Answer:
1144cm²
Approx. 1100cm²
Step-by-step explanation:
Area of rectangle=
L×B
34×20 = 680cm²
Area of semi-circle=
πr²
3.14 × (10)² = 314cm²
Area of triangle=
½b×h
b = 49 - 34 = 15
20 × 15 = 150cm²
2
Area of shape =
680 + 314 + 150 = 1144cm²
approx. 1100cm²
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Evaluate
[tex]lim \: \frac{ \frac{1}{ \sqrt{x} } - 1}{ \sqrt{x} - 1} \: as \: x \: approaches \: 1[/tex]
Answer:
-1
Step-by-step explanation:
In many cases, the simplified expression is not undefined at the point of interest.
[tex]\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=\dfrac{\left(\dfrac{1-\sqrt{x}}{\sqrt{x}}\right)}{\sqrt{x}-1}=\dfrac{-1}{\sqrt{x}}[/tex]
This can be evaluated at x=1:
-1/√1 = -1
Then, the limit is ...
[tex]\boxed{\lim\limits_{x\to 1}\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=-1}[/tex]
__
A graph confirms this conclusion.
• A researcher claims that the average wind speed in a certain city is 8 miles per hour. A sample of 32 days has an average wind speed of 8.2 miles per hour. The standard deviation of the population is .6 miles per hour. At 5% level of significance is there enough evidence to reject the claim?
Answer:
Not reject null hypothesis since the p value is greater than 0.05
Step-by-step explanation:
We have the following:
z = (x ^ -m) / (sd / n ^ (1/2))
Let m be the mean that is 8, sd the standard deviation that is 0.6, n the sample size that is 32 and x the value to evaluate that is 8.2, replacing:
z = (8.2-8) / (0.6 / 32 ^ (1/2)) = 1.89
P (x> 8.2) = P (z> 1.89)
P (x> 8.2) = 1 - P (z <1.89)
We look for this value in the attached table of z and we have to:
P (x> 215) = 1 - 0.9713 (attached table)
P (x> 215) = 0.0287
since this is a two tailed test, the area of 0.0287 must be doubled the p value
the p value = 0.05794
Therefore, the decision is to not reject null hypothesis since the p value is greater than 0.05
what is the solution to this system of equations? I WILL GIVE 5 STARS ND BRAINLIEST
Answer:
(2, 6)
Step-by-step explanation:
The solution will be where the two lines intersect. From the graph, that point is (2, 6).
Scientists rely on which of the following to provide critical feedback when revising scientific explanation?
A) Null Hypothesis
B) Dogma
C) Opinion
D) Peer review
Answer:
D) Peer review
Step-by-step explanation:
Peer review aims at reviewing a scientific work either publication, research journal or ideas by a group of other scholar in the field. By doing so; Peer review helps to redefine the content of the research and ensures its originality before such can be published. Also; another significant purpose of Peer review as it provide critical feedback when revising scientific explanation is to help ameliorate the quality of the documents, supply suggestions, and also focuses on pointing out mistakes and errors where needed prior to the publication time.
multiply your income by 2 to get your monthly income: $900
Answer:
monthly income=$900
the monthly income was multipled by 2
so, real income was, $900/2
=$ 450
so, $450×2=$900...
The real income is $400.
MultiplicationThe term multiplication refers to the product of two or more than two numbers.
How to find real income?Let us assume that the real income is x.
We have to multiply the real income by 2 to get the monthly income of $900.
This implies that [tex]x\times 2=\$900[/tex],
Solving the above expression, we will get
[tex]x\times 2=\$900\\x=\dfrac{900}{2} \\x=400[/tex]
So, the real income is $400.
Learn more about expression here-https://brainly.com/question/14083225
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Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. Question 18 options: A) 56° B) 112° C) 180° D) 28°
Answer:
B) 112°
Step-by-step explanation:
After the double reflection the point is effectively rotated by an amount that is double the angle between the lines of reflection:
2·56° = 112°
_____
In the attached, lines l and m are separated by 56°, as required by the problem statement.
Convert.
5 days =
lao
hours
Answer:
120 Hours
Step-by-step explanation:
24 hours in a day
5 days
24 x 5 = 120
Which benefits do employers commonly offer to full-time employees? 401(k) plan free gasoline health insurance life insurance paid vacation rent
Answer:
401k, health insurance, life insurance, paid vacation
Step-by-step explanation:
The benefit do employers commonly offer to full-time employees should involved the 401k, health insurance, life insurance, paid vacation.
Benefits made to employees:When the employees are doing full time job so the company gives the following benefits:
heath insurancePaid vacation. Life insurance401 (k) PlanThese benefits motivates the employees to stay longer with the organization and be effective in the process which they deal with.
learn more about insurance here: https://brainly.com/question/24461491
Compare the function ƒ(x) = –x2 + 4x – 5 and the function g(x), whose graph is shown. Which function has a greater absolute maximum (vertex)? Question 4 options: A) g(x) B) g(x) and ƒ(x) have equal absolute maximums. C) ƒ(x) D) There isn't enough information given.
Answer:
A) g(x) has a greater absolute maximum.
Step-by-step explanation:
Given graph of g(x) which is a Parabola
1. Opens downwards
2. The absolute maximum (vertex) is at around (3.5, 6)
i.e. value of absolute maximum is 6.
Another function:
[tex]f(x) =-x^{2}+4x-5[/tex]
Let us convert it to vertex form to find its vertex.
Taking - sign common:
[tex]f(x) =-(x^{2}-4x+5)[/tex]
Now, let us try to make it a whole square,
Writing 5 as 4+1:
[tex]f(x) =-(x^{2}-4x+4+1)\\\Rightarrow f(x) =-((x^{2}-2 \times 2\times x+2^2)+1)\\\Rightarrow f(x) =-((x-2)^{2}+1)\\\Rightarrow f(x) =-(x-2)^{2}-1[/tex]
Please refer to attached graph of f(x).
We know that, vertex form of a parabola is given as:
[tex]f (x) = a(x - h)^2 + k[/tex]
Comparing the equations we get:
a = -1 (Negative value of a means the parabola opens downwards)
h = 2, k = -1
Vertex of f(x) is at (2, -1) i.e. value of absolute maximum is -1
and
Vertex of g(x) is at (3.5, 6)
i.e. value of absolute maximum is 6.
Hence, correct answer is:
A) g(x) has a greater absolute maximum.
Answer:
g(x) has a greater absolute maximum.
www.g "You roll a fair six-sided die twice. Find the probability of rolling a 4 the first time and a number greater than 3 the second time."
How can you write arithmetic and geometric sequences using recursive and explicit formulas modeled in a real world context?
Answer:
The answer is below
Step-by-step explanation:
They would be written like this:
Arithmetic Progression:
Explicit formula
Tn = a + (n-1) * d
Recursive formula
Tn = Tn-1 + d
Where a is the first term, d is the common differance and n is the number of terms.
Geometric Progression:
Explicit formula
Tn = a * r ^ (n-1)
Recursive formula
Tn = Tn-1 * r
Where r is common ratio
10x - 8y = 40
5x - 2y = 40
What is the value of y in the (x, y) solution to the
system of equations shown above?
Answer: 10
Step-by-step explanation:
Step-by-step explanation:
10x-8y = 40 (1)
5x-2y= 40 (2)
multiply (2) by -2 then add to (1) to get rid of x
-10x+4y+10x-8y = 40+ (-80)
-4y = -40
4y = 40
y= 40/4
y = 10
the answer is 10
4 − –5f = –66 f = _______
Answer:
f = -14
Step-by-step explanation:
given:
4 − (–5f) = –66
4 + 5f = -66 ( subtract 4 from both sides)
5f = -66 - 4
5f = -70 (divide both sides by 5)
f = (-70) / 5
f = -14
Help ASAP! Which of the functions listen has the same graph as x + y = 11??
Answer:
f(x)=-x+11
Step-by-step explanation:
PLZ HELP WILL GET BRAINLIEST! In the year 2005, the average cost of a car could be modeled by the equation C= -15x2 + 20x - 3 where x is the number of years since 2005. By the year 2010 the average cost had changed, and the equation could be modeled by C= -10x2 + 30x - 2. Find the difference in average cost equation for cars between 2005 and 2010.
Explanation:
Plug x = 0 into the first equation to find that C = -3. We use x = 0 since 0 years have passed by (the starting point is 2005 for this equation).
Now plug x = 0 into the second equation. The starting point is now 2010 which explains why we use the same x value, just for a different equation. You should get C = -2 here.
The difference from C = -3 to C = -2 is 1, as this is the distance between the two values.
Chances are C is measured in thousands of dollars, so C = 1 represents an average cost of 1000 dollars. Though your teacher never mentions "in thousands of dollars", so it's probably best to stick to 1 instead of 1000. I would ask your teacher to clarify.
Suppose that y is directly proportional to x and that y = 16 when x = 8. Find the constant of proportionality k.
Then, find y when x = 12.
Answer: 24
Step-by-step explanation:
Variation: y ∞ x
y = kx , where k is the constant of proportionality
now to find k, we substitute for y and x in the equation above
16 = 8k
therefore,
k = ¹⁶/₈
= 2.
Now, to find y , we move back to the equation above and substitute for x and k to get y
y = 12(2)
= 24
please ansqwer quik thanks!!!!!!
Answer:
8
Step-by-step explanation:
An apple has a mass of 150g and a volume of 100cm³ Find its density in g/cm3? pls help
Answer:
1.5 g/cm³
Step-by-step explanation:
Density is g/cm³. This means that you have divide the mass by the volume.
(150 g)/(100 cm³) = 1.5 g/cm³
The density of the apple is 1.5 g/cm³.
Answer:
[tex] \boxed{\sf Density = 1.5 g/cm^3} [/tex]
Given:
Mass (m) = 150 g
Volume (V) = 100 cm³
To Find:
Density in g/cm³
Step-by-step explanation:
[tex]\sf Density = \frac{Mass (m)}{Volume (V)} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{15 \cancel{0}}{10 \cancel{0}} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{15}{10} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1.5 \: g/cm^3 [/tex]
You are asked to lift something that is 15 kg. How many pounds is it? lbs
Answer:
33.0693394
Step-by-step explanation:
1 klio is 2.20462262,just mulipily by 15.
help a girl out pls n thx!!
Answer:
The answer is option A.
50 degreesStep-by-step explanation:
To find angle C we use the cosine rule
That's
AB² = AC ² + CB ² - 2(AC)(CB)cos C
AC = 7.5
AB = 6
CB = 6.5
6² = 7.5² + 6.5² - 2(7.5)(6.5)cosC
36 = 56.25 + 42.25 - 97.5cos C
36 - 98.5 = - 97.5 cos C
-62.5 = - 97.5 cos C
cos C = -62.5 / - 97.5
C = cos ^-1 25/39
C = 50.1
The final answer is
C = 50°Hope this helps you.
please helpppp As soon as possible
Answer: 4 pairs
Step-by-step explanation:
121-16=105. However, 121 can be made by squaring -11 or 11. 16 can be made by squaring 4 or -4. Thus, the choices are 11,4 11,-4 -11,4 -11,-4
The tree house will be 8 feet off the ground. Peter will hang a rope, with knots tied for foot holds. Each knot uses an additional 2 inches of rope. Write an expression for the length of the rope needed if Peter ties n knots and wants the rope to touch the ground. How many inches of rope are needed if there are 8 knots? Explain.
Answer:
Step-by-step explanation:
The answer is 56.
Answer:
The tree house is 8 feet off the ground, or 96 inches up because (8)(12) = 96. Each knot needs 2 extra inches, so the expression for the length of rope needed is 96 + 2n. If n = 8, then Peter will need 96 + 2(8) = 112 inches of rope.
Step-by-step explanation:
edge
A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z)
Find the work done.
Answer:
Work done = 0 J
Step-by-step explanation:
work done= ∫ F. dr
= [tex]\int\limits^2_0 {x} \, dx[/tex] + [tex]\int\limits^2_2 {x} \, dx[/tex] + [tex]\int\limits^0_2 {x} \, dx[/tex] + [tex]\int\limits^0_0 {x} \, dx[/tex] + [tex]\int\limits^0_0 {y} \, dy[/tex] + [tex]\int\limits^5_0 {y} \, dy[/tex] + [tex]\int\limits^5_5 {y} \, dy[/tex] + [tex]\int\limits^0_5 {y} \, dy[/tex] + [tex]\int\limits^0_0 {z} \, dz[/tex] + [tex]\int\limits^1_0 {z} \, dz[/tex] + [tex]\int\limits^1_1 {z} \, dz[/tex] + [tex]\int\limits^0_1 {z} \, dz[/tex]
Work done= x²/2 + y²/2 + z²/2
Applying integral limits for entire pathway
Work done= 2 + 0 -2 + 0 + 0+ 25/2 - 25/2 + 0 + 1/2 + 0 - 1/2
Work done = 0 J
Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Two circles are shown. The smaller circle has radius O A and the larger circle has radius O B. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA?
Answer:
{2 pi/3}x units
Step-by-step explanation:
i got it right on edg
Answer: Option B
{2 pi/3}x units
Step-by-step explanation:
A simple random sample of size nequals200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 106 responded that they did. Determine if more than half of all drivers drive a car made in this country at the alpha equals 0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. Upper H 0: ▼ sigma mu p ▼ not equals less than equals greater than 0.5 Upper H 1: ▼ p mu sigma ▼ less than greater than not equals equals 0.5 (b) Calculate the P-value. P-valueequals nothing (Round to three decimal places as needed.) (c) State the conclusion for the test. Choose the correct answer below. A. Do not reject Upper H 0 because the P-value is greater than the alphaequals0.05 level of significance. B. Do not reject Upper H 0 because the P-value is less than the alphaequals0.05 level of significance. C. Reject Upper H 0 because the P-value is less than the alphaequals0.05 level of significance. D. Reject Upper H 0 because the P-value is greater than the alphaequals0.05 level of significance. (d) State the conclusion in context of the problem. There ▼ is not is sufficient evidence at the alpha equals 0.05 level of significance to conclude that more than half of all drivers drive a car made in this country. Click to select your answer(s).
