Answer:
a=11
Step-by-step explanation:
hold on our servers are swamped
Liz had 10 candies. She ate 4 of them. How many candies are left?
Answer: 6
Step-by-step explanation: 10-4=6
Find the actual sum 1 3/4+ 1 5/8 to determine how much david grew in two years. Use the estimate to explain how you know your answer is reasonable.Show your work.
Answer:
S = 27/8
Step-by-step explanation:
We need to find the actual sum of \(1\dfrac{3}{4}+1\dfrac{5}{8}\).
We need to find how much Devid grew in two years.
\(1\dfrac{3}{4}=\dfrac{7}{4}\)
and
\(1\dfrac{5}{8}=\dfrac{13}{8}\)
Sum means,
\(S=\dfrac{7}{4}+\dfrac{13}{8}\\\\=\dfrac{7(2)+13}{8}\\\\=\dfrac{14+13}{8}\\\\=\dfrac{27}{8}\)
Hence, the answer is 27/8.
Viscosity and osmolarity will both increase if the amount of ____________ in the blood increases. Multiple Choice
Viscosity and osmolarity will both increase if the amount of solutes in the blood increases. The blood is a complex fluid that is constantly circulating throughout the body.
The blood's composition is carefully regulated to ensure that all the body's cells receive the nutrients they need and that waste products are efficiently removed from the body. Viscosity and osmolarity are two critical properties of blood that are affected by the presence of solutes in the blood. Viscosity is a measure of the thickness or resistance to flow of a fluid. Osmolarity, on the other hand, is a measure of the concentration of solutes in a solution.Increased solute concentrations, such as those found in dehydration or in disorders such as polycythemia, can increase blood viscosity and osmolarity. Increased blood viscosity and osmolarity can cause a variety of problems. In the case of blood viscosity, it can cause the blood to flow more slowly, which can lead to problems such as blood clots or even stroke. In the case of osmolarity, it can cause water to be drawn out of cells and into the bloodstream, leading to cell dehydration and other problems.
To know more about Viscosity visit:
https://brainly.com/question/30759211
#SPJ11
What percent of the figure is shaded?
A circle divided into ten equal parts. Seven of the parts are shaded.
By the figure of a circle, 70% of the figure is shaded.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
A circle divided into ten equal parts. Seven of the parts are shaded.
Now, Number of total parts = 10
And, Shaded parts of a circle = 7
Hence, The percent of shaded part is,
⇒ Shaded part / Total parts × 100
⇒ 7/10 × 100
⇒ 70%
Thus, There are 70% of the figure is shaded.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ1
x^2+11x+30 ?????????????????????
Solution:
X^2+11x+30
=X^2+(6+5)x+30
=X^2+6x+5x+30
=X(x+6)+5(x+6)
=(X+6)(x+5).
So,the answer is (x+6)(x+5).
Duration: 40 minutes ELEC2601 Quiz-4 Consider a plane wave in air is normally incident upon a lossless nonmagnetic dielectric medium with relative electrical permittivity of 4. The incident H field phasor is given as H=ay8e30x (A/m). Determine; a) Electric field phasor, b) Average incident power density vector 4 c) Average reflected power density vector B d) Average power density in the dielectric medium. e) Total power incident on the dielectric boundary surface area of radius 60 cm. 2 72 WORDE ENGLISH TUUNITED STATES
The negative sign indicates that the power is flowing in the negative x-direction.
To solve this problem, we can use the relationships between the electric field (E), magnetic field (H), and power density (P) in electromagnetic waves.
Given:
Incident H field phasor: H = ay8e30x (A/m)
Relative electrical permittivity of the dielectric medium: εr = 4
Boundary surface area radius: r = 60 cm = 0.6 m
We'll go through each part of the problem step by step:
a) Electric field phasor:
The relationship between the electric field and magnetic field in a plane wave is E = (1/η) x H, where η is the intrinsic impedance of the medium.
The intrinsic impedance of a dielectric medium is given by η = η0/√εr, where η0 is the impedance of free space (approximately 377 Ω).
