Answer:
4
Step-by-step explanation:
Normally you would have to figure out the distance of the x- and y-components and use the Pythagorean Theorem; however, because the y-coordinates of both points are the same, you only need the x-coordinates.
You have the first point back 3, and the second point forward 1.
So starting at -3, you move 4 points to get to 1.
((-3 to -2 (1), -2 to -1 (2), -1 to 0 (3), 0 to 1 (4)))
A diver is 18 feet below sea level. After he swims up 11 feet towards the surface, what is his elevation, written as an integer?
When I searched the answer up it gave me 279 or 197
Jeanie bought a book for $8.98, a pen for $3.27 and a ruler for $1.50. if the sales tax on each of the items is 8%, what is the total amount Jenny must pay for the items including tax?
Answer:
$14.85
Step-by-step explanation:
8.98 + 3.27 + 1.5 = 13.75
13.75 x .08 = 1.1
13.75 + 1.1 = 14.85
Answer:
$14.85
Step-by-step explanation:
8.98 x.08= 0.7184
3.27 x .08= 0.2616
1.50 x .08= 0.12
8.98 + 0.72= 9.70
3.27 + .26= 3.53
1.50 + 12 =1.62
9.70+ 3.53 +1.62 = 14.85
two vertical poles have heights of 6ft and 12 ft. two ropes are stretched from the top of each pole to the bottom of the other. how far above the ground do the ropes intersect each other? (r3 - similarity
The square of the hypotenuse equals the square of the sum of the other two sides is 13.89ft
Definition Of Pythagoras Theorem :
The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.
Given:
Height of the Tent Pole = 6ft.
Base of the Pole of the Tent = 12ft.
Now we will use Pythagoras theorem to find how long the rope is.
Use of Pythagoras theorem
Hence, the length of the rope is 13.89ft.
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Paul Smith pays $50.00 a month for group health insurance. There is a $300 deductible. His medical bills for the last year were $2,600.00. Paul’s insurance company provided payment of 80% of the bills less the deductible. What was the insurance company's payment?
Answer:
$1360
Step-by-step explanation:
Smith pays a monthly payment to the insurance company = $50
So in 12 months, he pays = 12 x 50
= $ 600
Now subtracting a $ 2600 by the deduction of amount $300 , i.e. $2300.
Now multiplying it by 20 percent as the insurance company pays the 80% leaving Smith with 20%, to get $460.
Now adding $460 with $300, as these amount Smith paid and he got $760.
Now monthly payment = $760 + $600
= $1360
Correct Answer: $1,840
A right triangle has legs fand g. The length of f = 11 inches.m m angle G=73^ What is the length of leg g to the nearest tenth?
The length of leg g given the length of leg f and angle G in the right triangle is 36.3 inches.
What is the length of leg g ?
A right triangle is a 3 sided polygon that is made up of an hypotenuse. One of the angles measure 90 degrees.
G = Tan G x f
Tan 73 x 11
3.3 x 11 = 36.3 inches
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A=1/2 h(a+b) solve for h
a traveler can choose from three airlines, five hotels, and four rental car companies. how many arrangements of these services are possible?
60 possible arrangements when a traveler can choose from three airlines, five hotels, and four rental car companies.
Number of airlines = 3
Number of hotels = 5
Number of rental car companies = 4
To calculate the total number of arrangements, we will multiply these numbers together
Total number of arrangements = Number of airlines × Number of hotels × Number of rental car companies
Total number of arrangements = 3 × 5 × 4
Total number of arrangements = 60
Therefore, there are 60 possible arrangements when a traveler can choose from three airlines, five hotels, and four rental car companies.
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50 points PLEASEE I NEED THIS IN MINUTES sytem of functions thingg
Answer:
is b i think
hope my answer help you
Which model represents this word problem?
Jasmine goes to the store with 14 dollars. She spends 5 dollars. How many dollars does she have left?
Answer:
9
Step-by-step explanation:
if she has 14 and then spends 5 she will have 9. 4-5=9
super easy geometry problem!! 10 points!! will mark brainliest!!! *attached below*
Step-by-step explanation:
Given: AD = 6cm
m∠ACB = 90°
m∠ACD = 30°
CA = 12cm Leg opposite 30° theorem
m∠DCB = 60° Complementary angles
m∠CBD = 30° Sum of angles in a triangle
BA = 24 Leg opposite 30° theorem
BD = BA - AD = 18
Hope this helps!!!
