Which equation is correct regarding the measure of
<1?
O m_1 = {(a-c)
O mz1 = = {(a + c)
Om 1 =
= {(6-0)
O m_1 = {(b + )
Answer:
m<1 = ½(b - d)
Step-by-step explanation:
Recall: when two secants intersect to form an exterior angle outside a circle, the measure of the exterior angle equals half of the difference of the major and minor arcs intersected.
Thus, in the problem given,
m<1 is the exterior angle
b and d are the arcs intersected.
Therefore,
m<1 = ½(b - d)
The equation that is correct regarding the measure of <1 is; m<1 = ½(b - d)
What is the Secant theorem of a circle?
According to the secant theorem, it states that when two secants intersect to form an exterior angle outside a circle, then the measure of the exterior angle will be equal to half of the difference of the major and minor arcs intersected.
In the given question, we can see that;
The exterior angle = m<1
The arcs intersected are b and d
Thus, from applying the secant theorem, we can express that;
m<1 = ½(b - d)
Read more about the secant theorem at; https://brainly.com/question/26340897
someone please help!
what is 0.61 recurring as a fraction?
Answer:
11/18
no clue how i got it just got it
Answer:
61/99
Step-by-step explanation:
Usually, all reoccurring double digit numbers have the denominator of 99. Also, if you have a TI-30XIIS calculator, just put the repeating decimal, and press 2nd and then PRB. It will show up as a fraction!
3. What is the perimeter of the rectangle
given below?
Geometry
P=2l+2s
Plugin both numbers.
P=24+38
P=62
A liquid at temperature 7575F is placed in an oven at temperature 450450. The temperature of the liquid increases at a rate 77 times the difference between the temperature of the liquid and that of the oven. Write a differential equation for the temperature T(t) of the liquid.
Answer: [tex]\dfrac{dT(t)}{dt}=77\times (450-T)[/tex]
Step-by-step explanation:
Given
The temperature of the liquid is [tex]75^{\circ}F[/tex] placed in an oven with temperature of [tex]450^{\circ}F[/tex].
Initially difference in temperature of the two
[tex]\Delta T=450-75\\\Rightarrow \Delta T=375^{\circ}F[/tex]
According to the question
[tex]\Rightarrow \dfrac{dT(t)}{dt}=77\cdot \Delta T\\\\\Rightarrow \dfrac{dT(t)}{dt}=77\times (450-T)\quad [\text{T=75}^{\circ}F\ \text{at t=0}][/tex]
In the figure below, ZAPE and ZEPD are congruent.
What is the arc measure of major arc BAD on circle P in degrees?
Answer:
54degrees
Step-by-step explanation:
From the given diagram;
2<P + 136 + 74 + 42 = 360 (sum of angle at a point is 360degrees)
2<P +252 = 360
2<P = 360 - 252
2<P = 108
<P = 108/2
<P = 54
Hence the measure of <P is 54degrees
Which of the statement(s) about the graph shown are true? Select all that apply.
Answer: Is there a picture?
Step-by-step explanation:
long division 9÷ 999
Answer:
0.009009009
Step-by-step explanation:
I think you meant 999÷9 and in that case it is 111
Answer:
0.009009009009009
Step-by-step explanation:
The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 16 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather, the mean arrival rate is 200 flights per hour.
207 204 175 193 208 187 213 220 176 213
204 206 224 216 186 184 216 204 209 186
215 204 216 224 184 197 176 181 197 175
Required:
Set up a right-tailed decision rule at α = 0.025 to decide whether there has been a significant increase in the mean number of arrivals per hour.
Answer:
that there is no significant evidence that there is an increase in mean number of arrivals per hour
Step-by-step explanation:
The hypothesis :
H0 : μ = 195
H1 : μ > 195
We obtain the test statistic :
(xbar - μ) ÷ (σ/√(n))
xbar = 200 ; n = 30 ; σ = 16
Test statistic :
(200 - 195) ÷ (16/√(30))
5 ÷ 2.9211869
= 1.712
Using the Pvalue calculator :
Pvalue from Test statistic = 0.043
At α = 0.025
Pvalue > α ; we fail to reject the Null and conclude that there is no significant evidence that there is an increase in mean number of arrivals per hour.
hey found that 27 occurred in the Spring, 39 in the Summer, 31 in the Fall, and 53 in the Winter. Can it be concluded at the 0.05 level of significance that car accidents are not equally distributed throughout the year
This question is incomplete, the complete question is;
A Driver's Ed program is curious if the time of year has an impact on numer of car accidents in the U.S.
They assume that weather may have a significant impact on the ability of drivers to control their vehicles. They take a random sample of 150 car accidents and record the seasons each occurred in. They found that 27 occurred in the Spring, 39 in the Summer, 31 in the Fall, and 53 in the Winter. Can it be concluded at the 0.05 level of significance that car accidents are not equally distributed throughout the year
a) Yes, because the p-value = 0.0145
b) No, because the p-value = 0.0145
c) Yes, because the p-value = 0.0291
d) No, because the p-value = 0.0291
Answer:
p-value = 0.0145
Since p-value ( 0.0145 ) is less than Significance level ∝ ( 0.05 ),
We reject Null hypothesis.
Hence, There is sufficient evidence to conclude that car accidents are NOT equally distributed through out the year.
[ Option a) Yes, because the p-value = 0.0145 ] is the correct answer.
Step-by-step explanation:
Given the data in the question;
number of car accident = 150
Observed Frequencies O are;
Spring = 27
Summer = 39
Fall = 31
Winter = 53
Significance level ∝ = 0.05
Hypothesis
Null hypothesis H₀ : The car accidents are equally distributed through out the year
Alternative hypothesis H₀ : The car accidents are NOT equally distributed through out the year
Now, Expected Frequency E will be;
Spring = 150/4 = 37.5
Summer = 150/4 = 37.5
Fall = 150/4 = 37.5
Winter = 150/4 = 37.5
Test Statistics;
[tex]X^2_{stat^[/tex] = ∑[ ( O-E )² / E ]
so
[tex]X^2_{stat^[/tex] = [ ( 27-37.5 )² / 37.5 ] + [ ( 39-37.5 )² / 37.5 ] + [ ( 31-37.5 )² / 37.5 ] + [ ( 53-37.5 )² / 37.5 ]
[tex]X^2_{stat^[/tex] = 2.94 + 0.06 + 1.1267 + 6.4067
[tex]X^2_{stat^[/tex] = 2.94 + 0.06 + 1.1267 + 6.4067
[tex]X^2_{stat^[/tex] = 10.5334
Degree of Freedom DF = n-1 = 4 -1 = 3
Now,
p-value = P( [tex]X^2[/tex] - [tex]X^2_{stat^[/tex] ) = P( [tex]X^2[/tex] - 10.5334 ) = 0.0145
p-value = 0.0145
Since p-value ( 0.0145 ) is less than Significance level ∝ ( 0.05 ),
We reject Null hypothesis.
Hence, There is sufficient evidence to conclude that car accidents are NOT equally distributed through out the year.
[ Option a) Yes, because the p-value = 0.0145 ] is the correct answer.
What is the solution to the equation below? Round your answer to two
decimal places.
ex = 7.9
The value of x will be 2.067.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ eˣ = 7.9
Now,
Since, The expression is,
⇒ eˣ = 7.9
Take natural log both side, we get;
⇒ ln eˣ = ln 7.9
⇒ x = ln 79 - ln 10
⇒ x = 4.369 - 2.302
⇒ x = 2.067
Thus, The value of x = 2.067
Learn more about the mathematical expression visit:
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#SPJ1
PLS PLS PLSSSSSSSSSSS
Answer:
20%decrease? id.k if its decrease or increase but its 20%
Step-by-step explanation:
A triangle has sides with lengths of 12 yards, 16 yards, and 20 yards. Is
it a right triangle? Yes or No
Which of the following expressions is equivalent to 4.4-3 (3/4+1.126)
Answer:
-3(6/8+9/8)+4 2/5
Step-by-step explanation:
You convert decimal, you find common denominator, calculate sum of distance, rewrite, write as fraction, it is long tiresome process.
Choose ALL the right triangles.
