Answer:
the true one is all fractions containing integers are rational numbers is true
Step-by-step explanation:
i think
Answer:
All fractions containing integers are rational numbers.
Step-by-step explanation:
1- Find the slope of the line: y = -4/3 X-1*
m= -1 m= -4 m= -4/3 m= 4 v
Slope-intercept form: y = mx + b
m = the slope
y = the y-intercept
In our problem,
y = -4/3x - 1
m = -4/3
The slope is -4/3
if segment ac has a midpoint of b, and ab=32 and bc=5x+7, what is the length of segemnt bc
Answer:
BC = 32Step-by-step explanation:
B being midpoint of AC means:
BC = AB = 32
Once you are finished with your practice problems respond to the discussion prompt:
Classify each of the following rational numbers as repeating or terminating decimals.
3/5
1/9
7/10
5/12
Answer:
terminating
repeating
terminating
repeating
Step-by-step explanation:
3/5 = 0.6 ; terminating
1/9 = 0.1111... ; repeating
7/10 = 0.7 ; terminating
5/12 = 0.41666666... ; repeating
What is 3000 times 1000?
Answer:
3000000
Step-by-step explanation:
:D
The equivalent value of the equation is A = 3000000
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be p = 3000
Let the second number be q = 1000
Now , A = pq
where A = 3000 x 1000
On simplifying the equation , we get
A = 3000 x 1000
So , the left hand side of the equation is equated to the right hand side by the value of ( 3000 x 1000 )
A = 3000000
Therefore , the value of A = 3000000
Hence , the expression is A = 3000000
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A very large book has pages numbered from 1 to 11521. How many times is the digit 3 printed? Helppp
Answer:
The total number of pages from page X to page Y is Y minus X plus 1.
So from 1 to 9, there are 9 minus 1 is 8 plus 1 is 9.
Step-by-step explanation:
A dolphin is at the surface of rhe water and then descends to a depth of 4 1/2 feet then the dolphin swims down another 2 3/4 feet what is the location of the dolphin relative to the surface of the water
Answer:
down 7 1/4 feet
Step-by-step explanation:
4 1/2 + 2 3/4 = 4 2/4 + 2 3/4 = (4+2) +(2/4 +3/4) = 6 +5/4 = 7 1/4
The dolphin is 7 1/4 feet below the surface.
Answer:
Step-by-step explanation:
URGENT NEED HELP
-3^3+square root of 21
Litterly tried everything can’t figure it out , even cried please help
then try -21.4 that should work
For a science experiment, Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment, Bobby dissolved 2.0 pounds of salt in 7.0 pints of water. Which person made a more concentrated salt solution? Explain. Use 1 L = 2.11 pints. Round your answer to the nearest hundredth.
Step-by-step explanation:
The concentration of Marcia's solution is:
1.0 kg / 3.0 L = 0.33 kg/L
The concentration of Bobby's solution is:
(2.0 lb × 1 kg / 2.2 lb) / (7.0 pints × 1 L / 2.11 pints) = 0.27 kg/L
Therefore, Marcia's solution is more concentrated.
Please help :D <3. Do not understand this one.
solve |-3d | =15 please lol
Answer:
[tex]d=-5 \text{ or } d=5[/tex]
Step-by-step explanation:
[tex]|-3d|=15\\\\-3d=15 \text{ or } -3d=15\\\\\frac{-3d=15 \text{ or } -3d=15}{-3}\\\\\boxed{d=-5 \text{ or } d=5}[/tex]
Hope this helps.
An angle measures 107.8° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
x=36.1
supplementary angle = 143.9 degrees
Step-by-step explanation:
angle: x
supplementary angle: 180-x
x = (180-x)-107.8
2x = 72.2
x = 36.1 degrees
180-x = 143.9 degrees
supplementary angle = 143.9 degrees
x measures 107.8 less than 180-x
x=180-x-107.8
x=72.2-x
Add x to both sides
2x=72.2
Divide both sides by 2
x=36.1
_________________________________
hope this helps, I just solved this so probably should get it fact checked.
What represents the area of a rectangle whose length is x − 6 and whose width is x − 8?