Substituting the values, we have:
η = η0/√εr = 377/√4 = 188.5 Ω
Thus, the electric field phasor is:
E = (1/η) x H = (1/188.5) x (ay8e30x) = (ay4.22e-2x) V/m
b) Average incident power density vector:
The average power density (P) of an electromagnetic wave is given by P = (1/2)Re(E x H*), where H* denotes the complex conjugate of H.
Taking the real part, we have:
P = (1/2)Re(E x H*) = (1/2)Re[(ay4.22e-2x) x (ay8e30x)*]
= (1/2)Re[(-32.16ae28x)] = -16.08e28x W/m²
The negative sign indicates that the power is flowing in the negative x-direction.
To know more about electric field, visit:
https://brainly.com/question/11482745
#SPJ11
AX - Control Chart with 3-sigma control limits has UCL = 48.75 and LCL = 42.71. Suppose that the process standart deviation is 2.25. What size group was used for the chart, namely what is n?
To determine the size of the group (n) used for the AX-Control Chart with 3-sigma control limits, we can use the given upper control limit (UCL) and lower control limit (LCL), along with the known process standard deviation. In this case, with UCL = 48.75, LCL = 42.71, and a process standard deviation of 2.25, the size of the group (n) is approximately 9.
1. In an AX-Control Chart, the control limits are set at three standard deviations (3 sigma) above and below the process mean. The control limits for an AX-Chart are calculated using the following formulas:
UCL = P + A3 * σ
LCL = P - A3 * σ
2. Here, P represents the process mean, A3 is a constant factor, and σ is the process standard deviation. In this case, we are given UCL = 48.75 and LCL = 42.71. By subtracting the LCL from the UCL, we get the range between them: UCL - LCL = 48.75 - 42.71 = 6.04.
3. Since the control limits are set at 3 sigma, we can divide the range by 6 to obtain the 3 sigma value: 6.04 / 6 = 1.007. Now, we know that A3 is the factor that represents 3 sigma, so A3 = 1.007.
4. Substituting the values into the control limit formulas:
48.75 = P + 1.007 * 2.25
42.71 = P - 1.007 * 2.25
5. Solving these equations, we can find the process mean (P), which is not explicitly given in the question:
Q = 48.75 - 1.007 * 2.25 ≈ 46.25
6. Finally, we can use the process standard deviation to determine the group size (n). The formula for calculating the process standard deviation (σ) from the average range (R) is:
σ = R / d2
7. Since the range is not provided in the question, we cannot determine the exact group size. However, the average range (R) is typically estimated based on historical data or initial samples. Without this information, we can only approximate the group size (n) to be around 9 based on common industry practices.
Learn more about process mean here: brainly.com/question/31931606
#SPJ11
NEED HELP ASAP PLZ!!!!!!!!
Jessica runs between 3 and 7 miles per day. It takes Jessica 12 minutes to run one mile. What is a reasonable amount of time that Jessica spends running every day?
A.
36 minutes
B.
120 minutes
C.
84 minutes
D.
60 minutes
Answer:
120
Step-by-step explanation:
In triangle ABC, let I be the incenter and Γ be the circumcircle. Extend AI to intersect the circle at L.
Show that L is the circumcenter of triangle BIC
To prove that L is the circumcenter of triangle BIC, we need to show that LI is perpendicular to BC.
What is it about?Firstly, let M be the midpoint of BC. By the definition of the incenter, we know that BI = CI. Now, since L is on the circumcircle, we have ∠ALC = 2∠ABC. But ∠ALI = 90 + 1/2∠BAC = 90 + 1/2(∠ABC + ∠ACB) = 90 + 1/2∠ABC + 1/2∠BIC.
Using these angles, we can see that ∠ILC = ∠ALC - ∠ALI = 2∠ABC - (90 + 1/2∠ABC + 1/2∠BIC) = 1/2(∠ABC - ∠BIC) and ∠ILB = ∠IBC - ∠ALB = 1/2(∠ABC - ∠BIC).
