In figure , ABllEF, angle ABC=
[tex] {70}^{0} [/tex]
and angle EFD =
[tex] {40}^{0} [/tex]
then find x
​

Answer:

Step-by-step explanation:

I would have to go with b

There are 4 bags left after completing one step

The number of bags left after completing one step can be calculated as follows

The amount of trail mix into the bags is 2 1/4

= 9/4

The total amount of trail mix in the bag is 2/3

The first step is to calculate the number of bags

= 9/4 ÷ 3/8

= 9/4 × 8/3

= 36/12

= 6

There are 2/3 bags of trail

= 2/3 × 6

= 4

Hence 4 bags of trail mix are left after completing one step

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The given conjecture X is a positive number is not always correct. Therefore, the given conjecture is false.

Given X is not a negative number and conjecture X is a positive number.

A conjecture is a mathematical statement that has not yet been rigorously proved. Conjectures arise when one notices a pattern that holds true for many cases. However, just because a pattern holds true for many cases does not mean that the pattern will hold true for all cases.

Given X is not a negative number

Conjecture X is a positive number

If X is 0, which is neither positive nor negative.

So, the statement is false.

The given conjecture X is a positive number is not always correct. Therefore, the given conjecture is false.

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Area of rectangle is length times of width. Thomas is painting the wall at a warehouse blue. He painted in 6 hours of area 240 square feet.

Area of rectangle is length times of width.

Area=Length*width.

From the given figure the length is 12 ft and width is 5 ft in 1.5 hrs.

area he covered painting= 12ft*5ft

=60 square feet.

In 1 and half hour he painted 60 square feet.

Now for 6 hours we have to calculate.

4*(1 and half hrs)=6 hrs

So we have to multiply 4 with 60 to get the area in 6 hours.

4*60=240square feet.

Therefore 240 square feet area Thomas painted.

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Answer:

x=25

Step-by-step explanation:

√x−1−4=0

√x−5=0

√x=5

√x^2=5^2

x= 25

The liters of the 5% and the 40% solutions is

x= 4.3L

This is further explained below.

You have been tasked with creating a solution with a concentration of 20% in a volume of 10 liters by combining solutions of 5% and 40%. It seems as if there may be more than one response to this question. If you assume that the combined volume of the 5% and 40% solutions equals 10L, then you may calculate the required volume of solution. The formula ought to go as follows:

10 L= 40% solution volume+ 5% solution volume

10 L= x + 5% solution volume

5% solution volume= 10l-x

In conclusion, The formula for calculating volume would look like this then:

Volume 0.2*concentration 0.2= volume 0.4*concentration 0.4 + volume 0.05*concentration 0.05

10 * 0.2= x *0.4 + (10- x) *0.05

10l * 0.20= x  * 35% + 10*0.05

x *35 = 10l * 20 - 10 *5= 10 *15

x = 10l *15/35

x= 4.28 L

x= 4.3L

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Based on the product rule of exponents, a^4 * a^6 = [tex]a^{10}[/tex]

The product rule of exponents says that if two quantities that are multiplied together have the same base, we will add their exponents together to get the product.

Given the following:

a^4 * a^6

Applying the product rule of exponents, we will have:

a^4 * a^6 = a[tex]^{(4 + 6)}[/tex]

a^4 * a^6 = [tex]a^{10}[/tex].

Therefore, based on the product rule of exponents, a^4 * a^6 = [tex]a^{10}[/tex].

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Using Bernoulli's principle, the thing that we know about the ocean and the coast is that E. There is more air pressure over the ocean than over the coast.

According to Bernoulli's principle, which governs fluid dynamics, a fluid's speed increases concurrently with a reduction in pressure or potential energy.

The Bernoulli principle establishes a connection between a fluid's elevation and speed and its pressure. In water, air, or any other fluid with a very low viscosity, these characteristics can be approximated using Bernoulli's equation.

Since the weatherwoman is on the news explaining that there will be high winds on the central coast coming in from the ocean, it implies that there is more air pressure over the ocean than over the coast.

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Answer:

7

Step-by-step explanation:

3 goes into 21 7 times leaving no remainder which means: 3 x 7 = 21

Answer:

x = 7

x = -1

Step-by-step explanation:

2x - 6 = 8  Add 6 to both sides

2x = 14  Divide both sides by 2

x = 7

2x -6 = -8  Add 6 to both sides

2x = -2  Divide both sides by 2

x = -1    

Answer:

138.75 lb

Step-by-step explanation:

75% as a percentage is 0.75.

185(0.75) = 138.75

The values of the functions are:

f(-2) = -6

f(0) = 0

f(3) = 9

Given the function, f(x) = 3x, to find the values of f(-2), f(0), and f(3), solve as shown below.

Find f(-2) by substituting x = -2 into the function, f(x) = 3x:

f(-2) = 3(-2)

f(-2) = -6

The value of f(-2) for the given function is: -6

Find f(0) by substituting x = 0 into the function, f(x) = 3x:

f(0) = 3(0)

f(0) = 0

The value of f(0) for the given function is: 0

Find f(3) by substituting x = 3 into the function, f(x) = 3x:

f(3) = 3(3)

f(3) = 9

The value of f(3) for the given function is: 9

Thus, the values of the functions are:

f(-2) = -6

f(0) = 0

f(3) = 9

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a: The centripetal acceleration of the child = 1.60 m/s².

b: The net horizontal force exerted on the child = 40N.

The parameters provided;

Part a: The child's centripetal acceleration is calculated as follows:

a = v²/r

Put the values;

a = 1.65²/1.7

a = 1.60 m/s²

Thus, the child's centripetal acceleration is 1.60 m/s².

Part b: The child's net horizontal force is calculated as follows:

F = ma

F = 25×1.60

F = 40 N

Thus, child's net horizontal force is 40 N.

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The complete question is-

A child sitting 1.70 m from the center of a merry-go-round moves with a speed of 1.65 m/s.

a. Calculate the centripetal acceleration of the child

b. Calculate the net horizontal force exerted on the child

Mass of child = 25 kg.

Step-by-step explanation:

f(g(x)) means g(x) is embedded in f(x) as the argument or input value for f(x).

therefore,

f(g)x)) = 4(x² - 1) - 7 = 4x² - 4 - 7 = 4x² - 11

c. is the right answer

g(f(x)) is now the other way around. now f(x) is the only value for g(x) :

g(f(x)) = (4x - 7)² - 1 = 16x² - 56x + 49 - 1 = 16x² - 56x + 48

a. is the right answer

Answer:

[tex]K^{2}[/tex]

Step-by-step explanation:

[tex]\frac{K^{-4} }{K^{-6} } \\= \frac{K^{6} }{K^{4} } \\= K^{6-4} \\= K^{2}[/tex]

Answer:

-1/8

Step-by-step explanation:

So to start you already have the denominator equal, which helps a lot. So you do whatever operation is on top which in this case would be 5 + -7. Which you end up with -2/16. Then you simplify and end up with -1/8. Hope this helps. Have a great night. :)

Answer:Let x = the unknown number

The product of a number and 5:  5x

is =

four times the sum of that number and 10:  4*(x+10)

5x = 4(x+10)

5x = 4x + 40

Step-by-step explanation:

The projected weight of baggage overstated on a plane trip to Hawaii is 86(11/12) lbs.

What is an expression?

Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that : the baggage weight projected was 2,182 1/4 lbs and the actual weight of all bags totaled 2,095 1/3 lbs.

Now, to find out by how much was the projected weight overstated we subtract weight projected with actual weight of baggage :

weight overstated = weight projected - actual weight

weight overstated = 2,182 1/4 lbs  - 2,095 1/3 lbs

weight overstated = 87 - 1/12 lbs

weight overstated = 86(11/12) lbs

Therefore, the projected weight of baggage overstated on a plane trip to Hawaii is 86(11/12) lbs.

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The value of y such that the amount of fencing needed is 260 meters is 80 meters

The perimeter of a rectangular field is the sum of the side lengths of the field

For all regular quadrilaterals, you add up the side lengths to determine the perimeter

The given parameters are

Width = 50 m

Amount of fencing = 260 m

Length = y

The amount of fencing is the perimeter of the fence

And perimeter is calculated as

P = 2 * (Length + Width)

So, we have

2 * (y + 50) = 260

Divide both sides by 2

So, we have

y + 50 = 130

Subtract 50 from both sides

So, we have

y = 80

Hence, the value of y such that the amount of fencing needed is 260 meters is 80 meters

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The equation of the obtained inverse function is y=x/4 - 1/2.

The given function is f(x)=4x+2.

