Answer:
Thanks :)))Step-by-step explanation:
*************
For f(x)=2x + 1 and g(x)=x²-7, find (fog)(x)
Find an equation for the line that passes through the points (-5, -5) and (1, 3)
\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-5)}}} \implies \cfrac{3 +5}{1 +5} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{ 4 }{ 3 }\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{ \cfrac{ 4 }{ 3 }}(x-\stackrel{x_1}{(-5)}) \implies y +5 = \cfrac{ 4 }{ 3 } ( x +5) \\\\\\ y+5=\cfrac{ 4 }{ 3 }x+\cfrac{ 20 }{ 3 }\implies y=\cfrac{ 4 }{ 3 }x+\cfrac{ 20 }{ 3 }-5\implies {\Large \begin{array}{llll} y=\cfrac{ 4 }{ 3 }x+\cfrac{5}{3} \end{array}}\)
Find the equation of a line that passes through the point (-3,-4) and has a gradient of 5. Leave your answer in the form y = mx + c
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ 5}(x-\stackrel{x_1}{(-3)}) \implies y +4 = 5 ( x +3) \\\\\\ y+4=5x+15\implies {\Large \begin{array}{llll} y=5x+11 \end{array}}\)
Each hamburger patty is 1/8 pound. Drag the correct equation to each amount to show how many 1/8 pound hamburger patties can be made.
Answer:
For 3 pounds, 3 ÷ 1/8 = 54
For 7 pounds, 7 ÷ 1/8 = 56
Which of the following shows a 90° counterclockwise rotation of the blue figure
Find the slope of the lines graphed below (-1,-11) and (-6,-7)
Answer:
m=
\( \frac{y2 - y1}{x2 - x1} \)
where x1 is- -1
x2 is -6
y1 is -11
y2 is -7
m=
\( \frac{ - 7 - ( - 11)}{ - 6 - ( - 1)} \)
\( \frac{ - 7 + 11}{ - 6 + 1} \)
\( \frac{4}{ - 5} \)
gradient is
\( gradient = \frac{4}{ - 5} \)
in the diagram, POS,QOT and ROU are straight lines. find the value of x.
==========================================
Explanation:
Angle UOT is vertical to the angle x. This angle combines with 4x and 40 to get a straight angle of 180 degrees
(angle POU) + (angle UOT) + (angle TOS) = 180
4x + x + 40 = 180
5x + 40 = 180
5x = 180-40
5x = 140
x = 140/5
x = 28
Side note: if x = 28, then 4x = 4*28 = 112.
We see that 112+28+40 = 180, which is the sum of the three angles mentioned earlier. Since we got 180, this confirms the answer.
P R Use the sketch to determine the ratio of tan(90°-R).
The value of the ratio of tan(90°-R) using the sketch is PR/PQ
How to determine the ratio of tan(90°-R) using the sketchFrom the question, we have the following parameters that can be used in our computation:
The right triangles (see attachment)
From the right triangle, we have the following readings
Opposite of 90 - R = PR
Adjacent of 90 - R = PQ
The ratio of tan(90°-R) is then calculated as
tan(90°-R) = Opposite/Adjacent
So, we have
tan(90°-R) = PR/PQ
Hence, the ratio of tan(90°-R) using the sketch is PR/PQ
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Complete the following sentence. The gestation period of rhinos (487 days) is ______ percent longer than the gestation period of cats (62 days) . (Round the final answer to one decimal place as needed. Round all intermediate values to three decimal places as
This means the gestation period of rhinos is 685.5% longer than the gestation period of cats
Explanation:The gestation period of rhinos is 487 days
The gestation period of cats is 62 days
The difference between them is:
487 - 62 = 425
Let us find what percentage of 62 is 425
(425/62)*100
= 685.5
This means the gestation period of rhinos is 685.5% longer than the gestation period of cats
A square and a rectangle have the same perimeter. The length of the rectangle is
4 in. less than twice the side of the square, and the width of the rectangle is 6 in.
less than the side of the square.
Find the perimeter of the square.
Rectangle:
l = 4 inch
b = 6 inch
Perimeter = 2(l + b)
= 2(4 + 6)
= 2(10)
= 20 inch.
