Use mental math to solve for the missing number:

Answer:

x = -5

Step-by-step explanation:

4 - 2(x + 7) = 3(x + 5)

4 - 2x - 14 = 3x + 15

-10 - 2x = 3x + 15

-10 - 2x - 3x = 15

-2x - 3x = 15 + 10

-5x = 15 + 10

-5x = 25

x = -5

Hope this helps! :)

Answer:

The upper bound for the perimeter of the rectangle = 427.76 cm

Step-by-step explanation:

To obtain the upper bound for the perimeter, we need to first obtain the upper bound for the Length and Breadth of the rectangle.

Since, these dimensions were rounded to the nearest 1 decimal place, we can write down their ranges

Length = 127.3 cm

Width = 86.5 cm

Length can range from 127.25 cm to 127.34 cm

Breadth can range from 86.45 cm to 86.54 cm

The upper bound for the Length and Breadth of the rectangle are this 127.34 cm and 86.54 cm respectively.

Perimeter = 2 (L + B)

Upper bound of the perimeter

= 2 × (127.34 + 86.54)

= 2 × 213.88

= 427.76 cm

Hope this Helps!!!

Answer:

7 and 5/6.

Seven and five-sixths.

Step-by-step explanation:

-2 and 1/3  = -6/3 and 1/3 = -7/3

-10 and 1/6 = -60/6 and 1/6 = -61/6

(-7/3) - (-61/6)

= (-14/6) + (61/6)

= 47/6

= 7 and 5/6.

Hope this helps!

Answer:

Step-by-step explanation:

1: 0.75

2: 0.166

3: 0.466

4: 0.66

Sorry if anyone of these are wrong

Answer:

3/4=0.75

1/6=0.16666667

7/15=0.46666667

13/20=0.65

Step-by-step explanation:

You can use the 'division house' to get the answer. The denominator is always out, and the numerator always inside.

Hope this helps ;) ❤❤❤

Answer:

X= 48.125

Step-by-step explanation:

Answer:

16 cm

Step-by-step explanation:

1.6 m = 160 cm

Model length = 160 / 10 = 16 cm

Answer:

160 cm

Step-by-step explanation:

1 : 10

1.6 : x

Cross multiply.

1 × x = 10 × 1.6

x = 160

Answer:

AB

Step-by-step explanation:

ez

Answer:

E to C is a minor arc a major arc in this case would be E to G or F to H

Step-by-step explanation:

Answer:

x = -5/2    x=1      x = -1

Step-by-step explanation:

p(x) = 2x^3 + 5x^2 – 2x – 5

Use factor by grouping

p(x) = 2x^3 + 5x^2       – 2x – 5

Factor x^2 from the first group and -1 from the second group

    x^2(2x +5) -1( 2x+5)

Then factor out 2x+5

p(x) = (2x+5) (x^2-1)

Factor x^2 -1 as the difference of squares

p(x) = (2x+5)(x-1)(x+1)

Set to zero to find the x intercepts

0 = (2x+5)(x-1)(x+1)

Using the zero product property

2x+5 =0    x-1 =0   x+1 =0

2x = -5        x=1       x=-1

x = -5/2    x=1      x = -1

Answer:

The zeroes are (-1,0), (1, 0) and (-5/2, 0)

Step-by-step explanation:

We can find the zeroes by factoring:

2x^3 + 5x^2 - 2x - 5 = 0  

x^2(2x + 5) - 1(2x + 5) = 0

(x^2 - 1)(2x + 5) = 0

(x - 1)(x + 1)(2x + 5) = 0

So x = -1, 1, -5/2.

Answer:

(a) The acceleration of the car is 5 m/s²

(b) The distance covered by the car in that time is 30 m

Step-by-step explanation:

Given;

initial velocity of the car, u = 36 km/h = 10 m/s

final velocity of the car, v = 72 km/h = 20 m/s

time for the motion, t = 2 seconds

(a) .The acceleration of the car;

v = u + at

[tex]a = \frac{v-u}{t} \\\\a = \frac{20-10}{2}\\\\a = 5 \ m/s^2[/tex]

(b) The distance covered by the car in that time

[tex]s = (\frac{v+u}{2} )t\\\\s = (\frac{20+10}{2} )*2\\\\s = 30 \ m[/tex]

Answer:

19 tickets

Step-by-step explanation:

Nadine sold two kinds of tickets to her class play

The student tickets cost $3

Adult tickets cost $5.50

Nadine sold a total of 25 tickets for $90

We are required to find the number of students tickets that were sold

Let x represent the number of tickets sold to students

Let y represent the number of tickets sold to adults

x + y= 25

x= 25-y..........equation 1

Since the total cost of the ticket is $90

3x + 5.50y=90..........equation 2

Substitute 25-y for x in equation 2

3(25-y) + 5.50y= 90

75-3y+5.50y= 90

75+2.5y= 90

Collect the like terms

2.5y= 90-75

2.5y=15

Divide both sides by 2.5

2.5y/2.5=15/2.5

y= 6

Substitute 6 for y in equation 1

x= 25-y

x= 25-6

x= 19

Hence Nadine sold 19 student tickets

Answer:

[tex]\frac{(p + 2)m}{p}[/tex]

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

The question shows a direct proportion between cups of rice and cups of water.

