slope of the line is 2

              - It can be found by using "rise over run" which is the change in y divided by the change in x

Answer:

Yes, they are equivalent expressions, by the Associative Property

Step-by-step explanation:

Both of these expressions are equal to:

4a + 5a + 3c

(and then, 9a + 3c)

This is all adding so you can add them all up without any of the parentheses. In the question at first the parentheses are grouping together the 5a and 3c, but in the second expression they are wrapped around the 4a and 5a. But in both expressions the order of the three terms does not change. Only the grouping changes. The terms are grouped differently, but the order DOES NOT change. This is Associative property. If the order changes it is Commutative property.

Answer:

x=-2.5

Step-by-step explanation:

3x-12+7=5x

-5=2x

-2.5=x

Answer:

-5/2

Step-by-step explanation:

Let's solve your equation step-by-step.

3(x−4)+7=5x

Step 1: Simplify both sides of the equation.

3(x−4)+7=5x

(3)(x)+(3)(−4)+7=5x(Distribute)

3x+−12+7=5x

(3x)+(−12+7)=5x(Combine Like Terms)

3x+−5=5x

3x−5=5x

Step 2: Subtract 5x from both sides.

3x−5−5x=5x−5x

−2x−5=0

Step 3: Add 5 to both sides.

−2x−5+5=0+5

−2x=5

Step 4: Divide both sides by -2.

-2x/2 = -5/2

x= -5/2

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

For more such questions on weight

https://brainly.com/question/2335828

#SPJ8

Answer:

The answer is

Step-by-step explanation:

Since the cardboard box is a cube all it's sides are equal

Volume(V) of a cube = l³

where l is the length of one side

From the question

\(V = \frac{125}{8} \: {ft}^{3} \)

The length of each side of the cardboard box is

\( {l}^{3} = \frac{125}{8} \\ \sqrt[3]{ {l}^{3} } = \sqrt[3]{ \frac{125}{8} } \\ l = \frac{5}{2} \)

We have the final answer as

\( \frac{5}{2} \: \: \: feet \\ \)

Hope this helps you

Answer:

5/2 ft

Step-by-step explanation:

The volume of a cube is calculated by the following formula.

Rewrite the formula in terms of the side, as shown.

It is given that the volume of the cardboard box is ft3. Substitute this value into the equation to determine the length of each side of the cardboard box.

Therefore, the length of each side of the cardboard box is 2.5 ft.

The inverse statement is false.

For such more questions on inverse

https://brainly.com/question/3831584

#SPJ8

Answer:

x = 8

Step-by-step explanation:

Answer:

sorry bro I would but that link is super long

Step-by-step explanation:

thats what she said