Answer:
we know that the probability of drawing black card is 26/52. Probability of drawing a king is 4/52
Step-by-step explanation:
Algebra 2 2.11 system of Linear inequalities
Answer:
Constraints;
T + F ≤ 2000
4t ≥ F
T ≥ 0
F ≥ 0
Step-by-step explanation:
T- Technology stock
F - food stocks
T + F ≤ 2000
4t ≥ F
T ≥ 0
F ≥ 0
Now one has to use linear programming to solve this problem.
its first year of operation Big Lake Camp had 40 campers this year the tents was under 80% of the first year how many campers participated this year
Last month, a truck driver made
5 round-trips to Los Angeles and some round-trips to San Diego.
Write an expression that shows how many miles he drove in all.
Identify and describe the part of the expression that shows how
many miles he drove and trips he made to San Diego.
Example Answer:
You could represent a round trip to Los Angeles with the variable: x
You could represent the number of miles in a round trip to Los Angeles with the variable: a
You could represent a round trip to San Diego with the variable: y
You could represent the number of miles in a round trip to San Diego with the variable: b
your equation would be: xa + yb
Factoring in what we know, the example equation would be:
5a + yb
Answer please I’ll give extra points !
How many 1/3 1b. portions can you get out of a 6 2/3 bag of nuts?help me pls
Answer:
20
Step-by-step explanation:
Divide 6 2/3 by 1/3
Answer:
I think the answer would be 20
List the six (6) trigonometric ratios for the angle 2(pi)/3 using the unit circle.
The six trigonometric ratios are [tex]\sin{\theta}\\[/tex], [tex]\cos{\theta}[/tex], [tex]\tan{\theta}\\[/tex], [tex]\csc{\theta}\\[/tex], [tex]\sec{\theta}\\[/tex], [tex]\cot{\theta}\\[/tex]
[tex]\sin{\frac{2\pi}{3}} = \sin{\frac{\pi}{3}} = \frac{\sqrt{3}}{2}\\\cos{\frac{2\pi}{3}} = \cos{\frac{\pi}{3}} = \frac{1}{2}\\\tan{\frac{2\pi}{3}} = \tan{\frac{\pi}{3}} = \frac{\sin{\frac{\pi}{3}}}{\cos{\frac{\pi}{3}}} = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}} = \frac{2\sqrt{3}}{2} = \sqrt{3}\\\csc{\frac{2\pi}{3}} = \csc{\frac{\pi}{3}} = \frac{1}{\sin{\frac{\pi}{3}}} = \frac{1}{\frac{\sqrt{3}}{2}} = \frac{2}{\sqrt{3}}} = \frac{2\sqrt{3}}{3}\\[/tex]
[tex]\sec{\frac{2\pi}{3}} = \sec{\frac{\pi}{3}} = \frac{1}{\cos{\frac{\pi}{3}}} = \frac{1}{\frac{1}{2}} = \frac{2}{1} = 2\\\cot{\frac{2\pi}{3}} = \cot{\frac{\pi}{3}} = \frac{1}{\tan{\frac{\pi}{3}}} = \frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{3}[/tex]
What is the answer? I need help quick!
Answer:
The answer is point C
Step-by-step explanation:
to make it easier to solve, think of it this way, point c and a are on the same "line",and point A is on the line under pi over 6. We know that pi over 12 is less than pi over 6, so that could potentially be the line that both points are on if that makes sense. We can also see that the real axis has the value of pi, and that point C is the value less than that. Also, point C is in the direction of where the negative "x values" would be
Answer:
B. is the right answer
Step-by-step explanation:
[tex]x = - 6 \\ y = \frac{\pi}{12} \\ ( - 6,\frac{\pi}{12} )[/tex]
Complete the equation: 43 in =ft .
Answer:
3.58333 feet
Step-by-step explanation:
solve for x please refer to image
Answer:
x = 40
Step-by-step explanation:
Sum of interior angle of an n-polygon = (n - 2)*180
The polygon given is pentagon with 5 sides.
