Answer:
9/4x^2 - 6x +4
Step-by-step explanation:
( 3/2x-2)^2
(3/2x-2)(3/2x-2)
9/4x^2 - 3x - 3x +4
9/4x^2 - 6x +4
3/2 x 2 = 6/2 = 3
Step-by-step explanation:
( 3/2x-2)² = 9/4 x²- 6x +4
Are the fractions 2/8 and 1/4 equivalent ? True or False?
Answer:
True
Step-by-step explanation:
Equivalent fractions are fractions with different numbers representing the same part of a whole.
The diagram shows a playground in the shape of a trapezium.
50 m
U
32m
90 m
Work out the area of the playground.
Answer:
[tex] 2240 {m}^{2} [/tex]Step-by-step explanation:
Given,
Parallel sides of the trapezium = 50m, 90m
Height of the trapezium = 32m
Therefore,
Area of the trapezium
[tex] = \frac{1}{2} \times sum \: of \: parallel \: sides \: \times \: height[/tex]
[tex] = \frac{1}{2} \times (50 + 90)m \times 32m[/tex]
= (50 + 90) m × 16m
= 140m × 16m
[tex] = 2240 {m}^{2} (ans)[/tex]
Answer:
A = 2240 m²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 32 , b₁ = 90 and b₂ = 50 , then
A = [tex]\frac{1}{2}[/tex] × 32 × (90 + 50) = 16 × 140 = 2240 m²
The equation of the line that goes through the point ( 3 , 4 ) and is parallel to the line 3 x + 4 y = 2 can be written in the form y = m x + b
Answer:
y = -3x/4 + 25/4
Step-by-step explanation:
3x + 4y = 2
-3x -3x
4y= -3x + 2
4y/4 = -3x/4 + 2/4
y = -3x/4 + 1/2 mx= -3x/4
y = -3x/4 + ?
-3x/4 = Right 4, Down 3 on a graph
( 3, 4)
-4 +3
Also goes thru the point (-1, 7)
+1 -3/4
(0, 25/4 or 6.25)
y = -3x/4 + 25/4
Haven't done this in a while hope this helps :)
What is the equation of this parallel line?
Answer:
y = 5x - 6
Step-by-step explanation:
y - 9 = 5 ( x - 3 )
y = 5x - 15 + 9
y = 5x - 6
If you have $4.00, how many pounds of apples can you buy?
A. 7 pounds
B. 7/4 of a pound
C. 4/7 of a pound
D. 2 2/7 pounds
Answer:
[tex]2 \frac{2}{7}[/tex] pounds, D
Step-by-step explanation:
1 pound of apples = 1.75 dollars.
Set the number of pounds of apples as x.
Then, we can write this equation.
1.75x = 4
[tex]\frac{7}{4}[/tex]x = 4
Divide both sides by [tex]\frac{7}{4}[/tex]
x = [tex]\frac{4}{1}[/tex] * [tex]\frac{4}{7}[/tex]
x = [tex]\frac{16}{7}[/tex]
x = [tex]2 \frac{2}{7}[/tex]
Thus, the answer is D, x = [tex]2 \frac{2}{7}[/tex] pounds
URGENT CASE, need help please, Trigonometric Functions
Answer:
[tex]\displaystyle 3,8 ≈ AC[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{4}{AC} = csc\:70 \hookrightarrow ACcsc\:70 = 4 \hookrightarrow \frac{4}{csc\:70} = AC \hookrightarrow 3,7587704831... = AC \\ \\ 3,8 \approx AC[/tex]
OR
[tex]\displaystyle \frac{AC}{4} = sin\:70 \hookrightarrow 4sin\:70 = AC \hookrightarrow 3,7587704831... = AC \\ \\ 3,8 \approx AC[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
600 gallons of water is used to
fill aquariums. 100 gallons can
fill the small aquarium, and the
rest can fill 4 equal-sized bigger
aquariums. How much water
can be put in each of the bigger
aquariums?
Answer:
125 gallons
Step-by-step explanation:
Answer:
125 gallons
Step-by-step explanation:
600-100=500
500/4=125
125 gallons go in each of the bigger aqauriums
x+1/2(x-4)=1/2x+6(x-2)
how many solutions does the equation have?
A. 0
B. 1
C. 2
D. 4
PLEASE HURRY
Answer:
B) 1
Step-by-step explanation:
x+1/2(x-4)=1/2x+6(x-2)
x+1/2x-4/2=1/2x+6x-12
x+1/2x-1/2x-2=6x-12
x-2=6x-12
x-6x-2=-12
-5x-2=-12
-5x=-12+2
-5x=-10
5x=10
x=10/5
x=2
What is the sq m of 75000 sq cm
ANSWER ASAP DONT SEND A FILE. WHAT IS TRANSFORMATION SHOWN?
Answer:the answer Is the second option
Step-by-step explanation:
It is reflected across the it is rotated
Answer:
try the middle one and if it doesn't work say you pressed the wrong one when your teacher asks
Can someone please answer?
Answer:
Step-by-step explanation:
another way to express 52+24 is 4(13+6)
Answer:
4(13+6)
Step-by-step explanation:
52+24=76 and 4(13+6)=76.
U add 13+6 first then multiply 4 times 19 and there's ur answer :)
3. Jayne, Carlos, June, and Pedro each measured their dogs' weights, but each used a different measurement. Place the four dogs in order from lightest to heaviest.
Jayne's Dog 42 lbs
Carlos' Dog 624 oz
June's Dog 41 lbs,
7 oz Pedro's Dog
665 oz
Answer:
Carlos, June, Pedro, Jayne
least to greatwst
evaluate the expression (4×5)2-6+3
Answer:
40x - 3
Step-by-step explanation:
4x(5)(2)−6+3
=40x+−6+3
=40x+−6+3
=(40x)+(−6+3)
=40x+−3
A pair of shoes costs $75, but you have a coupon for 15% off How much do the shoes cost after using the coupon?
Answer:
$63.75
Step-by-step explanation:
2x is subtracted from the square of a number
Answer:
let the number be x
x²-2x=0
here it is your quadratic equation
Select the correct answer.
Which sequence is not equivalent to the others?
Answer:
what are the answer choices?
Step-by-step explanation:
Ian recorded the grade-level and instrument of everyone in the middle school School
of Rock below.
Seventh Grade Students
Eighth Grade Students
Instrument # of Students
Instrument # of Students
12
Guitar
Bass
Drums
Keyboard
7
14
9
4
5
Guitar
Bass
Drums
Keyboard
3
5
Based on these results, express the probability that a seventh grader chosen at
random will play the drums as a decimal to the nearest hundredth.
Answer:12/77
Step-by-step explanation:
The probability that a seventh grader chosen at random will play an instrument other than the Guitar is 0.76.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
The total event for seventh grade is given as,
Total = 9 + 9 + 11 + 9
Total = 38
The probability that a seventh grader chosen at random will play an instrument other than the Guitar is calculated as,
P = 9/38 + 11/38 + 9/38
P = 29/38
P = 0.76
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
The complete question is given below:
the spinner shown below has 12 congruent sections. the spinner spun 150 times. what is a reasonable prediction for the number of items the spinner will land on an even number. (pls help asap!!)
Answer:45
Step-by-step explanation:
There are 3 even numbers out of A total of 8 numbers.
Each spin would have a 3/8 chance of landing in an even number.
Multiply the chance of landing on even by number of spins:
120 x 3/8 = 360/8 = 45
The answer would be 45 times.
The net below represents a container. What solid figure does it show.
Answer:
Looks like a cuboid
Hope it helps :)
Have a great day!
The net below represents a container. What solid figure does it show?
____________________Solution :-We can see that the given net has 12 edges, 6 faces and 8 vertices if we compile it up. These number of edges, faces and vertices are found in a cuboid or a rectangular prism. With this we can conclude that if we compile the given net, it will form a cuboid or a rectangular prism. So, the given net is of a cuboid or a rectangular prism.
____________________Final Answer :-The given net is of a cuboid or a rectangular prism.
____________________Which equation has the same solution as x2 - 6x - 14 = 0?
А
(x + 3)2 = 23
B
(x - 3)2 = 23
С
(x + 3)2 = 5
D
(x - 3)2 = 5
Answer:
i think it is option c
Step-by-step explanation:
y=-2x-5
y=5x+6
Round to the nearest hundredth.
Step-by-step explanation:
-2x-5=5x + 6
-2x - 5x = 6 + 5
-7x = 11
x = -11/7
x = 1.571
y = 5(1.571) + 6
y = 7.855 + 6
y = 13.855
In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?
Answer:
[tex]\cos(W) = \frac{9}{41}[/tex]
Step-by-step explanation:
Given
[tex]\angle Y = 90^o[/tex]
[tex]YX = 40; XW = 41; WY = 9[/tex]
Required
Determine [tex]\cos(W)[/tex]
The question is illustrated with the attached image.
So:
[tex]\cos(W) = \frac{Adajacent}{Hypotenuse}[/tex]
[tex]\cos(W) = \frac{WY}{XW}[/tex]
This gives:
[tex]\cos(W) = \frac{9}{41}[/tex]
How high is the end of the ladder against the building?
Answer:
D.
Step-by-step explanation:
its a right triangle, so we can use the pythagorean theorem to find h
(pythagorean theorem is a^2+b^2=c^2, c is the hypotenuse)
h^2+4^2=13^2
h^2+16=169
h^2=153
h=sqrt153
h≈ 12.4ft
f(x)= square root of x-5. find f-1 (x) and it’s domain
Answer:
Option B.
Step-by-step explanation:
Inverse function:
Suppose we have a function y = f(x). To find the inverse function, we exchange x and y on the original function, and then isolate y.
The domain of the inverse function(x values) is the range of the original function(y values).
Original function:
[tex]f(x) = \sqrt{x} - 5[/tex]
Domain is [tex][0,\infty)[/tex], and when [tex]x = 0, f(x) = -5[/tex]. So the range is [tex][-5,\infty][/tex], that is, [tex]y \geq -5[/tex]
Inverse function:
[tex]y = \sqrt{x} - 5[/tex]
Exchanging x and y
[tex]x = \sqrt{y} - 5[/tex]
[tex]\sqrt{y} = x + 5[/tex]
[tex](\sqrt{y})^2 = (x+5)^2[/tex]
[tex]y = (x+5)^2[/tex]
The inverse function is [tex]f^{-1}(x) = (x+5)^2[/tex]
Domain:
Range of the original function is [tex]y \geq -5[/tex], so the domain of the inverse function is [tex]x \geq -5[/tex]. The correct answer is given by option B.
Answer:
B. f ^ -1 (x) = (x + 5) ^ 2;
x > -5
Step-by-step explanation:
Ap e x
Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is the time in years. Solve algebraically after how many years she will get $1200 in her account (round it to the nearest year).
Answer: 19 years
Step-by-step explanation:
Given
Amount invested [tex]\$400[/tex]
Rate of interest [tex]R=6\%[/tex]
after 1-year amount becomes
[tex]A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424[/tex]
After n years it is
[tex]A=400\left (1.06\right)^n[/tex]
Sum accumulated is [tex]\$1200[/tex]
[tex]\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}[/tex]
The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, what is the constant of proportionality for the group of boxes?
1/25
4,225
25
Answer:
k = 25
Step-by-step explanation:
Given the following data;
Volume = 325 in³
Length = 13 inches
To find the constant of proportionality, k;
Mathematically, direct proportion is given by the expression;
V = kL
k = V/L
Substituting into the formula, we have;
k = 325/13
k = 25
Hisoka had 10 little boys 3 of them ripened and he fought them how many little boys does he have left to fight
ok so the actual question
Do you want to join one of my cults I have:
-Pitou cult
-Kurapika cult
-L Lawliet cult
-Armin cult
-Giyuu cult
-and Gay phrog cult
Answer:
7 lil boys i-
YE PLS ILL JOIN KURAPIKA CULT N ARMIN CULT- ofc gay frog cult 2 :3
Step-by-step explanation:
:3
Answer:
I wnat to jon Kurpaika cult please bestie
Step-by-step explanation:
AWOOOOOOOOOOOOOOOGA
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
B. 224
Step-by-step explanation: 42/60 means that 70 % of people ride the school bus. So 70 percent of 320 is 224. Hope this helps
How many solutions does the equation 5x+17=4(3x−1) have?
Answer:
one solution = 3
Step-by-step explanation:
Let's solve your equation step-by-step.
5x+17=4(3x−1)
Step 1: Simplify both sides of the equation.
5x+17=4(3x−1)
5x+17=(4)(3x)+(4)(−1)(Distribute)
5x+17=12x+−4
5x+17=12x−4
Step 2: Subtract 12x from both sides.
5x+17−12x=12x−4−12x
−7x+17=−4
Step 3: Subtract 17 from both sides.
−7x+17−17=−4−17
−7x=−21
Step 4: Divide both sides by -7
-7x/-7 = -21/-7 = 3
Pls help me ASAP no scamming:-)
Hi this was a different question from normal but okay.
Answer:
There has been an high speed chase that lead to an injury of a young girl. Isaac midway had fled the seen at North West 22nd, around 2:56 pm. With the girl laying in the street with a broken leg and fractured ankle. Have any evidence call crime stoppers.
Step-by-step explanation:
This provides criminal, time and location and injury. Good luck.
One Night, The Criminal Mastermind, Arnold "Laughing" Jack Escapes From The Facility In New Orleans, And Proceeds To Murder 70 People, The Most Famous Spot Was His Murder Hotel Where He Mutilated 5 People In The Kitchen. The Injuries On The Bodies Were Similar To What Forensics Is The Equivalent Of, How Being Struck With A Curved Sword Would Be.