PLEASE HELPPP!! Noah jumped eight inches farther than the sum of the jumps made by his teammates Ava and Logan. Which equation represents the length of Noah’s jump?

A. z = x + y − 8; x represents Logan's jump, y represents Ava's jump, and z represents Noah's jump.

B. x = 8 + y + z; x represents Logan's jump, y represents Noah's jump, and z represents Ava's jump.

C. y = x + z − 8; x represents Ava's jump, y represents Noah's jump, and z represents Logan's jump.

D. x = y + z + 8; x represents Noah's jump, y represents, Logan's jump, and z represents Ava's jump.

84. A basis for the solution space of the given homogeneous linear system is {(1, -1, 0), (-1, 0, 1)}. The dimension of the solution space is 2.85. A basis for the solution space of the given homogeneous linear system is {(2, -1, 0, 1), (-1, 2, 1, 0), (1, 0, 1, 3)}.

The dimension of the solution space is 3.86. A basis for the solution space of the given homogeneous linear system is {(2, 6, 1, 0), (-1, -3, 0, 1), (2, 6, 1, 0)}. The dimension of the solution space is 2.87. A basis for the solution space of the given homogeneous linear system is {(2, -1, 1)}. The dimension of the solution space is 1.

We will find the solution of each equation by using the elimination method.84. 2x1 - x2 + x3

= 0  x1 + x2

= 0  -2x1 - x2 + x3 = 0  Let's solve this linear system of equations in order to find the solution of x. x1 + x2 = 0 can be rewritten as

x2 = -x1.Substitute x2 = -x1 in equation 1 and 3.

2x1 - x2 + x3 = 0 becomes

2x1 + x1 + x3 = 0 which gives

3x1 + x3 = 0 or x3

= -3x1.-2x1 - x2 + x3 = 0 becomes

-2x1 + x1 - 3x1 = 0, and that simplifies to

-4x1 = 0. This implies x1 = 0.Now we have

x1 = 0 and

x3 = 0. x2 = -x1 = 0.

The dimension of the solution space is

2.85. 3x1 - x2 + x3 - x4

= 0  4x1 + 2x2 + x3 - 2x4

= 0

We will solve this linear system of equations by using the elimination method. This will result in the solution of

x.3x1 - x2 + x3 - x4 = 0 becomes

x4 = 3x1 - x2 + x3. Substituting x4 into the second equation, we obtain 4x1 + 2x2 + x3 - 2(3x1 - x2 + x3) = 0.

This simplifies to -2x1 + 3x2 - 4x3 = 0.

Now we have x4 = 3x1 - x2 + x3 and -2x1 + 3x2 - 4x3 = 0.

To get the basis for the solution space, we find all free variables. In this case, there are three free variables.

Let x1 = 1, x2 = 0, and x3 = 0, this gives (2, 0, 0, 3).

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Answer:

just subtract 38 from 72 and but the answer as x   x:38

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

First you need to divide the cost by the number of gallons dollars/number of gallons =cost per gallon

And then round it . I hope it helped

Answer:

3.7

Step-by-step explanation:

Hypotenuse is 5

Adjacent is unknown x

Cos 42 = adjacent / hypotenuse

Co's 42 = x/ 5

0.74 = x/5

Multiply both sides by 5

3.7 = x

Consider the function f(t) = 120000 − 8000t + t² and find and simplify the difference quotient of the given function, which is: f(t+h) − f(t) / h. In order to find the difference quotient of the function we first need to find the value of f(t+h).

The simplified difference quotient of the given function is: f(t+h) − f(t) / h = -8000 + 2t + h. Therefore, we will substitute (t+h) in place of t in the given function -8000 + 2t + h Difference quotient of the given function: f(t+h) − f(t) / h =

f (t+h) = 120000 − 8000(t+h) + (t+h)²f(t+h)

= 120000 − 8000t − 8000h + t² + 2th + h²

= (120000 − 8000t − 8000h + t² + 2th + h² − 120000 + 8000t − t²) / h

= (-8000h + 2th + h²) / h= -8000 + 2t + h

The simplified difference of the given function is: f(t+h) − f(t) / h = -8000 + 2t + h.

Therefore, the difference quotient of the given function is: -8000 + 2t + h. In this problem, we are given the function f(t) = 120000 − 8000t + t², and we need to find the difference quotient of the given function. In order to find the difference quotient, we need to evaluate f(t+h) and simplify the expression by substituting the given values. We first substitute (t+h) in place of t in the given function f(t), and we get f(t+h) = 120000 − 8000(t+h) + (t+h)². We then simplify this expression by expanding the square term (t+h)², which gives us f(t+h) = 120000 − 8000t − 8000h + t² + 2th + h². We can now substitute the values of f(t+h) and f(t) in the formula for difference quotient. After simplifying the expression, we get the difference quotient of the given function, which is -8000 + 2t + h.

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Because the lines are parallel, the 71 degree angle and the (5x-26) angle when added together need to equal 180 degrees.

SO you have 71 + 5x -26 = 180

Simplify:

5x + 45 = 180

Subtract 45 from both sides:

5x = 135

Divide both sides by 5:

x = 135 / 5

x = 27

Now you have x solve what that angle equals:

5x - 26 = 5(27) - 26 = 135 - 26 = 109 degrees

The angle Y and the angle 5x-26 are vertical angles, which mean they are the same,

so now we know 5x-26 = 109 degrees, so Y also equals 109 degrees.

The answers are:

x = 27

y = 109

Answer:

Step-by-step explanation:

One pair of coordinates is sufficient to work out the constant of proportionality.

Equation in general form:

and

Substitute x- and y- coordinates into equation and find the value of k:

\( \huge {\green{\fbox{\blue{\underline{\pink{Answer}}}}}}\)

Perimeter of a triangle = Sum of all sides of triangle

The unit of perimeter of a triangle is same as length of its sides

Answer:

Yes

Step-by-step explanation:

The missing angle in triangle DER is 42 (as angles in a triangle add up to 180) and the missing angle in TVA (LOKI lol ) is 110 (as angles in a triangle add up to 180) .

Since all angles are equal the triangles must be similar .

Hope this helped and have a good day

A higher percentage of people who did not wear wrist guards (41.67%) experienced wrist injuries compared to those who did wear wrist guards (11.32%).

Based on the information provided, we can analyze the data on injuries to in-line skaters. Let's break down the given numbers:

Total number of people interviewed: 161

Number of people wearing wrist guards: 53

Number of people wearing wrist guards with wrist injuries: 6

Number of people not wearing wrist guards: 108

Number of people not wearing wrist guards with wrist injuries: 45

From this information, we can calculate the following:

Percentage of people wearing wrist guards with wrist injuries:

(Number of people wearing wrist guards with wrist injuries / Number of people wearing wrist guards) × 100

= (6 / 53)× 100 ≈ 11.32%

Percentage of people not wearing wrist guards with wrist injuries:

(Number of people not wearing wrist guards with wrist injuries / Number of people not wearing wrist guards)×100

= (45 / 108) ×100 ≈ 41.67%

These calculations provide insights into the likelihood of wrist injuries in relation to wearing wrist guards while inline skating. The data suggests that the percentage of wrist injuries among those wearing wrist guards is lower (11.32%) compared to those not wearing wrist guards (41.67%). This indicates that wearing wrist guards may offer some protection against wrist injuries while inline skating.

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Answer:

Do u mean 5+5=10 ?

Answer:

w = (-6)/7

Step-by-step explanation:

Solve for w:

-w/2 - 3/5 = w/5

Hint: | Put the fractions in -w/2 - 3/5 over a common denominator.

Put each term in -w/2 - 3/5 over the common denominator 10: -w/2 - 3/5 = (-5 w)/10 - 6/10:

(-5 w)/10 - 6/10 = w/5

Hint: | Combine (-5 w)/10 - 6/10 into a single fraction.

(-5 w)/10 - 6/10 = (-5 w - 6)/10:

(-5 w - 6)/10 = w/5

Hint: | Make (-5 w - 6)/10 = w/5 simpler by multiplying both sides by a constant.

Multiply both sides by 10:

(10 (-5 w - 6))/10 = 2 w

Hint: | Cancel common terms in the numerator and denominator of (10 (-5 w - 6))/10.

(10 (-5 w - 6))/10 = 10/10×(-5 w - 6) = -5 w - 6:

-5 w - 6 = (10 w)/5

Hint: | In (10 w)/5, divide 10 in the numerator by 5 in the denominator.

