Answer:
x= -3 + [tex]\sqrt{14}[/tex]
Step-by-step explanation:
Write an explicit formula for an, the nth term of sequence 2,4,8
Answer:
2^n will be your explicit formula for this sequence.
Step-by-step explanation:
By analyzing the sequence;
2=2^1
4=2^2
8=2^3
and so on
We find that the numbers of this sequence progresses with 2 to the power of the nth term such as for 3rd term we have 2^3 which is 8.
Marco made 2 errors in solving the following inequality. Identify the mistakes and correctly solve.
-18 - 4y > 20
-4y > 2
y > -1/2
Answer:
Step-by-step explanation:
When moving -18 to the other side, he didn’t do 20 + 18. (Mistake 1)
When dividing 2/-4 he didn’t flip the inequality from > to <. (Mistake 2)
Correct:
[tex]-18-4y<20\\-4y<38\\y > -9.5 (or -4\frac{1}{2}[/tex]
In ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°. Find the area of ΔNOP, to the nearest square inch.
Answer:
552
Step-by-step explanation:
Area of a Triangle→S.A.S.
Area=1/2 ab sin C
area = 1/2 (64)(83) sin 168
area=552.213=552
If ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.Then area of ΔNOP is 552 square inch.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.
The length of two sides and an angle is given.
So we can use SAS postulate
The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
Area of a Triangle
Area=1/2 absin C
area = 1/2 (64)(83) sin 168
area =2656 sin 168
area=552.213=552
Hence area of ΔNOP, to the nearest square inch is 552 square inch
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
Determine whether the given description corresponds to an observational study or an experiment.
A quality control specialist compares the output from a machine with a new lubricant to the output of machines with the old lubricant.
Answer:Good luck hopefully somebody answer your question
Step-by-step explanation:
Which of the following is equal to tan θ using coordinates on the unit circle? Question 18 options: A) x∕y B) y C) y∕x D) x
Step-by-step explanation:
tan 0 = y/x (as a drawing attached)
The requried, y/x is equal to tan θ using coordinates on the unit circle. Option C is correct.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.
Here,
In a unit circle, the coordinates of a point on the circle are (cos θ, sin θ), where θ is the angle formed by the radius of the circle and the positive x-axis. Therefore, the tangent of θ is given by the ratio of sin θ to cos θ, which is (sin θ)/(cos θ) = y/x. Simplifying this expression, we get tan θ = y/x.
Therefore, the answer is option C) y/x.
Learn more about Circle here:
brainly.com/question/11833983
#SPJ3
Which phrase best describes f(x), graphed on the coordinate plane below?
A.f(x) is an odd function.
B. f(x) is an even function.
C. f(x) is both odd and even.
D. f(x) is neither odd nor even.
Answer:
D
Step-by-step explanation:
A girl work a works a basic week of 40 hours,and her basic rate is 6.25per hour .calculate her basic wage for that week
Answer:
250
Step-by-step explanation:
Basic wage is 40 * 6.25
Answer:
40x6.25=250
Step-by-step explanation:
She makes 6.25 per hour
she works 40 hours
Multiply the two to find how much she made in a week, not a day
r/7.1 = 4.2
what is r =
Answer:
r =29.82
Step-by-step explanation:
r/7.1 = 4.2
Multiply each side by 7.1
r/7.1 *7.1 = 4.2*7.1
r =29.82
Simplify the expression. 1−(sec2x−tan2x)
Answer: 1
−
1
(
s
e
c
2
−
1
t
a
n
2
)
Step-by-step explanation:
What is the probability of flipping a coin 8 times and getting heads 2 times? Round your answer to the nearest tenth of a percent. O A. 27.3% O B. 10.9% O C. 21.9% O D. 3.1% SUBMIT
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
Answer: 10.9
Step-by-step explanation
For the given corporate bond, whose annual simple interest rate is provided, find the
semiannual simple interest payment and the total interest earned over the life of the bond. As soon 365 days in a year.
$5200 company A, 30 year bond, 6.273%
Answer:
reagain and none that I know about the other day and none that I know that you are
What is the equation of the line that passes through the given point and is perpendicular to the given line?
Point: (1,1)
Line: y=1/5x+4/5
Step-by-step explanation:
Hey there!
The equation of a line which passes through the point (1,1) is (y-1) = m1 (x-1)...............(i) {using one point formula}
Also, another equation which is perpendicular to the line is y = 1/5 x + 4/5..........(ii)
Comparing equation (ii) with y= mx+c, we get;
Slope (m2) = 1/5.
Now, As per the condition of perpendicular lines,
m1*m2 = -1
or, m1 * 1/2 = -1
or, m1= -2
Therefore, m1 = -2.
Keeping the value of m1 in equation (i) we get;
y-1 = -2(x-1)
y-1 = -2x+1
or, y+2x-2= 0
Therefore, the required equation is 2x+y-2= 0.
Hope it helps!
- Mona Allen wants to buy a bed that costs $695. The city sales tax rate is 7%. In a nearby city the sales tax rate is 4%. How much less would the bed cost if Mona bought it in the nearby city?
Answer:
$20.85 less.
Step-by-step explanation:
City sales:
7% tax = 48.65
total bed cost = $743.65
Nearby City:
4% tax = 27.8
total bed cost = $722.8
city sale - nearby city
743.65 - 722.8
=20.85
Plz help me. I need to ace this. Thxx
Answer:
Their intersection point is the only point where the same input into both functions yields the same output.
Step-by-step explanation:
In this case, x = 0 and y = 5.
A mountain bike is prices at $413 if the sale tax is 6.5 percent what is the cost to purchase the mountain bike ? Round to the nearest cent if necessary
The cost to purchase the mountain bike is $439.85.
Deposits into a bank account are represented by positive numbers. Withdrawals from the
account are represented by negative numbers. Which amount represents a withdrawal of
less than $200 ?
$150
$-250
$250
$-150
[tex] \red{answer}[/tex]
$-150
2 apples plus 2 apples
Answer:
4 apples
Step-by-step explanation:
2 + 2 = 4
Hope this helps!
Good Luck!
:)
If you can, please mark me bralinest
2 + 2 = 4
Answer = 4 apples
hope this helped :)
What is the probability of choosing 2 red marbles and one black marble from a bag containing 7 black marbles, 8 red marbles & 10 blue marbles
Answer:
The probability would be 3/25
what is the ratio of 54:27 it the simplest form
Answer:
21
Step-by-step explanation:
Answer:
2 : 1
Step-by-step explanation:
54:27
Divide each side by 27
54/27:27/27
2 : 1
Pls help, will mark brainliest!
Answer:
x=45
Step-by-step explanation:
this should be right
Will choose brainliest! How would you do this problem?
Answer:
[tex]c=8[/tex]
Step-by-step explanation:
When we plug in the solution [tex](x+2)[/tex], we will substitute [tex]x=-2[/tex], as [tex]-2+2=0[/tex].
To be divisible, a remainder of zero must be yielded.
Let's substitute [tex]x=-2[/tex] to see what we need to make [tex]c[/tex]:
[tex]p(-2)=4\cdot(-2)^3+c\cdot (-2)^2+(-2)+2,\\p(-2)=-32+4c[/tex]
Remember that we want a remainder of zero:
[tex]-32+4c=0,\\4c=32,\\c=\boxed{8}[/tex]
Wat is the slope of the line that passes through the points 3,1) and (-2,5)
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m=\boxed{-\frac{4}{5}}[/tex]
»»————- ★ ————-««
Here’s why:
We can use the slope formula to find the slope of the two points given.⸻⸻⸻⸻
[tex]\boxed{\text{Recall that the slope formula is:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1), (x_2,y_2)-\text{Points}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{5-1}{-2-3} \\\\\rightarrow m=\frac{4}{-5}\\\\\rightarrow \boxed{m= -\frac{4}{5}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which numbers DO NOT have the same absolute value:
A. 0 and 1
B. -9 and 9
C. 4 and -4
D. 5 and the opposite of
Answer:
A
Step-by-step explanation:
The answer is A but I need more than one letter to answer this
The ratio of Luke's age to Jack's age is 3:2. If Luke is 36, how old is Jack?
Answer:
Jack is 24
Step-by-step explanation:
Luke : jack
3 2
We know like is 36
3*12 = 36, so we need to multiply by 12
Luke : jack
3*12 2*12
36 24
Answer:
24
Step-by-step explanation
Notice that Luke's real age is 12 times the number in the ratio, which is a simplified version of the original ratio, where they used division by 12 on both sides to get 3:2. Just do the opposite of division, which is multiplication, and multiply both sides of the ratio to get 36:24, which means that Jack is 24 years old!
Hope this helped you!
an integer is 8 less than 5 times another product is 85. find the integers
Answer:
x=5, x=-17/5
Step-by-step explanation:
x=integer
5x-8= ...is eight less than five times another product
=85
So our equation is x·(5x-8)=85
Steps:
distribute x
5x^2-8x=85
Subtract 85 to create a quadratic equation
5x^2-8x-85=0
Now I"ll upload the work that's shown in Symbolab because it's neater than my own work-
Hope I helped, have a nice day :)
Which point is the vertex for the graph of y= |x| + 2?
A. (0,0)
B. (0,1)
C. (0,-2)
D. (0,2)
E. (2,0)
The correct answer is vertex of the graph D. (0, 2).
To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).
Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.
Learn more about function here:
https://brainly.com/question/11624077
#SPJ8
Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
12
16
Answer here
Pythagorean theorem. A^2+B^2=C^2.
So 12^2+16^2=c^2
144+256=c^2
400=c^2
square root of 400=c
So C=20
Hit the heart if it was helpful :D
Step-by-step explanation:
Write what you know
Pythagorean theorum
a^2 + b^2 = c^2
rearrange and solve for c
sqrt(a^2 + b^2) = c
plug and chug
G varies inversely with the square
of H. When H is 4, G is 0.25.
Find the value of G when H is 0.3.
Answer:;4.4
Step-by-step explanation: Since it varies inversely we know G times H squared is equal to some constant, k. So we have G*H*H=k. We are told that when H=4, G=.25. Plugging this in, we have .25*4*4=k. This simplifies to 4=k. Our new equation is G*H*H=4. Now, we want to solve for G when H=.3. We plug it in. G*.3*.3=4 => G*.09=4. G=4/.09. This means G is approximately 44.4.
Answer:
G = 44.44
Step-by-step explanation:
Given the mathematical expression and data;
[tex] G = \frac {1}{H^{2}} [/tex]
H = 4 and G = 0.25
First of all, we would determine the constant of proportionality, k.
[tex] G = \frac {k}{H^{2}} [/tex]
Making k the subject of formula, we have;
k = GH²
Substituting the values, we have;
k = 0.25 * 4²
k = 0.25 * 16
k = 4
Next, we find the value of G when H = 0.3;
[tex] G = \frac {k}{H^{2}} [/tex]
[tex] G = \frac {4}{0.3^{2}} [/tex]
[tex] G = \frac {4}{0.09} [/tex]
G = 44.44
Find the length of x, round too the nearest tenth
Answer:
Step-by-step explanation:
take 66 degree as reference angle
using sin rule
sin 66=opposite/hypotenuse
0.91=x/16
0.91*16=x
14.56=x
14.6=x (after converting it to nearst tenth)
There is 1/3 of a pan of cornbread left. Four children are going to share it equally. What fraction of the whole pan of cornbread will each child get?
The fraction of the whole pan of cornbread each child will get is 1/12.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 1/3 of a pan of cornbread shared among 4 children.
Here, cornbread share of each child = Total quantity of bread/Number of children
= 1/3 ÷ 4
= 1/3 × 1/4
= 1/12
Therefore, the fraction of the whole pan of cornbread each child will get is 1/12.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2