Hello may someone help with my practice, I believe it is t+15=4But I am unsure.

Hello May Someone Help With My Practice, I Believe It Is T+15=4But I Am Unsure.

Answers

Answer 1

It is given that speech can be 15 minutes, or within that time by 4 minutes.

This means that the speech time can vary around 15 minutes by 4 more or less minutes.

So the limits of speech times are:

Upper limit = 15 + 4 = 19 minutes

Lower limit = 15 - 4 = 11 minutes

So, to find out which absolute value equation represents these limits, we have to solve each absolute value equation.

1st equation:

\(\begin{gathered} |t+15|=4 \\ t+15=\pm4 \\ t+15=4,t+15=-4 \\ t=4-15,t=-4-15 \\ t=-11,t=-19 \end{gathered}\)

As you can see, these are not the limits we want since they are negative.

So 1st equation is incorrect.

2nd equation:

\(\begin{gathered} |t-4|=15 \\ t-4=\pm15 \\ t-4=15,t-4=-15 \\ t=15+4,t=-15+4 \\ t=19,t=-11 \end{gathered}\)

As you can see, these are not limits we want since 11 is negative.

So 2nd equation is also incorrect.

3rd equation:

\(\begin{gathered} |t-15|=4 \\ t-15=\pm4 \\ t-15=4,t-15=-4 \\ t=4+15,t=-4+15 \\ t=19,t=11 \end{gathered}\)

Finally, we got the exact same limits that we wanted t = 19 minutes and t = 11 minutes

Therefore, the correct absolute value equation is the 3rd equation.


Related Questions

How much of the circle is shaded? Write your answer as a fraction in simplest form.

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

Answer:

11/24

Step-by-step explanation:

1/3 =8/24

1/8= 3/24

8/24+3/24=11/24

Evaluate the function /(x) = 5x²+2x for the given value of x. Simplify your answer.
h(-4)

Answers

Answer:

h(-4) = 72

Step-by-step explanation:

Given:

h(x) = 5x² +2x

Evaluate the function h(x) = 5x²+2x for x=-4 means to

find h(-4) by substituting x with -4:

h(-4) = 5·(-4)² +2·(-4)

h(-4) = 5·16 -2·4

h(-4) = 5·16 -2·4

h(-4) = 80 -8

h(-4) = 72

Find the surface area

Find the surface area

Answers

Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

The surface area is going to be 120 yards

Rewrite 0,88 as a common fraction​

Answers

Answer: 22 / 25

Step-by-step explanation:

I know this because I know everything.

Rewrite 0,88 as a common fraction

Answer:

\( \frac{22}{25} \)

What is the sum of 3 of the interior angles of a regular pentagon?
5 stars and like

Answers

Answer: 540°.

Step-by-step explanation:

by

Question 4 What is the z score in the following data set, for the value of x = 14? Consider this data set to represent the entire population. Round to two decimal places, if necessary. 6, 12, 9, 8, 15, 5, 7, 10, 11, 13 n't know One attempt 1.45 1.42 1.43 You answered 3 out of 3 correctly. Asking up to 7

Question 4 What is the z score in the following data set, for the value of x = 14? Consider this data

Answers

The value of the z-score for the value x = 14 is 1.45

To get the z-score, we need the value of the mean and the standard deviation

We can get the mean by adding up all the numbers and dividing by the count of values

We have this as follows;

\(\begin{gathered} \frac{6+12+9+8+15+5+7+10+11+13}{10} \\ =\text{ }\frac{96}{10}\text{ = 9.6} \end{gathered}\)

We also need the value of the standard deviation

We have the value of this as 3.04

The formula for the z-score is;

\(\frac{x-\operatorname{mean}}{SD}\)

x in this case is the value 14

So, we have that;

\(\frac{14-9.6}{3.04}\text{ =1.45}\)

A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?

Answers

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.

Answers

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

Finding the equation perpendicular to the tangent

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

The smallest slope on the curve

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

The equation of the tangent line

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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) Emily baked a cake in 42.5 minutes. She finished making dinner 9 1/10 minutes sooner than the cake. How long did it take her to make dinner? Hint: Change the 9 1/10 to a decimal

Answers

It took Emily 33.4 minutes to make dinner.

Define a mixed number?

A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.

To solve the problem, we have to convert the mixed number  \(9 \frac{1}{10}\)   to a decimal number:

⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)

⇒ \(\frac{91}{10}\)  =  9.1

This means that Emily finished making dinner 9.1 minutes sooner than the cake.

To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:

⇒ 42.5 - 9.1 = 33.4 minutes

Therefore, it took Emily 33.4 minutes to make dinner.

