Answer:
11
Step-by-step explanation:
y^2 - x^2
y = 6, x = 5
6^2 - 5^2
When using exponets we multiply a number by itself as many times as the exponet says, so in this case we multiply 6 x 6 and 5 x 5
6 x 6 = 36 5 x 5 = 25
36 - 25 = 11
Hope this helps!
When Lisa first planted the cherry tree in her yard, it was 30 feet tall. Now it is 80% taller.
How tall is the tree now?
As a wife, Mrs. Mallard was not free. That's why, when she heard her husband had died, she was not sad. She thought of all the hours that would now be hers alone. She no longer had to obey anyone -- she was finally free.
(NEED EVIDENCE, NOT ONLY ANSWER)
Lily has a rectangular shaped shawl that is 75 inches wide and 18 inches long. What is the area of the shawl in square feet?
(3+1)(6x9)-23
Using Pemdas explain and answer this question
Answer:
193
Step-by-step explanation:
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
3+1 can be simplified to 4
6 times 9 is 54
(4)(54)-23
216-23
193
If 32 superscript 2 c baseline = 8 superscript c 7, what is the value of c?
If 32 superscript 2 c baseline = 8 superscript c 7 is the given expression then the value of c is 3.
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
The given equation is 32 superscript 2 c baseline = 8 superscript c 7
[tex]32^{2c} = 8^{c+7}[/tex]
Write the expression in exponents form as
[tex](2^5)^{2c} = (2^3)^{c+7}[/tex]
[tex](2)^{10c} = (2)^{3c+21}[/tex]
Comparing the base,
10c = 3c + 21
10c - 3c = 21
7c = 21
c = 21/ 7
c = 3
Therefore, the value of c is 3.
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What is the domain of the function h(x) = 4 log2 (x - 6) +1?
The domain of the function h(x) = 4·㏒₂(x - 6) + 1, using interval notation is (6, ∞)
What is the domain of a function?The domain of a function is the set of the possible input values of the function, which is denoted as dom(f).
The domain of the function f: X → Y, is defined as the values of X
The given function is; h(x) = 4·㏒₂(x - 6) + 1
The domain of a function is the set of the possible input (x-values) of the function.
The values which the function ㏒₂(x - 6) can have as input, which is the domain of the function, ㏒₂(x - 6) is; 0 < x - 6 < ∞
Which gives: 6 < x < ∞
The domain of the function, h(x) = 4·㏒₂(x - 6) + 1 is 6 < x < ∞, which using interval notation is (6, ∞)
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Given the points (0, 5), (1, 7), and (-2, -5), find the equation of the quadratic polynomial that contains
these points. Show your work.
Answer:
y=-x²+3x+5.
Step-by-step explanation:
1) the common view of the quadratic function is y=ax²+bx+c, where a, b and c - numbers;
2) according to the equation above, it needed to substitute the given coordinates and to make up the system of the equations:
point (0;5): c=5;
poit(1;7): a+b+5=7 ('c' is already known, 5);
point(-2;-5): 4a-2b+5=-5 (c=5);
3) to solve the system:
[tex]\left \{ {{a+b+5=7} \atop {4a-2b+5=-5}} \right. \ = > \ \left \{ {{a=-1} \atop {b=3}} \right.[/tex]
4) finally, if a=-1, b=3 and c=5, then
y=-x²+3x+5.
big pts. no links pls help with explanation
AND BRAINLEST
James opens 2 different savings accounts and deposits $12,000 into each one.
Account I earns 2.2% interest compounded annually.
Account II earns 2.2% annual simple interest.
There are no additional deposits or withdrawals.
What is the sum of the total balances of these accounts at the end of 7 years?
Question 7 options:
$27,168.00
$27,696.00
$27,949.08
$27,822.53
Answer:
The answer to this is D $27,822.53
Step-by-step explanation:
Answer:
27,822.53
Step-by-step explanation:
Triangle EFG has an area of 70 m².
EF: FG= 1:2 and angle EFG = 40°.
(a) Calculate EF.
The measure of length EF is the triangle EFG has an area of 70 m² is 7.38m
How to calculate the area of a triangle?A triangle is a 2-dimensional shape with 3 sides and angles. The formula for calculating the area of a triangle is expressed as:
A = (EF)(FG) sin theta
If the ratio of EF to FG is 1:2, then FG = 2EF
A = (EF)(2EF) sin theta
70 = 2EF²sin40
70 = 1.2856EF²
EF² = 54.474
EF = 7.38m
Hence the measure of length EF is the triangle EFG has an area of 70 m² is 7.38m
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Charles bought 11 bottles of juice for $22.33. What is the unit rate?
A triangle has one side that measures 9 units, another side that measures x, and a third side that measures 2 units more than x. The perimeter is 29 units.
Which equation would we use to find the value of x?
Answer:
9+x+(x+2)=29
Step-by-step explanation:
9+x+(x+2)=29
What value of x is in the solution set of 9(2x 1) < 9x – 18? –4 –3 –2 –1
Inequalities help us to compare two unequal expressions. The value of x which is the solution set of 9(2x+1)<9x–18 is -4.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
To know which value will satisfy the inequality we need to substitute each of the values into the inequality,
A) x=-4
[tex]9(2x+1) < (9x-18)\\\\9[2(-4)+1] < [9(-4)-18]\\\\9(-8+1) < (-36-18)\\\\9(-7) < -54\\\\-63 < -54[/tex]
Since the inequality is satisfied this is the solution set of the inequality.
Thus, the value of x which is the solution set of 9(2x+1)<9x–18 is -4.
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Cos²(90° -X).tan(180°-X).cos(180°+X)/sin(180°-X)
Recall some identities:
tan(x) = sin(x) / cos(x)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
cos(x - y) = cos(x) cos(y) + sin(x) sin(y)
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
This means we have
• cos²(90° - x) = [cos(90°) cos(x) + sin(90°) sin(x)]²
… = sin²(x)
• tan(180° - x) = sin(180° - x) / cos(180° - x)
… = [sin(180°) cos(x) - cos(180°) sin(x)] / [cos(180°) cos(x) + sin(180°) sin(x)]
… = sin(x) / (-cos(x))
… = -tan(x)
(and we also get sin(180° - x) = sin(x))
• cos(180° + x) = cos(180°) cos(x) - sin(180°) sin(x)
… = -cos(x)
So, the given expression reduces to
sin²(x) (-tan(x)) (-cos(x)) / sin(x) = sin²(x)
since tan(x) and cos(x)/sin(x) = 1/tan(x) will cancel.
if Tanya 's class starts at 11:50 but she gets off work at 12:10 how many minutes does Tanya miss of class?
Answer:
20 minutes
Step-by-step explanation:
Answer:
Tanya misses the class for 20 minutes
Step-by-step explanation:
11:50 to 12: 00 ⇒ 10 minutes
12:00 to 12: 10 ⇒ 10 minutes
20 minutes
A restaurant used 231 eggs last week. Of these, 46 were brown. The remaining eggs were white. Which equation can be used to solve for w, the number of white eggs used last week?
w = 231 - 46
hope it helps...!!
Answer:
185
Step-by-step explanation:
[tex]x + 46 = 231 \\ x = 231 - 46 \\ x = 185[/tex]
Katrina's ski boots cost 8% more than
her skis. Her ski boots cost $162. Which
equation can be used to find the cost, c,
of Katrina's skis?
I need pls!!
I am not sure about my answer.But I guess it may be correct.Hope the picture will help you..
help solve for number 5 please
:)
(x+2)/3 = (3x-2)/6
6(x+2) = 3(3x-2)
6x+12 = 9x-6
12+6 = 9x-6x
18 = 3x
x = 6
Lola and her school had a fun run, she donated 300 dollars, and the rest of her classmates donated 230 dollars. How much would they earn altogether? (She has 17 classmates)
If the classmates donate $230 each, then the answer would be:
( 230 × 17 ) + 300 = 4,210
If they donated 230 altogether, then the answer would be:
300 + 230 = 530
Please help guys much love
Step-by-step explanation:
1) Ans 3
2) Ans 6
3) Ans 4
4) Ans 1/5
5) Ans 1/23
Suppose a is between 4 and 5, and b is between 2 and 4. Find all possible values of the expression a/b
first im guessing its 4 and 1/2
and the second is 3
Find the missing angle x
Answer:
144° or 36°- depends on what you are asking.
Step-by-step explanation:
Since there are 190° in a straight line and there is 36° on one side. I then substracted 190-36 to get 144°.
If you are asking for the missing side of the triangle then the answer is 36° since this triangle is an equilateral triangle.
211,207,203,...
Find the 38th term.
Answer:
63
Step-by-step explanation:
Using the formula attached, we can setup the equation:
[tex]211 + (38 - 1) - 4[/tex]
Then using a calculator you can solve
The required 38th term of the given arithmetic sequence is 63.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
here,
Given sequence,
211,207,203,...
First term, a = 211
Common difference, d = 207 - 211 = -4
Now.
Nth term of an arithmetic progression,
Nth term = a + (n -1)d
Nth term of given sequence
Nth term = 211 - (n - 1)4
Now, put n = 38
38th term = 211 - (38 - 1)4
38th term = 211 - [37](4)
38th term = 211 - 148 = 63
Thus, the required 38th term of the given arithmetic sequence is 63.
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X-
On a piece of paper, graph y+4<3x – 1/2x - 2. Then determine which answer
choice matches the graph you drew.
A
B
C
D
6
-10
5
(4.-4)
(4.-4)
(4.-4)
(4.-4)
(0.-6)
(0.-6)
6.
(
0-6)
0.-6)
O A. Graph A
B. Graph B
C. Graph
D. Graph D
Answer:
c
[tex]6.46 \geqslant \frac{ { {x \sqrt[ |)x \frac{ {?}^{?} }{?} | ]{?} }^{?} }^{2} }{?} [/tex]
d
The graph of the inequality is attached to the solution.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Given is an inequality, y+4 < 3x - 1/2x - 2, we need to graph it,
This graph represents inequality y+4 < 3x - 1/2x - 2,
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What is the simplified expression for:
i just need the answer and ill do the labels
By the vertical angle theorem, the two angles '5y + 12' and '82' are equal
⇒ [tex]5y + 12 = 82[/tex]
[tex]5y = 70\\y = 14[/tex]
Thus x = 14
Hope that helps!
p.s. Definition of Vertical Angle Theorem: angles that are opposite each other and formed by two intersecting straight lines, are congruent
p.s. Diagram for what is Vertical Angle Theorem:
Answer:
y = 14
Step-by-step explanation:
82° = (5y + 12)°
5y = 82 - 12
5y = 70
y = 14
{calculate carefully{
A circle has a circumference of 26 millimeters. What is the circle's
radius? Use 3.14 for pi and round your answer to the nearest tenth
PLS HELP!!! No links pls and ty <333
Answer:
22.5
Step-by-step explanation:
Radius = Circumference/(2*PI)
−2x+3y=0
2x+2y=20
answer options
no solution
infinitely many soultions
(6,-4)
(6,4)
Answer:
(6,4)
Step-by-step explanation:
First we must cross out the -2x and 2x since they're both opposites of each other and thus they cancel each other out.
Now we have:
3y = 0
2y = 20
So next we add the 3 and 2 to get 5y, and then we add 20 and 0 to get 20.
So now we have:
5y = 20
And so we'll simply divide by 5 on both sides, and the answer is y = 4.
Now normally we would plug 4 back in to one of the equations to solve for x, but since only one of the answer choices has 4 in the y position, we can already tell that (6,4) is the answer.
Hope this helps you. Sorry if it doesn't though.
When the research hypothesis predicts the direction of a relationship, the test is ______. a. direct b. two-tailed c. one-tailed d. positive
Answer:
c. one-tailed
Step-by-step explanation:
i think its this because i say so now trust :)
Simplify this as much as you can
Answer:
-276^10 c + 156^6 c ^6 - 21b^4 c ^6
Step-by-step explanation:
Need help 10 points
Answer:
have you missed out any option cause i doeant match with any of your options
PLEASE HELP this is a missing assignment i will mark brainliest
The polynomial a(x) = -18x² - 6x + 12 is the dividend of the polynomial division
The quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
How to divide the polynomial?The polynomial functions are given as:
a(x) = -18x² - 6x + 12
b(x) = 3x³ + 9x - 1
The quotient equation is given as:
a(x)/b(x) = q(x) + r(x)/b(x)
Since the degree of the dividend a(x) is less than the degree of the divisor b(x), then it means that the value of the quotient q(x) is:
q(x) = 0
And the remainder r(x) is:
r(x) = a(x)
Substitute known values
r(x) = -18x² - 6x + 12
Hence, the quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
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