Answer:
19
Step-by-step explanation:
11 x 2 = 22
60 - 22 = 38
38/2 = 19
Find an equation of the tangent line to the curve at the given point. y=√x, (49,7) To find the equation of a line, we need the slope of the line and a
Answer:
The equation of the tangent line to the curve at the given point is [tex]y = \frac{1}{14}(x - 49) + 7[/tex]
Step-by-step explanation:
Equation of the tangent line:
The equation of the tangent line to a function f(x) at a point [tex](x_0,y_0)[/tex] is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which m is the slope, which is given by the derivative of f(x) at [tex]x_{0}[/tex]
y=√x, (49,7)
This means that [tex]x_0 = 49, y_0 = 7[/tex]
The derivative is:
[tex]y^{\prime} = \frac{1}{2\sqrt{x}}[/tex]
At [tex]x = 49[/tex]
[tex]m = y^{\prime} = \frac{1}{2\sqrt{49}} = \frac{1}{14}[/tex]
So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 7 = \frac{1}{14}(x - 49)[/tex]
[tex]y = \frac{1}{14}(x - 49) + 7[/tex]
The equation of the tangent line to the curve at the given point is [tex]y = \frac{1}{14}(x - 49) + 7[/tex]
The rectangle below has an area of x2 – 6x – 7 square meters and a width of x– 7 meters.
What expression representsthe length of the rectangle?
Answer:
The length is (x+1)
Step-by-step explanation:
We know the area equals length times width. LxW=Area
We know the width equals (x-7). We also know the area equals x² - 6x - 7.
We need to expand the area. When we do, we get (x+1)(x-7).
The width is (x-7), so the length must be (x+1)
ags of sugar come in 3 sizes.
Small bag: A 250 g bag costs 64p.
Medium bag: A 575 g bag costs £1.25.
Large bag: A 1.25 kg bag costs £2.54.
Find the cost per gram for each bag of sugar.
Round your answers to 3dp.
Write which size of bag is best value for money in the comment box.
Answer:1 gram of the small bag costs 0.256p ,1 gram of the medium bag costs 0.217p and 1 gram of the big bag costs 2. 032p
Step-by-step explanation:
Answer choices please help
240
200
240
280
A sample of 64 account balances from a credit company showed an average daily balance of $1,040. The standard deviation of the population is known to be $200. We are interested in determining if the mean of all account balances (i.e., population mean) is significantly different from $1,000. 1. State the null and alternative hypothesis. 2. Compute the test statistic. 3. Compute the p-value. 4. Based on the p-value and the significance level of 0.05% make a decision regarding the hypotheses. 5. Interpret your results in the context of the problem.
Answer:
See step by step exlanation
Step-by-step explanation:
Assuming normal distribution
N( μ₀ , σ )
In this case N ( 1000, 200)
From a random sample of 64 accounts we get:
n = 64
x = sample mean x = 1040
σ = standard deviation of the population σ = 200
1.-Test Hypothesis
Null Hypothesis H₀ x = μ₀ = 1000
Alternative Hypothesis Hₐ x ≠ μ₀
The alternative hypothesis implies a two tail-test. Given that n > 30 and σ is known we will use z-table
2.- z(s) = ( x - μ₀ ) / σ/√n
z(s) = ( 1040 - 1000 ) / 200/ √64
z(s) = 40*8/200
z(s) = 1,6
3.-P-val for z (score 1,6) p-value = 0,0548
4.- If significance level is 0,05 then α = 0,05 and α/2 = 0,025
p-value > α/2
Then the z(s) < z(c) 1,6 < 1,96 where z(c) is z score for α/2
We should accept H₀
5.-We can claim that at 95 % (of Confidence Interval) the population mean is not significantly different from 1000 $
Name the two congruent triangles
Answer:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Step-by-step explanation:
The diagram given indicates the following:
<E ≅ <E (vertical angles)
AE ≅ DE
BE ≅ CE
Thus, an included angle, <E, and two side lengths, AE and BE, in ∆ABE are congruent to an included angle, <E, and two corresponding side lengths, DE and CE, in ∆DCE. By the SAS Congruence Theorem, both angles are congruent to each other.
Therefore:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Ava bought 2 sandwiches for a total of $5.25, a bowl of soup for $3.00, and a bag of chips for $1.25. How much change did she get back if she paid with a $20.00 bill?
Answer:
Step-by-step explanation:
5.25
3.00
1.25
_____
$ 9.50
- 20.00
_______
$10.5
please help thank you
Answer:
a is the answer hope this help:D
Step-by-step explanation:
Consider this function and its graph. f(x) = tan(3x + pi/4) - 1 Which statement best describes function f?
A. The function is odd.
B. The function is even.
C. There is not enough information to determine whether the function is even or odd.
D. The function is neither even nor odd.
Answer: D. The function is neither even nor odd.
Step-by-step explanation:
A function f(x) is even if:
f(x) = f(-x) for all x-valies
A function f(x) is odd if:
f(x) = -f(-x) for all x-values.
If there is only one value of x such that the above conditions are false, then the function is neither odd nor even.
In the graph, we can see that:
f( -π/3) = f(π/3)
This would imply that the function is even (at least in that point)
And can also see that as x increases from zero, the value of f(x) increases.
And as x decreases from zero, the graph of f(x) decreases.
So for a point 1 > a > 0, we have that:
f(a) ≠ f(-a)
Then we can conclude that the function is neither even nor odd, the correct option is D.
Answer:
D. The function is neither even nor odd
Step-by-step explanation:
edmentum
you asked 200 randomly chosen students to name their favorite ice cream flavor there are 1800 students in the school estimate the number of students in the school whose favorite ice cream flavor is chocolate chip vanilla 50 chocolate 49 strawberry 48 chocolate chip 53
Answer:
I think it is 351
Answer: 36 is the answer
Enter the value of f(4) for the following function:
Answer:
648
Step-by-step explanation:
8x3x3x3x3=8x81=648
Kate’s father is a baker at the Morning Muffin Bakery. This morning the oven wasn’t working correctly and 2 dozen muffins burned. Kate’s father gave ¼ of what was left to Kate to take to school. He wrapped up ½ of the remaining muffins and sold them to the grocery store down the street. He then wrapped ⅓ of what was remaining and gave them to the coffee shop to sell. That left Kate’s father with a dozen muffins to sell at the bakery. How many muffins did Kate’s dad bake?
Answer:
64
Step-by-step explanation:
Step 1: 12 divided by 3 = 4. 12+4 = 16.
I need to know what ⅓ of 12 is so I can continue the problem without messing up.
Step 2: 16*2 = 32.
Half of however many are left is 16.
Step 3: 32 divided by 4 is 8. 32+8 is 40. Two dozen is 24. 40 + 24 = 64.
Now we know the answer.
Boom.
Discuss the TWO principles that define the Rule of Law.
Answer:
1. The government as well as private actors are accountable under the law. 2. The laws are clear, publicized, stable, and just; are applied evenly; and protect fundamental rights, including the security of persons, contract and property rights, and certain core human rights.
Step-by-step explanation:
Your welcome<3
Answer:
Step-by-step explanation:
It requires measures to ensure adherence to the principles of supremacy of the law, equality before the law, accountability to the law, fairness in the application of the law, separation of powers, participation in decision-making, legal certainty, avoidance of arbitrariness, and procedural and legal transparency.
What is the answer to this please????
Answer:
your answer will be
y=40 x +20
Step-by-step explanation:
have a nice day/night ^_^
Determine the area of the shape below. The area is
square centimeters.
6 cm
4 cm
2 cm
3 cm
Answer:
144
Step-by-step explanation:
6 times 4 = 24
24 times 2 = 48
48 times 3 = 144
-(1/2)³ is equivalent to?
Answer:
-0.125
Step-by-step explanation:
- Im learning about this , so im not really sure
Help fast pleaseeeee
we will find the area of triangle with sides 5y,6y and 9y using herons formula
Please solve quickly, will give brainliest
Answer:
Step-by-step explanation:
for 1 cube of 6 sides, it takes 5 grams
so 1 side is 5/6th grams
now how many sides of small cubes are shown is 42
42*5/6=35 grams
Answer:
180 grams
Step-by-step explanation:
5gramsx number of squares
5gramsx 36=180grams
A measurement of 4.5 yards is how many feet longer than a measurement of 132 inches?
Answer:
4.5X3=13.5, 132/12=11, 13.5-11=2.5
Step-by-step explanation:
A measurement of 4.5 yards is 2.5 feet longer than a measurement of 132 inches.
As we know that,
[tex]1 yard = 3 feet[/tex]
So, 4.5 yards = [tex]3*4.5=13.5feet[/tex]
[tex]12 inch = 1 feet\\\\132inch = \frac{`132}{12}=11feet[/tex]
Difference between 4.5 yards and 132 inches = [tex]13.5-11=2.5feet[/tex]
Thus, the measurement of 4.5 yards is 2.5 feet longer than a measurement of 132 inches.
Learn more about yards and feet here :
https://brainly.com/question/16101450
The height of a rocket, in feet, t seconds after it is launched is modeled by the function h(t) = -16t2 + 125t + 24. Which interval has the largest change in height?
A. 0-1 second
B. 3-4 seconds
C. 5-6 seconds
D. 7-8 seconds
Answer:
a
Step-by-step explanation:
trust
Pleasee helppp it’s due todayyy
Answer:
88 is a solution to 1/8 x =11, since a solution means that x is equal to that number, so in this scenario, x=88. When substituted(88*0.125), the same answer, 11, is obtained.
Step-by-step explanation:
the area of a trapezium is 400 cm square
Complete Question:
The area of a trapezium is 400 cm2, the distance between the parallel sides is 16 cm. If one of the parallel sides is 20 cm, then the length of the other side is ______
Answer:
[tex]Side\ 2 = 30cm[/tex]
Step-by-step explanation:
Given
[tex]A= 400cm^2[/tex] --- Area
[tex]h = 16cm[/tex] --- Height
[tex]Side\ 1=20cm[/tex]
Required
The length of the other side (Side 2)
The area of a trapezium is:
[tex]A = \frac{1}{2}(Side\ 1 + Side\ 2) * h[/tex]
[tex]400 = \frac{1}{2}(20 + Side\ 2) * 16[/tex]
[tex]400 = (20 + Side\ 2) * 8[/tex]
Divide both sides by 8
[tex]50 = 20 + Side\ 2[/tex]
Collect Like Terms
[tex]Side\ 2 = 50 - 20[/tex]
[tex]Side\ 2 = 30cm[/tex]
Which equation can be used to describe the pattern in the table
Answer:
I feel like its C.
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
because all the a values are 5 more than b
The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day. When the length is 10 meters and the width is 23 meters, then how fast is the AREA changing
Answer:
[tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Rectangle: A = lw
l is lengthw is widthCalculus
Derivatives
Derivative Notation
Implicit Differentiation
Differentiation with respect to time
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle l = 10 \ meters[/tex]
[tex]\displaystyle \frac{dl}{dt} = 4 \ m/day[/tex]
[tex]\displaystyle w = 23 \ meters[/tex]
[tex]\displaystyle \frac{dw}{dt} = 1 \ m/day[/tex]
Step 2: Differentiate
[Area of Rectangle] Product Rule: [tex]\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}[/tex]Step 3: Solve
[Rate] Substitute in variables [Derivative]: [tex]\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)[/tex][Rate] Multiply: [tex]\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day[/tex][Rate] Add: [tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
The graph of triangle ABC is shown below:
What is the area, in square units, of triangle ABC?
Answer:
36 square units
Step-by-step explanation:
Height = 9
Base = 8
Area of a triangle = A = 1/2bh
Plug in
1/2 (8) (9) = 4 x 9 = 36
What fraction is equivalent to 8%
2/25
4/50
8/100
this are the smallest fractions equivalent to 8%
Answer:
8/100
Step-by-step explanation:
8% = 0.08 = 8/100
let me know if you need more of an explaination <33
PLEASE HELP: Find the value of S20 for the series of 5+8+11+14+....
Answer:
17 alyezhh
Step-by-step explanation:
its adding by 3's loljjjjhggg
Ms. Smith mixes orange juice with seltzer in a ratio of 3:1. If she uses 48 ounces of orange juice, how many ounces of seltzer does she need?
Answer:
16 oz
Step-by-step explanation:
the ratio is 3 oz of oj to 1 oz of seltzer.
I pretty much just divided 48 by 3.
I hope this is correct and I hope it helps you!
plss help mehhhhhhhhhh
Answer:
12=12 infinitely many solutions
x=8 one solution
4[tex]\neq \\[/tex]6 no solution
Step-by-step explanation:
ʕ•ᴥ•ʔ
This problem involves the career plans of students in a biology class. Assume that the class consists of 40 percent freshmen, 10 percent sophomores, 30 percent juniors, and 20 percent seniors. Assume further that 40 percent of the freshmen, 30 percent of the sophomores, 35 percent of the juniors, and 20 percent of the seniors plan to go to medical school. One student is selected at random from the class. (1) What is the probability that the student plans to go to medical school
Answer:
0.335 = 33.5% probability that the student plans to go to medical school
Step-by-step explanation:
What is the probability that the student plans to go to medical school?
Sum of:
40% of 40%(freshmen)
30% of 10%(sophomores)
35% of 30%(juniors)
20% of 20%(seniors)
So
[tex]p = 0.4*0.4 + 0.3*0.1 + 0.35*0.3 + 0.2*0.2 = 0.335[/tex]
0.335 = 33.5% probability that the student plans to go to medical school