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The area of a square carpet is 5476 sq.cm. Find the length of its side.

Answers

Answer:

Area of square = (side)^2 = 5476 sq.cm

side = √5476 sq.cm

side = √(74 cm)^2

side = 74 cm

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Since it's a square, all the sides are the same. Just square root 5476.

m∠1=57°, m∠4=85°, m∠6=12°. Find m∠EAN.

m1=57, m4=85, m6=12. Find mEAN.

Answers

Answer:

m∠EAN =154°  

Step-by-step explanation:

m∠EAN = m∠1 + m∠4 + m∠6

as given in figure we can see that m∠EAN constitute three angles angle 1, 4 and 6

hence m∠EAN will be sum of these three angles.

Given

m∠1=57°, m∠4=85°, m∠6=12°.

m∠EAN = 57° + 85° + 12° = 154°  (answer)

Estimate 6,976 + 3,983 + 13,560 by first rounding each number to the nearest thousand.

Answers

Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

Solve using law of sines, find the area of wxy.

Solve using law of sines, find the area of wxy.

Answers

Answer:

area = 828.27 cm²

Step-by-step explanation:

add a line from X, perpendicular to WY, call this point A.

angle Y = 180 - 33 - 121 = 26 degrees

sin 26 = XA/49

0.4384 = XA/49

XA = 21.48 which is the height of the triangle

cos 26 = YA/49

0.8988 = YA/49

YA =  44.04

tan 33 = 21.48/WA

0.6494 = 21.48/WA

WA = 33.08

YW = 77.12

(YW)(XA)(0.5) = area

(77.12)(21.48)(0.5) = area = 828.27 cm²

(x + 1) (x+8) multiply binomials and put in standard form.

Answers

Answer:

x² + 9x + 8

Step-by-step explanation:

Step 1: FOIL

x² + 8x + x + 8

Step 2: Combine like terms

x² + 9x + 8

Answer:

x^2 + 9x + 8

Step-by-step explanation:

(x + 1)(x + 8)

x(x + 1) +8(x + 1)

x^2 + x + 8x +8

x^2 + 9x + 8

Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are not factors of 42

Answers

Answer:

5, 25, 28, 35, 56, 75 80 are not the factors of 42

a marathon is about 26 miles liong which of these shows to convert 26 miles to feet

Answers

Answer:

137,280 feet

Step-by-step explanation:

1 mile = 5280 feet

26 * 5280 = 137280

Best of Luck!

Answer:

A marathon is about 26 miles long. Which of these shows how to convert 26 miles to feet?

Step-by-step explanation:

Pretty sure thats the answer

A birdbath holds 4 liters of water. How many milliliters does it hold?

Answers

Answer:

4000

Step-by-step explanation:

Answer:

4000

Step-by-step explanation:

You have to multiply the volume value by 1000. So 4 x 1000=4000

Find the value of the following expression:

(28 ⋅ 5−5 ⋅ 190)−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228 (5 points)

Write your answer in simplified form. Show all of your steps. (5 points)

Find the value of the following expression:(28 55 190)2 5 to the power of negative 2 over 2 to the power

Answers

Answer:

25

Step-by-step explanation:

Answer:

5^2 = 25

Step-by-step explanation:

Terry’s garden is in the shape of a quarter-circle with radius 24 meters. What is the area of her garden?

Answers

Answer: 1809.56 let me know if it is right?

Step-by-step explanation:

WILL GIVE BRAINLIEST

WILL GIVE BRAINLIEST

Answers

Answer: a.

Step-by-step explanation:

If there is a negative mark next to the whole fraction, that means both of the numbers are negative.

I am not sure if this answer is accurate. Please inform me if I am incorrect. TY.

Solve for x in the equation x squared minus 10 x + 25 = 35.

Answers

Answer:

x = 10.92, -0.92.

Step-by-step explanation:

x^2 - 10x + 25 = 35

The left side is a perfect square:

(x - 5)^2 = 35

x - 5 = +/- √35

x =  5 +/- √35

x = 10.92, -0.92.

B on Edge 2020!

X = 5±\(\sqrt{35}\)

Just got it right on the quiz, hope this helps!!

Which function is graphed below?



Which function is graphed below?

Answers

The answer for the question above is the B/Second one or

Y=3(1/3)^x

Which of the following explains how ΔBEI could be proven similar to ΔCEH using the AA similarity postulate? Quadrilateral ABDC, in which point F is between points A and C, point G is between points B and D, point I is between points A and B, and point H is between points C and D. A segment connects points A and D, a segment connects points B and C, a segment connects points I and H, and a segment connects points F and G. Segments AD, BC, FG, and IH all intersect at point E. ∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE. ∠BEI ≅ ∠CEH because vertical angles are congruent; reflect ΔCEH across segment FG, then translate point C to point B to confirm∠IBE ≅ HCE. ∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then dilate ΔCEH to confirm segment EB ≅ segment EC. ∠BEI ≅ ∠CEH because vertical angles are congruent; reflect ΔCEH across segment FG, then dilate ΔCEH to confirm segment EH ≅ segment EI.

