Each year, your account is multiplied by 1.05 (5% increase). Thus, after 5 years, your account would have been multiplied by that value 5 times.
[tex](1.05)^5=1.27628...[/tex]
Thus, the total percent increase would have been 27.6% (rounded to the nearest tenths).
The school play has two leading roles. The play's director decides to choose the leading actors by drawing two names from a hat that contains the names of four students who want the lead parts. You and your best friend both want to be leads. What is the probability that you will be selected first, and then your best friend will also be selected for a leading role? A. 1/4 B. 1/8 C. 1/12 D. 1/16
Answer:
1/12
Step-by-step explanation:
Answer:
The answer is: C. 1/12
Step-by-step explanation:
I know this is correct because I have the same question on my assignment and it was right.
The diagram shows two shapes A and B. Prove that both of them have equal perimeter.
Answer:
see explanation
Step-by-step explanation:
Calculate the perimeters by summing the measures of the sides.
Left figure ( starting with base and summing clockwise )
x + 5 + (x - 6) + (y - 5) + 6 + y ( brackets are the measure of the indents )
= x + 5 + x - 6 + y - 5 + 6 + y
= 2x + 2y
Right figure ( starting with base and summing clockwise )
x + 2 + (x - 3) + (y - 2) + 3 + y
= x + 2 + x - 3 + y - 2 + 3 + y
= 2x + 2y
Both figures have perimeters of 2x + 2y cm
A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
o 10
013
0 31
O 34
Answer:c.31
Step-by-step explanation:
The value of function f (1) is,
⇒ f (1) = 31
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
A sequence is defined by the formula,
⇒ f (n+1) = f(n) - 3
Now, We can find the value of f (1) as;
Here, f (4) = 22
Put n = 3;
⇒ f (n+1) = f(n) - 3
⇒ f (3+1) = f(3) - 3
⇒ f (4) = f (3) - 3
⇒ 22 = f (3) - 3
⇒ 22 + 3 = f(3)
⇒ f(3) = 25
Put n = 2;
⇒ f (2+1) = f(2) - 3
⇒ f (2+1) = f(2) - 3
⇒ f (3) = f (2) - 3
⇒ 25 = f (2) - 3
⇒ 25 + 3 = f(2)
⇒ f(2) = 28
Put n = 1;
⇒ f (n+1) = f(n) - 3
⇒ f (1+1) = f(1) - 3
⇒ f (2) = f (1) - 3
⇒ 28 = f (1) - 3
⇒ 28 + 3 = f(1)
⇒ f(1) = 31
Thus, The value of function f (1) is,
⇒ f (1) = 31
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Which equation describes the same line as y -3 equals -1 (x + 5)?
Answer:
y=-x-2
Step-by-step explanation:
y-3=-x-5
y=-x-2
Kelly needed to use 3 pounds 15 ounces of clay to make a bowl and twice as much to make a vase. If she had a 12-pound bag of clay available, did she have enough clay to make both items?
Answer:
yes
Step-by-step explanation:
so first you would convert pounds into ounces (It's easier for me)
and there are 16 ounces in one pound so for 3 pounds you would have 48 ounces then add the 15 ounces to get 63 ounces and if she needs twice as much to make a vase she would need 126 ounces for a vase then you would add the other 63 to that to get a total of 189 ounces of clay in order to create the bowl and vase, and in order to find out how many ounces are in a 12 pound bag you would just multiply 12 by 16 to get 192 ounces. So yes she does have enough clay to make a bowl and a vase.
What is the value of a for the exponential function in the
graph represented in the form of f(x) = a(b)?
O -4
O -3
O 3
O 4
Answer:
Option (4)
Step-by-step explanation:
If the given exponential function is in the form of f(x) = [tex]a(b)^x[/tex]
From the graph we find that two points (0, 3) and (0.5, 6) lie on the graph.
For (0, 3),
f(0) = [tex]a(b)^0[/tex]
3 = a
For (0.5, 6),
f(0.5) = [tex]3(b)^{0.5}[/tex]
6 = [tex]3\sqrt{b}[/tex]
[tex]\sqrt{b}=2[/tex]
b = 4
Therefore, value of b in the given function 'f' is 4.
Option (4) will be the answer.
Answer:
(D) 4
Step-by-step explanation:
♥☺
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% of this population prefers the color red. If 14 buyers are randomly selected, what is the probability that exactly 2 buyers would prefer red
Answer:
The probability that exactly 2 buyers would prefer red car is 0.0317.
Step-by-step explanation:
Let the random variable X represent the number of buyers would prefer red car.
The probability of the random variable X is, p = 0.40.
A random sample of n = 14 buyers are selected.
The event of a buyer preferring a red car is independent of the other buyers.
The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.
The probability mass function of X is:
[tex]P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...[/tex]
Compute the probability that exactly 2 buyers would prefer red car as follows:
[tex]P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}[/tex]
[tex]=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317[/tex]
Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.
A moving van’s cargo area has a maximum volume of 480 cubic feet. Allie is transporting boxes of two sizes: 12 cubic feet and 5 cubic feet. If she wants to carry more than 3 times as many of the smaller boxes, what is the maximum number of larger boxes that she can fit in the van? A) 15 B) 16 C) 17 D) 18
Answer: C) 17
Step-by-step explanation:
Let x be the number of large boxes
As per given,
Number of small boxes= 3 × (number of large boxes)
i.e. Number of small boxes= 3x
Allie is transporting boxes of two sizes: 12 cubic feet and 5 cubic feet.
Total volume = 12 (number of large boxes) + 5(Number of small boxes)
= 12 x+ 5 (3x)
= 12x+15x
= 27x
A moving van’s cargo area has a maximum volume of 480 cubic feet.
[tex]\Rightarrow\ 27x \leq480[/tex]
Divide both sides by 27 , we get
[tex]x\leq17.78[/tex]
i.e. maximum value x can take = 17
So, the maximum number of larger boxes that she can fit in the van = 17.
Hence, the correct option is C) 17 .
On a ski lift, the distance between chairs is inversely proportional to the number of chairs. At a
ski resort, one lift has 80 chairs spaced 16 meters apart. What is the constant of variation.
A.1280 B.5 C.1/5 D.1/1280
Constant of variation = number of chairs/ spacing.
80/16 = 5
The answer is B.5
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Two complex roots
Step-by-step explanation:
A discriminant of a quadratic equation ax² + bx +c is:
D= √b²-4acFor the given function f(x)= 6x² - 5x + 3 the discriminant is:
D= √(-5)² - 4*6*3= √25- 72 = √-47= i√47Since it has i element, the roots are complex
Correct option is the first one
The net of the figure shown is made of which set of
shapes?
3 triangles and 1 square
3 triangles and 1 rectangle that is not a square
4 triangles and 1 square
4 triangles and 1 rectangle that is not a square
Answer:
Step-by-step explanation:
The sides of the base are each 5 inches. We see 4 right angles so that we are dealing with a square.
The triangles look to be isosceles. In any event there are 4 of them. So the answer is the 3rd one down.
Answer:
C
Step-by-step explanation:
There are 6 different colored pens in a box. Each pen has a unique color. In how many orders can 4 pens be chosen? In other words, what is the number of permutations of picking 4 pens from the box?
Answer:
360 different permutations.
Step-by-step explanation:
It goes 6*5*4*3 because as you pick the pens the amount of pens in the jar would obviously decrease. Picking one leaves you with 5 new options. If you repeat that 4 times then you are left with 360 options.
The number of permutations of picking 4 pens from the box is 6P4, or 6!/(6-4)! = 654×3 = 360.
We have 6 pens and we are picking 4 of them. The order in which we pick the pens matters, so we are dealing with permutations.
The number of permutations of n objects is given by n!, or n factorial. So, the number of permutations of 6 objects is 6!.
However, we need to divide by the number of permutations of the 2 pens that we are not picking. There are 2 pens that we are not picking, so the number of permutations of those pens is 2!.
Therefore, the number of permutations of picking 4 pens from the box is 6!/(6-4)! = 654×3 = 360.
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Pls answer the 9th question...plsss fast
Answer:
i) x = 65° ii) x = 60° iii) x = 34°
y = 50° y = 80° y = 124°
Step-by-step explanation:
i) x = 180-115= 65°
y = 65+65= 130
= 180-130= 50°
ii) x = 90+30= 120
180-120= 60°
y = 60+20= 80
180-80 = 100
180-100= 80°
iii) y = 34+90= 124
x = 180-124= 56
56+90= 146
180-146= 34°
I hope this helped, mark me brainliest please :)
What is the perimeter of the rectangle?
Answer:
32
Step-by-step explanation:
P=2(l+w)
so 2(11+5)=P
2(11+5)=32
Triangles ABC and EDC are outlined on a bridge. The triangles share vertex C and angles D and B are right angles. A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 5x − 5 and EC = 3x + 9, find the distance between the top and bottom of the bridge, in feet.
CHECK THE ATTACHED FIQURE FOR THE BRIDGE
Answer:
60 ft
Step-by-step explanation:
From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that
triangles ABC and EDC are congruent then we can say
side EC = side AC
3x + 9 = 5x - 5
Then we can simplify to know value of x
3x + 14= 5x
2x = 14
x = 7
But we know that AC= 5x - 5 , then substitute value of x into it
AC = 5x + 5 = 5(7) - 5
= 35 - 5
AC= 30 ft
Also EC= 3x + 9 then substitute value of x into it
EC = 3x + 9 = 3(7) + 9
= 21 + 9
EC= 30 ft
Then the the distance between the top and bottom of the bridge, in feet, = EC+AC
= 30 + 30 = 60 ft
Answer:
60 ft
Step-by-step explanation:
i did the test
Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°.
Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15.
Which angle measures are correct? Select three options.
Answer:
Fist if all u will draw ur Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Secondly u will draw ur Parallel lines or angle.
Answer:
a c e
Step-by-step explanation:
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
Answer:
Yes, this is a right triangle.Step-by-step explanation:
Hypotenuse always have the highest number than base and perpendicular.
Hypotenuse ( h ) = 15
Base ( b ) = 9
Perpendicular ( p ) = 12
Let's see whether the given triangle is a right triangle or not
Using Pythagoras theorem:
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
Plugging the values,
[tex] {15}^{2} = {12}^{2} + {9}^{2} [/tex]
Evaluate the power
[tex]225 = 144 + 81[/tex]
Calculate the sum
[tex]225 = 225[/tex]
Hypotenuse is equal to the sum of perpendicular and base.
So , we can say that the given lengths of the triangle makes a right triangle.
Hope this helps..
Best regards!!
Answer:
[tex]\boxed{Yes.}[/tex]
Step-by-step explanation:
To solve this equation, we can use the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are regular side lengths and [tex]c[/tex] is the hypotenuse.
The hypotenuse is the longest side of a triangle and is assigned to the [tex]c[/tex]-variable.The other two side lengths can be assigned to either [tex]a[/tex] or [tex]b[/tex] because of the commutative property: [tex]a + b = b + a[/tex].Now, just substitute the side lengths into the formula and solve!
[tex]9^2 + 12^2 = 15^2[/tex] Simplify the equation by taking each value to its power.
[tex]81 + 144 = 225[/tex] Simplify by adding like terms.
[tex]225 = 255[/tex]
Therefore, this is indeed a right triangle.
Sergei runs a bakery. He needs at least 175 kilograms of flour in total to complete the holiday orders he's received. He only has 34 kilograms of flour, so he needs to buy more. The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the smallest number of bags as possible and get the amount of flour he needs. Let F represent the number of bags of flour that Sergei buys.
Answer:
Step-by-step explanation:
34+23F=175
23F=175-34=141
F=141/23≈6.13
so he buys more 7 bags
Using proportions, it is found that Sergei needs to buy 7 bags.
-----------
This question is solved by proportions, using a rule of three.He has 34 kilograms of flour.He needs 175 kilograms.Thus, he needs to buy 175 - 34 = 141 kilograms.Each bag contains 23 kilograms. How many bags are needed for 141 kilograms?1 bag - 23 kilograms
x bags - 141 kilograms
Applying cross multiplication:
[tex]23x = 141[/tex]
[tex]x = \frac{141}{23}[/tex]
[tex]x = 6.1[/tex]
Rounding up, he needs to buy 7 bags.
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Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 3?
Answer as a fraction = 1/18
Answer in decimal form (approximate) = 0.0556
Answer in percent form (approximate) = 5.56%
========================================================
Explanation:
We have 6*6 = 36 ways to roll out two dice. I recommend making a chart to show all the possible outcomes. You can search online for a "dice chart" or "sum of dice chart" and one will be made for you. The chart is a handy reference to see all the outcomes.
Of those 36 total outcomes, only 2 outcomes have the dice add to 3. Those two outcomes are 1+2 and 2+1.
So the number of events we want is 2 out of 36 total, meaning 2/36 = 1/18 is the probability.
Using your calculator, you should find that 1/18 = 0.0556 approximately, which converts over to 5.56% roughly.
The probability the sum of the two numbers on the die will be 3 is 5.56% roughly.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
Two 6-sided dice are rolled. We need to find the probability the sum of the two numbers on the die will be 3.
We have 6 x 6 = 36 ways to roll out two dice.
Out of those 36 total outcomes, only 2 outcomes have the dice add to 3.
Those two outcomes are 1+2 and 2+1.
Thus, the number of events we want is 2 out of 36 total,
2/36 = 1/18 is the probability.
1/18 = 0.0556 approximately, which converts over to 5.56% roughly.
Therefore, the probability the sum of the two numbers on the die will be 3 is 5.56% roughly.
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The length of a room is 9 metres. Its floor is tiled by using 96 square tiles of 0.75 m x 0.75 m each. What is the breadth of the room?
Answer:
The breadth of the room is 6 metres
Answer:
Step-by-step explanation:
Side of a tile= a = 0.75 m
Area of one square tile = a² = (0.75)² = 0.5625 m²
Area of 96 square tiles = 0.5625 * 96
Area of the room = area of 96 square tiles
length * breadth = 0.5625 * 96
9 * breadth = 0.5625 * 96
breadth = [tex]\frac{0.5625*96}{9}\\\\[/tex]
breadth = 6 m
Which statement about the function is true? The function is positive for all real values of x where x > –4. The function is negative for all real values of x where –6 –3. The function is negative for all real values of x where x < –2.
Answer:
Which statement about the function is true?
The function is positive for all real values of x where
x > –4. <<<CORRECT
The function is negative for all real values of x where
–6 < x < –2.
The function is positive for all real values of x where
x < –6 or x > –3.
The function is negative for all real values of x where
x < –2.
Step-by-step explanation:
November Edge 2021
Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.
What is parabola?A parabola is a plane curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits several seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
The graph of the function f(x) = (x + 2)(x + 6) is a downward facing parabola that intersects the x-axis at x = -6 and x = -2.
Therefore, we can conclude that the function is negative for all real values of x where x < -6 or x > -2 (outside the x-intercepts).
The function is positive for all real values of x where x lies between the x-intercepts, which means -6 < x < -2.
Therefore, the statement that is true is: "The function is negative for all real values of x where x < -6 or x > -2. The function is positive for all real values of x where -6 < x < -2."
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Your question seems incomplete, the probable complete question is:
Which statement about the function is true?
O The function is positive for all real values of x where
The function is negative for all real values of x where
-6exs-2.
O The function is positive for all real values of x where
X-6 orr-3
O The function is negative for all real values of x where
x<-2
juice is $1.79 for 8-4.23 ounce boxes. What is the unit price
Answer:
I believe the unit price would be 2.39 per unit
Step-by-step explanation:
HELP PLEASE
Carmen received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.44 per pound. After buying the coffee, she had $37.80 left on her card. How many pounds of coffee did she buy?
