Answer:
shouldn't there be a pictures with this Question
Step-by-step explanation:
Alex is 22 years older than Lana. Four years ago Lana’s age was one-half of Alex’s current age. How old was Alex four years ago?
Answer:
33
Step-by-step explanation
22 divided by 2 is 11
it says four years ago so add 11 and 4 and that equals 15
she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33
22 divided by 2 is 11
it says four years ago so add 11 and 4 and that equals 15
she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33
33 is the answer.
A line is perpendicular to y = -1/5x + 1 and intersects the point negative (-5,1) what is the equation of this perpendicular line?
Answer: y = 5x + 26
Step-by-step explanation:
To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.
We can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Substituting the values, we get:
y - 1 = 5(x - (-5))
Simplifying further:
y - 1 = 5(x + 5)
Expanding the brackets:
y - 1 = 5x + 25
Rearranging the equation to the slope-intercept form (y = mx + b):
y = 5x + 26
Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.
As an estimation we are told £3 is €4 convert £13.50 to euros
Answer:
€18 is the answer
If you’ve been given an estimate, use that to determine how much £13.50 would be by cross multiplying
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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Assume that in a given year the mean mathematics sat score was 572, and the standard deviation was 127. a sample of 72 scores is chosen. What is the probability that the sample mean score is less than 567?
According to the Central Limit Theorem, for a sufficiently large sample size, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution.
To calculate the probability, we need to convert the sample mean score to a z-score and then find the corresponding area under the standard normal distribution curve.
Calculate the standard error of the mean (SE):
SE = σ / sqrt(n)
SE = 127 / sqrt(72)
SE ≈ 14.96
Calculate the z-score:
z = (X - μ) / SE
z = (567 - 572) / 14.96
z ≈ -0.334
Find the probability corresponding to the z-score:
We can find the area to the left of the z-score -0.334. Let's denote this probability as P(z < -0.334).
The probability that the sample mean score is less than 567 is approximately equal to P(z < -0.334).
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(7х3 – 8х2 - 13х + 2) - (7x - 1)
Answer:
The answer is 7x^3 - 8x^2 - 20x + 3
Step-by-step explanation:
Simplify the expression.
Hoped this helped!
help! ignore pencil work! any comment with a link or answer that dosnt relate or i found out later that thats the wrong answer will be deleted! PLEASE SHOW WORK
Answer: x = 13, Angle ABE = 51°
Step-by-step explanation:
Since angle ABC is 90° and angle EBC is 39°, subtract them.
90° - 39° = 51°
This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).
51 = 3 (x + 4)
Multiply 3 by x and 4.
51 = 3x + 12
Subtract both sides by 12.
39 = 3x
Divide both sides by 3.
x = 13
Donna cut away 7.75 meters of rope. Before that, she had 12 meters of rope. How much rope does Donna have left?
Answer: 4.25 meters of rope
Step-by-step explanation:
Because Donna is losing 7.75 meters of rope from her original 12 meters, this problem can simply be represented as 12 - 7.75, which equals 4.25.
Hope it helps :) and let me know if you want me to elaborate.
There are 135 people in a sport centre. 73 people use the gym. 73 people use the swimming pool. 67 people use the track. 36 people use the gym and the pool. 35 people use the pool and the track. 32 people use the gym and the track. 14 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?
Answer:
P = 11/135 = 0.0815
Step-by-step explanation:
we can said that:
14 people use all three facilities18 people use just gym and track (32 people use the gym and the track less the 14 people that use all three facilities)21 people use just pool and track (35 people use the pool and the track less the 14 people that use all three facilities)22 people use just gym and pool (36 people use the gym and the pool less the 14 people that use all three facilities)14 people use just the track (67 people use the track less the 18 people that use just the gym and the track, the 21 people that use just the pool and the track and 14 people that use all three facilities)16 people use just the pool (73 people use the swimming pool less the the 21 people that use just the pool and the track, the 22 people that use just the gym and the pool and 14 people that use all three facilities)19 people use just the gym (73 people use the gym less the 18 people that use just the gym and the track, the 22 people that use just the gym and the pool and 14 people that use all three facilities)So, there are 124 people that use the gym, the pool or the track. This is calculated using the information above as:
14 + 18 + 21 + 22 + 14 + 16 + 19 = 124
Finally, there are 11 ( 135 - 124 = 11 ) people that don't use any facility, so the probability that a person doesn't use any facility is:
P = 11/135 = 0.0815
Answer:
0.0815
Step-by-step explanation:
What is the midpoint of the line segment graphed below?
(-1,2)
(9,5)
Answer:
1,3
Step-by-step explanation:
Answer:
(4, 2.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( \(\frac{x_{1}+x_{2} }{2}\), \(\frac{y_{1}+y_{2} }{2}\) )
Here (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (9, 5) , then
midpoint = ( \(\frac{-1+9}{2}\), \(\frac{2+5}{2}\) ) = ( \(\frac{8}{2}\), \(\frac{7}{2}\) ) = (4, 3.5 )
Solve x∕10 = –7.
Question 7 options:
A)
x= –17
B)
x = 3
C)
x = –0.7
D)
x = –70
Answer:
D) x = -70
Step-by-step explanation:
You can do the opposite to find out what x equals. The opposite of division is multiplication. So, -7 · 10 = -70.
Check your answer by plugging in -70 for x. So -70/10 = -7. This is correct which means x = -70
16 cm to 44.2 cm increase or decrease
Answer:
Increase
Step-by-step explanation:
Answer:
Increase.
Step-by-step explanation:
44.2cm is a higher number than 16cm.
I NEED HELP WITH THIS OMG
Answer:
its actually hard
Step-by-step explanation:
it is hard OMG
Answer:
∠ EDF =104°
Step-by-step explanation:
The measure of the chord- chord angle EDF is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is
∠ EDF = \(\frac{1}{2}\) (arc EF + arc GU )
= \(\frac{1}{2}\) (147 + 61)°
= \(\frac{1}{2}\) × 208°
= 104°
John worked "x" hours this week and Shanique worked eight hours less than John. Write an algebraic expression for the number of
hours that Shanique worked this week.
A) 8x
B) X-8
C)8-X
D)X - 8
Answer:
B or D, I can't tell from these answer choices. X-8
Step-by-step explanation:
Shanique has 8 less questions than John (X).
Natalie saves $35 each month to buy a DVD player. The DVD player
costs $197.99. Will Natalie be able to buy the DVD player in 5 months?
If not, how much more money does she need?
Multiply amount she saves per month by 5 months:
35 x 5 = $175
$175 is less than the price of the player so she won’t have enough to buy it.
197.99 - 175 = $22.99
She needs $22.99.more
DARLCS Scholars
Complete the frequency table for the following set of data. You may optionally click a
number to shade it out.
20, 27, 5, 6, 29, 7, 17,
11, 18, 5, 15, 17, 20, 27,
22, 13, 6, 28, 27, 23, 24,
17
Click the tally box to count up. The minus counts down.
Interval Tally Frequency
0-4
5-9
10-14
15-19
20-24
25-29
The required tally table is
Interval Tally Frequency
0-4 - 0
5-9 | | 2
10-14 | | 2
15-19 |||| 4
20-24 ||||| |||| 9
25-29 ||| 3
Creating a tally table:To create a tally table, follow these steps:
1. Write down the intervals or categories for the data.
2. Create a tally mark (a vertical line) for each observation that falls into that interval/category.
3. After every fifth tally mark, draw a diagonal line across the previous four tally marks to make counting easier.
4. Add up the total number of tally marks in each interval/category to determine the frequency.
Here we have
The data is 20, 27, 5, 6, 29, 7, 17, 11, 18, 5, 15, 17, 20, 27, 22, 13, 6, 28, 27, 23, 24, 17
To make the tally table follow the above steps
Hence, we will get the following tally and frequency table
Interval Tally Frequency
0-4 - 0
5-9 | | 2
10-14 | | 2
15-19 |||| 4
20-24 ||||| |||| 9
25-29 ||| 3
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Please help me with this!!
Answer:
15.6
Step-by-step explanation:
1 times 12 is 12 3/10 of 12 is 3.6 12+3.6=15.6
Answer:
$15.60
Step-by-step explanation:
multiply 1.3 (which is the same as 1 3/10) and 12
The graph shows the amount of gas that Dario's car uses to travel different distances.
please help Complete the statement about the graph
Answer is 20 and 240
Unitary Method :
The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.
Here, for 1 gallons 20 miles are travelled and for 2 gallons 40 miles. so on.
So, here the multiplication factor is 20.
i.e., the miles travelled are 20 times the gallons used.
Now, 1 gallon, 20 miles are travelled, then for 12 gallons, the miles travelled are 20 miles * 12 = 240 miles.
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Please help need by tomorrow it would be very very very appreciated
can y⁵ x y be simplified??
Answer:
Yes,
\(y^{6} x\)
Step-by-step explanation:
\(y^{5} xy = y^{5} *y*x = y^{6} x\)
Given: Quadrilateral PQRS on the coordinate plane.
• Quadrilateral P'Q'R'S' is the image of the quadrilateral PQRS after a
single transformation.
• Quadrilateral P"Q"R"S" is the image of quadrilateral P'Q'R'S' after
a single transformation.
Which statement is true? Select all that apply.
A. If P'Q'R'S' is formed by translating PQRS 4 units to the right and 5 units down, then
PQRS P'Q'R'S'
B. If P'Q'R'S' is formed by reflecting PQRS over the x-axis and then over the y-axis,
then PQRS P'Q'R'S'
C. If P'Q'R'S' is formed by rotating PQRS 60° about the origin, then PQRS =P'Q'R'S'
D. If P'Q'R'S' is formed by rotating PQRS 90° clockwise about point Q, and P"Q"R"S"
is formed by rotating P'Q'R'S 270° counterclockwise, then PQRS =P"Q"R"S".
E. If P'Q'R'S' is formed by reflecting PQRS over the line y=x and P"Q"R"S" is formed
by rotating P'Q'R'S 90° clockwise, then PQRS =P"Q"R"S".
The True Statement is
If P'Q'R'S' is formed by rotating PQRS 90° clockwise about point Q, and P"Q"R"S" is formed by rotating P'Q'R'S 270° counterclockwise, then PQRS = P"Q"R"S". If P'Q'R'S' is formed by reflecting PQRS over the line y=x and P"Q"R"S" is formed by rotating P'Q'R'S 90° clockwise, then PQRS = P"Q"R"S".A. If P'Q'R'S' is formed by translating PQRS 4 units to the right and 5 units down, then PQRS is not necessarily equal to P'Q'R'S'.
Translation is a rigid transformation that preserves the shape and size of the original figure but may change its position.
B. If P'Q'R'S' is formed by reflecting PQRS over the x-axis and then over the y-axis, then PQRS is not necessarily equal to P'Q'R'S'.
Double reflection over perpendicular lines is equivalent to a 180-degree rotation, which may change the orientation of the original figure.
C. If P'Q'R'S' is formed by rotating PQRS 60° about the origin, then PQRS is not necessarily equal to P'Q'R'S'.
Rotation preserves the shape and size of the original figure but changes its orientation and position.
D. If P'Q'R'S' is formed by rotating PQRS 90° clockwise about point Q, and P"Q"R"S" is formed by rotating P'Q'R'S 270° counterclockwise, then PQRS = P"Q"R"S".
The total rotation is equivalent to a 180-degree rotation about point Q, which preserves the shape and size of the original figure.
E. If P'Q'R'S' is formed by reflecting PQRS over the line y=x and P"Q"R"S" is formed by rotating P'Q'R'S 90° clockwise, then PQRS = P"Q"R"S". Reflecting over the line y=x is equivalent to a 90-degree counterclockwise rotation, so the two transformations cancel each other out, and the resulting figure is congruent to the original.
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Y= 3x^2 what is the value of y when x=2
Answer:12
Step-by-step explanation:
When x = 2, y = 3(2^2) = 3(4) = 12. So the value of y when x = 2 is 12.
. A two-dimensional incompressible flow is defined with the velocity functions u=2xy-t² v=x²-y²+10t a. Check if the flow is physically possible. b. If possible, check if the flow is rotational or not. c. If possible, derive the velocity potential function. d. If possible, derive the stream function of the flow. e. Is the flow permanent?
a. The flow is physically possible, b. The flow is rotational, c. The velocity potential function is φ(x,y) = x^2y - xt^2 + yt^2, d. The stream function is ψ(x,y) = x^2 - y^2 + 10xyt, e. The flow is not permanent.
a. The flow is physically possible because the velocity field is defined everywhere and is continuous.
b. The flow is rotational because the curl of the velocity field is not zero. The curl of the velocity field is given by:
curl(u,v) = (-2y + 20t, 2x - 20t, 0)
The curl is not zero because the z-component is not zero. This means that the flow has vorticity, which is a measure of how much the fluid is rotating.
c. The velocity potential function is given by:
φ(x,y) = x^2y - xt^2 + yt^2
The velocity potential function is a scalar field that can be used to calculate the velocity field. The velocity field can be calculated using the following formula:
u = -grad(φ)
v = -grad(ψ)
where φ and ψ are the velocity potential functions.
d. The stream function is given by:
ψ(x,y) = x^2 - y^2 + 10xyt
The stream function is a scalar field that can be used to calculate the streamlines of the flow. The streamlines are the curves that are tangent to the velocity field.
e. The flow is not permanent because the velocity field is not time-independent. The velocity field depends on the time variable t. This means that the flow will change over time.
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Solve for x: 5x + one third (3x + 6) > 14
Answer:
x > 2
Step-by-step explanation:
5x + 1/3 * (3x + 6) > 14
5x + x + 2 > 14
6x + 2 > 14
6x > 12
x > 2
Answer:
x>2
Step-by-step explanation:
6x+2>14
6x>12
x>2
hope this helped a bit
What does the STO button on a calculator do?
Answer:
The STO button stands for store so it will save the number in the memory and to get it back press m
4)
Solve the equation for x.
x + 19 = 42
A)
x = 23
B)
X = 61
C)
X = -23
D)
X = -61
Answer:
23
Step-by-step explanation:
do 42-19 helps me solve it because if you do subtract it most the time I think it will work
I need help w proofs, i suck at them, im supposed to use SAS for this one
Statements Reasons
1. ABCD is a rectangle Given
2. AD = BC Opposite sides of a rectangle are congruent
3. ADC = angleABC = 90$ Definition of a rectangle
4. triangle ADC cong triangle$ABC Right angles are congruent and AD = BC
5. AC = AC Reflexive property of equality
6. AD = AD Reflexive property of equality
7. ADC cong ABC SSS congruence of triangles
8. AADC is congruent to ABCD CPCTC (corresponding parts of congruent triangles are congruent)
What is a rectangle?A rectangle is a two-dimensional geometric shape that is characterized by having four straight sides and four right angles.
Its opposite sides are equal in length, and its adjacent sides are perpendicular to each other. The area of a rectangle is calculated by multiplying the length and width of the rectangle, while the perimeter is obtained by adding the lengths of all four sides.
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please help me fast I am confused!!! ( Find the y-intercept in the following equation)
\( \frac{1}{9} \)
Answer:
y = 1/9
Step-by-step explanation:
To attain the y-intercept you should let x = 0.
So we will be having:
y = (3/2)(0) + 1/9
y = 1/9 and the coordinates are (0,1/9)
hopefully this makes sense
:)
Write each expression so that all exponents are positive.
x⁵y⁻⁷z⁻³
The final expression is x⁵ / (y⁷ * z³).To write the expression so that all exponents are positive, we can use the following rules:
1. For positive exponents, leave the term as it is.
2. For negative exponents, move the term to the denominator and change the sign of the exponent.
Applying these rules to the given expression x⁵y⁻⁷z⁻³, we can rewrite it as:
x⁵ / (y⁷ * z³)
In this expression, x⁵ remains in the numerator since it already has a positive exponent. However, both y⁻⁷ and z⁻³ have negative exponents, so we move them to the denominator and change the signs of their exponents.
Thus, the final expression is x⁵ / (y⁷ * z³).
Note: The term y⁻⁷ in the numerator becomes y⁷ in the denominator, and the term z⁻³ in the numerator becomes z³ in the denominator.
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x2+6x−16 vertex form
Answer:
Hello,
Step-by-step explanation:
\(x^2+6x-16\\\\=x^2+2*3x+3^2-9-16\\\\=(x+3)^2-25\\\)