Porque Las expresiones algebraicas son combinaciones de variables , números, y por lo menos una operación aritmética.Para evaluar una expresión algebraica, reemplace la variable o variables con valores conocidos y luego utilice el orden de las operaciones .Para su conveniencia, puede usar paréntesis cuando introduzca valores negativos en las variables.
ENGLISH:
Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation.
To evaluate an algebraic expression, replace the variable(s) with known values and then use the order of operations.
For your convenience, you can use parentheses when entering negative values in variables.
To identify the density of a figurine made using an unknown material, the figurine is dropped into a basin filled with water and found to displace 184.8 mL of water. The figurine is then put on a scale and found to be 3.8 pounds in weight. What is the density of the material that this figurine was made from in pounds/inch^3? (Note: 1 mL = 0.0610237 inch^3
Step-by-step explanation:
here you go hopw it helps you
Need help asap thanks
Hey there!
Answer :[tex] \displaystyle{ \red{ \boxed{ \green{ \bold{m = - 1}}}}}[/tex]
[tex] \\ [/tex]
Explanation:To find the slope of a line using two points [tex] \displaystyle{(x_1 , y_1)} [/tex] and [tex] \displaystyle{(x_2 , y_2)} [/tex] , we can use the slope formula.
This formula corresponds to the quotient of the change in y [tex] \: [/tex] over [tex] \: [/tex] the change in x :
[tex] \displaystyle{m = \frac{ \blue{y_2} - \orange{y_1}}{ \green{x_2} - \red{x_1} }}[/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow [/tex] We are given the points (-2 , 3) and (-5 , 6) where:
[tex] \red{x_1} [/tex] = -2 [tex] \orange{y_1} [/tex] = 3[tex] \green{x_2} [/tex] = -5[tex] \blue{y_2} [/tex] = 6[tex] \\ [/tex]
[tex]\displaystyle{ \hookrightarrow m = \frac{\blue{6} - \orange{3}}{\green{-5} - \red{(-2)}}} \\ \\ \displaystyle{\implies m=\frac{3}{-3}} \\ \\ \displaystyle{\purple{\implies} \boxed{\bold{m=-1}}}[/tex]
Therefore, the slope of the line is -1.
[tex] \\ [/tex]
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A rectangle has sides measuring (12x - 2) units and (x + 8) units.
Part A: What is the expression that represents the area of the rectangle? Show your work. (5 points)
Part B: What is the expression that represents the perimeter of the rectangle? Show your work. (5 points)
Part C: What are the degree and classification of the expression obtained in Part A? (3 points)
The area equation is:
A = (12x - 2)*(x + 8)
Which is a polynomial of degree 2, and the perimeter is:
P = 26x + 12
How to write the area of the rectangle?
Remember that for a rectangle of length L and width W, the area is written as:
A = L*W
Here we know that:
L = (12x - 2)
W = (x + 8)
Then the equation for the area is:
A = (12x - 2)*(x + 8).
How to write the perimeter?For a rectangle of length L and width W, the perimeter is:
P = 2*(L + W).
Replacing what we know, we get:
P = 2*(12x - 2 + x + 8) = 2*(13x + 6) = 26x + 12
What are the degree and classification of the area equation?The area equation is:
A = (12x - 2)*(x + 8).
Notice that this is a polynomial that is made of the product of two polynomials of degree 1, so this is a polynomial of degree 2.
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Can someone please help me with this
Answer:
First step, find the missing angle (you will need this later on)
We know that the sum of all angles in a triangle equals to 180°, so
180° - 65° - 40° = 75° *that's your angle (next to the point L)
Now, identify each side (as shown in my drawing attached to this message)
The law of sines tells us that
(for example) the side opposite to L (highlighted in pink in the drawing) divided by the sine of the angle at the point L (in our case, 75°) creates a ratio that remains the same for the other sides.