The inverse function is represented [tex]f^{-1}[/tex] with regard to the original function [tex]f[/tex] and the domain of the original function becomes the range of the inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

The inverse function f(x)=4x+2 can be solved as follows:

Now, f(x)=4x+2

⇒y=4x+2

⇒x=4y+2

⇒x-2=4y

⇒y=(x-2)/4

The graph of the function and inverse function is plotted as given below.

From the graph, the coordinates are (0, -0.5) and (2, 0).

Slope = m = (y2-y1)/(x2-x1)

=(0+0.5)/(2-0)

=0.5/2

=1/4

Put, m=1/4 and (2, 0) in y=mx+b

We get, 0=1/4 (2)+b

b=-1/2

Then, the equation is y=x/4 - 1/2

Therefore, the equation of the obtained inverse function is y=x/4 - 1/2.

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Trymaine is 20 years old and Sunny is 13 years old.

GIven, Trymaine is 7 years older than Sunny.

In 3 years the sum of their ages will be 39.

Let the age of Trymaine be a and age of Sunny be b.

we have,

a = b ₊ 7

a ₊ 3 ₊ b ₊ 3 = 39

a ₊ b = 39 ₋ 6

a ₊ b = 33 .... eq(2)

therefore a = b ₊ 7

a ₋ b = 7 ....eq(1)

solve eq (1) and eq(2)

2a = 40

a = 20

and a ₋ b = 7

20 ₋ b = 7

₋b = 7 ₋ 20

₋b = ₋13

b = 13

hence Trymaine is 20 years old , whereas Sunny is 13 years old.

hence we get the ages of Trymaine and Sunny as 20 and 13 respectively.

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Answer:

-16

Step-by-step explanation:

pretty sure its the right answer, we did this a week ago in class so it may be wrong.

so first u gotta find the derivative of s(t) to get the vel equation. the derivative of s(t):

s(t)'= -4t, which is the vel equation

s(t)'=v(t)

v(4)=-4(4)

which equals -16

The instantaneous velocity of the ball at t = 4 seconds is -16 feet per second.

To find the instantaneous velocity of the ball at t = 4 seconds, we need to calculate the derivative of the given function s(t) with respect to t, and then evaluate it at t = 4.

Given that s(t) = -2t² - 2, we can find the velocity function v(t) by taking the derivative of s(t):

v(t) = d/dt (-2t² - 2)

v(t) = -4t

Now, we can find the instantaneous velocity at t = 4 by substituting t = 4 into the velocity function:

v(4) = -4(4)

v(4) = -16

This means that at that specific moment, the ball is moving downward with a velocity of 16 feet per second. The negative sign indicates the direction of motion.

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The equation in slope-intercept form is y = x - 6.

What is in slope-intercept form?

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line p is

y = 8x + 2

Comparing with the slope intercept form, slope = 8

If two lines are parallel, it means that they have the same slope. Therefore, the slope of line q passing through ( -1 , -2 ) is 8

To determine the y intercept, we would substitute m = 8, x = - 1 and

y = -2 into y = mx + c. It becomes

-2 = 8 × - 1 + c

-2 = - 8 + c

c = - 8 + 2 = -6

The equation becomes

y = x - 6

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Answer:

d equals to -3, so in every expression we substitute d with -3.

2d(-3d)

2(-3) x (-3x-3)

-6 x 9 = -54

12d - 28

12(-3) - 28

-36-28 = -64

-3d

-3x(-3) = 9

-5d-8

-5x(-3)-8

15-8 = 7

8d+14

8x(-3) + 14

-24 + 14 = -10

hope it helps.

Answer:

you to get my number 3 whole thing together

There is enough information to find the surface area of the​ pyramid

A polyhedron formed by connecting a polygonal base and a point, called the ape-x is known as a pyramid.

The formula for calculating the volume of a pyramid is expressed as:

Volume = BH/3

From the given question, the pyramid is square based. Since we are given the length of the base to be 4.8m and the  height of each triangular face of the pyramid is 6m, we can simply determine the height of the pyramid using Pythagoras theorem and then calculate the volume.

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It's a little hard to determine what the picture says considering it is slightly blurred, however if you are trying to subtract the following, then after simplifying the expression, the solution written in Scientific Notation would be:

[tex]1.702[/tex] × [tex]10^5[/tex]

Hope this helps!