So, the first step is to get the proportionality constant (k)

This is calculated using the following expression;

[tex]m = k * p[/tex]

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

[tex]k = \frac{m}{p}[/tex]

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

[tex]k = \frac{x}{p + 2}[/tex]

Equate both expressions of k; to give

[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]

Multiply both sides by p + 2

[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]

[tex](p + 2) * \frac{m}{p} =x[/tex]

[tex]x = (p + 2) * \frac{m}{p}[/tex]

[tex]x = \frac{(p + 2)m}{p}[/tex]

Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]

Answer:

[tex]AB = \frac{11}{2}[/tex]

Step-by-step explanation:

Given

The above diagram

[tex]AB = 3y + 4[/tex]

[tex]AC = 11y[/tex]

Required

Determine length AB

Tangents drawn from the same point of a circle are equal;

This implies that

[tex]AB = AC[/tex]

Substitute values for AB and AC

[tex]3y + 4 =11y[/tex]

Subtract 3y from both sides

[tex]3y - 3y + 4 = 11y - 3y[/tex]

[tex]4 = 8y[/tex]

Divide both sides by 8

[tex]\frac{4}{8} = \frac{8y}{8}[/tex]

[tex]\frac{4}{8} = y[/tex]

[tex]\frac{1}{2} = y[/tex]

Substitute [tex]\frac{1}{2}[/tex] for y in [tex]AB = 3y + 4[/tex]

[tex]AB = 3 * \frac{1}{2} + 4[/tex]

[tex]AB = \frac{3}{2} + 4[/tex]

[tex]AB = \frac{3 + 8}{2}[/tex]

[tex]AB = \frac{11}{2}[/tex]

Answer:

hope its wht u require....

Answer:

The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.

Step-by-step explanation:

Given that farmer shall construct a rectangular fenced-in area and a side of the barn is one side of such area, the needed length of fencing is represent by the following perimeter equation ([tex]p[/tex]), measured in square yards:

[tex]p = 2\cdot l + w[/tex]

Where:

[tex]l[/tex] - Length of the rectangle, measured in yards.

[tex]w[/tex] - Width of the rectangule (side of the barn), measured in yards.

In addition, the equation of the fenced-in area ([tex]A[/tex]) is:

[tex]A = w\cdot l[/tex]

If [tex]p = 20\,yd[/tex], equation of area is now simplified as follows:

[tex]A = (20\,yd - 2\cdot l)\cdot l[/tex]

[tex]A = 20\cdot l - 2\cdot l^{2}[/tex]

The value of [tex]l[/tex] associated with the maximum area is obtained with the help of First and Second Derivative Tests. Firstly, first and second derivatives of the area function are determined:

[tex]A' = 20 - 4\cdot l[/tex]

[tex]A'' = -4[/tex]

Let equalize first equation to zero, second derivative indicates that critical value follows to an absolute maximum. Hence:

[tex]20-4\cdot l = 0[/tex]

[tex]l = 5\,yd[/tex]

The width of the rectangle is: ([tex]p = 20\,yd[/tex] and [tex]l = 5\,yd[/tex])

[tex]w = p - 2\cdot l[/tex]

[tex]w = 20\,yd - 2\cdot (5\,yd)[/tex]

[tex]w = 10\,yd[/tex]

And finally, the maximum area she can achieve is:

[tex]A = (5\,yd)\cdot (10\,yd)[/tex]

[tex]A = 50\,yd^{2}[/tex]

The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.

Answer:

6d+6 is the correct answer

Step-by-step explanation:

Answer:

[tex]cos^{-1}(\frac{5}{13} )[/tex]

Step-by-step explanation:

We can see that x is at ∠A.

To find x:

cosx° = 5/13

x = cos^-1(5/13)

sinx° = 12/13

x = sin^-1(12/13)

tanx° = 12/5

x = tan^-1(12/5)

Out of our answer choices, the only one that fits is the inverse cos(5/13).

Answer:

inverse cos 5/13

Step-by-step explanation:

i took the quiz

Answer:

1st bacteria : 2nd bacteria

t^2-3t+4  ( 3rd option)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of the 7 cm by 11 cm rectangle is ...

  A = bh

  A = (7 cm)(11 cm) = 77 cm^2

The area of the circle of radius 2 cm is ...

  A = πr^2 = π(2 cm)^2 = 4π cm^2

If the shaded area lies between the circle and the rectangle, its area is the difference of these:

  shaded area = 77 cm^2 -4π cm^2

Using π = 3.14, this area is ...

  (77 -4·3.14) cm^2 = 64.44 cm^2

Using π = 3.141592, this area is ...

  (77 -4·3.141592) cm^2 ≈ 64.43 cm^2

The shaded area is 64.43 cm^2, (64.44 if you use π=3.14).

