The vertex of a quadratic function is located at (1.4), and the y-intercept of the function is (0, 1). What is the value of

a if the function is written in the form y = a(x – h)2 + K?

a=

Answer:

197.3

Step-by-step explanation:

Answer:

92% of Income is  Rs 18400

Step-by-step explanation:

I = 18400/.92 = Rs 20000

The approximation to a zero of the function f using the tangent line at x = 3 is 2.5 (option c).

When we have a differentiable function and we know the value of the function and its derivative at a specific point, we can use the tangent line at that point to approximate zeros of the function.

In this case, the function f has a tangent line at x = 3, and we know that the function value f(3) is 2 and the derivative f'(3) is 5.

The tangent line has the same slope as the derivative at that point, so its slope is 5. The equation of the tangent line can be written as: y - f(3) = f'(3)(x - 3)

Plugging in the values we know, we have: y - 2 = 5(x - 3)

Simplifying the equation, we get: y = 5x - 13

To find the zero of the function, we set y equal to zero and solve for x: 0 = 5x - 13

5x = 13

x = 13/5

So the approximation to a zero of the function f using the tangent line at x = 3 is 2.6, which is closest to 2.5 (option c).

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Answer:

B: N

Step-by-step explanation:

Answer:

I believe it would be C if not then im sorry

Step-by-step explanation:

Check the picture below.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{AC}\\ a=\stackrel{adjacent}{40}\\ o=\stackrel{opposite}{60} \end{cases} \\\\\\ AC=\sqrt{ 40^2 + 60^2}\implies AC=\sqrt{ 1600 + 3600 } \implies \boxed{AC=\sqrt{ 5200 }} \\\\[-0.35em] ~\dotfill\)

\(\tan(25^o )=\cfrac{\stackrel{opposite}{FC}}{\underset{adjacent}{60}} \implies \boxed{60\tan(25^o)=FC} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} \textit{ the pythagorean theorem} \\\\ c^2=a^2+o^2 \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{A F}\\ a=\stackrel{adjacent}{\sqrt{5200}}\\ o=\stackrel{opposite}{60\tan(25^o)} \end{cases} \\\\\\ (A F)^2= (\sqrt{5200})^2 + (60\tan(25^o))^2\implies A F^2\approx 5200+27.98^2 \\\\\\ A F\approx\sqrt{5200+27.98^2}\implies \boxed{A F\approx 77.349~cm}\)

Answer:

0.7 ounces

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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EFGH is a quadrilateral in which ABCD is a quadrilateral and its midpoints are E, F, G, and H the midpoint of AB, BC, CD, and AD

ABCD is a quadrilateral and its midpoints are E, F, G, and H the midpoint of AB, BC, CD, and AD

The triangle formed ADC

H and G are the midpoints of AD and DC

GH ║ AC

GH = 1/2 AC

In triangle ABC

E and F are the midpoints of AB and BC

EF ║ AC

EF = 1/2 AC

SO, EF = GH

EF ║ GH

So it forms an quadrilateral EFGH

As opposite sides are equal and parallel.

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The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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The statement is false. In the pair of linear equation, if a₁/a₂ ≠  b₁/b₂ then the equations have unique solution.

Given that,

The pair of linear equation

a₁x +b₁y +c₁=0 and

a₂x +b₂y +c₂=0

We have to prove if a₁/a₂ ≠  b₁/b₂ then the equations have no solution.

We know that,

In the pair of linear equation

a₁x +b₁y +c₁=0 and

a₂x +b₂y +c₂=0

If a₁/a₂ ≠  b₁/b₂ then System is called consistent and have a unique Solution

Lines intersect each other at unique point

a₁/a₂ =  b₁/b₂ = c₁/c₂ then consistent (infinite solution) as both Equation represent same line

a₁/a₂ =  b₁/b₂ ≠ c₁/c₂ then inconsistent (no Solution) as Lines are parallel and never intersect each other

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Answer:

B. representative

Step-by-step explanation:

The distribution of characteristics of elements in a representative sample is the same as the distribution of those characteristics among the total population of elements.

