Answers
Answer:
Questions:
#1) one complex solution
#2) two solutions
#3) one complex solution
#4) one solution
Step-by-step explanation:
1) x² = -100; x = 10i
2) 5x² = 1; x = ±[tex]\sqrt{1/5}[/tex]
3) 6x² + 6 = 0; x = i²
4) 7(x² + 6) - 42 = 0; x = 0
Related Questions
pls help 209572.999129 round to the nearest cent
Answers
Answer:
$209,573.00
Step-by-step explanation:
when rounding to a place, you only need to look at the numbers one place beyond the place you are rounding to. For example, if you want to round 0.878 to the nearest tenth, you only need to look at 0.87, since both 0.87 and 0.878 round to 0.9. In this case, you are rounding to the nearest hundredth because one cent represents one hundredth of a dollar. You only need to look at 209572.999. Since the last digit is 9, which is greater than 5, you round up to 209573.00.
hope this helps please lmk if its wrong :)
write the equation of an exponential function that passes through the points (2,48) and (5,750).
Answers
Substitute in the values:
750 = a * b5
and
48 = a * b2
Then divide the two equations:
750/ 48 = (a * b5) / (a * b2)
So:
15.625 = b3
Take the cube root of both sides:
2.5 = b
Now, substitue b into one of the equations (the one with 48 has smaller numbers and is easier to work with.)
48 = a * 2.52
Simplify.
48 = a * 6.25
Divide both sides by 6.25
7.68 = a
Now substitute in a and b to write the exponential function:
y = 7.68 * 2.5x
The equation of an exponential function will be y = 7.68 × 2.5ˣ.
What is equation of line?
The equation of line with slope m and passes through the point (x₁, y₁) is calculated as;
y - y₁ = m (x - x₁)
Given that;
An exponential function passes through the points (2, 48) and (5, 750).
Now, The exponential function is;
y = abˣ
Where, a and b are unknowns.
Hence, For the point (2, 48), we get the equation;
48 = ab² .. (i)
And, For the point (5, 750), we get;
750 = ab⁵ .... (ii)
Solve the equation (i) for value of a, we get;
48 = ab²
a = 48/b²
Substitute in equation (ii);
750 = ab⁵
750 = (48/b²) b⁵
750 = 48 b³
b³ = 750/48
Take cube root both side;
b = 5/2
Hence, a = 48/b² = 48/(5/2)²
a = 48 × 4 / 25
a = 7.68
Thus, After substitute the value of a and b we get the exponential equation as;
y = 7.68 × 2.5ˣ
Therefore, The equation of an exponential function will be,
⇒ y = 7.68 × 2.5ˣ.
Learn more about the exponential function visit:
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If Debbie starts a retirement account with $100 that has an annual rate of return of 8%, how long (in years) would it take for her to
have at least $100,000 if interest is compounded continuously?
A) 1 year
B) 8 years
C) 87 years
D) 90 years
Answers
Answer:
C.) 87 years
Step-by-step explanation:
I've taken the test! Hope this helps! ;)
The number of years for her to have at least $100,000 if interest is compounded continuously is 90
How to determine the number of years?The given parameters are:
Amount, A = 100,000
Principal, P = 100
Rate, r = 8%
Amount is calculated using:
A = P * (1 + r)^t
So, we have:
100000 = 100 * (1 + 8%)^t
Divide by 100
1000 = (1 + 8%)^t
Evaluate the sum
1000 = 1.08^t
Take the logarithm of both sides
log(1000) = log(1.08)^t
Apply the law of logarithm
log(1000) = tlog(1.08)
Solve for t
t = log(1000)/log(1.08)
Divide
t = 89.7
Approximate
t = 90
Hence, the number of years is 90
Read more about compound interest at:
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Arc CD is [tex]\frac{2}{3}[/tex] of the circumference of a circle. What is the radian measure of the central angle?
a.) [tex]\frac{2\pi}{3}[/tex]
b.) [tex]\frac{3\pi}{4[/tex]
c.) [tex]\frac{4\pi }{3}[/tex]
d.) [tex]\frac{3\pi}{2}[/tex]
Answers
Answer:
b
Step-by-step explanation:
Find sin x, sin z, cos x, and cos z. Write each answer as a simplified fraction
Answers
Answer:
sin x=55/73
Sinz=48/73
cosx=48/78
cosz=55/73
Step-by-step explanation:
Using SOHCAHTOA
Can you please help me
Answers
Answer:
it would be the first one because it has a value of 1,966. and the second one has a value of 983 so the first one would be the one with the greater value
6x-4(3x-5)=2 solve for x.
Answers
Answer:
x = 3
Step-by-step explanation:
6x -4(3x-5) = 2
6x - 12x + 20 = 2
-6x = 2 - 20
-6x = -18
x = 3
Find the volume. Answer without units. *
2
4- in
5
3 in
3
16 - in
4
Answers
Answer:
the answer is 221.1
Step-by-step explanation:
The volume of the rectangular prism is 221.1 in³.
What is volume?The volume of any object defined the capacity of it, how much it can hold something is called its volume.
Given is rectangular prism, we need to find the volume of the same,
So, we know that the volume of a rectangular prism is the product of its dimensions.
V = length × width × height.
[tex]V = 16\frac{3}{4} \times 4\frac{2}{5} \times 3[/tex]
[tex]V = \frac{67}{4} \times \frac{22}{5} \times 3[/tex]
V = 4422/20
V = 221.1
Hence, the volume of the rectangular prism is 221.1 in³.
Learn more about volumes, click
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A sporting goods store sells two types of snowboards. Brand S sells for $309. Brand B sells for $489. Last month, the store sold 11 snowboards for $4299. How many of each type of snowboard were sold?
Define each variable.
Set up the system of equations for the situation.
Solve the system using the substitution method. Be sure to express your final answer with the correct units.
Answers
Let B be the number of Brand B snowboards sold.
309S + 489B = 4299
S + B = 11
S = 6 snowboards sold
B = 5 snowboards sold
Alan used 9 as a estimate for 3 7/10+5 4/10 He added and got 9 1/10 for the actual sum.Is Alan answer reasonable?
Answers
3 7/10 + 5 4/10 = 8 11/10 = 9 1/10
so estimate = 9
actual answer = 9 1/10
yes, his answer is reasonable
brainliest or a thank you please :)) <33
what is 4(11h +3g)?????
Answers
Answer:
[tex]12g+44h[/tex]
Step-by-step explanation:
Step 1: Rearrange terms
[tex]4(11h+3g)\to4(3g+11h)[/tex]
Step 2: Distribute
[tex]4(3g+11h)\to12g+44h[/tex]
Answer:
44h+12g
Step-by-step explanation:
Okay, so, this a standard algebraic expanding problem, so:
We take our 4(11h + 3g)
because we have parenthesis, we have to distribute the 4:
4 x 11h + 4 x 3g = 44h + 12g
So, 4(11h + 3g) expanded is 44h + 12g
hope this helps:)
I'll mark you brainliest if your correct
Answers
Answer:
The answer is 7
Step-by-step explanation:
on the graph number 6 is spun at 7
ѕєє thє híght σf вαr αt 6!! whαt'ѕ thє hєíght? σвvíσuѕlч ít'ѕ 7
í hσpє чσu gєt ít :)
The ratio of melanie's allowance to jacob's allowance is 4.1 to 20.5. If Jacob gets $5.00,how much allowance does melanie get?
Answers
Answer:
1.00
Step-by-step explanation:
x=(5*4.1)20.5
x=1
Mikhaila had 9 meters of ribbon. She cut it into pieces that were each
1/3 meter long with no ribbon left over. What was the total number of
1/3 meter pieces she made?
Answers
Answer:
klfajndxjfasisfcbweauorfochwszhfshsfqsahfwhnlsljfjlashegfchdhefgwsdgrvefdcgbvdqjejjsjjjdkdkk112132w434
Step-by-step explanation:
5uwsuhsrhudhusfhushzoihflishhghwslhkfwdilhtfhwhshfhhwajzhfshadzkhfcshfuhu3eyryyaurjfsdajsfjfjdgagdgsgafdfzdUDSIUIYAYIODQALHPOEPOWIAYISDHAZAHDCGUQEIUSD8RFHGSHXARAGIUROIHTNDAUFCISBQ3AYHQWEID
Answer:
3 meter
Step-by-step explanation: it ez
8x-10=x^2+5 solve using quadratic
Answers
x = 5 , 3
two solutions
Answer:
x=5,3
Step-by-step explanation:
Given cos x = 3/5 and 3pi /2 < x < 2 and sin y = ─ square root 2/2,
and < y < 3pi /2; evaluate tan (x ─ y).
