Answer:
j=1.75
Step-by-step explanation:
6j=21-2j-7
6j=14-2j
6j+2j=14
8j=14
\(\frac{8j}{8} = \frac{14}{8}\)
j=1.75
plzz help mehhh plz :( ill mark you
Answer: 108
Step-by-step explanation: bottom figure=60 because 10x3x2=60
top one=48 4x4x3 so 48 60+48=108
plz mark me brainliest
the radius of a circle is increasing at a constant rate of 5 meters per second. at the instant when the radius of the circle is 1010 meters, what is the rate of change of the area? round your answer to three decimal places.
the radius of a circle is increasing at a constant rate of 5 meters per second, so the rate of change of the area is \(100\pi m/sec^{2}\)
How is the rate of change calculated?Divide the y-value change by the x-value change to determine the rate of change. When analyzing changes in observable parameters like average speed or average velocity, finding the average rate of change is extremely helpful.
Suppose the radius of circle be r.
now, \(\frac{dr}{dt} = 5 m/sec\)
And, area of circle is \(\pi r^{2}\)
\(\frac{dA}{dy} = 2\pi r\frac{dr}{dt},\) differentiate both sides with respect to t,
\(\frac{dA}{dt} |_{r=10} = 2\pi (10)(5)\)
= \(100\pi m/sec^{2}\)
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1000-322divided by 72% of 21983
Im guessing the equation you saying is (1000-322) / (72% of 21983)
When answering each of them, the equation was simplified to:
678 / 15827.76 = 0.04283613094????
Im guessing this is the wrong equation so just comment the right one and ill change it-
A. 3 (x + 2) = 18
B. x + 2 = 6
1) How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract the same quantity to/from both sides
(Choice B) Add/subtract a quantity to/from only one side
(Choice C) Multiply/divide both sides by the same non-zero constant
(Choice D) Multiply/divide only one side by a non-zero constant
Answer:
c
Step-by-step explanation:
which of the following statements must be true, given that ΔABC≅ΔXYZ, and the measure of ∠C is 32°
\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)
Given,
ΔABC ≅ ΔXYZ
If these 2 triangles are congruent with each other then,
∠ A = ∠ X \(\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}\)
∠ B = ∠ Y \(\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}\)
∠ C = ∠ Z \(\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}\)
Now,
We saw that ∠ C = ∠ Z.
⟹ So, if ∠ C = 32°, then even ∠ Z will be equal to 32°. \(\boxed{\sf{Equal \ angles \ have \ equal \ measurements}}\)
ᶛɲƧཡэʀ ↦ C. m ∠X = 32°
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Solve for the requested variable.
s varies directly as the square of t, and s = 80 when t = 4. Find s when t is 8.
Answer:
\(\huge\boxed{\sf s = 320}\)
Step-by-step explanation:
Given that,
\(s \propto t^2\)
Converting proportionality into equality and adding a constant.
s = kt² ----------------(1)
Given that, s = 80 when t = 4
Put in Eq. (1)
80 = k(4)²
80 = k(16)
Divide 16 to both sides
80/16 = k
5 = k
k = 5Now,
Put t = 8 in Eq. (1)
s = (5)(8)²
s = (5)(64)
s = 320\(\rule[225]{225}{2}\)
What is the sequence of 2,5,10,17
Given the sequence below
\(2,5,10,17\)It follows the rule
\(S_n=n^2+1\)Where
\(undefined\)\(n\text{ is the number of terms}\)Where
\(\begin{gathered} n=1 \\ S_n=n^2+1=1^2+1=1+1=2 \end{gathered}\)Where
\(\begin{gathered} n=2 \\ S_n=n^2+1=2^2+1=4+1=5 \end{gathered}\)Where
\(\begin{gathered} n=3 \\ S_n=n^2+1=3^2+1=9+1=10 \end{gathered}\)Where
\(\begin{gathered} n=4 \\ S_n=n^2+1=4^2+1=16+1=17 \end{gathered}\)For the 5th term,
Where
\(S_n=n^2+1=5^2+1=25+1=26\)Hence, the sequence is
\(S_n=n^2+1\)Allie and Roman are trying to graph the blue line shown on the left. Only one of them has a correct answer.