10/5 = (5×2)/5 = 2:

-5 w - 6 = 2 w

Hint: | Move terms with w to the left hand side.

Subtract 2 w from both sides:

(-5 w - 2 w) - 6 = 2 w - 2 w

Hint: | Combine like terms in -5 w - 2 w.

-5 w - 2 w = -7 w:

-7 w - 6 = 2 w - 2 w

Hint: | Look for the difference of two identical terms.

2 w - 2 w = 0:

-7 w - 6 = 0

Hint: | Isolate terms with w to the left hand side.

Add 6 to both sides:

(6 - 6) - 7 w = 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

-7 w = 6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -7 w = 6 by -7:

(-7 w)/(-7) = 6/(-7)

Hint: | Any nonzero number divided by itself is one.

(-7)/(-7) = 1:

w = 6/(-7)

Hint: | Simplify the sign of 6/(-7).

Multiply numerator and denominator of 6/(-7) by -1:

Answer: w = (-6)/7

Answer:

-5/10w - 3/5 = 2/10w

- 3/5 = 7/10w

-30 = 35w

-30/35 = w

-6/7 = w

-----

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

Answer:

\((x-0)^{2} + (y-5)^{2} = 25\)

Step-by-step explanation:

The "template" equation of a circle is:

\((x-h)^{2} + (y-k)^{2} = r^{2}\)

All you're doing after that, is filling in the blanks:

h = 0

k = 5

r = 5

Answer:

Correct answer:

(x−0)² + ( y−5)²=5²

Explanation:

The equation of a circle is (x−h)²+(y−k)²=r²

The center is (0,5) or, written another way (h,k). Substituting 0 for h and 5 for k, our formula becomes (x−0)²+(y−5)²=5²

Finally, the formula of the circle is (x−0)²+(y−5)²=25

The point (2, 3, 3), we have:

∂z/∂x = 1/8

∂z/∂y = -1/6

To use the equations given in the problem, we first need to check if Fz is not equal to zero at the point (2, 3, 3) in the equation 3z^3 − 3xy − 5yz + y^3 −9 = 0.

We can find Fz by taking the partial derivative of F with respect to z:

Fz = 9z^2 - 5y

At (2, 3, 3), we have:

Fz(2, 3, 3) = 9(3)^2 - 5(3) = 72

Since Fz is not equal to zero at the point (2, 3, 3), we can use the equations given in the problem to find ∂z/∂x and ∂z/∂y.

∂z/∂x = −Fx/Fz

To find Fx, we take the partial derivative of F with respect to x:

Fx = -3y

Therefore,

∂z/∂x = −Fx/Fz = -(-3y)/72 = 3y/72 = y/24

At the point (2, 3, 3), we have:

∂z/∂x (2, 3, 3) = 3/24 = 1/8

∂z/∂y = −Fy/Fz

To find Fy, we take the partial derivative of F with respect to y:

Fy = -5z + 3y^2

Therefore,

∂z/∂y = −Fy/Fz = -(-5z + 3y^2)/72 = (5z - 3y^2)/72

At the point (2, 3, 3), we have:

∂z/∂y (2, 3, 3) = (5(3) - 3(3)^2)/72 = -4/24 = -1/6

Therefore, at the point (2, 3, 3), we have:

∂z/∂x = 1/8

∂z/∂y = -1/6

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Answer:

Likely

Step-by-step explanation:

It is not guaranteed, but it is not impossible. There is a higher chance of it happening compared to it not happening, so it it likely.

As given by the question , so here the vertical and horizontal asymptotes are at x = -12 and y = 1.5.

On a function graph, a vertical asymptote represents the point at which the function is undefined. Take the formula f(x) = 1/x as an illustration. This function's graph exhibits a vertical asymptote at x = 0 since the function is undefined at this value (division by 0 is undefined).

A function's horizontal asymptote is a horizontal line on the function graph that the function approaches as the input (x-value) increases or decreases dramatically. Consider the function f(x) = x2 as an illustration. Because the y-values of the function do not converge to a fixed value as x grows very big, the graph of this function lacks a horizontal asymptote.

We must identify the values of x at which the function is undefined in order to determine the vertical asymptotes of the function 3x/(2x+24).So, to find the vertical asymptotes of the function, we need to solve the equation 2x + 24 = 0 for x. so x = -12.

Similarly, To find the horizontal asymptote in case of equal degrees of numerator and denominator i.e 1 in this case, we need to take the ratio of the first coefficients of numerator and denominator respectively which is 3/2 = 1.5.

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Answer:

x= -0.3

Step-by-step explanation:

0.8-2x=1.4 Set up equation

-2x=1.4-0.8  Put Like terms together

-2x=0.6       Subtract like terms

x=0.6/-2     Divide

x=-0.3        Answer

The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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Answer:

4

Step-by-step explanation:

Answer:

64/27

Step-by-step explanation:

Answer:

A I'm pretty sure

Step-by-step explanation:

hope that helps .-.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{-1}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

now, we know that our line is perpendicular to that one, thus

\(\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}\)

so we're really looking for the equation of a line that has a slope of 1 and runs through (0 , 10)

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{1}(x-\stackrel{x_1}{0}) \\\\\\ y-10=x\implies y=x+10\)

Answer:

78.5 m²

Step-by-step explanation:

Area formula: πr²

Plug it in: (3.14)(5m)²

Answer: 78.5 m²

None of the provided options is correct. The simplified value of the expression [(23)4]2 is 65536.

To simplify the expression [(23)4]2, we start by evaluating the exponent inside the inner parentheses:

(23)4 = 23 * 23 * 23 * 23

This results in 256. Now, we substitute this value back into the expression:

[(23)4]2 = 2562

Squaring 256 gives us 65536. Therefore, the simplified value of the expression [(23)4]2 is 65536.

So, the correct answer is not listed among the options provided. None of the given options (a) 17666216, b) 12222617, c) 17222167, d) 16777216) match the simplified value of 65536.

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Answer:

x = -1

Step-by-step explanation:

The axis of symmetry of the graph \(y=(x-3)^2\) is  x=3 but,

If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:

\(x=3-4\\x=-1\)

-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is

(-1 , -2) I attached an image so you can visualize clearly

Step-by-step explanation:

a1=ar⁰=12 A2=ar¹=-6

a=12 ar=-6

12r=-6

r=-6/12

r=-1/2

a10=ar⁹

=12*(-1/2)⁹

=12*(-512)

=-3/128

S∞ = a1 / (1-r )

=12/(1-1/2)

=12*1/2

=6

The tenth term of the progression will be -3/128, and the sum to infinity will be 6.

The geometric progression defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio

We have been given that the first term of a geometric progression is 12 and the second term is -6

So common ratio r = second term/first term = -6/12= -1/2

The tenth term of the progression will be

⇒ ar¹⁰⁻¹ = ar⁹

⇒ 12(-1/2)⁹

⇒ -12(1/512)

⇒ -3/128

The sum to infinity = a / (1-r )

The sum to infinity = 12/(1 - 1/2)

The sum to infinity = 12 × 1/2

The sum to infinity = 6

Thus, the tenth term of the progression will be -3/128, and the sum to infinity will be 6.

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Answer:

60

Step-by-step explanation:

It is really easy just subtract the money with the percentage

Answer:

42

Step-by-step explanation:

Subtract 30% from 100. Then Subtract an extra 40% from that amount

The perimeter will also be scaled down by half if the original triangle if it were scaled down by half.

The total length of a triangle's boundary is referred to as its perimeter. It is the total of the triangle's three sides. A triangle's perimeter will be equal to a+b+c if its three sides are a, b, and c.

The sides of the original triangle are:

x+3, 2x+4, 3x-1

The perimeter of the triangle will be

\(x+3+2x+4+3x-1\\=6x+6\)

If it were scaled down by half then new sides will be

\(\frac{x+3}{2} , \frac{2x+4}{2} , \frac{x-1}{2}\)

So, the perimeter of the new triangle will be

\(\frac{x+3}{2} + \frac{2x+4}{2} + \frac{3x-1}{2}\\=\frac{x+3+2x+4+3x-1}{2} \\=\frac{6x+6}{2}\\ =3x+3\)

This is half of the original triangle's perimeter. Therefore, the perimeter of the new triangle is half of the perimeter of the original triangle.

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Answer: 21

3(4) + 2(5) - 1 = 21

1min=4 newspapers

3min=12 newspapers

how I got 1min=4 newspapers

so I took how he got 20 newspapers in 5 min divided 20 by 5

which I got 4 out of than I did 4x3 and got 12 which means 3mins= 12 newspapers

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