In the case of a random sample, the characteristics may differ with some margin

In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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Answer:

Step-by-step explanation:

16. 6.9, or 69/10

17. D,  12 feet

18. 6 11/12

Answer:

C.144

Step-by-step explanation:

Angle 1 and 9 are supplementary angles so angle 1+9=180 degrees.

Substitute it, 36+angle 9=180

Use the subtraction property of equality to get angle 9 = 144

Hope this helps and is the answer you were looking for

:)

Answer:

m∠9 = 144

Step-by-step explanation:

measure of straight angle FCE=180

angle FCE=measure of angle 9 + measure of angle 1

180=m∠9+36

180-36=m∠9

m∠9=144

Answer:

x=-5/4

Step-by-step explanation:

Let the number be  x and y

     x.y=2/5    (The product of two rational numbers is 2/5)

if  one of the number is  -8/25

x.(-8/25)=2/5

(Here Substituted the value of one of the number yoy may substitute the value -8/25 in place of x

x=(2/5) *(-25/8)    

x=-5/4  

\(\sf \bf {\boxed {\mathbb {GIVEN:}}}\)

Product of two rational numbers = \(\frac{2}{5} \)

One of the number = \(\frac{-8}{25} \)

\(\sf \bf {\boxed {\mathbb {TO\:FIND:}}}\)

The other number.

\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)

The other number is \(\frac{ - 5}{4} \).

\(\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}\)

Let the other number be \(x\).

As per the question, we have

\(Product \: \: of \: \: the \: \: two \: \: rational \: \: numbers = \frac{2}{5} \\\)

\(➺ \: \frac{ - 8}{25} \times x = \frac{2}{5}\\ \)

\(➺ \: x = \frac{2}{5} \times \frac{-25}{ 8}\\ \)

\(➺ \: x = \frac{-50}{ 40} \\\)

\(➺ \: x = \frac{ - 5}{4}\\ \)

\(\sf\purple{Therefore,\:the\:other\:number\:is\: \frac{ - 5}{4} .}\)

\(\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}\)

\(➺ \: \frac{ - 8}{25} \times \frac{ - 5}{4} = \frac{2}{5} \\\)

\(➺ \: \frac{40}{100} = \frac{2}{5}\\ \)

\(➺ \: \frac{2}{5} = \frac{2}{5}\\ \)

➺ L. H. S. = R. H. S.

Hence verified.

\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}\)

Based on the graph given, the option that will show the same amplitude as function m is graph D.

The cosine function is seen as:

f(x) = A*cos(kx) + M

And the functions are:

When the function is m(x) = -2*cos(x+π).

The absolute value of the amplitude will be 2*|-2| = 4

Therefore, the option that can have the requirement above is graph D.

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The price of in dollars per ounce is 0.3 dollars per ounce.

The amount of ounce of strawberries Ayden bought is 32 ounces.

Ayden bought two pounds of strawberries for $9.60. The price, in

dollars per ounce of strawberries can be calculated as follows:

Let's convert pounds to ounces as follows:

1 pound = 16 ounces

2 pounds = ?

cross multiply

weight in ounces = 16 × 2

weight in ounces = 32 ounces

Therefore, Ayden bought 32 ounces of strawberries.

Hence,

price of the strawberries = 9.60 / 32

price of the strawberries =  0.3 dollars per ounce

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If an independent event has four uncertain outcomes, their probabilities are 20%, 45%, 15%, and C: 20%.

In probability, the sum of the probabilities of all possible outcomes must equal 100%. In this case, the probabilities of the four uncertain outcomes are given as 20%, 45%, 15%, and 20%. This means that each of these outcomes has a chance of occurring equal to the given percentage, and the total probability of all four outcomes is 20% + 45% + 15% + 20% = 100%.

