Answer:
Simplifying
7 + -1(4p + 3) = -3(p + 2) + -1(2P + 3)
Reorder the terms:
7 + -1(3 + 4p) = -3(p + 2) + -1(2P + 3)
7 + (3 * -1 + 4p * -1) = -3(p + 2) + -1(2P + 3)
7 + (-3 + -4p) = -3(p + 2) + -1(2P + 3)
Combine like terms: 7 + -3 = 4
4 + -4p = -3(p + 2) + -1(2P + 3)
Reorder the terms:
4 + -4p = -3(2 + p) + -1(2P + 3)
4 + -4p = (2 * -3 + p * -3) + -1(2P + 3)
4 + -4p = (-6 + -3p) + -1(2P + 3)
Reorder the terms:
4 + -4p = -6 + -3p + -1(3 + 2P)
4 + -4p = -6 + -3p + (3 * -1 + 2P * -1)
4 + -4p = -6 + -3p + (-3 + -2P)
Reorder the terms:
4 + -4p = -6 + -3 + -2P + -3p
Combine like terms: -6 + -3 = -9
4 + -4p = -9 + -2P + -3p
Solving
4 + -4p = -9 + -2P + -3p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '3p' to each side of the equation.
4 + -4p + 3p = -9 + -2P + -3p + 3p
Combine like terms: -4p + 3p = -1p
4 + -1p = -9 + -2P + -3p + 3p
Combine like terms: -3p + 3p = 0
4 + -1p = -9 + -2P + 0
4 + -1p = -9 + -2P
Add '-4' to each side of the equation.
4 + -4 + -1p = -9 + -4 + -2P
Combine like terms: 4 + -4 = 0
0 + -1p = -9 + -4 + -2P
-1p = -9 + -4 + -2P
Combine like terms: -9 + -4 = -13
-1p = -13 + -2P
Divide each side by '-1'.
p = 13 + 2P
Simplifying
p = 13 + 2P
Step-by-step explanation:
Matt has 2/3 yard of fishing line. He uses 3/8 to make fishing knots. Shade the model to show the amount of line that Matt uses to make fishing knots?
Answer:
1/4 yards was to make fishing knot
Step-by-step explanation:
Given that :
Yards of fishing line = 2/3
Fraction used to make fishing knot = 3/8
Amount of yards used to make fishing knot;
3/8 of the number of yards was used to make fishing knot.
(3/8) of 2/3)
(3/ 8) * (2 /3)
6 / 24
= 1 / 4 yards
here is a list of four fractions 1/16 2/8 15/60 3/9
one of these are not equivalent to 1/4
write down this fraction
Answer:
3/9
Step-by-step explanation:
15*4= 60 so 15/60 is equivalent to 1/4.
1/16 is just a smaller equivalent of 2/8 which is just a smaller equivaent of 1/4.
3/9 simplified is 1/3. I/s is bigger than 1/4.
Hope this helps
Answer:
3/9
Step-by-step explanation:
[tex]\frac{1}{4}\cdot\frac{4}{4}=\frac{4}{16}\\\\\frac{1}{4}\cdot\frac{2}{2}=\frac{2}{8}\\\\\frac{1}{4}\cdot\frac{15}{15}=\frac{15}{60}[/tex]
We can turn 1/4 into all of the first three fractions by multiplying it by some version of 1, but we can't do the same for 3/9: trying to multiply 1/4 by 3/3 will get us a different fraction: 3/12. Additionally, 3/9 in lowest form is 1/3, and 1/3 is clearly not equal to 1/4.
Determine the geometric mean of 45 and 15
The solution is, The geometric mean of 45 and 15 is 25.98.
What is geometric mean?The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values.
here, we have,
We are given two numbers as 45 and 15.
Formula for geometric mean is
G.M = √x₁ × ... × xₐ
So, using this we get
⇒G.M = √45 × 15
⇒G.M = √675
⇒G.M = 25.98
Hence, the geometric mean of 45 and 15 is 25.98.
Learn more about geometric mean from the given link
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y’all be smart ash what the-
Answer:
D
Step-by-step explanation:
When in doubt choose D
Answer:
D
Step-by-step explanation:
The other dude is wrong, you have to plug in the domain to find the range.
Cómo simplifico [tex]x^{2} -2[/tex] ???
Answer:
x = -1
Step-by-step explanation:
you try to get x by itself in this case I devided x/2 and -2/2
A professor wants to divide the remaining 3/4 of the semester evenly into six different units. What fraction of the semester should be spent on each unit?
Answer:
Each of these courses will take up 1/8 of the total semester.
Step-by-step explanation:
From the question, we can see that the semester is remaining 3/4 of the total duration.
we will be sharing that 3/4 into 6 places for each course. Next, we will be relating this to the total time we had for the whole semester initially.
3/4 divided by 6 = 1/8
From this, we can see that each of these courses will take up 1/8 of the total semester.
12t - 4-7t = 5t-4
a. No solution
b. One solution
c. Two solutions
d. Infinitely many solutions
Answer:
infinitely many solutions
Step-by-step explanation:
12t-5t=7t-7t=0=-4t=-4, 4+-4=0 so 0=0
2) Find the missing measure. Show your work.
X =
130°
Answer:
The missing angle I believe is 25%.
Step-by-step explanation:
180-130=50
Divide 50 by 2 and it equals 25. 25 degrees for each angles.
Answer:25
Step-by-step explanation:
alright so the triangle theorem states that all of the angles of a triangle add up to 180. we already of 130 so we take away 130 from 180 to get 50. If you see the two little lines on the triangles sides opposite of the two angles that we are missing then you can tell by those lines that the angles opposite of them are equal to each other. So you divide 2 from 50 to get 25 which is the value of x. Hope you understand this (:
Determine which expression has the greatest value.
A.
18
B.
25
C.
33
D.
52
Solve the right triangle. Round your answers to the nearest tenth place.
Answer:
for ac I got 11
ab i got 14
I'm not quite sure tho
but you could use SOH CAH TOA to find ab then use Pythagoras theorem to find AB
Answer:
AB = 11.6 inches
AC = 7.3 inches
m∠B = 39°
Step-by-step explanation:
To calculate side AB (c) put b (9 inches) over the sine of β (51°).
c = 9/sin(51)
The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle (the hypotenuse). This would be about 0.777.
c = 9/0.777
I recommend using a fraction here. 0.777 becomes 777/1000. Find the reciprocal (1000/777). Switch the sign to multiplication.
c = 9/1 * 1000/777
Cross cancel if needed.
c = 3/1 * 1000/259
Now multiply.
c = 3000/259
Divide 3000 by 259.
c ≈ 11.5830116 inches ≈ 11.6 inches
Now we know AB. To find AC, find the square root of AB² - BC².
AC = √(11.6² - 9²)
Square both 11.6 and 9.
AC = √(134.56 - 81)
Add 134.56 and 81 to get 53.56
AC = √53.56
Find the square root of 53.56
AC ≈ 7.31846979 ≈ 7.3 inches.
Finding the measure of angle B is comparatively simple. Subtract 51 from 90 to get 39° for angle B.
What is the area of the irregular polygon QUART?
Help pls 6th grade math i will give brainliest
Answer:
G.
Step-by-step explanation:
It doesn't matter if you switch what is inside the parentheses, as long as you don't put it outside or switch around the equation.
(hope this helps!)
Find AD.
B
A
13x – 4
D
8x + 11
Answer:
Step-by-step explanation:
13x-4 = 8x+11
13x-4 = 8x+11
-8x -8x
5x-4=11
+4 +4
5x=15
/5 /5
x=3
Plug it in...
13(3) -4
39-4
=35
The value of AD is: AD = 35.
Here, we have,
from the given figure, we get,
both the triangles are similar to each other.
so, we have,
AD = DC
i.e.
13x-4 = 8x+11
To solve the equation 13x - 4 = 8x + 11, we need to isolate the variable x on one side of the equation.
Here are the steps:
Start by moving the terms with x to one side of the equation.
We can do this by subtracting 8x from both sides:
13x - 8x - 4 = 8x - 8x + 11
Simplifying the left side:
5x - 4 = 11
Next, move the constant term (-4) to the other side by adding 4 to both sides of the equation:
5x - 4 + 4 = 11 + 4
Simplifying:
5x = 15
To isolate x, divide both sides of the equation by the coefficient of x, which is 5:
(5x)/5 = 15/5
Simplifying:
x = 3
Therefore, the solution to the equation 13x - 4 = 8x + 11 is x = 3.
so, we get, x = 3
Plug it in AD, we have,
13(3) -4
=39-4
=35
Hence, The value of AD is: AD = 35.
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Which relation is not a function
Answer:
B
Step-by-step explanation:
Let g(x) vertical shift of f(x)=-x up 3 units followed by a vertical stretch by a factor of 4. Write the rule for g(x).
