A ball's position, in meters, as it travels every
second is represented by the position function
s(t) = 2.3t² + 225. What is the velocity of the
ball after 5 seconds?

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

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:

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.

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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GROUP LIKE TERMS TOGETHER.

[tex]3x - 1.79x = 1 - 8 \\ 1.21x = - 7 \\ \frac{1.21x}{1.21} = \frac{ - 7}{1.21 \\ } \\ x = 5.7851239669[/tex]

Answer:

x=[tex]\frac{10}{7}[/tex]

Step-by-step explanation:

8 + 3x = 1 + 7.9x

1. multiply everything by 10 so there is no longer a decimal in the equation

80+30x=10+79x

2. get the x on one side so we -10 and 30x from both side

70=49x

3. divide by 49 on each side as we want to find the value of x

[tex]\frac{70}{49}[/tex]=x

4. the fraction can be simplified to

[tex]\frac{10}{7}[/tex]=x

4. the final answer is

[tex]\frac{10}{7}[/tex]=x

Check the picture below.

Answer:

Step-by-step explanation:

Horizontal line is y = 1

Vertical lone is x = 8.

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:true

Step-by-step explanation:

because the first one

Answer:

Step-by-step explanation:

yes it is

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%

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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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)

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?

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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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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Answer:

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

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 statements that are true are:

3) m∠JKL = 45°

4) m∠MKQ + m∠PKQ = m∠PKM

5) line PK is an angle bisector

1) This statement says that KQ is an angle bisector. This is false because the line KQ does not pass through the diagonal vertex of the right angled symbol at point K.

2) Second statement says that ∠LKQ is bisected. This statement is false because PK is just a perpendicular line to JKM that divides it into 2 equal parts and not a bisector of ∠LKQ

3) The third statement states that m∠JKL = 45°. This statement is true because from the image it is clear that the line KL divides m∠PKJ into two equal parts.

4) Fourth statement says that m∠MKQ + m∠PKQ = m∠PKM. This statement is true. Now, although KQ doesn't bisect m∠PKM into 2 equal parts, nevertheless it divides it into 2 angles namely m∠MKQ and m∠PKQ. This means the sum of m∠MKQ  + m∠PKQ must yield m∠PKM.

5) The fifth statement says that the line PK is an angle bisector. This statement is true because JKM is a straight angle. Thus as PK is perpendicular to it, it has bisected it into two equal parts.

6) The fifth statement says that ∠JKL ≅ ∠QKM. This statement is false because ∠JKL is a bisected angle which is 45° whereas, ∠QKM is not a bisected angle and thus not equal to 45°.

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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 construction of the angle bisector of [tex] \angle ABC[/tex], gives the completed statement as follows;

An angle bisector is the ray or line, dividing an angle into two congruent angles.

The steps required to construct the angle bisector of [tex] \angle ABC[/tex] is presented as follows;

The complete statement is therefore;

To construct the angle bisector of.[tex] \angle ABC [/tex], first set the point of the compass on B and draw an arc through BA and BC

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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

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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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

-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.

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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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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