Answer:
For an nth term U(n) = a + (n - 1)d
n = number of terms
a = first term
d = common difference
a = 5
d = 2 - 5 = - 3
U(n) = 5 + (n -1)-3
= 5 - 3n + 3
= 8 - 3n
The formula for the sequence is 8 - 3n
Hope this helps
Select the two values of x that are roots of this equation.
2x-5=-3x^2
Answer:
A & D
Step-by-step explanation:
=> 3x²+2x-5 = 0
=> Using Mid-term Break Formula
=> 3x²-3x+5x-5 = 0
=> 3x(x-1)+5(x-1) = 0
=> (3x+5)(x-1) = 0
Either,
3x+5 = 0 OR x-1 = 0
x = [tex]-\frac{5}{3}[/tex] OR x = 1
Answer: x = 1 and x = 5/3
Step-by-step explanation:
A 1000 pound boat sits on a ramp inclined at 22 degrees. How much force is pulling down the ramp, and how much force is pressing on a line perpendicular to the ramp?
Answer:
The force pulling down the ramp is 374.6 lb
The force pressing on a line perpendicular to the ramp is 927.1 lb
Step-by-step explanation:
Given;
weight of boat (mg) , w = 1000 lb
angle of inclination of the ramp, θ = 22 degrees.
The force pulling the boat down, which is 'mg' has two components; the parallel component of the force which is pulling down the ramp and the vertical component of the force which is force pressing on a line perpendicular to the ramp
Parallel component of the force, F = mgsinθ
F = wsinθ
F = 1000 sin(22)
F = 1000 x 0.3746
F = 374.6 lb
Vertical component of the force which is force pressing on a line perpendicular to the ramp.
F = mgCosθ
F = wCosθ
F = 1000 x Cos(22)
F = 1000 x 0.9271
F = 927.1 lb
How do you create and use a table to solve problems?
Answer: Organizes Data
Step-by-step explanation:
A table can help you organize information, and it can show patterns you can make tables with time, line plots, graphs
x intercept f(x)=(x+4)^2
Answer:
-4Step-by-step explanation:
Given the function f(x)=(x+4)², the x intercept occurs at f(x) = 0, substituting f(x) = 0 into the given equation to get the value of x we have;
[tex]0 = (x+4)^{2} \\[/tex]
Taking the square root of both sides
[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]
Subtracting 4 from both sides of the equation
[tex]x+4-4 = 0-4\\x = -4[/tex]
Therefore the x intercept of the equation is -4
What is the measurement of angle 2 ?
A.140˚
B.40˚
C.50˚
D.220˚
Answer:
im pretty sure 140 because if you take away the seperating line between the given angle and 3 its 180 which if you would do the same to the other side it would be identical. So Try 140
Step-by-step explanation:
It is Option A 140° as the opposite angles are of equal measures in intersecting lines.
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)
Answer:
i hope this helps and its clear !
I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answer
C
Step-by-step explanation:
PRIMERO ENCUENTRAS x
y = 6x - 5
y = x + 5 (-1)
5x + 10
x = 10/5 = 2
ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES
ORIGINALES.
y = 62) - 5 = 7
Which pair of points have equal x-coordinates
Each term in the sequence below is 2 less than 1/2 the previous term. What term of the sequence will be the first term to be a negative number?
256, 126, 61, 28.5, ....
Plz explain
Answer:
8 th term
Step-by-step explanation:
Continuing the sequence from the last term given (term 4 )
a₅ = 0.5 × 28.5 - 2 = 14.25 - 2 = 12.25
a₆ = 0.5 × 12.25 - 2 = 6.125 - 2 = 4.125
a₇ = 0.5 × 4.125 - 2 = 2.125
a₈ = 0.5 × 2.125 - 2 = 1.0625 - 2 = - 0.9375 ← negative
The first term to be negative is term 8
Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour. find the ratio
Answer:
Cycle : Scooter = 15 : 30
or, Cycle : Scooter = 1 : 2
Step-by-step explanation:
How many seconds are in a day? Use the following unit conversions: 60 sec = 1 min 1 hr = 60 min 24 hr = 1 day A 150 B 1,440 C 3,600 D 86,400
Answer:
There are 86,400 seconds in a day. (Answer choice C)
What is the following product? (2 sqrt 7 + 3 sqrt 6)(5 sqrt 2 + 4 sqrt 3
Answer:
[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]
Hope this helps!
Answer:
(2√7 + 3√6) x (5√2 + 4√3)
Multiply the parentheses
= 10√14 + 8√21 + 15√12 + 12√18
= 10√14 + 8√21 + 30√3 + 12√18
Which of the following expressions have a quotient of –2? Check all that apply. –12 ÷ –6 –12 ÷ 6 –6 ÷ –3 6 ÷ –3 –6 ÷ 3
Answer:
12 ÷ –6, –12 ÷ 6, 6 ÷ –3, –6 ÷ 3
Step-by-step explanation:
Ignore the negative signs. If their quotient is 2 and only 1 of the 2 numbers have a negative sign, they make -2.
Answer:
2
4
And 5
Step-by-step explanation:
The vertex form of the equation of a parabola is y= 2(x + 4)2- 21.
What is the standard form of the equation?
O A. y = 2x2 + 12x+17
O B. y = 4x2 + 4x + 9
O c. x = 2y2 + 5y + 17
O D. y = 2x2 + 16x+11
Answer:
D. y = 2x2 + 16x+11
Step-by-step explanation:
this is the correct answer, the person above me is incorrect!!
ap ex :)
The standard form of the equation y = 2x² + 16x 11. Then the correct option is D.
What is the parabola?The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertex form of the equation of a parabola is y = 2(x + 4)² – 21.
Expand the equation, we have
y = 2(x + 4)² – 21
y = 2(x² + 16 + 8x) – 21
y = 2x² + 32 + 16x – 21
y = 2x² + 16x 11
Then the correct option is D.
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ2
For what values (cases) of the variables the expression does not exist: a/a-b
Answer:
The cases are when a-b = 0 and when a = b
Step-by-step explanation:
An expression is termed as undefined (not to exist) if the denominator of the expression is zero. Given the expression a/a-b, the denominator of the expression is a-b. For the expression to be undefined, the expression at the denominator must be equal to zero i.e a-b = 0
If a - b = 0, then a = 0+b; a = b
Another case for the function not to exist is if a = b
Which of the following expressions is equivalent to b x b? A. 2b B.) b^2 C.)2^b D.)2b^2
Answer:
B
Step-by-step explanation:
because b x b is equals to b raised to the power of 2
The expression that is equivalent to b x b will be b².
For this question to be solved, you simply have to multiply the values given. In this case, you're multiplying the same value twice and this will simply be raised to the power of 2.
Therefore, based on the question asked, b × b will be:
= b × b
= b²
Therefore, the value of b × b is b².
Read related link on:
https://brainly.com/question/16687046
calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high
Answer:
432 cm²
Step-by-step explanation:
To find the surface area of a cuboid, there is a formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
Multiply all the terms.
336+96
Add both the terms.
= 432
The surface area of the open cuboid is 432cm².
Answer:
432 cm²
Step-by-step explanation:
The formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
336+96
= 432
The surface area of the open cuboid is 432cm²
Here are four fractions.
A.
B. § c.
10
Look at the number line below.
Write the letter for each fraction in the correct box.
0.5
Hey! I am not stealing points, but pls complete your question. Which number line are you asking about? Where is the number line image?
Also, where is the option A?
Pls complete your question.
f(x) = x^2. What is g(x)?
Answer:
Step-by-step explanation:
[tex]f(x) =x^2[/tex] is, in vertex form,
[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.
g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is
[tex]g(x)=-x^2-4[/tex], choice D in your list.
Answer:
D
Step-by-step explanation:
The opposite side of function f(x) is g(x). So -x².
The y-intercept is -4.
- x² - 4
In the triangle below, what is the tangent of 60*?
Answer:
Step-by-step explanation:
We have 3 triangles here, all of them right triangles. The first one is the biggest one, triangle ABC. We know the side length AB = 14, and we know the hypotenuse length, BC = 30. We can use that, along with Pythagorean's Theorem, to solve for side length AC:
[tex]30^2=14^2+(AC)^2[/tex] and
[tex]900-196=(AC)^2[/tex] and
[tex]704=(AC)^2[/tex] so
[tex]AC=8\sqrt{11}[/tex]
We also have the smallest right triangle, triangle ABD, which has the base of x, our unknown. Side BD is our unknown, length x; side AD is the height, length y (also unknown); and side AB is the hypotenuse, length 14. We will come up with a system of equations for these 2 right triangles, using Pythagorean's Theorem, and then solve for x using substitution.
For the medium-sized triangle. triangle ADC, the hypotenuse is side AC with a measure of 8√11, the height is side AD length y, and the base is side DC length 30 - x. Putting those values into Pythagorean's Theorem:
[tex](30-x)^2+y^2=(8\sqrt{11})^2[/tex] and
[tex]900-60x+x^2+y^2=704[/tex] and
[tex]x^2-60x+y^2=-196[/tex]*** That's starred because it's important and we will come back to it.
The smallest triangle in Pythagorean's Theorem:
[tex]14^2=x^2+y^2[/tex] and solving that for y-squared:
[tex]y^2=196-x^2[/tex]. We will now sub that value for y-squared into the starred equation for y-squared and solve for x:
[tex]x^2-60x+196-x^2=-196[/tex] and
-60x = -392 so
x = 6.5
A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of x in the drawing below:
Answer:
x = 8
Step-by-step explanation:
==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.
Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.
Thus, AB/EF = BC/FG = CD/GH = DA/HE
We have: 3/y = 4/3 = 5/z = x/6
Finding z:
4/3 = 5/z
Cross multiply
4*z = 5*3
4z = 15
z = 15/4
z = 3.75
Let's find x:
5/z = x/6
5/3.75 = x/6
Cross multiply
6*5 = x*3.75
30/3.75 = x
8 = x
x = 8
i’m not able to solve this question
Answer this ASAP please! Thanks!
Answer:
It is D.
Step-by-step explanation:
270 degrees counterclockwise is 90 degrees clockwise.
Graph y≤−2/3x+6. PLEASE I NEED HELP!!!!:((
Answer:
First graph -2/3x+6 (Slope of -2/3)
(Y intercept of 6)
Then shade everything under that line
Question 18 of 112
Rocky paid $18378.00 cash and traded-in his old car for $5442.00
What was the price of his new car? (Use the keypad to enter your answer.)
Answer:
23820$
Step-by-step explanation:
Please answer this function !!!
Answer:
f(6)=-114Solution,
[tex]f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114[/tex]
hope this helps.
Good luck on your assignment..
Answer:
-114
Step-by-step explanation:
To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.
f(x) = -4x + 5x
f(6) = -4(6) + 5(6)
f(6) = -4(36) + 30
f(6) = -144 + 30
f(6) = -114
The answer is -114.
Please help meh lol.
Answer:111m^2
Step-by-step explanation:
What does 8:8 equal?
Answer:
1
Step-by-step explanation:
8:8=1
Answer:
8:8 simplified is 1:1 or just 1 for short.
each of the letters in the word SNOWFLAKE are on seperate cards face down on the table. If you pick a card at random, what is the probaility that the letter on it will fall within the range of "L" and "T" in the alphabet?
Answer:
1:9 probability it will fall on "L" and there is a 0:9 probability it will fall on "T" because "SNOWFLAKE" doesn't have the letter "T" in it.
Which of these numbers have exactly two factors 7 8 9 10
A B C D
Answer:
A. 7
Step-by-step explanation:
If a number has exactly two factors, 1 and itself, the number is a prime number. The only prime number below is 77= 1*7
8= 1*8= 2*4
9= 1*9= 3*3
10= 1*10= 2*5