Answer:
number one is 22 number two is 16 number three is 32
Step-by-step explanation:
Using Cramer’s rule, what is the value of x in the solution to the system of linear equations below?
-1/2x+3y=-4
-x-y=-1
a -2
b -1
c 1/2
d 2
9514 1404 393
Answer:
d 2
Step-by-step explanation:
The system of equations can be written in augmented matrix form as ...
[tex]\displaystyle\left[\begin{array}{cc|c}-\frac{1}{2}&3&-4\\-1&-1&-1\end{array}\right][/tex]
The value of x found by Cramer's rule is the ratio of two determinants. The numerator is the coefficient matrix with the x-column replaced by the constant column. The denominator is the coefficient matrix.
[tex]\displaystyle x=\frac{\left|\begin{array}{cc}-4&3\\-1&-1\end{array}\right| }{\left|\begin{array}{cc}-\frac{1}{2}&3\\-1&-1\end{array}\right|}=\frac{(-4)(-1)-(-1)(3)}{(-\frac{1}{2})(-1)-(-1)(3)}=\frac{4+3}{\frac{1}{2}+3}\\\\\boxed{x=2}[/tex]
Using the Cramer's rule, the value of x in the system of equation is 2
How to solve for x?The system of equation is given as:
-1/2x + 3y = -4
-x - y = -1
Represent the above equation as a matrix
[tex]\left[\begin{array}{cc}-1/2&3\\-1&-1\end{array}\right] \left[\begin{array}{c}-4&-1\end{array}\right][/tex]
Start by calculating the determinant of the matrix
|A| = -1/2 * -1 - 3 * -1
Evaluate
|A| = 7/2
To calculate x, we replace the first column by the last.
So, we have:
[tex]\left[\begin{array}{cc}-4&3\\-1&-1\end{array}\right][/tex]
Next, calculate the determinant of the matrix
|x| = -4 * -1 - 3 * -1
|x| = 7
The value of x is then calculated as:
x = |x|/|A|
This gives
x = 7 ÷ 7/2
Evaluate
x = 2
Hence, the value of x is 2
Read more about Cramer’s rule at:
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Can someone please help me
Answer:
16.8 cm³
Step-by-step explanation:
Volume= length x width x height
length x width x height = Volume
4 x 1.4 x 3 = 16.8 cm³
Answer:
16.8 cm
Rounded: 17 cm
Step-by-step explanation:
Use the Volume formula: V= W*L*H (width x length x height)
V= 4*3*1.4
V= 16.8
When the points below are connected, they will form triangle ABC. Show and state whether this triangle has a right angle or not. (Hint: Use slope to prove that there is a 90 degree angle) Drawing a graph will not award you any marks. *
A(-6,3) B(0,5) C(2,-1)
PLS HURRY I NEED ALL THE STEPS TOO THANK YOU!!!!!
Answer:
See explanartions below
Step-by-step explanation:
Given the coordinates A(-6,3) B(0,5) C(2,-1)
We first need to get the slope of AB, BC and AC
For AB;
A(-6,3) B(0,5)
Mab = 5-3/0-(-6)
Mab = 2/6
Mab = 1/3
For BC;
B(0,5) C(2,-1)
Mbc = -1-5/2-0
Mbc = -6/2
Mc = -3
For AC:
A(-6,3) C(2,-1)
Mac = -1-3/2-(-6)
MAc = -4/8
Mac = -1/2
Taking the product of Mab and Mbc
Mab * Mbc = 1/3 + -3
Mab * Mbc = -1
Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees
A rectangle has an area of 588 square meters. The rectangle is 6 meters wide. How long is it?
Answer:
98 m long
Step-by-step explanation:
588/6 = 98 m long
HELPPP
Verify that csc theta cos theta tan theta=1
Answer:
See Explanation
Step-by-step explanation:
[tex] \csc \theta \: \cos \theta \: \tan \theta = 1 \\ \\ LHS = \csc \theta \: \cos \theta \: \tan \theta \: \\ \\ = \frac{1}{ \sin \theta} \: \times \cancel{ \cos \theta }\: \times \frac{ \sin \theta}{ \cancel{ \cos \theta }} \\ \\ = \frac{1}{ \cancel{ \sin \theta}} \: \times \cancel{ \sin \theta} \\ \\ = 1 \\ \\ = RHS \\ \\ hence \: proved[/tex]
Answer:
a) Only the first one is an identity.
Step-by-step explanation:
1). 8 cos O tan O csc O = 8 simplifies to:
cos O tan O csc O = 1
cos O * (sin O / cos O) * (1 /sin O)
= cos O sin O / cos O sin O
= 1
So it is identity.
2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O
= 13 sec^2 O - tan^2 O / cos^2 O
Now sec^2 O = 1 + tan^2 O, so we have:
(13( 1 + tan^2 O) - tan^2 O) / cos^2 O
= (12 tan^2 O + 13) / cos^2 O
This is not always = 2 so its not an identity.
Step-by-step explanation:
[tex]12 \sqrt{1245} [/tex]
Answer:
yeah
Step-by-step explanation:
13 Dec 2020 — Multiply the divisors to find the lcm of 6, 12 and 18 ... given ratio: 5: 2: 8[tex]\frac{1245}{5+2+8}[/tex][tex]\frac{1245}{15}[/tex][tex]83[/tex]mango trees: 83 × 5
A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container.
The question is incomplete. The complete question is :
A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?
Solution :
Given data :
Weight of the crate = 40 kg
Greatest weight that the container can load = 23000 kg
Weight of the other shipments on the container = 7800 kg
So the greatest number of 40 kg crates = c
Therefore, the weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container
7800 + (40 x c) ≤ 23000
7800 + 40c ≤ 23000
40c ≤ 23000 - 7800
40c ≤ 15200
c ≤ 380
Hence, the maximum number of 40 kg crate is 380.
A dolphin is swimming 3 feet below sea level and then jumps up 10 feet. What
is its height at the top of the jump?
Answer: 7 ft
Step-by-step explanation:
pt 4 help me -_-... i wasnt listening
Answer:
C. 264 cubic inches
Step-by-step explanation:
The formula for volume is Length times height times width. So you just multiply all of the numbers and you get your answer.
Write an equivalent expression for l + w + l +w
Please help am gonna get an F
Answer:
2w + 2L is the answer I think, but see the discussion below.
Step-by-step explanation:
There are three possibilities.
One
| = 1
so you get 1 + w + 1 + w = 2 + 2w
Two
l = L
l + w + l + w
So you get 2l + 2w. Since the l is so confusing, I normally use L for l. It's not very pretty but it does work
In this instance, you would get 2L + 2w
Three
| could be an absolute value signal. If that is the case, you should use abs(+w+)
Of the three, I think two is what you intended.
suppose that 10000 is invested at 5.5% compounded quarterly. Find the total investment after 4 years
Largest three-digit multiple of 2
Answer:
956
Step-by-step explanation:
Answer:
658
Step-by-step explanation:
Find the measures of the numbered angles in the kite.
Answer:
1 is 90
2 is 52
Step-by-step explanation:
1 is a right angle so its 90
for 2 angles in a triangle equal to 180
so 180-90-38 is equal to 52
How many solutions can Quadratic functions have?
Answer:
2 solutions
Step-by-step explanation: As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.
You bought a lawn mower for $80. For every lawn you cut, you plan to charge
customers $20. Which graph shows how many lawns you must cut to earn back the
money spent on the lawn mower?
A graph that shows the number of lawns you must cut to earn back the money spent on the lawn mower include the following: B. graph B (top right).
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Based on the information provided above, a linear equation that models the situation with respect to the rate of change is given by;
y = mx + c
y = 20x - 80
In conclusion, we can logically deduce that the slope is equal to $20 while the y-intercept is $80.
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50 POINTS brainlist too! Help
Answer: A). V = 1/3(3)(3)(5)
Step-by-step explanation:
• Use the volume of a pyramid formula: V = 1/3Bh, where h is height, V is volume, and B is the base area.
• The base area is length (l) • width (w), so use that to substitute B.
• Substitute the values to get the answer: A). V = 1/3(3)(3)(5)
No problem! I'm happy to help you!
Sam is making wheels for tricycle. He can make 400 wheels in 2 hours. how many hours will it take him to make 1,000 wheels.
Answer:
5 hours.
Step-by-step explanation:
800 wheels in 4 hours.
Half of 400 is 200.
Half one 2 is 1
So 1000 wheels. 5 hours.
Help me please it’s important !
Answer:
90
9
Step-by-step explanation:
For two independent events A and B, Pr(A or B) = 0.8 and Pr(B) = 0.3. From this, find Pr(A).
Answer:
please give me brainlist and follow
Step-by-step explanation:
Correct option is
A
5/7
As A and B are independent
0.8=P(A∪B)=P(A)+P(B)−P(A)P(B)
=0.3+P(B)−(0.3)P(B)
⇒0.5=(0.7)P(B)⇒7P(B)=5
As part of his science project, Steve recorded the number of eggs laid by several lizards from the local pet shop. The data Steve collected is provided below.
10, 7, 8, 8, 9, 10, 9, 10, 8, 11, 11, 9, 7,10, 9
In his report, Steve should use the (mean/median/IQR) as a measure of the center since his data is (Standard deviation/ normally distributed/ skewed).
Answer:Mean and Normally distributed
Step-by-step explanation:
pls help asap for brainlest
Answer:
the answer is C ik its right because i did this two days ago so im sure its C
Step-by-step explanation:
Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items.
Answer:
Stefanie bought 10 erasers.
Step-by-step explanation:
Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items.
Beind "x" be the number of erasers bought, you can express Stepanie's purchases by the equation:
1.75 + 0.25*x = 4.25
Solving:
0.25*x = 4.25 - 1.75
0.25*x = 2.5
x= 2.5÷ 0.25
x=10
Stefanie bought 10 erasers.
Answer:
10 erasers
Step-by-step explanation:
M mrs. Gallegos Burns 236 calories riding her bike each hour she wants to burn more than 590 calories riding her bike at the same rate which inequality represents all possible values for teeth and number of hours mrs. Vehicles must ride her bike to burn more than 590 calories
Answer: x > 2.5
Step-by-step explanation:
Since Mrs Gallegos burns 236 calories riding her bike each hour and she wants to burn more than 590 calories riding her bike at the same rate, the inequality that will represent the number of hours that she will use will be:
x > 590/236
x > 2.5
She must ride the bike for more than 2 1/2 hours to burn more than 590 calories.
How do I find GD? Giving Brainly
Answer:
cut it in half, your answer is 11
Answer:
GD: 3.5
Step-by-step explanation:
You said CE is 7, and GD is half the length of CE. So based off of your answer for CE, GD equals 3.5
SOIUTION.
2. Omar is on a diet and eats no more than
1,800 calories per day. If he has consumed
385 calories so far today, how many more
calories he can consume?
Inequality
Solution
HELP HELP WILL MARK BRAINLEST ANSWER FAST
5. Which could be the value of x in
the triangle below?
3x
19
6
A
10
С
6
B
9
D
4.
answer:
4
explanation:
3x-6=19
3x=19-6
3x=13
3x÷3=13÷3
x=4
Use the multiplier method to decrease £56 by 14%
You must show your working.
Answer:
56 times .86=48.16
Step-by-step explanation:
Which number is the best approximation for 5√2 + 2√3?
Answer:
The answer is 10,5
Step-by-step explanation:
can i have brainliest please
A baseball team has a goal of hitting more than 91 home runs this season. They average 7 home runs each game and have
already hit 35 home runs so far. How many more games, x, will it take the baseball team to reach its home run hitting goal if they
continue to average 7 home runs per game?
Select the number line that includes the fewest number of games the team can play and still meet their goal
Answer:
8.
Step-by-step explanation:
91-35=56
56/7=8
Answer:
It's D on study island
Step-by-step explanation:
If a rectangle is 19.6 m on one side and 24 m on the other side what would be the perimeter and area
Answer:
Perimeter = 87.2 m
Area = 470.4 square meters
Step-by-step explanation:
Formula to get the perimeter of a rectangle = 2(length + width)
= 2(19.6 + 24)
= 2(43.6)
= 87.2 m
Similarly by using formula to get the area of the rectangle,
Area = Length × Width
= 19.6 × 24
= 470.4 m²