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The experimental research conducted by the scientist takes into account the following factors:

a)The change in temperature is the independent variable.

b) The effect of temperature on the chimp's act of aggression is the dependent variable.

c)The dependent variable is continuous.

d)The scale of measurement used to measure the dependent variable is interval.

e) The research method being used here is experimental.

In the above experiment the researcher wants to see the change in the aggression of the chimp when there is a change in temperature in the zoo.

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Answer:-0.625

Step-by-step explanation:

Answer:1/2 / 7/8 = 8/14 = 4/7

Step-by-step explanation: switch the numbers on the second fraction and multiply. 1 * 8 = 8 2 * 7 = 14, 8/14 simplify: 4/7

Step-by-step explanation:

f(x) = 4x² - 7 , x = -2

= 4x² - 7

= 4.(-2)² - 7

= 4.4 - 7

= 16 - 7

= 9

The investment in  Fund B is $2000.

To understand the given question we first have to understand the logic of percentage and how it affect the return on Investment.

If an investment fund returns a profit on an investment then the profit is calculated by multiplying the investment with the profit(in decimal form).

For Example: If the investment is A and profit is x % then the profit is calculated by:

Profit =A×([tex]\frac{x}{100}[/tex])

Now in the given problem, let us consider the amount of investment into the Fund B be x.

Profit in Fund B=10%

Profit in Fund A is 3%.

Investment in Fund A=$5000

Total profit from both investments=3% of 5000+10% of x

[tex]=\frac{3}{100}\times 5000 + \frac{10}{100}\times x\\ =150+0.1x[/tex]

Now the total investment=5000+x

The combined profit for both the Investments is 150+0.1x

But the combined profit is 5% for both investments.

profit=[tex]5\% of(5000+x)[/tex]

[tex]=\frac{5}{100}\times (5000+x)\\=0.05\times5000+0.05x\\=250+0.05x[/tex]

Now the profit is same, so if we equate both the expressions of profit we get a linear equation in x.

[tex]\therefore 250+0.05x=150+0.1x\\or,250-150=0.1x-0.05x\\or,100=0.05x\\or,x=2000[/tex]

Thus we can conclude that she invested $2000 in the Fund B.

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The change as a percentage is 6.7 %

The price of the building in the year 2021 is $4,200,00

The price of the building in 2021 is $4,500,000

Therefore the percentage change can be calculated as follows

= 4,500,000 - 4,200,000/4,500,000 × 100

= 300,000/4,500,000 × 100

= 0.066 × 100

= 6.7 %

Hence the percentage change is 6.7%

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Answer:

(1, 7)

(2, 14)

(3, 21)

(4, 28)

Step-by-step explanation:

An integer to describe 6 meters above the sea level would be [tex]+6[/tex] meters.

As per the question statement, We are supposed to use an integer to describe the following situation "6 meters above sea level".

We assume that sea level is the datum line and anything above that would be positive and below that would be negative.

So 6 meters above the sea level can be described as [tex]=6meters[/tex].

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Part 1

[tex]y-4=x-2[/tex]

Part 2

[tex]y=x+2[/tex]

Part 3

[tex]x-y+2=0[/tex]

Answer:

Circumference = 2πr=2×

7

22

​

×7=44 cm

Area = πr

2

=

7

22

​

×7×7=154 cm

2

Answer:

With a circle with radius 7 cm, the circumference of given circle is 14π (cm) and the area is 49π (cm²).

Step-by-step explanation:

Given: radius = 7 cm

Circumference of a circle: C = 2πr

C = 2πr

Substitute given value radius.

C = 2π(7)

Multiply 7 and 2.

C = 14π cm.

Area of a circle: A = πr²

A = πr²

Substitute given value radius.

A = π(7)²

Square the 7.