Answer:
Carmen bought 5 pounds of coffee
Step-by-step explanation:
The cost of buying coffee is $8.44 per pound. Let us assume she bought x pound of coffee, this means that she spent $8.44x on coffee.
She went to the coffee store with $80 gift card and left with $37.80, this means that after spending $8.44x from the initial $80, she had $37.80. To find the number of pounds she bought, we are to use the following equation:
80 - 8.44x = 37.80
8.44x = 80 - 37.80
8.44x = 42.2
x = 42.2/ 8.44 = 5
x = 5 pounds.
Carmen bought 5 pounds of coffee
Two circles are drawn below. The diameter of the smaller circle is a radius of the larger circle. What is the ratio of the smaller circle's circumference to the larger circle's circumference? Give your answer in fully simplified form. It should look like "x:y", where x and y are replaced by integers. [asy] size(4cm); pair o=(0,0); pair x=(0.9,-0.4); draw(Circle(o,sqrt(0.97))); draw(Circle((o+x)/2,sqrt(0.97)/2)); dot(o); dot(x); dot(-x); draw(-x--x); [/asy] Hint(s): Read the question carefully. Does it ask about a ratio of areas? Of radii? Of diameters? Of circumferences? Which question did you answer? Which was asked?
Answer:
1 : 2
Step-by-step explanation:
The ratio is ...
small dia : large dia = 1 : 2 = small circumference : large circumference
__
Further explanation
The diameter of the small circle is the radius of the large circle. Since the large circle's diameter is twice the length of its radius, the ratio of circle diameters is ...
small : large = 1 : 2
We multiply the diameter by π to get the circumference. Multiplying both these numbers by π will give the ratio of the circumferences. In order to reduce the ratio to lowest terms we must divide by π again:
dia ratio = circumference ratio = lowest terms ratio
1 : 2 = π : 2π = 1 : 2
Answer: 1:2
Step-by-step explanation:
A bag contains 1 blue, 2 green, and 3 red marbles, as shown. 1 blue marble, 2 green marbles, and 3 red marbles. What is the probability of drawing a green marble out of the bag without looking? StartFraction 1 over 6 EndFraction One-fifth One-third One-half
Answer:
1/3!
Step-by-step explanation:
Good Luck On Whatever You Needed This For!
The probability of drawing a green marble out of the bag without looking is 1/3.
Given that, a bag contains 1 blue, 2 green, and 3 red marbles.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Total number of outcomes =1+2+3 =6
Number of favorable outcomes = 2
Now, probability of drawing green marble
= 2/6
= 1/3
Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.
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I will make u brainliest n give u five stars if u answer this right Pls find the area oh H in mm squared
Answer:
[tex]24200 mm^{2}[/tex]
Step-by-step explanation:
200*50+200*50+70*60
=24200 mm^{2}
The confidence interval for the water consumption of a certain plant is 5 gallons to 13 gallons per year. The level of confidence is 95%. What is the average consumption and the margin of error?
Answer:
Average consumption ( mean ) = 9
MOE = 4
Step-by-step explanation:
We know that
CI ( 5 ; 13 )
and CI [ μ - MOE ; μ + MOE ]
From the above relations we get
μ - MOE = 5
μ + MOE = 13
Adding member to member these two equations we get
2*μ = 18
μ = 9 and MOE = 13 - 9
MOE = 4
What is the probability of any particular pair being chosen?
74 divided by 3 times 7 equals what?
Answer:
518 / 3.
Step-by-step explanation:
(74 / 3) * 7 = (74 * 7) / 3 = 518 / 3 = 172 and 2/3 = 172.6666666667.
Hope this helps!
Marked price of a camera is Rs.5000. If it
sold at 15% discount, what will be discount amount?
The discount is 15%, multiply the price y 15%:
5000 x 0.15 = 750
The discount is 750