Given that,
The perimeter of the rectangle = The perimeter of the square
20 inch = The perimeter of the square
i will mark you brainless if you can solve this
Answer:
1.cube
6faces
2.i can't understand it what is it but I think rectangle
3.i think it's pyramid if it is it has
5 faces
3. cone
1 face
Write each phrase as a mathematical expression.
The quotient of 8 more than the radius, r, and 4
Answer: (r+8)/4
Step-by-step explanation:
Not much really to explain...
Tim and his family ate at their favorite restaurant,
Longhorn Steakhouse. The total bill came out $186. The
service from their server was good and they want to tip
20%. What is the total bill with tip?
Answer:
$223.20
Step-by-step explanation:
10% = $18.60
$18.60 X 2 = $37.20
$186 + $37.20 = $223.20
There are six girls and ten boys in a class. Three of the girls and four of the boys wear glasses.
a The teacher chooses one person at random. What is the probability that the teacher chooses:
The probability that the teacher chooses a girl with glasses is 3/16, and the probability that the teacher chooses a boy with glasses is 1/4.
Let's calculate the probability that the teacher chooses a student with glasses.
a) A girl with glasses: There are 6 girls in the class, and 3 of them wear glasses. There are a total of 16 students (6 girls + 10 boys).
Probability = (Number of girls with glasses) / (Total number of students)
Probability = 3 girls with glasses / 16 total students
Probability = 3/16
b) A boy with glasses: There are 10 boys in the class, and 4 of them wear glasses.
Probability = (Number of boys with glasses) / (Total number of students)
Probability = 4 boys with glasses / 16 total students
Probability = 1/4
So, the probability that the teacher chooses a girl with glasses is 3/16, and the probability that the teacher chooses a boy with glasses is 1/4.
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Need help with this answer
Answer:
B, C
Step-by-step explanation:
B is the answer, and C is equivalent.
Hope This Helped!
Jack can text 210 characters in 21 minutes. Write an expression for m minutes.
a. 10m
b. 210m
c. 21m
d. 12m
Given the figure to the right and the fact
that m ZABD = 133', find the measure-
ments of the angles below.
Answer:
∠ABC = 94°
∠BCD = 25°
∠ACB = 43°
Step-by-step explanation:
∠ABD = 133°
Since △ADC is an isosceles triangle where AD = CD, it means that ∠CBD = 133°
We know sum of angles at a point is 360°.
Thus; ∠ABC = 360 - (133 + 133)
∠ABC = 94°
Now, in △BCD, ∠B = 133° and ∠D = 22°
Sum of angles in a triangle = 180°
Thus; ∠BCD = 180 - (133 + 22)
∠BCD = 25°
Since the △ABC is also an isosceles triangle , it means that;
In △ABC, ∠A = ∠C
Thus; ∠ACB = (180 - 94)/2
∠ACB = 86/2
∠ACB = 43°
Some values of functions f, g, h, and k are provided in the table on the right.
Find a possible equation of each function Verify your results with a graphing
calculator table. (HINT Use linear or exponential equations]
The equation of function f is f(x) =?
Without any values of the functions f, g, h, and k, it is not possible to find the equation of each function. The equation of a function can be determined by analyzing the values of the function. Based on the given values, a possible equation can be found and then verified by plotting the points on a graph and seeing if they align with the equation.
It's important to note that the equation can be a linear or exponential equation but it's impossible to determine it without any values.
plz help I will mark brainlest
Answer: 340$$$
Step-by-step explanation:
Basically you divide 680 by 2 cause 2 is half which is the same as 50% so its 340
Find the first , fourth , and eighth terms of the sequence A(n) = -3 •2 ^x - 1
Answer:
A(1) = -7
A(4) = -48
A(8) = -769
Step-by-step explanation:
\(A(n) = -3.2 ^n - 1.....(1)\\\\Plug \: n= 1\: in \: (1)\\A(1) = -3.2 ^1 - 1 =-3.2-1= -6 -1 \\\huge\red{\boxed{A(1) = -7}}\\\\Plug \: n= 4\: in \: (1)\\A(4) = -3.2 ^4 - 1 =-3.16-1= -48 -1 \\\huge\purple{\boxed{A(4) = -49}}\\\\Plug \: n= 8\: in \: (1)\\A(8) = -3.2 ^8 - 1 =-3.256-1= -768 -1 \\\huge\orange{\boxed{A(8) = -769}}\)
An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?
