the value of the expression when f = "-4," g = 5, and h =3/4 "-8h-2(5+f^3)+7g^ is 287.
What is value of expression?When the variables and constants in the expression are assigned values, the expression's value is the result of the calculation detailed by it. In an algebraic expression, letters are able to represent numbers.
You must replace a number by each parameter and perform arithmetic operations to analyze an algebraic expression.
Given expression,
-8h - 2(5 + f³) + 7g²
Also given ,
f = -4 , g = 5 and h = 3/4
By substituting the values,
-8 x 3/4 - 2 ( 5 + (-4)³) + 7 x 5²
= (-8 x 3/4) - 2(5-64) + (7 x 25)
= -6 -2( -59) + 175
= -6 + 118 + 175
= 112 + 175
= 287
So the value of expression -8h - 2(5 + f³) + 7g² = 287.
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foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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A coral reef is 2 miles due south of its closest point along a straight shoreline. A visitor is staying in a cabin that is 4 miles west of that point. The visitor is planning to go from the cabin to the coral reef. Suppose the visitor runs at a rate of 6 mph and swims at a rate of 3 mph. How far should the visitor run to minimize the time it takes to reach the coral reef
Answer:
5.54 miles
Step-by-step explanation:
1. Assume she runs up to a point that is x miles to the east of the coral reef:
distance running =
distance swimming =
2. Times:
time= distance / speed
time running =
time swimming =
3. Total time
time running + time swimming:
4. Minimize time
The minimum time is when the derivative of the function of time is zero.
Find the derivative of T(x), using rule of the sum, the derivative of the sum is the sum of the derivatives, and the chain rule:
Solve for x:
5. Distance the visitor should run to minimize the time
Hence, the visitor should run 5.54 miles.
please mark me brainliest!
Use appropriate descriptive statistics to summarize the transmission failure data. 2. Develop a 95% confidence interval for the mean number of miles driven until transmission failure for the population of automobiles with transmission failure. Provide a managerial interpretation of the interval estimate. 3. Discuss the implication of your statistical findings in terms of the belief that some owners of the automobiles experienced early transmission failures. 4. How many repair records should be sampled if the research firm
Answer:
Hello your question is incomplete below is the missing part of the question
Metropolitan Research, Inc., a consumer research organization, conducts surveys designed to evaluate a wide variety of products and services available to consumers. In one particular study, Metropolitan looked at consumer satisfaction with the performance of automobiles produced by a major Detroit manufacturer. A questionnaire sent to owners of one of the manufacturer's full-sized cars reviewed several complaints about early transmission problems. To learn more about the transmission failures, Metropolitan used a sample of actual transmission repairs provided by a transmission repair firm in the Detroit area. The following data show the actual number of miles driven for 50 vehicles at the time of transmission failure:
Miles
85092
39323
64342
74276
74425
37831
77539
32609
89641
61978
66998
67202
89341
88798
59465
94219
67998
40001
118444
73341
77437
116803
59817
72069
53500
85288
32534
92857
101769
25066
79294
138114
64090
63436
95774
77098
64544
53402
32464
65605
121352
69922
86813
85586
59902
85861
69568
35662
116269
82256
4.) How many repair records should be sampled if the research firm wants the population mean number of miles driven until transmission failure to be estimated with a margin of error of 5000 miles? Use 95% confidence.
answer : 1) Min value = 25070 1st quarter = 60420,Median = 72700,Mean = 73340,3rd quarter = 86580,Max value = 138100
2) ( 66438.73, 80241.87 )
3) The statistical results shows that some owners of the automobiles experienced early transmission failures
4) 95
Step-by-step explanation:
1) The transmission failure ( using descriptive statistics )
Min = 25070
1st quarter = 60420
Median = 72700
Mean = 73340
3rd quarter = 86580
Max = 138100
2) managerial interpretation of interval estimate
given 95% confidence interval
a = 0.05
z(0.025) = 1.96
Hence the 95% confidence interval for the mean number of miles driven until transmission failure
= xbar +/- Z*s/vn
⇒ 73340.3 +/- 1.96*24898.72 * \(\sqrt{50}\)
= ( 66438.73, 80241.87 )
3) The findings shows that some owners of the automobiles experienced early transmission failures
4 ) number of repair records
n = ( Z * S/E) ^2 ------- 1
Where : Z = 1.96, S = 24898.72, E = 5000
= 1.96 * 24898.72 / 5000 ) ^2
= 95
Use the image below to find y
Answer:
y = 7
Step-by-step explanation:
since the 2 triangles are congruent then corresponding angles are congruent , so
∠ R = ∠ F , that is
13y - 1 = 90 ( add 1 to both sides )
13y = 91 ( divide both sides by 13 )
y = 7
Synthetic division. (X^3-8x^2+17x-10)+{x-5
Answer:
https://www.symbolab.com/
Step-by-step explanation:
it will help trust me
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
9,16,23,...
Find the 46th term.
The 46th term of the sequence is 324.
We have,
To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.
Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference
of 7.
To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:
a(n) = a(1) + (n - 1) d
where a(1) is the first term, d is the common difference, and n is the term number we want to find.
Using the given information, we have:
a(1) = 9
d = 7
n = 46
Plugging these values into the formula, we get:
a (46) = 9 + (46 - 1)7
a (46) = 9 + 45 (7)
a(46) = 9 + 315
a(46) = 324
Therefore,
The 46th term of the sequence is 324.
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Differentiate the function with respect to x. Shot steps
Differentition of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
Given,
\(y=log_{2}x^{3}.(5x^{4}+2)\)
We have to differentiate with respect to x.
y'=xy'+yx'
\(x=log_{2}x^{3}\)
\(y=5x^{4}+2\)
\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x^{3}} .3x^{2}\)
\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
Hence, differentiation of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
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Lisa owes $2 to each of her 6 friends. What amount represents Lisa’s debt? *
Answer:
-12
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
because if you do negative 3 times 6 it will give you -12
A study investigating the links between health risks and education surveyed adults in a metropolitan area and found that 19% of those without a high school degree, 15% of those with a high school degree/GED, and 7% of those with a college degree smoke cigarettes daily.
For this analysis, what is the explanatory variable?
Metropolitan area
Adults
Smoking Status
Education
According to the situation presented, the explanatory variable is education
An explanatory variable is a term that refers to any factor that can influence the response or outcome of an investigation.
According to the above, education is the explanatory variable because the level of education is a factor that directly influences the result of the research given that the higher the level of education, the higher the incidence of smoking.
According to the above, the correct answer is education (option D).
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Using The slope formula find the slope of the line through the given points (5,9) and (8,6)
Answer:
m= -1
Step-by-step explanation:
m= y2-y1/x2-x1
m= 6-9/8-5
m= -3/3= -1
Three grade seven classes were raising money for a
charity. Class A raised $647.53. Class B raised $80.91
more than Class A. Class C raised
as much money
as Class B. How much did the three classes raise in total?
Answer:
Class A raised $647.53. Since class B raised $80.91 more than class A, then class B raised $728.44. If class B Raised as much money as class C, we multiply $728.44 by 2, and then add $647.53, we get our final answer of $2,104.41
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
make a table for f(x) = 2.5x − 10.5 from 2-6. I just need the numbers
Answer:
1
∶
−
*
0
.
1
Step-by-step explanation:
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
The most appropriate interpretation for the slope of the data given is the height of water in the pool increases by 2 inches per minute. Option (1) is correct.
The slope of a line, also known as its gradient, is the value of the steepness or direction of a line in a coordinate plane. Slope can be calculated using various methods given a line equation or the coordinates of points on a straight line.
Given that
Time Height
2 8
4 12
6 16
8 20
10 24
The slope of the line = 2
A line's slope is also known as its gradient or rate of change.
The slope can be positive or negative; positive slope values indicate an increase in x as y increases and vice versa.
A negative slope indicates that one variable decreases as the other increases.
Because the slope value given here is positive, we can conclude that the height of the water increases over time.
As a result, the height of the water rises by 2 inches per minute.
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(You will get brainliest if you give a long answer) You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangular prism and half a cylinder. The front pocket is also a rectangular prims. Use the diagram to find the volume of your new backpack.
Explain how you calculated the answer using complete sentences and proper grammar.
*see attachment for diagram
Answer:
Volume of new backpack = 1,299.84 in.³
Step-by-step explanation:
Volume of the new back pack = volume of the front pocket + volume of the main section of the backpack
✔️Volume of the front pocket = volume of rectangular prism = L*W*H
L = 8 in.
W = 4 in.
H = 2 in.
Volume of the front pocket = 8*4*2 = 64 in.³
✔️Volume of the main section of the back pack = volume of the rectangular prism + volume of the half cylinder
= L*W*H + ½(πr²h)
L = 12 in.
W = 10 in.
H = 7 in.
r = 6 in.
h = 7 in.
Plug in the values into the equation
Volume of the main section of the backpack = 12*10*7 + ½(π*6²*7)
= 840 + ½(791.68)
= 1,235.84 in.³
✅Total volume of the new backpack = 64 + 1,235.84 = 1,299.84 in.³
Help please I'll give Brainlyest
Answer:
B.) 3x=15
Step-by-step explanation:
This is because you multiply 3 by x and if x=5 then it would be 3x5 thus resulting in 15
1) Plug 5 into all the spots for x. See if it makes the equation true.
A. 2+5 = 3 Nope
B. 3(5) = 15 Yep
C. 5/2 = 10 Nuh-uh
D. 5-7 = 12 Nah
B is the answer :)
I'm not sure if you need the answer to #2 but I'll answer it anyway. :)
2) An equation has to have a solution. This means it has an equal sign. C is the only one that has an equal sign.
C is the answer :)
What do numbers have a difference of 8
Answer:
20-12=8
here it is the difference is 8.
A parabola that passes through the point (8, 28) has vertex (-2, 8). Its line of symmetry is parallel to the y-
axis.
Find equation of the parabola: y =
When x 18, what is the value of y:
What is the average rate of change between x = -2 and x = 18:
The equation of the parabola is y = 1/5( x + 2 )² + 8.
When x = 18 the value of y is 88 and the average rate of change between x = - 2 and x = 18 is 4.
The general equation of the parabola is given as:
y = a(x – h)² + k where ( h, k ) is the vertex of the parabola.
We have, the vertex as ( - 2, 8 ) and the parabola passes through ( 8, 28 ).
Then,
y = a(x – h)² + k
28 = a( 8 - (-2) )² + 8
28 = a(10)² + 8
28 - 8 = a(10)²
100a = 20
a = 20/100 = 1/5
Therefore, the equation of the parabola will be:
y = a(x – h)² + k
y = 1/5( x + 2 )² + 8
Now, when x = 18:
y = 1/5( x + 2 )² + 8
y = 1/5( 18 + 2 )² + 8
y = 1/5( 20 )² + 8
y = 80 + 8 = 88
Now, the change between x = - 2 and x = 18:
Then,
y = f(18) = y = 1/5( 18 + 2 )² + 8 = 1/5(20)² + 8 = 88
And;
y = f( - 2) = 1/5( -2 + 2 )² + 8 = 1/5(0)² + 8 = 8
Therefore the average rate of change between x = - 2 and x = 18 will be:
= [ f(18) - f(-2) / ( 18 - (-2) ) ]
= ( 88 - 8 ) / 20
= 80/20
= 4
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The total amount repaid on a loan is found by using the formula A = p + prt, where A is the total amount
paid, p is the principal, r is the rate, and t is the time. If t = 5, r = 0.06, and p = 200, what is the value
of A?
**Hint** Evaluate the expression p + prt for t = 5, r = 0.06, and p = 200
Answer:
it's easy
just use the formulary given and insert the values to Their given letters
pls help me on this
Answer:
Each box will have $14
Step-by-step explanation:
The problem divides the total bill into 5 boxes so divide the total bill ($70) by 5.
plzzzzzzzzz help me on dis
Answer:
a
Step-by-step explanation:
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.
How to explain the informationIn this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.
By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.
Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.
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Find (f/g)(x)
f(x)=√ x^2-1
g(x)√ x-1
A. √ x+1
B. √ x-1
C.√ -x^2/-x+1
D.√ 1/x+1
Answer:
option A is the Answer
Step-by-step explanation:
hope it helps
I need a bit of help please I am confused
Answer:
16
Step-by-step explanation:
5x / -6 = -40 / 3
Cross multiply
5x * 3 = -6 * -40
15x = 240
x = 16
Answer:
The value of x is 16.
Step-by-step explanation:
\(\star{\tt{\underline{\underline{\purple{CONCEPT : -}}}}}\)
Here, we will use the below following steps to find a solution using the transposition method:
Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.\(\star{\tt{\underline{\underline{\pink{SOLUTION : -}}}}}\)
Solve for X.
\(\implies{\sf{\dfrac{5x}{ - 6} = \dfrac{ - 40}{3}}}\)
Enter your answer is the box.
\(\begin{gathered}\qquad{\dashrightarrow{\sf{\dfrac{5x}{ - 6} = \dfrac{ - 40}{3}}}}\\\\\qquad{\dashrightarrow{\sf{5x \times 3 = - 40 \times - 6}}}\\\\\qquad{\dashrightarrow{\sf{15x = 240}}}\\\\\qquad{\dashrightarrow{\sf{x = \dfrac{240}{15}}}}\\\\\qquad{\dashrightarrow{\sf{x = \cancel{\dfrac{240}{15}}}}}\\\\\qquad{\dashrightarrow{\sf{x = 16}}}\\\\\qquad\star{\underline{\boxed{\sf{\red{x = 16}}}}}\end{gathered}\)
Hence, the value of x is 16.
\(\rule{300}{2.5}\)
Assuming A has the same value, the given equations form a system of two linear equations. Solve this system using an algebraic approach and interpret your answer. a. t = 5 The two investments will reach the same value in 5 years. c. t = 1000 The two investments will reach the same value in 1000 years. b. t = 20 The two investments will reach the same value in 20 years. d. t = 10 The two investments will reach the same value in 10 years.
The two investments will reach the same value in 10 years.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have the equation to model the value [A] of an investment of $54 at 9.26% for t years as A = 54 + 5t. Similarly, the equation to model the value, A, of an investment of $84 at 2.38% for t years is given by A = 84 + 2t.
We have the equations as follows -
A = 54 + 5t
A = 84 + 2t.
Graph both the equations and the point of intersection will be the common solution. Refer to the graph attached. We get t = 10 years.
AlternativelyA = 54 + 5t
A = 84 + 2t.
Equationg both, we get -
54 + 5t = 84 + 2t
5t - 2t = 84 - 54
3t = 30
t = 10 years
Therefore, the two investments will reach the same value in 10 years.
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[The given question is incomplete. The complete question is -
The formula A = P + Prt represents the value, A, of an investment of P dollars at a yearly simple interest rate, r, for t years. The equation to model the value, A, of an investment of $54 at 9.26% for t years is given by
A = 54 + 5t.
The equation to model the value, A, of an investment of $84 at 2.38% for t years is given by
A = 84 + 2t.
Assuming A has the same value, the given equations form a system of two linear equations. Solve this system using an algebraic approach and interpret your answer.
a.t = 5. The two investments will reach the same value in 5 years.
c.t = 1000. The two investments will reach the same value in 1000 years.
b.t = 20. The two investments will reach the same value in 20 years.
d.t = 10. The two investments will reach the same value in 10 years.]
Which of the following are exterior angles? Check all that apply.
Answer:<5 and <4 are exterior angles
Step-by-step explanation:
Because they are the only ones outside it they are the only ones that are exterior angles!
<!> Brainliest is appreciated! <!>
Answer:
for AL Its 3 and 4
Translate the following sentence into an equation.
Fifteen minus the product of three and a number will equal six.
Answer:
r u stu ped
Step-by-step explanation:
stu ped
5,10,15,20,25 what is the common difference
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
Formula D = m/V
V= 7 mL
D = 3 g/mL
What is the mass of the object in grams g?
Do not include the units in your answer.
Pamela prepared 16 kilograms of dough after working 2 hours. How many hours did Pamela
work if she prepared 72 kilograms of dough? Solve using unit rates.
hours
Answer:
Pamela worked 9 hours if she prepared 72 kilograms of dough.
Step-by-step explanation:
First we divide 72 by 16.
72 ÷ 16 = 4.5
Next we multiply 4.5 by 2.
4.5 * 2 = 9
So, the answer is 9 hours.
Hope this helps! :)
7/12 divided by 2/9
Answer:
\( = \frac{7}{12} \div \frac{2}{9} \\ = \frac{7}{12} \times \frac{9}{2} \\ = \frac{63}{24} \\ = 2. 625\)