Sum of the polygon = (5 - 2)*180 = 540°
Therefore, sum of all its interior angles would be:
5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°
Solve for x
5x + 150 + 3x - 30 + 70 + 2x - 50 = 540
Collect like terms
5x + 3x + 2x + 150 - 30 + 70 - 59 = 540
10x + 140 = 540
10x = 540 - 140 (Subtraction property of equality)
10x = 400
x = 400/10 (division property of equality)
x = 40
The length of a cell phone is
1.4 inches and the width is
4.4 inches. The company making the cell phone wants to make a new version whose length will be
1.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
The width of new phone = 5.5 inches
Step-by-step explanation:
Given that:
Length of cell phone = 1.4 inches
Width of cell phone = 4.4 inches
Ratio of length to width = 1.4 : 4.4
Length of new version = 1.75 inches
Width of new version = x
Ratio of length to width = 1.75 : x
As the relation is proportional;
[tex]1.4:4.4 ::1.75:x[/tex]
Product of mean = Product of extreme
4.4 * 1.75 = 1.4x
7.7 = 1.4x
1.4x = 7.7
Dividing both sides by 1.4
[tex]\frac{1.4x}{1.4}=\frac{7.7}{1.4}\\x=5.5\\[/tex]
Hence,
The width of new phone = 5.5 inches
Michael has been saving his money and wants to invest it. After doing some research, he has decided to invest $20,000 into a Certificate of Deposit. The interest rate on the CD is 3% with a term of five years, and the interest is paid out annually. Based on recent inflation, Michael is planning on an annual inflation rate of 2%. How much interest will Michael earn on this CD in the first year, based on the real interest rate? $200 $600 $1,000 $1,400
IT IS NOT $600!!! THE CORRECT ANSWER IS $200 ON EDGE2020
Answer:
Interest earned= $200
Step-by-step explanation:
Giving the following information:
Initial investment= $20,000
Interest rate= 3%
Inflation rate= 2%
First, we need to calculate the real interest rate. The inflation rate decreases the value of money through time. We need to deduct from the interest rate, the inflation rate.
Real interest rate= 0.03 - 0.02= 0.01
Now, we can calculate the interest earned in year 1:
Interest earned= PV*(1+i)^n - PV
Interest earned= 20,000*(1.01^1) - 20,000
Interest earned= $200
Answer:
200
Step-by-step explanation:
pls help asap no trolls!!
Need this now plz
The formula for the area of a rectangle is A = l ∙ w, where A = area, l = length and w = width.
The area of a rectangle with a length of 12 inches and width of 5 inches is _____ square inches.
For the open space
A 34
B 17
C 60
Answer:
c.60
Step-by-step explanation:
12 x 5 = 60
Answer:
now you can give them brainlest
A caterpillar moves across the grass at a rate of 423 feet every 7 minutes. How fast does the caterpillar move in feet per minute?
i need help with this question
9514 1404 393
Answer:
11/20
Step-by-step explanation:
It is appropriate to "invert and multiply".
[tex]\dfrac{5}{20}\div\dfrac{5}{11}=\dfrac{5}{20}\times\dfrac{11}{5}=\dfrac{5\times11}{5\times20}=\boxed{\dfrac{11}{20}}[/tex]
The distance a spring will stretch varies directly with how much weight is attached to the spring if a spring stretches 11 inches is 75 pounds attached how far will it stretch with 65 pounds attached round to the nearest 10th of an inch
Answer:
the weight that attached to the spring is 9.5 inches
Step-by-step explanation:
The computation is shown below:
inches per pound is
= 11 inches ÷ 75 pounds
Now for 65 pounds, it would be
= 11 inches ÷ 75 pounds × 65 pounds
= 9.5 inches
Hence, the weight that attached to the spring is 9.5 inches
The same is relevant and considered
A hiker travels at 2.8 miles per hour at a heading of N49°W from a ranger station. After 4 hours, how far north and how far west is the hike from the ranger station?
Answer:
Step-by-step explanation:
The diagram showing the pictorial view is attached below.
From the image, the distance of the hiker traveled which is denoted by "h" can be determined as follows:
h = 2.8 mi/hr × 4 hr
h = 11.2 mi
Using the trigonometric function;
The distance of how far North is the hike from the ranger station can be determined by using the function of Sin θ
[tex]Sin \theta = \dfrac{opposite}{hypotenuse}[/tex]
[tex]Sin(41^0) = \dfrac{x}{11.2}[/tex]
x = Sin 41 (11.2)
x = 0.6561(11.2)
x = 7.34832
x ≅ 7.35 miles
The distance of how far west the hike from the ranger station is calculated by using:
[tex]cos \theta = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]cos (41^0)= \dfrac{y}{11.2}[/tex]
y = 0.7547 × (11.2)
y = 8.45 miles
The coordinates of the vertices of a quadrilateral are J (2,1) W(2,-1) U(-2, 2). Quadrilateral JWUL is translated 5 units to the right and 3 units up to create quadrilateral J’W’U’L’
Which coordinates of the vertices of the quadrilateral J’W’U’L’
Answer:
J(7,4)
W(7,2)
U(3,1)
L(3,5)
Ryan drove 480 miles and used 20 gallons of gas. How many miles did Ryan’s car get per gallon? Write an equation that would solve this problem.
