If f(-3) = 7 and f'(x) ≤ 9 for all x, what is the largest possible value of f(4)?

Answer:

1. Sine ratio of angle ∠C = 12/13

2. cos ratio for ∠C = 6/10

Step-by-step explanation:

1. sin = perpendicular /hypotuse

=> 12/13

2. cos = base / hypotuse

=> 6/10

The courting between the variety of hospitals and the wide variety of human beings in a metropolis is characterised by the dependency of hospitals at the populace length.

As the population of a metropolis increases, the call for for healthcare offerings additionally grows.

This higher demand necessitates an increase inside the number of hospitals to cater to the healthcare wishes of the developing population. Hospitals are crucial establishments that offer hospital treatment, emergency services, and specialized treatments.

Their presence and potential without delay correlate with the number of humans in a metropolis, as greater human beings require get right of entry to to medical facilities.

Therefore, the wide variety of hospitals is immediately prompted through the variety of humans residing in a town, organising a relationship of dependency between the two elements.

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Your question seems incomplete, the probable complete question is:

Peter is right and Nadia is wrong.

Equivalent fractions are fractions that represent the same value, even though they look different.

Given is that Peter says 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says while 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.

{ 1 } -

3/4 = (3 x 2)/(4 x 2) = 6/8

Peter is right.

Now -

3/4 = 6/8

So it could not represent two different quantities. So, Nadia is wrong.

{ 2 } -

3/4 = 6/8 = 9/12 = 12/15

These all represent the same quantity. Division of all the expressions will result in same value.

Therefore, Peter is right and Nadia is wrong.

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Answer:

here (edit I made a mistake)

Step-by-step explanation:

9) \(y=\frac{3}{5} x +5\)

10) y = x - 3

11)  \(y=-\frac{3}{5} x - 3\)

12) \(y=\frac{5}{4} x + 2\)

these are the slop int forms, my bad...

sorry

Answer:

9) -3/5x + y = 5

10) -x + y = -3

11) 3/5x + y = -3

12) -5/4x + y = 2

Step-by-step explanation:

The scale drawing is 300 units by 80 units.

What are dimensions?

The minimal set of coordinates required to specify any point within a mathematical space is the dimension of that space. Because only one coordinate is required to specify a point on a line, it has a dimension of one.

Here, we have

Given: A game room has a floor that is 150 feet by 40 feet. A scale drawing of the floor on grid paper uses a scale of 2 units:5 feet.

we have to find the dimensions of the scale drawing.

A scale of 2 units:5 feet means that for every 5 feet in the real game room, there are 2 units in the scale drawing.

To calculate the dimensions of the scale drawing,

We multiply 150 feet by 2 units/5 feet to get 300 units and multiply 40 feet by 2 units/5 feet to get 80 units.

Hence, the scale drawing is 300 units by 80 units.

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The equation of the parabola graphed is given as follows:

y = a(x + 1)² - 4.

What is parabola and examples?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Considering the vertex given, we have that h = -1, k = -4, hence the equation is:

y = a(x + 1)² - 4

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Answer:

3x + 21

Step-by-step explanation:

3(x + 7)           Distribute

3x + 21

Let x = 1.4888... .

Then 10x = 14.888... and 100x = 148.888..., so that

100x - 10x = 148.888... - 14.888...

90x = 147

x = 147/90 = 49/30

Answer:

8

Step-by-step explanation:

1+1+1+1+1+1+1+1=8

take 4 ones and group them into 2 groups gives you 8

The correct answers are: The test is statistically significant. We have observed something unusual if the null hypothesis is true. The other statements are not necessarily true on the given p-value of 1.5%.

Based on the information provided, we can determine the following:

The test is statistically significant: A p-value of 1.5% indicates that the observed result is unlikely to have occurred by chance, given the null hypothesis.

We have observed something unusual if the null hypothesis is true: A small p-value suggests that the observed data is unlikely to be a result of random chance, which implies that the data is unusual if the null hypothesis is true.

The null hypothesis is not necessarily false: The p-value alone does not provide direct information about the truth or falsehood of the null hypothesis. It only indicates the level of evidence against the null hypothesis.

The alternative hypothesis is not necessarily true: Similarly, the p-value does not provide evidence for the alternative hypothesis being true. It only indicates the strength of evidence against the null hypothesis.

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The amount of flour needed would be 2 cups.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

Let the quantity of the required flour would be x cup

As per the given information, we can write the proportion would be as:

1 1/2 dozen cookies : 1 cup flour =  3 dozen cookies : x cup flour

⇒ (1 1/2) / 1 = 3/x

⇒ (3/2) / 1 = 3/x

⇒ 3/2 = 3/x

Apply the cross-multiplication operation,

⇒ x = 6/3

Apply the division operation, and we get

⇒ x = 2

Thus, the quantity of the required flour would be 2 cups.

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Answer:

-2x - 9

Step-by-step explanation:

Answer:

−2x−9

I hope this helps

Step-by-step explanation:

first you need to find the height

V = L×W×H

the volume your given is 880mm³

length is 22mm

width is 8mm

height is unknown

furthermore

V=L×W×H

880mm³= 22mm×8mm×H

880mm³= 176mm²×H

880mm³/176mm²=176mm²/176mm²×H

5mm=H

H=5mm

therefore S.A=2(L×W+ W×H +L×H)

=2(22mm×8mm+8mm×5mm+22mm×5mm)

=2(176mm²+40mm²+ 110mm²)

=352mm²+80mm²+220mm²

=652mm²

Step-by-step explanation:

1 •

if hypothesis and then conclusion

2•

1)

If yesterday was Sunday then today is Monday

2)

if acute angle is an angle then measure is less than 90 degree

3)

if students is taking geometry then it then they are in 10th grade

4)

if it's apes then they love bananas

5)

if the sum of complementary then it is 90°

6)

if it collinear then it lie on the same line

7)

if it four side polygonthen it is quadrilateral

8)

if it rolling stone then it gathers no mass

9)

if your shoes are small then it pinch your feet

10)

if it a car then it has four Wheels

11)

if a object made by paper then it will burn

Answer:

(2,3)

Step-by-step explanation:

-3x-2y=-12

y=5x-7

according to the second equation y is equal to 5x-7 so we enter that into the first equation for y

-3x-2(5x-7)= -12

-3x-10x+14= -12

-13x+14= -12

      -14.  -14

-13x= -26

/-13.  /-13

x= 2

now we know x is 2 we fill in x in any of these equations to find y but i will use the second equation

y=5(2)-7

y=10-7

y=3

now we write it as an ordered pair (x,y)

(2,3)

hopes this helps please mark brainliest

The probability of randomly selecting a gold medalist from the US is0.019

First, the probability of winning a gold medal is given by the quotient between the number of gold medals and the total number of medals.

The number of medals is:

gold = 48 + 90 + 107 + 114 + 397 = 756

There are 1,019 silver ones

There are 782 bronze ones

Then the total number is 756 + 1019 + 782 = 2,557

Then the probability for the gold medal is:

P = 756/2,557

And the probability that the gold medalist is from the US is given by the quotient between the number won by the US (48) and the total number of gold ones (756)

So we get.

Q = 48/756

The joint probability is given by the product of the two:

p = (756/2,557 )*(48/756) = 48/2,557 = 0.019

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Answer:

93 and 616

Step-by-step explanation:

\(3*31=93 \\ and \\7*88=616\)

Hope this helps :)

Pls Brainliest...

Answer:

7z²+3z

Step-by-step explanation:

z(7z+3)

7z²+3z

Answer:

Step-by-step explanation:

\(z(7z+3)\\\)

Expand

\(\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\\\a=z,\:b=7z,\:c=3\\\\=z\times\:7z+z\times\:3\\\\=7zz+3z\\\\7zz=7z^2\\\\=7z^2+3z\)

The following is true of primary data collection: primary data are collected specifically for the research problem at hand.Primary data collection refers to the process of collecting new data or original data that have not been collected before. Primary data are the first-hand data gathered by researchers from original sources.

The following is true of primary data: primary data are collected specifically for the research problem at hand. Primary data are collected to meet specific research objectives and to provide solutions to research problems.Primary data collection methods are affected by the biases of the respondent.

This is because the collection of primary data requires direct contact between the researcher and the respondents or participants. It is important to note that primary data collection methods are relatively more expensive than secondary data. Therefore, researchers should consider the cost implications of primary data collection methods before using them.

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\(f( - 4) = - 122\)

And

\(g(5) = - 21\)

Step-by-step explanation:

Greetings !

For the first expression

\(f(x) = 2x {}^{3} + 6\)

plug in -4 at the variable x and solve the expression.

\(f( - 4) = 2( - 4) {}^{3} + 6\)

Follow the PEMDAS order of operations

calculate the exponents

\(( - 4) {}^{3} = - 64\)

Apply exponent rule

\(( - a) {}^{n} = - a {}^{n} . \: if \: n \: is \: odd\)

Thus,

\(( - 4) {}^{3} = - 4 {}^{3} = - 64\)

Multiply and divide (left to right )

\(2( - 64) = - 128\)

\( = - 128 + 6 \\ = - 122\)

Fairly follow the same. process for the second function

Hope it helps !!

Therefore, to make the game fair, you should earn a profit of $3 when you win.

To determine the profit you should earn when you win in order for the game to be fair, we need to consider the overall expected value.

In this gambling game, you win 25% of the time and lose 75% of the time. Let's assume that when you win, you earn a profit of P dollars. When you lose, you lose $1.

The expected value can be calculated as follows:

Expected Value = (Probability of Winning * Profit) + (Probability of Losing * Loss)

Since the game should be fair, the expected value should equal zero. Thus, we can set up the equation:

0 = (0.25 * P) + (0.75 * (-1))

Simplifying the equation:

0 = 0.25P - 0.75

0.75 = 0.25P

P = 0.75 / 0.25

P = 3

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Referring  to the circle ED  is the chord that is not a diameter.

The circle is one of the shapes with consists of all points with identical distances from its center. A particular circle is named by its center.Here diameter of the circle is the distance across the circle through the center, whereas a chord is a line segment that joins two points on a curve on the circle since the diameter is satisfieding the points of a chord but a chord is not a diameter, as diameter are the line that just passes through the center of the circle, whereas the chord doesn't cross from the center of the circle, thus it can be quoted that, every diameter is a chord, but not every chord is a diameter.

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Answer:

a. area = 78.5

circumference = 31.4

b. area = 113.04

circumference = 37.68

Step-by-step explanation:

To find the area use:

Area = pi • r^2

They said to use 3.14 for pi.

Area = 3.14r^2

For part a, the diameter is given, 10. Radius is half of diameter. Radius is 5.

Area = 3.14•5^2

= 3.14•25

= 78.5

Same formula for area for part b. But the radius is given, 6.

area = 3.14•6^2

= 3.14 • 36

= 113.04

Circumference is

C = pi•d

part a the diameter is 10.

C = pi • 10

= 3.14 • 10

= 31.4

for part b, double the radius to find the diameter. Radius is 6, so diameter is 12.

C = pi • d

= 3.14 • 12

= 37.68

Answer:

Step-by-step explanation:

hello :

P(A ∩ B)=P(A)×P(B)=1/2×1/3 = 1/6

Answer:

4¹⁸

Step-by-step explanation:

(4⁻³)⁻⁶

= 4⁽⁻³⁾⁽⁻⁶⁾

= 4¹⁸

Answer:

\(\large \boxed{4^{18}}\)

Step-by-step explanation:

When a base with an exponent has an whole exponent outside the parenthesis, we multiply the exponents.

\((4^{-3})^{-6}\)

\(4^{-3 \times -6}\)

\(4^{18}\)

Answer:

The mean of a density curve is indicated by µ.

The standard deviation of a density curve is indicated by σ.

This is the answer Egde 2020

The statements which are true about density curves is the mean of a density curve is indicated by u and the standard deviation of a density curve is indicated by Sx.

The density curve is a way of representation of numerical distribution data in graphical manner, where the outcomes are continues. The density curve can not be below the x-axis or horizontal line of the graph.

In a density curve,

Thus, the statements which are true about density curves is the mean of a density curve is indicated by u and the standard deviation of a density curve is indicated by Sx.

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Answer:

6 cups of water

Step-by-step explanation:

3 cups of water = 6 cups of flour.

12 ÷ 6= 2

3 x 2= 6

3/6 -> 6/12

- I hope this helps have a great day

The probability of selecting a player with an average under 300 is 0.99

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

Mean = 250

Standard deviation = 20

Score = Under 300

The z-score is calculated as

z = (300 - 250)/20

So, we have

z = 2.5

The probability is then calculated as

P = P(z < 2.5)

When evaluated, we have

P = 0.99379

Approximate

P = 0.99

Hence, the probability is 0.99

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Question

The Atlanta Braves baseball team has a mean batting average of 250 with a standard deviation of 20. Assume the batting averages are approximately normally distributed

What is the probability of selecting a player with an average under 300?

Answer:

Step-by-step explanation:

finding the smallest possible distance from the line to the origin follows as

the normal vector=(-1,-2,1)

using direction vector we need to create the equation of the plane

-1(x-2)-2(y-3)+1(z+7)=0

we get;

-x+2-2y+6+z+7=0

-x-2y+z+13=0

x=2-t; y=2-3t; z=-7+t

on substituting;

-1(2-t)-2(3-2t)+1(-7+t)+13=0

-2+t-6+4t-7+t+13=0

we get;

t=1

so point is(1,1,-6)

distance from point to origin

d=\(\sqrt{(1^2+1^2+(-6)^2)}\)=\(\sqrt{38}\)

therefore

the answer is \(\sqrt{38}\)=6.16