Answers
Answer:
Step-by-step explanation:
Can somebody plz help me with surveys in math?
Answers
hELP
Which equation below would have a y-intercept at (0,7) and open downward? Question 1 options: y = 7x2+16x+26 f(x) =−x2−7x−11 f(x)=−3x2+16x+7 y =7x2+7x−7
Answers
Select all of the following answer choices that are reciprocals of each other.
A. 2 and 1/2
B. -5 and 5
C. -7 and -1/7
D. 3 and 4
Answers
Which box plot matches the data set?
34, 36, 41, 45, 49, 50, 51, 52, 56, 59
For the state of said the first quartile is 41, The median is 49.5 and the third quartile is 52.
Please help I will give Brainless
Answers
Answer:
Step-by-step explanation:
34, 36, 41, 45, 49, 50, 51, 52, 56, 59
Yes, the median is 49.5, Q1 is 41, Q3 is 52 (I always have to check)
So the box should start at Q1, end at Q3, and have it's middle line on the median. For this data set, box should start on 41, end on 52, and have its inner line on 49.5.
Of your choices, that's option C.
Please let me know if you have questions.
Find the solution to the system of equations.
x + 3y = 4
2x + 5y = 12
A. (3.8)
B. (-8,4)
C. (16,-4)
D. (1.2)
E. (-1,-2)
Answers
Answer:
C (16,-4)
Step-by-step explanation:
16+3*-4=4
16+(-12)=4
16-12=4
4=4
2*16+5*-4=12
32+(-20)=12
32-20=12
12=12
.Simon makes a profit of $1.35 on each hot dog he sells. If a hot dog costs him $0.85 to make, how much does Simon sell for each hot dog?
Answers
Answer:
2.2 $
Step-by-step explanation:
profit= 1.35 $
cost= 0.85 $
Price= profit+cost
P=1.35+0.85
P=2.2 $
find the angle sum of polygon which had 9 sides
Answers
Answer:
1260°
Step-by-step explanation:
Number of sides was given as 9, hence ( n= 9)
Sum of interior angle of a polygon can be determined using the expression below
[(2n-4)90°]
Substitute n=9
[((2×9) -4)) ×90]
= [(18-4)×90]
(14×90)=1260°
Hence, angle sum of polygon which had 9 sides is 1260°
I need the Area and Perimeter.
Answers
Answer:
540
Step-by-step explanation:
Answer:
The perimiter is 22. Just add the L+W
Step-by-step explanation:
L+W (length + width is how you find perimiter. in this question just add 10+12 and you get 22. I cant help with the area though
find the volume of the composite figure shown
Answers
Answer:
The volume is 64 in³
Step-by-step explanation:
You split the rectangles apart and multiply the length times width times height so I got 32 for both of them and added it to get 64.
351 students in 27 classes _____ students in each class
Answers
Answer:
13
Step-by-step explanation:
351 divided by 27 = 13
351 divided by 27 = 13
Plz help fast will mark brainliest!!!
Answers
I think it is 457.333333 π m3
Hope this helped :T
Answer:
1436.76
Step-by-step explanation.
[tex]\frac{4}{3}\pi r^{3}[/tex]
that is the formula, with r being the radius.
then if you replace r with 7 that would be the answer.
pi, also equals 3.14159265359, or shortened 3.14.
so it would look like:
[tex]\frac{4}{3}*3.14*7^{3}[/tex]
Help not much time left its due in 20 mins
Answers
Answer:
The slope is 2/3
Step-by-step explanation:
To get from one dot to the next...
You go up 2 units and to the right 3 units
What is the value of x?
Answers
Answer:
The answer is 25.1 or just 25 which ever way they are asking for it
Step-by-step explanation:
Hope that helps
FYI you just need to use the Pythagorean theorem to solve this
A^2 + B^2 = C^2
Please answer correctly !!!!!
Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
4:6 I think sorry if wrong
Step-by-step explanation:
Answer:
2 to 3. Or 2:3
Step-by-step explanation:
There are 4 triangles to every 6 squares
Their GCF is 2 so divide by 2 to get 2:3