A submarine out of death of 2167 feet ascends to a depth of 609ft. How far did the submarine ascend?
Answer:
A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new ... Roman Civilization began in 508 B.C. and ended in 476 A.D. How long did Roman Civilization last? 476-(-508) = 476+508 = 984 ...
Solve the following polynomial:
(
x
−
2
)
2
(
x
+
2
)
4
(
x
−
5
)
2
Answer: 16 • (x - 2) • (x + 2) • (x - 5)
Step-by-step explanation: 1
(((2•(x-2)•(x+2))•4)•(x-5))•2
STEP
2
:
Equation at the end of step 2
((2•(x-2)•(x+2)•4)•(x-5))•2
STEP
3
:
Equation at the end of step 3
(8 • (x - 2) • (x + 2) • (x - 5)) • 2
STEP
4
:
Equation at the end of step 4
8 • (x - 2) • (x + 2) • (x - 5) • 2
STEP
5
:
Final result :
16 • (x - 2) • (x + 2) • (x - 5)
Chloe is making brownies that call for 4 large eggs to make 16 brownies. How many eggs will she need if she wants to make 40 brownies but keep the same great recipe flavor ?
Answer: 10 eggs
Step-by-step explanation:
you need to divide 40 by 16 then you multiply that by 4 and you get 10.
Triangular prism surface area
Answer:
what
Step-by-step explanation:
solve the equation: the booster club of the baseball team bought pizza to sell at a concession stand. the school donated three pies to the sale. each pie was then cut into 8 pieces and sold . there were a total of 64 pieces to sell. how many pies did the booster club purchase
Answer:
Booster club purchased 5 pies.
Step-by-step explanation:
Let the number of pies purchased by booster club be represented by n. The school also donated 3 pies to sell.
So that,
Total number of pies = n + 3
Given that there was 64 pieces of pies to sell after cutting each pie into 8 pieces.
Thus,
8( n + 3) = 64
8n + 24 = 64
8n = 64 - 24
8n = 40
Divide both sides by 8 to have,
n = 5
The number of pies purchased by booster club is 5.
Is 42,260 irrational or rational
Answer:
irrational
Step-by-step explanation:
A bacteria culture starts with 900 900 bacteria and grows at an exponential rate. After 4 4 hours there will be 3600 3600 bacteria. Give your answer accurate to at least 4 decimal places.
Answer:
R = 41.42% (Approx)
Step-by-step explanation:
Given:
Current bacteria P = 900
Future bacteria A = 3,600
Amount of period = 4 hour
Find:
Growth rate r
Computation:
A = p[1+r]ⁿ
3,600 = 900[1+r]⁴
4 = [1+r]⁴
1.4142 = 1+r
r = 0.4142
R = 41.42% (Approx)
Help me answer the question in the attached document pleaseeee
Answer:
1. Yes
2. No
3.No
Step-by-step explanation:
Dana had 92€ until she spent 1 quarter. How much money does dana have now?
Answer:
67
Step-by-step explanation:
because a quarter is 25 cent and dana had 92 so all u have to do is take away 25 and you will get 67
96 cm
с
B
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
cm
AB =
Answer:
The length of AB is 48 centimeters.
Step-by-step explanation:
According to the given information, AC is the hypotenuse of the right triangle, since it is opposed to a right angle (angle B). BC is the leg adjacent to angle B, whereas AB is the leg opposed to angle C. Then, we can find the length of AB by the following trigonometric identity:
[tex]\sin C = \frac{AB}{AC}[/tex] (1)
If we know that [tex]AC = 96\,cm[/tex] and [tex]C = 30^{\circ}[/tex], then the length of [tex]AB[/tex] is:
[tex]AB = AC\cdot \sin C[/tex]
[tex]AB = (96\,cm) \cdot \sin 30^{\circ}[/tex]
[tex]AB = 48\,cm[/tex]
The length of AB is 48 centimeters.
If you borrow $758 for two years at an interest rate of 6% how much Interest will you pay?
Answer:
$90.96
Step-by-step explanation: