Does anyone know how to solve this?
solve for x
3(x-2)^2-10=4-11x
Answers
Answer:
x=3.25
Step-by-step explanation:
To solve this you would have to distribute the 3 to both numbers in the parenthesis and then you'd combine like terms. Once you combine like terms it'll be a bit easier to solve. When I distributed and combined like terms I got 3x-12-10=4-11x and then I solved and got x=3.25
Not sure if this is how your supposed to solve this problem for your assignment but for us it's usually like this...if it happens to be wrong then I'm sorry.
Related Questions
a swimming pool is circular with a 30-ft diameter. the depth is constant along east-west lines and increases linearly from 4 ft at the south end to 9 ft at the north end. find the volume of water in the pool. (round your answer to the nearest whole number.)
Answers
This circular swimming pool has 4595 ft³ of water in it.
Define the term circular volume?The formula V=r² can be used to determine a cylinder's volume (h). Determining the area of both the circular bottom shape then multiplying it by the height is all that's required to calculate a cylinder's volume.According to what is said, the depth grows linearly from 2 feet at the south end to 7 feet at the north end and remains constant along east-west lines.
The given data in the question-
Diameter of circular swimming Pool; d = 30 ft
Radius r = d/2 = 30/2 = 15 ft
The average depth is given as;
avg (h) = (4 + 9)/2
avg (h) = 6.5 ft
Formula for circular area is;
A = πr²
Put the values;
A = π × 15²
A = 225π
Formula for circular volume is;
Volume = Area × depth
Volume = 225π × 6.5
Volume = 4594.57 ft³
Rounding to a whole number;
Volume = 4595 ft³
Thus, this circular swimming pool has 4595 ft³ of water in it.
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A normal distribution has a mean of 75 and a standard deviation of 15.
Determine the z-score for the data value of 85.
Answers
0.67
1) Given that we've got the following data:
\(\mu=75,\sigma=15,X=85\)We can plug them all together into the Z score formula:
\(Z=\frac{X-\mu}{\sigma}=\frac{85-75}{15}=\frac{10}{15}\approx0.67\)Thus, the Z-score is 0.67
Victor runs 1/2 of a mile each day. Steve runs 3/4 of the distance that Victor runs. How long does Steve run?
Answers
Steve runs \(\frac{3}{8}$\) of a mile each day.
What is Miles?For instance, traveling at 60 mph equates to traveling 60 miles per hour. There are an hour in 60 minutes, so partition the miles by that sum, and presto! One mile can be covered in one minute.
According to question:Victor runs \(\frac{1}{2}$\) of a mile each day.
Steve runs \(\frac{3}{4}$\) of the distance that Victor runs, which is \(\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$\) of a mile.
Therefore, Steve runs \(\frac{3}{8}$\) of a mile each day.
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what is the word used to describe a vector that always points toward the center of a circular path?
Answers
"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."
The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.
The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.
Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.
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Between which two integers does square root of /10
lie?
Answers
Answer:
It is lie
Step-by-step explanation:
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Answer:
Between 3 and 4.
Step-by-step explanation:
Due to the square root of 10 being around 3.16, the value is between 3 and 4.
However, we can also find this by saying the closest two integers to the square root of 10 are 3 and 4 due to 3^3 = 9 and 4^2 = 16 and 10 being between those two values.
Hope this helped!
Explain why the following function has zero real solutions.
x^2+4=0
Answers
X^2+4-4 = 0-4
X^2 = -4
A square number can’t be negative
solve the equation x²+11=36
Answers
Answer:
x=5
Step-by-step explanation:
Equation:
x^2 + 11=36
1.Subtract 11 on both sides
x^2 = 25
2. Square root 25
x=5
-3(x - 5) = 3x + 15
true or false
will give brainliest to whoever answers right
Answers
Answer:
false
Step-by-step explanation:
because
-3(x-5)
-3x+15
I need help with my math, please help
Answers
Answer:
x ≤6
Step-by-step explanation:
no more than means you can have 6 or less
x ≤6
Answer: x ≤ 6
Step-by-step explanation:
There are no more than 6 books in your bag, so the number of books in your bag is either exactly 6, or less than six, but no more than 6.
Find the highest common factor (HCF) of 32, 48 and 72
Answers
a. Suppose ψ(r, θ, ϕ) = Ae−r/a, for some constants A and a. Find E and V (r), assuming V (r) → 0 as r → [infinity].
b. Do the same for ψ(r, θ, ϕ) = Ae^−r^2/a^2, assuming V (0) = 0.
Answers
a. V(r) = (ħ^2/2m)(1/a^2 - 1/r)(1 + r/a). b. The potential energy V(r) is equal to V(r) = E + (ħ^2/2m)(1/r)(d^2/dr^2)(rψ) - (ħ^2/2m)(l(l+1)/r^2)ψ. For the given wavefunction, V(r) = (ħ^2/2mr^2)(3/4 - 2r^2/a^2).
a. The energy E of the particle in the state described by ψ(r, θ, ϕ) = Ae−r/a is given by E = −(ħ^2/2m) [1/a^2 + k], where k is a constant determined by normalization conditions. The potential energy V(r) is equal to V(r) = E + (ħ^2/2m)(1/r)(d^2/dr^2)(rψ) - (ħ^2/2m)(l(l+1)/r^2)ψ. For the given wavefunction, V(r) = (ħ^2/2m)(1/a^2 - 1/r)(1 + r/a).
b. For the wavefunction ψ(r, θ, ϕ) = Ae^−r^2/a^2, assuming V(0) = 0, the energy E is given by E = (ħ^2/2ma^2)(2k + 3/2), where k is a constant determined by normalization conditions. The potential energy V(r) is equal to V(r) = E + (ħ^2/2m)(1/r)(d^2/dr^2)(rψ) - (ħ^2/2m)(l(l+1)/r^2)ψ. For the given wavefunction, V(r) = (ħ^2/2mr^2)(3/4 - 2r^2/a^2).
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What’s 50.272 to 1 decimal place
Answers
TRUNCATED to one decimal place, it's 50.2
ROUNDED to one decimal place, it's 50.3
The round-off of 50.272 to 1 decimal place using rules of rounding
numbers are 50.3.
Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.
Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.
So, 50.272 becomes 50.3 when rounded to one decimal place.
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Put these numbers in order from least to greatest.
4.48
3.26
3.55
3.42
Answers
Answer:
3.26, 3.42, 3.55, 4.48
Step-by-step explanation:
that is the smallest number to the largest
a researcher is interested in the relationship between happiness and gpa of high school students. after surveying 50 students, he determines that there is a correlation between these two variables of .90. this is considered a: group of answer choices strong negative linear correlation strong positive linear correlation weak negative linear correlation weak positive linear correlation
Answers
The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.
A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.
A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.
This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.
It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.
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I need help 7 to 10 lesson 17-2 Practice Find the area of each figure Use π = 3.14
Answers
Answer:
number 7 is 28.56 in
Step-by-step explanation:
Answer:
7. 22.28 in.²
8. 76.26 in.²
9. 13.76 cm²
10. 49.74 cm²
Step-by-step explanation:
7.
A square with side 4 in. and a semicircle with diameter 4 in., radius = 2 in.
area = area of square + area of semicircle
area = s² + πr²/2
area = (4 in.)² + 3.14(2 in.)²/2
area = 16 in.² + 6.28 in.²
area = 22.28 in.²
8.
A rectangle with length and width of 8 in. and 6 in. and 2 semicircles with diameter 6 in., radius = 3 in. The 2 semicircles combine to make one circle or radius 3 in.
area = area of rectangle + area of circle
area = LW + πr²
area = 8 in. × 6 in. + 3.14(3 in.)²
area = 48 in.² + 28.26 in.²
area = 76.26 in.²
9.
A circle inside a square. The area we need is the shaded area, so we need to subtract the area of the circle from the area of the square.
area = area of square - area of circle
area = s² - πr²
area = (8 cm)² - 3.14(4 cm)²
area = 64 cm² - 50.24 cm²
area = 13.76 cm²
10.
