Answer:
[tex]x=\dfrac{-3\pm \sqrt7i}{2}[/tex]
Step-by-step explanation:
The given equation is [tex]x^{2}+3x+4=0[/tex].
We need to find the solution of the above equation.
The solution of an equation [tex]ax^2+bx+c=0[/tex] is :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
We have, a = 1, b = 3 and c = 4
[tex]x=\dfrac{-3+ \sqrt{(3)^2-4(1)(4)} }{2}, \dfrac{-3- \sqrt{(3)^2-4(1)(4)} }{2}\\\\=\dfrac{-3+\sqrt{9-16}}{2}, \dfrac{-3-\sqrt{9-16}}{2}\\\\=\dfrac{-3\pm \sqrt7i}{2}[/tex]
So, the solution of the given equation is [tex]\dfrac{-3\pm \sqrt7i}{2}[/tex].
Pablo Picasso obtained a loan of $2,400 to install a new roof on his home. The interest rate is 12% and the monthly payment is $113.04. What is the interest on the first monthly payment?
A) $24.00
B) $25.04
C) $29.90
D) $32.01
Question 1 (3 points)
Match the compisite figures to it's area.
For any composite figures including circles, use 3.14 for \large \pi
Column A
1.
:
2.
:
3.
:
Column B
a.151 cm squared
b.4846.40 cm squared
c.156 cm squared
d.1,379.84 cm squared
e.1,285.64 cm squared
f.114 cm squared
g.Answer not given
h.576 cm squared
i.72 cm squared
j.108 cm squared
k.66 cm squared
Question 2 (1 point)
a
576 sq ft
b
492 sq ft
c
472 sq ft
d
388 sq ft
Question 3 (4 points)
Find the area of the composite figures below.
Use 3.14 for \large \pi
Column A
Column A
1.
:
2.
:
3.
:
4.
:
Column B
a.91.8 in. squared
b.64 in. squared
c.59.8 in. squared
d.464 in. squared
e.99.25 in. squared
f.181.4 in. squared
g.189.25 in. squared
h.96 in. squared
i.228.5 in. squared
j.Answer not given
Answer:
a is the awnsers don't ask why
please explain and write the answer!
Answer:
You can actually draw both points in a graph to find out as it makes it easier to understand. Or you could think, if C has moved from (0,0) to (-2,3). It means it moves to the left of the x axis by 2, then moves up by 3 on the y axis.
So point P should move the same way. (-3, 4) move by -2 on the x axis would make it -5, and for y you go up 3 steps so 4+3=7 making P's final location (-5,7)
24 students took a test, 14 students got an a, 10 got a b, a student will be randomly chosen. what is the probabillity that the student earned an a?
enter answer in simplist form, as a fraction.
PLEASE ANSWER ASAP!
Answer:
7/12
Step-by-step explanation:
14/24 people have an a divide by 2 to simplify
bill spent less than $26 on a magazine and five composition books. the magazine cost $4. write an inequality to represent the situation and then solve the inequality to find the maximum cost of each composition books.
Answer:
6.5
Step-by-step explanation:
Martin is ordering dvds online. Each dvd is priced at $8.50. The website also charges a flat fee of $5.00 fo shipping and handling for any size order. If Martin decides to spend no more than $56, how many dvds can he buy
Answer:it’s A
Step-by-step explanation:
I got It right on test
What is 78.74 rounded to the nearest tenth
Answer: 78.74 is closer to 80 than 70. The answer is 80
Step-by-step explanation:
What is the volume of the toy top pictured below?
Answer:
The volume of the top toy is 67.1175 cubic feet
Step-by-step explanation:
The toy top is a composite figure of a cylinder and an hemisphere, the volume of the figure is therefore, the sum of the volume of the cylinder and the hemisphere
The dimensions of the cylinder are;
The height of the cylinder = 6 feet
The diameter of the cylinder, [tex]D_{cylinder}[/tex] = 1.5 feet
Therefore, the radius of the cylinder, [tex]r_{cylinder}[/tex]= 1/2 × [tex]D_{cylinder}[/tex] = 1/2 × 1.5 ft. = 0.75 ft.
The volume of the cylinder = Area of the base × Height = π × [tex]r_{cylinder}^2[/tex] × (The height of the cylinder)
Where;
π = 3.14
∴ The volume of the cylinder = 3.14 × (0.75 ft.)² × 6 ft.= 10.5975 ft.³
The dimensions of the hemisphere are;
The diameter of the hemisphere, [tex]D_{hemispher}[/tex] = 6 feet
Therefore, the radius of the hemisphere, [tex]r_{hemisphere}[/tex]= 1/2 × [tex]D_{hemispher}[/tex] = 1/2 × 6 ft. = 3 ft.
The volume of the hemisphere = 2/3×π×[tex]r_{hemisphere}^3[/tex]
∴ The volume of the hemisphere = 2/3 × 3.14 × (3 ft.)³ = 56.52 ft.³the
The volume of the top toy = The volume of the cylinder + The volume of the hemisphere
∴ The volume of the top toy = 10.5975 ft.³ + 56.52 ft.³ = 67.1175 ft.³.
Keystones tomorrow please help. Last options are B.400 C.600 D.2500
Answer:
b = 600 ft.
Step-by-step explanation:
A company's stock was selling at $28 a share. A month later it was selling at $21 a share. What is the percent loss?
Answer:
25%
Step-by-step explanation:
[tex]percentage \: loss \\ \\ = \frac{28 - 21}{28} \times 100 \\ \\ = \frac{7}{28} \times 100 \\ \\ = \frac{1}{4} \times 100 \\ \\ = 25\% [/tex]
A small business plans to order carpet for 4 identical offices. The floor of each office is 7.2 feet long and 5.8 feet wide. What is the total area?
The total area of office that the small business needs to carpet is 174ft^2
What is the area of rectangle?The area of the rectangle is the region enclosed by the perimeter of the rectangle and is equal to product of length and width. The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'.
So, the Area of Rectangle = (a × b) square units.
The area of a rectangle is length ✕ width.
So, width = area/length
length = 7.2 ft
width = 5.8ftnumber of office = 4
Area of one office = 7.2 * 5.8 Area of one office = 43.5ft^2
The total area of the four offices will be 43.5 * 4 = 174ft^2
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PLEASE ANSWER ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
1.5*2.5 = 3.75
15/4 = 3.75
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!
The number of blood donors at an annual drive increased this year by 20% from last year. If there were d donors last year, write two different expressions for the number of donors this year. Select all that apply
A. 1.20d
B. d+0.20d
C. d - 0.20d
D. 0.80d
Answer:
A and B
Step-by-step explanation:
Use <, >, or = to compare the following
8 and -8
-1 and -12
Answer:
8 > -8. -1 > -12
Step-by-step explanation:
8 would be larger because its positive.... and -1 would be larger becasue it is closer to the positives
A bike path is 8 miles. Max is 40% of the way to the end. How far is max on the path?
The growth of a sample of bacteria can be modeled by the function bt=1001.06t where b is the number of bacteria and t is time in hours. What is the number of total bacteria after 3 hours?
Given:
The growth of a sample of bacteria can be modeled by the function
[tex]b(t)=1001.06t[/tex]
where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,
[tex]b(t)=1001.06t[/tex]
where, b is the number of bacteria and t is time in hours.
Substituting t=3, we get the number of total bacteria after 3 hours.
[tex]b(3)=1001.06(3)[/tex]
[tex]b(3)=3003.18[/tex]
Number of bacteria cannot be decimal value. So, approximate the value to the nearest whole number.
[tex]b(3)\approx 3003[/tex]
Therefore, the number of total bacteria after 3 hours is about 3003.
What is the equation of the line whose Y intercept is 3 and slope is 1?
A) Y=x-3
B) Y=x+3
C) Y=3x+1
Answer:
y=x+3
Step-by-step explanation
The slope intercept form equation is y=mx+b. m is the slope and b is the y intercept. In this scenario, plug it back in to m and b. m=1 and b=3 so it would be y=1x+3. However, we don't include the one so it would just be y=x+3
Are Linear Pairs congruent all the time on a transversal line?
Answer:
yes
Step-by-step explanation:
When a transversal cuts parallel lines, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent.
What is 0.80 as a fraction?
Answer:
just type it into ur web browser and you can get the answer
Step-by-step explanation:
thats what i do <3
How much will Bill pay in Medicare if he makes $100,000 next year?
Answer:
what are the answer questions?
Step-by-step explanation:
?????????????
A chess team is ordering customized T-shirts for a competition. The table shows the cost of orderi
Number of T-shirts, 6 12 18
24
Cost (dollars), y
108
180
252
324
A linear model is yr
Answer:
12x+36
Step-by-step explanation:
If we subtract 36 from all 4 y's we get 72, 144, 216, and 288. We divide each one by 6, 12, 18, and 24. After we divide them up, we get 12 for each one. Now we need to set the equation up, it has to be 12x because the price of just one T-shirt is $12, the x is how many T-shirts are bought. The 36 is the b-intercept of the equation, and since we write this in y=mx+b, the equation is y=12x+36.
A linear model will be 12x+36.
What is a linear model?A linear model specifies a linear relationship between a dependent variable and n independent variables.
Given that, A chess team is ordering customized T-shirts for a competition. The table shows the cost of ordering
Number of T-shirts, 6 12 18 24
If we subtract 36 from all 4 y's we get 72, 144, 216, and 288. We divide each one by 6, 12, 18, and 24. After we divide them up, we get 12 for each one. Now we need to set the equation up, it has to be 12x because the price of just one T-shirt is $12, the x is how many T-shirts are bought. The 36 is the b-intercept of the equation, and since we write this as y=mx+b, the equation is y=12x+36.
Hence, A linear model will be 12x+36.
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When we compare two fractions with the same numerator, which
statement below is true?
А
The fractions with the same
numerators are the same.
11
The fraction with the smaller
denominator is the larger fraction.
C
The fraction with the larger
denominator is the larger fraction.
D.
We cannot say which is larger or
smaller than the other.
Answer:
The fraction with the smaller denominator is the larger fraction.
Step-by-step explanation:
Let's take [tex]\frac{5}{6}[/tex] and [tex]\frac{5}{10}[/tex]. The larger the denominator, the more the number of pieces. So if you have a pizza box divided into 6 slices, and they are all the same size, compared to that same box of pizza divided into 10 slices. Each of those 10 slices will be smaller than the 6 slices. Now if you eat 5 of the 6 slices, compared to if you eat 5 of the 10 slices, which one will make you more full and you know that you have eaten a lot? Of course, it is the 5 out of 6 slices because each of those slices is bigger. So the smaller the denominator of the fraction, the larger it is (if the numerator stays the same).
3 x 3 x 3 cube is painted and it is cut into 27 cubes how many small cubes will have paint on exactly two faces
Answer:
12
Step-by-step explanation:
See attached picture. We have a 3x3x3 cube. If we cut it into 27 cubes, we will end up with a rubik's cube like cube. Each of the small cubes will measure 1x1x1. So if we pay close attention to the cube, we will see that only the cubes on the edges will have two of its faces painted in two colors. We can think of the cube as having three layers. Each of the layers will have 4 edge cubes, so we will have in total:
3x4=12 cubes that will have only two of its faces with paint on them.
A $61.50 video game is 78% off. How much do you pay?