Answer:
Which of the following represents the area of a rectangle whose length is x - 6 and whose width is x - 8? A) x2- 14x - 48. B) x2+ 48. C) x2- 48. D) x2- 14x + 48 . and... for the first one multiply both out to get x^2-14x + 40 8 D 4(8x^3+a million) element out 4 utilising the x^3+y^3 formula, on (2x)^3 + a million^3)
Step-by-step explanation:
Which of the following options represents the graph of the function show above? f(x) = (x+3) ^3- 1
f(x) = (x-3) ^311
f(x) = (x-3)^3+ 1
f(x) = ( x + 3)^3+1
Answer:
C
Step-by-step explanation:
First, notice that this is a cubic function.
The standard form for a cubic function is:
[tex]f(x)=a(x-b)^3+c[/tex]
Where a is the vertical stretch, b is the horizontal shift, and c is the vertical shift.
From our graph, we can see that unlike the parent function, x³, this cubic is 3 units to the right and 1 unit up from the standard position.
Therefore, our b is +3 and c is +1. Let's substitute these values. Also, let's assume a is 1. So:
[tex]f(x)=(x-3)^3+1[/tex]
Therefore, our answer is C.
And we're done!
Please help me to prove this!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A = π - (B + C)
→ B + C = π - A
Use the Pythagorean Identity: cos² A + sin² A = 1 → sin² A = 1 - cos² A
Use Double Angle Identities: cos 2A = 2 cos² A - 1 → cos² A = (cos 2A + 1)/2
→ cos A = 1 - 2 sin² (A/2)
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]
Use Cofunction Identities: cos (π/2 - A) = sin (A)
sin (π/2 - A) = cos A
cos (-A) = cos (A)
Proof LHS → RHS:
[tex]\text{LHS:}\qquad \qquad \sin^2\bigg(\dfrac{B}{2}\bigg)+\sin^2 \bigg(\dfrac{C}{2}\bigg)-\sin^2\bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Pythagorean:}\qquad 1-\cos^2 \bigg(\dfrac{B}{2}\bigg)+1-\cos^2 \bigg(\dfrac{C}{2}\bigg)-\bigg[1-\cos^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1-\cos^2 \bigg(\dfrac{B}{2}\bigg)-\cos^2 \bigg(\dfrac{C}{2}\bigg)+\cos^2 \bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Double Angle:}\quad 1-\bigg(\dfrac{\cos(2\cdot \frac{B}{2})+1}{2}\bigg)-\bigg(\dfrac{\cos (2\cdot \frac{C}{2})+1}{2}\bigg)+\bigg(\dfrac{\cos (2\cdot \frac{A}{2})+1}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1-\dfrac{\cos B}{2}-\dfrac{1}{2}-\dfrac{\cos C}{2}-\dfrac{1}{2}+\dfrac{\cos A}{2}+\dfrac{1}{2}\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}[1-(\cos B+\cos C)+\cos A][/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\cos \bigg(\dfrac{B+C}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Given:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\cos \bigg(\dfrac{\pi -A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Cofunction:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Double Angle:}\qquad \dfrac{1}{2}\bigg[1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)+1-2\sin^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}\bigg[2-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)-2\sin^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1-\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin^2 \bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Factor:}\qquad \qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin \bigg(\dfrac{A}{2}\bigg)\bigg][/tex]
[tex]\text{Given:}\qquad \qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin \bigg(\dfrac{\pi -(B+C)}{2}\bigg)\bigg][/tex]
[tex]\text{Cofunction:}\qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)+\cos \bigg(\dfrac{B+C}{2}\bigg)\bigg][/tex]
[tex]\text{Sum to Product:}\ 1-\sin \bigg(\dfrac{A}{2}\bigg)\cdot 2 \cos \bigg(\dfrac{(B-C)+(B-C)}{2\cdot 2}\bigg)\cdot \cos \bigg(\dfrac{(B-C)-(B+C)}{2\cdot 2}\bigg)\\\\\\.\qquad \qquad \qquad =1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(-\dfrac{C}{2}\bigg)[/tex][tex]\text{Cofunction:}\qquad =1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{LHS = RHS:}\quad \checkmark\\\\\quad 1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)=1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)\quad[/tex]
Whenringingupacustomer,acashierneeds15secondstoprocesspaymentaswellas3secondstoscaneachitembeingpurchased.Ifittakes21secondstoringupacustomer,howmanyitemsarebeingpurchased?
Answer:
um, can you make that a bit clearer thanks! (:
Step-by-step explanation:
5. If x^1/2 =8, what is the value of x?
How many solutions does 6d+8=14+3d have?
Answer:
d =2
Step-by-step explanation:
6d+8=14+3d
Subtract 3d from each side
6d-3d+8=14+3d-3d
3d +8 = 14
Subtract 8 from each side
3d +8-8 = 14-8
3d =6
Divide by 3
3d/3 = 6/3
d =2
Need geometry help ASAP
Answer:
D. 82
Step-by-step explanation:
a^2 + b^2 = c^2
80^2 + 18^2 = c^2
324 + 6400 = c^2
6724 = c^2
82 = c
Christian's car used 15 gallons to travel 270 miles. How far can he travel on 11 gallons?
Answer:
198
Step-by-step explanation:
270/15 gives us 18, his miles per gallon. multiply that by 11, and you get 198.
A) The sum of 5 and 2 times p is at least 11.
5 + 2p is at least 11.
Subtract 5 from both sides.
2p is at least 11.
p > 5
Given: B is the midpoint of segment AC. AB = 3x - 1, BC = x +7
Find: The length of segment AC
22
02
011
Answer:
hope it helps
plz mark as brainliest
Length of [tex]\boldsymbol{AC}[/tex] is [tex]\boldsymbol{22}[/tex] units.
"To understand the calculation, check below."
Midpoint
The middle point of the a line segment is called the midpoint.
It's really the centroid of both segment and the ends, and it is equidistant from both.
It cuts the portion in half.
[tex]B[/tex] is the midpoint of [tex]
AC[/tex] [tex]\boldsymbol{AB=BC}[/tex][tex]3x-1=x+7[/tex] [tex]2x
AC=8[/tex] [tex]\boldsymbol{x=4}[/tex]
So,[tex]BC=4+7[/tex] [tex]=\boldsymbol{11}[/tex]
Therefore,[tex]AC=2BC[/tex] [tex]=2 \times 11\\=\boldsymbol{22}[/tex]Length of [tex]\boldsymbol{AC}[/tex] is [tex]\boldsymbol{22}[/tex] units.
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8. Mason bought a pair of running shoes for $36.98. If the sales tax is 6.5%, how much
did he pay in total?
Answer:
$39.38
Step-by-step explanation:
$36.98 * 6.5%= 2.4037
2.4037 + 36.98= 39. 3837
round up
$39.38
Answer:
39.38
Step-by-step explanation:
What is the area of this shape? Explain why?
Hi May I know how to solve this question
X divided by 11 equals 10 divided by 12 what’s x
Answer:
x/11 = 10/12
x = 10*11/12= 55/6
Step-by-step explanation:
[tex] \huge \pink {\tt { \frac{x}{11} = \frac{10}{12}}} [/tex]
By cross multiplication, we get
12x = 110
or, x = 110/12 = 55/6
Answer: x = 55/6True or false: To determine the absolute value of a number, you can count how many units it is from zero.
Answer:
True the absolute value is how many digits away the number is from zero.
Step-by-step explanation:
Morris borrowed $6 from his mother. so far, he has repaid $4. if debt is represented as a negative number, what number sentence shows the amount of jack's remaining dept.?
if it was negitive I would be -2
Step-by-step explanation:
so 6-4=2 and if you make that negative it would be -2
Answer:
-$6 + $4 = -$2
Step-by-step explanation:
Since Morris borrowed 6 dollars to begin with, the first term in my equation is -6$, representing the debt he has incurred from taking a loan of 6 dollars from his mother. After paying $4 dollars, he would still be in debt of $2 to his mother. Since he is still in debt of 2 dollars, the furthest right term in my aforementioned equation is -$2.
which diagram show lines that must be parallel lines cut by a transversal
Answer: hope i helped with this answer~
Step-by-step explanation:
The fourth diagram show lines that must be parallel lines cut by a transversal
What is Straight line?A line is an infinitely long object with no width, depth, or curvature.
Parallel lines refers to two lines which can be found on the same plane, at an equidistance and does not meet.
A transversal is defined as a line that passes through two lines in the same plane at two distinct points in the geometry.
The fourth diagram has two same-side interior angles that are supplementary (add to 180°).
The converse of the same-side interior angle theorem states that if two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel.
Hence, the fourth diagram show lines that must be parallel lines cut by a transversal
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what is (3x – 2)(4x + 1) =
Answer:
[tex]12x^{2} -5x -2[/tex]
Step-by-step explanation:
We multiply the first term 3x by 4x and then 3x multiplied by one. We proceed to multiply by -2 by 4x and multiplied by -2 +1. We finally add and get the result.
[tex]12x^{2} -5x -2[/tex]
How do you solve 2 1/3 + 5y = 4
Answer:
Not sure but that's my answer