A circle inside a parallelogram. The area we need is the shaded area, so we need to subtract the area of the circle from the area of the parallelogram.
area = area of parallelogram - area of circle
area = bh - πr²
area = (13 cm)(6 cm) - 3.14(3 cm)²
area = 78 cm² - 28.26 cm²
area = 49.74 cm²
In the diagram below of triangle GHIGHI, JJ is the midpoint of \overline{GI} GI and KK is the midpoint of \overline{HI} HI . If JK=-21+9xJK=−21+9x, and GH=-2x+18GH=−2x+18, what is the measure of \overline{GH} GH ? G H
Answers
Answer:
25.5
Step-by-step explanation:
2( -21+9x)=2x+18
-42+18x=2x+18
+42 +42
18x=2x+60
-2x -2x
16x=60
60/16=3.75
x=3.75
GH=2x+18
2(3.75)+18
7.5+18=25.5
GH=25.5
How is field data aggregated? Number of failed parts Number of failures Hours of operation Maintenance time Mark for follow up Question 3 of \( 7 . \) Data collection extends over a large number of it
Answers
Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,
such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.
Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,
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The figure MNP will be reflect across the line x = -2. If point M starts at (1, 2), what is the coordinate of M´?
Answers
The coordinates of the point M' is (-6,2) when the point M was reflected across x =-2.
Here, assume that there is a point A(a, b). This point is reflected across the line x = -2. When reflected across this line, the value of the y coordinate of this point A will not change, only the value of the x coordinates of the point A will change.
Here, the point M(1,2) is reflected across the line x = -2.
The coordinates of the reflected point M' are (a, b).
The value of will b will remains same as that of the point M.
Now, the location of a,
the distance between the line x = -2 and a will be same as that of the distance between 2 and x =-2 which is 4 units,
So, the location of a will be fours units away from x =-2 and in the opposite direction so, a = -6
So, the Point M' is (-6,2)
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find the equation of a line that is equidistant from the points (2,4) and (-4,6)
Answers
The equation of a line is y = 5x - 6
What is Equation of line ?
A straight line's general equation is y = mx + b, where m denotes the gradient or slope and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.
The given points are (2, 4) and (-4, 6)
The equation of line is given ,
y = mx + b
where, m = slope
b = y - intercept
To find slope , we have formula
slope (m) = (y2 - y1) / (x2 - x1)
let, (x1, x2) = (2, 4) and
(y2, y1) = (-4, 6)
Now, put the values in slope formula,
m = ( 6 - (-4) ) / ( 4 - 2)
m = (6 + 4) / 2
m = 10 / 2
m = 5
We get slope, now find y-intercept i,e, 'b'
y = 5x + b
so take any point to find 'b'
Let's take the point (2, 4) which is (x, y) so now put the (x, y) and find 'b'.
4 = 5 * 2 + b
4 = 10 + b
b = 4 - 10
b = -6
so, now put the values of slope and y-intercept in equation of line i.e, y = mx + b
y = 5x - 6
Hence, the equation of a line is y = 5x - 6
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Maria invests 1500$ into an account with a 2% annual rate. Compounded annually the value of her account is given by A=1500(1.02)t, where t is the number of years invested. If interest is compounded monthly which of the following represents the value of Maria’s investment.
Answers are the pic
Answers
Answer:
D
Step-by-step explanation:
Pls brainliest!!
Wayne Gretzky holds the NHL record for the most points scored In a career. He scored 2857 points in 1487 games. a. Calculate his average points per game b. At this rate,how many more points might he have scored if he had played 79 more games?
Answers
Answer:
Step-by-step explanation:
a) The formula for determining average is expressed as
Average point per game = number of points scored/total number of games played
Average point per game = 2857/1487 = 1.92
b) if he had played 79 more games, since his average point per game is 1.92, then the number of points that he might have scored would be
1.92 × 79 = 95 points
The total number of points would have been
2857 + 95 = 2952 points
Answer:
a. 1.92
b. 152
Step-by-step explanation:
Wayne Gretzky had 2857 points in 1487 games.
a. His average points per game can be determined by dividing the total number of points by number of games. So that:
average points per game = \(\frac{2857}{1487}\)
= 1.92132
Therefore, he scored an average of 1.92 (2 d.p) points per game.
b. The number of points he would have scored having played 79 more games can be determined by multiplying the points for 79 more games by his average points.
His points for 79 more games = 79 × 1.92132
= 151.78428
He would have scored 152 (3 s.f) more points if he had played 79 more games.
Darius can buy two heads of cabbage for $1.80. How many heads of cabbage can he buy if he has $28.80?