It is important to note that when calculating probabilities, the percentages must add up to 100% to ensure that the total chance of all possible outcomes occurring is equal to 1 or 100%.

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Step-by-step explanation:

what did your teacher want to achieve by the 2 questions that have the same answer ? or is sea level different from the surface of that body of water ? that information would be missing.

the driver descends 15.2 ft per second =

= 15.2/1 ft/s = 15.2 ft/s

after 4.1 seconds the diver descends 15.2 × 4.1 = 62.32 ft.

so, the diver is at that time 62.32 ft under the surface of that body of water.

if sea level is different to the surface of that body of water, then that difference has to be added (when sea level is higher that the water surface) or subtracted (when sea level is below the water surface) to get the the position below or above sea level.

Answer: G=7.12

Step-by-step explanation: 25g-175=3 add 175 to both side which makes the equation 25g=178 and divide 178 by 25 which gives you 7.12

Answer:

g=178/25

Step-by-step explanation:

Step 1: 25(g-7)/25=3/25

Step2: g-7=3/25

Step 3: g-7+7=3/25 + 7

Answer: g=178/25

Decimal form would be g=7.12

Option (D) is correct.

To evaluate the above integral, we need to evaluate its two parts: ∫ ∂D (e³x + y²) dx and ∫ ∂D (8xy + y³) dy.We first need to find the boundary curve of the given region. We have the equation of the curve x = y - y².

The curve intersects y-axis at y = 0 and y = 1. At y = 0, x = 0 and at y = 1, x = 0. Therefore the boundary curve of the region D is the curve y - y² = x = 0 ≤ x ≤ 1 with the orientation from (0, 1) to (0, 0).

Now, we have to evaluate the two parts of the given integral.\(∫ ∂D (e³x + y²) dx = ∫₀¹ (e³x + y²)dx {x = 0 on the curve ∂D}\)

Let's evaluate the above integral. \(∫₀¹ (e³x + y²)dx= 1/3 (e³ - 1) + ∫₀¹ y² dx= 1/3 (e³ - 1) + 1/3= (e³ - 1)/3 + 1/3= (e³)/3 ∫ ∂D (8xy + y³) dy = ∫₁⁰ (8xy + y³)dy {y - y² = x}\)

Let's evaluate the above integral.\(∫₁⁰ (8xy + y³)dy= 4 - 3/4= 13/4\)

Therefore, the value of the given line integral \(∫ ∂D (e³x + y²) dx + (8xy + y³) dy is(e³)/3 + 13/4\), which is the final answer.

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Answer:

Part 1:

From 1:20 to 1:55 is a total of 35 minutes. Since the minute hand completes one full rotation in 60 minutes, it moves halfway around the clock during this time. Therefore, the minute hand moves pi (or 180 degrees) radians.

Answer: pi (or 180 degrees)Part 2:

Since the minute hand has a length of 6 inches, we can use the formula for the circumference of a circle to find how far the tip of the minute hand travels during this time.

C = 2pir

C = 2pi6

C = 12pi

So the tip of the minute hand travels a total distance of 12pi inches during the 35 minutes from 1:20 to 1:55.

Answer: 12*pi inches

Answer:

D

Step-by-step explanation:

the slope formula is y²-y¹/x²-x¹

so if we take a y², it could be 4.3 and a y¹ would be 4.7 since it is before that. 4.3-4.7 gives us -0.4

and then we take an x², it could be 30 and a x¹ would be 20 and if you subtract both of those you get 10.

now going back to our slope equator we already subtracted so now its time to divide. we decided-0.4/10 which gives us -0.04 which is the same as choice d! hope this helps:()

Answer: 60%

Step-by-step explanation:

6/10 = 60/100 = 60%

Answer: 60%

Step-by-step explanation:

6/10=60/100

Answer:

Bats        Insects(grams)

9                   45g

36                  X g

Unitary method :

              \(X = \frac{36*45}{9} = 4*45 = 180g\)