Answer:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{7}{2}x - 16[/tex]
Required
The difference quotient for h
The difference quotient is calculated as:
[tex]\frac{f(x + h) - f(x)}{ h}[/tex]
Calculate f(x + h)
[tex]f(x) = \frac{7}{2}x - 16[/tex]
[tex]f(x+h) = \frac{7}{2}(x+h) - 16[/tex]
[tex]f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16[/tex]
The numerator of [tex]\frac{f(x + h) - f(x)}{ h}[/tex] is:
[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)[/tex]
[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16[/tex]
Collect like terms
[tex]f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16[/tex]
[tex]f(x + h) - f(x) = \frac{7}{2}h[/tex]
So, we have:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h[/tex]
Rewrite as:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}[/tex]
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]
Answer:
It is A.
Step-by-step explanation:
Just took the test
Kelly Slater and Andy Irons are in a surf competition among 10 competitors.
If all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place
2nd? Write your answer as a simplified fraction.
Answer:
The probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
Step-by-step explanation:
Since Kelly Slater and Andy Irons are in a surf competition among 10 competitors, to determine, if all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place 2nd, the following calculation must be performed:
1/10 x 1/9 = X
0.1 x 0.11 = X
0.01111 = X
1/90 = 0.011111 = X
Therefore, the probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
The Harper family purchased a small microwave for their family room. The diagonal of the door measures 15 inches. The door also has an area of 108 square inches. What are the length and width of the microwave door? Enter values separated by a comma.
Answer:
length and width = 12,9
Step-by-step explanation:
100 POINTS HELP!
I WILL GIVE BRAINLIEST TO THE BEST ANSWER
FAKE ANSWERS WILL BE REPORTED
Answer:
1.
In triangle ∆AFD ,∆BGD ,∆CHD
<AFD=<BGD=<CHD
[being corresponding angle]
<DAF=<DBG=<DCH
[being corresponding angle]
<D is common for all.
So
∆AFD ~∆BGD ~∆CHD
[By A .A .A. axiom]
look
again
at picture pasted
By AAA axiom ∆AFD , ∆BGD , ∆CHD are similar with each other.
What is Similarity of triangle?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
a). In ΔAFD, ΔBGD, ΔCHD
∠AFD = ∠BGD = ∠CHD [being corresponding angle]
∠DAF = ∠DBG = ∠DCH [being corresponding angle]
∠D is common for all.
So ∆AFD ~∆BGD ~∆CHD [By A .A .A. axiom]
Learn more about similarity of triangle from:
https://brainly.com/question/25882965
#SPJ2
What the correct answer
Its ‘B’
100% sure
Plz mark me brainliest
In 15–20, write the number positioned at each point.
Answer:
See below.
Step-by-step explanation:
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5
A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5
Therefore the points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5.
To learn more on Number System click:
https://brainly.com/question/19532363
#SPJ1
The number of new customers n that visit a dry cleaning shop in one year is directly related to the
amount a in dollars) spent on advertising. This relationship is represented by n3 = 13,824a. To
attract 480 new customers, how much should the owners spend on advertising during the year?
Answer:
$15,264 cost amount on new advertising.
Shown as new equation that includes (original + new customer base)
n3=15264a
Step-by-step explanation:
First we have to find original amount of customers as 3 represents a multiple of n
n3=13824a
n3 means n x 3 then customer base is one third
= 1/3 x 13,824 = 4608 original customers per year
= 4608 original customers +480 new customers
4608 + 480 = 5088 total orig+initial customers
5088 x 3 = 15264 cost
= ($)15,264 cost
new equation
n3=15264a
A wooden box is in the shape of a regular pentagonal prism. The sides, top, and bottom of the box are 1 centimeter thick. Approximate the volume of wood used to construct the box. Round your answer to the nearest tenth. brainly
Answer:
Volume of regular pentagonal prism = 1.72 cm³ (Approx.)
Step-by-step explanation:
Given:
Side of regular pentagonal prism = 1 cm
Height of regular pentagonal prism = 1 cm
Find:
Volume of regular pentagonal prism
Computtaion:
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]a²h
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)](1)²(1)
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]
Volume of regular pentagonal prism = (0.25)[√5{5+4.472}]
Volume of regular pentagonal prism = (0.25)[√5{9.472}]
Volume of regular pentagonal prism = (0.25)[√47.36]
Volume of regular pentagonal prism = (0.25)[6.8818]
Volume of regular pentagonal prism = 1.72045
Volume of regular pentagonal prism = 1.72 cm³ (Approx.)