Answers

∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.

i got it right on the test

This flower is made up of yellow hexagons, red trapezoids, and green triangles.Write sentences to describe the ratios orthe shapes that make up this pattern.1.|2. How many of each shape would be intwo copies of this flower pattern? 6:9

Answers

1) In the flower, there is one red trapezoid, six yellow hexagons and 10 green triangles. The ratio of red trapezoids to yellow hexagons is 1:6, the ratio of red trapezoids to green triangles is 1:10 and the ratio of yellow hexagons to green triangles is 6:10 = 3:5.

2) In one copy, there is one red trapezoid, six yellow hexagons and 10 green triangles.

So in two copies, 2*1 = 2 red trapezoids, 2*6 = 12 yellow hexagons and 2*10 = 20 green triangles.

Solve each equation by completing the square.
d² - 24d + c

Answers

Answer:

d² - 24d + c = (d - 12)² - 144 + c

Could someone help me with this calc question please

Could someone help me with this calc question please

Answers

I hope this helps you...

Could someone help me with this calc question please
Could someone help me with this calc question please

Assume lines n and m are parallel. If μ(∠)1=147°
, find the following angle measures. (Type each answer as a number, in the corresponding blank below.)

Answers

The angle measures of the numbered angles from <1- 8 would be listed below as follows:

<1=147°

<2= 33°

<3= 147°

<4=33°

<5=33°

<6=147°

<7=33°

<8=147°

How to determine the measures of the missing angles?

When two parallel lines a crossed by a transverse line then the following occurs:

the pair of corresponding angles is equal. That is <2=<4the pair of interior alternate angles is equal. That is; <6=<3 and <2=<7the pair of exterior alternate angles is equal. That is;<1=<8,<5=<4interior angles on the same side of transversal are supplementary.That is; <2+<3=180°

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The table shows the age of a painting (x) in years, and its estimated dollar value (y).

A 4-column table with 6 rows. Column 1 is labeled x with entries 50, 54, 62, 65, 68, sigma-summation x = 299. Column 2 is labeled y with entries 1,200, 1,500, 2,400, 3,200, 4,100, sigma-summation y = 12,400. Column 3 is labeled x squared with entries 2,500, 2,916, 3,844, 4,225, 4,624, sigma-summation x squared = 18,109. Column 4 is labeled x y with entries 60,000, 81,000, 148,800, 208,000, 278,800, sigma-summation x y = 776,600.

Which regression equation correctly models the data?

y = 41.47x + 0.09
y = 41.47x + 1,279.93
y = 153.32x – 6,688.54
y = 153.32x – 6,325.76

Answers

Regression equation correctly models the data is: y = -43.98x + 1,279.93

To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.

Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.

The slope (m) can be calculated using the formula:

\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)

Plugging in the values from the table:

m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)

m = (776,600 - 3,708,800 / 6(18,109) - 89,401)

m = (-2,932,200 / 66,654)

m ≈ -43.98

The y-intercept (b) can be calculated using the formula:

b = (Σy - m(Σx)) / n

Plugging in the values from the table:

b = (12,400 - (-43.98)(299)) / 6

b ≈ 1,279.93

The correct regression equation that models the data is:

y = -43.98x + 1,279.93

Out of the given options, the correct regression equation is:

y = -43.98x + 1,279.93

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Triangle D has been dilated to create triangle D′. Use the image to answer the question.

image of a triangle labeled D with side lengths of 18, 24, and 30 and a second triangle labeled D prime with side lengths of 6, 8, and 10

Determine the scale factor used.

Scale factor of one third
Scale factor of 3
Scale factor of 4
Scale factor of one fourth

Answers

The scale factor used to dilate triangle D to create triangle D' is 1/3. This means that each side length in triangle D' is one-third of the corresponding side length in triangle D.

To determine the scale factor used to dilate triangle D to create triangle D', we can compare the corresponding side lengths of the two triangles.

In triangle D, the side lengths are given as 18, 24, and 30. In triangle D', the corresponding side lengths are given as 6, 8, and 10.

To find the scale factor, we can divide the corresponding side lengths of D' by the corresponding side lengths of D.

