Answer:
x = 2
y = -8
Step-by-step explanation:
Since it already gives you x, all you need to do is plug it into the equation:
5x + 4y = -22
5(2) + 4y = -22
10 + 4y = -22
Then, subtract 10 from both sides:
10 + 4y = -22
- 10 - 10
__________
4y = -32
Finally, divide both sides by 4:
4y = -32
y = -8
So now you have, x = 2 and y = -8
Answer:
X=2
5x +4y= -22
5(2)+4y = -22
10+4y= -22
4y= -22-10
4y= -32
Y= -8
The answers are :
X = 2
Y = -8
Step-by-step explanation:
please answer all the questions
Answer:
Step-by-step explanation:
30-3024-30181-16248Find the solutions of the quadratic equation 3x^2 + 9x + 17 = 0
The solutions of the quadratic equation 3x² + 9x + 17 = 0 are x₁ = (-9 + √(123)i) / 6 and x₂ = (-9 - √(123)i) / 6, where "i" represents the imaginary unit.
To find the solutions of the quadratic equation 3x² + 9x + 17 = 0, we'll use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a.
Here, a = 3, b = 9, and c = 17. We'll plug these values into the formula and simplify the expression step-by-step.
Step 1: Calculate the discriminant (Δ) using the formula Δ = b² - 4ac.
Δ = (9)² - 4 * 3 * 17
Δ = 81 - 204
Δ = -123
Step 2: Substitute the values of a, b, and Δ into the quadratic formula.
x = (-9 ± √(-123)) / 2 * 3
Step 3: Since the discriminant (Δ) is negative, the quadratic equation has no real solutions. Instead, it has two complex solutions.
Step 4: Simplify the expression under the square root.
x = (-9 ± √(-123)) / 6
Step 5: Now, we deal with the square root of a negative number, which is denoted by "i" in the complex number system. √(-123) = √(123)i.
Step 6: Substitute the value of √(-123) back into the equation.
x = (-9 ± √(123)i) / 6
Step 7: Divide both the real and imaginary parts by 6 to get the two complex solutions.
x₁ = (-9 + √(123)i) / 6
x₂ = (-9 - √(123)i) / 6
To know more about quadratic equation here
https://brainly.com/question/29269455
#SPJ2
Final answer:
The quadratic equation 3x^2 + 9x + 17 = 0 has no real solutions because the discriminant is negative. The solutions are complex numbers and can be expressed as x = -3/2 ± √(123)/6 × i.
Explanation:
To find the solutions of the quadratic equation 3x^2 + 9x + 17 = 0, we will use the quadratic formula, which is x = (-b ± √(b^2 - 4ac)) / (2a) for a quadratic equation of the form ax^2 + bx + c = 0. In our case, a = 3, b = 9, and c = 17. Plugging these values into the formula gives:
x = (-(9) ± √((9)^2 - 4(3)(17))) / (2(3))
x = (-9 ± √(81 - 204)) / 6
x = (-9 ± √(-123)) / 6
Since the discriminant (the part under the square root, b^2 - 4ac) is negative, the equation has no real solutions. Instead, the solutions are complex numbers:
x = (-9 ± √(-123)i) / 6
The final solutions can be expressed as:
x = -3/2 ± √(123)/6 × i
The probability of rolling a 3 with a single six-sided die is 1/6. The probability of rolling
a 5 on a single six-sided die is 1/6. Thus the probability of rolling a 3 and then a 5 on
back to back rolls of a six-sided die is 1/6 x 1/6 = 36.
We can perform this calculation
because rolling a 3 and then a 5 are known as a ________ event?
Find the blank answer!
Answer:
3625
Step-by-step explanation:
Need help ASAP please and thank you
Answer:
[tex]-3m^{12}{n^{6} }[/tex]
Step-by-step explanation:
To begin simplifying this, we can first divide the coefficients, giving us:
[tex]\frac{-3m^{5}n^{4} }{m^{-7} n^{-2} }[/tex]
We know that when dividing exponents, this means we need to subtract the exponent on the denominator from the numerator. This gives us:
[tex]\frac{-3m^{5+7} n^{4+2} }{1}[/tex]
Now, simplifying this gets:
[tex]-3m^{12}{n^{6} }[/tex]
Find the exact length for the third side
Answer:
12
Step-by-step explanation:
Pythagorean theorem
a²+b²=c²
a²+35²=37²
a²+1225=1369
manipulate the equation
1225-1369=-a²
-144=-a²
√-144=12
a=12
I need help with all three problms pls! I'll mark brainliest
Answer:
2. Denote two pieces: x, y
x + y = 40
x = 2y + 10
=> 2y + 10 + y = 40 => 3y = 30 => y = 10 => x = 2 x 10 + 10 = 30
=> Solution: 10 and 30
3. Denote 4 consecutive number: 2k, 2k+2, 2k+4, 2k+6
(2k + 2k + 4) x 2 + 20 = 2 x (2k + 6)
=> 8k + 28 = 4k + 12
=> 4k = -16
=> k = -4
=> Solution: -8, -6, -4, -2
4. The number of shoppers after announcement :
N = 320 x 150/100 = 480
Hope this helps!
:)
What is the slant height x of the square pyramid?
The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of the lateral edge is 8 meters. The lateral edge makes a 60 degree angle with the base edge
Enter your answer in the box. Express your answer in radical form.
x = m
Answer:
4√3
Step-by-step explanation:
sorry that I was late I just taken it sorry
Prisms are 3-D shape with triangles and a base. The value of x from the diagram in radical form is 4√3
SOH CAH TOA identityFrom the given figure, we are to find the value of "x". To do this, we will use the identity
Given the following parameters
slant height = 8m
Opposite side = x
Determine the value of "x"
Sin 60 = x/8
x = 8 sin60
x = 8 * √3/2
x = 4√3
Hence the value of x from the diagram in radical form is 4√3
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
Write the absolute value equations in the form
x−b
=c (where b is a number and c can be either number or an expression) that have the following solution sets:
a
Two solutions: x=2, x=14.
Answer:
|x - 8| = y + 6
Step-by-step explanation:
The vertex of the equation must be somewhere on the line x = 8, because it is the average of the answers.
If the slope of x is 1, then the vertex is (8, -6)
Plug that into the equation and you get Ix - 8I = y + 6
Answer:
lx-8l=6
RSM said It was right
Step-by-step explanation:
A set of electric toothbrush prices are normally distributed with a mean of 87 8787 dollars and a standard deviation of 8 88 dollars. What proportion of electric toothbrush prices are between 104.60 104.60104, point, 60 dollars and 108.20 108.20108, point, 20 dollars?
Answer:
.0099
Step-by-step explanation:
right answer
The proportion of exam scores are between 82 and 89.2 points is 0.3330.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given:
mean = 87 points and
standard deviation = 8 points.
Now, using
Z= [tex]x- \mu / \sigma[/tex]
z= 104.6 - 87 / 8
z= 2.2
again, Z= [tex]x- \mu / \sigma[/tex]
z= 108.2- 87 / 8
z= 2.65
So, the proportion is
P(x<108.20)-P(x<104.60)
=P(Z<2.65)-P(Z<2.2)
= 0.9960-0.9861
=0.0099
Learn more about standard deviation here:
brainly.com/question/13905583
#SPJ5
Which line segment has the same measure as ST?
RX
TX
SR
XS
Answer:
SR
Step-by-step explanation:
In the diagram below, DE and EF are tangent to O. What is the measure of DF?
The measure of the arc DF is 86 degrees if the measure of the major arc is 274 degrees option (D) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
In the diagram below, DE and EF are tangent to O.
Let x be the measure of arc DF.
The complete revolution around the center = 360 degree
Major arc + Minor arc = 360
274 + x = 360
x = 86 degrees
Thus, the measure of the arc DF is 86 degrees if the measure of the major arc is 274 degrees option (D) is correct.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
Answer:
86
Step-by-step explanation:
Just took the quiz
Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748... How do I find the value of r????
Answer:
r = -3
16th term: -516560652
Step-by-step explanation:
Let's use the formula for a geometric sequence:
[tex]a_n=a_1r^{n-1}[/tex], where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term, and r is the common ratio
Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for [tex]a_n[/tex]:
[tex]a_n=a_1r^{n-1}[/tex]
-8748 = 4 * [tex]r^{8-1}[/tex]
-8748 = 4 * [tex]r^7[/tex]
[tex]r^7[/tex] = -2187
r = -3
So we know that the common ratio is -3. Now, we want to find the 16th term, so n = 16:
[tex]a_n=a_1r^{n-1}[/tex]
[tex]a_{16}=a_1*(-3)^{16-1}=4*(-3)^{17}=-516560652[/tex]
Answer:
r = -3
16th term: -516560652
Step-by-step explanation:
Let's use the formula for a geometric sequence:
, where is the nth term, is the first term, and r is the common ratio
Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for :
-8748 = 4 *
-8748 = 4 *
= -2187
r = -3
I’m pretty sure it’s x=9, but I want to be sure.
Answer:
x=9
Step-by-step explanation:
3 ^ (x-4) = 243
Rewrite 243 as a power of 3
3 ^ (x-4) =3^5
Since the bases are the same, the exponents are the same
x-4 =5
Add 5 to each side
x-4+4 = 5+4
x=9
Can someone please answer!!! I’m on a time limit!!!
Answer:
2.8
Step-by-step explanation:
the formula of volume of cylinder is pi*r^2*h. if you plug in, you get (3.14)(r^2)(8.7). if you solve for r, you get 2.8!
Nick has $5, $20, and $100 bills that total 17 bills. He exchanges all his $5 bills for $1 bills, then all his $20 bills for $5 bills, and finally all his $100 bills for $20 bills. At the end, Nick has a total of 77 bills. How many $20 bills did Nick have originally? Assume that each exchange preserves the total dollar amount of Nick’s money.
Answer:
8
Step-by-step explanation:
Key to this question is assume that each exchange preserves the total dollar amount of Nick’s money.
If He exchanges all his $5 bills for $1 bills, it means that a $5 bill will result in 5 $1 bills as such, if he had x number of $5 bill, after the exchange, he would have 5x $1 bills.
then all his $20 bills for $5 bills, it means that for each $20 bill, he gets 4 $5 bills which means that if he had y number of $5 bills, after the exchange, he would have 4y $5 bills.
and finally all his $100 bills for $20 bills, then he must have received 5 $20 bills for each $100 such that if he had z number of $100 bills before the exchange, he would have 5z number of $20 bills after the exchange. Given that originally he had 17 bills and later 77 bills then
x + y + z = 17
5x + 4y + 5z = 77
Multiplying the first equation by 5,
5x + 5y + 5z = 85
5x + 4y + 5z = 77
subtract 2 from 1
y = 8
The stained glass window below is a semicircle. What is the distance around the window to the nearest hundredth of an inch? Use 3.14 for π.
The distance around the window is 92.52 inches.
What is a semicircle?A semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180°. It has only one line of symmetry.
Given that, The stained-glass window is semicircular and the bottom edge of the window is 36 in.
We get that, diameter of the window = 36 in
radius = 18 in
Circumference of semicircle = r(2+π)
= 18(2+3.14)
= 92.52 in
Hence, The distance around the window is 92.52 inches.
For more references on semicircle, click;
https://brainly.com/question/30023569
#SPJ2
A skiing event has 13 participants for the slalom. The 5 participants with the fastest speeds will be listed, in the order of their speed, on the leader board. How
many different ways are there for the names to be listed?
There are 154,440 different ways for the names of the top 5 participants to be listed on the leaderboard.
To determine the number of ways the names can be listed for the top 5 participants on the leader board, you can use the concept of permutations. The formula for permutations is:
[tex]\[ P(n, r) = \frac{n!}{(n - r)!} \][/tex]
where [tex]\( n \)[/tex] is the total number of items and [tex]\( r \)[/tex] is the number of items to be selected.
In this case, you have 13 participants, and you want to select and order the top 5 participants. So, the formula becomes:
[tex]\[ P(13, 5) = \frac{13!}{(13 - 5)!} \][/tex]
Now, calculate the permutations:
[tex]\[ P(13, 5) = \frac{13!}{8!} \][/tex]
[tex]\[ P(13, 5) = \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8!}{8!} \][/tex]
[tex]\[ P(13, 5) = 13 \times 12 \times 11 \times 10 \times 9 \][/tex]
Now, calculate the result:
[tex]\[ P(13, 5) = 154,440 \][/tex]
So, there are 154,440 different ways for the names of the top 5 participants to be listed on the leader board.
Keith is using photo software to enlarge a photograph that is 4 inches by 6 inches to 9 inches by 13.5 inches. What is the scale factor of the dilation?
Answer:
2.25
Step-by-step explanation:
The old width of 4 inches became a new width of 9 inches.
Old: 4 in.
New 9 in.
The old length of 6 inches became a new length of 13.5 inches.
Divide the new size by the corresponding old size.
9/4 = 2.25
13.5/6 = 2.25
You see in both cases, the scale factor is 2.25
The scale factor is 2.25
What is the distance between the points (4, 9) and ( 14, 11)? Rounded to the nearest tenth, if necessary
Answer:
10.4
Step-by-step explanation:
Kiley is replacing the top of a circular table with glass. The circumference of the table is between 6.28 feet and 12.56 feet. According to the graph, what is the range of areas of round glass she might need?
Radii, Circumferences, and Areas
Circumference (feet). Area (square feet).On a coordinate plane, the x-axis is labeled Radius (feet). A line representing the circumference goes through (0, 0), (1, 3.14), and (2, 12.56). A curve line representing the area goes through (0, 0), (1, 3.14), and (2, 12.56).
3.14 feet squared to 12.56 feet squared
1 foot squared to 2 feet squared
1 foot squared to 4 feet squared
3.14 feet squared to 6.28 feet squared
Answer:
The range of areas is 3.14ft^2- 12.56ft^2
Step-by-step explanation:
I don't know which graph the question is referencing but I found the range of areas this way
first I found out what the range of radius would be
since the circumference is pi*diameter
So to find the diameter I did the individual areas divided by pi
6.28/3.14=2
12.56/3.14=4
So the range of diameters is 2 to 4 this means the range of radius's are 1 to 2
Since area of a circle is r^2*pi
This means the range of areas is
1^2*3.14=3.14
2^2*3.14=12.56
So the range of areas is 3.14ft^2 to 12.56ft^2
Answer:
B
Step-by-step explanation:
sorry this doof was being confusing
Please help me on number 3, 4 and 5 Trigonometry! Please show your work
Answer:
15
Step-by-step explanation:
14^2 + 6^2 = H^2
196 + 36 = H^2
232 = H^2
*Square root both sides*
About 15 = H
Also: H means hypotheses
PLZ HELP ME ON THIS!!! NEED ANSWERS ASAP
Answer:
-1
Step-by-step explanation:
real numbers stars from zero
eg. 01234567....
What is the surface area of the triangular prism?
2,001 square feet
2.376 square feet
2,592 square feet
4.320 square feet
Answer:
2.376 b
Step-by-step explanation:
Answer:
b. 2.376 square feet
Step-by-step explanation:
In the figure attached, the prism is shown.
Area of the bottom rectangle: 40*24 = 960 square feet
Area of the two side rectangles: 2*40*15 = 1200 square feet
Area of the two triangles: 2*24*9/2 = 216 square feet
Surface area of the triangular prism = 960 + 1200 + 216 = 2376 square feet
23/12
4
+63 rational or irrational?
Answer:
irrational :)
Step-by-step explanation:
What is the measure of 2 В?
ОА. 75°
ОВ. 25°
Ос. 60
O D. Cannot be determined
Help!!!!
Answer:
с. 60
Step-by-step explanation:
This is an equilateral triangle since all the sides are the same.
That means all the angles are the same.
The sum of the angles is 180
There are 3 angles
180/3 = 60
Each angle is 60 degrees
what is the surface area of the rocket?
Answer:
Thus, the surface area equals S(r)=πr2+2πrl+πr54r=πr2(1+54)+2πr(14r2−r4)=94πr2+28πr−π2r2=74πr2+28πr.Jul 15, 2016
Step-by-step explanation:
2.3 THINK: Florida Part 2
77
In 1840, the population of Florida was about 54,500. Between 1840 and 1860,
the population grew exponentially, increasing by about 60% each decade.
The number of decades can be calculated when estimating population.
1. How many decades are represented between 1840 and 1850?
2. How many decades are represented between 1840 and 1860?
Reply as 1-2
Answer:
1). 1 decade
2). 2 decades
Step-by-step explanation:
Number of years in decade = 10 years
1). When we are calculating the population of Florida between 1840 to 1850,
Number of years between 1850 and 1840 = 1850 - 1840
= 10 years
So number of decades between 1840 and 1850 = [tex]\frac{10}{10}[/tex] = 1 decade
2). Number of years between 1840 and 1860 = 1860 - 1840
= 20 years
Therefore, number of decades between this gap = [tex]\frac{20}{10}=2[/tex] decades
Which side lengths form a right triangle?
So the right answer is of option A.
Look at the attached picture ⤴
Hope it will help u...
Question 2 of 10
2 Points
Based on the housing data below, use linear regression to estimate a fair
price for a 1700 ft2 home.
Square F
Feet
|
2156
2040
20
2050
House Price
in thousands)
210
200
A. $180,000
O B. $175,000
C. $156,000
oo -
D. $190,000
DUS
Answer:
C. $176.000
Step-by-step explanation:
Linear regression requires sufficient data points for analysis, which are not provided, making it impossible to calculate an estimated price for a 1700 ft2 home without additional information.
Explanation:To estimate a fair price for a 1700 ft2 home using linear regression, we would require more data points with corresponding house prices to create a regression model. Since we're not provided with sufficient data in the question, and there's no explicitly provided regression equation or coefficients, it's not possible to accurately calculate the estimated price for a home of a given square footage using linear regression. However, if we had such data, we would typically plot square footage on the x-axis and house price on the y-axis, calculate the slope and intercept coefficients of the regression line, and then use the regression equation y = mx + b (where y is the estimated house price, m is the slope, x is the square footage, and b is the y-intercept) to predict the price of the house with given square footage
NEED HELP AS AS SOON AS POSSIBLE
Answer:
c
Step-by-step explanation:
trust me
Answer:
it is the 3rd one
Step-by-step explanation:
I did this question