A = 49π cm²

well, we know it's a rectangle, so we know the opposite sides are perpendicular, so if we just get say the sides AD as its length and BA as its width, that'd give us its area, since it'll just be AD * BA.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad D(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-4}) ~\hfill AD=\sqrt{(~~ -3- (-1)~~)^2 + (~~ -4- 4~~)^2} \\\\\\ ~\hfill AD=\sqrt{( -2)^2 + ( -8)^2}\implies \boxed{AD=\sqrt{68}} \\\\\\ B(\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{4}) ~\hfill BA=\sqrt{(~~ -1- 3~~)^2 + (~~ 4- 3~~)^2}[/tex]

[tex]~\hfill BA=\sqrt{( -4)^2 + (1)^2} \implies \boxed{BA=3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Area}}{(\sqrt{68})(3)\implies (\sqrt{2^2\cdot 17})(3)}\implies (2\sqrt{17})( 3)\implies \LARGE \begin{array}{llll} 6\sqrt{17} \end{array}[/tex]

The ratio of EQUATION the outcome is (17/6)/(8/10) = 3.5416667.

The quotient is the result of dividing two numbers by each other. As in the case of 8 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8 and the divisor is 4.

based on the available facts;

Divide: 17/6 : 8/10

= 17/6· 10/8

= 17 · 10/6 · 8

= 170/48

= 85/ 24

= 85/24

When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal value. Finding the reciprocal of the second fraction is the first sub-step. For example, the reciprocal of 8/10 is 10/8. Multiply the two numerators after that. Multiply the two denominators after that. The intermediate step that comes after canceling by a common factor of 2 yields 85/24.

Therefore, eight tenths of seventeen sixths equal eighty-five twenty-fourths.

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Answer:

Step-by-step explanation:

Indutivo

The value of e from the given equation is -1.78

Linear functions are function that has a leading degree of 1

Given the expression below;

0.75(8+e)=2-1.25e

Expand to have;

0.75(8) + 0.75e = 2-1.25e

6 + 0.75e = 2 - 1.5e

6-2 = -1.5e - 0.75e

4 = -2.25e

e = 4/-2.25

e = -1.78

Hence the value of e from the given equation is -1.78

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Answer:

y=-3

Step-by-step explanation:

First, we start with the basic line equation:
y=ax+b
Plugging in the two points, we get
-3=a(5)+b and
-3=a(-3)+b
Simplifying we get
b=-3-5a
b=-3+3a
Setting the two equations equal, we get
-3-5a = -3+3a
8a = 0

so a =0
plugging in a into the first equation
-3=0(5)+b
b=-3

and finally plugging a and b into y=ax+b we get

y=-3

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Equation: [tex]y=-3[/tex].

To find the slope of this equation, let's refer to the formula of slope:

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

Identify the points:

Let the ordered pair of (5, -3) take the number 1 for the notation. Hence:

[tex]x_{1} =5\\\\y_{1} =-3[/tex]

Note. This assigment of number 1 can be done arbitrarily, we could've named the coordinates of the other ordered pair as number 1 and the result would be the same.

Now, identify the values of the remaining ordered pair.

[tex]x_{2} =-3\\\\y_{2} =-3[/tex]

Substitute the values into the slope formula and calculate.

[tex]m=\frac{(-3)-(-3)}{(5)-(-3)} \\ \\m=\frac{-3+3}{5+3}\\ \\m=\frac{0}{8} \\ \\m=0[/tex]

To find the equation, we're going to use the formula for crafting linear equations which is the following:

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

Substitute the values into the formula and calculate.

[tex]y-(-3) =(0)(x-(-3) )\\ \\y+3=0\\ \\y=-3[/tex]

Note. For this formula you may use any of the ordered pairs to substitute.

Equation: [tex]y=-3[/tex].

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Answer:

x = 3.25

Step-by-step explanation:

Use the Rule of 3 to solve this

Work in picture

Points A, B, C, D, and E are collinear and in that order. The value of Ac is 18.

According to the segment addition postulate, if two points on a line segment, A and C, are given, a third point, B, will only be found on line segment AC if and only if the distances between the points satisfy the conditions of the equation AB + BC = AC.

Keep in mind that a line segment is a portion of a line that has two distinct end points. There are many points between the two end points that make up the object.

The segment addition postulate can be stated more simply by saying that if point B lies on line segment AC, then AB + BC will equal AC.

by the segment addition postulate,

AC + CE = AE so AC = AE - CE

AC = (x+50) - (x+32)

AC = x+50-x-32

AC = 18

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Answer:

Note: Numbers are blocked in groups of two digits for convenience only. In using this table you can read numbers of any number of digits in any way you want.

Step-by-step explanation:

09/14/2022 9 ‑ 10 ‑ 20 ‑ 22 ‑ 52 25 3 $206 Million Roll

09/12/2022 6 ‑ 14 ‑ 16 ‑ 34 ‑ 66 25 3 $193 Million Roll

09/10/2022 38 ‑ 42 ‑ 56 ‑ 68 ‑ 69 4 2 $186 Million Roll

The value of a in the equation in the simplest form will be 17 / 6.

We are given an equation:

x³ / x^(1/6) = x^(a)

We need to evaluate the left hand side to find the value of a in the equation in simplest form.

We know that:

x^ (a) / x^ (b) = x^ ( a - b)

Using this, we get that:

x^ (3 - 1/6) = x^ (a)

x^ (17/6) = x^ (a)

By comparing the bases, we get the value of a as:

a = 17 / 6.

Therefore, the value of a in the equation in the simplest form will be 17 / 6.

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Answer:

143 miles

Step-by-step explanation:

Let x = number of miles

Let y = total cost

150.55 = .92x + 18.99  Multiply all the way through by 100 to clear the decimal

15055 = 92x + 1899  Subtract 1899 from both sides

13156 = 92x  Divide both sides by 92

143 = x

Answer:

The answer will be -5/2.

Step-by-step explanation:

[tex]4x + 2 = - 8 \\ subtracting \: 2 \: from \: each \: sides \: we \: get \\ 4x + 2 - 2 = - 8 - 2 \\ 4x = - 10 \\ diving \: both \: sides \: by \: 4 \: we \: get \\ \frac{4x}{4} = \frac{ - 10}{4} \\ x = \frac{ - 5 \times 2}{2 \times 2} \\ x = \frac{ - 5}{2} [/tex]

Answer:

a+b/2b is an rational no. because LHS is always equal to RHS. therefore our assumption is wrong. hence , 2√2-1 is an irrational number.

Answer:

$2.92 per gallon of gas

Step-by-step explanation:

divide $46.72 and 16

$46.72 ÷ 16 gallons of gas = $2.92

$2.92 per gallon of gas

Answer:

1/5 mile

Step-by-step explanation:

1/10 mile in 1/2 second

This can be written as a ratio:

1/10 mile : 1/2 second

We need the ratio in terms of 1 second, so multiply both numbers in the ratio be 2.

2 × 1/10 mile : 2 × 1/2 second =

= 2/10 mile : 1 second

= 1/5 mile : 1 second

Answer: 1/5 mile

Answer:

4/5 is the slope of the line

Answer:

A, B, C yes

D no

Step-by-step explanation:

A. is a no-brainer. yes, that is indirectly implied.

B. this is compared to D a hidden assumption, that the money you give is guaranteed to be spent on worthwhile causes (not to mention what THAT actually means).

C. this goes combined with B. it is suggested that charity A is not engaging in unworthy causes (again, whatever that means).

D. is not hidden. that is openly said.

The missing coordinate of the points is 7

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 1/2

Points (x1, y1) = (x, 5) and (x2, y2) = (3, 3)

The slope of a linear equation is calculated as

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

So, we have

1/2 = (3- 5)/(3 - x)

Evaluate the differences

So, we have

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

Cross multiply

So, we have

3 - x = -4

This gives

x = 3 + 4

Evaluate the sum

x = 7

Hence, the missing coordinate of the points is 7

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