If W is a subspace of a vector space V and B W is a basis for W,then there is a unique subspace U so that V = W⊕U and a basis B U for U so that BV =BW +BU is a basis for V.

Is this true or false?

The amount that you need to save per month to fund the emergency fund would be $ 861. 58.

The discretionary money left per month would be $ 585. 88.

The gross income for the month :

= 17. 50 x 40 per week x 4 weeks a month

= $ 2, 800

The amount left which is realized funds for the month is:

= Gross income - FICA + Federal tax withholding + State tax withholding

= 2, 800 x ( 1 - 26. 15 %)

= $ 2, 067. 80

Five months of realized income for the emergency fund is:

= 2, 067. 80 x 5

= $ 10, 339

The amount to save per month is:

= 10, 339 / 12

= $ 861. 58

The amount left per month for discretionary expenses ;

= 2, 067. 80 - 861. 58 - 620. 24 rent

= $ 585. 88

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Answer:

jfi6+_4655vud

Step-by-step explanation:

Answer: should be a

Step-by-step explanation:

Answer:

took the NWea test the answer is A A) (x-3)^2+(y-24)^2=49

Step-by-step explanation:

Used math calc to find the answer it gave me 3,4 its not C because if you plug in the math in the calculator it will result in a -3,-4THE CORRECT ANSWER IS A) (x-3)^2+(y-24)^2=49

not C. Hope this helps :)

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

Answer:

The volume of the Box is 648

Step-by-step explanation:

You can use this formula lwh. (Length × Width × Height.)

Hope this helps!

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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The statement that completes the blank is (c) the null hypothesis is true.

In sampling techniques, the expected count of a variable is dependent on the null hypothesis.

This means that, if the null hypothesis is true, then the expected count is what is expected to be seen in the sample.

This in other words, means that the complete statement is:

The expected count of females who are not pierced is what we would expect to see in the sample if the null hypothesis is true.

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Option C is correct, the set of vectors is linearly dependent because one of the vectors is the zero vector.

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.

To determine if the set of vectors is linearly independent, we need to check if any of the vectors can be expressed as a linear combination of the others.

Let's consider the first vector [8 -6 4].

If we try to express this vector as a linear combination of the other vectors, we get:

[8 -6 4] = a[12 -9 6] + b[0 0 0]

where a and b are constants.

We can immediately see that this equation has infinite solutions, because the third component of the second vector is zero, which means we can choose any value for b and still satisfy the equation.

Therefore, the set of vectors is linearly dependent.

Hence, Option C is correct, the set of vectors is linearly dependent because one of the vectors is the zero vector.

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Determine by inspection whether the vectors are linearly independent. Justify your answer.

[8  -6  4][12  -9  6]

A. The set of vectors is linearly independent because nothing times the first vector is equal to the second vector. ​(Type an integer or a simplified​ fraction.)

B. The set of vectors is linearly dependent because nothing times the first vector is equal to the third vector. ​(Type an integer or a simplified​ fraction.)

C. The set of vectors is linearly dependent because one of the vectors is the zero vector.

D. The set of vectors is linearly independent because none of the vectors are multiples of the other vectors.

Answer:

Step-by-step explanation:

Volume of cube = side * side *side

                         = 4 * 4 * 4

                         = 64 cubic cm

The slope formula for tow given points is

where, in our case,

By substituting these values into our formula, we have

Lets compute the numerator first. We have

which gives

Similarly, in the denominator we have

Then, our slope is given by

By applying the sandwhich law, we get

then, the slope is m=5. Then, our line has the followin form

where b is the y-intercept. We can find b by substituting one of the 2 given points, that is, if we substitute point (1/3,4,12) into the last expression, we have

which gives

then b is given by

And finally, the line equation in slope-intercept form is

The answer is \((x+9)+(x-2)\) .

We have given two statements one is " number increased by nine "

Let the number be x .

Mathematically , first statement is represented by

  x + 9

Second statement is " number decreased by two "

Mathematically , second statement is represented by

  x - 2

According to the question

Sum of first and second statement = \((x+9)+(x-2)\)

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Answer:

10

Step-by-step explanation:

using HYPOTHENUS theorem

8^2 + 6^2 = x^2

64 + 36= 100

√100=10

Answer:

10

Step-by-step explanation:

pythagros theorem

8 time 8 is 64

and

6 time 6 is 36

add them up we have

100

square root of 100 is 10

so the answer is 10

ur. welcome

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

40

Step-by-step explanation:

Answer: y=40

Step-by-step explanation: Hope this help :D

Considering the descriptions, angle CEB is found to be 93 degrees

Angle CEB is calculated by investigating the sketch attached

From the sketch, angle CEB and angle AEC are supplementary angles

and angle AEC is given to be 87 degrees.