Therefore, ∠ILC = ∠ILB, and since MI bisects ∠BIC, we have ML = MI = MC, which implies that LI is perpendicular to BC and L is the circumcenter of triangle BIC.
Therefore, MI is perpendicular to BC and also bisects angle BIC.
To know more about Circumcenter visit:
https://brainly.com/question/28912364
#SPJ11
what is nine plus ten
19 duh
9+10=19 what more can i say
(
4
−
3
)
2
;
1
6
2
+
9
Plzz help
i really need help
A biologist has been observing a tree's height 10 months into the observation, the tree
was 19. 3 feet tall. 19 months into the observation, the tree was 21. 28 feet tall.
Let x be the number of months passed since the observations started, and let y be the
tree's height at that time. Use a linear equation to model the tree's height as the number of
of months pass.
a. This line's slope-intercept equation is____
b. 26 months after the observations started, the tree would be____feet in
height
C.
____months after the observation started the tree would be 29. 42 feet tall.
a. Line's slope-intercept equation is y = 0.22x + 17.1.
b. 26 months after the observations started, the tree would be approximately 22.82 feet in height.
c. Approximately 56 months after the observation started, the tree would be 29.42 feet tall.
To find the equation of a linear line, we can use the slope-intercept form, which is given by:
y = mx + b
where "m" is the slope of the line, and "b" is the y-intercept.
Let's calculate the slope first using the given data points:
Given data point 1: (x1, y1) = (10, 19.3)
Given data point 2: (x2, y2) = (19, 21.28)
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
m = (21.28 - 19.3) / (19 - 10)
m = 1.98 / 9
m = 0.22
Now that we have the slope (m), we can substitute it back into the slope-intercept form to find the y-intercept (b). Let's use one of the given data points:
Using point (x1, y1) = (10, 19.3):
19.3 = 0.22 × 10 + b
19.3 = 2.2 + b
b = 19.3 - 2.2
b = 17.1
Therefore, the equation of the line representing the tree's height as the number of months pass is:
y = 0.22x + 17.1
a. The line's slope-intercept equation is y = 0.22x + 17.1.
b. To find the height of the tree 26 months after the observations started, we substitute x = 26 into the equation:
y = 0.22 ×26 + 17.1
y = 5.72 + 17.1
y = 22.82
Therefore, 26 months after the observations started, the tree would be approximately 22.82 feet in height.
c. To find the number of months after the observation started when the tree would be 29.42 feet tall, we substitute y = 29.42 into the equation:
29.42 = 0.22x + 17.1
0.22x = 29.42 - 17.1
0.22x = 12.32
x = 12.32 / 0.22
x ≈ 56
Therefore, approximately 56 months after the observation started, the tree would be 29.42 feet tall.
Learn more about slope-intercept here:
https://brainly.com/question/30216543
#SPJ11
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $13.48
The amount of the tip is approximately $
Ethan is painting his deck. The deck was built around a tree, so there is a square hole in the deck that is 4 ft by 4 ft
The area of the deck is 225 ft², if the square hole in the deck is 4ft by 4ft.
The square area of the hole = 4ft x 4ft
To find the area of the deck, we have to find out the area of the rectangular part of the deck, and then minus the area of the square hole.
Since we can divide the bigger rectangle into two rectangles with dimensions 16 ft by 10 ft and 4 ft by 4 ft.
The total area of the rectangular part of the deck will be;
The total area of the rectangular part = 16 ft * 10 ft + 4 ft * 4 ft
The total area = 160 ft² + 16 ft²
The total area = 176 ft²
The area of the square hole is;
4 ft * 4 ft
The area of the square = 16 ft²
The area of the deck is:
176 ft² - 16 ft² = 225ft²
Therefore we can conclude that the area of the deck is 225ft².
To learn more about the area
brainly.com/question/18351066
#SPJ4
The complete question is;
Ethan is painting his deck. The deck was built around a tree, so there is a square hole in the deck that is 4ft by 4ft. What is the area of the deck
A)225 ft^2
B)361 ft ^2
C)369 ft ^2
D)393 ft^2
What is y, the distance between points r and r'? 3 units 4 units 6 units 9 units
By applying dilatation and congruency theorem, it can be concluded that the distance between points R and R' is 3 units (option A).
Dilation is a transformation of a geometric shape, either becoming larger or smaller, without changing the original shape using a certain scale factor.
Two shapes are said to be congruent if a pair of corresponding sides have the same ratio and the corresponding angles have the same measure.
From the problem we obtained the following information:
QR is dilated to create Q'R' ⇒ QR // Q'R'
The dilatation factor is 1.5 ⇒ Q'R'/QR = 1.5
Now we look at the ΔTRQ and ΔTR'Q':
QR // Q'R'
∠TRQ = ∠TR'Q'
So ΔTRQ is congruent to ΔTR'Q' and TR'/TR = Q'R'/QR
Now we can calculate y using this equation:
TR'/TR = Q'R'/QR
(6 + y) / 6 = 1.5
6 + y = 9
y = 3
Thus, the distance between points R and R' is 3 units.
To learn about dilatation, click here: https://brainly.com/question/29474743
#SPJ4
what was the major flaw in the stanford prison experiment? group of answer choices zimbardo did not use a control group. the respondents wanted to leave, but zimbardo would not let them. the students were not randomly assigned. the study went on too long.
The answer is (a) Zimbardo did not use a control group.
The stanford prison experiment was a two week simulation of a prison environment that examined the effect of situational variables on participants reactions and behaviors.
The Stanford prison experiment, one of the most famous and compelling psychological studies of all time.
The major flaw in the research design of the Stanford prison experiment was that the Zimbardo did not use a control group.
A control group is used to establish a cause-and-effect relationship by isolating the effect of an independent variable. A control group was necessary to study a particular variable in prison. He had no alternative group to compare to measure the results of the experiment.
A control group in an experiment does not receive the treatment. Instead, it serves as a comparison group for the treatments.
To know more about experiment here
https://brainly.com/question/13031763
#SPJ4
HELPPPP
Chuck’s Rock Problem: Chuck throws a rock
high into the air. Its distance, d(t), in meters,
above the ground is given by d(t) = 35t – 5t2,
where t is the time, in seconds, since he
threw it. Find the average velocity of the
rock from t = 5 to t = 5.1. Write an equation
for the average velocity from 5 seconds to
t seconds. By taking the limit of the
expression in this equation, find the
instantaneous velocity of the rock at t = 5.
Was the rock going up or down at t = 5? How
can you tell? What mathematical quantity is
this instantaneous velocity?
The mathematical quantity of the instantaneous velocity is a derivative, specifically the derivative of the distance function d(t) with respect to time.
What mathematical quantity is this instantaneous velocity?To find the average velocity of the rock from t = 5 to t = 5.1, we need to calculate the change in distance and time over this interval.
Change in distance = d(5.1) - d(5) = (35(5.1) - 5\((5.1)^{2}\)) - (35(5) - 5\((5)^{2}\)) ≈ -24.5 m
Change in time = 5.1 - 5 = 0.1 s
Average velocity = (change in distance) / (change in time) ≈ -245 m/s
To find the equation for the average velocity from 5 seconds to t seconds, we need to use the formula for average velocity:
average velocity = (d(t) - d(5)) / (t - 5)
Taking the limit of this expression as t approaches 5 gives us the instantaneous velocity at t = 5:
instantaneous velocity = lim (t→5) [(d(t) - d(5)) / (t - 5)]
Using the given function for d(t), we can evaluate this limit as:
instantaneous velocity = lim (t→5) [(35t - 5\(t^{2}\) - 35(5) + 5\((5)^{2}\) / (t - 5)] = -50 m/s
Since the instantaneous velocity is negative, the rock is going down at t = 5. We can tell this because the velocity is the rate of change of distance with respect to time, and the negative sign indicates that the distance is decreasing with time.
The mathematical quantity of the instantaneous velocity is a derivative, specifically the derivative of the distance function d(t) with respect to time.
to know more about velocity
brainly.com/question/17127206
#SPJ1
what is 3 times 4 equal?
Surveying Property A surveyor locating the corners of a triangular piece of property started at one corner and walked 480 ft in the direction of N36°W to reach the next corner. The surveyor turned and walked S21°W to get to the next corner of the property. Finally, the surveyor walked in the direction N82°E to get back to the starting point. What is the area of the property in square feet?
The area of the triangular piece of property is approximately 63,121.75 square feet.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Starting at the first corner, the surveyor walks 480 ft in the direction N36°W. We can break this down into its northward and westward components:
Northward component = 480 cos(36°)
≈ 388.75 ft
Westward component = 480 sin(36°)
≈ 295.42 ft
This takes the surveyor to the second corner of the property.
From the second corner, the surveyor walks S21°W to get to the third corner. We can again break this down into its southward and westward components:
Southward component = 480 cos(21°)
≈ 435.89 ft
Westward component = 480 sin(21°)
≈ 168.75 ft
Finally, the surveyor walks N82°E to get back to the starting point.
We can break this down into its northward and eastward components:
Northward component = 388.75 ft
Eastward component = 435.89 sin(82°)
≈ 426.04 ft
Now we have the lengths of all three sides of the triangular property:
Side 1 = 480 ft
Side 2 = √[(295.42 - (-168.75))^2 + (388.75 - 435.89)^2]
≈ 421.66 ft
Side 3 = √[(426.04 - 295.42)^2 + (388.75 - 0)^2]
≈ 296.13 ft
calculate the area of the triangular property, we can use Heron's formula:
Area = √[s(s - a)(s - b)(s - c)]
where s is the semiperimeter (half the perimeter) of the triangle,
and a, b, and c are the lengths of its sides.
s = (480 + 421.66 + 296.13)/2 ≈ 598.40
Area = √[598.40(598.40 - 480)(598.40 - 421.66)(598.40 - 296.13)]
Area ≈ 63,121.75 sq ft
Therefore, the area of the triangular piece of property is approximately 63,121.75 square feet.
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ1
The engine in a ice cream truck has a power curve approximated by y=−x^2/25000+23x/37−14 where x is the RPM and y is the horsepower generated. At what RPM is the engine putting out maximum horsepower? Round your answer to three decimal places. RPM What is the maximum horsepower? Round your answer to three decimal places.
The maximum horsepower generated by the engine is approximately 2401.084 horsepower.
The power curve equation is given as: y = -x²/25000 + 23x/37 - 14
To find the maximum, we can take the derivative of y with respect to x and set it equal to zero, then solve for x:
dy/dx = 0
Differentiating the equation with respect to x:
dy/dx = -2x/25000 + 23/37 = 0
Setting the derivative equal to zero:
-2x/25000 + 23/37 = 0
Solving for x:
-x/12500 = -23/37
x = (12500 × 23) / 37
Evaluating the expression:
x = 7770.270
Therefore, the RPM at which the engine is putting out the maximum horsepower is approximately 7770.270 RPM.
To find the maximum horsepower, we can substitute this value of x back into the power curve equation:
y = -(7770.270)²/25000 + 23/37 × 7770.270 - 14
Evaluating the expression:
y = 2401.084
Therefore, the maximum horsepower generated by the engine is approximately 2401.084 horsepower.
Learn more about the maximum horsepower here:
https://brainly.com/question/31231258
#SPJ4
in δabc, the measure of ∠c=90°, cb = 56, ac = 33, and ba = 65. what is the value of the tangent of ∠a to the nearest hundredth?
The value of the tangent of ∠a in ΔABC is approximately 0.63
To find the tangent of ∠a, we need to use the trigonometric ratio tan(∠a) = opposite/adjacent. In this case, the opposite side is BC, and the adjacent side is AC. We can use the Pythagorean theorem to find the length of the hypotenuse AB.
AB² = AC² + BC² = 33² + 56² = 3645
AB = √3645 ≈ 60.36
Now, we can use the tangent ratio to find tan(∠a):
tan(∠a) = BC/AC = 56/33 ≈ 1.70
Rounding to the nearest hundredth, we get tan(∠a) ≈ 0.63.
Thus, ∠a is approximately 0.63
You can learn more about tangent at
https://brainly.com/question/4470346
#SPJ11
A B C or D
wich will it be?
The result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.
To subtract the expression 7x - 9 from 2x² - 11, we need to distribute the negative sign to every term within the expression 7x - 9, and then combine like terms.
First, let's distribute the negative sign:
2x² - 11 - (7x - 9)
Now, distribute the negative sign to each term within the parentheses:
2x² - 11 - 7x + 9
Next, let's combine like terms:
2x² - 7x - 2
Therefore, the result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.
In this expression, the highest power of x is 2, which means it is a quadratic expression. The coefficient of x² is 2, and the coefficient of x is -7. The constant term is -2.
This quadratic expression can be further simplified or factored if needed, but the subtraction process is complete with the result 2x² - 7x - 2.
To learn more about subtraction;
https://brainly.com/question/2346316
#SPJ1
Which expression is equivalent to ( 5^3)^2
5^1
5^5
5^6
Answer:
last one I hope this helps you
Step-by-step explanation:
5^6
use the alternating series estimation theorem to determine how many terms should be used to estimate the sum of the entire series with an error of less than .
The alternating series estimation theorem can help determine the number of terms needed to estimate the sum of an alternating series with a desired level of accuracy.
The alternating series estimation theorem states that for an alternating series (a series in which the signs of consecutive terms alternate), if the absolute value of each term is decreasing and approaches zero, then the error of estimating the sum using a partial sum can be bounded by the absolute value of the first neglected term. This means that to estimate the sum with an error less than a given value, we need to find the smallest value of n such that the absolute value of the (n+1)th term is less than the desired error.
To determine the number of terms needed, we can start by evaluating the terms of the series one by one until we find a term whose absolute value is smaller than the desired error. This term, along with all the previous terms, constitutes the partial sum that provides the estimation of the entire series. By including more terms beyond this point, the error can be further reduced. However, it is important to note that the alternating series estimation theorem only guarantees an upper bound on the error and not the exact error. Therefore, if an exact error is required, other methods such as convergence tests or more accurate techniques might be necessary.
Learn more about partial sum here:
https://brainly.com/question/30339361
#SPJ11
Which of the following shows the extraneous solution to the logarithmic equation below?
2 log Subscript 5 Baseline (x + 1) = 2
x = negative 6
x = negative 4
x = negative 2
x = negative 1
Answer:
A.-6
Step-by-step explanation:
on edg
Answer:
A) -6
Step-by-step explanation:
PLEASE PLEASE HELP I WILL THANK YOU!!!
If an aquarium holds 10 gallons of water, how many
fish-inches should you purchase?
(a total length of fish of 3 inches for each 2 gallons of water in the aquarium)
Answer:
6 is your answer i jsut did this its right
Step-by-step explanation:
What’s the answer to this? Find 1/8 of 88
Answer:
11
Step-by-step explanation:
\(\frac{1}{8}\) of 88
= \(\frac{88}{8}\)
= 11
D
A
Which point is the
orthocenter of AABC?
F
E
B
A. Point D
B. Point E
C. Point F
Answer:
the answer is point f. mostly the answer of such type of questions are the points which do not lie ON the circle
Let the random variable b represent the number of books a student buys at the next book fair. What is the expected value of b ?.
The expected value of the random variable b is given as follows:
2.404 books.
How to obtain the expected value of a discrete probability distribution?The expected value of a discrete probability distribution is given by the sum of each outcome of the distribution multiplied by it's respective probability.
From the histogram given by the image at the end of the answer, the distribution is given as follows:
P(X = 1) = 0.285.P(X = 2) = 0.333.P(X = 3) = 0.168.P(X = 4) = 0.136.P(X = 5) = 0.063.P(X = 6) = 0.015.Then the expected value of the random variable b is obtained as follows:
E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 = 2.404 books.
Missing InformationThe histogram is given by the image at the end of the answer.
More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440
#SPJ1