Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
1/100 = ?/? x 1/1000
Answer:
10 or 10/1
Step-by-step explanation:
1/1000 * 10= 0.01 = 1/100
I need help please and ty 2 questions in math for a lot of points
Answer: ok we will help
Step-by-step explanation:
he need our help
[tex]\sf \sqrt{12} \times \sqrt{12}[/tex]
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]\sqrt{12} \times\sqrt{12}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0[/tex]
[tex]\sqrt{12}\sqrt{12}=12[/tex]
[tex]=12[/tex]
The value of [tex]\sqrt{12} * \sqrt{12}[/tex] is equal to 12
To solve this problem, we have to convert the surds to radicals and then use the law of indices on this.
[tex]\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}[/tex]
Addition Law of IndicesThis law is given as
[tex]a^m+a^n = a^(^m^+^n^)[/tex]
let's substitute the values in this question.
[tex]12^\frac{1}{2}*12^\frac{1}{2}[/tex]
Let's apply the law and solve the radical
[tex]12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)\\[/tex]
Solve the fractions
[tex]\frac{1}{2}+\frac{1}{2}=1[/tex]
substitute the values and solve
[tex]12^\frac{1}{1}=12[/tex]
from the calculations above, the value of the radical is 12.
Learn more on laws of indices here;
https://brainly.com/question/10339517
-10 + = -3 I need help
Answer:
the answer is
7
Step-by-step explanation:
why is it 7 it is cause -10+7=3
Answer:
7
the answer is 7 because -10+7=-3
please help me!
ty :)
Answer:
x intercept= (-3,0) y intercept= (0,3)
Step-by-step explanation:
for x intercepts, y should equal zero
for y intercepts, x should equal zero
x intercept: -x+0=3
-x=3
x=-3 (x,y)--> (-3,0)
y intercept: 0+y=3
y=3 (x,y)--> (0,3)
Answer:
Answer:x - intercept (0, -3)
3)y - intercept (3, 0)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Lisa has a certain amount of money. She spent $39 and has 3/4 of the original amount left. How much money did she have originally
16. Multiply the polynomials: (x + 3)(x2 – 5x + 12)
The student council is ordering
T-Shirts from a website. The T-shirts
cost $7 each and there is a shipping
fee of $15 for any amount ordered.
The student council wants to suspend
less than $100 on the T-shirts. Write
an inequality that can be used to find
X, the number of shirts the student
council can order?
Select all relations that represent function
Answer: All of the them except for the last relation.
Step-by-step explanation: For a relation to be a function, it can have y-values repeat but not x-values. In the last relation, you have (6,-6,), (-3,12), (6,-1), (-8,13). Notice that the x-value of 6 repeats 2 times in this relation. You can graph this relation and use the vertical line test and you will notice that it will touch the graph more than one time. Therefore, relations 1-4 represents functions and relation 5 does not.
Hope this explanation helps.
Two weeks ago,a bookstore sold 120 books Last,week,it sold 138 books.find the percent of increase in sales?
Answer:
15%
Step-by-step explanation:
[tex]\frac{138}{120}[/tex]×100=
1.15
115%
Increase in 15%
1.5 cm 1 30 cm 15 cm 20 cm Calculate the volume of the box using the external measurements.
Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and b Not-equals 1? log Subscript x Baseline x StartFraction log Subscript b Baseline x Over log Subscript b Baseline a EndFraction StartFraction log Subscript b Baseline a Over log Subscript b Baseline x EndFraction StartFraction log Subscript a Baseline b Over log Subscript x Baseline b EndFraction StartFraction log Subscript a Baseline x Over log Subscript b Baseline x EndFraction.
The expression that can be used to approximate the expression below is[tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Given the logarithmic function expressed as [tex]log_a x[/tex], we need the log expression that is equivalent to the given expression.To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;[tex]log_a x = \frac{log_{10}a}{log_{10}x}[/tex]
This is similar to the option c where the base of "b" was used as [tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Learn more on law of logarithms here: https://brainly.com/question/11587706
Answer: C
Step-by-step explanation:
If you don't want to read it all
Hello, I really need help with this question. It is talking about true or false statement referring to a graph. Please tell me which statements are true or false.
Find the amount paid for the loan. $4,800 at 9.9% for 4 years
Answer:
the amount paid for the loan would be $6700.80
Find the perimeter of the shape below:
Answer:
8m
Step-by-step explanation:
I need is the answer of please
thank you
Answer:
39.2m
Step-by-step explanation:
The ratio would be 14/20 which is 0.7. So, you would take 56 and multipy it by 0.7 to get 39.2.
Answer:
39.2
Step-by-step explanation:
ok so you are given 2 triangles that are proportional
the 20 m side and the 56 m side go together
so this leaves 14 and L
so the ration is 2.8
multiply 14 by 2.8 and you get 39.2
Name an angle adjacent to FGI
JGI
HGJ
DGE
HGE
Answer: JGI
Step-by-step explanation:
An adjacent angle are angles that share a vertex and side. FGI and JGI share the vertex G and the segment GI
Have a good day!
Help Me On These 3 Please
Answer:
see explanation
Step-by-step explanation:
(1)
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{6}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{4}{6}[/tex] ) ≈ 41.8° ( to the nearest tenth )
(2)
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{29}{14}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{29}{14}[/tex] ) ≈ 64.2° ( to the nearest tenth )
(3)
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{25}{40}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{25}{40}[/tex] ) ≈ 51.3° ( to the nearest tenth )
–7(2.3y − 2) simplified
Answer:
-16.1y + 14
Step-by-step explanation:
–7(2.3y − 2)
=> -16.1y + 14
Therefore, -16.1y + 14 is the simplified form.
Hoped this helped
[tex]GeniusUser[/tex]
Answer:
53
Step-by-step explanation:
sorry if im incorrect
Help. Match each equation with its corresponding graph.
Answer:
y = [tex]\frac{3}{2}[/tex]x-3 ; Graph C
2x + 6y = -6 ; Graph A
y = [tex]\frac{1}{2}[/tex]x + 2; Graph B
Use the picture below to answer the question. The measure of angle 3 is 50 degrees. What is the measure of angle 6?
Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile
Answer:
The second one. 30 minutes ÷ 6 miles.
Step-by-step explanation:
You want to find how long it took Jamaal to run one mile.
30 minutes ÷ 6 miles = 5 minutes.
So Jamaal can run one mile in 5 minutes.
Option B, 30mins/6miles
A 14-oz iced tea at a certain restaurant has 140 calories. How many calories are there in a 22-oz iced tea?
Answer:
220 calories
Step-by-step explanation:
Cross multiply and then divide:
[tex]\frac{14}{22}= \frac{140}{x}[/tex]
140 x 22 = 3080
3080 / 14 = 220
please help me i’m being timed!!!
Answer:
B
Step-by-step explanation:
The heaviest pig on the farm weighs 100 pounds
I really need help
Help please (40 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent
Answer:
See answer below
Step-by-step explanation:
R3: If parallel lines, then alternate interior angles is congruent
S4: AC ≅ AC
R5: ASA
Can someone please take the time out of their day and help me with this
Bob is buying groceries at the store. The price before tax is $57, and after tax the total is $62.91. What is the sales tax applied to the groceries? Round to the nearest hundredth.
Hey Guys!
Try to solve this maths question.....
[tex]a + b + c = 4 \\ {a}^{2} + {b}^{2} + {c}^{2} = 10 \\ {a}^{3} + {b}^{3} + {c}^{3} = 22 \\ {a}^{4} + {b}^{4} + {c}^{4} = ? [/tex]
Don't copy from web and Don't spam
Need answer as well as explanation
Thank You!
Use the multinomial theorem to compute some polynomial expansions:
(a + b + c)² = a² + b² + c² + 2 (ab + ac + bc)
(a + b + c)³ = a³ + b³ + c³
… … … … … … + 3 (a²b + a²c + ab² + b²c + ac² + bc²)
… … … … … … + 6 abc
(a + b + c)⁴ = a⁴ + b⁴ + c⁴
… … … … … … + 4 (a³b + a³c + ab³ + b³c + ac³ + bc³)
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 12 (a²bc + ab²c + abc²)
Now, given that
a + b + c = 4
a² + b² + c² = 10
it follows that
ab + ac + bc = (4² - 10)/2 = 3
We use this result to simplify the extra terms in the 3rd-degree expansion.
a²b + a²c + ab² + b²c + ac² + bc²
= a (ab + ac) + b (ab + bc) + c (ac + bc)
= a (ab + ac + bc) + b (ab + ac + bc) + c (ab + ac + bc) - 3abc
… … I underline the terms that are added and subtracted … …
= (a + b + c) (ab + ac + bc) - 3abc
= 4 • 3 - 3abc
= 12 - 3abc
Given that
a³ + b³ + c³ = 22
this tells us that
4³ = 22 + 3 (12 - 3abc) + 6abc
4³ = 58 - 3abc
and so
abc = (4³ - 58)/(-3) = -2
from which it follows that
a²b + a²c + ab² + b²c + ac² + bc² = 12 - 3 • (-2) = 18
Now we similarly simplify the extra terms in the 4th-degree expansion.
a³b + a³c + ab³ + b³c + ac³ + bc³
= a² (ab + ac) + b² (ab + bc) + c² (ac + bc)
= a² (ab + ac + bc) + b² (ab + ac + bc) + c² (ab + ac + bc) - a²bc - ab²c - abc²
= (a² + b² + c²) (ab + ac + bc) - (a²bc + ab²c + abc²)
= 10 • 3 - (a²bc + ab²c + abc²)
which means
4⁴ = a⁴ + b⁴ + c⁴
… … … … … … + 4 (30 - a²bc - ab²c - abc²)
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 12 (a²bc + ab²c + abc²)
reduces to
136 = a⁴ + b⁴ + c⁴
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 8 (a²bc + ab²c + abc²)
Now, we know a + b + c = 4 and abc = -2, so we have
a²bc + ab²c + abc² = abc (a + b + c) = -2 • 4 = -8
and so
136 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²) + 8 • (-8)
200 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²)
Finally, we know that ab + ac + bc = 3. Squaring this gives
(ab + ac + bc)² = 3²
a²b² + a²c² + b²c² + 2 (a²bc + ab²c + abc²) = 9
but we also know that a²bc + ab²c + abc² = -8, so
a²b² + a²c² + b²c² + 2 • (-8) = 9
a²b² + a²c² + b²c² = 25
Therefore, we end up with
200 = a⁴ + b⁴ + c⁴ + 6 • 25
⇒ [[[ a⁴ + b⁴ + c⁴ = 50 ]]
Given the graph below. What is the axis of symmetry (vertex)of the parabola?
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
What is the length of side b?
Thank u