Answer:
Explained below.
Step-by-step explanation:
The information provided is:
n = 200
X = 106
α = 0.05
The sample proportion is:
[tex]\hat p=\frac{X}{n}=\frac{106}{200}=0.53[/tex]
(a)
A hypothesis test is to performed to determine whether more than half of all drivers drive a car made in this country.
The hypothesis is:
H₀: The proportion of drivers driving a car made in this country is less than or equal to 50%, i.e. [tex]\mu_{p}\leq 0.50[/tex]
Hₐ: The proportion of drivers driving a car made in this country is more than 50%, i.e. [tex]\mu_{p}> 0.50[/tex]
(b)
Compute the value of the test statistic:
[tex]Z=\frac{\hat p-\mu_{p}}{\sqrt{\frac{\mu_{p}(1-\mu_{p})}{n}}}[/tex]
[tex]=\frac{0.53-050}{\sqrt{\frac{0.50(1-0.50)}{200}}}\\\\=0.8485\\\\\approx 0.85[/tex]
Compute the p-value as follows:
[tex]p-value=P(Z_{0.05}>0.85)\\=1-P(Z_{0.05}<0.85)\\=1-0.80234\\=0.19766\\\approx 0.198[/tex]
*Use a z-table.
Thus, the p-value of the test is 0.198.
(c)
Decision rule:
Reject the null hypothesis if the p-value is less than the significance level.
p-value = 0.198 > α = 0.05
The null hypothesis will not be rejected.
The correct option is (A).
(d)
Conclusion:
There is not enough evidence at 0.05 level of significance to support the claim that the proportion of drivers driving a car made in this country is more than 50%.
6th grade math , help me please :)
Answer:
A= 20x
B= 15n
C= 15x+ 9
D= a + 15
E= 9x + 3y
F= 10w + 10z
Step-by-step explanation:
Cereal costs 2.79 for 16.4 ounces. At this rate how much does 25 ounces of cereal cost? Round to the Nearest Cent.
Answer:
$4.25
Step-by-step explanation:
We can create a proportion to find how much 25 oz will cost:
[tex]\frac{2.79}{16.4}[/tex] = [tex]\frac{x}{25}[/tex]
We can cross multiply to find x.
16.4x = 69.75
x = 4.25
So, this means 25 ounces of cereal will be $4.25
Three Savings accounts are advertised. - One savings account offers an APR of 2.43% compounded daily - another one offers an APR of 2.46% compounded monthly - A third offers an APR of 2.47% compounded annually Which one pays the most interest at the end of the one-year explain how you know your answers right
Answer:
2.46% monthly pays the most
Step-by-step explanation:
The formula for the effective annual rate of interest when nominal rate r is compounded n times per year is ...
r' = (1 +r/n)^n -1
For 2.43% compounded daily, the effective annual rate is ...
r' = (1 +0.0243/365)^365 -1 ≈ 2.4597%
For 2.46% compounded monthly, the effective annual rate is ...
r' = (1 +0.0246/12)^12 -1 ≈ 2.4879%
For 2.47% compounded annually, the effective annual rate is ...
r' = (1 +0.0247/1)^1 -1 = 2.47%
__
The account with an APR of 2.46% compounded monthly pays the most interest. (2.49% > 2.47% > 2.46% ⇔ monthly > annually > daily)
[tex]f(x) = {x}^{2} - 4[/tex]
for all instances of
[tex]x \leqslant 0[/tex]
a) show that f has an inverse function
[tex] {f}^{- 1} [/tex]
b) find
[tex]dom( {f}^{ - 1} ) \: and \: ran( {f}^{ - 1} )[/tex]
c) find
[tex] {f}^{ - 1} (x)[/tex]
Given function [tex]f(x)=x^2-4[/tex] find its inverse by substituting x for f(x) and then solving for f(x).
[tex]x=f(x)^2-4\implies f(x)^{-1}=\sqrt{x+4}[/tex]
Where [tex]x+4>=0[/tex] for x to be real.
So solve the inequality and you will obtain the domain:
[tex]x+4>=0\implies x>=-4\implies x\in[-4,+\infty)[/tex].
Range is equal to the range of square root function,
[tex]y\in[0, +\infty)[/tex].
Hope this helps.
Identify the function value which will be used for M,, the maximum function value on the i, j - th rectangle.
a. f (xi-1»Y;-1)
b. f (x-1,Y;)
c. f(x,y;-))
d. f(x;,y;)
e. None of these
Answer:
A.
Step-by-step explanation:
A. i just took the test