Answer:
0
Step-by-step explanation:
y = 1/2x + c
Put x as 1, and y as 1/2.
1/2 = 1/2(1) + c
1/2 - 1/2 = c
0 = c
Answer:
The answer would be 0.
Step-by-step explanation:
This is the slope formula. y=mx+b in which b equals the y-intercept, and considering the pattern going on in the graph, when y is 0, so will the x be.
A boy standing between two pillars of equal height observes the angle of a
elevation of the top of pillars to be 30°. Approaching 15m towards any one
of the pillar, the angle of elevation is 45°. Find the height of the pillars and the distance between them
Answer:
15m
Step-by-step explanation:
did the math
Jack has to build a treehouse and needs to find out the area of the floor of the treehouse. It is 6 ft by 7 ft
Answer:
42 is the answers o your question
Which of the following angles are supplementary to _1?
Plsss Help
What number should replace the question mark below?
Step-by-step explanation:
2/3 * 150 = 1/2 * ?
100 = 1/2 * ? Multiply both sides by 2 to get
200 = ?
if a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'? (–5, –2) (1, –12) (4, –15) (–9, –6)
Answer: The coordinates of D are (1,-12) .
Step-by-step explanation:
Given : Translation rule : (x, y) → (x + 6, y – 10) is applied to figure ABCD.
From the figure below, we have figure ABCD in which
The coordinates of D = (-5,-2)
According to the given translation rule :
D(-5,-2) → D'(-5 + 6, -2 – 10) (coordinates of image point D')
i.e. D(-5,-2) → D'(1, -12) [-5+6 = 1, -2-10 = -12]
Hence, the coordinates of D are (1,-12) .
Answer:
B. (1, –12)
Step-by-step explanation:
edge2021
Use the original price and the markup to find the retail price.
Original price: $70; Markup: 15%
Answer:
$80.50
Step-by-step explanation:
To find the retail price:
Find 15% of $70. 0.15 × $70 = $10.50Add the markup price to the original price. $70 + $10.50 = $80.50Final answer - $80.50In the pressure equation, P represents the pressure on the object in pascals (Pa), F represents the force applied on the object in newtons (N), and A represents the area, in square meters, of the object over which the pressure is applied.
The pressure inside the container is 81.625 pascals
Calculating pressureFrom the question, we are to determine the pressure applied inside the container
From the Pressure equation, we have that
P = F/A
Where P is the pressure
F is the force
and A is the area
From the given information,
F = 1306 N
A = 16 m²
P = 1306/16
P = 81.625 pascals
Hence, the pressure inside the container is 81.625 pascals
Here is the complete question:
In the pressure equation, P represents the pressure on the object in pascals (Pa), F represents the force applied on the object in newtons (N), and A represents the area, in square meters, of the object over which the pressure is applied. What is the pressure applied inside a container having an inner area of 16 square meters over which a force of 1,306 newtons is applied?
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What is the value of the expression 4x^2 - 3xy + 2y^2 when x = 2 and y = 3?
To find the value of the expression 4x^2 - 3xy + 2y^2 when x = 2 and y = 3, we can substitute these values into the expression and simplify:
4x^2 - 3xy + 2y^2 = 4(2)^2 - 3(2)(3) + 2(3)^2
= 16 - 18 + 18
= 16
Therefore, the value of the expression 4x^2 - 3xy + 2y^2 when x = 2 and y = 3 is 16.
In determining whether a process is in statistical control, the _____ should be analyzed first.
In determining whether a process is in statistical control, the R-chart should be analyzed first.
Given that, in determining whether a process is in statistical control, the _____ should be analyzed first.
What is statistical control?A quality control technique called statistical process control uses statistical techniques to monitor and manage a process. This makes it possible to maintain an effective process that generates more products that meet specifications while using less trash.
When measuring small subgroups (n 10) from a process at regular intervals, an R-chart is a sort of control chart that is used to track the process variability (as the range). The value of a subgroup range is represented by each point on the chart.
Therefore, in determining whether a process is in statistical control, the R-chart should be analyzed first.
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PROBLEM SOLVING
Question 8
Three sets of traffic lights (A, B and C) all turn red at 9 a.m. exactly. Light set A turns red every 2 minutes, light
set B turns red every 3 minutes and light set C turns red every 5 minutes. How long does it take for all three
lights to turn red again at the same time?
What is the value of 8
64 is A value of 8 but 8 is just 8
Step-by-step explanation:
Convert 40 g to mg
Plz help me
Answer:
40000 milligrams
Hope it helps :)
20 POINTSSS!!! Graph the ellipse.
Name the coordinates of the center, endpoints of major axis, endpoints of minor axis, and foci of the ellipse.
The coordinates of the center, endpoints of major axis, endpoints of minor axis, and foci of the ellipse. is (2,-1+3√3) & (2,-1 -3√3).
Calculation:-
\(\sqrt{1-\frac{a^{2} }{b^{2} } } =\sqrt{1-\frac{9}{36} } =\sqrt{\frac{36-9}{36} }\)
= \(\sqrt{\frac{27}{36} } = \frac{\sqrt{3} }{2}\)
=( b,H ± be) = (2, -1 ± 6x \(\frac{\sqrt{3} }{2}\))
(2,-1+3√3) & (2,-1 -3√3).
The long axis is called the major axis and the short axis is called the minor axis. Each major axis endpoint is an ellipse vertex, and each minor axis endpoint is an ellipse vertex. The center of the ellipse is the center of both the major and minor axes. The endpoints of the principal axis are called vertices.
The midpoint of focus is the center of the ellipse. The minor axis is a line segment perpendicular to the major axis, passing through the center, and having ellipses at both ends. Ellipse focal points are two reference points that help draw the ellipse. The foci of the ellipse are on the major axis of the ellipse, equidistant from the origin. An ellipse represents the location of a point that is a constant distance from two fixed points.
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7 ÷ 3(6) - 7 + (-1) × 99 ÷ 7
Which polynomial represents the sum below?
(3x² + 3) + (3x²+x+4)
A. 9x²+x+7
B. 9x²+x+12
C. 6x²+x+12
D. 6x²+x+7
Answer:
D
Step-by-step explanation:
(3x² + 3) + (3x² + x + 4 ) ← remove parenthesis
= 3x² + 3 + 3x² + x + 4 ← collect like terms
= 6x² + x + 7
Answer:
Choice D
Step-by-step explanation:
(3x² + 3) + (3x²+x+4)
Removing brackets,
3x²+3+3x²+x+4Bringing like (equal) terms and numbers together,
3x²+3x²+3+4+xSimplifying,
6x²+7+xThis could be the rewritten as
6x²+x+7Choice D
A trapezoid was broken into a triangle and rectangle. The base of the triangle b is ______cm.
determine the value of x for the following triangle. recall that the sum of angles in a triangle is 180 degrees.
The sum of the interior angle of the triangle is 180°. Then the value of the variable x will be 12°.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The angles of the triangle are given below.
(8x - 1)°, (3x + 4)°, and (3x + 9)°
We know that the sum of the interior angle of the triangle is 180°. Then the equation will be
(8x - 1)° + (3x + 4)° + (3x + 9)° = 180°
14x + 12 = 180°
14x = 168°
x = 12°
The value of the variable x will be 12°.
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A simply supported beam had a length of 10 meters with lateral supports. The lateral supports created a segment in this manner: AB= 2.5 m BC = 2.5 m CD = 5.0 m The uniform load is applied at its entire span while a point load is applied at the midpoint. The loads are as follows: WD = 53 kN/m WL 106 kN/m PL = 135 kN If W30 x 99 A992 steel section is used, determine the A36 steel plate dimension if it is laid at the concrete with a 28-day compressive strength of 28 MPa.
The A36 steel plate dimension for the given scenario can be determined by analyzing the load conditions and ensuring that the plate can support the applied loads and meet the design requirements.
The simply supported beam has a length of 10 meters with lateral supports at specific segments. The uniform load of 53 kN/m and 106 kN/m is applied over the entire span, while a point load of 135 kN is applied at the midpoint. The beam is made of a W30 x 99 A992 steel section. To lay a steel plate on the concrete, we need to consider the compressive strength of the concrete, which is given as 28 MPa at 28 days.
To determine the A36 steel plate dimension, we need to calculate the maximum bending moment and shear forces induced by the applied loads. These values will help in selecting an appropriate plate dimension that can resist the bending and shear stresses. Additionally, we need to ensure that the plate thickness is sufficient to support the loads and meet the design requirements. The plate dimensions can be determined through structural analysis and design calculations using appropriate engineering principles and design codes.
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Donald has a rectangular top to his shoe box. The top has the same perimeter and area. The width of the rectangula is 4 inches. Write an equation to find the length of Donald's shoe top. Then solve the equation to find the length. Equation: Length = inches
The equation to find the length of Donald's shoe top is 2(length + 4) = length. The length of Donald's shoe top is 8 inches.
Let's denote the length of the rectangular top as L (in inches) and the width as W (in inches). We are given that the width is 4 inches, so W = 4.
The perimeter of a rectangle is given by the formula P = 2(L + W). In this case, the perimeter is the same as the area, which means P = L. Therefore, we can write the equation as 2(L + 4) = L.
To solve this equation, we first distribute the 2: 2L + 8 = L.
Next, we isolate the variable L by subtracting L from both sides: 2L - L + 8 = 0.
Simplifying the equation, we have L + 8 = 0.
Finally, we subtract 8 from both sides to solve for L: L = -8.
However, since the length of a physical object cannot be negative, we disregard this solution. Therefore, there is no solution for L = -8.
In this case, there is no length that satisfies the given conditions.
The equation does not have a real solution, which means there is no valid length for Donald's shoe top with a width of 4 inches and the same perimeter and area.
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What is the yield to maturity (YTM) on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time? The yield to maturity is ?
The yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.
Yield to maturity (YTM) is the total return anticipated on a bond or other fixed-interest security if the security is held until it matures. Yield to maturity is considered a long-term bond yield, but is expressed as an annual rate. In this problem, the present value (PV) of the simple loan is $1,500, the future value (FV) is $7,500, the time to maturity is five years, and the interest rate is the yield to maturity (YTM).
Now we will calculate the yield to maturity (YTM) using the formula for the future value of a lump sum:
FV = PV(1 + YTM)n,
where,
FV is the future value,
PV is the present value,
YTM is the yield to maturity, and
n is the number of periods.
Plugging in the given values, we get:
$7,500 = $1,500(1 + YTM)5
Simplifying this equation, we get:
5 = (1 + YTM)5/1,500
Multiplying both sides by 1,500 and taking the fifth root, we get:
1 + YTM = (5/1,500)1/5
Adding -1 to both sides, we get:
YTM = (5/1,500)1/5 - 1
Calculating this value, we get:
YTM = 0.3714 or 37.14%
Therefore, the yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.
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Jennifer Davis deposited \$2,600 today in an account paying 7 percent interest annually. (Round intermediate calculotions to 8 decimal places, e9.251251245) What would be the simple interest eamed on
Jennifer Davis will earn $910.00 in simple interest on her investment.
The principal amount is $2,600.
The interest rate is 7% per year.
The time period is 5 years.
To calculate the simple interest, we can use the following formula:
simple interest = principal * interest rate * time
Plugging in the values for the principal, interest rate, and time period, we get:
simple interest = 2600 * 0.07 * 5 = 910
Therefore, Jennifer Davis will earn $910.00 in simple interest on her investment in 5 years.
In words, the simple interest is calculated by multiplying the principal amount by the interest rate and the time period. In this case, the principal amount is $2,600, the interest rate is 7%, and the time period is 5 years. Therefore, the simple interest is $910.00.
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symplify the following equation 28 - 3(2+4) divided by 9
Answer:
10 / 9
Step-by-step explanation:
[ 28 - 3 ( 2 + 4 ) ] / 9
= [ 28 - 3 ( 6 ) ] / 9
= [ 28 - 18 ] / 9
= 10 / 9
A medical researcher is working on a new treatment for a certain type of cancer. The average survival time after diagnosis on the standard treatment is two years. In an early trial, she tries the new treatment on 3 subjects who have an average survival time after diagnosis of four years. Although the survival time has doubled, the results are not statistically significant, even at the 0.10 significance level. Which of the following explains the result? Select all that apply.
A. The alternative hypothesis could really be true but because the sample size is small, the power is very low so the researchers are likely to run an experiment whose results lead them to make a type II error.
B. The placebo effect is present, which limits statistical significance.
C. Although the survival time has doubled in the experiment, the statistical analysis proves that in reality the actual average survival time on the new treatment is only two years.
D. The null hypothesis could be true and there is no difference between the new and standard treatments survival rate. The reason there is a difference in survival rates in this data set can be reasonably explained by chance selection of subjects.
E. There is definitely not a difference if the p-value is that large.
The result suggests that A) The alternative hypothesis could really be true but because the sample size is small, the power is very low so the researchers are likely to run an experiment whose results lead them to make a type II error.
This result suggests that although the new treatment appears to double survival time, the difference is not statistically significant. This could be due to a type II error, which occurs when the null hypothesis is not rejected even though it is false. In this case, the alternative hypothesis (that the new treatment is effective) could be true, but the small sample size makes it difficult to detect a significant difference. This highlights the importance of statistical power, which is the probability of detecting an effect if it actually exists. In this case, the low statistical power means that the researchers are more likely to make a type II error and fail to detect the effectiveness of the new treatment.
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The two trains above are docked at St. Mark's Train Station and are assigned to parallel tracks.
At 7am, Train #941 leaves the station traveling 48 mph. Three hours later, Train #940 leaves
the station traveling in the same direction as Train #941. At 5pm, Train #940 catches Train
#941.
Find the speed of Train #940.
Helppppp
Answer:
The speed of Train #940 is 68.\(\overline{571458}\) mph
Step-by-step explanation:
The given parameters of the w=question are;
The time at which train #941 leaves the station = 7 a.m.
The speed with which train #941 travels, v = 48 mph
The time at which train #940 leaves the station = 3 hours after train #941
Therefore;
The time at which train #940 leaves the station = 3 hours + 7 a.m. = 10 a. m.
The direction of train #940 = The direction of train #941
The time at which train #940 catches train #941 = 5 p.m.
We have;
The time, 't', (after departure of train #941) it takes train #940 to catch train #941, is given as follows;
t = 5 p.m. - 7 a.m.
∴ t = 17:00 hours - 07:00 hours = 10 hours
The time (after departure of train #941) it takes train #940 to catch train #941, t = 10 hours
The distance from St. Mark's Train Station train #940 catches Train #941, 'd', is given as follows;
d = The speed of travel of train #941 × t
∴ d = 48 mph × 10 h = 480 miles
The distance from St. Mark's Train Station train #940 catches Train #941, d = 480 miles
The time train
The time, t₂, it takes Train #940 to catch up with train #941 is given as follows;
t₂ = 5 p.m. - 10 a.m. = 17:00 hours - 10:00 hours = 7 hours
The speed of Train #940, v₂ = d/t₂
∴ v₂ = (480 miles)/(7 hours) = 68.\(\overline{571458}\) mph
The speed of Train #940, v₂ = 68.\(\overline{571458}\) mph
help, today is the deadline. please kindly help me
Answer:
120
Step-by-step explanation:
20 time 4 equals 80, if 2/3 is 80 than 1/3 is 40 and all together is 120
You are filling a 5-L fish tank using a 250-mL container. How many full containers are required to fill the fish tank?
A.
10 containers
B.
16 containers
C.
20 containers
D.
25 containers
Step-by-step explanation:
5 liters is 5000 millilitres.
So in order to fill as much fish tanks as possible, we need to divide it as the 5000 litres is equally divided among fish tanks so: 5000/250 = 20 containers so the answer is c
Answer: C. 20 containers
Step-by-step explanation: There are 1000-mL in 1-L. Since you are filling a 5-L fish tank, you must multiply 1000 by 5 to find the total number of mL in the 5-L tank, 5000 mL. Now, you have to divide 5000 by 250 to find the total number of full containers required to fill the fish tank. Therefore, your answer would be 20 containers.
i-90 is the longest freeway in the us, stretching from seattle to boston. how many miles is it? 2,481 3,021 4,371
The Interstate 90 freeway in the US is (D) 123.9 miles.
What is Interstate 90?In the US state of Illinois, I-90 travels through the northern region of the state roughly from northwest to southeast. It travels south to Rockford from the Wisconsin state line at South Beloit before turning east-southeast to reach the Indiana state line in Chicago. Before entering Indiana, I-90 travels 124 miles (200 km) through a range of landscapes, including farmland west of the Fox River Valley, medium-density suburbs west of O'Hare International Airport, Downtown Chicago, and the center of the industrial southeast side of Chicago. The Illinois Department of Transportation is responsible for maintaining the rest of the route (IDOT). The freeway has a total length of 123.9 miles.Therefore, the Interstate 90 freeway in the US is (D) 123.9 miles.
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Correct question:
i-90 is the longest freeway in the us, stretching from Seattle to Boston. how many miles is it?
a. 248.1
b. 302.1
c. 437.1
d. 123.9
5. Let U₁, U₂,,Un be subspaces of V. Prove that n₁ U₁ is a subspace of V.
To prove that n₁ U₁ is a subspace of V, we need to show that it satisfies the three properties of a subspace: closure under addition, closure under scalar multiplication, and contains the zero vector.
Closure under addition: Let u and v be two vectors in n₁ U₁. Since U₁ is a subspace, it is closed under addition. Therefore, u + v is also in U₁. Since n₁ is a scalar, n₁(u + v) is in n₁ U₁, showing closure under addition.
Closure under scalar multiplication: Let u be a vector in n₁ U₁ and c be a scalar. Since U₁ is a subspace, it is closed under scalar multiplication. Therefore, cu is also in U₁. Since n₁ is a scalar, n₁(cu) is in n₁ U₁, showing closure under scalar multiplication.
Contains the zero vector: Since U₁ is a subspace, it contains the zero vector, denoted as 0. Since n₁ is a scalar, n₁*0 is also the zero vector. Therefore, the zero vector is in n₁ U₁.
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PLEASE HURRY!!! what is the slope of the line in the graph?
Answer:
1
Step-by-step explanation:
rise/run
rise is 1
run is 1
1/1=1
hope this helps :3
if it did pls mark brainliest
Chelsey wants to join a fitness club. The fitness club charges an intail membership fee of $55 and a monthly fee of 19.50 she has $250 to spend on a membership at the fitness club