Answers
28.80 / 1.80=16
therefore, Darius can buy 16 cabbage heads for his $28.80
Answer:
Darius can buy 16 heads of cabbage
Step-by-step explanation:
28.80 divided by 1.80 is equal to 16.
The height of parallelogram whose area is 35 cm2 and altitude 7 cm
please answer step by step friends.
Answers
Answer: height is 5
Step-by-step explanation:
Area of the parallelogram is altitude x height. You divide area (35) by altitude (7) to get 5
an analysis of variance is used to evaluate the mean differences for a research study comparing three treatment conditions and the same number of scores in each sample. if ssbetween treatments
Answers
The analysis of variance (ANOVA) is a statistical method in a research study. The sum of squares between treatments (SSbetween) is a measure of the variability between the treatment conditions.
ANOVA breaks down the total variability in the data into different components to determine the sources of variation. SSbetween represents the variation between the treatment conditions and provides information about the differences among the means. By comparing the mean square between treatments (MSbetween) with the mean square within treatments (MSwithin), we can determine if the observed differences between the treatment conditions are statistically significant.
If SSbetween is relatively large compared to MSwithin, it suggests that the treatment conditions have a significant effect on the dependent variable. This means that the means of the treatment groups are significantly different from each other, indicating that the treatments are having an impact. On the other hand, if SSbetween is small compared to MSwithin, it suggests that the treatment conditions do not have a significant effect, and any differences observed between the treatment means may be due to random variation or chance.
In conclusion, the SSbetween in an ANOVA analysis provides valuable insights into the differences among treatment conditions in a research study. It helps determine if the observed mean differences are statistically significant, shedding light on the effectiveness or impact of different treatments.
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A package of 4 red,white and blue hats costs $8. What is the unit rate
Answers
Answer:
$2/ hat
Step-by-step explanation:
Find the unit rate:
$ to hats
8 to 4
Divide by four to get the unit rate; over 1
2 to 1
So, $2 per hat
Hope this helps!
Select the correct answer.
What is the end behavior of the radical function represented by this graph?
A. As \(x\) decreases in value, \(f(x)\) increases in value.
As \(x\) increases in value, \(f(x)\) decreases in value.
B. As \(x\) decreases in value, \(f(x)\) decreases in value.
As \(x\) increases in value, \(f(x)\) increases in value.
C. As \(x\) decreases in value, \(f(x)\) increases in value.
As \(x\) increases in value, \(f(x)\) increases in value.
D. As \(x\) decreases in value, \(f(x)\) decreases in value.
As \(x\) increases in value, \(f(x)\) decreases in value.
Answers
Answer:
The answer is B.
Step-by-step explanation:
When looking at the graph, you can see that as the x value increases, the y value also increases and vice versa.
14.2 in scientific notation
Answers
Answer: 1.42 x 10^1
Step-by-step explanation:
Answer: 1.42x10
Step-by-step explanation:
HELPPPP ILL MARK YOU BRAINLIST SHOW WORK SHOW WORK
Answers
So 5x^2 (5x^3 - 6x^2 - 5) and then -2x (5x^3 - 6x^2 - 5)
then solve so it is:
25x^5 - 30x^4 - 25x^2 - 10x^4 + 12x^3 + 10x.
Then you simplify to:
25x^5 - 40x^4 + 12x^3 - 25x^2 + 10x
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find the lump sum that must be deposited today to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually. Use the table of values below.
Answers
Answer:
The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.
Step-by-step explanation:
We are given:
Future value (A)=$25,000
Rate r =8% (0.08%)
Time t = 9
Compounded Annually n =1
We need to find:
Principal Amount (P) = ?
The formula used will be:
\(A=P(1+\frac{r}{n})^{nt}\)
Putting values and finding Principal Amount (P)
\(A=P(1+\frac{r}{n})^{nt}\\25000=P(1+\frac{0.08}{1})^{9*1} \\25000=P(1+0.08)^{9} \\25000=P(1.08)^{9} \\25000=P(1+0.08)^{9} \\25000=P(1.9990)\\P=\frac{25000}{1.9990}\\\mathbf{P=12506.25 }\)
So, The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.
simplify (3x2 + 2x - 4)-(-4x2 – 3x + 4
Answers
So the simplified equation is 6+5x