_____

Comment on π

Often, you are required to use a specific valued for π, even if that is inappropriate for the number of significant digits required in the answer. In recognition of that, we have offered both the correct answer (64.43) and the one associated with the value of π you may be expected to use.

Answer:

64.43cm ^2

Step-by-step explanation:

First, calculate the area of the whole figure, including the unshaded area.

The area of a rectangle is the length times the width.

7cm x 11cm = 77c[tex]m^{2}[/tex]

Next, calculate the area of the inner figure.

The area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

[tex]\pi[/tex] x 2cm x 2cm = 4[tex]\pi[/tex] c[tex]m^{2}[/tex]

Finally, subtract the area of the inner circle from the area of the outer rectangle.

77 c[tex]m^{2}[/tex] - 4[tex]\pi[/tex] c[tex]m^{2}[/tex] ≈ 64.43 c[tex]m^{2}[/tex]

Answer:

a. The graph is non-linear. If the graph was linear, it would be one continuous straight line.

b. The graph is increasing from x = 0 to x = 2, constant at x = 2 to x = 3, and decreasing from x = 3 to x = 5. So, [0, 2) is increasing, [2, 3) is constant, and [3, 5] is decreasing.

c. The ant starts to travel 6 cm away from the nest for 2 seconds. Between 2 to 3 seconds, it stays the same distance away. Then, after 3 seconds, it comes back to the base. At 5 seconds, it has returned.

Step-by-step explanation:

Answer:

Part A: it is linear because it is not curving and it consists of straight lines.

Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.

Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.

Step-by-step explanation:

⇒Answer:

[tex]\frac{9}{20}[/tex]

⇒Step-by-step explanation:

Well 45% is saying it is 45% out of 100,

So we can make the following fraction

45/100

Then we simplify by dividing 45 and 100 by 5

Hence, the answer is [tex]\frac{9}{20}[/tex]

Answer:

see below

Step-by-step explanation:

3y = -9

Divide each side by 3

3y/3 = -9/3

y = -3

Answer: B  x>0

Step-by-step explanation:

Answer:

x> 0

Step-by-step explanation:

There is an open circle at zero which means it does not include zero

The line goes to the right which means greater than

x> 0

Answer:

C.  4^x - 5x - 14.

Step-by-step explanation:

(f - g) x

= 4^x - 8 - (5x + 6)

= 4^x - 5x - 8 - 6

= 4^x - 5x - 14.

The last set should not be the angle of the measurements of triangle ABC i.e. Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees

If we add the three sides of triangle so its total should be 180 degrees

So

= 55 + 65 + 60

= 180

Now

= 60 + 60 + 60

= 180

Now

= 57 + 58 + 65

= 180

And,

= 61 + 57 + 61

= 181

Therefore, The last set should not be the angle of the measurements of triangle ABC i.e. Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees

Learn more about triangle here: https://brainly.com/question/11508323

Answer: its A

Step-by-step explanation:

Answer:

31.52% increase (decrease)

Step-by-step explanation:

To find the decrease in the percentage of students from the previous year to the current year, you must establish a baseline to be your maximum (100%).  For this we'll use the 92 students.  From here, we need the current 63 students to establish the current percentage.

Simply:

63/92 == .6848 == 68.48%

So our current percentage of students is 68.48%.  We want the decrease of the students compared to the previous percentage so we'll need to do the maximum minus the current to get the change (or the decrease).

100% - 68.48% = 31.52%

Thus, the population increase (decrease) for this year is 31.52%.

Answer:

68.47

Step-by-step explanation:

63/92

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's b! now remember to breathe and relax a little. everything is going to be okay ♡

Answer:

Explanation:

Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..

Answer:

B. f(x) = x^4 -19x^2 +244x -928

Step-by-step explanation:

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

4, -8, and 2 + 5i

A.) f(x) = x^4 - 6x^3 - 20x^2 + 122x - 928

B.) f(x) = x^4 - 19x^2 + 244x - 928

C.) f(x) = x^4 - 6x^3 + 20x^2 - 122x + 928

D.) f(x) = f(x) = x^4 - 61x^2 + 244x - 928

A polynomial function with real coefficients has complex roots in both conjugates, hence the minimum polynomial is of the 4th degree with roots

4, -8, 2 + 5i, 2 - 5i

A polynomial can be found by expanding the following factors:

P(x) = (x-4)(x+8)(x-2-5i)(x-2+5i)

= (x-4)(x+8)(x^2-4x+29)

= x^4 -19x^2 +244x -928

Answer:

-8/3

Step-by-step explanation:

First find the slope of the line

3x+y = 1

Solve for y

y = -3x+1

This is in slope intercept form

y = mx+b where m is the slope

The slope is -3

The slopes of perpendicular lines multiply to -1

m* -3 = -1

m = 1/3

The line perpendicular has a slope of 1 / (3) = 1/3

The sum is -3 + 1/3

-9/2 + 1/3 = -8/3

Answer:

Step-by-step explanation:

x³-4x²+x-4=

=x²(x-4)+(x-4)

=(x-4)(x²+1)

=(x+4)(x-i²)

Answer:(x+1)(x-1)(x-4)

Step-by-step explanation: