While the flight some humming birds can flap Thor wings about 500 times in 10 seconds. At this speed how many times might a hummingbird flap it wings in 60 seconds complete the table

The value of  variable x in the equation is 16.

The equation represented as follows:

x + 14 + x³ = 78

The value x is the variable.

A variable is number represented with a letter in an equation.

Therefore,

x + 14 + 3x = 78

subtract 14 from both sides of the equation

x + 3x + 14 - 14 = 78 - 14

x + 3x = 64

Therefore,

4x = 64

divide both sides by 4

4x / 4 = 64 / 4

x = 16

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Answer:

-3

Step-by-step explanation:

[tex] \frac{a - 15}{2 - 0} = \frac{ - 6}{2} = - 3 \\ \frac{3 - 9}{4 - 2} = - 3 \\ \frac{ - 3 - 3}{6 - 4} = - 3 \\ \frac{ - 9 - ( - 3)}{8 - 6} = - 3 \\ so \: slop \: is \: - 3[/tex]

-9

Constants are terms that are only numbers, without any variables.

Terms

First, let's define what a term is. Within a polynomial, a term is an expression that is added to other terms to create a polynomial. It is important to note that terms are always added. So, if there is subtraction, that means one of the terms is negative.

Constants

The easiest way to identify constants is to look for terms without variables. In the polynomial above, the only constant is -9. All of the other terms have x to some power as a factor. Since they have variables, they cannot be a constant.

Numbers cannot be changed; this is why there are called constants. No matter the x-value, -9 will not change.

Answer:

AB = 4.5 cm

Step-by-step explanation:

the total area (A) of the 2 rectangles is calculated as

A = x(x - 4) + 3x(x - 2)

   = x² - 4x + 3x² - 6x

   = 4x² - 10x

Given A = 36 , then equating

4x² - 10x = 36 ( subtract 36 from both sides )

4x² - 10x - 36 = 0 ( divide through by 2 )

2x² - 5x - 18 = 0 ← as required

To factorise the equation

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 18 = - 36 and sum = - 5

the factors are + 4 and - 9

use these factors to split the x- term

2x² + 4x - 9x - 18 = 0 ( factor the first/second and third/fourth terms )

2x(x + 2) - 9(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(2x - 9) = 0

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 9 = 0 ⇒ 2x = 9 ⇒ x = 4.5

but x > 0 , then x = 4.5

Then

AB = x = 4.5 cm

Answer:

AB = 4.5 cm

Step-by-step explanation:

[tex]\boxed{\textsf{Area of a rectange}=\sf width \times length}[/tex]

Area of the smaller rectangle:

[tex]\implies A=x(x-4)[/tex]

[tex]\implies A=x^2-4x[/tex]

Area of the larger rectangle:

[tex]\implies A=(2x+x)(x-2)[/tex]

[tex]\implies A=3x(x-2)[/tex]

[tex]\implies A=3x^2-6x[/tex]

The area of the compound shape is the sum of the areas of the two rectangles:

[tex]\implies A=(x^2-4x)+(3x^2-6x)[/tex]

[tex]\implies A=x^2+3x^2-4x-6x[/tex]

[tex]\implies A=4x^2-10x[/tex]

If the area of the compound shape equals 36 cm² then:

[tex]\implies 36=4x^2-10x[/tex]

[tex]\implies 36-36=4x^2-10x-36[/tex]

[tex]\implies 0=4x^2-10x-36[/tex]

[tex]\implies 4x^2-10x-36=0[/tex]

[tex]\implies \dfrac{4x^2}{2}-\dfrac{10x}{2}-\dfrac{36}{2}=\dfrac{0}{2}[/tex]

[tex]\implies 2x^2-5x-18=0[/tex]

The length of AB is x cm.  

To find the value of x, factor the quadratic.

To factor a quadratic in the form [tex]ax^2+bx+c[/tex] find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

[tex]\implies ac=2 \cdot -18=-36[/tex]

[tex]\implies b=-5[/tex]

Therefore, the two numbers are: -9 and 4.

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies 2x^2-9x+4x-18=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(2x-9)+2(2x-9)=0[/tex]

Factor out the common term (2x - 9):

[tex]\implies (x+2)(2x-9)=0[/tex]

Apply the zero-product property:

[tex](x+2)=0 \implies x=-2[/tex]

[tex](2x-9)=0 \implies x=\dfrac{9}{2}=4.5[/tex]

As length is positive, x = 4.5 only.

Therefore, AB = 4.5 cm.

Using the given information, the value of 6a + 9b is 21 and the value of 3x + 5y is 20

From the question, we are to determine the values of the given expressions.

From the given information,

2a + 3b = 7

and

6x + 10y = 40

To determine the value of 6a + 9b, multiply the first equation by 3.

That is

3 × [ 2a + 3b = 7

6a + 9b = 21

∴ The value of 6a + 9b is 21

To determine the value of 3x + 5y, we will divide the second equation by 2

That is,

6x + 10y = 40 ] ÷ 2

3x + 5y = 20

The value of 3x + 5y is 20

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The mean and the standard deviation for the population of products are 2.0 and 0.3329, respectively.

The mean and standard deviation of the population of products produced by the process are 2.0 and 0.3329, respectively.

Start by determining the population mean which use:

μ = (L +  U)/2

Where:

L = 1.9 and U = 2.1

Put the values;

μ = (1.9 + 2.1)/2

μ = 2.0

When p = 5%, the z value from the probability z table is:

z = -1.645

In addition, the z-score is:

z = (x - μ)/(σ/√n)

Put the values;

-1.645 = (1.9 - 2.0)/(σ/√30)

Simplify the equation.

σ = 0.3329

As a result, the mean and standard deviation again for population of products manufactured by the process are 2.0 and 0.3329, respectively.

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The complete question is-

A production process is checked periodically by a quality control inspector. The inspector selects simple random samples of 30 finished products and computes the sample mean product weights x¯. If test results over a long period of time show that 5% of x¯ the values are over 2.1 pounds and 5% are under 1.9 pounds, what are the mean and the standard deviation for the population of products produced with this process?

Answer:true

Step-by-step explanation:

because the first one

Answer:

Luana is correct

Step-by-step explanation:

Hello!

According to the question, we are supposed to check whether Luana is right

Oops you made a typo

It's supposed to be -x+2 = --10 not -x+2--10

-x+2 = --10

Add values

When, x = 12

-(+12) + 2 = -10

-12 + 2 = -10

Calculate

-10 = -10

She is correct

When solving

−x+2=−10

Step 1: Subtract 2 from both sides.

−x+2−2=−10−2

−x=−12

Step 2: Divide both sides by -1.

−x/−1 = −12/−1

x=12

So, she's correct

Answer:

a = 240

b = 336

Step-by-step explanation:

To find LCM of 2 number:

To find HCF of 2 numbers:

In this question LCM and HCF is already given but the numbers a and B are unknown.

To find a and B we do the opposite.

Further explanation is in the attached file please open as you will get a clear understanding of the answer.

Answer: I think that FG and MB are parellel, but I think the way to confirm is to measure with a ruler

Step-by-step explanation:

The correct description of domain and range for the weight of aeroplane are-

For the given question, the values are-

Function W = 5F + 4000

Full amount of fuel = 200 gallons

No amount of fuel = 0 gallons

Domain : amount of fuel = [0 , 200]

Now, calculate for the range.

If F = 0

W = 5F + 4,000

W = 5(0) + 4,000

W = 4,000

If F = 200

W = 6F + 4,000

W = 6(200) + 4,000

W = 5,200

Range of weight = [4,000 , 5,200]

Thus, the value of range for the total weight of the aeroplane is  [4,000 , 5,200].

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Answer:

56.25

Step-by-step explanation:

We know that, Volume of the cuboid = l × b × h

= 60 cm × 54 cm × 30 cm

= 97200 cm³

Side of the cube = 12 cm

The volume of the cube = side³

= 12³

= 1728 cm³

Required number of cubes = volume of cuboid/volume of the cube

= 97200 / 1728

= 56.25

Thus, 56.25 cubes can be placed in the given cuboid.

The number of possible additional miles that he needs to run will be 18.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Dante will run at least 33 miles this week. So far, he has run 15 miles.

Then the number of possible additional miles that he needs to run.

Let t be the number of additional miles he will run. Then the inequality is given as,

15 + y ≤ 33

y ≤ 33 - 15

y ≤ 18

The number of possible additional miles that he needs to run will be 18.

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The average for the first full season when Stephen hit the ball is 0.60.

The average for the first full season can be determined by adding the number of time he hit the ball in the first half and the second half of the season together and then dividing it by the total number of bats.

Average is a measure of central tendency. Average is also known as mean. Other measures of central tendency are mode and median.

Average = sum of the times he hit the ball / total number of bats

(12 + 6) / (16 + 14)

18 / 30 = 0.60

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Answer:

50miles an hour

Step-by-step explanation:

50miles an hour because R = d/t so 500 / 10 is 50

so rate is 50/hour

Answer:

See below:

Explanation:

1.7 dm =  .17 m     assuming  dm is decimeter

.17m  * 10^7  scale  = 1.7 x 10^6 m  = 1.7 x 10^3 km  = 1700 km

The linear equation where m = -4 and passes through (5,9) is y =  - 4x + 29

Linear Equation = an equation between two variables that gives a straight line when plotted on a graph is known as linear equation.

For this statement we need to use the point slope form of linear equation.

The equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line — compare slope-intercept form is known as point slope form.

Using point slope form,

y - y1 = m (x - x1)

y - 9 = -4 (x - 5)

y - 9 = -4x + 20

y = -4x + 20 + 9

y = -4x + 29

Therefore, where m = -4 and passes through (5,9) the linear equation will be y = -4x + 29

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Answer:

Step-by-step explanation:

yes it is

a)Midpoints are (-6.5,-4).

b)Midpoints are (-6.5,-4).

In geometry, a line segment's midpoint is referred to as the midpoint. It serves as both the segment's and the ends' centroid, and it is equally spaced from both. The portion is halved by it. The midpoint formula is employed when it is important to pinpoint the exact intersection of two given points. The point that splits a line segment described by two points in half can thus be found using this method. The halfway is the precise numerical intersection of two integers. The two-number average computation and the midpoint calculation are equivalent. Consequently, you may get the halfway point between any two integers by adding any two numbers together and dividing by two.

Given Data

Mid point formula = [tex]\frac{x+x}{2}[/tex]¹ , [tex]\frac{y+y}{2}[/tex]¹

a) (2,-1) (-8,6)

Equating values in formula,

[tex]\frac{2-8}{2}[/tex] , [tex]\frac{-1+6}{2}[/tex]

(-4,2.5)

Midpoints are (-4,2.5)

b) (-8,-9) (-5,1)

Equating,

[tex]\frac{-8-5}{2}[/tex] , [tex]\frac{-9+1}{2}[/tex]

[tex]\frac{-13}{2}[/tex] , [tex]\frac{-8}{2}[/tex]

(-6.5,-4)

Midpoints are (-6.5,-4).

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The player has a 0.293 percent probability of getting the subsequent number of hits in the subsequent four at-bats.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

In light of the information provided,

designate X as the random variable indicating the player's hit total during his subsequent four at-bats.

Assume that the player hits or misses on each of the following four at-bats in a random order. Consider it a success if the player gets a hit as well.

The probability of "success" is because of the batting average, which is 0.330.

In this case, x can be thought of as the overall success rate across the four at-bats. Inferring that X has a binomial distribution with p=0.330 as its parameters

n=4 p=0.330

Since p denotes the probability of success, the probability of failure is

q=1-0.330

=670

The probability mass function of x here is

f(x)={(4 0)*(0.330)ˣ (0.670)⁽⁴⁻ˣ⁾

The probability that the player will get exactly 2 hits, that is,  is calculated below:

P(2)=F(2)={(4+2)*(0.330)² (0.670)²

              =6[0.04888]

                =0.29328

Thus, the probability that the player will get exactly 2 hits is 0.239.

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The graph plotted represents a discrete data

The domain of the function is -2 ≤ x ≤ 2

The range of the function is 1 ≤ y ≤ 5

The graph plotted is represent circle functions

This is a term used to represent data that can be estimated by counting. The circle graph is an instance of methods of representing discrete data.

The term domain refers to the input variables on a graph, the domain is usually plotted on the x axis.

Range is a term that describes the output functions and are usually plotted on the y axis.

The function plotted is a circle with a radius of 2 units.

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Answer

There are 36 combinations and 181440 permutations

Explanation

The number of combinations of n object taking r at a time is given by the formula;

From the question, n = 9 and r = 7, then substitute these values into the formula

The number of permutations of n object taking r at a time is given by the formula;

Also, n = 9 and r = 7, then substitute these values into the formula to get the number of permutations

Therefore, there are 36 combinations and 181440 permutations

Check the picture below.

Answer:

Step-by-step explanation:

Horizontal line is y = 1

Vertical lone is x = 8.

Answer:

m=y2-y1/x2-X1 so the slope is equal to -3

Answer:

D. reflection over the y-axis.

Step-by-step explanation:

Reflections are the samere same shapes, but mirrored and over a certain axis (x or y axis). In this case, we see a reflection over the y-axis.

The two factors means that the two value will equate with zero

A) 2x-6

They can be aslo simplified as :

2x-6=0

2x=6

x=3

Thus they gave only one values and cannot be expressed as the factors of two product

B) 2x+6

In this expression

we can simplify as :

2x+6

2x+6=0

2x=-6

x=-3

Thus , they are also not expressed as the factors of the two product

C) 2(x+6)

In this expression

we can simplify as :

2x+12

2x+12=0

2x=-12

x=-6

Thus , they are also not expressed as the factors of the two product

D) (2+x)÷(6+x)

They can express as fraction

Thus, They express as the product of the tewo factors

Answer : D) (2+x)÷(6+x)

Answer:

9%

Step-by-step explanation:

So first we need to find how much interest he got in a single year.

3600 ÷ 5 = 720

Now we find out how much 720 is compared to 8000.

720 ÷ 8000 = 0.09

Then we make that a percentage:

9%