Find the sum:
1. 23.456 + 3.0034

Answer:

3o  + 2a = $45 ( you can buy 9 oranges and 9 apples)

Step-by-step explanation:

First I divided 45 by 3 and I got 15 so now I know that 15 is the highest amount of oranges I can buy without going over $45. I also know that 15 cannot be an answer because I also have to buy apples.

Then I divided 45 by 2 and 22 was the highest whole number.

Now I would play trial and error BUT i know that the number for oranges have to be less that 15 and the number for apples has to be less than 22.

3 times 9 equals 27 (oranges)

45 - 27 = 18

2 times 9 equals 18 (apples)

3o+2a =$45 is the  equation in standard form modeling this situation.

Two or more expressions with an Equal sign is called as Equation.

Given that in a supermarket, each orange costs $3, and each apple costs $2.

Let o represents the number of oranges you buy

and a represent the number of apples you buy.

If you want to spend exactly $45

We have to find the equation to model this situation

3o+2a =$45

Hence, 3o+2a =$45 is the  equation in standard form modeling this situation.

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Answer:

A) (a+2)(a-2)

Step-by-step explanation:

The answer is A.

The value of the equation that defines the function is f(x) = 3(5/3)ˣ

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

(0, 3) and (1, 5)

An exponential function is represented s

y = abˣ

Where,

a = y when x = 0

So, we have

y = 3bˣ

Using the other point, we have

3b = 5

This gives

b = 5/3

So, we have

f(x) = 3(5/3)ˣ

Hence, the equation defining f is f(x) = 3(5/3)ˣ

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Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The rate of change in the temperature during the first 45 seconds is

3.67 degrees Fahrenheit per second

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The following coordinates from the graph as,

(15, 80) and (45, 130)

15 and 45 are the seconds.

80 and 130 are the temperatures.

Now,

The rate of change in the temperature during the first 45 seconds.

= (130 - 80) / (45 - 15)

= 50/30

= 5/3

= 3.67 degrees Fahrenheit per second

Thus,

The rate of change in the temperature during the first 45 seconds is

3.67 degrees Fahrenheit per second

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Answer:

12ft

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The equation of any circle is 2πr or 2(3.14)1 in this question.

So 2x3.14= 6.28x1=6.28

Answer:

False

Step-by-step explanation:

C = 2πr so radius of 1 would give a circumference of 2π or 6.28

Answer:

x=5

Step-by-step explanation

Move all terms containing  x  to the left side of the equation.

4x-8=12

Move all terms not containing  x  to the right side of the equation.

4x=20

Divide each term by  4  and simplify.

x=5

The unknown angle measures are d = 76, c = 53, a = 51 and b = 76

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

The lines

The sum of angles on a line is 180

So, we have

b = 180 - 51 - 53

b = 76

By vertical angle theorems, we have

d = 76

c = 53

a = 51

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A view which Felix can use to construct the same figure include the following: A. a bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube.

In Mathematics and Geometry, an isometric sketch is sometimes referred to as an isometric drawing and it can be defined as a graphical (pictorial) representation of a physical object or geometric shape in technical and engineering drawings, especially by drawing all its three dimensions (3D) at full scale;

In this context, we can reasonably infer and logically deduce that the front view is a view which Felix can use to construct the same three-dimensional figure because its orientation influences the other views.

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Well you better go and refer to a textbook and have guidance by teachers, parents, and/or siblings.

Mathematics is such a broad topic, that there is no way that it can be described here - it will take you forever to read (yet understand in your case).

We need to convert 45 miles per hour to kilometers per minute

So, we should know that :

1 mile = 1.6 km

1 hour = 60 minutes

so,

so, 45 miles per hour = 45 * 2/75 km per minutes = 1.2 km per minutes

Answer:When you draft a budget, you should include an _________________. This is extra money set aside to be used for unpredictable expenses, such as medical bills and vehicle repairs

Step-by-step explanation:

Answer:

4/3 square feet.

Step-by-step explanation:

To find the area of the replica, you need to use a formula that relates the area of the original figure and the area of the dilated figure by the scale factor1. The formula is:

Area of dilated figure = Area of original figure x (Scale factor)^2

In this case, the area of the original artwork is 12 square feet and the scale factor is 1/3. So, we plug these values into the formula and get:

Area of replica = 12 x (1/3)^2

Area of replica = 12 x 1/9

Area of replica = 4/3

So, the area of the replica is 4/3 square feet.

Hope this helps :)

Step-by-step explanation:

\( \sqrt{a^{2} + a^{2} } = 10 \sqrt{2} \: in\)

\(2a ^{2} = 200 \: in^{2} \)

\( {a}^{2} = 100 \: in ^{2} \)

Answer:

8700kg

Step-by-step explanation:

b = mass of bricks

l = mass of lorry

b+l = total mass = 11600kg

b = 3l  ==>  l = b/3

substitute: b + b/3 = 11600

multiply every term by 3 to get rid of denominator: 3b + b = 34800

simplify and solve:  4b = 34800  ==>  b = 8700

check:  l = 8700/3 = 2900

2900 + 8700 = 11600?  YES

Answer:

50 cycles

Step-by-step explanation:

To find this out, we need to know how many cycles he sells a day. So as given he sells 5 cycles in 2 days, so what is half of five? While 2.5 cycles wouldn't make sense, lets use the variable to see what our answer would be approximately.

2.5 cycles x 20 days = 50 cycles.

So, in 20 days Josh would sell 50 cycles.

Answer:

50 cycles will be sold in 20 days

Step-by-step explanation:

2 days⇒5 cycles

1 day⇒5 divided by 2 days

20 days⇒5 cycles multiplied by 20 days divided by 2 days then the final answer is 50 cycles.

Answer:

The correct answer is:

Option A: A 10x — 15000 ≥ 50000

Step-by-step explanation:

Given that the total cost of manufacturing by the company is $15000.

Let x be the number of gallons the company sells.

It is also mentioned that the company earns $10 on each gallon.

So the total profit will be the the difference of the selling cost of gallons and manufacturing cost

Mathematically,

\(10x-15000\)

Now it is mentioned that the profit should be at least 50000 dollars which means the profit can be minimally 50000 and also can be greater than it so

\(10x-15000 \geq 50000\)

The number of gallons can be found by solving the obtained inequality.

Hence,

The correct answer is:

Option A: A 10x — 15000 ≥ 50000

Total change in temperature

Percentage:-

\(\\ \sf\longmapsto \dfrac{\Delta T}{t_i}\times 100\)

\(\\ \sf\longmapsto \dfrac{40}{90}\times 100\)

\(\\ \sf\longmapsto \dfrac{400}{9}\)

\(\\ \sf\longmapsto 44.4\%\)

b1-h3, b2-h2, b3-h3.

Step-by-step explanation:

See the image.

Hope that helps! :)

(Can you please mark me as brainliest?)

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The sample size is \(n =944\)

b

The sample size is \(n_b = 1068\)

Step-by-step explanation:

From  the question we are told that

   The proportion is mathematically represented as  \(\r p = 0.33\)

    The marginal error is  \(e = 0.03\)

     The confidence level is  95 %  = 0.95

The z-value of the confidence level is

         \(z_c = 1.96\)

This value is obtained from the z table

     The sample size is mathematically evaluated as

            \(n = [\frac{z_c}{e} ]^2 * \r p(1- \r p)\)

substituting values

             \(n = [\frac{1.96}{0.03} ]^2 * 0.33 (1- 0.33)\)

             \(n =944\)

If no estimate is available the let assume  \(\r p = 0.50\)

     So  

              \(n_b = [\frac{z_c}{e} ]^2 * \r p(1- \r p)\)

substituting values

              \(n_b = [\frac{1.96}{0.03} ]^2 * 0.50 (1- 0.50)\)    

               \(n_b = 1068\)

There are 36 cards in the deck of cards that are either black or even number .

A deck of cards consists of 52 cards equally divided into 4 suits: clubs , hearts , spades and diamond.

Now even numbers are numbers that can be divided by 2 completely .

So according to the given statement:

number of black cards = 13 spades + 13 clubs = 26 cards

even number cards ={2 ,4 ,6 , 8,10} = 5 cards in each suit

Therefore in the hearts and diamonds there are 5 × 2 =10 cards.

Therefore the total number of cards that are black or even is :

26 + 10 = 36

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Answer:

\(x^2+y^2+z^2-18x-4y+2z-21=0\)

Step-by-step explanation:

From the question we are told that:

Diameters has endpoints: \((-14. -3, -6) & (-4, 7, 4)\)

Generally the equation for Center of The sphere is mathematically given by

 \(C=(\frac{-14+(-4)}{2},\frac{-3+(7)}{2},\frac{-6+(4)}{2})\)

 \(C=(9,2,-1)\)

Generally the equation for Radius of the sphere is mathematically given by

 \(R=\sqrt{(9-2)^2+(2-9)^2+(-1-2)^2}\)

 \(R=\sqrt{107}\)

Therefore the Equation of the Sphere is

 \((x-9)^2+(y-2)^2+(z+1)^2=107\)

 \((x^2-18x+81)+(y^2-4y+4+(z^2+2z+1))=107\)

 \(x^2+y^2+z^2-18x-4y+2z-21=0\)

The two figures show equivalent graphs because:

A. The graphs have several edges that match the number of vertices.

B. The graphs have the same number of edges.

C. The vertices are connected in the same way.

D. The graphs have the same number of vertices.

The third equivalent graph is at option D.

The graphs that have the same number of vertices connected in the same way are called equivalent graphs. If they are connected in the same way then their count of edges will be the same for both graphs. They are also said to be isomorphic graphs.

The given graphs have
Graph1: vertices BCJK

Graph2: vertices BCJK

So, there is the same number of vertices for both graphs.

The connection between the vertices:

Graph1: J - B - C - K - B

Graph2: J - B - C - K - B

So, they are connected in the same way.

The edges formed by these vertices:

Graph1: JB; BC; CK; KB

Graph2: JB; BC; CK; KB

So, there is the same number of edges for both graphs.

Here the number of edges = the number of vertices i.e., (4 = 4)

From all these comparisons, the given graphs are equivalent.

The third equivalent graph made from these graphs is at option D in the diagram attached below.

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Disclaimer: The given question is incomplete. There is no image attached in the given question. Here the image is attached.

Answer:

3/4

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

3/4

Check with the third and second terms

9/4 ÷3

9/4 *1/3= 3/4

The common ratio is 3/4

Answer:

C

Step-by-step explanation:

All sides make a cube

Answer:

D

Step-by-step explanation:

The likelihood that he or she has a pet given that a student does not have a sibling is 60%. Therefore, the correct option is option D.

Let A denote the event that a student does not have a sibling.

Let B denote the event that a student has a pet.

Then A∩B will denote the event that the student does not have a sibling but he has a pet.

Let P denote the probability of an event in this question.

Then, we have to find the conditional probability of event B which means the likelihood of event B occurring based on the occurrence of event A.

P(B|A)

We know that:

\(P(B|A) = \frac{P(A\cap B)}{P(A)}\)

Also from the table, we have:

P(A)=0.25

and P(A∩B)=0.15

Hence,

\(P(B|A) = \frac{0.15}{0.25}\)

\(P(B|A) = \frac{3}{5}\)

\(P(B|A) = 0.6\)

which in percentage is:

0.6 * 100 = 60 %

Therefore, the likelihood that he or she has a pet too is 60% and the correct option is option D.

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Answer:

d. 0.303

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.

Distribution of the difference between Sean's and Evan's income:

Sean has mean 225, Evan 240. So

\(\mu = 225 - 240 = -15\)

Sean's standard deviation is of 25, Evan's of 15. So

\(\sigma = \sqrt{25^2+15^2} = 29.15\)

Probability that Sean will have a greater income than Evan in a randomly selected week:

Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{0 - (-15)}{29.15}\)

\(Z = 0.51\)

\(Z = 0.51\) has a pvalue of 0.695

1 - 0.695 = 0.305.

Closest to 0.303, option d.

2/8

If you are thinkinking logically, however, it's 50/50 since it's either you get them or not

Answer:he has a 75% chance of getting a piece without olives

Step-by-step explanation: