Answer:f=103.444
Step-by-step explanation:
took this test and got an A++
The value of the function [tex]f(x)=7+2x[/tex] for [tex]f(7)[/tex] is 21.
The given functions are [tex]f(x)=7+2x[/tex] and [tex]g(x)=5x-2[/tex].
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
To find [tex]f(7)[/tex], substitute [tex]x=7[/tex] in [tex]f(x)=7+2x[/tex], we get
[tex]f(7)=7+2(7)[/tex]
[tex]f(7)=21[/tex]
Therefore, the value of the function [tex]f(x)=7+2x[/tex] for [tex]f(7)[/tex] is 21.
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Which of the following best explains why tangent StartFraction 5 pi Over 6 EndFraction not-equals tangent StartFraction 5 pi Over 3 EndFraction? The angles do not have the same reference angle. Tangent is positive in the second quadrant and negative in the fourth quadrant. Tangent is negative in the second quadrant and positive in the fourth quadrant. The angles do not have the same reference angle or the same sign.
Using reference angles, it is found that the correct option is:
The angles do not have the same reference angle.Angle [tex]\frac{5\pi}{6}[/tex] is on the second quadrant, [tex]\frac{\pi}{2} < \frac{5\pi}{6} < \pi[/tex].
On the second quadrant, the tangent is negative, as the sine is positive and the cosine is negative.The reference angle is found subtracting [tex]\pi[/tex] from the angle, hence:[tex]\pi - \frac{5\pi}{6} = \frac{6\pi}{6} - \frac{5\pi}{6} = \frac{\pi}{6}[/tex]
Angle [tex]\frac{5\pi}{3}[/tex] is on the fourth quadrant, [tex]\frac{3\pi}{2} < \frac{5\pi}{3} < 2\pi[/tex].
On the second quadrant, the tangent is negative, as the sine is negative and the cosine is positive.The reference angle is found subtracting [tex]2\pi[/tex] from the angle, hence:[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]
They have different reference angles, hence:
The angles do not have the same reference angle.For more on angles, you can check https://brainly.com/question/24787111
Answer:
A
Step-by-step explanation:
A
Plz help me do this
Answer:
the rise is 6 and the run is 4
Answer:
The rise is 6 and the run is 4
can anyone answer this?
Answer: Would you like all of them?
Step-by-step explanation:
Angle 2 is 2x+10 angle 4 is 4x+80 solve for x
Answer:
15
Step-by-step explanation:
Angle 2 is 2x+10
angle 4 is 4x+80
and from the figure we can understand that when we add these 2 equations
We get
6x+ 90= 180
6x = 180 - 90= 90
6x= 90
x = 90 ÷ 6 = 15
answer = 15
May I please receive help?
Answer:
6.6 ft.
Step-by-step explanation:
Right triangle: Use this formula a² + b² = c² . Given c = 12, a = 10 find b
(10)² + b² = (12)²
100 + b² = 144
b² = 144 - 100
b² = 44
[tex]b = \sqrt{44}[/tex]
b = 6.6
Is
13
6
A rational number?
Answer:
13/6 or 2 1/6 is a fraction and is rational number, so yes it is rational
What is the perimeter?
8 m
4 m
4 m
12 m
meters
Submit
How do you solve : 3x^4 - 11x^3 -x^2 + 19x + 6
You can't use long division in this equation.
Step-by-step explanation:
This is a polynomial so we can use rational roots Theorem to solve the equation.
The rational roots simply states that the roots of a polynomial, in the form of
[tex]p{x}^{n} + ax {}^{n - 1} + bx {}^{n - 2} .....r {}^{0} [/tex]
The possible roots of the polynomial are the factors of
p/r.
We say r^0 to represent the constant and p to represent the leading coeffceint.
So the rational roots states the possible roots of a polynomial is
the factors of leading coeffceint/ the factors of the constant.
In this case, the polynomial leading coeffecient is 3 and its constant is 6 so we do the factors of 3 divided by the factors of 6.
The factors of 3, are plus or minus 1 and 3. divided by factors of 6 which are plus or minus 1,2,3,6. So our possible roots are
positive or negative (1,1/2, 1/3,1/6, 3, 3/2).
Now, we see which of the following roots will that the polynomial, P will equal zero.
It seems that -1 can work so by definition, (x+1) is the a factor of the polynomial. So now we use synetheic or long division to cancel out that factor.
So our factored version of the polynomial is
[tex](x + 1)(3x {}^{3} - 14 {x}^{2} + 13x + 6)[/tex]
Now can we continue and factor the right side of the factors.
3 also works so x-3 is a factor as well so
[tex](3 {x}^{2} - 5x - 2)(x + 1)(x - 3)[/tex]
Now factor the quadratic using factoring by grouping
[tex]3 {x}^{2} - 5x - 2 = 3 {x}^{2} - 6x + x - 2 = 3x(x - 2) + 1(x - 2) [/tex]
So our factor are
[tex](3x + 1)(x - 2)[/tex]
So in conclusion our factors are
[tex](3x + 1)(x - 2)(x + 1)(x - 3)[/tex]
And our x values are -1/3, 2, -1, and 3.
Q7 AND Q8 solve in full steps
Answer:
Steps in the picture
Hope it helps
17. Find the 15% commission on $400 in sales.
O $75
$60
O $40
O $15
hey i am just clueless
Answer:
x = 14
y = 6
Step-by-step explanation:
*Property*
In a parallelogram:
Opposite sides are equal.
Since, the given figure is a parallelogram we can apply this property and equate:
1) 2y + 1 = 13 2) x = y + 81) 2y + 1 = 13
subtracting 1 from both sides:
=> 2y + 1 - 1 = 13 - 1
=> 2y = 12
dividing both sides by 2:
=> 2y/ 2 = 12/ 2
On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator
On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:
=> y = 62) x = y + 8
We've got the value of y from equation 1).
Substituting it here:
=> x = 6 + 8
=> x = 14Answer:
Hence, we got the values of x and y as:
[tex]\mathsf{x = 14 }\\ \mathsf{ y = 6}[/tex]
last question on the page answer correctly or don't answer at all please because this is an annoying question
divide (3x^3 + x2 – 4) by (x + 2).
Answer:
[tex](x+2)(3x^3-5x-10)[/tex]
Step-by-step explanation:
If you don't know how to divide polynomials then I can help with that too or you can just search it up
can someone help me with this
[tex](3)\\\\17^{\tfrac 43} = \left(17^{\tfrac13\right)^4 = \left(\sqrt[3]{17}\right)^4 =\left(\sqrt[3]{17}\right)^3 \left(\sqrt[3]{17}\right) = 17\sqrt[3]{17}[/tex]
[tex](4)\\\\\text{First term, a= 4,}\\\\\text{Common difference,}~ d =13-4 = 9\\\\\text{nth term} = a+(n-1)d = 4 +(n-1)9 = 4+9n-9 = 9n-5\\\\\text{ 5000th term} = 9(5000) -5 =44995[/tex]
What is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187. 5, … /.
The common ratio for the given geometric sequence, written as a fraction is [tex]\frac{5}{8}[/tex]
Given the following geometric sequence:
768, 480, 300, 187. 5To determine the common ratio for the given geometric sequence:
The common ratio of a geometric sequence refers to the ratio or constant factor between two (2) consecutive numbers in the sequence.
Mathematically, the common ratio of a geometric sequence is given by the formula:
[tex]C=\frac{T_{n+1}}{T_n}[/tex]
Substituting the given parameters into the formula, we have;
[tex]C = \frac{300}{480} \\\\C=\frac{30}{48} \\\\C=\frac{5}{8}[/tex]
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lois made a dish with 6 1/3 cups of pasta . One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lous made?
Answer:
33 2/3
Step-by-step explanation:
First you would change 0.2 to a fraction. This would be 1/5. You would then have to make these two have a common denominator. 6 1/3 would also become an improper fraction for visual sake.. The lowest common denominator they share is 15. I've drawn the process in the image above.
So now we have 95/15 and 3/15. From here, we would divide 95 by 3.
95 ÷ 3 = 31 10/15
This would give us 31 and 10/15 servings of pasta in the bowl. If we're talking about full servings, 31 would be the correct number, but if we're talking exact, then it is 31 2/3.
What is 0.02349 written in standard form to 3 significant figures
Solve from right to left
[tex]\\ \sf\Rrightarrow 0.02349[/tex]
[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]
[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]
Option C is correct
Convert 324ten to base two
Converted using rapidtables.
HELPP
There are 17 boys and 15 girls in a math class. The teacher is selecting 5 students to represent the school on the student advisory council.
Determine the probability, to the nearest hundredth, that exactly 3 boys will be selected.
If today is Saturday, what day will it be 70 days from now?
Answer:
If today is Saturday, then after 70 days, we will be on a Saturday again.
Step-by-step explanation:
Basically, 70 days = 10 weeks
Which means: 1 week = 7 days
We also know that if we are on a Saturday, then after a week, we will be on a Saturday again. Therefore, if we are on a Saturday, after 10 weeks or 70 days, we will be on a Saturday again.
Hoped this helped.
Find the area of triangle ABC. Give your answer correct to 1 decimal place. A 9 cm 8 cm 10 cm B
HELP PLEASE HAHAHA
Find the area of the figure.
triangle with base 18 in. and height 13 in.
The area of this triangle is
is
Answer:
117 square inches
Step-by-step explanation:
234/2
Answer:
A = 117 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 18 and h = 13 , then
A = [tex]\frac{1}{2}[/tex] × 18 × 13 = 9 × 13 = 117 in²
Plzzzz help meeeeee plzzzzzzz
the answer is 120 because if you multiply 0.40 aka 40% by 300 you will get 120
Answer:
120
Step-by-step explanation:
To find the answer, multiply 300 with 0.40
To confirm this answer, divide 120 by 0.40
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
3:7
Step-by-step explanation:
She has 3 tennis and 7 soccer
Convert the following from factored form to standard form.
f\left(x\right)=\left(x+5\right)\left(x-1\right)f(x)=(x+5)(x−1)
Answer:
the mmic is back still swords rund eep
Step-by-step explanation:
On a snow day, Claire created two snowmen in her backyard. Snowman A was built to a height of 29 inches and Snowman B was built to a height of 54 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 3 inches per hour and Snowman B's height decreased by 8 inches per hour. Let
A
A represent the height of Snowman A
t
t hours after sunrise and let
B
B represent the height of Snowman B
t
t hours after sunrise. Write an equation for each situation, in terms of
t
,
t, and determine the number of hours after sunrise when both snowmen have an equal height.
Answer:
29 - 3t = 54 - 8t
-29 -29
-3t = 25 - 8t
+8t +8t
5t = 25
/5 /5
t = 5
The snowmen will have an equal height after 5 hours.
Help help help help math math math
Answer:
27 in²
Step-by-step explanation:
The area (A) is calculated as
A = πr² ( r is the radius ) , then
A = π × 3² = 3 × 9 = 27 in²
7.2 divided by 450 !!
Answer:
62.5
Step-by-step explanation:
In parallelogram ABCD, the following is true: m
m
m
m
m
m
Step-by-step explanation:
pa brainlest po hope it helpTwo fractions in the middle of 1/4 and 3/4