just do it with a calculator the answer is -3
Answer:
-3
Step-by-step explanation:
log (1/1000)
log ( 10^-3)
= -3
Find the vertex, axis of symmetry, and y-intercept of the quadratic function.
Answer:
Vertex: (4, 12)Axis of symerty: x = 4y - inrercept: -4Step-by-step explanation:
The vertex form of quadratic function f(x) = ax² + bx + c:
f(x) = a(x - h)² + k
(h, k) - coordinates of a vertex
h = -b/2a
k = f(h)
We have f(x) = -x² + 8x - 4 ⇒ a = -1, b = 8, c = -4.
h = -8/(2 · (-1)) = -8/(-2) = 4
k = f(4) = -4² + 8 · 4 - 4 = -16 + 32 - 4 = 12
Vertex (4, 12)
Axis of symerty = h: x = 4
y - inrercept f(0) = c: -4
Answer:
See below ~
Step-by-step explanation:
Details of Graph
Vertex = (4, 12)Axis of Symmetry : x = 4Y-intercept : -4Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15}.
y= -2/3x+7
Complete the table based on the given domain.
Answer:
see the attachment!
i hope this can help you.
Lucy was born on 11/09/1993. How many eight-digit codes could she make using the digits in her birthday?
The number of eight-digit codes could she make using the digits in her birthday is 1120 digits
Since the order of the arrangement of the digits matter, we use permutations
What are permutations?Permuations are the number of ways of arranging n objects in r ways. It is given as ⁿPₓ = n(n - 1)(n -2)...(n - x + 1). If we have r identical objects out of n objects, the number of arrangements are n!/r!
Now, since in the date Lucy was born 11/09/1993 has eight digits, we need to find the number of permutations the eight digits of her birthday to form an eight digit code.
Since there are 8 digits, three one's, three nine's, one 1 and one 3.
The number of permutations of these digits in an eight digit code, since we have repeated objects are n = 8!/3!3!1!1!
= 40320/6 × 6 × 1 × 1
= 40320/36
= 1120 digits
So, the number of eight-digit codes could she make using the digits in her birthday is 1120 digits
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How do you find out What is 3/8 x 4?
Answer: 1.5 (Decimal Form) or 3/2 (Exact Form)
Step-by-step explanation:
So what you do is put the whole number which in this case is 4, into a fraction so your problem will look like this:
3 / 8 * 4 / 1 =
Then, you will have to multiply all the numbers across:
3 * 4 = 12
8 * 1 = 8
Your answer will then look like this:
12 / 8
You will have to simplify with the greatest common factor which would be 4:
12 / 4 = 3
8 / 4 = 2
So, you get your answer:
3 / 2 or 1.5
A bag of plugs contains 500 pieces. Each piece is $0.03. There is a 10% discount if the customer orders 10 bags or more. How much is a customer paying for 7,000 pieces?
Answer:
They would be paying $189
The amount of money that the customer paying for 7,000 pieces is $189.
What is an equation?An equation is an expression that shows the relationship between two or more variables or numbers.
Number of bags for 7000 pieces = 7000/500 = 14
Cost for 7000 pieces = $0.03 * 7000 = $210
Discount = 210 - (0.1 * 210) = $189
The amount of money that the customer paying for 7,000 pieces is $189.
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Insert three rational numbers between -1/3 and -2/3.
Answer:
-5/12 , -1/2 ,-7/12
Step-by-step explanation:
a = -1/3
b= -2/3
n = 5
d = b- a/n+1
d= (-2/3 + 1/3)/(5+1)
d = -1/12
numbers are :
-1/3 , -1/3-1/12 , -1/3-2/12 , -1/3-3/12, -2/3
hence number are:-1/3,-5/12,-1/2,-7/12,-2/3
Three girls on a high school track-and-field team practiced the shot put. Each gin
made 10 attempts, and the distances measured after each attempt are shown on
the line plots.
Which girl's range of distances was the GREATEST?
A. Candace
B. Sara
C. Rosie
D. All girls traveled the same distance
Answer:
Its ginger bread man because Sara ate the bread and it was gingery
A storage container is shaped like a rectangular prism. The volume of a container is 48 cubic ft. The area of the base of the containers 12 feet. What is the height of the container in feet?
A. 12=48h
B. V = (12)(48)
C. (12)(48) = h
D. 48 = 12h
It has been observed in one country, that 59 out of every 100 births is a baby with brown eyes. In 640 births how many brown eyed babies would you expect?
Answer:
377.6
Step-by-step explanation:
You do the ratio of 59/100 and then divide 640 by 100. Then you will get 6.4.
Multiply 59×6.4=377.6
In what form is the following linear equation written?
v-3 ={(x-1)
O A. Slope-intercept
B. Standard
O C. Point-slope
D. Rise-run
SHRM
A bag contains 2 red marbles, 7 blue marbles and 8 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?
state if the triangles are congruent. if so, name the theorem/postulate
Answer:
congruent by the SSS congruence postulate
Step-by-step explanation:
The hash marks tell you each side of one triangle has a congruent corresponding side in the other triangle.
__
The triangles are congruent by the SSS congruence postulate.
What is true about the slope of the function below
y = 4x + 3
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}}[/tex]
Which is true about the slope of the function y=4x+3?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
The slope of the function y=4x+3 is 4; in equations like this one, the slope is simply the number before x.
The rise is 4, and the run is 1.
Remember, slope is also defined as "Rise/Run"
[Note:- You haven't listed any options here, could you kindly add them in the comments?]
Good luck.- - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - -- -
*100 POINTS, WILL ALSO RECEIVE BRAINLIEST*
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain.
Part A: The x-intercept represents the maximum amount of profit the company makes depending on the price of erasers. The intervals would be the prices of the erasers, and they represent the correlation between sale and profit. For example, when each eraser costs $4, the company makes the max profit of $270.
Part B: The average rate of change would be $91.875 and the rate represents that, on average, for each dollar that the price of the eraser jumps, the profit jumps an average of $91.875.
Part C: The constraints of the domain would be things like how the price of the erasers cannot go less than $0 or above $8; 0 [tex]\leq[/tex] x [tex]\leq[/tex] 8.
Answer:
Person above is correct I think.
Step-by-step explanation:
Analytically show that the equation below represents trigonometric identity statements for questions 5-7
-7a - a=
Explain please
Step-by-step explanation:
-7a - a
Take common -a from that equation
-a(7+1)
= -8a
Easy peasy
Answer:
- 8a
Step-by-step explanation:
- 7a - a
= - 7a + (- a)
= - 8a
____
Hope it helps ⚜
Prove that the bisector of the angle formed by a tangent and a chord drawn from the point of tangency divides the intercepted arc into two congruent arcs.
Answer:
Step-by-step explanation:
Evaluate the expression when a = 2, b=8 and c=12 c-2(a)+b
Answer:
16
Step-by-step explanation:
First, sub in the variables for the given numbers.
12 - 2(2) + 8
Then, use PEMDAS to find your answer.
12 - 2(2) + 8
12 - 4 + 8
8 + 8
16
Last, you get 16.
Does anyone know the answer ASAP! Please and Thankyou!
Answer:
m=-2 and b=3
Step-by-step explanation:
One way to find slope is to use rise over run (most useful when there is a graph). First find any two points along the line where it intersects with a point on the grid. (1,1); (2,-1) and (3,-3) are some examples. Then count how many spaces vertically and then horizontally it takes to get to the next point. In this case it is two spaces down (rise) and 1 space right (run). So rise/run = 2/1 =2. That is your slope. Because it is pointing downwards or decreasing we know it is a negative slope.
The y-intercept is just where the line intercepts with the y-axis. In other words, when x=0 what does y equal? Here it is 3.
Help!! Which one is it?
Answer: Choices A and C
Reason:
A) The mode is 134 because the leaf 4 shows up the most for the stem of 13, and for any other stem as well. In other words, stem = 13 and leaf = 4 combine to the value 134 which shows up the most (a total of 5 times) compared to the other numbers. Therefore, we have a true statement.B) In the first row, the leaf 1 shows up three times. This leads to the number 101 (not 111) showing up 3 times. Therefore, statement B is false.C) This is also true. Visually the length of the leaves for the stem 13 is the longest. We have 8 leaves here which is the most of any other row.D) This is false. The leaf counts for the rows from top to bottom are: 6, 4, 0, 8, 2, 3. Those numbers add up to 23. This means there are 23 values (not 20) in the data set.PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answer:
58 degrees
Step-by-step explanation:
90-32
=58
~rere
Answer:
angle b measures 58°
Explanation:
As we know that, the sum of complementary angles is always equal to 90°.