Allie entered this equation: y=2x−8
Roman entered this equation: y=8−2x
Who is correct?
Answer:
3x
Step-by-step explanation:
Use the Triangle Angle Sum Theorem to find the measure of the angle on point C.
(1 point)
Therefore , the solution of the given problem of triangle comes out to be curve C has a measure of 70 degrees.
What precisely is a triangle?If a polygon has at least one additional segment, it is a hexagon. Its structure is a simple rectangle. Something like this can only be distinguished from a regular triangular form by edges A and B. Euclidean geometry only creates a portion of the cube, despite the precise collinearity of the borders. A triangular has three sides and three angles.
Here,
Sum of Triangle Angles According to a theorem, a triangle's internal angles always add up to 180 degrees.
We are aware that angle B in the trapezoid is 50 degrees and angle A is 60 degrees. As a result, we can apply the Triangle Angle Sum Theorem to determine the size of angle C:
Angle A +Angles B + C = 180 degrees.
With the known numbers substituted, we obtain:
Angle C: 60° + 50°+60° = 180°
By condensing the left half, we obtain:
Angle C = 180-110 degrees
By taking away 110 degrees from each side, we arrive at:
C = 70-degree slope.
As a result, curve C has a measure of 70 degrees.
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John is running a study on whether a particular SAT training class is effective. The students take the SAT before and after taking the class. The 95% confidence interval for the difference is scores (after - before) is [5, 15]. Which of the following is NOT true?
a. There is statistically significant evidence that the training class increases SAT scores.
b. The average increase in SAT score among the students was 10.
c. This is an example of a paired design.
d. The training class caused a big improvement in the students' SAT scores.
If John is running a study on whether a particular SAT training class is effective, the students take the SAT before and after taking the class and the 95% confidence interval for the difference in scores (after - before) is [5, 15], then the statement which is NOT true is 'The training class caused a big improvement in the student's SAT scores.' The answer is option d.
Given that the 95% confidence interval for the difference in scores (after - before) is [5, 15], we can infer that the training class is effective in increasing the SAT scores of the students. The average increase in the SAT score among the students was 10, which means that the students who took the training class have a higher average score than those who did not. Therefore, option (a) is true. A paired design is a type of experiment where two groups of subjects are paired together and compared to each other. In a paired design, each subject receives both treatments or is observed twice. The 95% confidence interval is defined as the range of values in which 95% of the observed data is likely to fall. The confidence interval provides a range of values that can be considered plausible estimates of the population parameter. Thus, option (d) is not true.Learn more about confidence interval:
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Chloe is 5'4" tall there are 2.54 cm in 1 inch what is Chloe's height in centimeters
Answer: 152.4
Step-by-step explanation:
multiply the length value by 30.48
what number is equal to 4 hundreds 3 tens 7 ones and 19 thousandths
Answer:437.019
Step-by-step explanation:
If you add together
4 hundreds-400
3 tens-30
7 ones-7
19 thousandths-0.019
It equals 437.019
The difference of the same side interior angles of two parrelels lines is 50 degrees find all angles
Answer:
Angle 1 = 115 degrees
Angle 2 = 65 degrees
Step-by-step explanation:
Angle 1: Same-side interior angle of Line 1
Angle 2: Same-side interior angle of Line 2
We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:
Angle 1 + Angle 2 = 180
Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:
Angle 1 - Angle 2 = 50
We can rewrite this equation as:
Angle 1 = 50 + Angle 2
Now substitute this expression for Angle 1 into the first equation:
(50 + Angle 2) + Angle 2 = 180
Combine like terms:
2Angle 2 + 50 = 180
Subtract 50 from both sides:
2Angle 2 = 130
Divide by 2:
Angle 2 = 65
Now substitute this value back into the equation for Angle 1:
Angle 1 = 50 + Angle 2
Angle 1 = 50 + 65
Angle 1 = 115
Therefore, the angles are as follows:
Angle 1 = 115 degrees
Angle 2 = 65 degrees
Help please!
Matthew launches a ball is at 34 meters per sec from a 28 meter tall platform. The function of the ball's height (h) at time (*) seconds after launch is
h(t) = -12t^2 + 34t + 28.
Answer:
17 seconds
Step-by-step explanation:
h(t) represents height, we want to know when the ball will return to a height of 28 feet. So our equation is..
