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3 years ago

Find three consecutive integers whose sum is -354.

Mathematics

2 answers:

hoa [83]3 years ago

6 0

Answer:

-117, -118, -119 = -354

Step-by-step explanation:

see attachment

Butoxors [25]3 years ago

3 0

Answer:

1 + 1 = 11

Step-by-step explanation:

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1 way ANOVA analysis was used to test the effectiveness of 3 kinds of headache medicines (Advil, Tylenol, and Excedrin). The ana

denpristay [2]

Answer:

The critical region is F >F ₀.₀₁ (2,18) = 6.01

Step-by-step explanation:

For 1 way ANOVA the degrees of freedom Between Samples would 2 and within Samples would be 18 .

Alpha is given to be = 0.01

v1 = k-1 and v2 = n-k

Where k is the number of rows and n is the total number of values

v1= 3-1= 2 and v2 = 21-3= 18

So if we look up the table we find the values of the critical region to be 6.01

Hence the critical region is less and equal to 6.01

The critical region is F >F ₀.₀₁ (2,18) = 6.01

6 0

3 years ago

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stira [4]

Answer:

4. d= = -0.5

9. b= -2.2

8 0

3 years ago

Can someone help me I need to know the unit rate of:

sladkih [1.3K]

Answer:

A. 60 miles per hour

B.120 customers per day

C.2.5 meters per second

D. $1.59 per pound

Step-by-step explanation:

Here we are asked to determine the unit rate for each one of the options given. By unit rate we mean the quantity for per unit quantity . Hence in order to find that we divide the two and quotient is our unit rate. Let us see how:

A. 420 miles in 7 hours

Unit rate = $\frac{420}{7}$

Unit rate = 60 miles per hour

B. 360 customers in 30 days

unit rate = $\frac{360}{30}$

Unit rate = 120 customers per day

C. 40 meters in 16 seconds

Unit rate = $\frac{40}{16}$

Unit rate = 2.5 meters per second

D. $7.96 for 5 pounds

Unit rate = $\frac{7.96}{5}$

Unit rate = $1.59 per pound

3 0

3 years ago

The problem is attached, thanks.

NeX [460]

Answer:

$\displaystyle \frac{dy}{dx} \bigg| \limit_{(1, 4)} = 2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Exponential Rule [Root Rewrite]: $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Implicit Differentiation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle \sqrt{x} - \sqrt{y} = -1$

Point (1, 4)

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle x^{\frac{1}{2}} - y^{\frac{1}{2}} = -1$
[Implicit Differentiation] Basic Power Rule: $\displaystyle \frac{1}{2}x^{\frac{1}{2} - 1} - \frac{1}{2}y^{\frac{1}{2} - 1}\frac{dy}{dx} = 0$
[Implicit Differentiation] Simplify Exponents: $\displaystyle \frac{1}{2}x^{\frac{-1}{2}} - \frac{1}{2}y^{\frac{-1}{2}}\frac{dy}{dx} = 0$
[Implicit Differentiation] Rewrite [Exponential Rule - Rewrite]: $\displaystyle \frac{1}{2x^{\frac{1}{2}}} - \frac{1}{2y^{\frac{1}{2}}}\frac{dy}{dx} = 0$
[Implicit Differentiation] Isolate y terms: $\displaystyle -\frac{1}{2y^{\frac{1}{2}}}\frac{dy}{dx} = -\frac{1}{2x^{\frac{1}{2}}}$
[Implicit Differentiation] Isolate $\displaystyle \frac{dy}{dx}$ : $\displaystyle \frac{dy}{dx} = \frac{2y^{\frac{1}{2}}}{2x^{\frac{1}{2}}}$
[Implicit Differentiation] Simplify: $\displaystyle \frac{dy}{dx} = \frac{y^{\frac{1}{2}}}{x^{\frac{1}{2}}}$

Step 3: Evaluate

Substitute in point [Derivative]: $\displaystyle \frac{dy}{dx} = \frac{(4)^{\frac{1}{2}}}{(1)^{\frac{1}{2}}}$
Exponents: $\displaystyle \frac{dy}{dx} = \frac{2}{1}$
Division: $\displaystyle \frac{dy}{dx} = 2$