Given:
g(x) vertical shift of [tex]f(x)=-x[/tex] up 3 units followed by a vertical stretch by a factor of 4.
To find:
The rule for g(x).
Solution:
We have,
[tex]f(x)=-x[/tex]
This function shifts 3 units up. So,
[tex]f(x)+3=-x+3[/tex]
This function vertical stretch by a factor of 4. So,
[tex]g(x)=4(f(x)+3)[/tex]
[tex]g(x)=4(-x+3)[/tex]
[tex]g(x)=-4x+12[/tex]
Therefore, the rule for g(x) is [tex]g(x)=-4x+12[/tex].
Please help I’m so bad at this :/
Answer:
3a+33
Step-by-step explanation:
Add 2a+1 to a+32
7 = 3(5+X) X = _?_
Answer:
-8/3
Step-by-step explanation:
7=3(5+X) = 3(5=X)=7 3(5+x) divided by 3 is 7/3 5+x=7/3 5+x-5=7/3 -5 so x=-8/3
how do i solve 4=v+5/3
Answer:
= 7
Step-by-step explanation:
switch sides
v+5/3 =4
multiply both sides by 3
3(v+5)/3=4 times 3
simplify
v+5=12
subtract 5 from both sides
v+5-5=12-5
simplify
v=7
The side lengths 10, 14, and 15 form a triangle. Explain why.
Answer:
Therefore, the side lengths 10, 14, and 15 form a triangle.
Step-by-step explanation:
The Triangle Inequality Theorem defines that if we are given the three sides of a triangle, then the sum of any 2 sides of a triangle must be greater than the measure of the third side of the triangle.
The three conditions that need to be met for any triangle with the side lengths A, B, and C.
[tex]A + B > C[/tex]
[tex]B + C > A[/tex]
[tex]A + C > B[/tex]
Given the side lengths of a triangle
101415Let us check whether it satisfies the three conditions.
10+15 > 14 → TRUE
10+14 > 15 → TRUE
14+15 > 10 → TRUE
As all the conditions are met. Therefore, the side lengths 10, 14, and 15 form a triangle.
A line that models the data is given by the equation
y= 1.62x + 18 , where y represents the wait time,
and x represents the number of staff available.
The slope of the line is -1.62. What does this mean in
this situation?
Answer:
Kindly check explanation
Step-by-step explanation:
Give the line of best fit :
y = 1.62x + 18 ; where ;
y = wait time ; x = number of staffs available
If slope of the line is -1.62.
The slope of linear graph represents the ratio of change in the y variable and the x variable. With a slope value of - 1.62, the rate of change is negative and thus an increase in x will lead to a decrease in y. This means that for every unit increase in the number of staffs, the wait time reduces at a rate of 1.62 per unit.
1/5 x 1/2 *
mark you brainlyest
The answer will be 1/10. First you will change the denominator to the same number because you can’t mutiply fractions if the denominator is different. 5x2=10 and 2x5=10. So both of the denominator will turn into a 10. Now you’ll have to find the numerator. For the first one, multiply it by 2 because that how much the number need to turn equalvilant for the denominator. 1x2=2. So now you know that the first fraction is 2/10. Then you multiply 1 with 5 which is 5. Now the numbers all have the same denominator. Multiply 2/10 and 5/10 which is 1/10.
HELP!!
Ann works 3.5 hours per day 3 days per week. If Ann
earns $6.50 per hour, how much money will she earn
during a 7-week period?
F. $487.25
G. $477.75
H. $432.25
J. $144.00
K. $123.50
Answer:
G. 477.75
Step-by-step explanation:
4x + y = 24
y=-4x+24
Substitution
Step-by-step explanation:
4x -24=-y
-24-4x=y
then do calculation
Answer:
infinite solutions
Step-by-step explanation:
substitute y in the first equation
4x+(-4x+24)=24
4x and -4x cancel out
24/24=1
or solve for x, you should also get 1
therefore, infinite solutions. you can also try using a graphing calculator
Help please this is urgent!!! Worth a lot of points and if you answer all and they ere right u will get 5 stars and brainlyest!!! Please helppp!!!!!
In the following image, is parallel to , and is a transversal intersecting both parallel lines.
and the angle marked q° are angles.
The angles marked p° and q° are
The angle marked p° and are angles.
The angles marked q° and n° are angles.