Have fun in RSM :)
if the sample mean is 70 and standard error of the sample mean is 8, what will be the 90% confidence interval assuming normal distribution? the sample size was 30.
The 90% Confidence interval will be (56.84 - 83.16).
The value of the sample is 30 and
the value of sample mean (X) = 70
The standard error(SE) = 8
for 90% CI in normal distribution , we have the z-value = 1.645
and the margin of error will be = ± SE x z-value
= ± 8 x 1.645
= ± 13.16
The confidence interval is given by = mean ± Margin of error
∴ The lower limit will be = mean - margin of error
= 70 - 13.16
= 56.84
The upper limit will be = mean + margin of error
= 70 + 13.16
= 83.16
∴ 90% CI of normal distribution is ( 56.84 - 83.16 )
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Two sides of a rectangular prism are x+5 and x-1, if the volume is X cubed +10 X squared +19 X -30. Find the missing side.
ik how to do the algrebra itself but can someone pls explain what this problem is telling me to do
Using the volume x³ + 10x² + 19x - 30, the missing side of the rectangular prism is (x + 6)
How to find the missing side of the rectangular prism?Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x - 30.
Let's find the missing side of the rectangular prism.
Therefore,
volume of a rectangular prism = lwh
where
l = lengthw = widthh = height of the prismTherefore,
volume of the prism = x³ + 10x² + 19x - 30
Let's factorise it to find the missing side length
x³ + 10x² + 19x - 30 = 0
(x - 1)(x² + 11x + 30)
let's factorise x² + 11x + 30
x² + 11x + 30
x² + 5x + 6x + 30
x(x + 5) + 6(x + 5)
(x + 6)(x + 5) = 0
Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)
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Which number is equivalent to the fraction 14/5?
A. 1 9/5
B. 2 4/5
C. 2
D. 3
Answer:
B. 2 4/5
Step-by-step explanation:
A rectangular mural measures 890 centimeters by 2891
centimeters. hailey creates a new mural that is 66 centimeters
longer.
what is the perimeter of hailey's new mural?
centimeter(s)
The perimeter of Hailey's new mural is 7826 centimeters.
How to find the perimeter of Hailey's new mural, we need to calculate the sum of all the sides of the rectangle?
To find the perimeter of Hailey's new mural, we need to calculate the sum of all the sides of the rectangle. Since the length of the new mural is 66 centimeters longer than the original, we can add 66 to each side of the original mural to find the dimensions of the new mural.
Original mural dimensions: 890 cm by 2891 cm
New mural dimensions: (890 + 66) cm by (2891 + 66) cm
New mural dimensions: 956 cm by 2957 cm
To calculate the perimeter, we add up all the sides of the rectangle:
Perimeter = 2 * (Length + Width)
Perimeter = 2 * (956 cm + 2957 cm)
Perimeter = 2 * 3913 cm
Perimeter = 7826 cm
Therefore, the perimeter of Hailey's new mural is 7826 centimeters.
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Hailey's new mural has a perimeter of 5956 centimeters. This was calculated by adding the length and width of the new mural, and doubling it.
Explanation:The perimeter of a rectangle is calculated using the formula: Perimeter = 2 * (length + width).
To find the perimeter of Hailey's new mural, we first have to calculates its dimensions. The question states that the new mural is 66 centimeters longer than the original mural.
So, if the original mural is 890 cm by 2891 cm, Hailey's new mural would be 890+66 cm by 2891 cm. The perimeter of Hailey's new mural (measured in centimeters) is hence 2 * ((890 + 66) + 2891).After adding these dimensions together we get 5956 cm, which is the perimeter of Hailey's new mural.
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Evaluate the integral. (Use C for the constant of integration.)
∫te^-6t dt
To evaluate the integral ∫te^-6t dt, we use integration by parts. Let u = t and dv/dt = e^-6t. Then we have:
du/dt = 1
v = ∫dv/dt dt = ∫e^-6t dt = -(1/6)e^-6t
Using the formula for integration by parts, we have:
∫te^-6t dt = uv - ∫vdu/dt dt
= te^-6t * (-1/6)e^-6t - ∫(-1/6)e^-6t dt (using the formula again with u = -1/6 and dv/dt = e^-6t)
= (-1/6)te^-12t + (1/36)e^-6t + C
Therefore, the final answer is (-1/6)te^-12t + (1/36)e^-6t + C, where C is the constant of integration.
