Solve using quadratic formula: 5x^2+9=4x+5

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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Hasan travels

Anneliese because the

of Hasan's graph is

that of Anneliese's graph.

The

of the graph tells you the unit rate is in

Answer:

2

Step-by-step explanation:

C = 8

a = 4

8/4 = 2

Answer:

2

Step-by-step explanation:

Hey There!

If c = 8 and a=4 then you would have

\(\frac{8}{4}\) which is equivalent to 2

so your answer is 2

The y-intercept of the line of best fit is -5.18cm and it is showing the initial height of the plant immediately it was planted and it is not reasonable because it shows a negative height

The general form of the equation of a line in slope intercept form is expressed as;

y = mx + c

where;

m is slope

c is y-intercept.

Now, we are given the equation of the line of best fit as;

y = 0.404x - 5.18

where;

y represents the height of the plant above ground level.

x represents the number of days since it was planted.

a) From the given equation, we see that the slope is; m = 0.404 and that the y intercept is -5.18.

Now, what the y-intercept means is that the height of the plant is 5.18 cm below the ground and this is not reasonable.

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Answer:

The plane is:

This is containing the bottom face of the prism

Answer:

cuboid is shown in figure having

the plane is MNOP

Answer: 27.509, 27.56, 27.599, 27.5998

Step-by-step explanation:

.74% ar least or else he would crumble

Answer: .74%

Step-by-step explanation: 1-0.26=0.74

Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

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The bag contains 4 cups of bird seeds for the Cougar Scouts.

A fraction is the value of a given number after the decimal point.

There are two types of fraction they are proper fraction and improper fraction in proper fraction numerator is less than the denominator and in improper fraction numerator is greater than the denominator.

According to the given question

The bag of bird seeds are evenly distributed among 16 cougar scouts.

Each scout gets 1/4th cup of bird seeds.

Assuming bird seeds to be x cups

∴ x = (1/4) × 16

  x = 4 cups

So, the amount of birdseed present in the bag is 4 cups.

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The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

Determining the diameter of tin:

Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.

Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.  

Here we have

A ricoffy tin container with no dimensions indicated

Let d and h be the diameter and height of the tin

Given that the container is 2/5 times smaller than d

then the diameter of the tin in the picture \(= d - 2/5(d)\)

\(= [5d - 2d]/5 = 3d/5\)

Therefore, The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

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Answer:

81

Step-by-step explanation:

all sides are equal if square 9 x 9 = 81

Answer:

81m^2

Step-by-step explanation:

Area = length × height

Answer:

i think the fourth one is equvilent ratio

Step-by-step explanation:

Answer:

200 cm

Step-by-step explanation:

2*100= 200

Answer: 200 centimeters

Step-by-step explanation:

100 centimeters = 1 meter

? centimeters = 2 meters

100 x 2 = 200

200/1 = 200 centimeters

The parameters of the exponential function in this problem are given as follows:

The standard format of an exponential function is given as follows:

y = c(1 - a)^t.

This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:

In this problem, the function is given as follows:

f(x) = 1.1(0.44)^x.

Hence the values for the parameters are given as follows:

Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.

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1405 in base 7 = 544 in base 10

What is base-7 number system ?

The heptimal system is another name for base-7 numbers. Base 7 numbers are represented by the digits 0, 1, 2, 3, 4, 5, and 6.

The digits of a Base 10 number, on the other hand, are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. If there isn't a subscript at the supplied number, Base 10 is used to write that number. The decimal system is sometimes known as base-10 numbers. Currently, in daily life, we frequently use numbers in the base 10 range.

base 7 to  base 10 conversion:

Multiply each digits by the powers of 7 as follows:

Base 7 digits:   1         4        0         5

Multiply by:      7^3      7²      7^1      7^0

  ( 1*7^3) + (4*7² ) + (0* 7^1 )+ ( 5 *   7^0)

= 343 + 196 + 0 + 5

= 544

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Answer:

\(2.83*10^{9}\)

Step-by-step explanation:

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P \(e^{rt} }\)

14,000 = 6,400 (\(e^{0.05t}\))

\(e^{0.05t}\) = \(\frac{14000}{6400}\)

\(e^{0.05t}\)  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = \(\frac{0.78}{0.05}\)

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

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Answer:

Statement Reason

1. m∠AOC+m∠COB= 90° 1. complementary angles

2. m∠30° + BOC+m∠BOC=90° 2. Substitution

3. m∠BOC = 30° 3. Algebra

4. m∠AOC = 60° 4. Algebra

I think I got it

Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

Answer:

40%

Step-by-step explanation:

6/15 * 100 = 0.4 * 100 = 40%

Answer:

40% of the pieces of fruit in the Bowl are apples.    

Step-by-step explanation:

Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.

Total number of pieces of fruit  in a bowl = 15 pieces

Number of pieces of apple in a bowl = 6 pieces.

Therefore, 40% of the pieces of fruit in the Bowl are apples.

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.

Given the function g(x) = f(x + 4) + 8, let's examine its features:

Domain:

The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f.  However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.

Range:

Similar to the domain, the range of the function g will depend on the range of the function f.

x-intercept:

The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.

0 = f(x + 4) + 8

By subtracting 8 from both sides:

-8 = f(x + 4)

Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.

y-intercept:

The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:

g(0) = f(0 + 4) + 8

g(0) = f(4) + 8

Again, the specific value of f(4) will depend on the behavior of the function f.

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Answer:

4 vertices.

6 edges.

Step-by-step explanation:

Vertices are the points where the edges meet.

Edges are the lines where the faces meet.

1/25 is the probability that a randomly selected male student plays both basketball and football

Let A be the  Male students who play football

B be Male students who play basketball

We are looking for the probability of P(A ∩ B), which represents the probability that a male student plays both basketball and football.

Using the formula for the probability of the intersection of two events:

P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

First, we need to find the probability of P(A ∪ B), which represents the probability that a male student plays either basketball or football.

Since we know the total number of male students who play either sport (90), we can calculate it as follows:

P(A ∪ B) = Total number of male students who play either basketball or football / Total number of male students

P(A ∪ B) = 90 / 200

P(A ∪ B) = 9/20

Next, we can calculate the probability of P(A) and P(B) individually:

P(A) = Number of male students who play football / Total number of male students

P(A) = 58 / 200

P(A) = 29/100

P(B) = Number of male students who play basketball / Total number of male students

P(B) = 40 / 200

P(B) = 1/5

Now, we can substitute the values into the formula to find P(A ∩ B):

P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

P(A ∩ B) = 29/100 + 1/5 - 9/20

P(A ∩ B) = 29/100 + 20/100 - 45/100

P(A ∩ B) = 4/100

P(A ∩ B) = 1/25

Therefore, the probability that a randomly selected male student plays both basketball and football is 1/25.

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In the figure, the length of any line segment in the image is longer the length of the corresponding line segment in the preimage. The scale factor of the dilation is 2

The scale factor of dilation is defined as the change in size of a figure. Thus, a scale factor that is greater than 1 is referred to as an enlargement while a scale factor that is greater than 0 but less than 1 is referred to as a reduction.

Now, we are told that ΔABC has been dilated from center D to form ΔRST, This means that the lengths in ΔRST are longer than the lengths in ΔABC.

Secondly, by close inspection we can see that it was dilated by a scale factor of 2.

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Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)

\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )

then to find b , using

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )