Answer:
-7
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
__
Using the first two points from your list, we find the slope to be ...
m = (29 -36)/(40-39) = -7/1 = -7
The slope of the line is -7.
Which expression is equivalent to 32 + 16?
24+24
.
.........................................
solve for x and find the measure of side CB
Answer:
x=10, CB=24
Step-by-step explanation:
To find x, we know that CD=AB. So first we set up an equation.
5x-18=2x+12
then we solve.
5x-18=2x+12
5x=2x+30
3x=30
x=10
To find CB, plugin x.
3(10)-6
30-6
24
CB=24
A perimeter of a square field is 160, what is the area of that field?
Answer: 1,600 sq units.
Step-by-step explanation: The perimeter of a square field is 160. When finding the perimeter of a square, all sides are the same, so you're adding four sides that have the same number to make 160. You can add 40 four times to make 160, so that gives us a hint of what all the square's sides are, which are 40. To find the area of a square, you need to multiply one side by the other. All sides of the square are 40, so we'll multiply 40 two times to make 1,600 sq units. Therefore, 1,600 sq units is your answer.
Have a great day! :)
5, 5, 9, 11, 13
Mean:
Median:
Range:
Answer:
The median is 9
The Range is 13-5=8
The mean is 5+5+9+11+13/5=43/5=8 3/5=8.6
You randomly choose a marble from a jar. The jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles. Find the probability of choosing a blue marble.
Answer:
total marbles=3+10+8+4=25 marbles total
10 blue marbles/25 total marbles
10/25=2/5 probability
Step-by-step explanation:
Plss help find the area of a composite figure
And show work bc
Answer:
193.4 meters squared
Step-by-step explanation:
Area of rectangle = 7 X 15 = 105
Area of semi circle = 1/2 X π X R^2
R = 7.5
R squared = 56.25
π = 3.1415932654........
1/2 X 3.1415.... X 7.5^ 2 = 88.35729338
Rounded to one decimal place = 88.4
105 + 88.4 = 193.4m^2
Find the maturity value of a loan of $800 after three years. The loan carries a simple interest rate of 9 1/4% per year.
1.) The maturity of the loan is $___
Answer: $9
Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.
BRAINLIEST :D?
Find the length of c. Round your answer to the nearest tenth.
Answer:
c = 12
Step-by-step explanation:
This is a special triangle, also known as the 30-60-90 triangle. See the help image attached for another special triangle known as the 45-45-90 triangle. 30-60-90 triangle has specific rules that we can apply to this problem:
hypotenuse = 2xline opposite of 30° = xline opposite of 60° = x√3With that being said....
c = 2x
6 = x
a = x√3
We know that x = 6, so now solve for a & c:
c = 2(6) = 12
a = 6√3
Hope this helps!
Find the inverse of the matrix using elementary row operations on the augmented matrix
(Answers are on picture)
The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex].
How to determine the inverse matrix
A matrix A has an inverse matrix if and only if its determinant is different than 0. Given that we have a matrix formed by 2 rows and 2 columns, we can obtain the following inverse matrix by using the following formula:
[tex]\vec A ^{-1} = \frac{1}{\det (\vec A)} \cdot adj (\vec A)[/tex] (1)
Where [tex]adj (\vec A)[/tex] is the adjoint of the matrix, which is the transposed of the cofactor matrix.
If we know that [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex], then the inverse of the matrix is determined below:
[tex]\det (\vec A) = -2[/tex]
[tex]adj (\vec A) = \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]
[tex]\vec A^{-1} = -\frac{1}{2}\cdot \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]
[tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]
The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]. [tex]\blacksquare[/tex]
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Convert 192 cups to gallons. Enter your answers in the boxes.
Answer: 12 gallons.
Step-by-step explanation: It takes 4 cups to make 1 quart. It takes 4 quarts to make a gallon. If you do the calculations, it takes 16 cups in total to make 1 gallon. By dividing 192 / 16, you 12, which is how many gallons you get when you have 192 cups.
Let me know if this is right! :)
Bob plans to complete a 375 mile trip in hours. At what rate is he planning to travel?
Answer: 55 mph
Step-by-step explanation: rate=distance/time=275/5=55 miles per hour
pa help guys,
probability distribution
Answer:
14
Step-by-step explanation:
Hope it helps
A number x when added to its half, is equal to its third increased by 35.
Answer:
x=30
Step-by-step explanation:
x = x
half of x = (1/2) x = "its half"
third of x = (1/3) x = "its third"
"A number x when added to its half" = x + (1/2)x
"its third increased by 35" = (1/3)x + 35
according to the prompt, these two are equal, so
x + (1/2) x = (1/3)x + 35
x = 1x = (2/2)x to match denominators
(2/2)x + (1/2)x = (1/3)x + 35
= (3/2)x
(3/2)x = (1/3)x + 35
subtract (1/3)x from both sides to isolate the variable and its coefficients
(3/2)x - (1/3)x = 35
multiply both sides by 6 as that is the lowest common multiple of both 2 and 3 (2*3 = 6 so 6 is a multiple of both)
9x - 2x = 35*6
7x = 210
divide both sides by 7 to isolate x
x = 30
Help picture below problem 20
Answer:
it's.. parallelogram..
Step-by-step explanation:
mark me brainliest
Answer:
That is a parallelogram.
Step-by-step explanation:
Not a square, not a rectangle, not a trapezoid.
Solve the system using the linear combination method:
x + 5y= -3
2x + 7y=3
Answer:
3x+12y=0
Step-by-step explanation:
x+2x=3x
5y+7y=12y
-3+3=0
A composite figure is shown. What is the volume for the composite figure
The volume of the composite fiqure as shown in the diagram above is 300 cm³.
What is a composite fiqure?A composite fiqure is a fiqure that can be divided into mor than one of the basic shapes.
Note: The composite fiqure is made up of two different cubiods
To calculate the volume of the composite fiqure, we use the formula below.
Formula:
V = lbH+Lbh........... Equation 1Where:
V = Volume of the composite fiqureGiven:
l = 4 cmb = 5 cmH = 9 cmL = 6 cmb = 5 cmh = 4 cmSubsitute these values into equation 1
V = (4×9×5)+(6×5×4)V = 180+120V = 300 cm³Hence, The volume of the composite fiqure as shown in the diagram above is 300 cm³.
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• Los médicos pueden recetar los mismos medicamentos a los niños y a los adultos.
La fórmula utilizada, conocida como regla de Fried, es la siguiente: d= 0.08 AD,
donde des la dosis del niño, a es la edad del niño y D es la dosis del adulto. Si el
médico le receta 1,000 mg de acetaminofén a un adulto, ¿cuántos mg le debe de
recetar a un niño de 8 años?
Evaluando la función dada, veremos que la dosis para el niño debe ser 640 mg.
¿Cual será la dosis que se debe recetar al niño?
La funcion que debemos utilizar es:
d = 0.08*A*D
Donde, A es la edad del niño, en este caso: A = 8
D es la dosis correspondiente para un adulto, D = 1,000 mg
Reemplazando eso obtenemos:
d = 0.08*8*1,000mg = 640mg
Así, podemos concluir que al niño se le debe recetar una dosis de 640 mg.
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Fit two 1/8 pieces together.What larger fraction pieces do they match?
Answer: 1/4
Step-by-step explanation: 1/8 plus 1/8 is 2/8. it can be simplified to 1/4
For what value of k will the relation R = {(2k+1, 3), (3k−2, −6)} not be a function?
For the relation to not to be a function we need the same value of x in (x,y) that gives off different values (y).
2k+1= 3k-22k-3k = -2-1-k = -3k = 3Now plugging in the value of k,
(2 x 3+1 ,3) =( 7,3)(3 x 3-2,-6) = (7,-6)hence , the relation won't be function if k would be equal to 3
The value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.
What is a function?In general terms, a function is a mathematical rule or relationship that maps one set of values (the input or domain) to another set of values (the output or range). In other words, it's a specific process that takes some input and produces a corresponding output.
For the given relation R to be a function, each input in the domain should have exactly one corresponding output in the range.
We can determine whether the relation R is a function by checking if both ordered pairs have the same first coordinate. If they do, then the relation is not a function.
Let's equate the first coordinate of the ordered pairs:
2k+1 = 3k-2
Solving for k, we get:
k = 3
If we substitute k = 3 into the relation, we get:
R = {(2(3)+1, 3), (3(3)−2, −6)}
R = {(7, 3), (7, -6)}
Since both ordered pairs have the same first coordinate of 7, the relation R is not a function.
Therefore, the value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.
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Will give brainliest for right answer! :)
Answer:
155.52mm
Step-by-step explanation:
the area of the rectangle. 16×16=256. the area of the semicircle. 3.14×8×8=100.48. subtract the semicircle from the rectangle 256_100.48= 155.52mm
Answer:
27.47 square mm
Step-by-step explanation:
Area square = 16x16= 256
Half square= 255/2=128
Area circle pi x 64 = 201.06...
semicircle 201.06.../2 = 100.53
128-100.53 =27.47
match the function equations to their graphs. please help!
Answer:
y goes from the top to the bottom postive to negative. Then x is from left to right. The left is negative the right is postive.
Step-by-step explanation:
can someone please give me the right answer and please help me asap
Answer:
congruent
Step-by-step explanation:
if r_1=r_2 then, they should be the same... -congruent
How do you tell if a table shows y as a function of x?
like if i have a chart that looks like this:
x: 14 15 16 17 18
y: 100 80 110 100 90
Answer:
you have to find the common ratio between the y and the x, like what you have to multiply x by to get y
Step-by-step explanation:
like if your table is
x / y
-2. 6
-1. 3
0. 0
1. -3
2. -6
the ratio would be -3
bought a 45-inch television. The size of the TV is measured diagonally.
The television has a height of 27inches. What is the length of the TV?
3
MATH
A 30 in.
B
32 in.
C 36 in.
D 39 in.
45 in.
27 in.
Answer:
C) 36 inches
Step-by-step explanation:
Let the diagonal be the hypotenuse and use Pythagoras' Theorem:
[tex]a^2+27^2=45^2\\a^2+729=2025\\a^2=1296\\a=36[/tex]
So, the length of the TV was 36 inches.
At a local grocery store, each apple cost $1.89 and each orange cost $2.59. A total of 35 apples and oranges were purchased for a total of $79.95. Let x= number of apples and y=number of oranges. Write a system of linear equations that model the given information. Solve the system to determine the number of apples and oranges that were purchased.
x+y=35
1.89x+2.59y=79.95
y=35-x (and now we put this instead of 'y' in the second equation)
1.89x+2.59(35-x)=79.95 (now we solve this equation)
1.89x+90.65-2.59x=79.95
0.7x=10.7
x=15
y=35-15=20
ANSWER:
15 apples
20 oranges
Moderne Furniture Company had sales of $2,000,000 during its first year of operation. If the sales increased by $200,000/year thereafter, find Moderne's sales in the fifth year and its total sales over the first 5 years of operation.
If x - m is a factor of 2x^2 - x - 3, what is the value of m?
Answer:
The given quadratic expression can be factored as (2x - 3)(x + 1).
So x + 1 = x - m ⇒ m = -1.
Step-by-step explanation:
Answer:
I hope this helps, you can ask any questions for clarification
Luis is proving that the sum of the
measures of the interior angles of a
triangle is 180°. Which statement correctly
completes Luis's proof?
Answer:
Step-by-step explanation:
4. m < 1 + m < 4 + m < 5 = 180
PLEASE HELP
find the area
Answer:
372
Step-by-step explanation:
This is because the formula is a+b/2 x h and 7 is a 24 is b and the other 24 is h so 7 + 24 = 31/2 x 24 is 312
PLEASE HELP ME!!! WILL GIVE BRAILIEST!!!!!!
Find the Product - Show all your work.
2.37 X 1.6
Hello-
Here is the way that I learned to multiply decimals. First, remove the decimal points.
2.37 X 1.6
237 X 16
Then you multiply the numbers.
237 X 16 = 3792
Now, we move the decimal point three places to the left on our answer.
3.792
3.792 is our answer.