Answer:
[tex]{ \tt{( \sqrt{7} x - 3 + 4) {}^{2} }} \\ { \tt{ = ( \sqrt{7}x + 1) {}^{2} }}[/tex]
» Split the bracket:
[tex]{ \tt{ = ( \sqrt{7} x + 1)( \sqrt{7}x + 1) }}[/tex]
» Open brackets following distributive property;
[tex]{ \tt{ = {7x}^{2} + 2 \sqrt{7} x + 1}}[/tex]
I NEED HELP PLEASE ILL MARK AT BRAINLEIST
Answer:
6 - a: ZXY
7 - a: ZX
Step-by-step explanation:
6.) Angle ZXY
7.) Side ZX
find the area of the figure.
Answer:
384 cm
Step-by-step explanation:
7.5 x 24 = 180
8.5 + 7.5 = 16
16 x 24 = 384
Mount Rogers rises 1/4 mile above sea level. Mount Taylor rises 6 times as high as Mount Rogers. Mount Sullivan rises 2 times as high as Mount Rogers. What is the difference in the elevation of Mount Taylor and the elevation of Mount Sullivan
1 mile is the difference between mount Taylor and mount Sullivan
Find the value of integral(4 to 10) 2f(x)-3dx
We know that
[tex]\displaystyle \int_1^4 f(x) \, dx = 8[/tex]
[tex]\displaystyle \int_1^{10} f(x) \, dx = 17[/tex]
By linearity of the definite integral,
[tex]\displaystyle \int_4^{10} 2f(x) - 3 \, dx = 2 \int_4^{10} f(x) \, dx - 3 \int_4^{10} dx[/tex]
Presumably, you're aware that
[tex]\displaystyle \int_a^b dx = b - a[/tex]
for any two numbers a and b, so the last integral is simply 6.
From the known integrals, we also know
[tex]\displaystyle \int_1^{10} f(x) \, dx = \int_1^4 f(x) \, dx + \int_4^{10} f(x) \, dx[/tex]
[tex]\displaystyle 17 = 8 + \int_4^{10} f(x) \, dx[/tex]
[tex]\displaystyle \int_4^{10} f(x) \, dx = 9[/tex]
so
[tex]\displaystyle \int_4^{10} 2f(x) - 3 \, dx = 2\times9- 3\times6 = \boxed{0}[/tex]
Latrice doubled her coin collection the first month, and then added 200 coins to her
collection the second month. Meagan added 85 coins to her collection the first week,
and then doubled her total the second week. Now Latrice and Meagan have the same
number of coins. Did they begin with the same number of coins
Answer:
No they did not start with the same number of coins (hope you don't need explanation tho)
ab - bc if a = 5, b = 3, and c = 4
Answer:
3
Step-by-step explanation:
Substitute
(5)(3)-(3)(4)
solve
15 - 12 = 3
Reviewing the given clues:
Given expression:
ab - bcGiven values:
a = 5b = 3c = 4________________________________________________Solution:
ab - bcSubstituting the given values:
=> (5)(3) - (3)(4)Solving:
=> 15 - 12Answer:
=> 3________________________________________________Hence, the answer is 3.
3. Here is a diagram of a softball field:
a. About how long is the fence around the field?
Outfield
Infield
b. About how big is the outfield?
110 ft
250 ft
(Hint: You can assume the infield is a circle.)
a. Length of the fence around the field = perimeter of quarter circle = 892.7 ft.
b. The area of the outfield is about 39,584 sq. ft..
What is the Perimeter of a Quarter Circle?Perimeter of circle = 2πr
Perimeter of a quarter circle = 2r + 1/4(2πr).
a. The length of the fence around the field = perimeter of the quarter circle fence
= 2r + 1/4(2πr).
r = 250 ft
Plug in the value
The length of the fence around the field = 2(250) + 1/4(2 × π × 250)
= 892.7 ft.
b. Size of the outfield = area of the full field (quarter circle) - area of the infield (cicle)
= 1/4(πR²) - πr²
R = radius of the full field = 250 ft
r = radius of the infield = 110/2 = 55 ft
Plug in the values
Size of the outfield = 1/4(π × 250²) - π × 55²
= 49,087 - 9,503
= 39,584 sq. ft.
Learn more about perimeter of quarter circle on:
https://brainly.com/question/15976233
(8,5) and (6,3)
what is the slope ?
Answer:
Step-by-step explanation:
Let,
[tex](x_1,y_1)=(8,5)\\(x_2,y_2)=(6,3)\\[/tex]
Using the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m= \frac{3-5}{6-8} \\m=\frac{-2}{-2} \\m=1[/tex]
what is the equation of the line in slope-intercept form? that has a slope of -2/5 and passes through (15,-2)
Answer:
y=3x+11
Step-by-step explanation:
We have to write the equation of line which is passing through the point (−2,5) and parallel to the line y=3x+1. Hence, equation of straight line in point slope form is (y−5)=3(x+2) and in slope-intercept form is y=3x+11
Which point has the coordinates (3,-2)
Answer:
B
Step-by-step explanation:
Since x is 3, you go 3 units right. Since y is -2, you go 2 units down.
Write the next number 4,12,24,43
4,122,443
four million, one hundred twenty two thousand, four hundred fourth three
The table below shows the number of customers that come eat lunch at a local deli each week.
Week Number of customers
1 50
2 45
3 60
4 40
5 70
6 35
7 80
8 ?
Based on the information, how many customers should the deli expect to serve during week 8?
A.) 30
B.) 50
C.) 70
D.) 90
Answer: D 90
Step-by-step explanation: all you have to do is keep counting and youll find out! Have a nice day hope this helps. and thats it have a fantastic day and morning everyone stay focused and always beleave you can get things right Yahuah bless you!
If $625 is invested at an interest rate of 7% per year and is compounded
continuously, how much will the investment be worth in 12 years? Use the
continuous compound interest formula: A = Pe^rt
Answer:
It will be worth approximately $ 1447.73.
Step-by-step explanation:
Since, the amount formula in compounded continuously,
Where,
P is the principal amount,
r is the rate per period,
t is the number of periods,
e is Euclid number,
Here, P = $ 625,
r = 7% = 0.07,
t = 12 years,
Hence, the amount after 12 years would be,
can someone help find the answer?
Answer:
75
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle:
3x + 2 + 55 = 13x - 3 add like terms
3x + 57 = 13x - 3 export like terms to the same side
57 + 3 = 13x - 3x
60 = 10x divide both sides by 10
6 = x to find angle FAB replace x with 6
13*6 - 3 = 75
1. Which ratio is equivalent to 4:10?
Answer:
2:5
Step-by-step explanation:
2:5 because 4 divided by 2 = 2 and 10 divided by 2=5. So, 2:5
Help please!!
Solve one twelfth divided by four by rewriting the division problem as a multiplication problem.
Answer:
man i never get to answer a question atleast 1 question plz god plz
which digit is in the trillions place in 12,345,678,900,000
Answer:
2
Step-by-step explanation:
Answer:
The answer is
→ 2
Step-by-step explanation:
Let's look at the number.
12,345,678,900,000
And were asked to find the digit in the trillions place in this number.
Well, if we say it by word, then it will be:
twelve trillion, three hundred and forty-five billion, six hundred and seventy-eight million, and nine hundred thousand
Well, since were trying to find the digit in the trillionth place, then 12 trillion cannot be correct because the digits are in the 10 trillionth place. Ignore the 1 and you can see a number 2 in the trillionth place.
Therefore, your answer is 2.
Hope this helped! :^)
Practice for the Test Jeremiah is giving away his sports card collection to some of his friends. What is the maximum number of friends he can give his cards to so that they all receive the same amount for both baseball and football
Help me plz help ASAP
Answer:
8 friends
Step-by-step explanation:
each get 3 football cards and 4 baseball cards
use hcf method (highest commen factors)
Дима и Саша выполняют одинаковый тест. Дима отвечает за час на 12 вопросов теста, а Саша — на 22. Они одновременно начали отвечать на вопросы теста, и Дима закончил свой тест позже Саши на 75 минут. Сколько вопросов содержит тест?
Answer:
Я думаю, что это 24, потому что 12 + 12 - это двадцать четыре, так как он закончил позже.
100 points
Multiply.
√8⋅√14⋅√21
Enter your answer, in simplest radical form, in the box.
Answer: [tex]28\sqrt 3[/tex]
Step-by-step explanation:
8 x 14 x 21 = 2352, so:
√8⋅√14⋅√21 = √2352
√2352 in simplest form is 28√3
I hope this helps!
A savings account earns 4.62% annual interest, compounded continuously. After approximately how many years will a principal of $500 double? 2 years 15 years D 44 years B 10 years
Step-by-step explanation:
are you having problems with something if so message this guy
help plz
Which ratio is not equivalent to the others,
3 to 1
6 to 3
9 to 3
12 to 4
Answer:
6 to 3
Step-by-step explanation:
3 to 1, 9 to 3, and 12 to 4 are all the same ratio as 3 to 1
If you push a lawn mower across a yard in 10 seconds, how does the work done compare with pushing it across the same yard in 20 seconds
there are 102 teachers in a school of 3300 students find the ratio of the number of teachers to the number of students
Answer: 17:550
Step-by-step explanation: 102/3300 divide both numbers by 2 .
51/1650 divide both numbers by 3
A regular deck of cards has a total of 52 cards. (Note: Aces count as 1.) If one card is drawn at random from the deck, find the probability of the following events:
1. It is a diamond
2. It is a jack
3. It is a diamond or a jack
4. It is an ace or a 9
it would be 4 right. if aces are 1 and you draw one card
Together, kamela and Leo have 198 stamps. Kamela’s collection has 62 more stamps Thant Leon’s collection. How many stamps does Leo have?
i need help
help
……..
Answer:
3rd option, 3x-2y > 6
Step-by-step explanation:
by using 2 points from the line, for example, (0,-3) and (2,0) we can find the slope:
= (-3-0)/(0-2)
= -3/-2
= 3/2
we can see from the graph that the y-intercept is -3
the equation of the line, in slope-intercept form, is:
y < 3/2x - 3
by multiplying each side by -2 we will get standard form
3x-2y > 6
On a survey eight students reported how many minutes it takes them to travel to school here are there responses 9, 11, 3, 14, 14, 7, 14, 6 find the mean travel time for these students. if necessary round your answer to the nearest 10th
Hi!
The answer to your question is 9.75 minutes
Here is the math to prove it:
9+11+3+14+14+7+14+6=78
Now you will take 78 and divide it by 8
This is because when finding the mean you add all of the given number together and then divide them by the amount of number added together.
78/8=9.75
Thus, your answer is 9.75 minutes
I hope this helped!
Have a wonderful day/night!
God bless!
What fraction of a day (24 hrs) is 2 hours and 27 minutes.
So a day is made up of 24 hours. An hour is 60 minutes long. This means that 24 hours is 24 x 60 = 1,440 minutes in a day
2 hours and 27 minutes is 147 minutes long.
To find what fraction of a day it is do this equation \:
147/1,440 = approximately 0.102 of a day.
For a percentage, multiply by 100
0.102 x 100 = 10.2%
Hope this helps!
Five double-digit numbers We have five consecutive positive double-digit integers. If we swap places on the numbers in the largest number, the sum of the five numbers increases by 1 more than the mean of the original numbers. What is the lowest number?
Answer:
33Step-by-step explanation:
Let the numbers are:
x, x + 1, x + 2, x + 3 and x + 4Their sum is 5x + 10Their mean is (5x + 10)/2 = x + 2If we swap the digits on the largest number, the sum increases by 1 more than x + 2
We are looking for the number x + 4 = ab such that:
ba - ab = ab - 2 + 1ba = 2ab - 110b + a = 2(10a + b) - 110b + a = 20a + 2b - 18b = 19a - 119a = 8b + 1By trial method we get the solution:
a = 3, b = 7Since x + 4 = 37, the lowest number is:
x = 37 - 4 = 33Lets verify:
33, 34, 35, 36, 37The sum is:
5*33 + 10 = 175The mean is:
35Change the largest number tp 73 and find the sum again:
175 + (73 - 37) = 175 + 36 = 175 + 35 + 1The sum has increased by 1 more than 35
