The difference between the squares of two numbers is 35. Twice the square of
the first number increased by the square of the second number is 73. Find the
numbers.

Answers

Answer 1

Answer:

Los números son

7 y 8

Explicación paso a paso:

Si el número menor es "x"  , el mayor es "x + 1"

entonces

( x + 1 )² - x² = 15

x² + 2x + 1 -x² = 15

2x + 1 = 15

2x = 15 - 1

2x = 14

x = 14/2

x = 7  (  número menor )

x + 1  = 7 + 1

x + 1 = 8 ( número mayor )


Related Questions

Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

Answers

Answer:

The probability to one person to be a dog owner is p=0.56 (because 56% of people own dogs) and the probability that one person is not dog owner is q=1-p=1-0.56=0.44.

Step-by-step explanation:

Choosing two people at random, there are such possibilities:

1. both are dog owners;

2. first owns a dog, second not;

3. first hasn't dog, second owns a dog;

4. both haven't dogs.

Answer: if you pick two people at random the probability that they both own a dog is 0.3136.

Hope this helps! :))

The Probability that they both own a dog is 0.3025.

Here,

55% of people own dogs.

If pick two people at random,

Then we have to find the probability that they both own a dog.

What is Probability?

Probability is defined as the likelihood of something occurring or the chance of something happening.

Now,

55% of people own dogs.

Hence, the probability that they both own a dog = 55% * 55%

                                                                          = 0.55 * 0.55

                                                                          = 0.3025

So, The probability that they both own a dog is 0.3025.

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A drink is made by adding water to juice.
Rana has 120ml of juice.
She adds some water.
She has now made 450ml of the drink.
Has Rana followed the instructions?

Answers

Answer:yes

Step-by-step explanation:

As the Amount is unknown Hence X = Any amount Unless the water amount is given the instructions is yes as she added 120ML Of juice into water which is currently X

What is the volume of a cylinder with base radius 2 and height 5?
Either enter an exact answer in terms of 3.14 for pi

Answers

Answer:

V ≈ 62.83

Step-by-step explanation:

Cylinder Formulas in terms of r and h

Calculate the volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside):

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Solution

V=πr 2h = π · 22 · 5 ≈ 62.83185

Therefore, the volume of the cylinder in the nearest tenths is V ≈ 62.83

¡4 = -1
O True
False

Answers

Answer:

Apparently that's false because 4 does not equal -1, 4 is totally 10 times greater than -1

Hopefully that helps

Step-by-step explanation:

the equation p=52+0.04w models relation between the amount of water bill payment p in dollars and the number of units of water w in slope of equation

Answers

The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

Step-by-step explanation:

Answer:

the size of the matrix 2x3

Step-by-step explanation:

just remember that rows are horizontal and columns are vertical hope this helps you out



Someone actually help me w this ☝

Answers

Answer

Sorry If this is not correct, but I believe you keep the X varriable the same and multiply the Y varriable by 4. This means it will move to the right on the grid.

New coordinates: G(3,4) T(1,4) B(3, 20)

Valentina buys a chandelier priced at $713. If the sales tax is 4%, how
much tax will
Valentina pay?​

Answers

Answer:

$741.52 TRUSTTT

Step-by-step explanation:

Answer:

x + (tax percent out of 100)*x, which is 748.65.

What type of triangle is this if lengths of its sides are 37m, 24m, and 5m *​

Answers

Answer:

weird triangle

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

Scalene triangle: If the length of all the sides of triangle have  different measurements then it is scalene triangle

A rectangular billboard for a high school is 10 feet high and 20 feet long. In a scale model of the school, the billboard is 3.5 inches long.
How many inches tall is the scale model? ​

Answers

Answer:

I think 1.75

Step-by-step explanation:

the long side is two times the amount of the tall side so take the smaller long side and divide by two.

Hey I need help .. again we’re doing log lines

Answers

Answer:

Step-by-step explanation:

An introductory psychology class has 9 freshman males, 15 freshman females, 8 sophomore males, and 12 sophomore females. A random sample of n = 2 students is selected from the class. If the first student in the sample is a male, what is the probability that the second student will also be a male?

Answers

Answer

16/43

Step-by-step explanation:

17 Male + 27 female = 44 students

now n= 2 so first student was male so one male student was taken out of the equation so 16 male left. now left male students by remaining students  so now total left students = 43

so, prob = remaining males/remaining students=16/43

Where do I put the parentheses in 15-3x4+9=12

Answers

Answer:

That depends on which operations you want to do first. The order of operations affect to outcome of the equation.

In this case:

15 - (3 x 4) + 9 = 12

Answer:

It varies but this is one example

15 - (3 x 4) + 9 = 12

plz mark as brainliest

convert 2x + y = -1 to slope intercept form

Answers

Answer:

y=-2x-1

Step-by-step explanation:

Your goal from Standard form to slope intercept form is to have the x on the right side of the equal sign. All you have to do is subtract 2x from both sides and you end up with y= -2x-1

Please help me if you can!

Answers

Mrs. Duran had $665 at the end of the day

The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with Sigma = 0.200 kg. Let µ denote the true average weight reading on the scale.

Required:
a. What hypotheses should be tested?
b. With the sample mean itself as the test statistic, what is the P-value?

Answers

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

[tex]$H_0 : \mu = 13 $[/tex]

[tex]$H_a : \mu \neq 13$[/tex]

b). When the value of [tex]$\overline x = 12.84$[/tex]

 Test statics :

   [tex]$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $[/tex]

  [tex]$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $[/tex]

          [tex]$=\frac{1.82}{0.04}$[/tex]

          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

What is the area of this figure? I give brainliest :)

Answers

Answer:

[tex] 217 \: {mi}^{2} [/tex]

Step-by-step explanation:

Area of the figure

[tex]= 13*7 + 21 * 6 \\ = 91 +12 6 \\ = 217 \: {mi}^{2} [/tex]

"Jonas prepared himself to walk to the stage when the applause ended and the Chief Elder picked up the next folder and looked down to the group to call forward the next new Twelve. He was calm now that his turn had come. He took a deep breath and smoothed his hair with his hand." - The Giver *

1st person
2nd person
3rd person objective
3rd person limited
3rd person omniscient

Answers

Answer:

3rd limited

Step-by-step explanation:

What is y if x=6 eqaution=y=4x+5​

Answers

y=29 ! hope this helps

8. How tall is a stack of 26 coins each 0.03 m thick? ​

Answers

Answer:

0.78

Step-by-step explanation:

0.03*26=0.78 simple math lol

Box A contained 40 paperclips. Box B contained 23 paperclips. After Sally took an equal number of paperclips from each box, Box A then contained twice as many paperclips as Box B. How many paperclips did Sally take from each box?

Answers

Answer:

Step-by-step explanation:

Number of clips in box A = 40

Number of clips in box B = 23

If Sally took out 6 clips from each box

Remaining clips in box A = 40 - 6 = 34 which is twice of 17

Remaining clips in box B = 23 - 6 = 17

Answer:

Sally took 6 paperclips from each box

Step-by-step explanation:

Paper clips in Box A = 40

Paper clips in Box B  = 23

Let the equal number paperclips removed from each box = x

Number of clips in box A after taking 'x' clips = 40 -x

Number of clips in box B after taking 'x' clips = 23 -x

40 - x = 2*(23 -x)

40 - x = 2*23 - 2*x

40 -x = 46 - 2x  {Add 2x to both sides}

40 - x + 2x = 46          {Combine like terms}

40 + x = 46         {Subtract 40 form both sides }

x = 46 - 40

x = 6

Sally took 6 paperclips from each box

A cone has the same radius and height as a cylinder which has greater volume the cone or the cylinder

Answers

Answer:

The cylinder has the great volume

Step-by-step explanation:

The volume of a cone = (h/3)πr²

The volume of a cylinder = hπr²

The only difference is that h is divided by 3 for the volume of a cone, making the total volume of a cone smaller than the volume of a cylinder with the same radius and height.

Can someone help me with this?

Answers

9514 1404 393

Answer:

  π/4, 7π/4

Step-by-step explanation:

Adding √2 and dividing by 2 makes the equation ...

  cos(θ) = (√2)/2

The first-quadrant solution is ...

  θ = arccos((√2)/2) = π/4

The angle in the 4th quadrant with the same reference angle will have the same cosine value.

  θ = 2π -π/4 = 7π/4

The two solutions are θ = π/4, 7π/4.

Zachary's rectangle measures 4 1 /4 units by 4 1 /4 units. What is its area?

Answers

Answer:

169/12 square units.

Step-by-step explanation:

NO LINKS!! URGENT HELP PLEASE!!!

Determine if the scenario involves mutually exclusive events.

32. A cooler contains 12 bottles of sports drinks: 4 lemon-lime flavored, 3 orange-flavored, and 5 fruit-punch flavored. You grab a bottle. It is a lemon-lime or an orange.

33. Find the 5 number summary (Min, Q1, Median, Q3, Max) for the following data and draw a box and whisker graph.

18, 24, 28, 28, 36, 44, 50, 67

Answers

Answer:

32)  7/12 ≈ 58.3%

33)  Min = 18
       Q1 = 26
       Median = 32
       Q3 = 47
       Max = 67

Step-by-step explanation:

Question 32

To determine the probability of grabbing a lemon-lime or an orange-flavored bottle from the cooler, we need to calculate the number of favorable outcomes and the total number of possible outcomes.

In the given scenario, there are 4 lemon-lime flavored bottles and 3 orange-flavored bottles in the cooler, plus 5 fruit-punch flavored bottles. Therefore:

Number of favorable outcomes = 4 + 3 = 7Total number of bottles = 4 + 3 + 5 = 12

The probability of grabbing a lemon-lime or an orange-flavored bottle is:

[tex]\begin{aligned}\sf Probability &= \sf \dfrac{Favorable\;outcomes}{Total\; outcomes}\\\\&=\dfrac{7}{12}\\\\& \approx 58.3\%\end{aligned}[/tex]

[tex]\hrulefill[/tex]

Question 33

The five-number summary is a statistical summary of a dataset that includes the minimum and maximum values, the median (middle value), and the first and third quartiles. It provides a concise overview of the distribution and central tendency of the data.

First, sort the given data in ascending order (this has already been done for us):

18, 24, 28, 28, 36, 44, 50, 67

Minimum value

The minimum value is the smallest value in the data set.

[tex]\boxed{\sf Minimum \; value = 18}[/tex]

Median

The median is the middle value of the sorted data.

In this case, we have 8 data points, so the median is the average of the two middle values:

[tex]\boxed{\sf Median\;(Q_2)=\dfrac{28+36}{2}=32}[/tex]

First Quartile (Q₁)

The first quartile is the median of the lower half of the data.

In this case, we have 4 data points in the lower half (18, 24, 28, 28), so the median is the average of the two middle values:

[tex]\boxed{\sf First \;Quartile\;(Q_1)=\dfrac{24+28}{2}=26}[/tex]

Third Quartile (Q₁)

The third quartile is the median of the upper half of the data.

In this case, we have 4 data points in the upper half (36, 44, 50, 67), so the median is the average of the two middle values:

[tex]\boxed{\sf Third\;Quartile\;(Q_3)=\dfrac{44+50}{2}=47}[/tex]

Maximum value

The maximum value is the largest value in the data set.

[tex]\boxed{\sf Maximum\; value = 67}[/tex]

Therefore, the five-number summary for the given data set is:

Min = 18Q₁ = 26Median = 32Q₃ = 47Max = 67

To construct the box and whisker graph (attached):

Draw a box from the lower quartile (26) to the upper quartile (47).Add the median (32) as a vertical line through the box.The whiskers are horizontal lines from each quartile to the minimum (18) and maximum values (67).

The events are mutually exclusive because a bottle cannot be both lemon-lime and orange-flavored simultaneously , the scenario involves mutually exclusive events.

The five-number summary is as follows:

Minimum: 18

Q1: 26

Median: 36

Q3: 47

Maximum: 67

The scenario states that there are 12 bottles of sports drinks in a cooler: 4 lemon-lime flavored, 3 orange-flavored, and 5 fruit-punch flavored. You grab a bottle, and it is either lemon-lime or orange flavored. To determine if this scenario involves mutually exclusive events, we need to assess whether the two events (grabbing a lemon-lime flavored bottle and grabbing an orange-flavored bottle) can occur at the same time or not.

In this case, the events are mutually exclusive because a bottle cannot be both lemon-lime and orange-flavored simultaneously. Therefore, the scenario involves mutually exclusive events.

To find the five-number summary (minimum, first quartile, median, third quartile, and maximum) for the given data and draw a box and whisker plot, we need to arrange the data in ascending order first:

18, 24, 28, 28, 36, 44, 50, 67

Arranging the data in ascending order: 18, 24, 28, 28, 36, 44, 50, 67

The minimum value is 18.

The first quartile (Q1) is the median of the lower half of the data: (24 + 28) / 2 = 26.

The median is the middle value of the data set: 36.

The third quartile (Q3) is the median of the upper half of the data: (44 + 50) / 2 = 47.

The maximum value is 67.

The five-number summary is as follows:

Minimum: 18

Q1: 26

Median: 36

Q3: 47

Maximum: 67

To draw a box and whisker plot, you can use the five-number summary to create a visual representation of the data distribution. However, since I can't draw graphs here, you can create a box and whisker plot yourself. Draw a number line and place a box that spans from Q1 to Q3, with a line inside representing the median. Add "whiskers" extending from the box to the minimum and maximum values.

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Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!

Answers

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{48} \\\\4\sqrt{3}[/tex]

Answer:

the second option is correct

Step-by-step explanation:

Write a jingle to advertise
favorite dessert to the tune of
"Twinkle, Twinkle Little Star."
What is so special about this
dessert? How can you describe it
in a memorable, catchy way?

Y’all someone help no link ,will be reported

Answers

My Jingle:

Ice cream cake - oh, ice cream cake...

How I love the way you taste...

You melt in my mouth with every bite...

Dreams of you keep me up at night...

Ice cream cake - oh, ice cream cake...

How I love the way you taste.

I hope you like it!

Witch is larger? 1/3 or 3/9

Answers

1/3 give me branliesttt

Answer:

they are equal

Step-by-step explanation:

1/3 to a decimal is 0.333

3/9 is 0.333

so they are the same the person above me is wrong

Find the area of the regular octagon with radius of 14
feet.


Answers

Answer:

uhm- ok ok ok level hard o my gosh


Please help ASAP please help

Answers

Answer:

64

Step-by-step explanation:

8x4 is 32 multiplied by 2 is 64

V=LxWxH

(length x Width x Height)

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The area of the motor cortex that is devoted to a particular region of the body is relative to theA. size of the body area.B. distance of the body area from the brain.C. number of motor units in the area of the body.D. number of sensory receptors in the area of the body.E. size of the nerves that serve the area of the body. Jordan runs to the end of his street and back home every day. The total distance of a trip to the end of the street and back home is 7/8 mile.How many miles has Jordan run after 6 days? Which is FALSE about Repetitive Focus processa.They are best process for low-volume production of variety of itemsb.They are generally used to manufacture products like cars, tvs, or computersc.They usually use module to produce final productsd.Repetitive processes are very flexible to accommodate changes in producteasily Find the center and radius of the circle: x^2 + y^2 + 4x + 14y +52 = 0 Which of the following inferences about Rosa Parks is best supported by the passage below? 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To prove this, let facts be submitted to a candid world. the force on a loop of wire in a magnetic field shown in the figure can be used to measure the field strength. the field is uniform, and the plane of the loop is perpendicular to the field. 4. The barred owl has been moving into the habitat of the spotted owl. This could lead to a reduction inthe spotted owl population if theO two owl species cannot interbreed,barred owl is better adapted to habitat changes,O barred owl is a secondary consumerO spotted owl is dependent on local producers,4th For each term in the first column, find the closest definition (or portion of a definition) in the second column. Each definition may be used only once or not at all.Terma. Compensating controlb. Complementary controlc. Corrective controld. Deficiency in internal controle. Material weakness in internal controlf. Walk-throughg. Transaction cycle External and Internal Conflict in ACROSS THE NIGHTINGALE FLOORFor this response, you will analyze two primary conflicts that drive the plot of your novel. First, choose ONE internal and ONE external conflict.For each conflict, label it as Man v. [?]. Then, explain who is involved, how the conflict begins, the events the conflict leads to, the impact on other characters, and how the conflict contributes to your understanding of the novels message and/or characters.Example:Novel Title: Fahrenheit 451Internal ConflictMontags internal conflict is the struggle with his newfound realizations about his life, that his life and society are not what he thought they were. This Man v. Self conflict drives the entire novel. The conflict begins when Montag meets Clarisse because When he encounters the woman who dies with her books, this reinforces his struggle because This internal conflict leads to and impacts Montags marriage, his friendship with Faber, and because Ultimately, we see Montag pursue ... , which contributes to the authors message of because ... At the end of the novel, Montag is not fully reformed but is ...External and Internal Conflict in ACROSS THE NIGHTINGALE FLOOR How many moles of magnesium nitrate are produced when he reacts 0.34 moles of nitric acid with excess magnesium? is the expression 3^2 ^3 equivalent to 3^3 ^2explain. After the Egyptians crushed cut cane and captured the juice, they boiled and strained the liquid, let it settle, then strained it again. The cane juice was now poured into molds with holes in the bottom, so that all the liquid could drain out, leaving only a powder. That powder was then mixed with milk and boiled again. After one round of these steps, the process was repeated all over again. As a result of all this effort and care, Egypt was known for the whitest and purest sugar.How do the details in the passage support the central idea?A. The details compare the Egyptian process of refining sugar to processes used by other people.B. The details explain how Egyptians created the process to refine white sugar.C. The details clarify the simplistic approach that Egyptians used to refine white sugar.D. The details describe the extensive and repetitive process necessary to create white sugar. Favorite ActivityYou will write an expository essay about your favorite activities to do after school. 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The cost of producing and selling a single unit of this product at the company's normal activity level of 51,000 units per month is as follows:Direct materials $48.10Direct labor $9.20Variable manufacturing overhead $2.20Fixed manufacturing overhead $19.50Variable selling & administrative expense $4.00Fixed selling & administrative expense $19.00The normal selling price of the product is $108.10 per unit.An order has been received from an overseas customer for 3,100 units to be delivered this month at a special discounted price. This order would not change the total amount of the company's fixed costs. The variable selling and administrative expense would be $2.30 less per unit on this order than on normal sales.Direct labor is a variable cost in this company.Suppose there is not enough idle capacity to produce all of the units for the overseas customer and accepting the special order would require cutting back on production of 1,250 units for regular customers.The minimum acceptable price per unit for the special order is closest to: (Round your intermediate calculations to 2 decimal places.)a. $92.10 per unitb. $108.10 per unitc. $69.10 per unitd. $79.18 per unit