Answer: 16
Step-by-step explanation:
I need one more brainliest for next rank I’d appreciate it
Answer:
16 cups milk is the answer
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
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:
Someone please help me I’m stuck on this question
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.
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
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]
someone please help!
\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
anyone know the missing angle ?
Answer:48.013
Step-by-step explanation: just found it
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
ASAP what’s the answerrr step by step pleaseee
besties can any of you help me on this because i do not know how to solve this
90 points for correct answers only
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
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
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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3. What is the perimeter of the rectangle
given below?
Geometry
P=2l+2s
Plugin both numbers.
P=24+38
P=62
PLS PLS PLSSSSSSSSSSS
Answer:
20%decrease? id.k if its decrease or increase but its 20%
Step-by-step explanation:
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
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]
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
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
Find the GCF of 21m^5n^2 and 28m^4n2
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
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
which is the mode of the data given below 24686424664
find the area of the shape below 22226
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
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
Answer:
The answer is "300".
Step-by-step explanation:
Please find the complete solution in the attached file.
Answer:300
Step-by-step explanation:
Challenge: Solve x+3y=-6 for x. Then use your value for x to solve for y.
X=
Y=
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.
PLS HELP!! need the answer asap
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 =
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
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. 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.
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]
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.
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
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.
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)
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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?
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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