$550 is deposited in an account with 8.5%
interest rate, compounded continuously.
What is the balance after 6 years?
F = $[?]
the balance after 6 years is approximately $926.45.
What is Continuous compounding ?
Continuous compounding is the process of calculating interest and reinvesting it into an account's balance over an infinite number of periods.
We can use the formula for continuous compounding to find the balance after 6 years:
\(F = Pe^{(rt)}\)
where F is the future value, P is the present value, e is the mathematical constant e (approximately 2.71828), r is the annual interest rate, and t is the time in years.
In this problem, P = $550, r = 8.5% = 0.085 (note that we need to use the decimal form of the interest rate), and t = 6 years.
\(F = 550e^{(0.085*6)}\)
F ≈ $926.45
Therefore, the balance after 6 years is approximately $926.45.
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You want to predict which candidate will likely be voted Seventh Grade Class President. There are 560 students in the seventh-grade class. You randomly sample 3 different groups of 50 seventh-grade students. The results are shown.
Candidate Preference
Candidate A Candidate B
Sample 1 -27 23
Sample 2 -22 28
Sample 3 -15 35
Use each sample to make an estimate for the number of students in seventh grade that vote for Candidate A. Round your answer to the nearest whole number.
Sample 1: about ____ students
Sample 2: about ___ students
Sample 3: about ___ students
b. Who do you expect to be voted Seventh Grade Class President?
A. Candidate A
B. Candidate B
Explain.
Answer:
candidate b because it's mostly likely to have more people i think
Evaluate the definite integral of sin^5(x)dx from 0 to pi/2.
Step-by-step explanation:
The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.
Let u = sin(x), then du = cos(x)dx
The integral becomes:
∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)
= (u^6)/6 evaluated at sin(π/2) and 0
= (sin^6(π/2))/6 - 0
= (1^6)/6
= 1/6
So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.
Pls tell me how to convert a fraction into a decimal! I’m having sm trouble understanding:(
Ps: NOT MY COMPUTER!
Sorry if it’s dirty.
Answer:
1. 0.875 2. 0.666… 3. 2.25 4. 0.8333…
Step-by-step explanation:
The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number. Hope you get it! :)
I’m am so lost please help thank you all
Answer:
Step-by-step explanation:
148 people
Write v as the sum of two vector components if v = -5i+6j and w = 3i+4j
Vector v can be written as the sum of two vector components, \(v_x = -5i\) and \(v_y = 6j\)
To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.
v = -5i + 6j
w = 3i + 4j
We can decompose vector v into two components, one along the x-axis and the other along the y-axis.
Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)
The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:
\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)
Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:
\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)
Now, we can write vector v as the sum of its components:
\(v = v_x + v_y = -5i + 6j\)
So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.
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What is the missing value of G if G is two and one-half times smaller than 19.02 cm? A. 7.608 cm B. 7.808 cm C. 8.608 cm D. 9.51 cm
Answer:
It’s B I believe
Step-by-step explanation:
Answer:
The correct answer is A
Step-by-step explanation:
Two sides of a triangle measure 27 inches and 32 inches.
Which could represent the length of the third side?
Answer options:
5 in
59 in
7 in
62 in
Answer:
62 in
Step-by-step explanation:
the Hypotenuse of a triangle is always longer than the two other sides, 27 + 32 is larger than all but one of the options, 62. Making 62 the answer by process of elimination.
Given f(x)=x^2+6x and g(x)=4 x^2, find fg. fg(x)=
The composite function f·g(x) is 4x⁴+24x³.
The given functions are f(x)=x²+6x and g(x)=4x².
We need to find f·g(x).
We know that, f·g(x)=f(x)×g(x)
Here, f·g(x)=(x²+6x)×4x²
= x²×4x²+6x×4x²
= 4x⁴+24x³
Therefore, the composite function f·g(x) is 4x⁴+24x³.
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