Answer:
x^2-4x-4
Step-by-step explanation:
Dimension of the painting=x
Frame=2in wide is. Each side of the square painting
Length of the painting= x-2
Area of a square=lenght^2
=(x-2)^2
Multiply
=(x-2)(x-2)
=x^2-2x-2x+4
Combine like terms
Area of the square painting=x^2-4x-4
According to the Rational Root Theorem, which is not a possible solution of the
equation 2x4 - 5x3 + 10x2 - 9 = 0 ?
Answer:
5/2
Step-by-step explanation:
Possible rational roots are ...
±(divisor of 9)/(divisor of 2)
So, the possibilities are ...
±1/2, ±1, ±3/2, ±3, ±9/2, ±9
The one on your list that is not among these is 5/2.
5/2 is not a possible rational root.
in a town, 11 000 people out of the total population of 50 000 are aged under 18. What percentage of the population is aged under 18 ?
Answer:
22%
Step-by-step explanation:
1- 11000/50000 = 0.22
2- 0.22 x 100 = 22%
.. ..
Ms. Daffy tells you that the longest side of her right-triangular garden is 26m and one of the sides is 14m. A. She asks you to find the other side of the garden.
Answer:
22m
Step-by-step explanation:
The computation is shown below:
Since it is a right-triangular garden so we use the pythagoreus theorem
As we know that
The C^2 refers to the longest side of the right-triangular garden
So,
a^2 + b^2 = c^2
a^2 + 14^2 = 26^2
a^2 + 196 = 676
a^2 = 480
So a = 22m
Hence, the other side of the garden is 22m
In the diagram, how many circles are there for each square?
DA 1
Answer:
Where is the figure or picture
HELP PLEASE I WILL GIVE 13 POINTS
Answer:
this difference indicates that the results are independent but not reliable.
Find the y-intercept of the line on the graph
Answer: The Y intercept is 2
Step-by-step explanation: Your Y axis is where the line crosses the graph vertically, or going up and down. If you see, your line crosses vertically at 2. Your X intercept is -2.
Help, please!! What is the mR
Answer: I think it’s B (25)
Step-by-step explanation:
Answer:
Using the sine rule,
36/sin(50)=20/sin(R)
46.9=20/sin(R)
Sin(R)=46.9/20=0.43
R=Sin¯¹(0.43)=25.2°=25°
R=25°
Find the m∠Z.
12degrees
15.5
4.4
47.7
Using Sine rule,
[tex] \frac{\sin 96 \degree}{48}=\frac{\sin Z}{10}\\
\implies \sin Z=\frac{5\sin (96\degree)}{24}\\
\implies Z \approx 12\degree[/tex]
A garden consists of an apple tree, a pear tree, some cauliflower heads, and some cabbage heads. There are 40 vegetables in the garden. 24 of them are cauliflower heads. What is the ratio of the number of cauliflower heads in the garden to the number of cabbage heads?
24 cauliflower: 16 cabbage
Apples and pears are not vegetables, which means 40 - 24 = 16.
Answer:
24:16
Step-by-step explanation:
I think.
40 total - 24 cauliflower heads= 16 other vegtable.
Number of cauliflower heads: number of cabbage heads
24: number of cabbage heads (16)
Jenny starts running at a pace of 10 miles per hour. Her calf starts to hurt after 12 minutes, so she slows down to 6 miles per hour for the rest of her run. If the total distance she runs is 5 miles, how many minutes was the run, in total?
Answer:
42 minutes
Step-by-step explanation:
Here we want to calculate the number of minutes ran in total.
Kindly note that;
Time = distance/speed
Her starting speed is 10 miles/hour
but she ran for 12 minutes.
Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour
So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles
Now the rest of distance to run would be ;
5 -2 = 3 miles
She ran 3 miles at a speed of 6 miles per hour.
Time spent here is 3/6 = 0.5 hours which is same as 30 minutes
Total time spent = 30 + 12 = 42 minutes
What is the range of the function f(x) = 2x + 1 given the Domain D = {-1,0, 1, 2}?
R = {0, 1,3,5)
R= {-1,1,3,5)
R = {-5, -3,-1,1)
R = {0, 1,3,6}
Answer:
R= {-1,1,3,5)
Step-by-step explanation:
To find the range, use the domain values as the input and find the output for the function
Domain D = {-1,0, 1, 2}?
f(x) = 2x + 1
f(-1) = -2 +1 = -1
f(0) = 0 + 1=1
f(1) = 2 + 1 = 3
f(2) = 4 + 1 = 5
The range is { -1,1,3,5}
find the value of the equation which is in below :
[tex]1 \div 4 + \sqrt{3} [/tex]
plz give the answer with step by step explanation
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
[tex]1/4+\sqrt{3} \\1/4+\sqrt{3} (Criss cross)\\1+4\sqrt{3} \\5\sqrt{3}[/tex]
Hope I am correct
Si incrementa 35% los precio de un restaurante.Si un salmón a la mostaza lo vendía en 28,50 y un pollo al curry en 32,80¿cuales serán los nuevos precios de estos platos?¿cual sera el monto neto que recibirá por plato sin incluir el 18%de igv?
Answer:
Los nuevos precios serán 38.50 por el salmón y 44.30 por el pollo.
El monto neto recibido será 31.57 por el salmón y 36.32 por el pollo.
Step-by-step explanation:
Para resolver este problema primero debemos calcular el 35% del precio de ambos platos para saber cuánto se incrementará su precio.
Salmón a la mostaza:
Precio anterior: 28.50
El 35% de 28.50 es (28.50)(.35) =9.975
Precio nuevo = 28.50 + 9.975 = 38.475 = 38.50
Pollo al curry
Precio anterior: 32.80
El 35% de 32.80 es (32.80)(.35) = 11.48
Precio nuevo = 32.80 + 11.48 = 44.28 = 44.30
Ahora, para calcular el monto neto que recibirá por plato sin incluir el 18% de IGV tenemos que calcular el 82% del precio de cada plato (pues 100 - 18 = 82) y este será el monto neto que se recibirá.
Salmón a la mostaza.
Precio nuevo: 38.50
El 82% de 38.50 es (38.50) (.82) = 31.57
Se recibirá 31.57 por el Salmón a la mostaza.
Pollo al curry
Precio nuevo: 44.30
El 82% de 44.30 es (44.30) (.82) =36.32
Se recibirá 36.32 por el Pollo al curry.
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation? y = negative four-thirds x + 31. y = 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = 2 x + 7. y = negative four-thirds x + 31. y = negative 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = negative 2 x + 7.
Answer:
Let x represent the smaller number and y represent the larger number
For the first equation
Four times a number added to 3 times a larger number is 31 is written as
4x + 3y = 31
Making y the subject we have
3y = - 4x + 31
Divide both sides by 3
That's
[tex]y = - \frac{4}{3} x + \frac{31}{3} [/tex]
For the second equation
Seven subtracted from the larger number is equal to twice the smaller number is written as
y - 7 = 2x
Making y the subject
We have
y = 2x + 7Hope this helps you
Answer:
first one (A)
Step-by-step explanation:
Work out the surface area of this triangular prism
Answer:
1008 [tex]cm^2[/tex]
Step-by-step explanation:
Given:
Triangular prism with
Base of triangle = 5 + 9 = 14 cm
Height of triangle = 12 cm
Here, we have 3 faces of the prism as a rectangle, all have width = 20 cm
Lengths of faces = 13cm ,14cm and 15 cm respectively
To find:
Total surface area = ?
Solution:
3 faces are rectangular shape and 2 faces are triangular shape.
[tex]Area\ of\ rectangle = Length \times Width[/tex]
The formula for Total Surface Area of a triangular prism is given as:
[tex]TSA = 2 \times \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 \times \dfrac{1}{2}\times Base \times Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 \times 12 + 15 \times 20+ 13 \times 20+ 14 \times 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2[/tex]
So, the total surface area of the given triangular prism is 1008 [tex]cm^2[/tex].
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
A.
Step-by-step explanation:
The equation is ax^2 + bx + c = 0.
a = -1, and b = 1.
-1x^2 + 1x + c = 0
-x^2 + x + c = 0
Hope this helps!
x divided by 6 - 11 = -10
Answer:
x = 50
Step-by-step explanation:
[tex]\frac{x}{6-11} =-10\\\\\frac{x}{-5} =-10\\Cross-Multiply\\x = - 10\times -5\\x = 50[/tex]
WILL GIVE BRAINLIEST AND 25 POINTS! Which of the following statements are true? Check all that apply. A. If any row of a square matrix is zero, its determinant is zero. B. If all numbers in a matrix are equal, its determinant is zero. C. The determinant of any identity matrix is zero. D. The determinant of a matrix with all positive numbers is always positive. E. The determinant of any zero matrix is zero.
Answer:
Option A, B and E
Step-by-step explanation:
Determinant = ad-bc
Let's look at the picture and solve all
Option A)
If the row ( c and d ) is zero, the determinant will be zero
=> a(0)-b(0)
=> 0-0
=> 0 (So, True)
Option B)
If a = b = c = d (Let's say 1), the determinant will be
=> (1)(1)-(1)(1)
=> 1-1
=> 0 (So, True)
Option C)
An Identity matrix is
=> [tex]\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
So , it's determinant will be
=> (1)(1)-(0)(0)
=> 1-0
=> 1 (So, False)
Option D)
The determinant with matrix will all positive numbers can be negative as well as positive. This is not necessary that it would be positive. (So, False)
Option E)
A zero matrix is
=> [tex]\left[\begin{array}{ccc}0&0\\0&0\end{array}\right][/tex]
So, it's determinant is:
=> (0)(0)-(0)(0)
=> 0-0
=> 0 (So,True)
Answer: A B E
A. If any row of a square matrix is zero, its determinant is zero.
B. If all numbers in a matrix are equal, its determinant is zero.
E. The determinant of any zero matrix is zero
Step-by-step explanation:
edge assignment
to get t school each morning vanessa takes a horse 19.33 kilometers and a train 2.27 kilometers . in total the journey takes 26.48 minutes how many kilometers is vanessa,s journey in total?
Answer:
Step-by-step explanation:
19.33 + 2.27 + 26.48 = Total journey
19.33 + 2.27 + 26.48 = 48.08 km
Therefore, the total journey is 48.08 km
Guys, anyone pls help me..
Answer:
formula of circumference =p=theater÷360×2×pie×r
Step-by-step explanation:
so its a right angle.so =90%
the answer is 15.70
round off.=16cm
Answer:
Step-by-step explanation:
1. ON^2=10^2-8^2=100-64=36
ON=V36=6 cm
MON=MO+ON=10+6=16 cm
2. MO=ON=V13^2=12^2=V169-144=V25=5cm
MON=MO=ON=5+5 =10cm
PLEASE ANSWER THIS VERY FAST!! A gym membership costs $40 per month plus a one time sign up fee of $20. How many months would it take to spend $1000 for the gym membership? about 24 months or 2 years. about 12 months or 1 year. about 36 months or 3 years.
Answer:
About 24 months
Step-by-step explanation:
1000-20= 980
980/40= 24.5
Answer: about 24 months
Step-by-step explanation:
First subtract 20 from 1000 and then divide the awnser by 40
1000-20= 980
1000/ 40= 24.5
A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?
Answer:
y = −1/3x+17/3
Step-by-step explanation:
The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)
Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)
Midpoint formula: [tex]( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]
So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)
y - 4 = -1/3 (x-5)=
y = −1/3x+17/3
A car rental charge is $100 plus $5.00 per mile traveled. Create an equation for the situation above.
Determine the intercepts of the line.
Answer:
Hi!
The x-axis is the line that goes horizontal (from left to right) and the y-axis is the line that goes vertical (up and down). Intercepts are points that meet or intersect the axis. The x-intercept is (-40,0). The y-intercept is (0,15).
Hope this helps!
xx gloriouspurpose xx
how to do this question plz
Answer:
[tex]y=28[/tex]
Step-by-Step Explanation:
Please refer to the attachment below.
So, notice that to find y, we simply need to determine x.
Remember that the area of a parallelogram is given by bh.
We can see that our base is x.
And our height h is half of 14. Therefore, h=7.
So, the area of one parallelogram is:
[tex]A=7x[/tex]
Then the area of four parallelograms is:
[tex]A=4(7x)=28x[/tex]
Since the total area of the shape is 308 squared centimeters. This means that:
[tex]308=28x[/tex]
Therefore:
[tex]x=11[/tex]
Then it follows that:
[tex]\begin{aligned} y&=2x+6\\ &=2(11)+6 \\ &=22+6 \\ &=28\end{aligned}[/tex]
round off 53.96 to the nearest tenth
Answer:
54.0
Step-by-step explanation:
53.96
The bold number is in the tenth form and needs rounding off. So look at the number after the bold number (6).
Now 6 falls off the 5 or greater category, meaning that you have to add one to the bold number.
9 + 1 = 10
Now since the number is 10, you add the number before the bold number by 1 (underlined number) and replace the bold number by 0.
53.96
54.00
Since you are focusing on the tenth place, keep the zero sitting on that spot.
54.0
A quadrilateral has its interior angles X, 47, 95, 82. Find
the value of x
Answer:
x = 136
Step-by-step explanation:
A quadrilateral always has angles that sum to 360. Thus, 47 + 95 + 82 + x = 360. Subtract 47, 95, and 82 from each side and get x = 136.
Hope it helps <3
Complete the square
to find the vertex
of this parabola.
2
X -- 4 y-12 x+68=0
([?], [ ]
PLEASE HELP ASAP
Answer: 6,8
Step-by-step explanation:
What is the 30th term of the linear sequence below? −4, −1, 2, 5, 8
Answer:
83
Step-by-step explanation:
The nth term is an=3n−7 .
30*3=90
90-7=83
so the 30th term would be 83
When you make an electronic payment from your checking account, the bank __________ identifies the bank where you have an account. A:Withdrawal number b:Deposit number c:Certified number d:Routing number
Answer:
d: Routing number
Step-by-step explanation:
To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.