Answer:
3a. x=8 3b. x=4 4a. 7 4b. -13.5
Factorise; 2 cubed multilpied by 2 squared
Hello Harry4Hudson!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Factorise; 2 cubed multilpied by 2 squared.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Firstly let's change the statement to a numerical expression.
[tex] \cdot\sf \: 2 \: cubed = 2 ^{3} \\ \cdot\sf \: multiplied \: by = \times \\\cdot\sf \: 2 \: squared = 2 ^{2} \\ \\ \sf \: So, \: the \: expression \: becomes \rightarrow \boxed{\tt {2}^{3} \times {2}^{2} }[/tex]
__________________
[tex]2 ^{3} \times 2^{2} [/tex]
To solve this, we must know that while multiplying exponents which have a same base we must take their base as common & add the exponents.
[tex]2 ^{3} \times {2}^{2} \\ = (2) ^{3 + 2} \\ = \underline{\underline{ 2 ^{5} }}[/tex]
We got 2⁵. Now, multiply 2 five times to get the answer.
[tex] {2}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ = \huge \boxed{\boxed{\bf 32}}[/tex]
__________________
Hope it'll help you!
ℓu¢αzz ッ
Hey there!
2 cube multiplied by 2 squared
= 2³ × 2²
= (2 × 2 × 2) × (2 × 2)
= 8 × 4
= 32.
Hope it helps ya!
What is 0.00000008 in scientific notation?
Answer:
The answer to this question is 8×10−8. I hope this helps you! :D
Answer:
8*10^-8
[tex]ie.8 \times {10}^{ - 8} [/tex]
The Sierra club purchased a new kayak. Each of the 6 members paid the same amount. When 2 new members joined, each of the original 6 members received a check back for $10. How much did the kayak cost?
Answer:
the answer will the sum of multiple of 6& 8 and the lcm of 6 &8
Step-by-step explanation:
ie.
48+24=
OK SO this is my report card, not my final. I have 2 more coming out so all three add up to my final. how much would i need in my classes to have an average of 90 smt for my FINAL report card?? pls send help
Answer:
Step-by-step explanation:
70% or more 70% is most likely a b-
Can anyone please help me with this?
Answer:
m∠QPT = 110°
Step-by-step explanation:
1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.
This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.2. (Solving)
Step 1: Combine like terms.
[tex]6x + 20 = (x+4x)+(40-5)[/tex] [tex]6x + 20 = 5x + 35[/tex]Step 2: Subtract 20 from both sides.
[tex]6x + 20 - 20 = 5x + 35 - 20[/tex] [tex]6x = 5x +15[/tex]Step 3: Subtract 5x from both sides.
[tex]6x - 5x = 5x +15 - 5x[/tex] [tex]x = 15[/tex]Step 4: Check if solution is correct.
[tex]6(15)+20=(15)+40+4(15)-5[/tex] [tex]90 + 20 = 15 + 40 + 60 - 5[/tex] [tex]110 = 55 + 60 - 5[/tex] [tex]110 = 115 - 5[/tex] [tex]110 = 110[/tex]3. Now, let's plug in 15 for 6x + 20:
[tex]6(15)+20[/tex] [tex]90+20[/tex] [tex]110[/tex]Therefore, m∠QPT = 110°.
What is the ‘angle’ZQPT?
Jane bought a shirt for $27, a skirt for $32, and a pair of shorts for $14. Choose the answer that is the best estimate for the total cost of these items.
Answer:
70
The answer is 70
F (x) = 3x + 7
F (-4) =
F (2) =
Answer:
f(-4)=3(-4)+7=0
f(2)=3(2)+7=13
Answer:
Step-by-step explanation:
f(x) = 3 x+7
f(x) = 3 x + 7
f(-4) = 3*-4 + 7
f(-4) = -12 + 7
f(-4) = -5
f(x) = 3 x + 7
f(2) = 3*2+7
f(2) = 6 + 7
f(2) = 13.
:f(-4) =-5 , f(2) =13
find the sum of the even integers from 20 to 50.
with solutions please help
Answer: 560
Step-by-step explanation:
There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.
The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120
The 30's can be written: 5*30 + 20 = 170
40's: 5*40+20 = 220
50's: 5*50+20 = 270
60's: 5*60+20 = 320
Each set is incremented by 50
We want the sets for 20, 30, and 40, plus the number 50.
(120+170+220+50) = 560
You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.
Write an equation of the parabola in vertex form. (-2, 6) (-1, 3)
An equation of the parabola is y=
The equation of the parabola is y = -3(x + 2)^2 + 6
How to determine the parabola equation?From the graph, we have:
Vertex, (h,k) = (-2,6)Point (x,y) = (-1,3)A parabola is represented as:
y = a(x - h)^2 + k
Substitute (h,k) = (-2,6)
y = a(x + 2)^2 + 6
Substitute (x,y) = (-1,3)
3 = a(-1 + 2)^2 + 6
Evaluate
3 = a + 6
Subtract 6 from both sides
a = -3
Substitute a = -3 in y = a(x + 2)^2 + 6
y = -3(x + 2)^2 + 6
Hence, the equation of the parabola is y = -3(x + 2)^2 + 6
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Consider the two linear expressions.