28 = -2t² + 34t + 28
Now solve for t...
0 = -2t² + 34t (subtract 28 from both sides)
0 = t² - 17t (divide both sides by -2)
0 = t(t - 17) (factor out a t)
So
t = 0
or
t - 17 = 0
t = 17
0 seconds is the initial height. At 17 seconds, the ball will return to that height
i hope this work for you
Lucy has $7 less than Kristine and $5 more than Nina together,the three have $35 how much does Lucy have?
Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.
Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.
According to the given information, we can form two equations:
Lucy has $7 less than Kristine: L = K - 7
Lucy has $5 more than Nina: L = N + 5
We also know that the three of them have a total of $35: K + L + N = 35
We can solve this system of equations to find the values of K, L, and N.
Substituting equation 1 into equation 3, we get:
K + (K - 7) + N = 35
2K - 7 + N = 35
Substituting equation 2 into the above equation, we get:
2K - 7 + (L - 5) = 35
2K + L - 12 = 35
Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:
2K + (K - 7) - 12 = 35
3K - 19 = 35
Adding 19 to both sides:
3K = 54
Dividing both sides by 3:
K = 18
Now we can substitute the value of K into equation 1 to find L:
L = K - 7
L = 18 - 7
L = 11
Finally, we can find the value of N by substituting the values of K and L into equation 3:
K + L + N = 35
18 + 11 + N = 35
N = 35 - 18 - 11
N = 6
Therefore, Lucy has $11.
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7. The cone shown below has a radius of 9 centimeters and a height of 12
centimeters. What is the volume of the cone?
A
Please help me Solve y+39=107
Answer:
y=68Step-by-step explanation:
Let's solve your equation step-by-step.
y+39=107
Step 1: Subtract 39 from both sides.
y+39−39=107−39
y=68
Answer:
\(\huge\boxed{Y\:=\:68}\)
Step-by-step explanation:
y+39 = 107
y = 107-39
y = 68
Hope it helps!<3
Find the value of x in 18 : 9 = 36 : x?
(a) 16
(b) 18
(c ) 27
(d) 72
with working plsss.impropriate answers will be reported
Answer is B Step-by-step explanation:
18/9/ 36
36/ 2
18
What is the equation of the line of the graph?
Question 12 options:
y= 2x + 1
y= -x -2
y= x + 2
y= -2x + 1
Answer:
y = x+2
Step-by-step explanation:
y = mx +c
y-intercept is +2
so y = mx + 2
the slope of the line is one across one up so
y = x+2
Answer:
Step-by-step explanation:
At y-intercept, x =0
So, from the graph, y-intecept = b = 2
Equation of the line: y =mx +b
y = mx + 2
Choose any point on the line and substitue in the above equation and we get the slope(m)
(-2 ,0)
0 = m*(-2) + 2
0 = -2m + 2
-2 = -2m
-2/-2 = m
m= 1
Equation of the line: y = x + 2
50 points!!!
7. Write and solve an inequality for the value of x.
The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.
What is Triangle inequality theorem?
The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.
We are given three sides of a triangle as 8, 6 and x+20
Using Triangle inequality theorem,
⇒8+6 > x+20
⇒14 > x+20
⇒-6 > x
Also,
⇒x+20+6 > 8
⇒x+26 > 8
⇒x > -18
Also,
⇒x+20+8 > 6
⇒x+28 > 6
⇒x > -22
From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.
This means that x must lie between -18 and -6.
Hence, the value of x must be between -18 and -6.
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Solve for s.
9 + 2s = 15
s =
plz help me i need it
Answer:
The answer is S=3!!!!!!!
5cm
6cm
8cm
What is the perimeter of the following
Answer:
19cm
Step-by-step explanation:
lets assume its a triangle
perimeter = 5cm + 6cm +8cm
a number, y, is equal to twice the sum of a smaller number and 3. the larger number is also equal to 5 more than 3 times the smaller number. which equations represent the situation? 2 x minus y
The final two equations which represent the given situation are:
2x - y = -6 and 3x - y = -5.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a linear equation of two variables.
Suppose,
The larger number is 'y' and the smaller number is 'x'.
