round 4.2894 to two decimals

Answer:

A and C do not describe a residual

Step-by-step explanation:

A residual in least squares regression is defined as the difference between the actual value and the predicted value. Symbolically, this definition is represented by alternative B.

Answer:

120 feet

Step-by-step explanation:

12 x 10 = 120

Answer:

19.38 cm^2

Step-by-step explanation:

base * height = A of parallelogram

3.4 * 5.7 = 19.38

Recall that the sum of all interior angles in a triangle is 180°, and that a flat-line is always 180°.

Check the picture below.

After 8 years, the city's population will be 538,156 people.

To calculate the population after 8 years, we can use the formula for compound interest:

\[A = P(1 + r)^n\]

Where:

A = Future population

P = Initial population (380,000)

r = Annual growth rate (6.25% or 0.0625 as a decimal)

n = Number of years (8)

Plugging in these values:

\[A = 380,000(1 + 0.0625)^8\]

\[A ≈ 538,156\]

So, the population of the city after 8 years will be approximately 538,156 people.

To calculate the population after 8 years, we used the formula for compound interest, as population growth can be thought of as compounding annually.

The initial population of 380,000 is multiplied by the growth factor, which is calculated by adding 1 to the annual growth rate expressed as a decimal (0.0625).

This factor is then raised to the power of the number of years (8).

The result is approximately 538,156, rounded to the nearest whole number. This means that with an annual growth rate of 6.25%, the city's population will increase to around 538,156 people after 8 years.

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The population in 8 years will be 663,994 people.

To find the population of a city after 8 years given a 6.25% annual growth rate, we use the formula for exponential growth:

Population = P(1 + r)^t

where:

Given:

Substitute the values into the formula:

Population = 380,000 * (1 + 0.0625)⁸

Calculate:

Rounding to the nearest whole number, the population after 8 years will be 663,994 people.

Answer:

[tex]8\ units< x < 18\ units[/tex]

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the Theorem

case 1) [tex]42+4x > 2x-6[/tex]

[tex]4x-2x > -6-42[/tex]

[tex]2x > -48[/tex]

[tex]x > -24\ units[/tex]

case 2) [tex]42+(2x-6) >4x[/tex]

[tex]42-6 >4x-2x[/tex]

[tex]36 >2x[/tex]

[tex]18 >x[/tex] -----> rewrite

[tex]x<18\ units[/tex]

case 3) [tex]4x+(2x-6) > 42[/tex]

[tex]4x+2x > 42+6[/tex]

[tex]6x > 48[/tex]

[tex]x > 8\ units[/tex]

therefore

[tex]8\ units< x < 18\ units[/tex]

Answer:

A should be the correct answer

Step-by-step explanation:

1/3π xr^2xh just means "3.14 x r^2 x height ÷ 3"

The right choice is C

See the image

Answer:

Step-by-step explanation:

(3(-2)*3(5)*-2)^2

(-6*15*-2)^2

180^2

32,400

Answer:

[tex]\Rightarrow \dfrac{576}{625}[/tex]

Step-by-step explanation:

Given:

Expression, [tex](3x^3y^{-2})^2[/tex]

To find the value of expression at x=-3 and y=5

Put the values into expression

[tex]\Rightarrow (3(-2)^3(5)^{-2})^2[/tex]

[tex]\Rightarrow (3\cdot -8\cdot \dfrac{1}{25})^2[/tex]      [tex]\because x^{-m}=\dfrac{1}{x^m}[/tex]

[tex]\Rightarrow (-\dfrac{24}{25})^2[/tex]

[tex]\Rightarrow \dfrac{576}{625}[/tex]

Hence, The value of expression would be [tex]\Rightarrow \dfrac{576}{625}[/tex]

The school spent approximately $26.16 per student for a zoo pass and lunch during their field trip.