Supplementary angles are angles that have their sum equal to 180 degrees.

hence In the problem, we have that

angle CEB + angle AEC = 180 degrees

where

angle AEC = 87.

substituting the value into the equation will result to

angle CEB + 87 = 180

angle CEB = 180 - 87

angle CEB = 93 degrees

We can therefore say that angle CEB = 93 degrees

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Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

I'm assuming all the numbers here mistakenly got copied twice.

Let A(t) denote the amount (in kg) of salt in the tank at time t. The solution starts with 70 kg of salt, so (a) A(0) = 70.

I also assume there is more to the question, so I'll just go ahead and build the differential equation to model this situation, and solve it.

Pure water is flowing into the tank, so no salt is being introduced. The concentration of salt at time t is A(t)/2000 kg/L, and solution is drained from the tank at a rate of 4 L/min, which means salt is being removed at a rate of

(4 L/min) (A(t)/2000 kg/L) = A(t)/500 kg/min = 0.002 A(t) kg/min

Thus the amount of salt (ignoring units now) in the tank changes according to the DE,

dA(t)/dt = -0.002 A(t)

which is easy to solve because it's linear with constant coefficients.

Without going into too much detail:

dA(t)/dt + 0.002 A(t) = 0

exp(0.002t ) dA(t)/dt + 0.002 exp(0.002t ) A(t) = 0

d/dt [exp(0.002t ) A(t)] = 0

exp(0.002t ) A(t) = C

A(t) = C exp(-0.002t )

Given A(0) = 70, solve for C :

70 = C exp(0) = C

Hence

A(t) = 70 exp(-0.002t )

Answer:                                                                                                                                                      

2                                                                                                                                                       Step-by-step explanation:

in the places there is X you put -3 , -3 squared minus 7 is equal to 9 , 9-7 is equal to 2

Answer:

\( \large{ \tt{❃ \: EXPLANATION}} : \)

\( \large{ \tt{❁ \: LET'S \: START}} : \)

\( \large{ \tt{⋆ \: f( - 3) = {( - 3)}^{2} - 7}}\)

\( \large{ \tt{↦ \: f( - 3) = ( - 3) \times ( - 3) - 7}}\)

\( \large{ \tt{↦f( - 3) = 9 - 7}}\)

\(↦ \large{ \tt{f( - 3) = \boxed{ \tt{2}}}}\)

\( \tt{✺ \: COMFORT \: IS \: THE \: ENEMY \: OF \: ACHIEVEMENT\: ♪}\)

♡ Hope I helped! ♕

☃Have a wonderful day / evening ! ☼

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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Answer:

Answer:

u got it correct keep going

Step-by-step explanation:

Considering the given equations y = 5ˣ and y = log ₅ x, the classification of the statement as true and false are follows

a) false

b) true

c) false

d) true

The given equations y = 5ˣ and y = log ₅ x are inverse of each other this is to is shown below.

When two functions say A = 5ˣ and B = log ₅ x are inverse the output of function A (say 3125) when substituted as input of B (log ₅ 3125) will yield an output (5) same as the input of A (5)

For y = 5ˣ - exponential function

at x = 5, y = 5⁵ = 3125

at x = 2, y = 5² = 25

at x = 0, y = 5⁰ = 1

For y = log ₅ x - logarithmic function

at x = 3125, y = log ₅ 3125 = 5

at x = 25, y = log ₅ 25 = 2

at x = 1, y = log ₅ 1 = 0

Hence we can say that logarithm is the inverse of exponential function

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Answer: A=286.2 m²

Step-by-step explanation:

The surface area of a cone is \(A=\pi r(r+\sqrt{h^2+r^2} )\).

We are given h=11 m and r=5 m. With these values, we can plug them into the equation to find the surface area.

\(A=\pi (5)(5+\sqrt{11^2+5^2} )\)

\(A=5\pi (5+\sqrt{146} )\\\)

\(A= 268.2 m^2\)

Answer:

The cone pictured has a surface area of_268.2___a0 square meters

Step-by-step explanation:

SA of a cone = πr² + πrs

s = slant height

s = √h² +r²

so combined together

SA of a cone = πr² + πr(√h² + r²) = πr(r +√h² + r²)

SA of a cone = 3.14*5(5+\(\sqrt{11^{2}+ 5^{2} }\) ) =268.2038

Answer:

$144  at the end of 4 months

Step-by-step explanation:

$36 x 4 =144

Answer:

It will be $144

Step-by-step explanation:

because you do 36 times 4 and u get $144

Answer:

\(\frac{4}{5}\)

0.8

Step-by-step explanation:

Happy to help:)