Answer:
2 or [tex] \log_{12} 144 [/tex]
Step-by-step explanation:
I assume 12 is the base.
[tex] \log_{12} 18 + 3 \log_{12} 2 = [/tex]
[tex] = \log_{12} 18 + \log_{12} 2^3 [/tex]
[tex] = \log_{12} (18 \times 8) [/tex]
[tex] = \log_{12} 144 [/tex]
[tex] = \log_{12} 12^2 [/tex]
[tex] = 2\log_{12} 12 [/tex]
[tex] = 2 [/tex]
The entire expression simplifies to 2, but if you need the simplest log expression, then you can use
[tex] \log_{12} 144 [/tex]
Jim buys some tacos and burritos which cost him $15.75. John buys some tacos and burritos which cost him $8.25. Tacos cost $1.50 each and burritos cost $2.25 each, how many of each did Joe and John buy?
Let t = the number of tacos and b= the number of burritos.
1. Which equation represents Joe?
2. Which equation represents John?
3. John bought:
tacos
burritos
4. Joe bought:
tacos
burritos
triangle ABC is isosceles with AB=AC and angle A=50°. the bisector of angle B and angle C meet at D. find the measure of BDC
Answer:
115 degrees
Step-by-step explanation:
From what I'm visualizing, D is a point of another isosceles triangle within ABC, so to find the measure of angle BDC, we have to find the other angles first.
First, we have to find angle B and C. since this is an isosceles triangle and AB=AC, these two angles are equal and we find their angle measure by subtracting the known angle A, from the total measure of all angles in a triangle, 180
180 - 50 = 130
then divide that by two to get the two equal angles
130/2 - 65
angle bisector divides the angles in half so the measures of CBD and BCD are 65/2
that leaves the last remaining angle BDC. Again, we take the known angles and subtract them from 180
180 - 65/2 -65/2 = 115
PLEASE HELP I'M SOO CONFUSED AND IT'S DUE TODAY!!!!!!!!!!!!!...I HAVE A LOT OF WORK TO DO TODAY AND I JUST NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
2 Triangles with the bilateral of the sun to the 2nd power of pie
Step-by-step explanation:
I took the test ;)
find the slope of the line that passes through
(-5,8) and (2,-6)
Answer:
Slope is -2
Step-by-step explanation:
Formula is y2 - y1 / x2 - x1
Hope this helps. Pls give brainliest.
secA-tanA/secA+tanA=cos^2A/(1+sin^2A) could somebody prove this pls......
9514 1404 393
Answer:
it cannot be proven
Explanation:
You cannot prove what isn't true.
We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.
-[52-[36-58(24x82) x36] +(-42)]=
Answer:
- [52 - [36 - 58 (24 x 82) x 36] + (-42)] = −4109158
A weight of 6 lb stretches a spring a distance of 12 in. Find the constant k for the spring.
Answer:
Let F = the force (6 lbs) and x be the distance that the spring is stretched (12 inches).
F = kx
6 lb = k*(12 in.)
6/12 = k = 0.5 lb/in.
A weight of 6 lb stretches a spring a distance of 12 in. The constant k for the spring will be 0.5 lb/in.
How to obtain acceleration from force applied on an object?If the object is of mass m kg and force applied on it is of F N in the direction of motion, then the acceleration of that object is evaluated as:
a= F/m
Given; A weight of 6 lb stretches a spring a distance of 12 in.
Also,
Let F = the force and x be the distance that the spring is stretched
F = kx
6 lb = k*(12 in.)
6/12 = k = 0.5 lb/in.
Therefore, the constant k for the spring will be 0.5 lb/in.
Learn more about spring here;
https://brainly.com/question/13258939
#SPJ2
50 POINTS!
In the diagram, d = 4. What is the value of x? Express your solution in simplest radical form, if necessary.
Answer:
146
Step-by-step explanation:
180=4+30+x
180=34+x
180-34=x
146=x
There are (2^6)^3• 2^0bacteria in a sample. What is the total number of bacteria in the sample?
Answer:
262,144
Step-by-step explanation:
2^0 = 1
(2^6)^3 = 2^18 = 262,144
Answer: 262,144.
Step-by-step explanation: (26)3(20)
=(643)(20)
=262144(20)
=(262144)(1)
=262144
List the domain and range of the relation. {(7,-8), (4,4), (0,-8), (4,1),(7,8)}
Answer:
Domain: {7, 4, 0} Range: {-8, 4, 1, 8}
Step-by-step explanation:
the domain is just the x values and the range is just the y values when just a list of cordinates are given.
Brainliest need help plz
A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B. Which statement is true about the given information? ∠CED measures 45°. ∠CED measures 180°. ∠AEC measures 90°. ∠AEC measures 45°.
Answer:
The answer is 90
Step-by-step explanation: Im not 100% sure but yeah.
a line passes through the points (4,23) and (8,27). write a linear funtion rule in terms of x and y for this line
Answer:
Step-by-step explanation:
(27 - 23)/(8 - 4)= 4/4= 1
y - 23 = x - 4
y = x + 19
If using the method of completing the square to solve the quadratic equation
x²-10x – 15 = 0, which number would have to be added to "complete the
square"?
Answer:
For quadratic equations that cannot be solved by factorising, we use a method which can solve ALL quadratic equations called completing the square. We use this later when studying circles in plane analytic geometry.
Completing the square comes from considering the special formulas that we met in Square of a sum and square of a difference earlier:
(x + y)2 = x2 + 2xy + y2 (Square of a sum)
(x − y)2 = x2 − 2xy + y2 (Square of a difference)
To find the roots of a quadratic equation in the form:
\displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax
2
+bx+c=0,
follow these steps:
(i) If a does not equal \displaystyle{1}1, divide each side by a (so that the coefficient of the x2 is \displaystyle{1}1).
(ii) Rewrite the equation with the constant term on the right side.
(iii) Complete the square by adding the square of one-half of the coefficient of x to both sides.
(iv) Write the left side as a square and simplify the right side.
(v) Equate and solve.
Example 1
Find the roots of x2 + 10x − 4 = 0 using completing the square method.
Answer
Example 2
Solve 4x2 + x = 3 by completing the square.
Answer
Exercises
Solve the following quadratic equations by completing the square
Q1. \displaystyle{2}{s}^{2}+{5}{s}={3}2s
2
+5s=3Answer
Q2. \displaystyle{3}{x}^{2}={3}-{4}{x}3x
2
=3−4xAnswer
Q3. \displaystyle{9}{v}^{2}-{6}{v}-{2}={0}9v
2
−6v−2=0Answer
Q4. \displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax
2
+bx+c=0Answer
1. Solving Quadratic Equations by Factoring
3. The Quadratic Formula
use the table to solve the equation -6x>18
The answer is,
[tex]x < - 3[/tex]
Is the following g relation a function?
-yes
-No
Given:
The arrow diagram of a relation.
To find:
Whether the given relation is a function or not.
Solution:
A relation is a called a function it there exist a unique y-value or unique output value for each x-value or input value.
From the given arrow diagram it is clear that y=2 and y=-1 for x=-1.
Since we have more than one value of y at x=-1, therefore, the given relation is not a function.
Hence, the correct option is B.
If 1 large popcorn and 4 large drinks cost $21 how much does 1 large popcorn cost?
Answer:
6-7 dollars maybe?
Step-by-step explanation:
you didn't give a picture so Im just rounding
(sorry if I'm wrong)
A costume designer is using exactly 264 yards of green fabric to make 36 frog costumes. If each costume requres the same amount of fabric, how many yards will be used for each one?
Answer:
Each costume will take 7 1/3 yards of green fabric
Step-by-step explanation:
They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.
how do i use the quadratic formula on 5x + x2 + 10 = 0
Answer:math away is the best for the question u have
Step-by-step explanation:
Mathaway
Step-by-step explanation:
Solve the equation for x by finding a, b and c o f the quadratic then applying the quadratic formula.
5 ± i√15
x = ----------------------------
2
Which are the partial products for 8x362? Select all that apply.
Answer:
Are you guys classmates?
6=2(y+2) y=?
please help
==========================================================
Explanation:
There are two ways to solve this
The first method will have us distribute the 2 through to each term, then we solve for y
6 = 2(y+2)
6 = 2y+4 .... distribute
2y+4 = 6
2y = 6-4 .... subtract 4 from both sides
2y = 2
y = 2/2 .... divide both sides by 2
y = 1 is the answer
-------------
Or we can solve through this set of steps
6 = 2(y+2)
6/2 = y+2 ...... divide both sides by 2
3 = y+2
y+2 = 3
y = 3-2 .... subtract 2 from both sides
y = 1
Either way, we get the same answer.
-------------
To check the answer, replace every copy of y with 1
Simplifying should lead to 6 on the right side
6 = 2(y+2)
6 = 2(1+2)
6 = 2(3)
6 = 6
Since we get the same thing on both sides, this means the last equation is true. This in turn means the first equation is true when y = 1. Therefore, the solution has been confirmed.
Does anyone know composite functions?
Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?
Answer: 5 2/6
Step-by-step explanation:
Answer:
5 2/3
Step-by-step explanation:
3 1/3 + 2 1/3
10/3 + 7/3
= 17/3
= 5 2/3
I hope I helped!!
360 miles in 6 hours unit rate
Answer:
60 miles per hour
Step-by-step explanation:
360 miles / 6 hours = 60 miles per hour
Answer:
60, I hope this helped and please mark brainliest!
Step-by-step explanation:
This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.
y=3x+−7
Find the slope.
A. 7
B. -7
C. 3x
D. 3
Answer:
D.3
Step-by-step explanation:
In the equation for a line in the form y=mx+c, m represents the slope.
Therefore the slope is 3.
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + - 7 ← is in slope- intercept form
with slope m = 3
What is the equation for a line that passes through the points (-4,-3) and (8,12)?
Answer:
y = 1.25x + 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
( -4 , -3 ) ( 8 , 12 )
12 + 3 15 = 5
8 + 4 12 = 4
↑ slope = 5/4
↓ point slope form: y - y₁ = m ( x - x₁ )
y + 3 = 5/4 ( x + 4 )
y + 3 = 5/4x + 5
-3
y = 5/4x + 2
Pls help me ASAP pls
When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
(I've seen other questions like this, but the answer is wrong. It's not 50 or 52.49 or 52.5.)
Answer:
53
Step-by-step explanation:
58÷1.095= 53 is the answer
Answer:
5.03196347032
Step-by-step explanation:
We do:
.095x+x=58
1.095x=58
x=52.96
52.96 is a approximation and when you do the math and see what 9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032
One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.
Answer:
The numbers are 11 and 49.
Step-by-step explanation:
x = 5y - 6 This is just the first sentence written as an equation.
x + y = 60 This is just the second sentence written as an equation.
5y - 6 + y = 60 Substitute x for what you know it is equal to
6y - 6 = 60 Collect like terms
6y = 66 Add 6 to each side
y = 11 Divide each side by 6
x = 5 × 11 - 6 Substitute y for what you know it is
x = 55 - 6 Simplify by working out 5 × 11 = 55
x = 49 Subtract 6 from 55 to get 49
A random sample of 1000 people who signed a card saying they intend to quit smoking were contacted 9 months later. Turned out that 210 (21%) of the sampled individuals had not smoked in the past 6 months. What is the population, parameter, sample and statistic?
Answer:
Population is the total number of people that fall into the description of those that the research concerns.
In this case, Population is: Everyone who signed a card saying that they intend to quit smoking.
Sample. This is a subset of the population that the research is based on.
Sample = 1,000 people surveyed.
Parameter and Statistic are both descriptive measures but parameter is for the population and statistic is for the sample.
Parameter = Percentage of total population who have not smoked in 6 months.
Statistic = 21% of sample who have not smoked in 3 months.