Answer:
The formula of the nth term is a₇=48(1/2)⁷⁻¹=48×1/64=3/4
Step-by-step explanation:
Evaluate (4x + 4)(7x - 3).
Answer:
28x^2+16x-12
Step-by-step explanation:
(4x+4)(7x-3)
28x^2+28x-12x-12
28x^2+16x-12
The polygons are similar. Find the value of each variable.
[tex]\\ \sf{:}\dashrightarrow \dfrac{4}{x}=\dfrac{6}{9}[/tex]
[tex]\\ \sf{:}\dashrightarrow 6x=36[/tex]
[tex]\\ \sf{:}\dashrightarrow x=6[/tex]
#y
[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{12}{18}[/tex]
[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{2}{3}[/tex]
[tex]\\ \sf{:}\dashrightarrow 3y=24[/tex]
[tex]\\ \sf{:}\dashrightarrow y=8[/tex]
Here we go
4/x=6/94/x=2/32/x=1/3x=6And
y/12=12/1818y=12²18y=144y=8Identify the slope and y-intercept of the line 4x + 2y < 3.
Answer:
Step-by-step explanation:
4x+2y<3
y<-2x + [tex]\frac{3}{2}[/tex]
help i want to graduate by january :,)
Determine each measure. M
Check the picture below, tis corrected.
btw the picture is rather long, so the thumbnail here may not show all its size, so you may have to open the image in a new tab or window.
Each factory at a candy company has 498 workers. There are 12 factories. )
How many workers are employed at each candy company
Answer:
5,976 workers
Step-by-step explanation:
498 times 12 = 5976
Answer: 41.5
Step-by-step explanation: you have to do 498 divided by 12 and then you will get your answer.
What is the discriminate of the following quadratic equation?
4x^2 - 2x + 6 = 0
-92
Step-by-step explanation:
If a quadratic equation has the following form:
[tex]ax^2 + bx + c =0, \;\;\;a \neq 0[/tex]
then its discriminant D is defined as
[tex]D = b^2 - 4ac[/tex]
In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is
[tex]D = (-2)^2 - 4(4)(6) = -92[/tex]
Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:
[tex]D > 0,\;\;[/tex] there will be 2 real roots
[tex]D = 0,\;\;[/tex] there will be 1 real root
[tex]D < 0,\;\;[/tex] there will be 2 imaginary roots
Hence our given quadratic equation will not have any real roots but only imaginary ones.
Hello I need help with this math it’s negative fractions so -7 1/5 - (-2/5)
Answer:
-36/5
- . 2/5-=+2/5
-36/5+2/5
34/5 or 6 4/5
In ΔMNO, \text{m}\angle M = (6x+1)^{\circ}m∠M=(6x+1) ∘ , \text{m}\angle N = (3x-10)^{\circ}m∠N=(3x−10) ∘ , and \text{m}\angle O = (x+19)^{\circ}m∠O=(x+19) ∘ . Find \text{m}\angle N.m∠N.
Applying the triangle sum theorem, m∠N = 41°
What is the Triangle Sum Theorem?Triangle sum theorem states that the sum of the three interior angles of any triangle equals 180°.
Given the following interior angles of ΔMNO:
m∠M = (6x+1)°
m∠N = (3x-10)°
m∠O = (x+19)°
Find the value of x:
m∠M + m∠N + m∠O = 180°
Substitute6x+1 + 3x-10 + x+19 = 180
Add like terms10x + 10 = 180
10x = 180 - 10
10x = 170
Divide both sides by 10x = 17
m∠N = (3x-10)°
Plug in the value of xm∠N = 3(17) - 10
m∠N = 41°
Learn more about triangle sum theorem on:
https://brainly.com/question/7696843
Pls look at the picture for question.
Answer:
-5, -2, 3, 4
They are in the correct order already :)
Step-by-step explanation:
They greater a negative number is the less it becomes and positive numbers are always greater than negative ones.
Good luck :)
First to answer correctly will get brainiest.
How to get a number 100 by using four sevens (7’s) and a one (1)?
Answer:
read step-by-step explanation
Step-by-step explanation:
it's a trick question u can't u can get close doing (7+7)×(7+1)-7=105 but it's not 100
How do you divide 35 and 97.3
Answer:
To divide a decimal number by a decimal number, multiply the divisor by as many tens as necessary until we get a whole number, and remember to multiply the dividend by the same number of tens. For example, 13.8 ÷ 0.6 becomes 138 ÷ 6 = 23.
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 27 feet long with a wingspan of 18 feet. If the finished model will be 13.5 inches long, what will the wingspan be?
The length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet
Given:
Kit
Plane = 27 feet
wingspan = 18 feet
Model:
Plane = 13.5 inches
Wingspan = x feet
convert 13.5 inches to feet
1 feet = 12 inches
13.5 inches = 1.125 feet
So,
equate Ratio of plane to wingspan
27 : 18 = 1.125 : x
27/18 = 1.125 / x
cross product
27 × x = 18 × 1.125
27x = 20.25
x = 20.25/27
x = 0.75 feet
Therefore, the length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet
Learn more about ratio:
https://brainly.com/question/1781657
A marketing research company is estimating which of two soft drinks college students prefer. A random sample of n college students produced the following 95% confidence interval for the proportion of college students who prefer drink A: (.262. .622). Identify the point estimate for estimating the true proportion of college students who prefer that drink.
A) .18
B) .622
C) .262
D) .442
===================================================
Explanation:
To get the point estimate, we average the endpoints of the given confidence interval. Add up the endpoints and divide by 2
(low+high)/2 = (0.262+0.622)/2 = 0.442
The value 0.442 is right in the middle of the confidence interval, so it's a natural point estimate for the population proportion.
--------------
Alternative Method:
Subtract the endpoints to find the confidence interval width
width = high - low = 0.622 - 0.262 = 0.36
Cut this in half to get the margin of error (MoE)
MoE = width/2 = 0.36/2 = 0.18
Then we can either add on the MoE to the low endpoint, or subtract it from the high endpoint, to land on the center
center = low + MoE = 0.262 + 0.18 = 0.442center = high - MoE = 0.622 - 0.18 = 0.442If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?
Answer:
17 and a half days OR 18 days
Step-by-step explanation:
7 books : 8 days
20 books: x days
cross multiply
x = (8×20)÷ 7
x = 17.5
therefore
17 and a half days or 18 days
A chef prepared 100 plates of shrimp. There were 8 shrimp on each plate. How many shrimp did the chef prepare?
Answer:
800 shrimp
Step-by-step explanation:
100 plates of shrimp
8 shrimp on each plate
100 × 8 = 800
= 800 shrimp were prepared by the chef
Hope this helps.
HELP PLEASE FASTTT !! ANYONE??!
Answer: The angled line on graphs!
Step-by-step explanation: :)
HELP
find the a,b,c of this table
Answer:
a = b = 1 , c = - 8
Step-by-step explanation:
ax² + bx + c = y
( - 5 )² a - 5b + c = 12
c = - 8
3² a + 3b + c = 4
25a - 5b - 8 = 12 ⇔ 25a - 5b = 20 ⇔ 5a - b = 4 ........ (1)
9a + 3b - 8 = 4 ⇔ 9a + 3b = 12 ⇔ 3a + b = 4 .......... (2)
(1) + (2)
8a = 8 ; a = 1
b = 1
y = x² + x - 8
Plz help if understand this problem
This is the same as typing in 0.5x^7
Other equivalent forms are (1/2)x^7 or (x^7)/2
=====================================================
Work Shown:
[tex]\frac{d}{dx}\left[f(x^2)\right] = x^8\\\\f'(x^2)*\frac{d}{dx}(x^2) = x^8\\\\f'(x^2)*2x = x^8\\\\f'(x^2) = \frac{x^8}{2x}\\\\f'(x^2) = \frac{x^7}{2}\\\\f'(x^2) = \frac{1}{2}x^7\\\\f'(x^2) = \boldsymbol{0.5x^7}\\\\[/tex]
I used the chain rule on the second step. The chain rule will apply the derivative to the outer function f(x^2). Then we also apply the derivative to the inner function x^2 to get 2x, which is multiplied with f ' (x^2). From that point, we isolate f ' (x^2).
Side note: When applying the first derivative, it might help to think of f(x^2) as simply f(x) on a temporary basis.
...................................................................
plz write your proper question
Find the slope of the line that passes through (28, -25) and (27, 25).
Slope is the change in Y over the change in X:
Slope = (25- -25) / (27 - 28)
Slope = 50/-1
Slope = -50
If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?
The third ordered pair that satisfies the equation of the circle is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333)The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfies the equation of the circle is (123, 369).
Learn more about equation of circle here: https://brainly.com/question/11711668
Help with the answer
Answer:
3 6/7
Step-by-step explanation:
Absolute value is the distance a number is away from 0 on a number line; another way of thinking about absolute value is that it is the positive version of every number. So, the absolute value of -1 is 1, and the absolute value of 88 is 88. We can apply this rule to 3 6/7 - how far is it away from 0 on the number line? What is it as a positive number? Well it is 3 6/7 away from 0 on the number line, and it already is positive, so our final answer will be 3 6/7.
Hopefully that's helpful! :)
[tex]|3\frac{6}{7}|=3\frac{6}{7} =\frac{27}{7}[/tex]
ok done. thank to me :>
The width of a rectangle is represented by 5 1 2y.
The length is twice as long as the width. What is the
perimeter of the rectangle?
Answer:
33y
Step-by-step explanation:
since the equation of perimeter for a rectangle is lengthX2 + widthX2
and the width is given to be 5 1/2y is it? If it is so then the length will be 11y since 2X5 1/2y is 11y
and the perimeter will then be calculated as so;
11yX2 + 5 1/2yX2
so it will be 22y+11y which will give you 33y
AYO y'all can someone help wit this question urgent?
the amount in Maddies back account can be written ad a function of time. What is the equation for maddies bank account?!?
Answer:
I think this is right lol
Step-by-step explanation:
f(x)=49+x
y over 11 =8 .solve for y
Answer:
y=88
Step-by-step explanation:
find the answer pleasere
Answer:
b is the answer f(e) gives us b
Joshua wanted to know the distance between two cities. The scale on the map was 1/2 in = 10 km. The distance between the cities on the map was 2 1/4 in. What was the actual distance between the cities?
Step-by-step explanation:
remark : it is very unusual for a map to mix two measurement norms. they are normally either fully in the American or fully in the metric system.
but let's do the exercise.
the scale says 1/2 in = 10 km
but our measurement on the map brought us quarter inches.
so,
1/2 in = 2/4 in = 10 km
therefore
1/4 in = 10/2 = 5 km
now,
2 1/4 = 9/4 in
this is 9 times 1/4.
therefore, the distance between the 2 cities is
9 × 5 = 45 km.
14. The sun casts a shadow from a flag pole. The height of the flag pole is three times the length of its shadow. The distance between the end of the shadow and the top of the flag pole is 20 feet. Find the height of the flag pole.
Ryan needs to buy some pencils. Brand A has a pack of pencils for 7.49$ . Brand B has a pack of pencils for 9.97$ .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
Unit Price for Brand A: $0.31 per Pencil.
Unit Price for Brand B: $0.35 per Pencil.
Brand A is the better buy.
Step-by-step explanation:
Divide 7.49 by 24 to get 0.312 and round down to 0.31.
Divide 9.97 by 28 to get 0.356 and round down to 0.35 (0.36 is too much making the price $10.08)
Compare 0.31 and 0.35. (0.31 < 0.35)