First relation,
'y' is equal to twice the sum of a smaller number (x) and 3. So we represent this as:
y = 2(x+3)
y = 2x + 6
2x - y = -6 ............(1)
Second relation,
The larger number (y) is equal to 5 more than 3 times the smaller number (x). So we represent this as:
y = 5 + 3x
3x - y = -5 .............(2)
Hence, the final two equations which represent the given situation are:
2x - y = -6 and 3x - y = -5.
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Susan saw birds and mice eating seeds on the ground. She counted 14 heads. 40 legs in total. how many birds and mice are on the ground
Answer:
Birds = 8
Mice = 6
Step-by-step explanation:
Conditions
Let the birds = x
Let the mice = y
Equations
x + y = 14
2x + 4y = 40
Solution
Using the top equation solve for x
x = 14 - y
Use this result to substitue for x
2(14 - y) + 4y = 40
Remove the brackets
28 - 2y + 4y = 40
Combine
28 + 2y = 40
Subtract 28 from both sides
28 - 28 + 2y = 40 - 28
2y = 12
Divide by 2 on both sides
2y/2 = 12/2
y = 6
Solve for x
x + y = 14
x + 6 = 14
Subtract 6 from both sides
x + 6 - 6 = 14 - 6
x = 8
Answer:
7 mice and 7 birds
Step-by-step explanation:
14 heads would mean there are 14 animals in total, as each animal has one head.
Birds have two legs, and mice have four.
2+4=6
40/6=6.67 (recurring)
6.67*2=13.3 (recurring)
6.67*4=26.67 (recurring)
Animal legs can't be in decimal numbers, so we can round the numbers.
13.3 becomes 13, 26.67 becomes 27.
13+27=40
Now we can see that there are 13 bird legs and 27 mice legs.
Divide the bird legs by 2 to get 6.5
Divide the mice legs by 4 to get 6.75
Again, we can't have a decimal of an animal, so we can round.
6.5 becomes 7, and 6.75 also becomes 7.
Therefore, there is 7 of each type of animal.
One hundred volunteers who suffer from severe depression are available for a study. Fifty are selected at random and are given a new drug that is thought to be particularly effective in treating severe depression. The other 50 are given an existing drug for treating severe depression. A psychiatrist evaluates the symptoms of all volunteers after 4 weeks in order to determine if there has been substantial improvement in the severity of the depression. What is the explanatory variable or factor in this study?
The explanatory variable or factor in this study is the type of drug given to the volunteers.
In the study, the researchers are comparing the effects of two different drugs on the severity of depression. They are interested in determining whether the new drug is more effective in treating severe depression compared to the existing drug.
Therefore, the type of drug (new drug or existing drug) is the explanatory variable or factor being investigated in this study.
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I estimated that the repairs to my car would cost $120. In fact, they cost $80. What was the percentage error?
A) 15%
B) 25%
C) 50%
D) 40%
Answer:
C) 50%
Step-by-step explanation:
Check image for explanation.
The price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the demand curve?
If the price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.
What is demand curve?Demand curve can be defined as the curve that show price of goods and services produced as well as the quantity demanded for the goods produce at a particular period of time.
The price change can be represented on the demand curve when price increase and this happen when the price of goods move from one point on a line to a higher point on the line
Therefore how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.
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How do I solve for x?
Answer:
x = 5
Step-by-step explanation:
Since this is an isosceles triangle, the two angles opposite the congruent sides are also congruent. That means that ∠A and ∠C both equal 73°, you don't even need to solve the equation with y in it. Since all the angles in a triangle add up to 180°, we know that ∠B is equal to \(180-(73*2)\), which is 34. So if \(34=6x+4\), then you can solve to get \(x=5\).
Fill in the blanks
————————-
1. When multiplying exponents with the same ___, we ____ the exponents
2. When dividing exponents with the same ____, we ____ the exponents
Answer:
When multiplying exponents with the same __base_, we ___add_ the exponents
When dividing exponents with the same __base__, we __subtract__ the exponents
Step-by-step explanation:
Pls helppp!
9 years ago, when Miko celebrated her birthday with her family, the ratio of the age of Miko to Miko's sister was 5 : 7. This year, the ratio of the age of Miko to Miko's sister is 4 : 5. How old is Miko now?