Answer:
This seems to be incomplete because we do not know where g(x) must be tangent to f(x). So i will assume that we want g(x) to be a tangent to f(x) in the point x0.
We know that for a function f(x), f'(x) is the tangent function in at the point x.
Where f'(x) = df(x)/dx
So we can find a value of k that is equal (for some value of x) to the first derivative of f(x).
g(x) = 4*x - k
f(x) = -x^2 + 8*x + 20
f'(x) = -2*x + 8
Now we want to find a value of k such that:
4*x0 - k = -2*x0 + 8
4*x0 - k = -2*x0 + 8
4*x0 + 2*x0 - 8 = k
6*x0 - 8 = k
Then if we want g(x) to be a tangent to f(x) = -x²+8x+20 in the point x0, we must have k = 6*x0 - 8
find each measure plz help
Answer:
m∠QRS = 52°
Step-by-step explanation:
From the given figure,
In right triangles ΔRQT and ΔRST,
QT = TS = 7.5 units [Given]
RT ≅ RT [Reflexive property]
ΔRQT ≅ ΔRST [By HL theorem of congruence]
Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]
m(∠QRS) = 2m(∠QRT)
= 2×(26°)
= 52°
How many 3-digit numbers are there, for witch all digits have the same parity?
Answer:
27
Step-by-step explanation:
WHAT DEFINES THE SOLUTION SET FOR THE INEQUALITY -X/2 +4<12 ? DUE BY 10:50
-x/2+4<12
-4 -4
-x/2<8
*2 *2
-x<16
/-1 /-1
x<-16
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hope it helps
Please help me I’m lost
The area of Mark's laptop computer
screen is 12x2 + 3x in?. If the length is
3x, write an expression that represents
the width?
Your answer
Answer:
4x+1
Step-by-step explanation:
The area is 12x2 + 3x in
The length is 3x
Formula is A=L*B
12x2 + 3x=3x*B
Divide both side by 3x
12x2+3x divide by 3x=B
4x+1=B
The express for the width is 4x+1
Please mark as brainliest
Chris has 7/8 yards of purple ribbon and one whole one over 6 yards of ribbon Chris has a total of three holes to over 3 yards of ribbon how many yards of Chris's ribbon are neither purple nor green
Complete question :
Chris has 7/8 yards of purple ribbon and 1 1/6 yards of green ribbon. Chris has a total of 3 2/3 yards of ribbon. How many yards of Chris's ribbon are neither purple nor green.
Answer:
1.625 yards
Step-by-step explanation:
Purple ribbon = 7/8 yards
Green ribbon = 1 1/6 yards = 7/6 yards
Total ribbon = 3 2/3 yards = 11/3 yards
Ribbon that is neither purple nor green :
Total ribbon - (green + purple ribbon)
7/8 - (7/6 + 7/8)
11/3 - (28 + 21) / 24
11/3 - 49/24
= 1.625 yards
1
Mrs. Wang has a bag that contains 15 pounds of sugar. For each cake she makes, she uses pound of sugar. How
5
many cakes can she make from the 15 pound bag of sugar?
F 20
75
H
5
15
1
20
Sharon Wells Mathematics Cumulum. Inc 2100-
Grade 5 So Wecks Week 1 Assessment
Answer: she can make 3 cakes with 15 pounds of sugar
Step-by-step explanation: 15÷5=3
Find the value of x. Round to the nearest degree.
hii! how are you? hope you're having a good day! (: i wish you the best. <3 stay strong and stay safe!
3. Alfonso surveyed several students in his school. He asked them to give the grade that they are in any the number of pets they have at home. The results are shown in the table
below.
Survey Results
Number of
Grade
5
6
2
1
4
2
4
1
4
3
5
Pets
0
4
2
3
5
1
2
2
0
5
2
I
Find the correlation coefficient for the data. Round to the nearest hundredth.
the correlation coefficient for Alfonso survey is 0.36.
What is the correlation coefficient?
The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.
For the given situation,
The table below shows the values of the data x, y and the correlation calculations.
The formula of correlation coefficient is
[tex]r=\frac{n(\Σ xy)-(\Σ x)(\Σ y)}{\sqrt{[n\Σ x^{2} -(\Σ x)^{2} }] [n\Σ y^{2}-(\Σ y)^{2} ]}[/tex]
From the table substitute all the values.
⇒ [tex]r=\frac{(11)(98-(37)(26))}{\sqrt{[11(153)-37^{2} ][(11)(92)-26^{2} ] }}[/tex]
⇒ [tex]r=\frac{1078-962}{\sqrt{(1683-1369)(1012-676)} }[/tex]
⇒ [tex]r=\frac{116}{\sqrt{(314)(336)} }[/tex]
⇒ [tex]r=\frac{116}{324.81}[/tex]
⇒ [tex]r=0.357[/tex] ≈ [tex]0.36[/tex]
Hence we can conclude that the correlation coefficient for Alfonso survey is 0.36.
Learn more about correlation coefficient here
https://brainly.com/question/19560394
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What is the length of segment TR?
Answer:
8 units
Step-by-step explanation:
please help it’s on of my last questions
Determine whether you can construct many, one, or no triangle(s) with each description.
What is 7 divided by 4/5 and 3 1/2 divided bye by 3/4
7 / 4/5 = 8.75 or 8 3/4
3 1/2 / 3/4 = 4 2/3
---
hope it helps
How much of a radioactive kind of bromine will be left after 140 hours if the half-life is 35 hours and you start with 864 grams?
Answer:
1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.
Step-by-step explanation:
Find the value of x.
Answer and Step-by-step explanation:
We see that this is a right angle, which means the entire angle is equal to 90.
We can find what x is by adding this expression and 44 and equaling it to 90.
90 = x + 9 + 44
90 = x + 53
37 = x
The value of x is 37.
I hope this helps!
#teamtrees #PAW (Plant And Water)
1-What is 30% of 45?
2-What is 5%of 55.2
Answer:
13.5 and 2.76
Step-by-step explanation:
Henry wanted to turn the following circle graph into a bar graph. the tallest bar in this bar graph will be represented by what part of the family budget?
A: insurance/pension
B: food
C: transportation
D: housing
Can someone HELPPPPPP?!??!?!?
Answer:
5/5 is 1 so D is correct.
Hope this helps!
Find AC please, help is very much appreciated.
Answer:
AC ≈ 67.9
Step-by-step explanation:
15² = 9 (3x + 1 + 9)
225 = 9 (3x + 10)
225 = 27x + 90
135 = 27x
x ≈ 19.29
AC = (3x + 1 + 9)
AC = 3 (19.2857...) + 1 + 9
AC = 57.857... + 1 + 9
AC = 57.857... + 10
AC ≈ 67.9
We are painting a rectangular wall of a large room. The dimensions of the wall are 35feet long and 21.5 feet wide. If the total cost of the paint was 421.40 what was the cost in dollars of the paint rounded to the nearest cent
Answer:
56 cent per ft²
Step-by-step explanation:
Wall dimension = 35 feets * 21.5 feets
Total cost of paint used = 421.40
Area of wall = Area of rectangle = Length * width
Area of wall = 35 feets * 21.5 feets
Area of wall = 752.5 ft²
Cost of paint per square feet:
Total coast of paint / Area of wall
$421.40 / 752.5 ft²
= $0.56 per ft²
= 0.56 * 100 = 56
A high school play is sold tickets to their performance and wanted to see how many tickets were adults (x) and how many were students (y). There were 50 more adult tickets sold compared to student tickets. Adult tickets were $5, student tickets were $2, and they collected a total of $950. Write 2 equations and solve this system.
Answer:
70
Step-by-step explanation:
The equation are x = y + 50 and 5x + 2y = 950
Firstly, let x represent the number of adult tickets sold and let y represent the number of student tickets sold.
Since there was 50 more adult tickets sold compared to student tickets, hence this statement can be represented by the equation:
x = y + 50 (1)
Also, they collected a total of $950. Each adult ticket was $5 while female ticket was $2, hence:
5x + 2y = 950 (2)
5(y + 50) + 2y = 950
y = 100
x = 100 + 50
x = 150
Solving equations 1 and 2 simultaneously gives y = 100 and x = 150
Therefore they was 150 adult tickets and 100 student tickets
Find more at: https://brainly.com/question/15165519
A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of
the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Complete
sentences
Answer:
Volume of the prop = 706.5 in³
Step-by-step explanation:
Volume of the prop given in the picture = Volume of hemisphere + Volume of the cone
Volume of the hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]
where 'r' = radius of the hemisphere
For r = 5 in,
Volume of the hemisphere = [tex]\frac{2}{3}(3.14)(5)^{3}[/tex]
= 261.67 in³
Volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r = radius of the circular base
h = height of the cone
For 'r' = 5 in and h 17 in.
Volume of the cone = [tex]\frac{1}{3}(3.14)(5)^2(17)[/tex]
= 444.83 in³
Volume of the prop = 261.67 + 444.83
= 706.5 in³
Starting at n = 1 , find the first 5 members of this sequence : 1+(n-1)2 a. 2,4,6,8,10 b. 1,3,5,7,9 c. 4, 6, 8, 10, 12 d. 3,5,7,9,11
I’LL GIVE BRAINLIEST :)
What is an equation of the line that passes through the points (5, 8) and (5, 3)?
Answer:
x = 5
Step-by-step explanation:
Use the slope formula and slope-intercept form y = m x + b to find the equation.
Hope this helps:)
Are the Rectangles Similar? Why you why not?
Answer:
The rectangles are similar.
Step-by-step explanation:
They are similar because the rectangle on the bottom is two times bigger than the rectangle on the top.
The American Quarter Horse is the most popular riding horse in the world. The average weight of an American Quarter Horse at birth is 85 pounds. They grow to a maximum weight of 1300 pounds. Write and solve an inequality to find how many pounds an American Quarter Horse may gain from birth to adulthood.
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that the average weight of an American Quarter Horse at birth is 85 pounds and that they grow to a maximum weight of 1300 pounds.
The inequality to calculate the amount of pounds that an American Quarter Horse may gain from birth to adulthood will be the difference between it's maximum weight and weight at birth. This will be:
= 1300 - 85.
= 1215 pounds
How do you find the circumference of a circle? Please include an example if you’d like.
Answer:
Step-by-step explanation:
Plug the given value of the diameter into the formula and solve.[2]
Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug π into your calculator for its numerical value, and solve for the circumference:
C = πd
C = π x 20
C = 62.8 feet
Helpppp plssss. PLSSS
Answer:
81
Step-by-step explanation:
Hope this helps you!!!
Answer: C: 81
Step-by-step explanation:
1
Over the weekend, Cedrick drove 45-miles. He used 2-gallons of gasoline. What is the unit rate for miles per gallon?
22,5
Step-by-step explanation:
45 :2 = 22,5 mark me plz thanks
how many movie tickets can you buy with $42 if one ticket costs $6 (include equation)
1=6
x=42
cross multiply
x=7
Please mark brainlist