Given f(x) = -2x^2 + 4, determine the slope of the secant line over the interval [-1, 2].

Answer:

B.  7

Step-by-step explanation:

|3x – 1| =

= |3(-2) - 1|

= |-6 - 1|

= |-7|

= 7

Answer: B.   7

Answer:B:(5)

Step-by-step explanation:

I just did the test

The maximum number of balls company can produce will be 5.

What is Mathematical equation ?

By definition, an equation is a mathematical statement made up of two expressions linked by an equal sign.

In other words the equation represents the graph between x and y that is for each value of x there exist one value of y here, for x = 20 baseball bats , y=5 baseball will be produce which can be seen from the given graph by drawing parallel line from the intersection point of x=20 and line AC.

Therefore, y = 5 number of baseball will be produced.

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The smaller numbers are a bit blurry, but I'm assuming angle 1 is the top-most angle and angle 4 is the corresponding angle to angle 1.

If so, then

angle 1 = angle 4

3x-160 = x+20

3x-x = 20+160

2x = 180

x = 180/2

x = 90 is the answer

Answer:

1/4 cup of flour and 1/8 cup of sugar. (i am estimating)

Step-by-step explanation:

Answer:

The correct option is (a).

Step-by-step explanation:

The Pearson's correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

Positive correlation is an association amid two variables in which both variables change in the same direction.  A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

In this case, it is provided that the Pearson correlation coefficient is, r = +0.88.

A correlation coefficient between ±0.70 to ±1.00 are considered as strong positive correlation.

The scatter plot for correlation coefficient between +0.70 to +1.00 shows:

Thus, the correct option is (a).

Answer:

0.409 mol

Step-by-step explanation:

Use ideal gas law:

PV = nRT

where P is absolute pressure,

V is volume,

n is number of moles,

R is universal gas constant,

and T is absolute temperature.

PV = nRT

(1 atm) (10.0 L) = n (0.0821 L·atm/mol/K) (25 + 273) K

n = 0.409 mol

Answer:

a unit rate is a rate with one in the denominator

Answer:

34

Step-by-step explanation:

To do this you would just plug in the values into the variables so you get [tex]|-5^{2} +3^{2} |[/tex] and when you simplify you get |25+9| which when you add together you get |34| and the absolute value is just 34 since it is not negative.

If m = -5 and n = 3, then the value of the expression |m² + n²| will be 34.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The expression is given below.

⇒ |m² + n²|

Put m = -5 and n = 3, then the value of the expression will be

⇒ |(-5)² + 3²|

⇒ |25 + 9|

⇒ |34|

⇒ 34

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Answer:

[tex]\frac{3s^2-4}{s(s^2-4)}[/tex]

Step-by-step explanation:

Here, the question is to find the Laplace transformation of [tex]f(t)[/tex]

where, [tex]f(t)=(e^t-e^{-t})^2[/tex]

We know that for [tex]t>0[/tex],  [tex]\mathcal{L}\{f(t)\} =\int_0^{\infty} e^{-st}f(t)dt[/tex]

[tex]\mathcal{L}\{e^{at}\}=\int_0^{\infty} e^{-st}e^{at}dt[/tex]

[tex]\Rightarrow \mathcal{L}\{e^{at}\}=\int_0^{\infty} e^{(a-s)t}dt[/tex]

[tex]\Rightarrow \mathcal{L}\{e^{at}\}=\left[\frac { e^{(a-s)}}{a-s}\right]_0^{\infty}[/tex]

[tex]\Rightarrow \mathcal{L}\{e^{at}\}=\frac { 1}{s-a}\cdots(i)[/tex]

Here, we have [tex]f(t)=(e^t-e^{-t})^2[/tex]

[tex]\Rightarrow f(t)=(e^t)^2+(e^{-t})^2-2(e^t)(e^{-t})[/tex]

[tex]\Rightarrow f(t)=e^{2t}+e^{-2t}-2e^{0t}[/tex]

So, the laplace transformation of [tex]f(t)[/tex] is

[tex]\mathcal{L}\{f(t)\}=\mathcal{L}\{e^{2t}+e^{-2t}-2e^{0t}\}[/tex]

[tex]\Rightarrow \mathcal{L}\{f(t)\}=\mathcal{L}\{e^{2t}\}+\mathcal{L}\{e^{-2t}\}+\mathcal{L}\{e^{0}\}[/tex]

Now, using equation[tex](i)[/tex]

[tex]\mathcal{L}\{f(t)\}=\frac{1}{s-2}+\frac{1}{s-(-2)}+\frac{1}{s-0}[/tex]

[tex]\Rightarrow \mathcal{L}\{f(t)\}=\frac{1}{s-2}+\frac{1}{s+2}+\frac{1}{s}[/tex]

[tex]\Rightarrow \mathcal{L}\{f(t)\}=\frac{3s^2-4}{s(s^2-4)}[/tex]

Hence, the Lapelace transformation of [tex]f(t)=(e^t-e^{-t})^2[/tex] is

[tex]\frac{3s^2-4}{s(s^2-4)}[/tex].