Therefore,
angle a + angle b = 90°
32° + angle b = 90°
angle b = 90° - 32°
angle b = 58°
HOPE THIS HELPS AND HAVE A NICE DAY <3
The height of a triangle is 9 feet less than twice the length of its base. Its area is 9 square feet. What are the dimensions of its base and height? Recall that the area of a triangle is 1/2bh.
Its base is ____ feet and its height is ____ feet.
Step-by-step explanation:
If we let the length of the base be b, then the height is 2b-9.
This means that (1/2)(b)(2b-9)=9
b(2b-9) = 18
2b^2 - 9b = 18
2b^2 - 9b - 18 = 0
(2b+3)(b-6)=0
b = -3/2 or b= 6 (disregard b = -3/2 as distance is positive)
This means b =6, and thus the height is 2(6)-9=3.
7. Subtract (5 – 7p) from (2p – 3).
Show the mathematical expression as a
subtraction problem and then simplify. Show all work.
Answer:
= (2p-3)-(5-7p)
= 2p-3-5+7p
= 2p+7p-3-5
= 9p-8
PLEASE HELP!
Thank you in advance
The equation of line t is y=
7
4
x+2. Perpendicular to line t is line u, which passes through the point (2,
–
2). What is the equation of line u?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Answer:
If the slope is 7/4x : y=-4/7x-6/7
Step-by-step explanation:
1) Find reciprocal of slope: 7/4 becomes -4/7
2) insert into equation y=mx+b: y=-4/7x+b
3) solve for "b" by substituting x and y with the point (2,-2): -2=-4/7(2)+b
b=-6/7
4) write final equation: y=-4/7x-6/7
Where does Pythagorean identities and also how it relates to the right triangles
Answer:
A pythagorean identity means that for any angle [tex]\theta[/tex], [tex]sin^2\theta+cos^2\theta=1[/tex].
This also means [tex]1+tan^2\theta=sec^2\theta \mbox{ and } 1+cot^2\theta=csc^2\theta.[/tex] The symbol, theta ([tex]\theta[/tex]) represents one of the acute angles in the right triangle. The hypotenuse (familiarly c in the regular pythagorean theorem) is 1. The triangle base is [tex]cos\theta[/tex], and the height (side perpendicular to the base, making a right angle) is [tex]sin\theta[/tex]. The angle theta is opposite the [tex]sin\theta[/tex] side.
Step-by-step explanation:
The pythagorean theorem applies to right triangles, which always have a 90 degree angle. Pythagorean identities are used to simplify trigonometric expressions/evaluate trig functions and to find the trig ratios in a right triangle.
Answer:
The Pythagorean identities are
[tex]sin^{2} x + cos^{2} x = 1\\1+ tan^{2} x = sec^{2} x\\1 + cot^{2} x = csc^{2} x\\where\\csc x = \frac{1}{sinx} \\cot x = \frac{cosx}{sinx} or \frac{1}{tanx} \\tan x = \frac{1}{cotx} or \frac{sinx}{cosx} \\sec x = \frac{1}{cotx}[/tex]
No matter what the value of x (the angle degree amount) is, sin²x+cos²x is equal to 1
When given a side length of a right triangle you will be able to use one of these identities to find the angle amount
Will make brainiest and you only have to answer at least one question.
The speed of sound in air at 20 degrees Celsius is 343 meters / second. What would the speed of sound be in miles per second?
The F-16 jet can fly at speeds up to 1,500 miles per hour. How many kilometers per hour can it fly?
Answer:
see below
Step-by-step explanation:
342 m/s * 1.09361329834 yd /m * 1 mile / 1760 yards = .21251 mi/s
1500 mi / hr * 1609.344 meters / mile * 1 km / 1000 m = 2414 km/hr
x is an acute angle. Find the value of x in degrees.
COS x=0.2
write your answer as an integer or as a decimal rounded to the nearest hundredth.
The value of x in degrees will be x=78.46
What is trigonometry?The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.There are different angles like Cos,Sin,tan,cosec,sec and cot in the trigonometry.
It is given that:
We have the value of CosX=0.2 we will take inverse of the value 0.2 and find the angle X. after taking the cos inverse of the value 0.2 we found out the angle X=78.46
Cos X = 0.2
X = Cos¹ 0.2
X = 78.46°
Hence the value of x in degrees will be x=78.46
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what will 7dozen of pencil cost at 1k per dozen
Answer: $7000
Step-by-step explanation:
7 * 1000 = $7000
NEED help pls ty. Will mark brainliest
please help me get a A
Answer:
y = 1/2 x.
Step-by-step explanation:
Each value of y is 1/2 of x.