The total amount spent on passes for the 34 students and 4 teachers is $654.36. The total amount spent on lunch for just the students is $303.96. It means for each student, the school spent a combined amount on passes and lunch. To find this, first, we need to identify how much was spent per student for the pass, then add this to the amount spent per student on lunch.

First, we calculate the cost of a pass for each student. Since the total cost of passes is for both students and teachers, we need to find only the cost for the students. We accomplish this by subtracting the teachers’ share. It assumes the cost of a pass for a student and a teacher is the same.

The cost per person (student or teacher) for the pass is: $654.36 / (34 students + 4 teachers) = $654.36 / 38 = $17.22 (approximately, rounding to the nearest penny).

To determine the cost per student for lunch, we just need to divide the total lunch cost by the number of students: $303.96 / 34 = $8.94 (approximately).

In the end, the total cost per student for both the pass and lunch is: $17.22 + $8.94 = $26.16

Therefore, the school spent approximately $26.16 per student for a zoo pass and lunch.

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The school spent approximately $17.22 on passes and $8.94 on lunch for each student.

Now, let's plug in the values and calculate:

Step 1:

Total spent on passes = $654.36

Step 2:

Amount spent on passes for teachers = 4 * (Amount spent on each teacher's pass)

To find the amount spent on each teacher's pass, divide the total spent on passes by the total number of passes.

Step 3:

Calculate the amount spent on passes for students.

Number of students = 34

Number of teachers = 4

Total number of passes = 34 + 4 = 38

Amount spent on each pass = Total spent on passes / Total number of passes

[tex]\[Amount\ spent\ on\ each\ pass = \frac{654.36}{38}[/tex] ≈ 17.22

Step 4:

Find the total amount spent on lunch for students.

Total spent on lunch for students = $303.96

Step 5:

Calculate the amount spent on lunch for each student.

[tex]\[Amount\ spent\ on\ lunch\ for\ each\ student[/tex] = [tex]\frac{303.96}{34}[/tex] ≈ 8.94

So, the school spent approximately $17.22 on passes and $8.94 on lunch for each student.

Answer:

92.45cm^2

Step-by-step explanation:

The volume of the cone is found with pi*r^2*h/3

Divide 30 minutes by 5 miles to see how many minutes it takes to run run mile.

Multiply the time to run 1 mile by 7 miles.

30 min / 5 miles = 6 minutes per mile.

6 minutes per mile x 7 miles = 42 total minutes.

Slope: 4/3

x-intercept: (-3,0)

y-intercept: (0,4)

slope: 3/4

y intercept: 4

I'm not sure what the x intercept is. Hope this can help!

The logical order for the proof is as follows: [tex]\( \overline{UV} \parallel \overline{WZ} \)[/tex] (Given), [tex]\( m\angle SQV + m\angle VQT = 180^\circ \)[/tex] (Substitution Property of Equality), [tex]\( m\angle SQT = 180^\circ \)[/tex] (Definition of a Straight Angle), and [tex]\( m\angle SQV = m\angle ZRS \)[/tex] (Subtraction Property of Equality). The correct choice is: c. II, III, I

The logical order of statements and reasons in the proof is as follows: First, it's given that [tex]\( \overline{UV} \parallel \overline{WZ} \)[/tex]. Then, by the Substitution Property of Equality, we have [tex]\( m\angle SQV + m\angle VQT = 180^\circ \)[/tex]. The Definition of a Straight Angle is applied to conclude that [tex]\( m\angle SQT = 180^\circ \)[/tex].

The Angle Addition Postulate supports [tex]\( m\angle SQV + m\angle VQT = m\angle SQT \)[/tex]. The Same-Side Interior Angles Theorem establishes [tex]\( m\angle VOT + m\angle ZRS = 180^\circ \)[/tex]. Using the Substitution Property of Equality, [tex]\( m\angle SQV + m\angle VQT = m\angle VQT + m\angle ZRS \)[/tex]. Finally, the Subtraction Property of Equality yields [tex]\( m\angle SQV = m\angle ZRS \)[/tex], and, by the Definition of Congruency, [tex]\(\angle SQV = \angle ZRS\)[/tex].

