Answer:
16.6
Step-by-step explanation:
Since the numbers are decreasing as multiples, its a geometric progression.
[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{4}{10}=\frac{2}{5}\\ S_{7}=\frac{10(1-(2/5)^{7} )}{1-(2/5)} \\=16.6[/tex]
Write an equation in standard form of the hyperbola described.
Vertex (10, 0); focus (-26, 0); center (0,0)
Check the picture below, so the hyperbola looks more or less like the one below, let's find the conjugate axis or namely the "b" component.
[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=0\\ k=0\\ a=10\\ c=26 \end{cases}\implies \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 26^2=10^2+b^2\implies 676=100+b^2\implies \underline{576=b^2} \\\\\\ \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{576}\implies \boxed{\cfrac{x^2}{100}-\cfrac{y^2}{576}}[/tex]
what is derivative of f=x^3 + x^2
Answer:
3x^2-2x
Step-by-step explanation:
Help picture below problem 16
Answer:
c²=a²+b². 13²=12²+b² 169=144+b². b² =√25=5
Step-by-step explanation:
13² = ?² + 12²
169 - 144 = ?²
√25 = ?
5 yards = ?
d. Henrietta Hardworker normally earns $8.50 per hour in a given 40-hour work-
week. If she works overtime, she earns time and a half pay per hour. During the
month of October, she worked 40 hours, 50 hours, 45 hours, and 42 hours for the
four weeks. How much did she earn fotal for October?
Answer:
1432.25
Step-by-step explanation:
8.50 x 40 = 340
340 x 4 = 1360
half of 8.50 is 4.25
4.25 x 10 = 42.5
4.25 x 5 = 21.25
4.25 x 2 = 8.5
add
1360 + 42.5 + 21.25 + 8.5 = 1432.25
i hope i did my math right, good luck mate
solve for x !
[tex]x {}^{2} - 36 = 0[/tex]
thankyou ~
Answer:
X = 6. Give brainliest
Step-by-step explanation:
Solution:
x² - 36 = 0
or x² = 36
or x² = 6²
Therefore, the value of x is 6.
Answer:
x^2-36=0
x^2-36+36=0+36
x^2=36
x=√(36),x=-√(36)
√(36) → 6
-√(36) → -6
x=6,x=-6
A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed in the recipe?
Answer: 13 [tex]\frac{65}{72}[/tex]
Step-by-step explanation:
This question is asking us to find the total flour used, so we will add the two amounts together.
5 1/8 + 8 7/9
-
5 + 8 = 13
1/8 + 7/9 = 9/72 + 56/72 = 65/72
-
13 + 65/72 = 13 [tex]\frac{65}{72}[/tex]
The recipe calls for 13 [tex]\frac{65}{72}[/tex] cups of flour.
Please help I'll mark brainliest 2
Answer:
True
Step-by-step explanation:
To find the amount of observations all you need to do is just add up the dots. Adding the number of observations in each range should be true
nvm someone answered lol good luck!
Find the measure picture below
By the vertical angle theorem, angle K is equal to the angle of measure 28 degrees.
--> so k is 28 degrees
Def. of vertical angle theorem: states that the opposite (vertical) angles of two intersecting lines are congruent
Hope that helps!
Hiking club wanted to cover a different trail each day for a week. On Monday they had 2.3 miles, and Tuesday they height 1.8 miles, on Wednesday they height 3.2 miles, on Thursday they hide 1.4 miles, on Friday they hike 2.8 miles. what is the total distance they hiked
Answer:
11.5 Miles
Step-by-step explanation:
Add up all the mile times.
2.3+1.8+3.2+1.4+2.8=11.5
can someone tell me the answer
Answer:
A. 9/25
Step-by-step explanation:
There are a total of 25 T-shirts, which means that the denominator of the fraction is going to be 25 (which already rules out B and C). In the information they give us, they said that there are 9 red shirts. Therefore, the numerator will be 9. Our complete fraction is 9/25, or A.
I hope this helps! Have a lovely day!! :)
In the scale drawing below
Answer:
47.5m
Step-by-step explanation:
convert cm to metres 1.9cm×5=9.5m
Then times the side lengths with the amount of sides 9.5m×5=47.5m
The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written is all I haven’t figured out
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex] \qquad \sf \dashrightarrow \:y = a \sin(bx) + k[/tex]
Now, let's find the required values :
period (p) = 4
[distance between any successive Crest or trough]
a = - 3 (flipped)
b = 2π/p = 2π/4 = π/2
k = 1
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]
Suppose that at some future time every telephone in the
world is assigned a number that contains a country code
1 to 3 digits long, that is, of the form X, XX, or XXX,
followed by a 10-digit telephone number of the form
NXX-NXX-XXXX (as described in Example 8). How
many different telephone numbers would be available
worldwide under this numbering plan?
Using the Fundamental Counting Theorem, it is found that [tex]1.11 \times 10^{13}[/tex] different telephone numbers would be avaiable worldwide.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the code, considering that for each digit there are 10 possible outcomes, the number of options is [tex]n_1 = 10 + 10^2 + 10^3 = 1110 = 1.11 \times 10^3[/tex].For the number, there are 10 digits, each with 10 options, hence the number of options is [tex]n_2 = 10^{10}[/tex].Hence, the number of different telephone numbers that would be avaiable is given by:
[tex]N = n_1n_2 = 1.11 \times 10^3 \times 10^{10} = 1.11 \times 10^{13}[/tex]
[tex]1.11 \times 10^{13}[/tex] different telephone numbers would be avaiable worldwide.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
You work 44 hours at Candelaria's Tortilla Factory (CTF), You earn $15.00 per hour and you get paid 1.5 times
your base rate for hours worked over 40 hours. You pay 6.25% for Social Security, and 1.45% for Medicare.
You also pay $83.00 for your health insurance. You also put 3% of your gross pay into 401(k). How much is
your take home pay?
Answer:
$537.87
Step-by-step explanation:
First, we need to determine our total pay which will be 40 hours times our $15 per hour to be $600. For the extra hours above 40, we are payed 1.5 times as much.
$15 * 1.5 = $22.5 * (44-40) = $90 additional pay
$600 + $90 = $690 total pay
Now, we calculate all of our deductions.
Subtract social security to be
690 * (1-0.0625) = $646.875
Medicare Deduction
646.875 * 0.9855 = $637.50
Health Insurance
$637.50-83 = $554.50
401k Deduction
$554.50 * 0.97 = $537.87
5. You get a car loan for $13,000 to buy a used car. The car dealer who gives you the loan charges
8.4% interest, compounded monthly, for 4 years.
(a) What's the total amount you will have to pay back for this loan?
(b) What is your monthly payment for this loan?
Answer:
Total = $15,351.10
Monthly = $319.81
In an experiment, the probability that event A occurs is 7/8, the probability that event B occurs is 7/9, and the probability that events A and B both occur is ¾ . What is the probability that A occurs given that B occurs?
Question 5 options:
0.829
0.125
0.762
0.964
Answer:
Here is answer
Step-by-step explanation:
sorry if it is wrong
I think 0.762 in the answer
Which expression is equivalent to (x – 4)(2x2 – 3x + 7)?
A. -4x(2x2 – 3x + 7)
B. x(2x2 – 3x + 7) - 4
C. x(2x2 – 3x + 7) + 4(2x2 – 3x + 7)
D. x(2x2 – 3x + 7) - 4(2x2 – 3x + 7)
Answer:
A:
-4x(2x2 – 3x + 7)
Step-by-step explanation:
i need help with this
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
In the given figure, Angle y is equal to Angle adjacent to 52° and 90° by Vertical opposite angle pair
And since they for straight line, their Angle sum will be equal to 180°
that is :
[tex]\qquad \tt \dashrightarrow \:y + 52 + 90 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:y + 142 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:y = 180 - 142[/tex]
[tex]\qquad \tt \dashrightarrow \:y =38 \degree[/tex]
Answer:
y = 38°
Step-by-step explanation:
We know that the angles in a straight line are added up to 180°.
So,
90 + y + 52 = 180
142 + y = 180
y = 180 - 142
y = 38°
A rectangular sheet of metal measures 8 inches by 12 inches. The metal is worth $2.00 per square inch. How much is the sheet of metal worth?
Answer:
Step-by-step explanation:
Find the area of the sheet metal
Area = L * w
L = 12
w = 8
Area = 12 * 8
Area = 96 square inches.
Find the value of the sheet metal
1 square inch costs $2.00
96 square inches cost 2 * 96 = $192.00
PLEASE HELP 50 POINTS OLUS BRAINLY
Answer: 4n-7
Step-by-step explanation:
If the discriminant of a quadratic equation is equal to Negative 8, which statement describes the roots?
Answer:
There are two complex roots
Step-by-step explanation:
Answer:
A. There are two complex roots
Step-by-step explanation:
got it right on edg.2022 <3
1/3 + 1/3=
5/10-2/10=
=
4/5-2/5=
11+1=
=
Answer:
Step-by-step explanation:
1/3 + 1/3= 2/3
5/10-2/10=3/10
4/5-2/5=2/5
11+1=12
A battery for an underwater drone is in the shape of a square prism is designed to draw in
searates that is then used to produce energy. The base of the battery has soe lengths of 15 centimeters and the heght of the
bertery is 10 centimeters. Find the volume of the battery.
