Which matrix represents the system of equations shown below?
9x + 5y = -16
2x - 10y = - 48
Answer:
Step-by-step explanation:
The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:
[tex]\left[\begin{array}{ccc}9&5\\2&-10\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}-16\\-48\\\end{array}\right][/tex]
When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.
CAN SOMEONE HELP ME PLEASE
Answer:
the answer is -4
Step-by-step explanation:
you take the points (0,6) and (4,-10), then you subtract -10 by 6 and you get -16. then you take 4 subtracted by 0 and you get 4. -16 divided by 4 is -4.
Evaluate the expression: 4x - 2y if x is 7 and y is -3
Plug in the values of the variables:-
[tex]\sf{4x-2y}[/tex]
[tex]\sf{4(7)-2(-3)}[/tex]
[tex]\sf{28+6}[/tex]
[tex]\sf{34}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
34
Step-by-step explanation:
We have to find the value of the expression ( 4x - 2y ).
Also, given that,
x = 7
y = -3
So, to find the value of the given expression, you have to replace x and y with 7 & -3 respectively.
Let us solve it now.
4x - 2y
4 × 7 - 2 × -3
28 + 6
34
IM STUCK CAN SOMEBODY SOLVE EQUATION
Suppose that a weight loss company advertises that people using its program lose an average of 8 pounds the first month, and that the Federal Trade Commission is gathering evidence to see if this advertising claim is inaccurate. Suppose that a 99% confidence interval for the average weight loss during the first month in the program, in pounds, is (7.92, 7.98), based on a large sample of patrons.
a. How strong is the statistical significance in the claim that on average people in fact lose less than 8 pounds?
Answer:
(a) Since the upper limit of the 99% confidence interval is less than
Step-by-step explanation:
We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
The null hypothesis is that the average weight loss during the first month is equal to 8 pounds, and the alternative hypothesis is that the average weight loss is less than 8 pounds.
Since the 99% confidence interval does not include the value of 8, we can reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
Thus,
We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
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Salim receives a gift card for a bookstore. He does not know the value of the gift card.
Salim buys a book for $7.50. Then he has $12.50 remaining on the gift card.
• What is the unknown in this situation?
*) the price of the book
the amount of money remaining on the gift card
the amount of money on the gift card when Salim receives it
Answer:
1: The amount on the card, 2:$7.50, 3: $12.50, 4: $20
Step-by-step explanation:
Please help me with this
Answer:
8. 133°
9. 124°
Step-by-step explanation:
Because all triangles add up to 180°, the sum of all interior angle will add up to 180°.
8) 94 + 39 = 133
180 - 133 = 47
47° is the measure of the unknown interior angle, but we need the exterior and all straight lines are 180° angles, so we need to subtract.
180 - 47 = 133°
9)
81 + 43 = 124
180 - 124 = 56 (interior angle)
180 - 56 = 124° (exterior angle)
GIVING BRAINLIEST
What is the measure of angle x?
40 degrees
80 degrees
130 degrees
140 degrees
Answer:
140 degrees
Step-by-step explanation:
Since alternate angles are equal, corresponding angles are equal, a pair of interior angles on the same side of the transversal are supplementary, and angles on a straight line add up to 180 degrees, 40 + x must equal 180 degrees.
To find angle x in this instance, you would need to subtract 40 degrees from 180 degrees.
[tex]180-40=140[/tex]
Therefore, the answer is 140 degrees.
Answer:
my test said 140
Step-by-step explanation:
Find the exact value of tan(-pi/12)
Tan(-pi/12) = sqrt(7-4sqrt(3)) = -2 + sqrt(3)
answer: -2 + sqrt(3)
please answer with steps
Answer:
9 litres
Step-by-step explanation:
the volume (V) of the tank is calculated as
V = lbh ( l is length, b is breadth , h is height )
here l = 60 cm, b = 15 cm, h = 10 cm , then
V = 60 × 15 × 10 = 9000 cm³
using the conversion 1 litre = 1000 cm³ , then
V = 9000 ÷ 1000 = 9 litres
Answer:
9 liters
Step-by-step explanation:
It is often convenient to make use of the fact that 1 liter is 1000 cm³, or 1 dm³, where 1 dm = 10 cm. Expressing the tank dimensions in decimeters, we see they are ...
L = 6 dm, W = 1.5 dm, H = 1.0 dm
Then the volume is ...
V = LWH
V = (6 dm)(1.5 dm)(1.0 dm) = 9.0 dm³ = 9 L
9 liters of water are needed to fill the empty tank.
what is the slope of a line (0,2) (-1,-3)
Answer:
The slope of the line is 5.
Step-by-step explanation:
You need to use the slope formula.
Slope Formula: y2 - y1 / x2 - x1
Your coordinates: (0,2) and (-1, -3)
Do -3 - 2 / -1 - 0
This is because the -3 is your y2 and the 2 is your y1
**Same goes with x but different numbers since it is the x coordinates.**
Now, do -3 - 2 first.
The negatives turn into a positive meaning you have to add the two.
But the bigger number 3 is negative so, your answer should contain a negative.
-3 -2 = -5
Do -1 - 0
This should be an addition problem but contain a negative answer.
-1 -0 = -1
-5/-1 as final.
The negatives cancel, and 5/1 is 5
Your slope is 5.
Answer:
The slope of the line is 5
Step-by-step explanation:
Slope(m) formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
y₂ = -3
y₁ = 2
x₂ = -1
x₁ = 0
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-2}{-1-0} \\\\m=\frac{-5}{-1}\\\\m=5[/tex]
Hope this helps!
The area of an isosoles trapezoid is 45cm squared, and it's height is 5cm. Find the perimeter if the length of a leg is 2/3 of the sum of the bases.
Answer:
Perimeter = 42 cm.
Step-by-step explanation:
The 2 legs are equal in length as it is an isosceles trapezoid.
Area of trapezoid = (h/2)(a + b) where a and b are the parallel bases.
So
(5/2) (a + b) = 45
a + b = 45 * 2/5 = 18 cm.
We are given that the length of a leg (L) is 2/3 * sum of the bases, so:
L = 2/3(a + b)
= 2/3 * 18
= 12 cm.
The perimeter = a + b + 2L
= 18 * 2*12
= 42 cm.
evaluate the equation: F( 2 ) =
Answer:
3
Step-by-step explanation:
it's basically asking what is the y value that corresponded to x = 2
that value is 3.
You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much
will be left after 120 years?
grams
The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years, is 540 grams.
What is half-life?This can be defined as the time taken for half the amount of a radioactive substance to decay.
To calculate the amount of cesium left after 120 years, we use the formua below.
Formula:
R' = R/([tex]2^{T/t}[/tex])............. Equation 1Where:
R = Original amount of CesiumR' = New amount of cesiumT = Total timet = Half-lifeFrom the question,
Given:
R = 8640T = 120 yearst = 30 yearsSubstitute these values into equation 1
R' = 8640/([tex]2^{120/30}[/tex])R' = 8640/[tex]2^{4}[/tex]R' = 8640/16R' = 540 grams.Hence, The mass of cesium left afer 120 years is 540 grams.
Learn more about half-life here: https://brainly.com/question/25750315
Can someone please answer this for me i will mark you the brainliest
A cylinder has a radius of 6 m and a height of 11 m
what is the approximate area of the cylinder
A: 527.5 m2
B: 640.6 m2
C: 414.5 m2
D: 1243.4 m2.
Answer:
B!
Step-by-step explanation:
2 times pie times 6 times 6 plus 11 equals 640.9
Un numero disminuido en 18 es igual a uno. Cual es el nume
Answer:
19
Step-by-step explanation:
18 + 1 = 19
Jim can't remember the last digit of his best friend's phone number. He plans to just dial the number and guess the last digit. What's the probability that he'll dial the correct number in the first 2 tries?
a) 1/10
b) 1/45
c) 17/10
d) 1/5
e) 2/5
Answer:
D.
Step-by-step explanation:
1) the required probability can be calculated as sum of two probabilities:
P=p1+p2, where p1 - when the 1st attempt is correct, p2 - when the 2d attempt is correct;
2) p1=1/10; p2=1/9, then the required probability:
P=1/10 + 1/9 ≈ 1/5.
Someone please help me with this
Answer:
A
Step-by-step explanation:
writting only because answer need 20 words
What’s the answer????
Answer:
i think its c
Step-by-step explanation:
sorry if im worng
Answer i believe its a or d
Step-by-step explanation:
im not to sure but i did try to do the math on it so.
The possible outcomes for tossing a coin four times are shown below.
If a coin is tossed four times, what is the probability of getting exactly three heads?
A. 1/3
B. 1/2
C. 1/4
D. 1/8
Step-by-step explanation:
I think that B IS CORRECT BECAUSE EVERY TIME you toss the coin there is half chance of getting tail and half of head
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
The graph of the equation x ^ 2 + y ^ 2 - 16x + 6y + 14 = 0 is a circle. An equivalent form of this equation is (x - 8) ^ 2 + (y + 3) ^ 2 = M
What is the value of M?
Answer:
author link
ghanami
Ace
2.9K answers
12.1M people helped
hello :
note :
an equation of the circle Center at the w(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : x²+y²-16x+6y+53=0
(x²-16x) +( y²+6y ) +53 = 0
(x² -2(8)x +8² - 8²) +(y² +2(3)x -3²+3² ) +53=0
(x² -2(8)x +8²) - 8² +(y² +2(3)x +3²)-3² +53=0
(x-8)² +( y+3)² = 20
the center is : w(8,-3) and ridus : r = √20
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
un camion se encuentra del lado izquierdo del cero del sistema de referencia, es decir, desde una posicion negativa de -2 km, como el conductor va buscando pasaje se mueve muy lentamente a una velocidad de 10 km/h? escribe la ecuacion horaria.
Veremos que la ecuación que describe el movimiento del camión es:
f(t) = -2km + (10km/h)*t
¿Como encontrar la ecuación de movimiento del camión?Primero debemos recordar la relación:
distancia = velocidad*tiempo.
Entonces, podemos escribir la pocición del camión como:
f(t) = pocición inicial + velocidad*t
Donde t es el tiempo en horas.
Sabemos que:
posición inicial = -2kmvelocidad = 10km/hReemplazando eso obtenemos:
f(t) = -2km + (10km/h)*t
Esta es la ecuación de movimiento del camión.
Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:
https://brainly.com/question/19365526
In ΔABC, m∠A=4x+7 and m∠B=5x−3. What is the m∠A?
Answer:
Angle A = 47⁰
Step-by-step explanation:
Angle A = Angle B { equal sides have equal angles. }
so,
4x + 7 = 5x - 3
7 + 3 = 5x - 4x
10 = x
so Angle A = 4x + 7 = 4(10) + 7 = 40 + 7 = 47⁰
what is the solution to 2x + 5 = 6x – 5? Show your work.
What is the slope of a line perpendicular to the line with equation y = 4x + 5?
4
−14
−4
−5
Answer:
Slope= 4
Step-by-step explanation:
y=mx+b
4x
4= slope
Evaluate −6a^3+8a^2+8a+1, when a=5.
Answer:
-509
Step-by-step explanation:
1. Subsitute 5 for a in the expression. -6(5)^3+8(5)^2+8(5)+1
2. -6(125)+8(25)+40+1
3. -750+200+41
4. -509
Rewrite 4 x 6 2/3 as the product of a unit fraction and a whole number
Answer:
The whole number : 3
Fraction : 2/8
I'm pretty sure this is correct
PLEQSE HELP ME WITH THIS!!
The perimeter of a rectangular painting is 298 centimeters. If the length of the painting is 94 centimeters, what is its width?
Step-by-step explanation:
Length = 94 cm
breadth = ?
Perimeter = 298 cm
Now..............
Perimeter = 2 ( l + b )
298cm = 2 ( 94 cm + b )
298 / 2 = 94 + b
149 cm = 94 + b
b = 149 - 94 cm
b = 55 cm
Answer:
Value of it's width is 55 cm .Step-by-step explanation:
In the question we have given perimeter of rectangular painting that is 298 cm , length of the painting is 94 cm , and we have asked to find the width of the rectangular painting . So perimeter of rectangle is ,
[tex] \purple{ \boxed{Perimeter \: of \: rectangle = 2 ( l + w ) }}[/tex]
Where ,
l = length of rectanglew = width of rectangleNow , we are substituting value of length and equating it with given perimeter :
[tex] \longrightarrow \: 2(94 + w) = 298[/tex]
Now, our last step is of calculations . So from here we are calculating ,
[tex] \longrightarrow \: 94 + w = \frac{298}{2} [/tex]
[tex] \longrightarrow \: 94 + w= 149[/tex]
[tex] \longrightarrow \: w = 149 - 94[/tex]
[tex] \longrightarrow \: \blue{\boxed{ \bold{w = 55 \:cm}}}[/tex]
Therefore, width of rectangular painting is 55 cm .#Keep Learningsolve for a ~
[tex]a {}^{2} - 5a + 6 = 0[/tex]
thankyou ~
Answer:
Hi there!
Given equation :-[tex]\:\mathsf{a^2\:-\:5a\:+\:6\:=\:0}[/tex]
Now=> By splitting the middle term
=> [tex]\:\mathsf{a^2\:-\:2a\:-\:3a\:+\:6\:=\:0}[/tex]
=> [tex]\:\mathsf{a(a\:-\:2)\:-\:3(a\:-\:2)\:=\:0}[/tex]
=> [tex]\:\mathsf{(a\:-\:2)\:-\:(a\:-\:3)\:=\:0}[/tex]
We get ,=> [tex]\:\sf{a\:=\:2\: and\: a\:=\:3}[/tex]
[tex]\:\mathsf{Hope\:this\:helps\:you!\::)}[/tex]
Thank you!
Answer:
[tex]a = 3 \: \: \: and \: \: a = 2[/tex]
Step-by-step explanation:
⬇
[tex]a^{2} - 3a - 2a + 6 = 0[/tex]
⬇
[tex]a \: (a - 3) \: \: (a - 2)[/tex]
⬇
[tex]{}\ a - 3 = 0 \\ a = 2{}[/tex]