To evaluate the integral ∫te^(-6t) dt, we will use integration by parts. Integration by parts follows the formula: ∫udv = uv - ∫vdu, where u and v are differentiable functions of t.
Let's choose:
u = t, so du = dt
dv = e^(-6t) dt, so v = -1/6 e^(-6t)
Now apply the integration by parts formula:
∫te^(-6t) dt = -1/6 te^(-6t) - ∫(-1/6 e^(-6t) dt)
Now we just need to find the integral of -1/6 e^(-6t) dt:
∫(-1/6 e^(-6t) dt) = -1/6 (-1/6 e^(-6t)) + C = 1/36 e^(-6t) + C
So the final answer is:
∫te^(-6t) dt = -1/6 te^(-6t) + 1/36 e^(-6t) + C
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Find the slope of a line through the points (2,5) and (3, 5).
Select the best answer from the choices provided.
A.
1
B.
-1
Oc.
0
OD.
undefined
Answer:
0
Step-by-step explanation:
Suppose cost and revenue are given by
C(x) = 7x; R(x) = 9x − 0.01x^2
where costs and revenue are in dollars and x is the quantity of the commodity measured in ounces.
a. Find the marginal cost, marginal revenue, and marginal profit functions.
marginal cost C'(x)=
marginal revenue R'(x)=
marginal profit P'(x)=
The marginal cost, revenue, and profit functions can be written as:
C'(x) = 7
R'(x) = 9 - 0.02x
P'(x) = 2 - 0.02x
To find the marginal cost, revenue, and profit functions, we need to take the first derivative of the cost and revenue functions with respect to x.
C(x) = 7x
Taking the derivative of C(x) gives us:
C'(x) = 7
R(x) = 9x − 0.01x^2
Taking the derivative of R(x) gives us:
R'(x) = 9 - 0.02x
The marginal profit is calculated by subtracting the marginal cost from the marginal revenue. Therefore, the marginal profit function can be written as:
P'(x) = R'(x) - C'(x)
P'(x) = 9 - 0.02x - 7
P'(x) = 2 - 0.02x
The marginal cost function C'(x) tells us the rate of change of the cost with respect to the quantity produced. It means that for each additional ounce of the commodity produced, the cost increases by $7.
The marginal revenue function R'(x) tells us the rate of change of the revenue with respect to the quantity produced. It means that for each additional ounce of the commodity sold, the revenue increases by $9 - 0.02x.
The marginal profit function P'(x) tells us the rate of change of the profit with respect to the quantity produced. It means that for each additional ounce of the commodity produced, the profit increases by $2 - 0.02x.
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f(x) = 4x² + 5x - 3
g(x) = 4x³
3x² + 5
Find (f+g)(x).
Answer:
\(4x^3+7x^2+5x+2\)
Step-by-step explanation:
Given:
\(f(x)=4x^2+5x-3\)
\(g(x)=4x^3+3x^2+5\)
\(\begin{aligned}\implies (f+g)(x)=f(x)+g(x) & = (4x^2+5x-3) + (4x^3+3x^2+5) \\& = 4x^2+5x-3+4x^3+3x^2+5 \\& = 4x^3+4x^2+3x^2+5x-3+5 \\& = 4x^3+7x^2+5x+2 \\\end{aligned}\)
help! i will give brainliest!!!
£1500 between David & sammie ratio 3:7
plz refer the above..
hope it helps you out!!
Answer:
David=$450 Sammie=$1050
Step-by-step explanation:
$1500
The ratio is 3:7
Total units= 10
1500/10=150
Therefore each unit is $150
1. 3x$150=$450
2. 7x$150=$1050
OR
1. 3x$150=$450
2. $1500-$450=$1050
Use stokes' theorem to evaluate f(x,y,z)=arctan(x^2yz^2)i+x^2yj+x^2z^2k s is the cone x=sqrt(y^2+z^2), 0<=x<=2 oriented in the direction of positive axis
To use Stokes' theorem to evaluate the given vector field, we need to find the curl of the vector field and calculate the surface integral over the cone.
First, let's find the curl of the vector field f(x, y, z) = arctan(x^2yz^2)i + x^2yj + x^2z^2k.
The curl of a vector field F = P i + Q j + R k is given by the following formula:
curl F = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k
In this case, P = arctan(x^2yz^2), Q = x^2y, and R = x^2z^2.
Taking the partial derivatives, we get:
∂P/∂x = 0, ∂P/∂y = 2x^2z^2, ∂P/∂z = 2x^2yz^2
∂Q/∂x = 2xy, ∂Q/∂y = x^2, ∂Q/∂z = 0
∂R/∂x = 2xz^2, ∂R/∂y = 0, ∂R/∂z = 2x^2z
Now, substituting these values into the formula for the curl, we have:
curl f = (2x^2z^2 - 0)i + (0 - 2xz^2)j + (2xy - 2x^2yz^2)k
= 2x^2z^2i - 2xz^2j + 2xyk
Next, we need to calculate the surface integral over the cone.
The surface integral can be evaluated using the formula:
∫∫S (curl f) · dS = ∫∫D (curl f) · (r_u × r_v) dA
Here, (r_u × r_v) is the cross product of the partial derivatives of the position vector r(u, v) with respect to the parameters u and v, and dA is the differential area element.
In this case, the cone is given by x = sqrt(y^2 + z^2), 0 <= x <= 2, and we can parameterize the surface as r(u, v) = u sqrt(1 + v^2) i + u v j + u sqrt(1 + v^2) k, where 0 <= u <= 2, -1 <= v <= 1.
Taking the partial derivatives of r with respect to u and v, we have:
r_u = sqrt(1 + v^2) i + v j + sqrt(1 + v^2) k
r_v = u v i + j + u v k
Now, calculating the cross product r_u × r_v, we get:
r_u × r_v = (v sqrt(1 + v^2) - u v sqrt(1 + v^2)) i - (sqrt(1 + v^2) - u v) j + (u v - v sqrt(1 + v^2)) k
Finally, substituting the values into the surface integral formula, we have:
∫∫S (curl f) · dS = ∫∫D (2x^2z^2i - 2xz^2j + 2xyk) · ((v sqrt(1 + v^2) - u v sqrt(1 + v^2)) i - (sqrt(1 + v^2) - u v) j + (u v - v sqrt(1 + v^2)) k) dA
Now, you can evaluate this surface integral to find the answer.
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What is the slope of y=20x+50 and what dose it represent
In a ________, the researcher combines the actual results of a number of studies; the analysis consists of a set of statistical procedures that employ effect sizes to compare a given finding across many different studies.
In a meta analysis, the researcher combines the actual results of a number of studies.
What is the type of statistical study?Statistical study is used to obtain the data and examine this data in the way, that its effectiveness can be measured.
There are three main types of statistical study-
A. Experiment-In this type of statistical study, the observer or the researcher see the change in the variable of a study with change in other variable experimentally by providing the necessary conditions.B. Observational study-In the observational study of statistics, the value of the variables are recorded for different associates of the set.C. Survey-In the survey type of study, the data is gathered by directly asking the queries to the people regarding the study.When the researcher combines the actual results of a number of studies, then this study is called the meta analysis.
Here, in this analysis, he consists of a set of statistical procedures that employ effect sizes to compare a given finding across many different studies.
Thus, In a meta analysis, the researcher combines the actual results of a number of studies.
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Michael draws a straight line on a graph that passes through the point (0,
3).
Choose the equation that best fits Michael's line.
B.
A
y = x - 3
C. y = 3x
D.
y = x + 3
y = 3x +1
its b so please mark me as a brainliest
How do i do this problem
Step-by-step explanation:
(0 + a) = a
due to the addition property of zero.
what remains is
a + 8
Decide if the statement is giving you the x or y value of the function
Answer: 1a. f(2) is an x-value
1b. f(x) = 4 is a y-value
1c. f(-10) is an x-value
1d. m(x) = 64 is a y-value
2. f(4) = 17
3. x = 39
Step-by-step explanation: In general, if there is an equal sign, the output f(x) is a y-value. if the expression is f(#) with a number in the parentheses, that is the value to insert for x.
2.) f(x) = 2x + 9
f(4) = 2(4) + 9
f(4) = 8 + 9
f(4) = 17
3. f(x) = 5x -3
192 = 5x -3
192 + 3 = 5x
195 = 5x
39 = x
Interpreting a Z score from a sample proportion. Suppose that you conduct a hypothesis test about a population proportion and calculate the Z score to be 0.47. Which of the following is the best interpretation of this value? For the problems which are not a good interpretation, indicate the statistical idea being described. 19 a. The probability is 0.47 that the null hypothesis is true. b. If the null hypothesis were true, the probability would be 0.47 of obtaining a sample proportion as far as observed from the hypothesized value of the population proportion. c. The sample proportion is 0.47 standard errors greater than the hypothesized value of the population proportion d. The sample proportion is equal to 0.47 times the standard error. e. The sample proportion is 0.47 away from the hypothesized value of the population. f. The sample proportion is 0.47
If the null hypothesis were correct, there would be a 0.47 percent chance of getting a sample proportion that deviates from the population proportion's hypothesised value
What is proportion?Proportion refers to the relationship between two quantities or numbers, indicating how they are related to each other in size or amount.
According to question:The best interpretation of a Z score of 0.47 for a sample proportion is:
b. If the null hypothesis were correct, there would be a 0.47 percent chance of getting a sample proportion that deviates from the population proportion's hypothesised value.
This interpretation is in line with the definition of a Z score, which is a measure of how many standard deviations a sample statistic (in this case, the sample proportion) is not what would be anticipated if the null hypothesis were true. A Z score of 0.47 means that the sample proportion is 0.47 standard deviations away from the expected value under the null hypothesis. Therefore, the interpretation that the probability of obtaining a sample proportion as far or farther than observed from the hypothesized value of the population proportion is 0.47, assuming the null hypothesis is true, is the most appropriate.
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7. What is the value of the postfix expression 6 3 2 4 + - *:
a) Something between -5 and -15
b) Something between 5 and -5
c) Something between 5 and 15
d) Something between 15 and 100
The value of the postfix expression 6 3 2 4 + - * is 18, which falls between 15 and 100. Therefore, the correct answer is d) Something between 15 and 100.
Here is the step-by-step of how to evaluate the postfix expression:
1. Start with the first two numbers, 6 and 3, and the first operator, *. Multiply 6 and 3 to get 18.
2. Move on to the next two numbers, 2 and 4, and the next operator, +. Add 2 and 4 to get 6.
3. Now you have 18 and 6, and the last operator, -. Subtract 6 from 18 to get 12.
4. The final result is 12.
Therefore, the value of the postfix expression 6 3 2 4 + - * is 12, which falls between 15 and 100. The correct answer is d) Something between 15 and 100.
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4. Calculate the values for the ASN curves for the single sampling plan \( n=80, c=3 \) and the equally effective double sampling plan \( n_{1}=50, c_{1}=1, r_{1}=4, n_{2}=50, c_{2}=4 \), and \( r_{2}
Single Sampling Plan: AQL = 0, LTPD = 3.41, AOQ = 1.79 Double Sampling Plan: AQL = 0, LTPD = 2.72, AOQ = 1.48
The values for the ASN (Average Sample Number) curves for the given single sampling plan and double sampling plan are:
Single Sampling Plan (n=80, c=3):
ASN curve values: AQL = 0, LTPD = 3.41, AOQ = 1.79
Double Sampling Plan (n1=50, c1=1, r1=4, n2=50, c2=4, r2):
ASN curve values: AQL = 0, LTPD = 2.72, AOQ = 1.48
The ASN curves provide information about the performance of a sampling plan by plotting the average sample number (ASN) against various acceptance quality levels (AQL). The AQL represents the maximum acceptable defect rate, while the LTPD (Lot Tolerance Percent Defective) represents the maximum defect rate that the consumer is willing to tolerate.
For the single sampling plan, the values n=80 (sample size) and c=3 (acceptance number) are used to calculate the ASN curve. The AQL is 0, meaning no defects are allowed, while the LTPD is 3.41. The Average Outgoing Quality (AOQ) is 1.79, representing the average quality level of outgoing lots.
For the equally effective double sampling plan, the values n1=50, c1=1, r1=4, n2=50, c2=4, and r2 are used. The AQL and LTPD values are the same as in the single sampling plan. The AOQ is 1.48, indicating the average quality level of outgoing lots in this double sampling plan.
These ASN curve values provide insights into the expected performance of the sampling plans in terms of lot acceptance and outgoing quality.
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GIVING BRAINLEST The following is a chemical reaction.
Which side of the chemical Reaction is the REACTANTS,
and which side is the PRODUCTS?
Oxygen
Hydrogen
+
=
Water
2H + 0 = 24,0
AR
Both sides have reactants of the reaction
The left side is the Reactants and the right side is the products
Both sides have products of the reaction
K
The right side is the Products and the left side is the reactancts