Answer:
[tex] y = 2x-19 [/tex]
Step-by-step explanation:
Line passes through the point [tex] (12,\: 5) =(x_1,\: y_1) [/tex] and has a slope (m) = 2
Equation of line in point slope form is given as:
[tex] y - y_1 = m(x-x_1) [/tex]
[tex]\therefore y - 5 = 2(x-12) [/tex]
[tex]\therefore y = 2x-24+5 [/tex]
[tex]\therefore y = 2x-19 [/tex]
GIVING BRAINLEST AND THANK YOU AND FIVE STARS IF CORRECT, ANY FILE LINK IS INSTANT REPORT
Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. She records its color and returns the marble to the bag. This would be a dependent event. True or False?
Answer:
true
Step-by-step explanation:
Answer:
The answer is yes.
Step-by-step explanation:
This is dependent because whichever color marble she picks out, is dependent on how many marbles of that color are in the bag. For example, since their are 25 blue marbles, there is a higher probability that she will pick a blue marble that any of the other colors.
Find the measure of line segment EF. Please!!
Answer:
EF = 26
Step-by-step explanation:
From the question, we have that arc EF and arc CD are equal
what this indicates is that the line that bounds these arcs too will be equal
Hence, CD equals EF
Thus;
9x-1 = 41-5x
9x + 5x = 41 + 1
14x = 42
x = 42/14
x = 3
Recall;
EF is 41-5x
EF = 41-5(3)
EF = 41-15
EF = 26
log subscript-4 (m^2)=log subscript-4 (18-7m)?
Answer:
m = {-9, 2}Step-by-step explanation:
log₄ (m²) = log₄ (18 - 7m)18 - 7m > 0 ⇒ 7m < 18 ⇒ m < 18/7
m² = 18 - 7mm² + 7m - 18 = 0m² + 2*3.5m + 12.25 = 30.25(m + 3.5)² = 5.5²m = - 3.5 ± 5.5m = 2 m = -9Answer:
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
Step-by-step explanation:
we are given a logarithm equation
[tex] \displaystyle \log_{4}( {m}^{2} ) = \log_{4}(18 - 7m) [/tex]
notice that, we have [tex]\log_4[/tex] both sides therefore we can get rid of it
[tex] \displaystyle {m}^{2} = 18 - 7m[/tex]
in order to solve it we should make it standard form we know that
[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]
so right hand side expression to left hand side and change its sign:
[tex] \displaystyle {m}^{2} + 7m- 18=0[/tex]
now we can solve it by using factoring method
to do so rewrite the middle term as sum or subtraction of two different terms
in that case -2m+9m is good to use
[tex] \displaystyle {m}^{2} - 2m + 9m - 18 = 0[/tex]
factor out m:
[tex] \displaystyle m({m}^{} - 2 )+ 9m - 18 = 0[/tex]
factor out 9:
[tex] \displaystyle m({m}^{} - 2 )+ 9(m - 2)= 0[/tex]
group:
[tex] \displaystyle (m - 2)(m + 9) = 0[/tex]
hence,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
remember that,
when we deal with logarithm equation we should always check the roots
let's check the root 1:
[tex] \displaystyle \log_{4}( {2}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify square:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify multiplication:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 14) [/tex]
simplify substraction:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(4) [/tex]
simplify logarithm:
[tex] \displaystyle 1 \stackrel{ \checkmark}{=} 1[/tex]
let's check root 2:
[tex] \displaystyle \rm \log_{4}( { - 9}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.( - 9)) [/tex]
simplify square:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{?}{=} \log_{4}(18 + 63) [/tex]
simplify addition:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{ \checkmark}{=} \log_{4}(81) [/tex]
therefore,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
WILL MARK BRAINLIEST IF CORRECT
Answer:
this is the 3rd one or second
Step-by-step explanation:
name the following polynomial expression.
[tex] {4x}^{2} + x - 3 [/tex]
Answer:
Step-by-step explanation:
It has 3 terms so it is a trinomial.
It can also be called a quadratic.
Answer:
a trinomial.
If that is what ur asking for
Step-by-step explanation:
What is the solution to this system of equations?
Answer:
(2, 6).
Step-by-step explanation:
The solution is the ordered pair where the 2 lines intersect.
Answer:
(2, 6)
Step-by-step explanation:
Take a look at the graph.
The problem has rather helpfully graphed out the two equations presented to us, and the point in which both lines intersect is (2, 6), making this pair your solution.
If you'd like to check, plug in the corresponding variables.
x = 2
y = 6
First equation:
y = x + 4
6 = 2 + 4
6 = 6
The equation is true.
Second equation:
y = -0.5x + 7
6 = (-0.5 x 2) + 7
6 = -1 + 7
6 = 6
This equation is true as well.
Please inform me of any mistakes.
Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range
Answer:
Mean: 4
Mode: 4
Median: 6
Range: 5
Step-by-step explanation:
Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Mode: Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
help help help help ..:..
Answer:
Option 3 is the correct answer
Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans of brownies.
How many chocolate chips were in each pan of brownies?
Answer:
( 400-x)/3
Step-by-step explanation:
Total chocolate chips Savannah had = 400
Number of chocolate chips she saved for garnishing =x
Number of chocolate chips remain = 400-x
Number of brownie pans = 3
Chocolate chips were spread evenly in 3 pans,
Chocolate chips were in each pan of brownies =( 400-x)/3
measurements I suck at it
Answer:
a = 65
b = 73
c = 17
d = 138
Step-by-step explanation:
d + 42 = 180
d = 138
c + d + 90 + 115 = 360
c + 138 + 205 = 360
c + 343 = 360
c = 17
90 + b + c = 180
90 + b + 17 = 180
b + 107 = 180
b = 73
a + b + 42 = 180
a + 73 + 42 = 180
a + 115 = 180
a = 65
Answer:
a is 65
b is 73
c is 17
d is 138
You have a bag of 12 marbles, 5 red, 3 green, 2 yellow & 2 orange. What is the P( red, then orange) WITHOUT replacing the first marble? Write your answer as a DECIMAL rounded to the nearest hundredth.
Answer:
Total number of marbles = 12
P (1 red & 1 orange) =
[tex] \frac{1 + 1}{12} \\ = \frac{2}{12} \\ = \frac{1}{6} \\ = 0.16[/tex]
Answer:solution given:
total no of marbles [S]=12
total no of red marbles[R]=5
total no of green marbles[G]=3
total no of yellow marbles[Y]=2
total no of orange marbles[O]=2
now
the P( red, then orange) n[p]=?
we have
n[p]=[tex] \frac{n[R]+n[O]}{n[S]} [/tex]
n[p]=[tex] \frac{5+2}{12} [/tex]
n[p]=[tex] \frac{7}{12} [/tex]
the P( red, then orange) n[p]=[tex] \frac{7}{12} [/tex]
11. What is the positive solution to this equation?
4x2+ 12 x= 28
Answer:
x = sqrt(37)/2 - 3/2
approximately 1.54
Step-by-step explanation:
Solve for x over the real numbers:
4 x^2 + 12 x = 28
Divide both sides by 4:
x^2 + 3 x = 7
Add 9/4 to both sides:
x^2 + 3 x + 9/4 = 37/4
Write the left hand side as a square:
(x + 3/2)^2 = 37/4
Take the square root of both sides:
x + 3/2 = sqrt(37)/2 or x + 3/2 = -sqrt(37)/2
Subtract 3/2 from both sides:
x = sqrt(37)/2 - 3/2 or x + 3/2 = -sqrt(37)/2
Subtract 3/2 from both sides:
Answer: |
| x = sqrt(37)/2 - 3/2 or x = -3/2 - sqrt(37)/2
If z = -7, what is the value of (-8z) - z?
Answer:
63
Step-by-step explanation:
you will plug in -7 for both z's
(-8(-7) - (-7)
following PEMDAS you will do multiplication first
(-8(-7) = 56
now we have 56 - (-7)
since - and - make a positive it will be
56 + 7 = 63
Jada uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 4 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:Amount of blue paints used to paint bedroom walls=1.48 pints
Step-by-step explanation:
total pints of white paint and blue paint = 7.4 pints
Amount of white paint=4/ 5 x 7.4 pints=5.92pints
Amount of blue paints used to paint bedroom walls=total pints of paints used -Amount of white paint used
= 7.4 pints-5.92pints
=1.48pints
PLS HELP WILL GIVE BRAINLIEST
Answer:
I am sorry but I do not understand it =(
Which triangle is congruent to the figure below?
Answer:B
Step-by-step explanation: because it is trust me
Answer:
The answer is B
Find SA? Help asp!!!!!
SA = GS
The values of SA is 8
Please help and explain how u got the answer
Answer: 258
Step-by-step explanation: add the numbers all together
Answer:
102
Step-by-step explanation:
all quadrilaterals have a sum of interior angles= 360
Therefore, you subtract the angles you have so far from 360 so. 360-78-66-114=102
The number 40 is 5 percent of what number?
A) 80 B) 8 C) 200 D) 2 E) 800
Answer:
800
Step-by-step explanation:
Is means equals and of means multiply
40 = 5% *N
Change to decimal form
40 = .05N
Divide each side by .05
40/.05 =.05N/.05
800 = N
couldn't write it out so i took a pic of it
Answer:
4th is the answer
Step-by-step explanation:
Answer:
the measure of <ABD = 1/2 the measure of <ABC is the answer :)
Step-by-step explanation:
Russ plants seeds in 1/2 of his garden. If he planted sunflower seeds in 1/4 of that section, what part of the total garden should grow sunflowers?
Answer:
1/8
Step-by-step explanation:
part of the garden that is sunflowers=1/4 of 1/2=1/2*1/4=1/8 (in math of usually means multiplication ex. 50% of 100=0.50*100=50)
Answer:
1/8
Step-by-step explanation:
Ik im late but- Yeah its that
find the amount of sap maple syrup producer would have cod from each tree if the total amount (5gallons) was redistributed equally among the trees
Answer: hi
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
hope is helps <3
Subtract -6x2 – 2x + 5 from 2x2 + 8.
Answer:
-3-2x
Step-by-step explanation:
good luck, have a good day:)
PLEASE HELP AND HURRY!!!!!
A square playground is covered with pebbles, except for two equal size triangular portions that have grass. How many square feet do the pebbles cover?
7ft
14ft
Answer:28\2
Step-by-step explanation:
7+7=14
7+7=14
14+14=28
Triangle A=1\2bh
So 28\2
The pebbles cover an area of 147 sq ft. We can use the Pythagorean theorem to find the solution.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Now, Let's call the length of the third side of the triangle "x".
Since the two triangles are equal in size, and they share two sides with the square, we can use the Pythagorean theorem to find x.
a² + b² = c²
7² + 7² = c²
49 + 49 = c²
98 = c²
c = √(98)
c = 7 √(2)
So, each triangle has a base of 7 ft and a height of 7 √(2) ft.
And, Area of each triangle = (base × height) / 2
= (7 × 7√(2)) / 2
= 24.5 ft²
Since, there are two triangles,
Hence, the total area of the grass is,
⇒ 24.5 sq ft × 2 = 49 sq ft
Hence, The square has an area of,
⇒ 14ft × 14ft = 196 sq ft
So, The pebbles cover an area of,
⇒ 196 sq ft - 49 sq ft = 147 sq ft.
Learn more about Pythagorean theorem here: brainly.com/question/14930619
#SPJ2
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.
Answer:
Minimum 100 bicyclesMinimum cost is 13500Step-by-step explanation:
Given function:
C(x) = 3x^2- 600x + 43500a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
Vertex of the given function is:
x = -(-600)/(2*3) = 100b.
Cost at vertex is:
C(100) = 3*100^2 - 600*100 + 43500 = 13500Bob and his friends went out to lunch.
• They bought 3 sandwiches and 3 bottles of water.
The bottles of water cost $1.50 each.
• The total bill was $30.00.
How much does one sandwich cost if they cost the same amount?
Answer:
Each sandwich cost 8:50
Step-by-step explanation:
total 30$
total price of the waters 4:50
30-4:50=25:50
25:50÷3=8:50
PLEASE HELP QUICK ITS ALMOST DUE!
What is the slope of the inequality of the red line in this graph
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
What is the approximate perimeter of the trapezoid shown?
Answer:
d.the correct answerStep-by-step explanation:
brainleist bunch☺️
HELP ITS URGENT PLS I GIVE POINTS
Answer:
each base angle is 70°
Step-by-step explanation:
this is an isosceles triangle because two sides are equal which means two angles are equal
the left, right base angle is also 'x'
so, x + x + 40 = 180
2x = 140
x = 70
Help! I don't get it!