The correct answer is:

c. II, III, I

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Answer:

Step-by-step explanation:

Yes, a rhombus

The student draws a shape (trapezoid, kite, chevron, non-rectangular or non-rhombi parallelogram, or other quadrilateral that fits the criteria) and can clearly explain why it is not a square (because it does not have four right angles and four congruent sides), a rhombus (because it does not have four congruent sides)

I hope that help u(:

ANSWER

[tex](f\circ g)(x)=7 {x}^{2} - 9[/tex]

EXPLANATION

It was given that;

[tex]f(x) = 7x - 9[/tex]

and

[tex]g(x) = {x}^{2} [/tex]

We want to find an expression for the composition function;

[tex](f\circ g)(x)=f(g(x))[/tex]

[tex](f\circ g)(x)=f( {x}^{2} )[/tex]

We substitute x² into f(x)=7x-9

This will give us:

[tex](f\circ g)(x)=7 {x}^{2} - 9[/tex]

First solve the equation for 3x

-3x+3y=12

3x=-57-6y

Now substitute the given value into the equation

-(-57-6y)+3y=12

Then solve for y

Y=-5

Then substitute the given value of y

3x=-57-6✖️(-5)

Now solve for x

X=-9

Ordered pairs

(X,Y)=(-9,-5)

Then you are left with your answer:

(-9,-5)

Hope this helps! :3

First we need to solve for X.

Solve for xx.

-3x+3y=12−3x+3y=12

Divide both sides by -3−3.

x-y=-\frac{12}{3}x−y=−

Simplify \frac{12}{3}

x-y=-4x−y=−4

Add y to both sides.

x=-4+yx=−4+y

Regroup terms.

x=y-4x=y−4

Step two:

Let's start with the normal equation.

3x+6y=-573x+6y=−57

Let x=y-4x=y−4.

3(y-4)+6y=-573(y−4)+6y=−57

Simplify.

9y-12=-579y−12=−57

Great! Now we are on step 3.

Solve for y.

9y-12=-579y−12=−57

Add 1212 to both sides.

9y=-57+129y=−57+12

Simplify -57+12−57+12 to -45−45.

9y=-459y=−45

Divide both sides by 99.

y=-\frac{45}{9}y=−

Simplify \frac{45}{9}​​  to 55.

y=-5y=−5

Step 4! Boom!!

Now let's start with what we have.

x=y-4x=y−4

Let y=-5y=−5.

x=-5-4x=−5−4

Simplify.

x=-9x=−9

Then our answers are:

x=−9

y=-5y=−5

Have an amazing day and thanks for using Brainly!

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top problems:

1-) x²-2x-8

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

2-) 4s²-4s+1

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

3-) 6x²-3-7x

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

4-) 4u²+8u

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

5-) t²-15

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

6-) 3x²-x-4

bottom problems:

1-) [tex]\frac{1}{4},-1[/tex]

y=x²+[tex]\frac{3x}{4}-\frac{1}{4}[/tex]

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

2-)[tex]\sqrt{2},\frac{1}{3}[/tex]

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

3-) 0, √5

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

4-) 1,1

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

5-)[tex]-\frac{1}{4}, \frac{1}{4}[/tex]

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

6-) 4,1

Step-by-step explanation:

1) x²- 2x - 8

= x² - 4x + 2x - 8

= ( x - 4 )(x-2)

2) 4s² - 4s +1

= (2s)² - 2*2*s + 1²

= ( 2s + 1)²

In similar way you can factor out the other expressions .

Answer:

177 Seconds

Step-by-step explanation:

192 + 231 =423

10 minutes is equal to 600 seconds because there are 60 seconds in every minute.

600 - 423 = 177

Final answer:

Sierra listened to a total of 600 seconds of music. After subtracting the length of the first two songs (192 seconds + 231 seconds = 423 seconds), we find the third song was 177 seconds long.

Explanation:

Sierra listened to her playlist for 10 minutes, or 600 seconds, as there are 60 seconds in a minute. She listened to 3 songs where the first song lasted 192 seconds and the second song lasted 231 seconds. To find out how long the third song was, we need to subtract the length of the first two songs from the total listening time.

The total length of the first two songs is 192 seconds + 231 seconds = 423 seconds.

So, the length of the third song is 600 seconds - 423 seconds = 177 seconds, which means the third song lasted for 177 seconds.

since you cross multiply, 2 times 4 is 8 and 6 times the p is 6p so divide both sides by 6 and 8/6 is 1.33 so 1.33=p

Answer:

p = 4/3

Step-by-step explanation:

The problem is showing you a proportion and how to solve it.

Let's use the following proportion to explain the cross multiplication method.

[tex] \dfrac{a}{b} = \dfrac{c}{d} [/tex]

Start with the proportion above. To get rid of parentheses, multiply both sides by b and by d.

[tex] bd\dfrac{a}{b} = bd\dfrac{c}{d} [/tex]

Simplify:

[tex] ad = bc [/tex]

Now look again at the proportion we started with.

[tex] \dfrac{a}{b} = \dfrac{c}{d} [/tex]

The two products we ended up with are the same you have circled in your problem. Those products are the result of cross multiplying.

Now let's do your problem and go straight to the cross multiplication.

[tex] \dfrac{6}{2} = \dfrac{4}{p} [/tex]

6 and p are circled together, so the left side becomes 6p.

2 and 4 are circled together, so the right side becomes 2 * 4.

After cross multiplying, we have

6p = 2 * 4

6p = 8

Divide both sides by 6 to find p.

p = 8/6

Reduce the fraction

p = 4/3

What the problem shows you is that to simplify a proportion, set the cross products equal to each other, and solve the equation.

Answer:

$392

Step-by-step explanation:

We are buying 16 blouses.  Each one costs 24.50

16*24.50 =392

The total cost of the 16 blouses is $392

Answer:

$392.00 all together

Step-by-step explanation:

$24.50 times 16

Hope This Helps!    Have A Nice Day!!

Answer:

96°

Step-by-step explanation:

so we are given two angles, we can use the two angles that were given to find the angles inside the triangle (2 of them)

then once we find those two angles in the triangle, we can use those to find the third angle

then we can figure out what x is

so both a straight line and a triangle are 180°

angle 1: 180°-134° = 46°

angle 2: 180°- 130° = 50°

now we add the two angles together: 46° + 50° = 96°

one triangle = 180°

180° - 96° = 84° = angle 3

now we can find x by subtracting 84° from 180°

180°-84° = 96°

Answer:

x = 96 degrees

Step-by-step explanation:

As you know the sum of a set of exterior angles is 360 degrees

so

x + 130 + 134 = 360

x + 264 = 360

x = 360 - 264

x = 96

Answer:

25.5

Step-by-step explanation:

Answer:

[tex]\$\ 25[/tex]

Step-by-step explanation:

By definition, the absolute error is defined as:

[tex]\epsilon = |x_a - x_e|[/tex]

Where:

[tex]\epsilon[/tex]: is the error

[tex]x_a[/tex]: is the approximate value

[tex]x_e[/tex]: is the exact value

In this problem the approximate value was 100 and the exact value was 75. Then we substitute these values in the formula to find the error.

[tex]\epsilon = |100 - 75|\\\epsilon = \$\ 25[/tex]

Answer:

$25

Step-by-step explanation:

|25|=25

For people doing this in 2020

Answer:

p=1.

Step-by-step explanation:

All you do is add 6 to both sides to get rid of the 6 on the p side and add 6 to the other side and the value of -5+6 is 1.

p=1.

Answer:

P=1

Step-by-step explanation:

You add 6 on both sides then subract by -5

and it will give you 1

Volume is found by multiplying the length by the width by the height.

Since you are given the volume and two of the dimensions, multiply the two dimensions together, then divide the volume by that number.

11 x 5 = 55

Width = 440 / 55

Width = 8 inches.

Answer:

Step-by-step explanation:

Y=18.75x + 2500

Change the addition sign to a subtraction = Y=18.75x - 2500

Then bring 18.75x and divide it by 2500 = 133.33 so Y=133.33 if you were to round it would be 133.00

The total wage will be equal to $2593.75.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Miguel recently started a new hourly wage job. The equation y= 18.75x + 2500 models his total pay.

The total wage at 5 hours will be calculated as below:-

y= 18.75x + 2500

y = ( 18.75 x 5 ) + 2500

y = ( 93.75 ) + 2500

y = $2593.75

Therefore, the total wage will be equal to $2593.75.

The complete question is given below:-

Miguel recently started a new hourly wage job. The equation y= 18.75x + 2500 models his total pay, y, in dollars as it relates to the number of hours, x, that he has worked. Calculate the total wage at 5 hours working.

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Solution set: s ∈ (-4, -12). The first option shows the correct number line.

Let's find the number line that shows the solution set for the inequality:

[tex]\left|\frac{s}{2}+4\right| < 2[/tex]

We can solve the inequality by splitting it into two cases, one positive and one negative, and then solving each case separately.

Steps to solve:

1. Split the inequality into two cases:

[tex]\frac{s+8}{2} < 2[/tex]

[tex]-\frac{s+8}{2} < 2[/tex]

2. Solve the first case:

[tex]2 \cdot \frac{s+8}{2} < 2 \cdot 2[/tex]

s + 8 < 2⋅2

s + 8 < 4

s < −4

3. Solve the second case:

[tex]2 \cdot \frac{-(s+8)}{2} < 2 \cdot 2[/tex]

−(s + 8) < 2⋅2

−s − 8 < 2⋅2

−s − 8 < 4

−s < 12

[tex]\frac{-s}{-1} > \frac{12}{-1}[/tex]

s > −12

4. Combine the solutions from both cases:

s < −4 or s > −12

The number line that shows the solution set for the inequality is the one with the shaded regions between −4 and −12.

Answer:

a) distance from plane to swimmer = 2127.66 m

b)  distance from swimmer to point D = 1928.31 m

Step-by-step explanation:

Given the question,

height at which the plane is = 900m

angle of depression = 25°

If we closely observe, the whole scene is making an right angle triangle

So, we can use trigonometry identities

cos (90-25) = 900 / AB

0.423 = 900 /AB

AB = 2127.66 m

sin(90-25) = AD /2127.66

AD =  sin(90-25) x 2127.66

AD = 1928.31m

V = 4/3 π r^3 //Multiply both sides by 3 and divide both sides by 4.

3V/4 = π r^3 //Divide both sides by π

(3V)/(4π) = r^3 //Cube root on both sides.

3√ (3V/4π)

NOTE: 3√ means cube root and not 3 times square root. Everything inside the root is cube root (3V)/(4π).

//Hope it helps.

For this case we have that by definition, the volume of a sphere is given by:

[tex]V = \frac {4} {3} * \pi * r ^ 3[/tex]

We must find the solution for "r", clearing:

Multiplying by 3 on both sides of the equation:

[tex]3V = 4 * \pi * r ^ 3[/tex]

We divide between[tex]4 * \pi[/tex] on both sides of the equation:

[tex]\frac {3V} {4 \pi} = r ^ 3[/tex]

Finally, we apply cubic root on both sides of the equation:

[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]

Answer:

[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]

Answer: 2 1\2

Step-by-step explanation:

4-1 1\2=2 1\2