Answer:
Step-by-step explanation:
Connor is correct. Powers are added when letters of the same base are multiplied; powers are not multiplied for this kind of problem.
3*10^5 *6* 10^8 * 3*10^9 * 6 * 10^10 = 3*10^14 * 6*10^18
Find cos ø.
(Give your answer in lowest terms)
The value of cos ø, for the given coordinates (8, 6), is 4/5 in the lowest terms.
To find the value of cosine (cos) ø, we need the coordinates (8, 6) of a point on the unit circle.
The unit circle is a circle with a radius of 1, and the coordinates (8, 6) do not lie on the unit circle. However, we can use these coordinates to calculate the cosine value indirectly.
First, we need to find the hypotenuse (r) of the right triangle formed by the coordinates (8, 6). We can use the Pythagorean theorem:
r = √(8² + 6²) = √(64 + 36) = √100 = 10
Now, we can find the cosine value by dividing the adjacent side length (x-coordinate) by the hypotenuse:
cos ø = 8 / 10 = 4/5.
To learn more about cosine function;
https://brainly.com/question/29277391
#SPJ1
Help me pls pls pls
The age of Mark’s dad is 4 less than twice Mark’s age. The sum of their ages is 95. Find their ages.
Answer:
mark is 33. his dad is 62
Step-by-step explanation:
−90 = −100 + x What value of x makes this equation true?
Answer:
x would equal 10
hope this helps :D
Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green
Answer:
1/4
Step-by-step explanation:
4 skittles and one being green
Answer:
4/5
Step-by-step explanation:
According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.
If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true?
Answer:
its b
Step-by-step explanation:
i took the test
Answer:
Step-by-step explanation:
x + 12 ≤ 2x − 3 that's the answer
Figure Y is the result of a transformation on Figure X. Which transformation would accomplish this?
A. a reflection over the x -axis
B. a rotation 90° clockwise about the origin
C. a rotation 180° counterclockwise about the origin
D. a translation 10 units to the left and 10 units down
A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point X (0, 4) → Coordinates of point Y = (0, -4)
Coordinates of point X (1, 3) → Coordinates of point Y = (-1, -3)
In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.
Read more on rotation here: brainly.com/question/28515054
#SPJ1
8. What angle do the hour and minute hands of a clock form when it is exactly 9.00p.m.?
Answer:
90 degrees
Step-by-step explanation:
please say thanks
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Can some one answer the picture
Step-by-step explanation:
1. 9(x - 2) = 7x + 5
9x - 18 = 7x + 5
-7x. -7x
2x - 18 = 5
+18. +18
2x = 23
÷ ÷
2x. 2x
x = 11.5
2. 2x + 8 = -3.5x + 19
+3.5x. +3.5x
5.5x + 8 = 19
-8. -8
5.5x = 11
÷ ÷
5.5x. 5.5x
x = 2
3. 3(3x + 2) -2x = 7x + 6
9x + 6 - 2x = 7x + 6
7x + 6 = 7x + 6
-6. -6
7x = 7x
-7x. - 7x
0 = 0
S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was
The maximum temperature during summer in that year was 34°C.
It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.
A temperature rise of that magnitude would be extremely unusual and potentially dangerous.
However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.
The minimum temperature in January was -10°C, and if we add 44°C to it, we get:
-10°C + 44°C = 34°C
Therefore, the maximum temperature during summer in that year was 34°C.
for such more question on temperature
https://brainly.com/question/14820864
#SPJ11
The ratio of black marbles to red marbles is 3:2. If there are a total of 25 marbles in a bag,
how
many
black marbles are in the bag?
Answer:
15 black marbles
Step-by-step explanation:
So its. A ratio (basically a fraction)
3/2
we add them up so we know how much marbles but not which kind
so we get 5
now we know for every 5 batches there is 3 black and 2 red
so we divide 25/5 to get 5
now we know there are 5, 5 batches of black ad red marbles.
now black is 3 of them so we multiply 5(3) which is 15
Now red is 2 of them so we multiply 5(2). Which is 10
now to check, if we add them up, they equal to 25 which is correct.
basically add the fraction, divide that by the original number, time the quotient by each number in the fraction.
Answer:
There are a total of 15 black marbles in the bag.
Step-by-step explanation:
Well, we know that for every 3 black marbles, there are 2 red marbles. In order to solve this problem, we just need to keep adding equivalent ratios with a proportional relationship until the sum of both numbers is 25.
3:2, 6:4, 9:6, 12:8, 15:10
Since 15 + 10 = 25, we can stop here.
Since the number in front of the colon is the amount of black marbles, then there are a total of 15 black marbles in the bag.
Hope this helps! :D
How would you express the Raptors’ wins to games played as a ratio?
Soccer season = 35 games
Raptors: Played 10, Won 6
Answer:
3:5 or 3 to 5 or \(\frac{3}{5}\)
Step-by-step explanation:
\(\frac{6}{10}\) ÷\(\frac{2}{2}\) = \(\frac{3}{5}\)
Helping in the name of Jesus.
Based on the demand graph and the supply graph shown above, what is the price at the point of equilibrium?
A. 100
B. 70
C. 40
D. There is not enough information given to determine the point of equilibrium
B. 70
I took the test on Edge 2022
This shows the trapezoid cut into two triangles what are the areas of the two triangles?
1: Calculate the volume of the block GIVEN:=5cm,width=4cm, length =3cm
Solution =
Answer:
volume=length ×breadth/width ×height
=3cm×4cm×5cm
=60cu.cm
Apples and tangerines were sold in the ratio of 6 to 4.
40
tangerines were sold. How many fruits were sold?
Answer:
100.
Step-by-step explanation:
By proportion the number of apples sold is (6/4) * 40
= 6 *10
= 60.
Total fruit = 40 + 60 = 100.
Which expression is equivalent to Z +( z 6?
None of the solutions are appropriate since the result of the equation z + (z+6) will be equal to 2z + 6.
An expression is defined.A mathematical expression is the result of combining a number of mathematical symbols with an arithmetic operator, a variable, and a constraint.
In a different sense, expression is highly helpful in identifying the root or end value of a constraint.
for instance, 3x + 5y
The expression restriction is denoted by the symbols = or, >.
Given the phrase,
z + (z+6)
opening the bracket
z + z + 6
⇒ 2z + 6
Hence
"2z + 6 will be the value of the equation z + (z+6)."
To know more about expression visit:
https://brainly.com/question/1859113
#SPJ4
A firm makes two products X and Y, and has a total production capacity of 9 tones per day, X and Y requiring the same production capacity. The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company. Each tone of X requires 20 machine hours of production time and each tone of Y requires 50 machine hours of production time. The daily maximum possible number of machine hour is 360. All the firm’s output can be sold, and the profit made is birr 80 per tone of X and birr 20 per tone of Y. it is required to determine the production schedule for maximum profit.
The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960
How to solve Linear Programming problems?We are told that two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity
The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.
Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;
x + y ≤ 9
x ≥ 2
y ≥ 3
Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;
20x + 50y ≤ 360
Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;
Z = 80x + 120y maximize
The solution from the graph attached is;
x = 3, y = 6
Thus, the maximum profit is;
Z = 80(3) + 120(6)
Z = 960
Read more about Linear Programming at; https://brainly.com/question/14309521
#SPJ1
Label midpoint 3.82 3.81
Answer:
3.815
Step-by-step explanation:
Find the local maxima and local minima for the given function and also find the local maximum and local minimum values f(x)=x 3 −6x 2 +9x+15
The local maxima and local minima for the given function is x= 3 and
x= 1.
Here,
\(f(x) = x^{3} -6x^{2} +9x +15 = 0\\f(x) = 3x^{2} -12x +9\)
In order to have local maxima and minima, f′(x) must equal 0.