So,
pink side (opposite to L)/ sin 75 (angle at L) = yellow side (opposite to J)/ sin 65 (angle at J) = blue side (opposite to K)/ sin 40 (angle at K)
*Careful, since we were not given the length of one side, you cannot find actual values for each side. Although, you can use the law of sines to logically find out which length is the longest and which one is the shortest.
*Notice that the sine of the angle relates to the length of the coloured sides
Calculate the following: sin 75, sin 40, sin 65.
Once you do that, you will realize that sin 40 = to the smallest value and that sin 75 gives you the largest value.
Thus, sin 40 < sin 65< sin 75
Which corresponds to (from smallest to largest):
blue side, yellow side, pink side
*Now, write your answer in a mathematical format (using J,L,K points)
blue = JL (explanation: it connects the two points, LJ is also a valid answer)
yellow = LK
pink= JK
ANSWER: JL, LK, JK
Step-by-step explanation:
Use the Law of Sines *because you don't have a right angle triangle.
What is the discriminant of the quadratic equation 2x + 5x = 1?
0-18
0-16
022
24
The discriminant of the quadratic equation 2x + 5x2 = 1 is 24.
--
Use this formula
b²-4acPlug in
You get 24
Answer:
24
Step-by-step explanation:
Discriminant
b² - 4ac (when ax² + bx + c = 0)
Assuming the given equation is: 2x + 5x² = 1
Rewrite the equation so that it equals zero:
⇒ 5x² + 2x - 1 = 0
Therefore, a = 5 b = 2 c = -1
Input these into the discriminant formula and solve:
⇒ 2² - 4(5)(-1) = 4 + 20
= 24
Therefore, the discriminant of the quadratice equation is 24.
Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. (x, y) = (−2, 10) and (x, y) = (4, −8) are points on the line
♪ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ♪
[tex]\textsc{heya!}[/tex]
☑︎ what we need to do:
find the equation of the line☑︎ what we are provided with:
two points on this line[tex]\textsc{solution:}[/tex]
equation: y=-3x+4[tex]\textsc{explanation:}[/tex]
first, these are the points on our line:
• (-2, 10) • (4, -8)
what we need at this moment is the gradient (slope) of the line.
remember, there's a little formula that will help us find the gradient:
[tex]\large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]
our values are:
• (-2, 10) and (4, -8)
after substituting the values into the above formula, we obtain
[tex]\large\text{$\displaystyle\frac{-8-10}{4-(-2)}$}[/tex]
after simplifying, we obtain
[tex]\large\text{$\displaystyle\frac{-18}{4+2}$}[/tex]
simplifying more,
[tex]\large\text{$\displaystyle\frac{-18}{6}$}[/tex]
dividing,
[tex]\large\text{$-3$}[/tex]
but that's only part of our problem. we need to find the equation, and we have the gradient only.
let's use the first point in our equation
• (-2, 10)
[tex]\large\text{$y-y_1=m(x-x_1)$}[/tex]m is the gradient.
this is what we obtain after substituting the values
[tex]\large\text{$y-10=-3(x-(-2)$}[/tex]
simplifying
[tex]\large\text{$y-10=-3(x+2)$}[/tex]
simplifying more
[tex]\large\text{$y-10=-3x-6$}[/tex]
moving 10 to the right side
[tex]\large\text{$y=-3x-6+10$}[/tex]
and finally
[tex]\large\text{$y=-3x+4$}[/tex]
[tex]\textsc{hopefully\:helpful}[/tex]
by: • [tex]\textsc{$d^an_ci^ng$}[/tex]
[tex]\textsc{have\:a\:great\:rest\:of\:your\:day\:ahead!}[/tex]
This figure represents a small keepsake box. Holly wants to cover 35 of the surface with stickers.
How much of the total surface will be covered with stickers?
Enter your answer as a decimal or mixed number in simplest form in the box.
The amount of the surface area covered with stickers is 0.6 or 60%
How to determine the covered area?The amount of area to cover is given as:
Covered area = 3/5
Express as percentage
Covered area = 3/5 * 100%
Divide 3 by 5
Covered area = 0.6 * 100%
Evaluate the product
Covered area = 60%
Hence, the amount of the surface area covered with stickers is 0.6 or 60%
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Answer:
135.93
Step-by-step explanation:
I took the test
The diameter of the circle above is 26 in. What is the circumference of the circle? Use = 3.14.
Circumference = 275
A.40.82 in
В.530.66 in
C.81.64 in
D. 1,061.32 in
Answer:
C
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr = πd ( d is the diameter and d = 2r ) , then
C = πd = 3.14 × 26 = 81.64 in
Jack's bicycle has a mass of 9 kilograms. What is the
mass of Jack's bicycle in grams?
Answer:
9000 grams
Step-by-step explanation:
1 kg = 1000 g
1 * 9 kg = 1000 * 9 g
9 kg = 9000 g
URGENT!!
Statement:
All integers are irrational numbers.
True or False?
No whole numbers are irrational numbers.
True or False?
Some rational numbers are not integers.
True or False?
Some integers are not whole numbers.
True or False?
Answers:
FalseTrueTrueTrue====================================================
Explanations:
Any integer is rational. For instance, the integer 7 can be written as 7/1 which is a ratio or fraction of integers. Or we could say 14/2 or 21/3 if you wanted to get a bit creative. Since any integer is rational, this means it cannot be irrational. A real number is either rational or irrational. It cannot be both. The name "irrational" literally means "not rational". This is why statement 1 is false.The claim "no whole numbers are irrational numbers" is a true statement because any whole number is rational (for very similar reasoning as explained in statement 1 above), which means it's not possible for a whole number to be irrational.A rational number like 2/3 is not an integer. A quick way to check is to note that 2/3 = 0.67 approximately. Whole numbers and integers do not have any decimal portion to them. We have confirmed statement 3 is true.The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} while the whole numbers is the set {0, 1, 2, 3, ...}. The key difference is that integers involve negative values. Whole numbers do not have negative values. Something like -7 is an integer, but it is not part of the set of whole numbers. Statement 4 is true because of this.please help will mark Brainliest!!
[tex]~~~~~~x+80^{\circ} = 180^{\circ}\\\\\implies x = 180^{\circ} - 80^{\circ}\\\\\implies x = 100^{\circ}[/tex]
help me with this for 50 points.
Answer:
1/2 or 1:2
Step-by-step explanation:
3 circles to 6 squares
3/6 simplified is 1/2
Find the fourth derivative of f(x)=3^x+ln(x)-108x. f(4)(x)=
[tex]f(x) = 3^x + \ln x -108 x\\\\f'(x) = 3^x \ln 3 + \dfrac 1x - 108\\\\f''(x) = 3^x \cdot 0+ \ln 3\cdot 3^x\cdot \ln (3)-x^{-1-1}-0= 3^x \cdot \ln^2 3 -x^{-2}\\ \\f'''(x) = 3^x \cdot 0 + \ln^2 (3) \cdot 3^x \cdot \ln (3) +2x^{-2-1} = 3^x \ln^3 (3)+2x^{-3}\\\\f''''(x) = 3^x \cdot 0 + \ln^3 (3) \cdot 3^x \ln(3) -3\cdot 2 x^{-3-1} = 3^x\ln^4 (3)-6x^{-4} \\\\\text{Hence the fourth derivative of f(x) is}~~ 3^x\ln^4 (3)-6x^{-4}.\\\\[/tex]
[tex]\textbf{Note:}\\\\\dfrac{d}{dx}(uv) = u \dfrac{dv}{dx} + v\dfrac{du}{dx}\\\\\dfrac{d}{dx} \ln (x) = \dfrac 1x\\\\\dfrac{d}{dx} a^x = a^x \ln a\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} (\text{Constant}) = 0[/tex]
The ratio of cats to dogs at the veterinarian is 21:39. What percent of the total animals are cats?
Answer:
35%
Step-by-step explanation:
Assuming that there are no other animals in the vet other than dogs and cats, that means the total amount of animals is 21 + 39, which is 60 animals. To find the percent of cats, simply place the number of cats based on the ratio (21) over the total number of animals (60) and multiply by a 100:
21/60 = 0.35
0.35 x 100 = 35%
Hope this helps!!
Answer:
35%.
Step-by-step explanation:
Fraction that are cats = 21 / (21+39)
= 21/60
= 100 * 21/60
= 35%.
Please help, I'm so confused with this. Attached is a picture
Answer:
Interquartile Range
Step-by-step explanation:
The answer is the interquartile range because there is an outlier.
The data has an extreme value, of 62, so the IQR is most appropriate for this data set. The only other time the IQR is appropriate is when the data is skewed.
Question 4 of 10
If a tree diagram were drawn to determine the number of possible outcomes
when choosing one of 3 salads, one of 5 entrées, and one of 9 desserts, how
many leaves would there be?
O A. 17
OB. 45
C. 135
Please help me my friends
What is the perimeter of this rectangle?
The length and width of the rectangle will be √68 and √17. Then the perimeter of the rectangle will be 2 (√17 + √68).
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The graph is shown below.
Then the perimeter of the rectangle will be
P = 2 (length + width)
The length of the rectangle will be
L² = 2² + 8²
L² = 4 + 64
L² = 68
L = √68
The width of the rectangle will be
W² = 1² + 4²
W² = 1 + 16
W² = 17
W = √17
Then the perimeter will be
P = 2 (√17 + √68)
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The linear inequality y <-2/3+ 2 is graphed. Which is a solution for the inequality
Answer:
C. (0;0).
Step-by-step explanation:
(0;0) only.
if to substitute the given coordinates into the given inequality and calculate the result, then the left side equals to the right side. Except (0;0).
10. The following measurements from yaw marks left at the scene of an accident were taken by law
enforcement officers. Using a 31-ft-long chord, the middle ordinate measured approximately 3
ft. The drag factor for the road surface is 1.02.
a. Determine the radius of the yaw mark to the nearest tenth of a foot.
1
Determine the minimum snood that it
The radius of the yaw mark to the nearest tenth of a foot is 11.2 ft
The minimum speed 11.1634 miles per hour.
What is Yaw mark?Yaw marks are always curved. They are, initiated by a steering input. They're what's left from a tire that is still rolling but is simultaneously sliding laterally.
The formula for determining radius from a chord and middle ordinate is
[tex]r^{2}= \frac{c^{2}}{8m}+\frac{m}{2}[/tex]
To find the radius of the yaw mark, we have to use the formula
[tex]r^{2}= \frac{c^{2}}{8m}+\frac{m}{2}[/tex]
where c is the length of the chord and m is the middle ordinate
As the tires leave a yaw mark with a 31 foot chord and a middle ordinate of 3 feet.
So,
[tex]r^{2}= \frac{31^{2}}{8*3}+\frac{3}{2}[/tex]
[tex]r^{2}= 40.041 +1.5\\r^{2}=41.541[/tex]
Now to find the minimum speed, we are going to use the formula: [tex]s=\sqrt{15fr}[/tex]
where 'f' is drag factor and 'r' is the radius
drag factor is 0.2, f=0.2
and r= 41.541 ft
So, [tex]s=\sqrt{15* 0.2*41.541}\\s=\sqrt{124.623}\\s= 11.1634 mph[/tex]
The minimum speed before the brakes are applied was 11.1634 miles per hour.
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Find the value of y that satisfies the given conditions. Then graph the line on a separate sheet of paper. The line containing (−4, 9) and (4, 3) is parallel to the line containing (−8, 1) and (4, y).
Answer:
so first do nothing and just fail health class
The value of y that satisfies given conditions is y = - 8.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
We also know that slope(m) = (y₂ -y₁)/(x₂ - x₁).
So, lines parallel to each other have the same slope hence to find the value of y we'll equate their slopes.
∴ (3 - 9)/(4 + 4) = (y - 1)/(4 + 8).
-6/8 = (y - 1)/12.
-3/4 = (y - 1)/12.
-36/4 = y - 1.
- 9 = y - 1.
y = - 8.
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please answer this question
A marble is 2 centimeters long. A rock is 75% longer than the marble. How long is the rock?
Answer:
3.5 centimeters
Step-by-step explanation:
75% of 2 cm = .75 x 2 = 1.5 cm
2 cm + 1.5 cm = 3.5 cm
A regular-size box of dog treats measures 314 inches by 712 inches by 12 inches. The manufacturer also sells a small-size box that has a volume that is 310 of the volume of the regular-size box.
What is the volume of the small-size box of dog treats?
Enter your answer as a mixed number in simplest form by filling in the boxes.
(its going to be a mixed number) in³
The volume of the small-size box of dog treats will be equal to V=8654.24 In³
What is volume?Volume is defined as the space occupied by any body in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid
The volume of the rectangular box will be:-
V=LxWxH
V=314x712x12
So the volume of small size box will be:-
V=2682816÷310=8654.24
Hence the volume of the small-size box of dog treats will be equal to
V=8654.24 In³
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Look at the street map. What street intersects with Polk Street?
A. Union Street
B. Church Street
C. Geary Street
D. Fulton Blvd.
Answer:
Geary street :D
they intersect here
click on the photo. it's not a link it's a screenshot of where they intersect
Bao owns a small business selling used books. She knows that in the last week 60 customers paid cash, 3 customers used a debit card, and 27 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a fraction in simplest form.
Answer:
It would be a 3/10 or 30% chance.
Answer:
Step-by-step explanation:
3/10 or .30 or30%
A quarterback is standing on the football field preparing to throw a pass. His receiver is standing 20 yards down the field and 15 yards to the quarterback’s left. The quarterback throws the ball at a velocity of 60 mph towards the receiver at an upward angle of 30° (see the following figure). Write the initial velocity vector of the ball ⃑ , in component form.
Answer:
I did the work and uploaded the answer as a picture for you
I hope it was helpful!!
Step-by-step explanation:
Pls help me with this
Let's find the area!!
«------«----------»----------»
2 × 5 + 2 × 5 + 3 × 210 + 10 + 620 + 626«------«----------»----------»
Therefore, your answer is D. 26cm^2!!!!!
By cross multiplication find x and y if
ax + by = a² + b² and bx - ay = 0
[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]
x = a and y = b
Step-by-step explanation:
To findThe value of x and y
⠀
Givenax + by = a² + b² (equation 1)
bx - ay = 0 (equation 2)
⠀
Solution{Taking equation 2}
[tex] \sf bx - ay = 0 [/tex]
{Taking ay on RHS}
[tex] \sf bx = ay[/tex]
{Dividing both sides by a}
[tex] \sf \frac{bx}{a} = y(equation \: 3)[/tex]
{Now substituting the equation 3 in equation 1}
[tex] \sf ax + b( \frac{bx}{a} ) = {a}^{2} + {b}^{2} \\ \\ \sf ax + \frac{ {b}^{2} x}{a} = {a}^{2} + {b}^{2} [/tex]
{Taking LCM on LHS}
[tex] \sf \frac{ {a}^{2}x + {b}^{2} x }{a} = {a}^{2} + {b}^{2} \\ \\ \sf \frac{x( {a}^{2} + {b}^{2}) }{a} = ( {a}^{2} + {b}^{2} )[/tex]
{Dividing by (a² + b²) both sides}
[tex] \sf \frac{x}{a} = 1 \\ \\ \green{\boxed {\tt{x = a} } }[/tex]
{Now substituting the value of x in equation 3}
[tex] \sf \frac{ba}{a} = y \\ \\ \green {\boxed{ \tt{y = b}} }[/tex]
Help me plsssssssssssssssss
Answer:
h=12
Step-by-step explanation:
by cross multiplying we get 1h=12 or h=12 so h=12
Give me the right answer this time pls ♥️.
Answer:
10 and please:
please see photo for detailed analysis