The angles marked n° and m° are angles.
the answers for all of them are one of these
supplementary
corresponding
complementary
vertical
Ad number three for and five have adjacent as an answer. try to answer all please
Answer:
1: corresponding
2: supplementary
3: complementary
4: vertical
Step-by-step explanation:
Answer:
1: corresponding
2: supplementary
3: complementary
4: vertical
Step-by-step explanation:
Missy's rotation maps point K(17,-12) at K(12,17) which describes to the rotation
Answer:
90 degree counter clockwise rotation.
Answer:
90 degree counter-clockwise rotation.
Solve for x :
0.4 ( 2 – 4) +0.6x = 1.4
A. x = 2
В.x = 5.4
c.x = -0.2
D.x = 3
will anyone pls help meh ^^
Answer:
( E ) = 18x
Step-by-step explanation:
According to question,
2/3 ( E ) = 12x [ Here expression is ( E ) ]
2 ( E ) = 36x
( E ) = 36/2 x
( E ) = 18x
Hope it helps.......
2. Katryn swims at a rate of 50 meters in 40 seconds. At this rate, how many meters
can she swim in 1 minute?
a. 1.25 meters
b. 60 meters
c. 70 meters
d. 75 meters
Answer:
D.) 75 meters
Step-by-step explanation:
1 minute is 60 seconds
So, you divide 60 divided by 40=1.5
1.5 times 50=75
75 meters
D.)
Hope this helped!! :)
Brainliest?!?!
Stay safe and have a nice day/night/afternoon!!!
Determina la pendiente y el ángulo de la recta tangente a la función f(x)=x2-8x+16 en el punto a(6,4)
Answer:
[tex]4[/tex]
[tex]75.96^{\circ}[/tex]
Step-by-step explanation:
La función es
[tex]f(x)=x^2-8x+16[/tex]
La derivada de la ecuación nos da la tangente
[tex]f'(x)=2x-8[/tex]
El punto es [tex](6,4)[/tex]
Entonces en [tex]x=6[/tex]
[tex]f'(6)=2\times 6-8=4[/tex]
La pendiente de la tangente es [tex]4[/tex].
El ángulo de la pendiente está dado por
[tex]\tan\theta=m\\\Rightarrow \theta=\tan{-1}m\\\Rightarrow \theta=\tan^{-1}4\\\Rightarrow \theta=75.96^{\circ}[/tex]
El ángulo que forma la tangente con el eje x positivo es [tex]75.96^{\circ}[/tex]
please help :c
the first word is find
Answer:
The values of [tex]r_{2}[/tex] and [tex]\alpha_{2}[/tex] are 2 and 150º.
Step-by-step explanation:
The complete statement is:
Find [tex]\alpha_{2}[/tex] and [tex]r_{2}[/tex] such that [tex]\sin \theta - \sqrt{3}\cdot \cos \theta = r_{2}\cdot \cos (\theta - \alpha_{2})[/tex].
We proceed to use the following trigonometric identity:
[tex]\cos (\theta - \alpha_{2}) = \cos \theta \cdot \cos \alpha_{2} +\sin \theta \cdot \sin \alpha_{2}[/tex] (1)
[tex]\sin \theta -\sqrt{3}\cdot \cos \theta = r_{2}\cdot \cos \theta \cdot \cos \alpha_{2}+r_{2}\cdot \sin \theta \cdot \sin \alpha_{2}[/tex]
By direct comparison we derive these expressions:
[tex]r_{2}\cdot \sin \alpha_{2} = 1[/tex] (2)
[tex]r_{2}\cdot \cos \alpha_{2} = -\sqrt{3}[/tex] (3)
By dividing (2) by (3), we have the following formula:
[tex]\tan \alpha_{2} = -\frac{1}{\sqrt{3}}[/tex]
[tex]\tan \alpha_{2} = -\frac{\sqrt{3}}{3}[/tex]
The tangent function is negative at second and fourth quadrants. That is:
[tex]\alpha_{2} = \tan^{-1} \left(-\frac{\sqrt{3}}{3} \right)[/tex]
There are at least two solutions:
[tex]\alpha_{2,1} = 150^{\circ}[/tex], [tex]\alpha_{2,2} = 330^{\circ}[/tex]
And the value of [tex]r_{2}[/tex]:
[tex]r_{2}^{2}\cdot \sin^{2}\alpha_{2} + r_{2}^{2}\cdot \cos^{2}\alpha_{2} = 4[/tex]
[tex]r_{2}^{2} = 4[/tex]
[tex]r_{2} = 2[/tex]
The values of [tex]r_{2}[/tex] and [tex]\alpha_{2}[/tex] are 2 and 150º.