\(f(x) =0 = > 3(x^{2} -4x+3)=0\\=3(x-3)(x-1) = 0\\ x=3,x=1\)
1) When x = 3
In this instance, f′(x) = 3(x-3)9x-1) is negative when x is little less than 3 and positive when x is slightly more than 3.
Hence, when x rises through 3, f′(x) turns from negative to positive.
Hence, x=3 is a local minimum.
Case 2, x = 1,
In this instance, f′(x) = 3(x-3) (x-1) is positive when x is little less than 1 and f′(x) is negative when x is slightly greater than 1. As x rises through 1, f′(x) sign's shifts from positive to negative.
Hence, x=1 is a local maximum point.
the value of local maximum = f(1) = 19
Learn more about local maxima here:
https://brainly.com/question/9005728
#SPJ4
Can anyone help me solve this question?
x = e^y
Step-by-step explanation:
Pick any point on the graph below for a solution:
Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.
Answer:
$4.5
Step-by-step explanation:
We apply sales tax to the total cost, which in this case is $40 + $50 = $90.
Thus, we have 5% * $90 = $4.5
It even works individually if you apply the tax to both orders separately and add them together:
(50 * 5%) + (40 * 5%) = 4.5
2.5 + 2 = 4.5
Please Help
3x^2-5x+2=0
Answer: C
Step-by-step explanation:
20 points
Use Pythagoras' theorem to work out the
height of the equilateral triangle below.
Give your answer in centimetres
(cm)
Answer:
9 × √3 cm or approximately 15.59 cm
Step-by-step explanation:
(look at the picture)
Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.
1204.2 + 4.72613 = [?]
The answer is not 1208.92613
The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.
What is an addition operation?An addition operation involves two addends added together to result in a number called the sum.
The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.
Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.
1204.2 + 4.72613
= 1208.92613
= 1208.93
Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.
Learn more about mathematical operations at brainly.com/question/20628271
#SPJ1
In a city election, two people ran against each other to be the next mayor. Candidate 1 received 24,000votes and candidate 2 received 80,000
.
Answer:
What is the question You are just stateing facts?
Step-by-step explanation:
find the value of a and b in the given figure
Answer:
a = 60°
b = 3cm
Step-by-step explanation:
Congruent angles
Parallel/congruent sides
BRAINLIEST please if this helped!Answer:
a=120 b=3
Step-by-step explanation:
For A you use 180-60 so you will get 120 for answer.
For B line PQ is parallel to line SR so 3 will be the answer
What is the slope of a line that is parallel to the line y = 3/4x+2?
O -4/3
O -3/4
O 3/4
O 4/3
As a result, the given line, y = 3/4x+2, and any line having a slope of 3/4 are parallel.
what is slope ?The slope of a line establishes its steepness. "Texture overflow" is the name of a gradient-related math problem (the change in y divided by the change in x). The sloping is the ratio of either the longitudinal (rise) to the horizontal (run) change in elevation between any two places. The gradient form of an equation is used to represent a linear relationship when its expression is expressed as y = mx + b. The y-intercept is situated where the slope of the line is m, b is c, and (0, b). For instance, either y-intercept and curve of something like the calculation y = 3x - 7 (0, 7). The line has a slope of m, a b value at the y-intercept, and (0, b). As
given
Given line equation, y = 3/4x + 2.
The slope of a line parallel to the supplied line must be determined.
Since every line parallel to the provided line will have the same slope as the supplied line since y = 3/4x+2,
Where, y = mx + c is the general equation of the line. m denotes the line's slope, and c the y-intercept.
Therefore, for the given line equation, y = 3/4x+2 Slope is m= 3/4 when we compare and.
As a result, the given line, y = 3/4x+2, and any line having a slope of 3/4 are parallel.
To know more about slope visit:
https://brainly.com/question/3605446
#SPJ1
(Pythagorean Theorem, Right Angle) for 100 POINTS!
(Will even give Branliest for this easy work)
Are these answers correct?
Step-by-step explanation:
there is nothing missing. this is a complete proof.
yes, the various steps are correct.