−(−12−6x−3) and 3.5−6x
Are the two linear expressions equivalent?
Drag a word or phrase to the box to correctly complete the statement.
Answer:
Your answer is not equivalent :D
Answer: Not Equivelant
Step-by-step explanation: K12 test
Titik P(10,3) dicerminkan terhadap sumbu x dan dilanjutkam terhadap pencerminan pada garis y = x menghasilkan bayangan titik P” yaitu
A. (10,-3)
B. (-3,10)
C. (3,-10)
D. (-10,3)
Answer:
B
Step-by-step explanation:
untuk p'
gerak kebawah dr garisan x sebanyak 3 kotak
p'= (-3,10)
untuk p''
disebabkan y=x
terbalikkan nilai p'
p''=(10,-3)
The perimeter of an equilateral triangle is 12 inches. After a dilation, the
perimeter of the image is 42 inches. What is the scale factor of the dilation?
Based on the change in the perimeter, the scale factor of the dilation is 3.5.
The scale factor of the dilation refers to the number of times the triangle was dilated such that it went from 12 inches to 42 inches.
This dilation can be found as:
= Increased perimeter / Original perimeter
Solving for it would give:
= 42 / 12
= 3.5
In conclusion, the scale factor of the dilation is 3.5.
Find out more at https://brainly.com/question/8765466.
Factor Completely. (and please show work)
4x^2 - 8x +3
Step-by-step explanation:
=>4x²-8x+3
=> 4x²-2x-6x+3
=> 2x(2x-1)-3(2x-1)
=>(2x-1)(2x-3).
hope this helps you.
The ratio of the interior angles of a triangle is 4:5:7. What are the angle measures?
Answer:
45:56.25:78.75
Step-by-step explanation:
a triangle=180º total
4+5+7=16
180÷16=11.25
The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The ratio of the interior angles of a triangle = 4 : 5 : 7
Now,
Find the interior angles of a triangle as;
Since, The ratio of the interior angles of a triangle = 4 : 5 : 7
Hence, First angle = 4x
Second angle = 5x
Third angle = 7x
Since, The sum of all the angles in a triangle = 180°
So, We can formulate;
⇒ 4x + 5x + 7x = 180
⇒ 16x = 180
⇒ x = 180/16
⇒ x = 11.25
Thus, First angle = 4x
= 4 × 11.25
= 45°
Second angle = 5x
= 5 × 11.25
= 56.25°
Third angle = 7x
= 7 × 11.25
= 78.25°
Thus, The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.
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The function f(x)=x−−√ is reflected over the x-axis, translated 4 units down and 5 units to the left, then vertically stretched by a factor of 3. Which equation best represents the new function created?
Answer:
U dry aint put a answer
Step-by-step explanation:
Transformation involves changing the position of a function.
The equation of the new function is: [tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
The function is given as:
[tex]\mathbf{f(x) = \sqrt x}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{f'(x) = -\sqrt x}[/tex]
The rule of translation, 4 units down and 5 units left is:
[tex]\mathbf{(x,y) \to ( x + 5,y-4)}[/tex]
So, we have:
[tex]\mathbf{f"(x) = -\sqrt{x + 5} - 4}[/tex]
The rule of vertical stretch by a factor of # is:
[tex]\mathbf{(x,y) \to (x,3y)}[/tex]
So, we have:
[tex]\mathbf{g(x) = 3(-\sqrt{x + 5} - 4)}[/tex]
[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
Hence, the equation of the new function is:
[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
Read more about transformation at:
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Answer Fast Plsssss please hellpppp me
Answer:
y = 2/3x
Step-by-step explanation:
Answer:
y=2/3m
Step-by-step explanation:
the slope, m, equals rise over run
the slope rises 2, then runs 3, making 2/3
Hope this helps!
Please do 17-20! No work needed, please do fast this is due soon! Thank you!!
*What you should know*
Point slope form,
y-y1=m(x-x1)
Parallel lines have the same slope.
1. Points (4,2)
y=2
x=4
m=-3/4
substitute this information into the point-slope form formula,
》y-2=-3/4(x-4)
2.
y=-3
x=-3
m=7/3
》y-(-3)=7/3(x-(-3))
3.(-4,0)
y=0
x=4
m=3/4
》y-0=3/4(x-4)
4. (-1,4)
y=4
x=-1
m=-5
》y-4=-5(x-(-1))
brianlist me?
Your mother bought 2 kilograms of chicken and 3 kilograms of pork to consume in week. How many kilograms of chicken and pork did your family consume in a month?
Answer:
20?.... seems right to me.
Step-by-step explanation:
9514 1404 393
Answer:
20 kg
Step-by-step explanation:
The mass of the chicken and pork for 1 week is (2 kg) +(3 kg) = 5 kg.
Normally, we think of a month as 4 weeks.
(4 wk)(5 kg/wk) = 20 kg
If pork and chicken are consumed at the same rate for 4 weeks, the family will consume 20 kg of pork and chicken.
_____
If we consider a year to be 52 weeks (it is actually 1 or 2 days longer), then the number of weeks in an average month is ...
52/12 = 4 1/3 weeks/month
Multiplying that value by 5 kg/week will give 21 2/3 kg per month.
__
The answer depends on the assumption you make about weeks in a month.
translate 3(x-y)=2y+9 into a verbal sentence
Answer:
3 times x then minus 3 times y equal 2y plus 9
Step-by-step explanation:
Not sure if it works......
that's the verbal sentence (which is not formal sentence) i can think of now......
Two numbers multiply to be -7 and add to be 6. What are the numbers?
Answer:
-1 and 7
Step-by-step explanation:
-1 x 7 = -7
-1 + 7 = 6
Both outcomes are true with these two numbers.
multiply ( 2 4/5 ) x ( -5 2/3 )
( -10 8/15 )
( -15 13/15 )
( 10 8/15 )
( 15 13/15 )
Answer:
Step-by-step explanation:
First turn the mixed fractions into improper fractions
--> ([tex]\frac{2*5+4}{5}[/tex]) × ([tex]\frac{-5*5+4}{3}[/tex])
[tex]\frac{14}{5}[/tex]×[tex]\frac{-17}{3}[/tex]
Then multiply. the answer becomes −15 13/15
GIVING BRAINLIEST PLS FAST
Answer: is not a full square
Step-by-step explanation:
Just look at the degree ; if it were a multiple of two , then the number would be a full square ; but as we see , 9 is not a multiple of two , from which it is not a full square
Consider triangle ABC where AB=X+5, BC=X-2, area is 30cm squared. Find X by solving X^2+3X-70=0, and find the perimeter.
Answer:
What the hell AC is not given so you can't find the Perimeter
Step-by-step explanation:
x^2+3x-70=0(x-7)(x+10)=0x-7=0x+10=0
x=7x=-10
AB=x+5
AB=12AB=-5
BC=x-2
BC=5BC=-12
Area of ABC = 30cm2
Perimeter of ABC = AB+BC+AC
Match the expression with its name. 3x + 7
Answer:
It's a linear expression.
Answer:
linear binomial
Step-by-step explanation:
I got it right in Grandpoint.
Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each minute. Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).
coordinates please!
Answer:
See the graph attached
Step-by-step explanation:
Every minute = 3m
At time zero, the depth is zero
Giving coordinates of (0, 0)
At time 1 minute, the depth is 3m
Giving coordinates of (1, 3)
This gives a linear equation
Slope = Δy/Δx
= (3-0)/(1-0)
= 3/1
= 3
Take any general point (x, y)
The equation of the line is:
(y-0)/(x-0) = 3
y/x = 3
y = 3x
See the plot which goes up to a depth of 5m
If in a game you play, gives you 40 candies, and one round takes 3 minutes, and you need 600 candies to buy 1 item.
How many minutes will it take to buy 30 items?
Answer:
1350min
Step-by-step explanation:
(600÷40)×3=45min for one item
45×30=1320 min for 30 items
True or False
a = 6 is a solution to the inequality below:
a/2 < 4
( The < is underlined)
The number of women elected to the us house of representatives has increased nearly every congress since 1985 in ths 99th Congress to beginning in 1985 there were 22 female representatives in the 109th Congress beginning in 2005 there were 68 female representatives write a linear eauation that models the number of female members lf the house of representatives x years after 1985
Answer:
y = 2 · 3 x + 22
Step-by-step explanation:
Analysis: Number of female representatives in 1985 = 22
This can be represented by the point (0,22).
Number of representatives in 2005 = 68.
This can be represented by the point (2205-1985,68)
= (20,68)
Slope of the line : [tex]\frac{68-22}{20-0} =\frac{46}{20} =\frac{23}{10} =[/tex] 2 · 3
∴ Equation of the line : y = mx + c
⇒ 22 = 2 · 3 (0) + c
⇒ C = 22
∴ y = 2 · 3 x + 22
You ate 1/6 of a pizza and your brother eats 5/8 of the pizza .How much did your brother eat compared to you
Answer:
Subtract: 5/8 - 1/6 = 5 · 3/8 · 3 - 1 · 4/6 · 4 = 15/24 - 4/24 = 15 - 4/24 = 11/24
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 6) = 24. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 6 = 48. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - five eighths minus one sixth = eleven twenty-fourths.