Answer:
Bottom left corner and bottom right corner
Step-by-step explanation:
the orange one and the blue one on the bottom
Vincent and Jean are two cooks who work in a village. Each of them can either bake cakes or make pizzas. Every ingredient is readily available to them, and the only scarce resource is the cooks' time. Vincent can bake 10 cakes or make 5 pizzas in an hour. Jean can bake 12 cakes or make 8 pizzas in an hour. Please answer the four questions. 1 . Which cook has the absolute advantage in baking cakes
Answer:
Jean
Step-by-step explanation:
Vincent can bake 10 cakes or make 5 pizzas in an hour. Jean can bake 12 cakes or make 8 pizzas in an hour. Please answer the four questions. 1 . Which cook has the absolute advantage in baking cakes
Absolute advantage exists when a producer can make greater quantity of products at the same cost as its rivals or makes the same quantity of product at a lower cost than its rivals. In the scenario described above, Jean as the absolute advantage as he can make more
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
You can get a car loan with a term of three years at an APR of 5%. If you can afford a monthly payment of $450, how much can you borrow? (Round your answer to the nearest cent.)
$
Answer:
15014.57
Step-by-step explanation:
effective rate: .05/12= .004166667
[tex]450*\frac{1-(1+.004166667)^{-36}}{.004166667}=15014.5655[/tex]
Step-by-step explanation:
15014.57
Step-by-step explanation:
effective rate: .05/12= .004166667
450*\frac{1-(1+.004166667)^{-36}}{.004166667}=15014.5655450∗
.004166667
1−(1+.004166667)
−36
=15014.5655
Solve tan(x+π2)+tan(x−π2)=2 for 0≤x<2π
In the interval 0≤x <π, the solution is
Answer:
[tex]x = \pi \div 4 [/tex]
Find tan(B) in the triangle.
c. 5/12
Step-by-step explanation:
tan= opposite/adjacent
[tex]{\huge{\underline{\bf{\pink{Hello \: mate \: (◕ᴗ◕✿)}}}}} \\ \\ = > \mathcal\blue{tan \beta = perpendicular \: \div base\: } \\ \\ \mathcal\blue{=>perpendicular = 5 \: } \\ \\\blue{=>Base = 12 \: } \\ \\ \\ \huge\mathfrak\red{=>tan \beta = 5 /12\: } \\ \\ {\huge{\boxed{\sf{\green{✓✓venom✓✓}}}}}[/tex]
. An aquarium contains 50 gallons of water. When the plug is pulled, water drains from the aquarium at a rate of 2 gallons per minute. How many gallons of water still remain in the aquarium after 8 minutes?
Answer:
34 gallons
Step-by-step explanation:
Water in tank = starting amount - rate * time
water in tank = 50 - 2 * time
Let the time = 8 minutes
water in tank = 50 - 2 * 8
= 50 - 16
= 34
Answer:
34 gallons still remain after 8 minutes.
Step-by-step explanation:
Variable x = gallons of water after 8 mins
2 gallons = 1 min
x gallons = 8 mins
Set up an equation:
2/1 = x/8
Cross multiply:
2 × 8 = 1 × x
16 = x
16 gallons of water are drained after 8 minutes.
Find the difference:
50 - 16 = 34
34 gallons still remain after 8 minutes.
Surface area helpp needed
Answer:
144 un²
Step-by-step explanation:
Front Parallelogram = 5 x 11 = 55
Two triangles = 3 x 4 = 12
Back Parallelogram = 3 x 11 = 33
Bottom rectangle = 4 x 11 = 44
Total =
55 + 12 + 33 + 44 = 144
units = un²
144 un²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
\int\limits^0_∞ cos{x} \, dx
Answer:
[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty)[/tex]
General Formulas and Concepts:
Pre-Calculus
Unit CircleTrig GraphsCalculus
LimitsLimit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]IntegralsIntegration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]Trig IntegrationImproper IntegralsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx[/tex]
Step 2: Integrate
[Improper Integral] Rewrite: [tex]\displaystyle \lim_{a \to \infty} \int\limits^0_a {cos(x)} \, dx[/tex][Integral] Trig Integration: [tex]\displaystyle \lim_{a \to \infty} sin(x) \bigg| \limits^0_a[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle \lim_{a \to \infty} sin(0) - sin(a)[/tex]Evaluate trig: [tex]\displaystyle \lim_{a \to \infty} -sin(a)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle -sin(\infty)[/tex]Since we are dealing with infinity of functions, we can do a numerous amount of things:
Since -sin(x) is a shift from the parent graph sin(x), we can say that -sin(∞) = sin(∞) since sin(x) is an oscillating graph. The values of -sin(x) already have values in sin(x).Since sin(x) is an oscillating graph, we can also say that the integral actually equates to undefined, since it will never reach 1 certain value.∴ [tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty) \ or \ \text{unde}\text{fined}[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Improper Integrals
Book: College Calculus 10e
Please help! What is the area in square units?
9514 1404 393
Answer:
103 square units
Step-by-step explanation:
There is a way to find the area by counting grid points, but the fairly large number of them suggests that could be both tedious and prone to error. Instead, we'll chop up the figure into a trapezoid and two triangles.
From the top corner of the right edge draw a horizontal line across the figure. This will make the bottom portion a trapezoid and the top portion two triangles. The length of that horizontal line is 13 units, the height of the trapezoid, and the sum of the triangle bases.
The bottom trapezoid has a left-side base of 7 units and a right-side base of 6 units. Its area is ...
A = 1/2(b1 +b2)h
A = 1/2(7 +6)(13) = 1/2(13)(13) = 169/2 = 84.5 . . . square units.
The right top triangle has a base of 11 and a height of 3, so its area is ...
A = 1/2bh
A = 1/2(11)(3) = 33/2 = 16.5 . . . square units
The left top triangle has a base and height of 2 units each, so its area is ...
A = 1/2(2)(2) = 2 . . . square units
Then the total area of the figure is ...
84.5 +16.5 +2 = 103 . . . square units
_____
Check
Here is the check by counting grid points. The number of grid points on the outline of the figure is i=22. The number of grid points inside the figure appears to be b=93. Then the area by Pick's theorem is ...
b +i/2 -1 = 93 + 22/2 -1 = 103 . . . square units
ASAP what’s the answerrr step by step pleaseee
Name two numbers that are 25 units from 3 on the number line.
Answer:
-22 and 28
Step-by-step explanation:
You move 25 units down from the number and 25 units up from the number.
What is the explicit formula for this sequence?
-5, -3,-1,1, 3, ...
A. an = (-5) + (n − 1)2
B. an = (-5) + (n - 1)(-2)
C. an = 5 + (n - 1)2
D. an = 2 + (n - 1)(-5)
Answer:
Step-by-step explanation:
A.-5+(n-1)*2 and n belong to 1 to ponitive infinity
HELP PLEASE I need help please
9514 1404 393
Answer:
A) B. 18-6
B) 20÷4
C) 20
Step-by-step explanation:
Part A
The order of operations tells you that the first step is to evaluate any expressions in parentheses. Here, that means you first evaluate (18 -6).
__
Part B
After parentheses have been removed, the next step is to perform multiplication and division. Here, there is only one term involving division, so you divide 20 by 4 as your second step.
__
Part C
After you have done parts A and B, your expression is ...
3 + 12 + 5
The value of this sum is 20.
Please help me!!! I will try to give brainliest!!!
Answer:
Step-by-step explanation:
TRIANGLE_AREA
[tex]A_{\Delta}=0.5*base*heigh=0.5*8ft*6ft=24ft^2[/tex]
SEMICIRCE_AREA
[tex]A=0.5*\pi r^2=0.5*\pi*(\frac{diameter}{2})^2=0.5*3.14*(\frac{10ft}{2})^2=39.25ft^2\\\\A_{tot}=24ft^2+39.25ft^2=63.25ft^2[/tex]
what's the meaning of bobo?
Find the measure of the missing angle
Answer: a=
Answer:
Hello! answer: a = 68
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees so...
90 - 22 = 68 therefore a = 68 hope that helps!
Answer:
68°
Step-by-step explanation:
That's an right angle so it's equal to 90°
To find a
90-22=68°