Answer:
Step-by-step explanation: -b ± √(b² - 4ac)
Let's solve for x using the quadratic formula x = ------------------------
2a
In this case the coefficients are 2, -7 and 9, so the discriminant, b^2 - 4ac, is (-7)^2 - 4(2)(9), or 49 - 72 = -23.
The roots (zeros) of this quadratic are thus:
-(-7) ± i√23
x = ----------------------
4
or
7 ±i√23
x = -------------------
4
POSSIBLEPOINTS TU
Find the length of the unknown side marked with a variable. Show all work.
AGHI ~ AKLJ
12
L
9
20
K
H
X
Answer:
x = 240/9
Step-by-step explanation:
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
Thus, we have it that;
GH/IH = JL/KL
x/20 = 12/9
9 * x = 20 * 12
x = (20 * 12)/9
x = 240/9
y = 5x + 18
y = -6x - 15
Answer:
y = 5x + 18.......[1]
y = -6x - 15......[2]
equating equation 1&2 we get
5x+18=-6x-15
5x+6x=-15-18
11x=-33
x=-33/11=-3
x=-3
again
y=5×-3+18=-15+18=3
so,x=-3,y=3
2y=33
y=16.5
16.5=-6x-15
16.5+15=-6x
31.5=-6x
x=-5.25
there the number of y and x are 16.5 and -5.25
7.72 = (7.7.7. (7.7) = 73 + 2 = 75
59.5% = (5.5.5). (5.5.5) = 53+ 3 = 56
34.34 = (3) (3.3.3.3) = 38
Answer:
0.0000000000000000000000000000
Step-by-step explanation:
If y = 10, g=3, find 2y - 5(g-2)
your computer has virus
What similarity statement can you write relating the three triangles in the diagram?
A chef used a diffrent amounts of milk when making pancakes 1/2 1/4 1/4 1/2 1/2 3/4 1/2 1/2 3/4 1/2 1/4 3/4 1/2 1/2
Complete question :
A chef used a diffrent amounts of milk when making pancakes 1/2 1/4 1/4 1/2 1/2 3/4 1/2 1/2 3/4 1/2 1/4 3/4 1/2 1/2.
What is the average amount of milk used for n order of pancake?
Answer:
1/2
Step-by-step explanation:
Given the data:
1/2 1/4 1/4 1/2 1/2 3/4 1/2 1/2 3/4 1/2 1/4 3/4 1/2 1/2.
The average = mean
Sum of all values in the data / size of data
Sum = (1/2 + 1/4 + 1/4 + 1/2 + 1/2 + 3/4 + 1/2 + 1/2 + 3/4 + 1/2 + 1/4 + 3/4 + 1/2 + 1/2) = 7
Size of data = 14
Hence, the average amount of milk added per order of pancake equals :
7 / 14
= 1/2
= 1/2 cups of milk per order of pancake
A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?
B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?
C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?
Please hep me i will mark as the best please....
Answer:
A) $2,344.53
B) $2,340.36
C) Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B
Step-by-step explanation:
We solve for A and B using Compound Interest formula
A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?
First, convert R as a percent to r as a decimal
r = R/100
r = 8.5/100
r = 0.085 rate per year,
Then solve the equation for A
The formula is given as
A = Pe^rt
A = 1,978.00(2.71828)(0.085)(2)
A = $2,344.53
B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?
First, convert R as a percent to r as a decimal
r = R/100
r = 8.5/100
r = 0.085 rate per year,
Then solve the equation for A
The formula is given as
A = P(1 + r/n)^nt
P = Principal = $1978
r = 0.085
n = compounded quarterly = 4
A = 1,978.00(1 + 0.085/4)(4)(2)
A = 1,978.00(1 + 0.02125)(8)
A = $2,340.36
C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?
Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B
PLSS PLSSSSS help its due in 30 minutes
Answer:
The correct statement is D
hello please help i’ll give brainliest
Answer:
-25 ,B
Step-by-step explanation:
Convert the following equation into
standard form.
y = - + 5
7x + y = [?]
please i am confused
Answer:
The answer is "7x + 9y = 45"
can you help me to answer this question ?????????
Answer:
11/45
Step-by-step explanation:
[tex]-\frac{5}{6} *\frac{2}{3} +\frac{14}{5} *\frac{2}{7} \\\\-\frac{5}{3} *\frac{1}{3} +\frac{2}{5} *\frac{2}{1} \\\\-\frac{5}{9} +\frac{4}{5} \\\\-\frac{25}{45} +\frac{36}{45} \\\\\frac{11}{45} \\\\[/tex]
Order the measurements from largest to smallest.
4.9L , 4090ml , 1.4km , 4901m
Answer:
4090 ml - 4.9L
1.4km - 4901m
Step-by-step explanation:
A liter is made up of 1000 ml so 4.9 l is equvilant to 4,900 ml.
A kilometre same as litre is made up of a 1000 m. So 1.4 km is 1400m
However, ml and l is a measurement of volume while m and km is a measurement of distance.
Six times a number is at least four less than eight times the number. If x represents the number, which will help find
the number?
6x < 8x-4
6x8x-4
6x8x-4
O 6x> 8x-4
Answer:
6x ≥ 8x - 4
Step-by-step explanation:
What is S7 for the arithmetic series: a1 = 26, d = 3, and a7 = 44
Answer:
The answer is 245
Step-by-step explanation:
For arithmetic series with n=7: S7=(a1+a7)*7/2
Thus, S7=(26+44)*7/2=245
The answer is 245
Otis has saved $18,500 so far to buy a house. He can put this amount into account that earns 5.1% simple interest, or another with 5.1% compounded annually. Which method of earning interest should he choose simpler compound and how much more interest will the account earn using that method after four years?
F. Compound interest $15,106.30
G. Simple interest $15,106.30
H. Simple interest $298.65
J. Compound interest $298.65
Answer:
J Compound interest; $298.65
Step-by-step explanation:
Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.
For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...
1.051^4 = 1.22024337
and the effective multiplier for simple interest is ...
1 +0.051·4 = 1.204
Then the difference in interest rate multiplier for the 4-year period is ...
1.22024337 -1.204 = 0.01614337
That fraction of the $18500 principal is $298.65.
Compound interest earns $298.65 more than simple interest in this scenario.
Hope this helps, have an amazing day!
If B = w + 10 and C = -w - 1, find an expression that equals B + 2C in standard form
Answer:
Step-by-step explanation:
B + 2C
= w + 10 + 2(-w - 1)
= w + 10 -2w - 2
= -w + 8
x - 3/5 = 1 2/5
what does x equal
Answer:
2.8 or 2[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
1[tex]\frac{2}{5}[/tex]
5*2
=10
10 + 1
= [tex]\frac{11}{5}[/tex]
[tex]\frac{11}{5}[/tex] + [tex]\frac{3}{5}[/tex]
[tex]\frac{14}{5}[/tex]
x = 2.8 or 2[tex]\frac{4}{5}[/tex]
What is the answer to that question?
Step-by-step explanation:
the diagram is not clear
The graph of an exponential function has a negative y-intercept and a common ratio (T) such that 0 << 1. which statements below are true? Select all that
apply.
1. As I increases, y decreases.
2. As a decreases, y decreases
3. As I increases, y approaches 0.
4. As I decreases, y approaches 0.
5. The function is a decreasing function.
6. The function is an increasing function
Step-by-step explanation:
tell me when you get the answer
You start at (2, 3). You move up 6 units. Where do you end?
Answer:
(2,9)
Step-by-step explanation:
we start at the point (2,3) and moving up 6 units
when we move up or down, we are changing the value of the y-coordinate. Since we are moving up, the value of the y-coordinate increases (makes sense, if you are thinking about a graph. The further you go up, the larger the y value becomes).
However, the x-coordinate will stay the same (no instructions on moving left or right {that changes the x value}). That means the y value will increase by 6 while the x value will stay the same.
so add 6 to 3 and get 9, and add nothing to 2
therefore, the point we end on will be (2,9)
if you would like to see a graph for clarity/visualization, please see below
Nine times a number, added to 4, is 58.
Find the number n.
Answer:
6
Step-by-step explanation:
n - number
9n + 4 = 58
9n = 54
n = 54/9 = 6
What is the measure of angle RQS in the figure?
A. 36 degrees
B. 60 degrees
C. 72 degrees
D. 108 degrees
Answer:
108°
I hope it's helps you
Answer:
[tex]2x + 3x = 5x = 180 \\ x = \frac{180}{5} = 36 \\ rqs = 36 \times 3 = 108[/tex]
Find the area of the given shape.
Include the units in your answer. There is only one box for both parts.
Answer:
esta en igless
Step-by-step explanation:
sissss
The area of a right triangle is 210 square inches. The height of the right triangle is 35 inches.
What is the length of the hypotenuse of the right triangle?
Enter your answer in the box.
in.
Answer:
37 inch
Step-by-step explanation:
Area of ∆ = ½ height x base
210 = ½ x 35 x base
12 = base
Using Pythagoras theorem,
=> hypotenuse = √height² + base²
=> hypotenuse = √35² + 12² = 37
Directions: Find each angle or arc measure.
Answer:
176°
Step-by-step explanation:
inscribed angle= 88°
intercepted Arc= JML
so, 88 =1/2 × mJML
2 × 88 =1/2 × mJML
176° = mJML
The measure of arc JML is 176°.
What is Inscribed Angle Theorem?Inscribed Angle Theorem states that the angle inscribed in a circle has a measure of half of the central angle which forms the same arc.
Given that,
∠JKL is the inscribed angle and ∠JNL is the central angle.
Measure of central angle JNL is the measure of the arc JML.
m ∠JKL = 88°
m ∠JNL = 2 × 88° = 176°
Measure of arc JML = 176°
Hence the measure of the arc JML is 176°.
To learn more about Inscribed Angle Theorem, click :
https://brainly.com/question/5436956
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SOMEBODY PLSSSSSSS HELP!! :(
Answer:
What's your question?
Step-by-step explanation:
Answer:
Where is the question?
A cell phone is in the shape of a rectangular prism, with a length of 4 inches, a width of 2 inches, and a height of 1 inch. What is the volume of the cell phone?
Answer:
8
Step-by-step explanation:
V=whl=2·1·4=8
Volume = width times length times height = 2 x 1 x 4 =8
I hope this helps!!
Can anyone help me with this math equation??
Answer:
The person above me is right, it is 0.3 or 1/3
Step-by-step explanation:
At Lincoln Middle School, 1/3 of the students play a musical instrument. Of the students who play instruments, 3/4 tried out for the class play. What is the probability that a student
selected at random plays a musical instrument and tried out for the class play?
25%
33%
66%
75%
The probability that a student selected at random plays a musical instrument and tried out for the class play is 25%.
To find the probability that a student selected at random plays a musical instrument and tried out for the class play, we need to multiply the probabilities of each event happening.
Given:
Probability of a student playing a musical instrument = 1/3
Probability of a student who plays an instrument trying out for the class play = 3/4
To find the combined probability, we multiply these probabilities:
Probability = (1/3) * (3/4)
Simplifying the multiplication:
Probability = 1/4
Converting the fraction to a percentage:
Probability = 1/4 * 100% = 25%
Therefore, the probability that a student selected at random plays a musical instrument and tried out for the class play is 25%.
To know more about probability here
https://brainly.com/question/23417919
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help me please . Very much appreciated
Answer:
126
Step-by-step explanation:
multuply the base times the hight in which case the base is 21 and the hight is 12 then devide that answer by 2. so it should look like this 21 * 12 all over 2