Answer:
217.96 or 218.0 in Big Ideas Math
Thanks Harlan for helping me understand this problemStep-by-step explanation:
volume of the whole prism - smaller inner prism
Bigger Prism (apothem = 4, height = 6)
360/5 = 72 72/2 = 36
4 · tan (36) = 2.906
2.906 · 4 = 11.6247
11.6247 · 5 = 58.1234 ← The area of the Pentagon
58 · 6 = 348.740 ← The Bigger Prism Volume
Smaller Prism (apothem = 3, height = 4)
Keep in mind that the bottom, sides, and top of the box is one centemeters thick ⇒ smaller pentagon ⇒ (apothem = 4-1, height = 6 - 2)
3 · tan (36) = 2.1796
2.1796 · 3 = 6.5389
6.5389 · 5 = 32.6944 ← small Pentagon Area
32.6944 · 4 = 130.7777 ← Small Pentagon Prism Volume
Final Step
Area of big prism - small prism
348.74041 - 130.7777 = 217.9627
Round to the nearest tenth ⇒ 218.0
Answer help please!
I'm going to refer to the two separate triangles in this problem by their missing angles. So the smaller triangle is triangle 1, and the larger triangle is triangle 2.
Let's work on triangle 1 first.
We can easily find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 1.
180 - 115 = 65
Now that we know two of the angles in the triangle, and we know that the sum of the interior angles in a triangle is 180, we can find our missing angle 1.
80 + 65 + <1 = 180
145 + <1 = 180
<1 = 35 degrees
Now let's go ahead and move on to triangle 2.
We can again find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 2 also.
180 - 115 = 65
Then, we can use the same principle as we did with triangle 1 to find our missing angle 2 in triangle 2.
85 + 65 + <2 = 180
150 + <2 = 180
<2 = 30 degrees
Hope this helps!! :)
If two expressions have the same factor or base. What happens to the exponents when the expression are dividing
Answer:
whats the question tho?
Step-by-step explanation:
2) A test consists of eight true/false questions. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most six questions correctly?
Answer:
Step-by-step explanation:
Guss
PPLEASE HELP FAST
The social welfare department of town conducted a survey to know the number of illiterate males and females in the town. The results are given below.
Total number of males = 58,409
Total number of literate males = 47,354
Total number of females = 54,289
Total number of literate females = 42,876
Based on the above information answer the following questions.
a) Find the number of illiterate males and females and write their number name.
b) Find the total number of people in the town and round it to the nearest hundreds place.
Find the height of the pyramid.
Answer:
7
Step-by-step explanation:
Let the height of pyramid be h
[tex]v = \frac{1}{3} lwh[/tex]
v= 224
w= 8
l= 12
224=1/3(12)(8)(h)
224=32h
h=224/32
h=7
Whenever she visits Allenville, Maureen has to drive 48 miles due north from home. Whenever she visits Weston, she has to drive 14 miles due east from home. How far apart are Allenville and Weston, measured in a straight line?
Answer:
34 i belive not 100% sure but what grade level is this
Step-by-step explanation:
sidney writes two equations: I = 350n and E = 150n + 1000. The equations relate income I and operating expenses E to number of customers. Sidney writes the equation P = 350n − (150n + 1000) to show how tour profit P depends on the number of customers n. Use the rule to find profits P for 8, 12, 20, and 30 customers.
9514 1404 393
Answer:
600, 1400, 3000, and 5000
Step-by-step explanation:
The profit equation can be simplified.
P = 350n -(150n +1000)
P = 200n -1000 . . . . . . . . . collect terms
P = 200(n -5) . . . . . . . . . . . factor out 200
For the given numbers n, we have ...
P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}
Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.
Solve the equation 4sqrt(3m ^ 2 - 15) = 4
Answer:
See the image below:)
Step-by-step explanation:
I can only show half of the steps, but these are some of the steps. You can use the app photo math, just take a picture and it will show you the steps and answer.
Answer: c on edge ;)
Step-by-step explanation:
Find the area of the shaded region.
Answer:
60.5
Step-by-step explanation:
Each cement block weighs 1 1/4 pounds. How much do 8 cement blocks weight in total?
Answer:
10
Step-by-step explanation:
[tex]1 \frac{1}{4} \times 8 = 10[/tex]
Answer:
10 pounds.
Step-by-step explanation:
1 * 8 + 1/4 * 8
= 8 + 2
= 10 pounds.
PLEASEE HELPP ASAP!
Consider a right triangle which is
changing shape in the following
way. The horizontal leg is
increasing at the rate of 11 in/min
and the vertical leg is decreasing
at the rate of 5 in/min. At what rate <
is the hypotenuse changing in
in/min when the horizontal leg is 12
inches and the vertical leg is 9
inches?
Answer:
Step-by-step explanation:
GIVEN: dx / dt=5 in./min. and dy/ dt=−6 in./min.
FIND: dz/ dt when x=12 in. and y=9 in.
Use the Pythagorean Theorem to get the equation
x2+y2=z2
Now differentiate this equation with repect to time t getting
D{x2+y2}=D{z2} ⟶
2xdxdt+2ydydt=2zdzdt ⟶
(Multiply both sides of the equation by 1/2.)
x dx/ dt+y dy/ dt= z dz/ dt (DE)
Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.
tex2html_wrap_inline125
122+92=z2 ⟶ z2=225 ⟶ z=15
Plug in all given rates and values to the equation (DE) getting
(12)(5)+(9)(−6)=(15)dz/ dt ⟶
6=15dzdt ⟶
dz/ dt=615=25 in/min.
Hope this answer helps you :)
Have a great day
Mark brainliest
Please solve fast. I will give Brainleist or whatever it’s called
Answer:
84in
Step-by-step explanation:
84in
What is the measure, in degrees, of angle b?
The top angle is the same as the bottom angle, since they are vertically opposite angles.
b+20=40
b=40-20
b=20
It is also 20 degrees.
Answer:
Step-by-step explanation:
angle b+20 degree=40 degree(being vertically oppoite angles)
angle b=40-20
angle b=20
therefore angle b=20 degree.
please help 5 points which one
Answer:
A) 9/2x3/8
Step-by-step explanation:
Wilcox, chief executive officer and chairman of the board of directors, owned 60 percent of the shares of Sterling Corporation. When the market price of Sterling’s shares was $22 per share, Wilcox sold all of his shares in Sterling to Conrad for $29 per share. The minority shareholders of Sterling brought suit against Wilcox demanding a pro rata share of the amount Wilcox received in excess of the market price. a. What are the arguments to support the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? b. What are the arguments to reject the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? c. Which side should prevail?
Answer:
Sterling Corporation
a. Arguments to support the minority shareholders' claim include:
1. If there is a provision to this effect in the Shareholders' agreement,
2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and
3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.
b. The arguments to reject the minority shareholders' claim include:
1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.
2. Wilcox is within his rights to sell his shares to Conrad.
3. Wilcox does not oppress the minority shareholders with the sale to Conrad.
c. Wilcox should prevail. Apparently, he did not act illegally or contrary to agreement.
Step-by-step explanation:
Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.
Shareholding of Minority shareholders = 40%, which is <50%
Market price per share of Sterling Corporation = $22
Selling price of Wilcox's shares = $29
Excess of the market price = $7 ($29 - $22)
A chicken farmer can produce one crate of eggs at a cost of $9.86, and can sell that crate for $34.24. If the farmer has a starting overhead cost of $7,312, not including production costs, how many crates must be sold in order to realize a profit of $11,300, to the nearest crate?
a.
164
b.
330
c.
463
d.
763
Answer:
The answer is D 763.
Step-by-step explanation:
Don't have an explanation
A chicken farmer needs to sell 763 crates to realize a profit of $11,300.
Equation
A statement of equivalence between two expressions containing variables and/or numbers is called an equation. In essence, equations are questions, and attempts to discover systematic answers to those questions have spurred the development of mathematics.
Equation according to the given information
Based on the given information describe the problem is equation.
(34.24 × x) - (7312 + 9.86x) = 11300
34.24x - 7312 - 9.86x = 11300
34.24x - 9.86x = 11300 + 7312
24.38x = 18612
x = 18612 / 24.38
x = 763
Hence chicken farmers need to sell 763 crate
Learn more about equations here: brainly.com/question/25876690
#SPJ2
Find the sum of the first four terms of the geometric series 100 + 50 + 25 + ...
Answer:
Decimal:
100 + 50 + 25 + 12.5 + 6.25 + 3.125 + 1.5625
Fraction:
[tex]100 +50+25 + 12\frac{1}{2}+6\frac{1}{4}+3\frac{1}{8}+1\frac{9}{16}[/tex]
root beer is priced at $2.88 for 6 cans
what is the cost of one can?
Answer:
0.48
hope this helps
have a good day :)
Step-by-step explanation:
Given circle o, what is the length of arc AB if m AOB =40° ?
Radius is 9
Answer:
Arc length = 6.28 units
Step-by-step explanation:
[tex]Arc \ length = 2 \pi r \frac{ \theta}{360} = 2 \times \pi \times 9 \times \frac{40}{360} = 2\pi = 6.28[/tex]
A cook needs 42 pieces of tomato for salads The cook has 4 tomatoes He cuts each tomato into 6 pieces
sum of the two angle is equal to 90 degree the ratio of measure of these is 4:5 I what are the measures of these two angle
9x =90
x=90/9
=10
4×10= 40
5×10=50
Find the amount after the specified time. A population of 1,236 grows 1.3% per year for 10 years.
Answer:
1,406
Step-by-step explanation:
p = a(1 + r)^t
p = 1,236(1.013)^10
p = 1,406.4131692427
p = 1,406
final question of the 9 and with most of the point i can give so people dont pour in
Answer:
A=49 degree
a=13.5
b=11.7
Step-by-step explanation: