Answers
Answer:
7
Step-by-step explanation
Have a nice day :)
Related Questions
What is the value of -42+(5-2)(-6)?
0-34
-2
0 10
34
Answers
Answer:
-60
Step-by-step explanation:
-42+3*-6
-42-18
-60
3. What is the perimeter of the rectangle
given below?
Answers
Geometry
P=2l+2s
Plugin both numbers.
P=24+38
P=62
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is
Answers
Answer:
b=-18
Step-by-step explanation:
If a line that passes through the point [tex]P(x_o,y_o)[/tex]and it has slope [tex]m[/tex], the equation of the line is:
[tex]y-y_o=m(x-x_o)~=>y=mx+y_o-mx_o~=>b=y_o-mx_o\\\\b=-6-4(3)=-18[/tex]
Answer:
-18
Step-by-step explanation:
The line represented by y = 3x − 2 and a line perpendicular to it intersect at R(3, 7). What is the equation of the perpendicular line? y = − negative start fraction one over three end fractionx + 4 y = − negative start fraction one over three end fractionx + 8 y = start fraction one over three end fractionx + 6 y = −3x + 7
Answers
Answer:
y= -1/3(x) + 8
Step-by-step explanation:
slope of the 1st line = 3
slope of the line perpendicular to the first is its opposite reciprocal, so
slope of the 2nd line = -1/3
now we have a point and the slope of the perpendicular line, so we use the point slope formula to get:
y-7=-1/3(x-3)
y= -1/3(x) + 1 + 7
y= -1/3(x) + 8
PLS HELP!! need the answer asap
Answers
Answer:
1.) 113 degrees and 2.) 67 degrees
Step-by-step explanation:
(x + 33) + (x - 13) = 180
Add like terms:
2x + 20 = 180
2x = 160
x = 80
x + 33 =
80 + 33 =
113 =
x - 13 =
80 - 13 =
67 =
. 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?
Answers
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.
\int\limits^0_∞ cos{x} \, dx
Answers
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
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 + )
Answers
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)
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besties can any of you help me on this because i do not know how to solve this
90 points for correct answers only
Answers
Answer:
[tex] D)\displaystyle \rm \frac{ \sqrt{3} }{12} cis \left( \frac{19\pi}{15} \right)[/tex]
Step-by-step explanation:
remember that
[tex] \displaystyle a \rm cis( \theta) \times b cis( \theta _{2}) = ab \cdot cis( \theta + \theta _{2})[/tex]
so we acquire:
[tex] \displaystyle \frac{ \sqrt{2} }{6} \rm cis \left( \frac{3\pi}{5} \right) \times \frac{ \sqrt{6} }{4} cis \left( \frac{2\pi}{3} \right) = \frac{ \sqrt{2} }{6} \times \frac{ \sqrt{6} }{4} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]
simplify the left hand side
[tex] \displaystyle \rm \frac{ \sqrt{12} }{24} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]
[tex] \displaystyle \rm \frac{2 \sqrt{3} }{24} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]
reduce fraction:
[tex] \displaystyle \rm \frac{ \sqrt{3} }{12} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]
simplify addition:
[tex] \displaystyle \rm \frac{ \sqrt{3} }{12} cis \left( \frac{19\pi}{15} \right)[/tex]
hence our answer is D
Choose ALL the right triangles.
Answers
Answer:
Bottom left corner and bottom right corner
Step-by-step explanation:
the orange one and the blue one on the bottom
which is the mode of the data given below 24686424664
Answers
Dena borrowed $75,000 to buy a used car. The credit union charged 9% simple interest per year. She paid $2,025 in interest. For what period of time did she borrow the money?
Whats the...
Principal_____
Rate____
Intrest_____
PLSSSS ITS DUE IN 10 MINS
Answers
Rate- 9%
Interest- $2025
Hope this helps ;)
If so mark as brainliest
Find the GCF of 21m^5n^2 and 28m^4n2
Answers
Answer: 7m⁴n²
Step-by-step explanation:
Find the GCF of 21m⁵n² and 28m⁴n².
Find the prime factors of each term in order to find the greatest common factor (GCF).
21m⁵n² = 7 · 3 · m · m · m · m · m · n · n
28m⁴n² = 7 · 2 · 2 · m · m · m · m · n · n
The product of these common prime factors will be the Greatest Common Factor: 7 · m · m · m · m · n · n = 7m⁴n²
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)
Answers
Answer:
Step-by-step explanation:
A.-5+(n-1)*2 and n belong to 1 to ponitive infinity
What is the radius of a sphere with a volume of 384\text{ ft}^3,384 ft
3
, to the nearest tenth of a foot?
Answers
Answer:
r≈4.5 ft
Step-by-step explanation:
r≈4.5 ft
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
384=
384=
\,\,\left(\frac{4}{3}\pi\right) r^3
(
3
4
π)r
3
384=
384=
\,\,(4.1887902)r^3
(4.1887902)r
3
Evaluate 4/3pi in calc
\frac{384}{4.1887902}=
4.1887902
384
=
\,\,\frac{(4.1887902)r^3}{4.1887902}
4.1887902
(4.1887902)r
3
Evaluate \frac{4}{3}\pi
3
4
π in calc
91.6732472=
91.6732472=
\,\,r^3
r
3
\sqrt[3]{91.6732472}=
3
91.6732472
=
\,\,\sqrt[3]{r^3}
3
r
3
Cube root both sides
4.5090066=
4.5090066=
\,\,r
r
\text{Final Answer:}
Final Answer:
r\approx 4.5\text{ ft}
r≈4.5 ft
Round to nearest tenth
The radius of the sphere is approximately 4.2 feet.
What is the volume of the sphere?To find the volume of a specific sphere, we need to know its radius. Once we have the radius, we can plug it into the formula and calculate the volume.
The formula for the volume of a sphere is:
V = (4/3) x π x r^3
where V is the volume of the sphere, r is its radius, and π is a mathematical constant approximately equal to 3.14.
We are given the volume of the sphere, so we can plug it into the formula and solve for the radius:
384 = (4/3) x π x r^3
Dividing both sides by (4/3) x π, we get:
r³ = 384 / ((4/3) x π)
r³ = 72.825
Taking the cube root of both sides, we get:
r ≈ 4.243
The radius of the sphere is approximately 4.2 feet.
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Find three consecutive odd integers such that the sum of the first, two times the second and three times the third is 82.
A) 6x + 8 = 82
B) 6x + 16 = 82
C) 3x + 3 = 82
D) 3x + 6 = 82
Answers
Answer:
[tex]11, 13, 15[/tex]
B) 6x + 16 = 82
Note: I just kept my wrong approach.
Step-by-step explanation:
Let first define an odd integer.
Considering [tex]x\in\mathbb{Z}: 2k+1[/tex], [tex]x[/tex] is an odd integer.
Now, three consecutive odd integers are [tex]a_1 = 2k+1[/tex] , [tex]a_2 = 2k+3[/tex] and [tex]a_3 = 2k+5[/tex]
The sum of the first, two times the second and three times the third can be written as
[tex]a_1 + 2a_2 + 3a_3 = 2k+1 + 2(2k+3)+3(2k+5)[/tex]
Expanding and simplifying
[tex]2k+1 + 2(2k+3)+3(2k+5) = 2k+1 +4k+6+6k+15 = 12k+22[/tex]
This is what I have done initially, but considering [tex]x[/tex] to be an odd integer, three consecutive integers can be written as
[tex]x, x+2, x+4[/tex] such that [tex]x\in\mathbb{Z}: 2k+1[/tex]
Therefore,
[tex]x+2(x+2)+3(x+4)=82 \implies x+2x+4+3x+12 = 82 \implies 6x+16 = 82[/tex]
and [tex]6x+16 = 82 \implies 6x = 66 \implies x = 11[/tex]
The three consecutive odd integers such that the sum of the first, two times the second and three times the third is 82 are [tex]11, 13, 15[/tex]
Challenge: Solve x+3y=-6 for x. Then use your value for x to solve for y.
X=
Y=
Answers
Answer:
X = -6 - 3y
Y = -1
Step-by-step explanation: Solve for X first using basic algebra. Plug in X vaalue to original equation and solve. -6 - 3y + 3y = -6. Solve by adding 6 to both sides of the equation and dividing -3y by 3y.
find the area of the shape below 22226
Answers
Answer:
12 units²
Step-by-step explanation:
A(triangle) = 1/2(2)(2) = 2 units²
A(triangle) = 1/2(2)(6) = 6 units²
A(Square) = 2(2) = 4 units²
A(Shape) = 2 + 6 + 4 = 12 units²
Please help! What is the area in square units?
Answers
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
Answers
Step one write out the problem (1 + 1/2 +2 )
Step two add them
Someone please help me I’m stuck on this question
Answers
9514 1404 393
Answer:
-9
Step-by-step explanation:
You are given a point and a slope, so you can write the equation of the line in point-slope form:
y -k = m(x -h) . . . . . line of slope m through point (h, k)
y -7 = 4(x +5) . . . . using the given point
Putting in the x- and y-values of the other point, we have ...
-9 -7 = 4(w +5)
-4 = w +5 . . . . . . . . . divide by 4
-9 = w . . . . . . . . . . subtract 5
The value of w is -9.
Jiao works as an usher at a theater. The theater has 1000 seats that are accessed through five entrances. Each guest should use the entrance that's marked on their ticket. Jiao wants to test if the distribution of guests according to entrances matches the official distribution. He collects information about the number of guests that went through each entrance at a certain night. Here are the results: Entrance Expected # of people A 30% 398 B 30% 202 C 20% 205 D 10% 87 E 10% 108 Total 100% 1000 Jiao wants to perform a x' goodness-of-fit test to determine if these results suggest that the actual distribution of people doesn't match the expected distribution. # of people 398 202 205 87 108 1000 Jiao wants to perform a xa goodness-of-fit test to determine if these results suggest that the actua distribution of people doesn't match the expected distribution. What is the expected count of guests in entrance A in Jiao's sample? You may round your answer to the nearest hundredth.
Expected:______.
Show Calculator
Answers
Answer:
The answer is "300".
Step-by-step explanation:
Please find the complete solution in the attached file.
Answer:300
Step-by-step explanation:
A ladder leans against the side of a house. The angle of elevation of the ladder is 65° when the bottom of the ladder is 14 ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth. (PLZ HELP I LIST BRAINLIST AND LIKE COMMENTS)
Answers
Answer:
33.1
Step-by-step explanation:
cos(65)=14/x
x=33.1
In a family with 6 children, excluding multiple births, what is the probability of having 6 girls? Assume that a girl is as likely as a boy at each birth
Answers
Answer:
There's is a 25% chance on having all 6 births be girls. There is a 50-50 chance of a boy nor a girl. However, it is possible.
The probability of having 6 girls will be 1/64.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
In a family with 6 children, excluding multiple births.
Then the probability of having 6 girls will be
Leaving out the third gender, let's suppose that there is an equal chance of having a girl or a boy.
Any child can be either a boy or a girl, with each having equal probability of = 1/2
Each of these blank spaces can be filled in 2 ways : B and G (denoting 'B' and 'G' respectively)
Probability of first blank being a ''G' is = 1/2
and second blanks too being a “G” is = 1/2
Thus, probability of each blank individually being a “G” = 1/2
Thus, probability of all being a “G” = (1/2) (1/2) (1/2) (1/2) (1/2)* (1/2) = (1/2)6 = 1/64
Thus, probability of 6 children being all 6 girls = 1/64
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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.
Answers
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.
Which of the following expressions is equivalent to 4.4-3 (3/4+1.126)
Answers
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.
someone please help!
Answers
What is the solution to the equation below? Round your answer to two
decimal places.
ex = 7.9
Answers
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
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HELP PLEASE I need help please
Answers
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.
anyone know the missing angle ?
Answers
Answer:48.013
Step-by-step explanation: just found it