Answer:
[tex]-3x+42[/tex]
Step-by-step explanation:
[tex](2x+38) - 5x +4[/tex]
[tex]2x+38 - 5x +4[/tex]
[tex]2x+38+ - 5x +4[/tex]
[tex]2x+-5x+38+4[/tex]
[tex]-3x+42[/tex]
Find the ninth term of the geometric sequence a4= -135,r=-3
Answer:
The nth term of the geometric sequence is is 32805
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]
Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio
We are given the fourth term of this sequence
[tex]a_4 = -135[/tex]
The common ratio is
[tex]r = -3[/tex]
Once we find the 1st term then we can find any other term.
[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]
So the ninth term of this geometric sequence is
[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]
Therefore, the nth term of the geometric sequence is is 32805
The equation of the line of best fit is y = 10x + 40. What does the y-intercept represent?
A.
the total number of questions on the test
B.
the average number of hours the students spent studying
C.
the total number of hours the students spent studying
D.
the test score of a student who did not study
Answer: D
Step-by-step explanation:
For a student who did not study for the test you will still score 40 on the test by using you own knowledge.
each ice cream cone cost $100. Students get 5 1/2 and seniors get 7 1/2. how much more does seniors get?
Answer:
2
Step-by-step explanation:
7 1/2 - 5 1/2
7.5 - 5.5
2
using soh cah toa find length of WX and round to the nearest tenth of a foot?
Answer:
The length WX is about 14 feet.
Step-by-step explanation:
This problem involves finding the adjacent side to a known acute angle in a right-angle triangle, therefore, the trigonometric function that we use is that of the tangent of the angle:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(31^o)=\frac{8.4}{x}\\x=\frac{8.4}{tan(31^o)}\\x=13.9799\\x \approx 14[/tex]
Therefore, the length WX is about 14 feet.
Solve the equation shown below.
1/2x−6=4
x =−4
x=−2
x=10
x=20
Answer:
x = 20
Step-by-step explanation:
→Add 6 to both sides:
[tex]\frac{1}{2} x-6=4[/tex]
[tex]\frac{1}{2} x=10[/tex]
→Multiply both sides by 2:
x = 20
Which algebraic expression represents “the quotient of a number and six”? 6 + w 6w 6 – w StartFraction w Over 6 EndFraction
Answer:
The one with the fraction is the answer.
Step-by-step explanation:
Quotient means dividing, so the answer has to have a fraction sign in it. We can't see the answer options properly, so whatever one with the fraction is the one you should choose. I think it's the third option that you wrote.
Hope this helped!
Answer:
It’s d
Step-by-step explanation:
Please answer this ASAP!!
Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]
Step-by-step explanation:
Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.
From the given figure of trapezium, we have
a = 10 m
b = 16 m
h = 7.6 m
Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]
Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].
Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]
[tex]= 52[/tex] litres
Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]
then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]
Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]
Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]
(07.06 LC) Which statement is true about the equation fraction 4 over 5z − fraction 1 over 5z + 4 = fraction 3 over 5z + 6? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.
Answer: no solution
Step-by-step explanation: 4/5z - 1/5z = 3/5z
3/5z + 4 = 3/5z + 6
No solution
Answer:
[tex]$z=-\frac{48}{55} $[/tex]
It has one solution.
Step-by-step explanation:
[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]
Once we have fractions we already know the values when the equation is not true. I'm talking about division when the denominator is 0. It is undefined.
The values for [tex]z[/tex] are:
[tex]$0 ; -\frac{4}{5} \text{ and } -\frac{6}{5} $[/tex]
Now let's find [tex]z[/tex]. First, we have to find the least common multiplier:
In this case: [tex](5z+4)(5z+6)(5z)[/tex]
[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]
[tex]$\frac{4(5z+4)(5z+6)}{(5z+4)(5z+6)(5z)}-\frac{1(5z)(5z+6)}{(5z+4)(5z+6)(5z)}=\frac{3(5z)(5z+4)}{(5z+4)(5z+6)(5z)} $[/tex]
I will not proceed in the way above because it would take some time to type, instead, multiply [tex](5z+4)(5z+6)(5z)[/tex] both sides.
[tex]4(5z+4)(5z+6)-1(5z)(5z+6)=3(5z)(5z+4)[/tex]
[tex](20z+16)(5z+6)-(5z)(5z+6)=15z(5z+4)[/tex]
[tex]100z^2+200z+96-25z^2-30z=75z^2+60z[/tex]
[tex]200z+96-30z=60z[/tex]
[tex]200z-90z=-96[/tex]
[tex]110z=-96[/tex]
[tex]$z=-\frac{96}{110} $[/tex]
[tex]$z=-\frac{48}{55} $[/tex]
Express the recurring decimal 0.1555555555... as a fraction give answer in its simplest form
in it's simplest form it's 0.1555555555
What is the product? (x^4)(3x^3-2)(4x^2)(4x^2+5x)
(A 12x^9+15x^8-8x^6-10x^5
(B 12x^24+15x^12-8x^8-10x^4 (C 12x^9-10x^5
(D 12x^24-10x^4
Answer:
Definitely A
Step-by-step explanation:
When multiplying you add exponents.
[tex]x^{4} (3x^{2} -2) = 3x^{7} -2x^{4} \\FOIL (3x^{7} -2x^{4})(4x^{2} +5x) = 12x^{9} +15x^{8} -8x^{6} -10x^{5}[/tex]
Answer:
A)
Step-by-step explanation:
1000% sure. Use foil method and add exponents together... Also on edge.
Simplify.
Please I need it
Answer:
[tex]a^2[/tex]
Step-by-step explanation:
[tex]\sqrt[m]{a^{2m}}[/tex]
[tex]a^{2m \times 1/m}[/tex]
[tex]a^{\frac{2m}{m}}[/tex]
[tex]a^2[/tex]
circumference in terms of pi does anyone know this?
Answer:
15 pi
Step-by-step explanation:
Answer:
15π cm
Step-by-step explanation:
The circumference of a circle can be found using the following formula:
c= d* π
We know that the diameter of the circle is 15 centimeters. Therefore, we can substitute 15 cm in for d
c= 15 cm * π
Since we are told to find the circumference in terms of pi, the answer is left as:
c= 15*π cm
c= 15π cm
Solve for x: x + 18 = -37 A. x = -55 B. x = -18 C. x = -19 D. x = 14
Answer:
A. x= -55
Step-by-step explanation:
got it
50 points!!!!!!
Match the vocabulary word with the correct definition.
1. one-to-one correspondence
2. included side
3. corresponding angles
4. congruent figures
5. corresponding sides
6. included angle
Sides paired with one another in a
one-to-one correspondence between
figures.
If a one-to-one correspondence
between the parts of two figures is such
that the corresponding parts are equal,
then the figures are congruent.
The side of a triangle that is formed
by the common side of two angles.
A situation for which each member
of a set, such as angles of a triangle, can
be paired with one and only one
member of another set. The angle formed by two sides of a
triangle
Angles paired with one another in a
one-to-one correspondence between
geometric figures.
Answer:
5. corresponding sides -> Sides paired with one another in a one-to-one correspondence between figures.
4. congruent figures -> If a one-to-one correspondence between the parts of two figures is such that the corresponding parts are equal, then the figures are congruent.
2. included side -> The side of a triangle that is formed by the common side of two angles.
1. one-to-one correspondence -> A situation for which each member of a set, such as angles of a triangle, can be paired with one and only one member of another set.
6. included angle -> The angle formed by two sides of a triangle
3. corresponding angles -> Angles paired with one another in a one-to-one correspondence between geometric figures.
I need some help quick on these questions.
approximate the value of √5 to the nearest hundredth
Answer:
2.24
Step-by-step explanation:
[tex]\sqrt{5}[/tex] = 2.236067977...
Rounded to the nearest hundredth = 2.24
Answer: 2.24
Step-by-step explanation:
Use a calculator of some sort and find the square root of 5. Round to two decimal places after the whole number.
.Two year ago my age was x years, then what was my age 5 years ago?
(1 Point)
x + 7
x -2 - 5
x - 5
x - 3
if f(x)=x^2 and g(x)=1/2x+3 find g(f(-1))
Answer:
1/5
Step-by-step explanation:
F(x)=x^2
g(x)=1/(2x+3)
g(f(-1))=?
x=-1→f(-1)=(-1)^2→f(-1)=1
g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5
solve for k. 2.5(4k+2) =12k
Answer:
2.5
Step-by-step explanation:
2.5(4k+2) =12k
2.5*6k=12k
Answer: 2.5
Step-by-step explanation:
Whats the radius of this?
Answer:
Its trying to trick you, you dont need any fancy shmancy formula. If you see the 8 its trying to make you think of a formula but if there is a formula and you get it wrong then you get it wrong. Its easy the 8 is there but a circle has a radius no matter where you measure it. 8/2 = 4. Radius is 4 Diameter is 8
Think outside the box 4 is radius 8 is diamaterRick is deciding what to wear to school. He has two different shirts, two different pants and two different pairs of shoes to choose from. How many different outfit combinations does he have to choose from?
Answer:
a total of 8 outfits
Step-by-step explanation:
shoes: L1, L2
shirts: S1, S2
pants: P1, P2
1: S1, P1, L1
2: S1, P1, L2
3: S1, P2, L1
4: S1, P2, L2
5: S2, P1, L1
6: S2, P1, L2
7: S2, P2, L1
8: S2, P2, L2
I hope that makes sense, since I couldnt figure out how to show the diagram.
What is 25% of $4007
Answer:
$1001.75
Step-by-step explanation:
Do 4007 x 0. 25 on a calculator
plz help ASAP will give brainliest!!!
Answer:
Step-by-step explanation:
5.25x +6 =74.25
5.25x = 74.25 -6
5.25x =68.25
x = 68.25÷5.25
x = 13
Answer:
x=13
Step-by-step explanation:
1) Subtract 6 from both sides.
2) Divide by 5.25 on both sides to get x on its own.
[tex]5.25x+6=74.25\\5.25x+6-6=74.25-6\\5.25x=68.25\\\frac{5.25x}{5.25} = \frac{68.25}{5.25} \\x=13[/tex]
PLEASE JUST GIVE ME THE VOLUME! THE AREA OF THE SECTION IS 546! PLEASE ANSWER ASAP!!!!!!!
Answer:
3360
Step-by-step explanation:
By the Pythagorean Theorem, you know that:
[tex]C_1B_1=\sqrt{29^2-20^2}=\sqrt{841-400}=\sqrt{441}=21[/tex]
This means that the area of the triangular base is [tex]\dfrac{21\cdot 20}{2}=210[/tex]. Multiplying this by the height of the pyramid and dividing by 3, you get a volume of 3360. Hope this helps!
Kevin practices kicks for soccer he kicks 13 times at recess .he kicks 14 times after school. Then ke kicks 16 times before bes.how many practice kicks did kevin take in all
Answer:
43
Step-by-step explanation:
13+14+16=43
Answer:
43
Step-by-step explanation:
GIVING BRAINLIEST EASY QUESTION!!!!!!!!!!!!!!
The coordinate grid shows three points P, Q, and R:
A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 2, negative 8. Point Q is plotted on the ordered pair negative 4, negative 2. Point R is plotted on the ordered pair 8, negative 2.
The distance between Q and R is ______ units.
Answer:
The answer is 10! :)
(Just realized this was posted in 2020, but whatever)
which set of points contains the solutions to the inequality y < -2/3x - 13/3?
Answer:
D
Step-by-step explanation:
i need help please !
Answer:
A. Yes, because it passes the vertical line test.
Step-by-step explanation:
The vertical line test requires you to draw a vertical line through any part of the graph. If the line intersects the graph at only one point, the graph represents a function. This graph passes that test. As for the other answer choices, the "horizontal line test" is not a way to see if a graph represents a function. I hope this helps :))
Answer:
A. Yes, because it passes the vertical line test.
Step-by-step explanation:
The vertical line test states that you can draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function. In this case, the line doesn't intersect the graph more than once.
A baker is making bread rolls. He divides his dough into 8 equal pieces. He then cuts each one of these pieces into three, each of which is a single bread roll. He sells the rolls in bags of 4. original dough is in one bag of rolls give your answer in its simplest form
Answer:
6 bags
Step-by-step explanation:
8x3=24
24/4=6
Help me please!! Anyone
Answer:
180-88
92
Step-by-step explanation:
x=92
Answer:
I think its 92
Step-by-step explanation:
Supplementary angles always add up to 180