PLEASE HELP ME
Answer:
$13.53
Step-by-step explanation:
78% off means you are paying only 22% of 61.50
.22 x 61.50 = 13.53
or
find 78% of 61.50 (it's 47.97) and deduct that value from 61.50
I need it step by step please
Answer:
The equation of the line passes through (3, -2) and parallel to the given line:
[tex]y = 3x-11[/tex]The equation of the line passes through (3, -2) and perpendicular to the given line:
[tex]y=-\frac{1}{3}x-1[/tex]Step-by-step explanation:
Given the points on the graph line
(2, -1)
(1, -4)
Finding the slope between (2, -1) and (1, -4)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]
[tex]m=\frac{-4-\left(-1\right)}{1-2}[/tex]
[tex]m=3[/tex]
Equation of the line passes through (3, -2) and parallel to the given line.
We know that parallel lines have the same slope.
so the equation of the line parallel to the given line = 3
Thus, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 3 and the point (3, -2)
[tex]y - (-2) = 3(x-3)[/tex]
[tex]y+2 = 3x-9[/tex]
[tex]y = 3x-9-2[/tex]
[tex]y = 3x-11[/tex]
Therefore, the equation of the line passes through (3, -2) and parallel to the given line:
[tex]y = 3x-11[/tex]
The equation of the line passes through (3, -2) and perpendicular to the given line
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 3
perpendicular slope = – 1/m = -1/3 = -1/3
Therefore, substituting the values of perpendicular slope = -1/3 and the point (3, -2) in the point-slope form of the line equation
[tex]y-\left(-2\right)=-\frac{1}{3}\left(x-3\right)[/tex]
[tex]y+2=-\frac{1}{3}\left(x-3\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=-\frac{1}{3}\left(x-3\right)-2[/tex]
[tex]y=-\frac{1}{3}x-1[/tex]
Therefore, the equation of the line passes through (3, -2) and perpendicular to the given line:
[tex]y=-\frac{1}{3}x-1[/tex]
Conclusion:
The equation of the line passes through (3, -2) and parallel to the given line:
[tex]y = 3x-11[/tex]The equation of the line passes through (3, -2) and perpendicular to the given line:
[tex]y=-\frac{1}{3}x-1[/tex]Jim bought a meal in a town that has no sales tax. He tlps 15%. Select all the meals Jim could buy for less than or equal to $30 total.
Jim bought a meal in a town that has no sales tax. He tlps 15%. All the meals Jim could buy for less than or equal to $30 total are $20.54 meal and $26.08 meal.
A baseball team has a 20-person roster. A batting order has nine people. How many different batting orders are there
Answer:
60,949,324,800
Step-by-step explanation:
We solve the above question using Permutation formula
The formula for Permutation =
nPr = n!/(n - r)!
Total Amount in a Set (n) = 20 persons
Amount in each Sub-Set (r) = 9 batting order
Hence:
20P9 = 20!/(20 - 9)!
= 60,949,324,800
Therefore, the different batting orders they would have are: 60,949,324,800
£800 share in to 3:13:18
Answer:
60,260,360
Step-by-step explanation:
pretty sure this is it PLEASE GIVE ME BRAINLIEST IM DESPERATE
Answer:
See below
Step-by-step explanation:
I think ratio is different, it should be 9:13:18
I'll answer both options
Ratio of 3:13:18800 = 3x + 13x + 18x800 = 34xx = 800/34x = 23 18/34 = 23 9/17Shares are:
3*23 9/17 = 69 27/17 = 70 10/17 or 70.5913*23 9/17 = 299 117/17 = 305 15/17 or 305.8818*23 9/17 = 414 162/17 = 423 9/17 or 423.53Ratio of 9:13:18800 = 9x + 13x + 18x800 = 40xx = 20Shares are:
9*20 = 18013*20 = 26018*20 = 360Pleas help!!!
Rewarded brainly
Answer:
whats up
Step-by-step explanation:
Answer:
With what?
Step-by-step explanation:
Meters using decimal
a) 670 cm
b) 12m 7cm
c) 86cm
Answer:
I assume we are converting to meters so
a) 6.7 m
b) 12.07 m
c) 0.86 m
Step-by-step explanation:
To convert cm to m you divide the cm value by 100