Answer:
Your Answer mark me as brainlist
Step-by-step explanation:
slope = "rise over run" the difference in y values divided by the difference in x values
= 6/-3 = -2 = m. It's negative because as x increases, y decreases
plug that into the point slope formula, with either point. generally use the most simple point
y-h= m(x-k) where m= -2 and (k,h) = (2,-2)
y+2 = -2(x-2)
simply if you want
Y = -2x +4 -2 = -2x +2
or
2x +y = 2
Find [tex]a_{1}[/tex] in a geometric series for which [tex]S_{n}[/tex] = 189, r = [tex]\frac{1}{2}[/tex], and [tex]a_{n}[/tex] = 3.
Answer:
[tex] \displaystyle a_{1} = 108[/tex]
Step-by-step explanation:
we are given
the sum,common difference and nth term of a geometric sequence
we want to figure out the first term
recall geometric sequence
[tex] \displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r} [/tex]
we are given that
[tex]S_n=189[/tex][tex]r=\dfrac{1}{2}[/tex][tex]n=3[/tex]thus substitute:
[tex] \displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} } [/tex]
to figure out [tex]a_1[/tex] we need to figure out the equation
simplify denominator:
[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189[/tex]
simplify square:
[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189[/tex]
simplify substraction:
[tex] \displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189[/tex]
simplify complex fraction:
[tex] \displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189[/tex]
calculate reciprocal:
[tex] \displaystyle a_{1} \frac{7}{8} \times 2 = 189[/tex]
reduce fraction:
[tex] \displaystyle a_{1} \frac{7}{4} \ = 189[/tex]
multiply both sides by 4/7:
[tex] \displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7} [/tex]
reduce fraction:
[tex] \displaystyle a_{1} = 27\times 4[/tex]
simplify multiplication:
[tex] \displaystyle a_{1} = 108[/tex]
hence,
[tex] \displaystyle a_{1} = 108[/tex]
Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficient as time goes on. The following measurements, made at the start of each month, show the rate at which pollutants are escaping (in tons/month) in the gas: Time (months) 0 1 2 3 4 5 6 Rate 5 7 9 14 22 31 40 A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month. overestimate
Answer:
overestimate = 7
underestimate = 5
Step-by-step explanation:
Table
_________________________________
Time (months) 0 1 2 3 4 5 6
Rate 5 7 9 14 22 31 40
___________________________________
A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month.
Overestimate
For this case, we review the data in the table. The value for first month of total quantity of pollutants that escape is 7. Additionally, we can notice that the rate is increasing.
Just a month and that month has a value of 7
= 1* 7 (The largest value) = 7
Underestimate
This would be equivalent to the total until the previous meassure
= 1*5 = 5
Find the x- and y-intercepts of the parabola y=−x2+4x−4.
Answer:
Hope This Helps!
Step-by-step explanation:
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!! 100 POINTS
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
<1 and <7 , <2 and <8or<4 and <6 , <3 and <5Step-by-step explanation:
There are totally four pairs of alternate angles:Alternate interior angles:-
Pairs - <2 and <8 ; <3 and <5
Alternate exterior angles:-
Pairs - <1 and <7 ; <4 and <6
{You can choose any two pair}What is 1/3 divided by 2??
?X2=1/3
Answer:
2/33
Step-by-step explanation:
calculator.net
Answer:
.165, i think
.165×2 =.33
have a good day
7 more than the quotient of a number is 2 and 9
Given:
Consider the given statement is "7 more than the quotient of a number and 9 is 2".
To find:
The value of the unknown number.
Solution:
Let be the unknown number.
Quotient of a number and 9: [tex]\dfrac{x}{9}[/tex]
7 more than than the quotient of a number and 9: [tex]\dfrac{x}{9}+7[/tex]
It is given that, 7 more than the quotient of a number and 9 is 2.
[tex]\dfrac{x}{9}+7=2[/tex]
Multiply both sides by 9.
[tex]x+63=18[/tex]
[tex]x=18-63[/tex]
[tex]x=-45[/tex]
Therefore, the unknown number is -45.
Find the arc length of the following problem:
Answer:
[tex]61.261 {ft}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{270}{360} \times 2\pi \: r \\ \frac{270}{360} \times 2 \times \pi \times 13 \\ = 61.261 {ft}^{2} [/tex]
Can I have the brainliest please?Find the perimeter and area of the kite. pls
Laurel buys 3 balls of yarn. Each ball of yarn costs $4.75. She also buys 2 pairs of knitting needles. Each pair costs $5.75. She pays for her purchase with two 20- dollar bills. What is her change?
look at the figure. i’ll give you brainlest!!!
Answer:
u already got it cos x = 8f
Step-by-step explanation:
Marina will attend choir practice for 2-
hours on Saturday, 24 hours on Sunday,
and 3 hours on Monday. Next week,
Marina will attend choir practice for the
same number of hours on Saturday,
Sunday, and Monday.
What is the total number of hours
Marina will have choir practice over
these 6 days?
Answer:
58
Step-by-step explanation:
1).2+24+3 = 29
2) 29 x 2 = 58
HELP ME OUT PLZZZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
18.9
Step-by-step explanation:
The red figure is congruent to the blue figure. Which choice describes a sequence of transformations in which the blue figure is the image of the red figure? (In other words, try and map the red figure on the blue figure).
1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
Answer:
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.Step-by-step explanation:
Easy way to take one of the vertices and apply the transformations1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
False2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
True(-3, 3) → (3, 3) → (3 - 10, 3 - 9) = (-7, -6)3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
False4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
FalseWhat type of slope is this table?
Answer:
It is a negative slope :)
Oridinary interest method to find the rate of interest that make over photo pays on a loan of $8,000 for 285 days. If the amount of interest is $590.
Answer:
The correct answer is "9.3%".
Step-by-step explanation:
The given values are:
Amount of interest,
= $590
Principle,
= $8,000
Time:
= 285
Let the interest rate will be "x".
Now,
⇒ [tex]Amount \ of \ interest=Principle\times Interest \ rate\times \frac{time}{No. \ of \ days \ in \ year}[/tex]
On substituting the values, we get
⇒ [tex]590=8000\times x\times \frac{285}{360}[/tex]
⇒ [tex]590=6333.33\times x[/tex]
⇒ [tex]x=\frac{590}{6333.33}[/tex]
⇒ [tex]=9.3157 \ percent[/tex]
or,
⇒ [tex]=9.3[/tex]%
Choose the correct simplification of a^5b^6/a^4b^4
Answer:
answer is b²a is the correct answer
Step-by-step explanation:
happy to help :)
HELP!!!!!!!!!!!!!!!!!!!!!HELP ME PLEASE I WILL GIVE YOU 50 ponts
Answer:
D
Step-by-step explanation:
-3/8 converted to a decimal is -0.375
The absolute value of -0.5 is 0.5
hence, 0.5 is larger than -0.375
so the answer is d
hope this helps and is right :)
Answer:
Please look at the image.
Step-by-step explanation:
3
60°
х
x = -
y=--
How to solve
Answer5
Step-by-step explanation:
Please help me with this math problem.
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
[tex]d_1=2 - 16 = -14[/tex]
[tex]d_2=-2 - 2 = -4[/tex]
[tex]d_3 = 4--2 = 6[/tex]
[tex]d_4 = 20 - 4 = 16[/tex]
(2) Subtract adjacent differences in (1) above
[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]
[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]
[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]
Notice the calculated differences in (2) are the same.
Hence, the table is a quadratic function
Please help I’ll mark you as brainliest if correct!
Answer:
I think you are right
Step-by-step explanation:
I need to find the missing angle and arc measures.
please answer
Step by step
9514 1404 393
Answer:
1: 40°; 2: 110°; 3: 70°; 4: 45°; 5: 65°
6: 70°; 7: 70°; 8: 65°; 9: 45°; 10: 17.5°
11: 15°; 12: 37.5°; 13: 70°; 14: 72.5°; 15: 20°
16: 87.5°; 17: 77.5°; 18: 35°; 19: 75°; 20: 20°
21: 50°; 22: 95°
Step-by-step explanation:
The angles are shown in the attached. The following relationships are used to find them.
an inscribed angle is half the measure of the arc it subtendsthe sum of angles in a triangle is 180°the angles where chords cross are half the sum of the intercepted arcsthe total of arcs in a semicircle is 180°an exterior angle of a triangle is equal to the sum of the remote interior anglesacute angles in a right triangle are complementary_____
All of the arcs around the circle are shown except EL and HN. EL is the difference between 180° and the other marked angles in semicircle SLH. It is 90°. HN has a vertical central angle with arc SE, so is the same measure, 40°.
Angle 1 is the central angle for arc HN, so has the same measure: 40°.
Angle 2 is half the sum of arcs SL and HW, so is (130+90)/2 = 110°.
Angle 3 is vertical to the second remote interior angle in triangle BDQ where angle 2 is an exterior angle. That is ∠3 = ∠2 -∠1 = 110° -40° = 70°.
Angle 4 is half arc NL, so is (40° +30° +20°)/2 =45°.
Angle 5 is the remaining interior angle of ∆BNW, so is 180° -70° -45° = 65°.
Angle 6 is half of arc HE, so is (30° +20° +90°)/2 = 70°.
Angle 7 is half of arc SN, so is 140°/2 = 70°.
— note that triangle HNQ is an isosceles triangle with central angle 40°, so the two base angles (∠6 and ∠7) are (180° -40°)/2 = 70°.
Angle 8 is half the measure of arc LS, so is (90° +40°)/2 = 65°.
Angle 9 is half the measure of arc HW, so is (40° +50°)/2 = 45°.
Angle 10 is half the measure of arc ST, so is 35°/2 = 17.5°.
Angle 11 is half the measure of arc OT, so is 30°/2 = 15°.
Angle 12 is half the measure of arc NO, so is (50° +25°)/2 = 37.5°.
Angle 13 is half the measure of arc HE, so is 140°/2 = 70°.
Angle 14 is half the measure of arc HT, so is (180° -35°)/2 = 72.5°.
Angle 15 is half the measure of arc ES, so is 40°/2 = 20°.
Angle 16 is vertical to the remaining interior angle of the triangle containing angles 14 and 15. Its measure is 180° -72.5° -20° = 87.5°.
Angle 17 is half the sum of arcs ES and OH, so is (40° +115°)/2 = 77.5°.
Angle 18 is half the measure of arc RN, so is (30° +40°)/2 = 35°.
Angle 19 is half the sum of arcs LR and EW, so is (20° +130°)/2 = 75°.
Angle 20 is half the measure of arc HN, so is 40°/2 = 20°.
Angle 21 is complementary to angle 1, so is (90° -40°) = 50°.
Angle 22 is the remaining interior angle of triangle ACE, so is (180° -35° -50°) = 95°.
HELPPPP PLZ
Ben ordered a shipping container so he could ship a model car to Europe.
The container is in the shape of a rectangular prism
WHAT IS THE VOLUME OR COMAPSITY
Answer:
The shipping container's volume is 24 cubic feet.
Step-by-step explanation:
Being a rectangular box, you can find the volume of it by multiplying its length, width, and height together.
We're given the dimensions 4' x 2' x 3'. If we multiply those we get (4 × 2 × 3)', or 24 cubic feet. The box then has a volume of 24 cubic feet.
What percentage of the shape is green?
Answer:
86 %
Step-by-step explanation:
Total no. of squares = 50
No. of green squares = 43
Percentage of green squares = (43/50) x 100%
Percentage = 86%
Suppose you are asked to list in order of preference the best three movies you've seen this year. If you saw eight movies this year, in how many ways can the three best be chosen and ranked?
Answer:
The three best can be chosen and ranked in 336 ways.
Step-by-step explanation:
Since you are asked to list the movies in order of preference, the order is important, as a higher order leads to a higher preference. This means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
If you saw eight movies this year, in how many ways can the three best be chosen and ranked?
[tex]P_{(8,3)} = \frac{8!}{(8-3)!} = 336[/tex]
The three best can be chosen and ranked in 336 ways.
Which BEST describes the construction of a triangle if given the segment lengths of 10cm, 5 cm, and 4 cm? Unique Triangle, cannot be determined, triangle not possible, more than one triangle
Answer:
Step-by-step explanation:
a, b, c
a + b > c ; b + c > a ; a + c > b
5 + 4 < 10 ⇒ triangle not possible
Answer:
Triangle not possible.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.
5 + 4 = 9
9 cm is not longer than 10 cm.
10 > 9
Therefore, the triangle is not possible..
Round this number to the nearest thousandth.
4.9675
Answer:
4.968
Step-by-step explanation:
what is y=mx+b solve for x
Answer:
equation of a line
Step-by-step explanation:
Answer:
Formula used during line equations
Can someone help me with this ? it is relative frequency tables
Answer:
Step-by-step explanation:
36/78 = 0.46153,,,, nope.. not a choice
36/123 = 0.2926.... so the last answer looks good
A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Answer:
Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.
Find the volume of each figure. Round to the nearest hundredth if necessary.
Answer:
316.41 m³
Step-by-step explanation:
7.5x7.5x3.75=210.9375
3.75x3.75x7.5=105.46875
210.9375+105.4675=316.405