Answer:
2250 cm^3
Step-by-step explanation:
Volume of sq prism - Base x Base x Height
15 x 15 x 10 = 2250
Help with tthis photo pls T.T
Answer:
1. False
2. Not sure
3. True
Statement A
A = bh/2
34 = (10)h/2
68/10 = h
h = 6.8
FALSE The actual height of the triangle is the hypotenuse of the fake outer triangle. 6.8 is not used to calculate the area.
Statement B
A = (d1 + d2)/2
56 = (d1 + d2)/2
112 = d1 + d2
I have no idea for this one. There is no way that I know of to verify the area if I don't have at least one diagonal.
Statement C
A = (a + b)(h)/2
24 = (7 + 9)(3)/2
48 = (7 + 9)(3)
16 = 7 + 9
16 = 16
TRUE Area of the trapezoid = 24 in².
The difference between two positive integers is2. If the smaller is added to the square of the larger the sum is 40. Find the integers
Answer:
4 and 6
Step-by-step explanation:
first you must write your let statements
let x = smaller integer
let y = bigger integer
y - x = 2
x + y^2 = 40
then you use substition to find your anaswer
x = y - 2
y - 2 + y^2 = 40
y^2 + y - 42 = 0
then find the numbers that add up to 1 and multiply to -42
-6 and 7
y^2 + 7y - 6y - 42
y(y + 7) - 6(y + 7)
(y - 6)(y + 7)
set both sides equal to 0
y = 6, -7
y must be positive so it is 6
then plug y into one of the equations to get your answer
6 - x = 2
x = 4
your answer is 4 and 6
(x – 5)² + (y + 11)² = 49
a. What type of conic is this?
b.What is the center?
c. What is the radils?
d. What is the area of this shape?
Help pleaseee
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A
The equation is in the form of [tex](x-h)^2+(y-k)^2=r^2[/tex], which happens to be the equation of a circle
Part B
For the equation of the circle, its center is at [tex](h,k)\rightarrow(5,-11)[/tex]
Part C
Since [tex]r^2=49[/tex], then the radius of the circle is [tex]r=7[/tex]
Part D
The area of a circle is [tex]A=\pi r^2[/tex], so the area is [tex]49\pi[/tex] square units.
Find the slope of the line passing through the points (7, -3) and (3, -7)
Answer
The slope is (2,4) and (1,2)
Step-by-step explanation:
which combinations hold the same amount of liquid as an 8-pint bowl
This stem and leaf plot shows the height of several trees.
Height in Feet and Inches of Several Trees
5 || 8
6|| 2,3,7,8,9,9
7 || 0,1,4,5
8 ||6,7,8,9,10
What is the number of trees that are LESS than 7 feet tall?
Question Help: Message instructor
Submit Question
Answer:
7 trees.
Step-by-step explanation:
Number < 7 ft consists of the first 2 stems:
5 || 8 - 1 tree
6|| 2,3,7,8,9,9 - 6 trees
= 1 + 6
= 7.
The number of trees that are less than 7 trees as shown in the stem-and0leaf plot is: 7 trees.
What is a Stem-and-leaf Plot?In a stem-and-leaf plot, data points are represented in leaves and stems. For example, representing height of trees as 5 || 8, means a data point representing a height of a tree measuring 5 ft and 8 inches tall.
From the stem-and-leaf plot given, the data points that are below 7 feet are 7 in number, which range from 6 ft and 9 inches down to 5 ft and 8 inches.
The answer is: 7 trees.
Learn more about stem-and-leaf plot on:
https://brainly.com/question/8649311
#SPJ6
I need some help on these 3 questions :)
The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions
How to simplify the expressions?Factor of the polynomial
The polynomial is given as:
2x^3 + 6x^2 + 6x + 18
Factor out 2
2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)
Factorize
2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))
Factor out x + 3
2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)
Expand
2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)
Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18
The length of the pool
The given parameters are:
Area = 2x^3 - 29x + 12
Width = x + 4
The length is calculated as:
Length = Area/Width
This gives
Length = 2x^2 - 29x + 12/x + 4
Factorize the numerator
Length = (2x^2 - 8x + 3)(x + 4)/x + 4
Cancel out x + 4
Length = 2x^2 - 8x + 3
Hence, the length of the pool is 2x^2 - 8x + 3
Simplify the expression
The expression is given as:
(3s^2 - 2s + 1) [tex]\div[/tex] (s^2 - s + 2)
Evaluate the quotient
3 + (s - 5)/(s^2 - 5 + 2)
Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)
Read more about algebraic expressions at:
https://brainly.com/question/2164351