Josie ate more and burped louder because 5/8 is greater than 6/10 and Josie ate 5/8 of the pie.

Given,

Josie ate 5/8 of a pie and Marge ate 6/10 of a pie.

We need to find who ate more and therefore burped louder.

We need to compare the given fraction and see which is greater.

We have,

Josie = 5/8 of a pie.

Marge = 6/10 of a pie.

Now,

We can compare the fraction in three ways:

Case 1. - In terms of %

5/8 x 100 = 62.5 %

6/10 x 100 = 60%

62.5 % > 60%
5/8 > 6/10

Case 2. - In terms of decimals

5/8 = 0.625

6/10 = 0.6

0.625 > 0.6

5/8 > 6/10

Case 3. -In terms of multiplying

5/8 = 6/10

5 x 10 = 6 x 8

50 = 48

50 > 48

5/8 > 6/10

5/8 is greater than 6/10 so the one who eats 5/8 of the pie ate more and burped louder.

Thus Josie ate more and burped louder.

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Answer:

The answer is B (60)

Step-by-step explanation:

The formula for area is L x W, since they claim the base is 12in and even state teh length is 10in all that is needed is to multiply 12 x 10 to get 120. The area of the window is 120 inches. and half of 120 is 60 Area articulates  the space occupied by a flat shape or the surface of an object. The answer is B

The area of the window will be 60 square inches. Then the correct option is B.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

A small window in a barn is shaped like a parallelogram. The height of the window is half the length of the base of the window.

The formula for area is L x W, since they claim the base is 12in and even state the length is 10 in all that is needed is to multiply 12 x 10 to get 120.

The area of the window is 120 inches and half of 120 is 60 Area articulates the space occupied by a flat shape or the surface of an object.

The area of the window will be 60 square inches. Then the correct option is B.

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Answer:

Step-by-step explanation:

Parallelogram has 2 parallel pairs of sides, and the parallel lines have to be opposite therefore they have to be parallel.

Answer:

  B)  2%

Step-by-step explanation:

The simple interest formula is ...

  I = Prt

Interest I is earned on principal P when it is invested at rate r for t years.

Filling in the given values, we can solve for r:

  200 = 2000r(5)

  200/10000 = r = 2/100 = 2%

The interest rate is 2%.

Answer:

a^8

Step-by-step explanation:

[tex]a^3 \cdot a^5\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\a^3a^5=a^{3+5}\\\\=a^8[/tex]

a3 * a5 =

a * 3 * a * 5 =

a² * 15 =

15a²

Hi there! Hopefully this helps!

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[tex]12 = 12+ \frac{v-8}{2}[/tex]

Multiply both sides of the equation by 2 to get:

[tex]24 = 24 + v - 8[/tex]

Subtract 8 from 24 to get 16.

[tex]24 = 16 + v[/tex]

Swap sides so that all variable terms are on the left hand side.

[tex]16 + v = 24[/tex]

Subtract 16 from both sides.

[tex]v = 24 - 16[/tex]

Options :

A) 50t + 60t =4002

B) (50t)2+(60t)2 = 4002

C) 50t + 60t = 400

C) 50t2 + 60t2 = 4002

Answer:

400^2 = (50*t)^2 + (60*t)^2

Step-by-step explanation:

Given the following :

Ms. Ironperson:

moves due east

Speed = 50 mph

Rate of travel = 50t

Let time taken = t ; hence Distance covered with respect to time = ( 50 * t) = 50t

Mr. Thoro

moves due South

Speed = 60 mph

Rate of travel = 60t

Let time taken = t ; hence Distance covered with respect to time = ( 60 * t) = 50t

They are moving at right angle from each other, thus, we can apply Pythagoras rule ;

The displacement between them will be = 400 miles which is the hypotenus

From Pythagoras :

Hypotenus^2 = opposite^2 + Adjacent^2

Displacement = distance 1 + distance 2

400^2 = (50*t)^2 + (60*t)^2

Answer:

Step-by-step explanation:

xxxx.com

Answer:

[tex](7x)^{\frac{3}{2} }[/tex]

Answer:

2.74 microns

Step-by-step explanation:

According to the given situation, the calculation of position, in microns, is shown below:-

Here we will use the standard normal table,

P(Z > z) = 20%

1 - P(Z < z) = 0.2

P(Z < z) = 1 - 0.2

P(Z < 0.84) = 0.8

after solving the above equation we will get

z = 0.84

Now we will use the z-score formula,

[tex]x = z \times \sigma + \mu[/tex]

[tex]x = 0.84 \times 0.35 + 2.45[/tex]

x = 0.294 + 2.45

= 2.744 microns

or

= 2.74 microns

Answer:

See below.

Step-by-step explanation:

So we have the expression:

[tex]8+x^2-4x^3+5x+2x^2[/tex]

Like terms are terms in which the variables and the exponents they are in are exactly the same.

In the above expression, the only like terms are x² and 2x². Thus, we can add them:

[tex](x^2+2x^2)+8-4x^3+5x\\=3x^2+8-4x^3+5x[/tex]

Answer:

[tex]\huge\boxed{x^2 \ and \ 2x^2}[/tex]

Step-by-step explanation:

Given Expression is:

[tex]8 + x^2 -4x^3+5x+2x^2[/tex]

"Like terms" are terms whose variables and their exponents are the same.

So, In the given expression, the like terms are:

=> [tex]x^2 \ and \ 2x^2[/tex]

==================================================

Explanation:

I'll use y in place of V for now. Also, I'll use x in place of t.

x = number of years

y = value of the oven

Initially, the oven's value is $875, so x = 0 and y = 875 pair up together. The point (0,875) is on the line.

The point (5, 0) is also on the line to indicate that x = 5 years later is when the value of the oven is y = 0 dollars.

We need to find the equation of the line through (0,875) and (5,0)

First we'll need the slope

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

m = (0-875)/(5-0)

m = -175

The negative slope means the oven is losing 175 dollars in value each year.

The y intercept is b = 875 as this is the initial value of the oven

Put together, y = mx+b turns into y = -175x+875

If we plugged x = 0 into this equation, we'd get y = 875

Similarly, plugging x = 5 into y = -175x+875 leads to y = 0. This helps check we have the right equation

Lastly, replace x with t and replace y with V to end up with V = -175t + 875 which is our final answer.

B. Smallest value for a given interval.

Hope this helps.

Answer:

B) smallest value for a given interval.

Step-by-step explanation:

Answer: [tex]5/18[/tex]

Do Keep Change Flip (KCF)

Keep: [tex]5/3[/tex]

Change: ÷ into ×

Flip: [tex]6/1[/tex] into [tex]1/6[/tex]

Multiply

[tex]5/3*1/6=5/18[/tex]

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Hi my lil bunny!

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[tex]\boxed{\frac{5}{3} \div \frac{6}{1} = \frac{5}{18}}\\[/tex]

[tex]\frac{5}{3} \div \frac{6}{1} =[/tex]

Apply the fraction rule : [tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} . \frac{c}{d}[/tex]

[tex]= \frac{5}{3} . \frac{1}{6}[/tex]

Multiply the fractions : [tex]\frac{a}{b} . \frac{c}{d} = \frac{a . c}{b . d}[/tex]

[tex]= \frac{5 . 1}{3 . 6}[/tex] ( This " . " means times ! )

Multiply the numbers : [tex]5 . 1 = 5[/tex]

[tex]= \frac{5}{3 . 6}[/tex]

Multiply the numbers : [tex]3 . 6 = 18[/tex]

[tex]= \frac{5}{18}[/tex]

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Have a great day/night!

❀*May*❀

Answer:

[tex]\huge\boxed{\frac{y}{8} }[/tex]

Step-by-step explanation:

Quotient means to divide. So, the expression will be like:

=> [tex]\frac{y}{8}[/tex]

Answer:

Left 1

Step-by-step explanation:

Its easy

Answer:

q = 27/10

Step-by-step explanation:

10/9 = 3/q

To find q, we must seperate it from the other numbers,

First we divide both sides by 3,

(10/9)/3 = (3/q)/3

10/27 = 1/q

Now we find the reciprocal of both sides to get the answer,

27/10 = q

q = 27/10