Evaluate the expression: -4a2 + 3ab - (2a + 3b) if a = 1/4 and b = -12
Enter answer as a decimal.

Answers

Answer 1

Answer:

Value of equation = 26.25

Step-by-step explanation:

Given:

Equation given

-4a² + 3ab - (2a + 3b)

Given value of a = 1/4

Given value of b = -12

Find:

Value of equation

Computation:

-4a² + 3ab - (2a + 3b)

By putting value of a and b

-4(1/4)² + 3(1/4)(-12) - [2(1/4) + 3(-12)]

-4(1/16) - (36/4) - [2/4 - 36]

-4/16 - 36/4 - [-142/4]

- 0.25 - 9 + 142/4

-0.25 - 9 + 35.5

Value of equation = 26.25


Related Questions

Use powers of 10 to complete the table of equivalent expressions.​

Answers

Answer:

1. 10^7

2. 10^-3

3. 10^-1

4. 10^2

The table below shows the amount of rainfall in Maryville during each week of April. What was the total amount of rainfall in the month of April?
Week 1: 2 2/3
Week 2: 1/8
Week 3: 1 3/4
Week 4: 1/2

Answers

Answer:

Step-by-step explanation:

Just add the fractions after finding the common denominator  3 times 8 = 24

Please check my math and typing for accuracy.

Week 1: 2 2/3       =  8/3  x  8/8            =   64/24

Week 2: 1/8          =  1/8   x  3/3            =   3/24

Week 3: 1 3/4       =  7/4  x  6/6            =   42/24

Week 4: 1/2          =   1/2  x  12/12         =   12/24

                                                              =   (64+3+42+12)/24

                                                              =    121/24        24 times 5 = 120

                                                              =    5 1/24

Recall that if there is an intruder, system A sounds an alarm with probability 0.9 and system B sounds an alarm with probability 0.95. If there is no intruder, system A sounds an alarm with probability 0.2 an system B sounds an alarm with probability 0.1. Now assume that the probability of an intruder is 0.4. Also assume that under a given condition (intruder or not), systems A and B operate independently. If both systems sound an alarm, what is the probability that an intruder is detected

Answers

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bit.[tex]^{}[/tex]ly/3a8Nt8n

line q has a slope of 5/6 line r is a perpendicular to q what is the slope of line r

Answers

Answer:

y=13

Step-by-step explanation:

ndnjekskssj unlock ignition

Answer:

-6/5

Step-by-step explanation:

In order to find the slope of a line perpendicular to another, you have to take the negative reciprocal.

This basically means that you multiply the slope by -1 and flip it, switch the numerator and denominator, find the reciprocal, whatever you want to call it. (but reciprocal is the proper term for it)

In this case, after multiplying it by -1, it would be -5/6, and taking the reciprocal would make it -6/5.

Jeremy drew a figure that is parallelogram but not a rectangle

Answers

Answer:

2 acute angles and 2 obtuse angles (D)

2 pairs of parallel sides

What is 38,807 rounded to the nearest thousand?

Answers

Answer:

that would be 39,00

Step-by-step explanation:

Answer:

39,000

Step-by-step explanation:

807 is closer to 1,000 then 0 so add another 1,000.

Have a great day!

Does anyone know what the answer please?

Answers

Answer:

<1 = 76

Step-by-step explanation:

<1 + 51 + 53 = 180

<1 + 104 = 180

<1 = 180 - 104

<1 = 76

12 The points (-15, -3) and (-7, -1) both lie
in the graph of the linear function
y = f(x). What is the rate of change of
f(x) with respect to x?

Answers

  rate of change is 1/4

Step-by-step explanation:

10 Points Please help me

Answers

4/5 should be the answer

If the area of a right-angled triangle is 47 56 cm and its height is 11.6 cm. finds its base.​

Answers

Answer:

820          

Step-by-step explanation:

Hi so if your area is 4756, the base would be 820

I just need help with this is anyone can help I would be happy Thx

Answers

Answer:

24 sq cm

Step-by-step explanation:

the big square is 20 and the small one is 4

The answer is 24
5•4=20
2•2=4
20+4=24.
I hope that’s help





Tucker purchased $4,600 in new equipment for a catering business. He estimates that the value of the equipment is reduced by approximately 40% every two years. Tucker states that the function V(t)=4,600(0.4)2t could be used to represent the value of the equipment, V, in dollars, t, years after the purchase of the new equipment. Explain whether the function Tucker stated is correct, and, if not, determine the correct function that could be used to find the value of the equipment purchased.

Answers

Answer:
The function stated by Tucker is incorrect.
V(t) = 4600(0.8)^t
Step-by-step explanation:
Given the function :
V(t)=4,600(0.4)2t
The initial value of equipment = 4600
Decay rate = 40% of very 2 years
The value of equipment t years after purchase
The exponential decat function goes thus :
V(t) = Initial value * (1 - decay rate)^t
The Decay rate per year = 40% /2 = 20% = 0.2
V(t) = 4600(1 - 0.2)^t
V(t) = 4600(0.8)^t

What is the equation of a line with a y-intercept at (0, 2) and a slope of 3?
a. y = 2x + 3
C. y = 3x + 2
b. y = 3x - 2
d. y = -2x + 3

Answers

Answer:

answer is C

the slope is 3 and the intercept is (0,2) which is 2

help help please i did not understand

Answers

Answer:

The tree grows 3,14 centimeters per year

Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.

Step-by-step explanation:

The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1271 1187 1194 1250 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)

Answers

Answer:

The sample mean year is 1261 A.D.

The standard standard deviation is of 46 A.D.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]x = \frac{1271+1187+1194+1250+1268+1316+1275+1317+1275}{9} = 1261.4[/tex]

Rounding to the nearest whole number, the sample mean year is 1261 A.D.

Sample standard deviation:

Square root of the sum of the difference squared between each value and the mean, divided by one less than the sample size. So

[tex]s = \sqrt{\frac{(1271-1261.4)^2+(1187-1261.4)^2+(1194-1261.4)^2+(1250-1261.4)^2+(1268-1261.4)^2+(1316-1261.4)^2+(1275-1261.4)^2+(1317-1261.4)^2+(1275-1261.4)^2}{8}} = 45.8[/tex]

Rounding to the nearest whole number, the standard standard deviation year is of 46 A.D.

What are the factors of 25x^2 – 9y^2?

A. (x-9y)(25x+y)
B. (x+9y)(25x-y)
C. (5x-3y)(5x-3y)

Answers

It’s C
Hope it helps

A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?

Answers

The length of each side of a square is 10 cm.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, the perimeter of a rectangle is 2(length×width) and the perimeter of a square is 4×(side).

Given, The length and width of the rectangle are 13cm and 7 cm respectively.

Therefore, the perimeter of the rectangle is = 2(13×7) = 2×20 = 40 cm.

So, The perimeter of the square is also 40 cm.

Therefore, The length of the side is 4×side = 40.

side = 40/4.

side = 10 cm.

learn more about squares here :

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What is the volume of this container?

Answers

Answer:

420

Step-by-step explanation:

Select the correct answer.
f(x)=21 + 3?
41 – 8
Which graph shows the asymptotes of the function

Answers

Answer:

answer is b jejejejsjsjwj

Find the measure of A as indicates in the picture.

In case the picture blurs

Top angle = x + 63

Left angle = x + 96

Right angle = x + 149

Answers

Answer:

∠A = 58°

Step-by-step explanation:

all triangles contain 180°

180° - 149° = 31°

x + 63° + x + 96° + 31° = 180°

combine like terms:

2x + 190° = 180°

2x = -10°

x = -5°

∠A = -5° + 63° = 58°

Which of the following equations is true? 3 + 1 = 3 . 0










Answers

You only put one equation in

3 m
150°
3. What is the area of the sector outlined by the dark line?
a. 150 m
b. 28.3 m
c. 11.8 m²
d. 3 m

Answers

Answer:

Area of sector = 11.8 m² (Approx.)

Step-by-step explanation:

Given:

Radius of a circle = 3 m

Given angle = 150°

Find:

Area of sector

Computation:

Area of sector = [θ/360][π][r]²

Area of sector = [150/360][22/7][3]²

Area of sector = [150/360][22/7][9]

Area of sector = [150/360][3.1428][9]

Area of sector = [0.4167][3.1428][9]

Area of sector = [1.345][9]

Area of sector = 11.789

Area of sector = 11.8 m² (Approx.)

Can someone please Helppp

Answers

Answer:

3, 4, 5

Step-by-step explanation:

check the coordinates

A rectangle has side lengths of 3 inches and square root 5 inches. Which statement
must be true
about the area of the rectangle?

Answers

Answer:

B

Step-by-step explanation:

Firstly, we will take a look at the equation and the options listed to choose from.

Secondly, we notice these options are reffering to rational and irrational numbers.

A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.

As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.

.............................................................................................................

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)

B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.

According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.

By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.

[tex]A = (3)\cdot \sqrt{5}[/tex]

[tex]A = 3\sqrt{5}[/tex]

Hence, the right answer is B.

We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650

6 (x+3) < 3(2x+6)
What is x ?

Answers

Answer:

no solution

Step-by-step explanation:

6x + 18 < 6x + 18

0 < 0 is not a true statement, no solutions

Mrs. Rhodes is building the ramp shown below and she wants to paint it blue. How much paint will she need to cover the entire surface?

Answers

Answer:

2/3 of paint I believe because of the amount shown

Five surf shops sell the same pair of flip-flops for the following prices: $17.00, $15.50, $15.00, $18.00, $15.00. Find the mean, median, and mode of the data to determine which measure of center and which measure of variability best describe the data.

The mean is $
. The median is $
. The mode is $
.

The
best describes the data, so the
is the better measure of variability.

Answers

Answer:

Mean: $16.1

Median: $15.00

Mode:$15.00

The mode best describes the data, so the mean is the better measure of variability.

Step-by-step explanation:

How to find the mean:

Add up each value on the data set, then divide it by the number of values on the data set. (Example: $17.00 + $15.50+$15.00+$18.00+$15.00= 80.5/5=16.1)

How to find the median: Order your values from least to greatest, then find the value in the center.

How to find mode: Look for the most frequent value in the data set. What value shows up the most?

Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].

Here, the mode best describes the data, so the mean is the better measure of variability.

What is the mean, median, mode?

Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value.

Here given data is

$[tex]17.00[/tex], $[tex]15.50[/tex], $[tex]15.00[/tex], $[tex]18.00[/tex], $[tex]15.00[/tex]

Here,

Mean is the sum of all values divided by number of observation

i.e,

[tex]\frac{17.00+15.50+15.00+18.00+15.00}{5}=\frac{80.5}{5}\\\\\\=16.1[/tex]

Median is the middle value of the data, firstly we arrange the data in ascending order

[tex]15.00,15.00,15.50,17.00,18.00[/tex]

So, the middle value is [tex]15.50[/tex] $.

Mode is the repetition of the same number in the data

[tex]15.00,15.00,15.50,17.00,18.00[/tex]

Then, [tex]15.00[/tex] is the mode of the given data.

Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].

Here, the mode best describes the data, so the mean is the better measure of variability.

To know more about the mean, median and mode

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im not understanding this and its making me frustrated can u help me?​

Answers

Answer:

B

Step-by-step explanation:

If the dot it open, it does not include the number. If the dot is shaded, it does include the number. Whichever way the orange line is pointing, corresponds to < or >.

4-5c=6+9(8-7c)

State if it has one no or infinite solutions

Answers

Answer:

It has one solution.

Step-by-step explanation:

c = 37/29.

Given g(x) = -5x – 4, solve for x when g(x) = 1.

Answers

Answer:

g (1) = -5(1) -4

-5-4

-9............. .......

Step-by-step explanation:

-5(1)-4=-5-4=-9 Answer

hope it helps

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