Solve the following quadratic equation by using the quadratic formula.

-2x^2 - 3x + 4 = 0

(Answers are in photo)

10 points!!!
please explain how you got your answer.

Answer:

(x-1)²=8.

Step-by-step explanation:

1) if the length before decreasing is 'x', then after decreasing it is x-1;

2) then the area is (x-1)²=8.

PS. the length before decreasing is 1+2√2.

The slope of the ideal vector, determined by examining the coefficients of the variables in the regression equation is:

Cleaning Ability: 2.3

Cost: 1.0

Disinfecting Ability: 0.6.

In this case, the regression equation is:

Overall Preference = -2.1 + 2.3 * Cleaning Ability + 1.0 * Cost + 0.6 * Disinfecting Ability

The coefficients of the variables represent the weights or importance assigned to each variable in determining the overall preference. Therefore, the slope of the ideal vector would be the coefficients of the variables in the regression equation.

Based on the given regression equation, the slope of the ideal vector would be:

Cleaning Ability: 2.3

Cost: 1.0

Disinfecting Ability: 0.6

These values indicate the relative importance or impact of each variable on the overall preference for Slippery Soap.

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That sentence tells us that when you add 9 to Craig's age, the answer is 41 therefore you are simply adding those two and you'll get the equation:

\(c\ +\ 9\ =\ 41\)

Answer:

11 shelves.

Divide 96 by 9

96 ÷ 9 = 10.6

Since 10.6 rounds to 11, and it is more than 10, we will need 11 shelves to store the books, since there is no such thing as a half-bookshelf here.

Answer:

b; f(x)=6x-12

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

A=B*H/2

A=15*20/2

A=300/2

A=150

Ignore the hypotenuse btw

Answer:

C - 150 mm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define Variables

Base b = 15 mm

Height h = 20 mm

Step 2: Find Area A

The correct result of the mathematical expression is 0.2962, not 0.3048.

To solve the equation 24 - 0.01879 * 1261.1111 = 0.3048, you can follow these steps:

1. Multiply 0.01879 by 1261.1111: 0.01879 * 1261.1111 = 23.7038
2. Subtract 23.7038 from 24: 24 - 23.7038 = 0.2962

Therefore, the correct result of the equation is 0.2962, not 0.3048.

Now, to find ŷi, we need more information about the context and the variables involved. ŷi typically represents the predicted value of the dependent variable based on a linear regression model. It requires the use of a regression equation and the values of the independent variables.

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Answer: 30

Step-by-step explanation:

Given

Polyhedron has (E)58 edges

It has same number of faces and vertices

Using Euler's formula

\(\Rightarrow V-E+F=2\)

where

V=no of vertices

E=no of edges

F=no of edges

Suppose there are x faces

Insert the values

\(\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30\)

Thus, polyhedron has 30 faces.

Answer:

30

Step-by-step explanation:

14% of the houses have neither straw roofs nor electricity.

What is algebra?

A common theme that unites almost all of mathematics is algebra. The study of variables and the guidelines for formulating their manipulation are part of it. Elementary algebra is a requirement since all mathematical applications involve manipulating variables as though they were numbers.

Here. we have

Given data,

Percent of houses having straw roofs = 80%

Percent of houses that had no electricity = 34%

Houses with straw roof and no electricity = (1/4)*houses having straw roofs

Let the total number of houses in the village be 'x'

So, number of houses having straw roof = (80/100)*x = 0.8x

Number of houses having no electricity = (34/100)*x = 0.34x

Number of houses having straw roof and no electricity = (1/4)*(80/100)*x = 0.2x

Number of houses without straw roofs and electricity = (total number of houses having no electricity - number of houses having a straw roof and no electricity) = 0.34x - 0.2x = 0.14x

Hence, 14% of the houses have neither straw roofs nor electricity.

Question: In a village, 80% of the houses have straw roofs and

34% of the houses have no electricity. A quarter of

the houses with straw roofs have no electricity. What

percentage of the houses have neither straw roofs

nor electricity?

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All the vector space properties mentioned in the given options are satisfied in the set S of all 5-tuples of positive real numbers are true.

In the given statements:

If u and v are vectors and u ∧ v, then (u + v) ∥ u ∧ v.

u · (v ∧ w) = (u · v) ∧ w.

If u ∥ v and v ∧ w, then u ∥ (v ∧ w).

(u × v) · (u + v) = 0.

The true statements among these are:

If u and v are vectors and u ∧ v, then (u + v) ∥ u ∧ v.

u · (v ∧ w) = (u · v) ∧ w.

To determine the true statements among the given options, let's analyze each option individually:

Option 1: Ou + vis in S whenever u, v are in S.

This statement is true because in the set S of all 5-tuples of positive real numbers, the sum of two positive real numbers is always positive.

Option 2: For every u in S, there is a negative object -u in S, such that u + (-u) = 0.

This statement is true because in the set S, for any positive real number u, the negative of u (-u) is also a positive real number, and the sum of u and -u is zero.

Option 3: u + v = v + u for any u, v in S.

This statement is true because addition of 5-tuples in S follows the commutative property, where the order of addition does not affect the result.

Option 4: ku is in S for any scalar k and any u in S.

This statement is true because when multiplying a positive real number (u in S) by any scalar k, the result is still a positive real number, which belongs to S.

Option 5: There is a zero object 0 in S, such that u + 0 = u.

This statement is true because the zero object 0 in S is the 5-tuple consisting of all zeros, and adding 0 to any element u in S leaves u unchanged.

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The series of 0s and 1s representing data or instructions is called binary code. It is the foundation of digital communication and computing systems. Each binary digit, or bit, can be thought of as a switch that is either off (0) or on (1), allowing for the representation of complex information.

Binary code is a system used to represent data or instructions using only two symbols: 0 and 1. It is the foundation of digital communication and computing systems. Each digit in binary code is called a bit, which is short for "binary digit." Bits can be thought of as switches that can be in one of two states: off (0) or on (1).

By arranging these bits in different patterns, we can represent and manipulate complex information. For example, in binary code, the letter "A" is represented as 01000001. This binary representation allows computers to process and store information using electronic circuits that can easily interpret and manipulate 0s and 1s.

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If Adam completes 12 sit ups in 15 seconds, Adam can complete 32 sit-ups in 40 seconds.

If Adam can complete 12 sit-ups in 15 seconds, we can find out his average rate of doing sit-ups per second by dividing 12 by 15.

Average rate = 12/15 = 0.8 sit-ups per second

Now, to find out how many sit-ups Adam can complete in 40 seconds, we can use the formula:

Number of sit-ups = (Average rate of doing sit-ups per second) x (Time in seconds)

Number of sit-ups = 0.8 x 40 = 32

This calculation assumes that Adam can maintain a consistent rate of sit-ups for the entire 40 seconds.

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Step-by-step explanation:

It is translated up 6 units, with the y value is vertical (up and down). The y value is 5, (x, y). Because it only moves up you would keep the x value, -3, and add 6 to the y value. So 5+6=11

The new coordinates are now (-3,5)

Hope this helps :)

The area of the path if the circular pond with a path around it is 34.557 m²

Circle is the locus of a point such that its distance from a fixed point known as the center is constant.

The area of the circle (A) with radius r is given by:

A = πr²

Area of the pond with path = π(5m + 1m)² = π(6)² = 113.097 m²

Area of the pond = π(5m)² = π(5)² = 78.54 m²

Area of path = 113.097 m² - 78.54 m² = 34.557 m²

The area of the path if the circular pond with a path around it is 34.557 m²

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The flux of the vector field v(x, y, z) = 3xy2i + 3x2yj + z3k across the unit sphere is 4π.

The flux of the vector field v(x, y, z) = 3xy2i + 3x2yj + z3k out of the unit sphere can be found using the divergence theorem, which states that the flux of a vector field across a closed surface is equal to the volume integral of the divergence of the vector field over the enclosed volume.

The unit sphere can be represented by the surface S given by the equation x2 + y2 + z2 = 1. The outward unit normal to this surface is given by the vector n = xi + yj + zk.

Using the divergence theorem, the flux of the vector field v across the surface S is given by the volume integral of the divergence of v over the enclosed volume V:

Flux = ∬_S v · n dS = ∭_V ∇ · v dV

To evaluate the integral, we first need to find the divergence of v:

∇ · v = ∂(3x\(y^{2}\))/∂x + ∂(3\(x^2\)y)/∂y + ∂(\(z^3\))/∂z

= 3\(y^2\) + 6xy + 3\(z^2\)

Next, we need to find the volume of the unit sphere:

V =∭_V dV = \($\int_{-1}^1\int_{-\sqrt{1-y^2}}^{\sqrt{1-y^2}}\int_{-\sqrt{1-x^2-y^2}}^{\sqrt{1-x^2-y^2}} dz,dx,dy$\)

= 4/3 π

Substituting the divergence and volume into the divergence theorem equation, we get:

Flux = ∬_S v · n dS = ∭_V ∇ · v dV = ∭_V (3\(y^2\) + 6xy + 3\(z^2\)) dV

= 3∭_V (\(y^2\) + 2xy + \(z^2\)) dV

= 3∭_V (\(x^2\) + \(y^2\) + \(z^2\)) dV  (by symmetry)

= 3V

= 4π

Therefore, the flux of the vector field v across the unit sphere is 4π.

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The duration of the given bond is 7.50 years.

The result means that the bond's price is more sensitive to changes in interest rates than a bond with a shorter duration.

If the interest rates increase by 1%, the bond's price is expected to decrease by 7.50%. On the other hand, if the interest rates decrease by 1%, the bond's price is expected to increase by 7.50%.

We talk about the duration of a bond because it helps in measuring the interest rate sensitivity of the bond. It is a measure of how long it will take an investor to recoup the bond’s price from the present value of the bond's cash flows. In simpler terms, the duration is an estimate of the bond's price change based on changes in interest rates. The duration of a par value semi-annual bond with an annual coupon rate of 8% and a remaining time to maturity of 5 years can be calculated as follows:

Calculation of Duration:

Annual coupon = 8% x $1000 = $80

Semi-annual coupon = $80/2 = $40

Total number of periods = 5 years x 2 semi-annual periods = 10 periods
Yield to maturity = 8%/2 = 4%
Duration = (PV of cash flow times the period number)/Bond price
PV of cash flow

= $40/((1 + 0.04)^1) + $40/((1 + 0.04)^2) + ... + $40/((1 + 0.04)^10) + $1000/((1 + 0.04)^10)
= $369.07

Bond price = PV of semi-annual coupon payments + PV of the par value
= $369.07 + $612.26 = $981.33

Duration = ($369.07 x 1 + $369.07 x 2 + ... + $369.07 x 10 + $1000 x 10)/$981.33
= 7.50 years

Therefore, the duration of the given bond is 7.50 years. The result means that the bond's price is more sensitive to changes in interest rates than a bond with a shorter duration.

If the interest rates increase by 1%, the bond's price is expected to decrease by 7.50%. On the other hand, if the interest rates decrease by 1%, the bond's price is expected to increase by 7.50%.

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Complete Question:

sierrac3000

06/28/2019

Select the correct answer from each drop-down menu.

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.

250(1+0.018/2)^2t

Use the given expression to complete the statements below.

The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*

1st Blank:

Product

Sum

Quotient

Square

2nd Blank:

Quotient

Product

Difference

Sum

3rd Blank:

Compounding Periods

Years

Months

Answer:

1st blank = product

2nd blank = sum

3rd blank = years

Step-by-step explanation:

The expression given above is :

250(1+0.018/2)^2t

The expression can thus be explained as:

The *product* of the amount initially deposited and the *sum* of one and the rate of increase raised to the number of *years*

Answer

Option D is the pair of functions which is not a pair of inverse function.

Explanation

First of, the inverse of a function is a function that reverses the actions of the function. That is, for the inverse function, if we are given f(x), we would be able to obtain x.

The step to finding a function's inverse is to write y instead of f(x). We then rewrite by replacing the y by x and then make y the subject of formula, the y which is a subject of formula now, represents the inverse function, f⁻¹(x).

For each of them, we can get the other one from it.

f(x) = (x + 1)/6

y = (x + 1)/6

x = (y + 1)/6

Cross multiply

6x = y + 1

y = 6x - 1

g(x) = 6x - 1

f(x) = (x - 4)/19

y = (x - 4)/19

x = (y - 4)/19

19x = y - 4

y = 19x + 4

g(x) = 19x + 4

f(x) = x⁵

y = x⁵

x = y⁵

y = 5√x

g(x) = 5√x

Only option D doesn't give the inverse of the other function.

Hope this Helps!!!

Answer:

x ≤ -4

Step-by-step explanation:

There is a closed circle at -4, which requires and equals sign

The line goes to the left, which is less than

x ≤ -4

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

Answer:

(I am not sure what the question means but according to what I understood I got these as my answers)

33 pounds = 55%

114 = 240 %

95% = 57 pounds

Answer:

x=5/6

Step-by-step explanation:

lcm=6x

6xX1/2x+6xX1/3x=6xX1 (divide through)

3x1+2x1=6xX1

3+2=6x

5=6x

5/6=6x/6 (divide through)

x=5/6

Hope it help

Given the following sentence:

" In a recent poll, 3% of the people surveyed were in favor of the new law "

We will write the given percentage as a decimal

So, 3% = 3/100 = 0.03

so, the answer will be 0.03

Answer:

Since the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5=6 sides.

hope i helped !! ;))

Answer:

Hexagon (6 sides)

Step-by-step explanation:

The formula to find the sum of interior angles is (n -2) × 180 where n is the number of sides.

720°/180° = 4

4 + 2 = 6

6 sides