Scale factor = Length of corresponding side in D' / Length of corresponding side in D

For the corresponding sides, we have:

Scale factor = 6/18 = 1/3

Please note that the scale factor can also be determined by comparing the area or perimeter of the two triangles. However, in this case, we used the corresponding side lengths to find the scale factor.

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Which polynomial is prime?
O 3x³ + 3x² - 2x - 2
O 3x³ − 2x² + 3x − 4
-
O
4x³ + 2x² + 6x + 3
O
4x³+4x²-3x - 3

Which polynomial is prime?O 3x + 3x - 2x - 2O 3x 2x + 3x 4-O4x + 2x + 6x + 3O4x+4x-3x - 3

Answers

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

--------------------------------------------------

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

----------------------------------------------------

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

-------------------------------------------------

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

--------------------------------------------------

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

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please help me, guys! pls pls the media inductry isso varried that it is is difficult to make broad generalazations to desrcibe it at all levels from local to national Which of the following is the most appropriate and modern definition of accounting?A) The information system that identifies, records, and communicates the economic events of an organization to interested usersB) A means of collecting informationC) The interconnected network of subsystems necessary to operate a businessD) Electronic collection, organization, and communication of vast amounts of information Assume that an economy is described by the IS curve Y-3,600+3G-2T- 150r and the LM curve Y-2 MP + 100r [or r= 0.01 y. -0.02(MP). The investment function for this economy is 1,000-50r. The consumption function is C-200(2/3)(Y- T). Long-run equilibrium output for this economy is 4,000. The price level is 1.0 a) Assume that government spending is fixed at 1,200. The govemment wants to achieve a -900? What levels of Tand M must be set to achieve the two goals? What will be the b)Now assume that the government wants to cut taxes to 1,000. With G set at 1,200, what level of investment equal to 900 and also achieve Y= 4,000. What level of r is needed for levels of private saving, public saving, and national saving? will the interest rate be at Y= 4,000? What must be the value of M? What will / be? What will be the levels of private, public, and national saving? c) Which set of policies may be referred to as tight fiscal, loose money? Which set of policies may be referred to as loose fiscal, tight money? Which "policy mix" most encourages investment? please discuss the Networking website of your choice. Discussthe positives and negatives of networking in person and through awebsite. Include any opinions or experiences you have aboutnetworking. I WiLl DuB ThE BrAiNlIeSt : Simplify the equation: answer to: 3[2(8-2*4)+25/5]-5[2(8/4*2)-7(7-2*3)] Answer right and get Brainliest. (The answer is NOT 0) Interpreting ImagesSelect the image that shows the Ishtar Gate.A very tall, long wall built of stone.Buildings surrounded by water, plants, and flowers.An arched entrance with a gate. There are tall walls and a lookout tower on either side of the entrance. The walls are blue with images of dragons and bulls. I WILL GIVE YOU BRAINLIST Question content area topPart 1A car with a full tank that holds 11.6 gallons of gasoline is using 1.45 gallons per hour. Is the tank more than half full of gasoline after 3.5 hours? Explain your answer. please help me answer these 2 Which statement proves that quadrilateral hijk is a kite. In air, a sound wave with a frequency of 196 hz has a wavelength of about 1.76 meters. what is the wavelength of a wave if the frequency is increased to 784 hz? If the sum of squares of the roots of the equation x - 3ax + a = 0 is equal to 4, find the value of a. A customer must choose a color of wrapping paper and gift box type for gift wrapping at a store. The table shows the customers options.Wrapping Paper Color red (R)silver (S)yellow (Y)Gift Box Typeregular (G)premium (P)Which list shows the complete sample space of choosing a wrapping paper color and gift box for the gift?A)GR, GS, GP, GYB)PG, PR, PS, PYC)RG, RP, RS, SG, SP, YG, YP, YR, YSD)RG, RP, SG, SP, YG, YP When did George Washington die How many numbers can you make by using the digits 2 5 and 3? Convert 1/12 to a decimal using division PLEASE HELP 25 POINTS An entity purchased an asset on January 1, 2018 for $300,000. The asset is being depreciated on a straight line basis over 10 years. The asset's residual value is $50,000. During 2021, the total useful life was re-estimated to be 8 years with a residual value of $80,000. What is the depreciation expense for the year 2021? Oa) $29,000 b) $25,000 Oc) $30,000 d) $18,125 Read the excerpt from "Should we abolish the Electoral College?"The outdated Electoral College system can create an imbalance of power that could negatively affect your life and it should be changed. What is another word the author could have chosen that would have a similar connotation to outdated?Old-fashionedVintageRetroObsolete During which event were texas soldiers captured and imprisoned by the mexican army while attempting to enforce the texas claim to the eastern half of new mexico?