When hiking down a mountain from her camp, Samantha discovered that the path she was on was 18 yards below the camp. Which value is the opposite of the distance that Sam hiked from her camp?

Answer:12.35 = t

Step-by-step explanation:

95 + t + 3.5 = 110.85

where t  = tax

12.35 = t

If two of the angles in a scalene triangle are 54° and 87°, the value of the other angle is 39°.

A scalene triangle is a triangle that has three unequal sides.

We have,

Two angles of a scalene triangle are 54° and 87°

We know that,

A scalene triangle has all its three angles different in measures and obeys the angle sum property.

i.e Sum of the three interior angles = 180 degrees.

Let M is the other angle.

M + 54° + 87° = 180°

M = 180 - 141

M = 39°

Thus the value of the other angle is 39°.

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Answer:

4 weeks and 1 day

Step-by-step explanation:

7 x 4 = 28

28 + 1 = 29

Answer:

4weeks and 1 day

7X4=28

28+1=29

Step-by-step explanation:

hope this helps (❁´◡`❁)

Answer:

I believe the answer is 6.6

Step-by-step explanation:

If you multiply 6 by 10 you get 60. Divide 60 by 9 you get 6.6

Answer:

-43.5

Step-by-step explanation:

After 15 second he would have swam to a level of -43.5.

Answer: Maxwell jogs faster.

Step-by-step explanation:

Haley jogs 3/4 miles in 10 minutes.

Maxwell jogs 2/3 miles in 8 minutes.

3/4 = .75

2/3 = .6 repeating

No the given two ratios not form a proportion.

Any relationship that has a constant ratio is said to be proportional. For instance, the ratio of proportionality is the average number of apples per tree, and the number of apples in a crop is proportional to the number of trees in the orchard.

Two equivalent fractions are typically used to represent a proportion. For instance: The ratios on either side of the equal sign can be seen in the equation. Because inches and feet are consistent units, each ratio compares the same units, and as a result, all ratios are equivalent. Two quantities are compared to form a ratio. An equality of two ratios is a proportion.

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Answer: 0.04632

Step-by-step explanation:

Answer:

1.6 potatoes per minute

Step-by-step explanation:

8 divided by 5 is 1.6

Answer:

[tex]y=-8[/tex]

Step-by-step explanation:

Recall the slope formula:

[tex]m=\frac{x_{2} -x_{1}}{y_{2} -y_{1}}[/tex]

Since all of the x and y values are -8, we can easily plug in the values.

[tex]m=\frac{-8+8}{-8+8}=0[/tex]

(The second -8 on the top and bottom is positive because adding when subtracting negatives, you must add. For example -1-(-1) would become -1+1=0)

Recall the point-slope formula:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

Now substitute and solve.

[tex]y-(-8)=0(x-(-8)[/tex]     Substitute

[tex]y+8=0(x+8)[/tex]               Simplify

[tex]y+8=0[/tex]                          Distributive Property

[tex]y=-8[/tex]                             Subtraction Property

Therefore the answer is [tex]y=-8[/tex].

All the roots of equation x⁴ +2x³ -x² -2x +10 are: (1 + i), (1 - i), -2i, 2i

In the given question, we have to find out all the roots or solutions for the equation x⁴ +2x³ -x² -2x +10. One of the roots given for this equation is 1+i

According to the 'Complex Conjugate' pairs, if an equation has a complex number as a root then its conjugate will also be a root of the equation.

So, we get z = 1 + i as a root then z* = 1 - i which is the conjugate of z, and z* will also be a root of the equation.

Also, the product of two roots will also be a root of the equation. So,

we know that, x = 1 + i, x = 1 - i, we get their product:

(x -(1 + i))*(x - (1 - i))   => by solving we get => x² -2x +2 = 0

     => x² -2x +1 = 1  => x² -x -x +1 = 1 (by middle term split)

     => x(x-1) -1(x-1) = 1  => we get (x - 1) as a factor

So, (x - 1) = 1  => x = 2

    => x = -2i, we get x = -2i

Again, by Complex conjugate pairs if x = -2i is a factor then it's conjugate x = 2i is also a factor.

Hence, the roots of the equation are: (1 + i), (1 - i), -2i, 2i

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Answer:

Fill in the blanks to declare sum equal to a + b (int _ = a __b

It should be noted that two perfect squares so that the square root will fall between consecutive numbers of 0.4 and 0.5 include 0.2025 and 0.2209.

It should be noted that based on the information, we want to find two perfect squares so that the square root will fall between consecutive numbers of 0.4 and 0.5.

In this case, it should be noted that 0.45 × 0.45 = 0.2025. It should be noted also that 0.47 × 0.47 = 0.2209.

As a result, 0.2025 and 0.2209 are two perfect squares such that the square root will lie between consecutive numbers of 0.4 and 0.5.

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Answer: offf

Step-by-step explanation:off

The average amount of money spent by students in the cafeteria last week was between $2.25 to $3.25

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the average amount of money spent by students.

The absolute value inequality is given by the equation:

|x - 2.75| = 0.5

Hence:

x - 2.75 = 0.5 or -(x - 2.75) = 0.5

x = 3.25 or x = 2.25

The average amount of money spent by students in the cafeteria last week was between $2.25 to $3.25

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The equation that represents the cost, y, of x gallons of gasoline, is expressed as: y = 3.25x.

To create an equation in slope-intercept form, y = mx + b, for a table of values, use two pairs of values from the table to find the slope (m) and determine the y-intercept (b).

Using (5, 16.25) and (8, 26.00) find the slope (m):

Slope (m) = change in y / change in x = (26.00 - 16.25) / (8 - 5)

Slope (m) = (9.75) / (3)

Slope (m) = 3.25

Find the y-intercept (b) by substituting m = 3.25 and (8, 26.00) into y = mx + b:

26.00 = 3.25(8) + b

26.00 = 26.00 + b

26.00 - 26.00 = b

0 = b

b = 0

Substitute m = 3.25 and b = 0 into y = mx + b:

y = 3.25x + 0

y = 3.25x

Therefore, the equation that represents the cost, y, of x gallons of gasoline, is expressed as: y = 3.25x.

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The meaning of the 0.4m in this equation is the additional cost of hiring the delivery truck for m number of miles.

Given equation:

C = 0.4m + 68

Where

m = number of miles

C = total cost of hiring the delivery truck

68 = Fixed cost of hiring the delivery truck

0.48 = Additional cost per mile of hiring the delivery truck

For instance,

If the truck is hired for 10 miles

C = 0.4m + 68

= 0.4(10) + 68

= 4 + 68

C = $72

Therefore, the meaning of the 0.4m in this equation is the additional cost of hiring the delivery truck for m number of miles.

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The graph of the inequality |2x - 5| ≥ 3 represents   4 ≤ x ≤ 1 which is

B: Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded.

Inequality is a comparison between two nonequal quantities and they are of four types.

We know |2x - 5| ≥ 3 is,

2x - 5 ≥ 3.

2x ≥ 3 + 5.

2x ≥ 8.

x ≥ 4.

OR

-(2x - 5) ≥ 3.

-2x + 5 ≥ 3.

-2x ≥ - 2.

-x ≥ 1.

x ≤ 1.         ( Think of moving the terms on other sides to make x positive)

So, the graph of the inequality |2x - 5| ≥ 3 is   4 ≤ x≤ 1.

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[tex] \bf \implies \: ( - \frac{9}{4}) \: or \: (- 2 \frac{1}{4} )\: or \: ( - 2.25 )\\ [/tex]

Step-by-step explanation is in attachment see and go through it

Answer:

18

firstly you solve √81×√16

that is the square root of 81 × the square root of 16

so that equal to 1/2 × 9×4

another name for of is multiplication

1/2× 36

you divide 2 in 36 which is 18 and the 1 you multiple 1 ×18

= 18

8 is greater than -10, because 8 is farther to the right than -10 in a number line.

Answer:

1st image: -14, 4

2nd image: -0.7, 1.7

3rd image: -5/8, 7/8

Step-by-step explanation:

What I came up with...

Maximum value occurs at the vertex, given by (h,k)=(-2,8)

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is: h(x) = -(x + 2)² +8.              

This function is in the form: a[tex](x-h)^{2}[/tex]+k

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object. The word symmetry implies balance.

The axis of symmetry is given by  x = h

By comparison, we have -h=2.

This implies h=-2

Therefore the axis of symmetry is  x = -2

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph. If your quadratic equation has a negative term, it will also have a maximum value.

The maximum value occurs at the vertex, given by (h,k)=(-2,8)

See attachment for the axis of symmetry and maximum point.

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In vertex form, the quadratic function F(x) = 2x² + 8x + 4 is given by:

y = 2(x + 2)² - 4

The graph of the function is given at the end of the answer.

The equation of a quadratic function, of vertex (h,k), is given by the following rule:

y = a(x - h)² + k

In which:

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

For the function F(x) = 2x² + 8x + 4, the coefficients are given as follows:

a = 2, b = 8, c = 4.

Hence the coordinates of the vertex are:

Hence:

y = 2(x + 2)² - 4

As the leading coefficient is of a = 2.

The graph of the function is given at the end of the answer.

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Answer:

n + 8 ÷ 7

Step-by-step explanation:

I think that's the answer, but I could be wrong- lol.

Answer:

Hi

Step-by-step explanation:

Diego is actually and totally wrong

because √4 divide 2= 2 divide 2 =1

and 4/2=2

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Answer:

81°

Step-by-step explanation:

m∠1 + m∠2 + m∠3 = 180° because they add to form a straight angle.