Answer:
4 Hz
Step-by-step explanation:
Formula: frequency = velocity/wavelength
f = 80/20
f = 4
Which ordered pair needs to be removed in order for the
mapping to represent a function?
(-3,-4)
(-2, -1)
(1, -3)
(3.7)
Answer:
1, -3
Step-by-step explanation:
I'm pretty sure it's that one because it doesn't fit with the others.
Help me find the mean of
68, 71, 75, 74, 77, 71, 73, 71, 72, 74, and 79.
Answer: 73.189 (rounded)
Step-by-step explanation:
Which of the pairs of angles are vertical angles and
thus congruent?
Answer:
When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. ... Two angles are said to be complementary when the sum of the two angles is 90°.
Step-by-step explanation:
Answer:
A+G
Step-by-step explanation:
:D
Which expressions are equivalent to
x+x+x+2?
Answer:
3x + 2
Step-by-step explanation:
x = 1x but leaving the x alone equals the exact thing.
If there are x + x + x, this means 3x since it is also
1x + 1x + 1x.
This is another expression for 3x + 2.
Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,3) and (3,6)
Answer:
1.5
Step-by-step explanation:
Plug in numbers into the distance formula.
y2-y1
____
x2-x1
6 - 3. 3
____. ___
3 - 5. -2
3/-2=-1.5
Answer:
3.6 or Sqrt(13)
Step-by-step explanation:
plug into distance formula
(3-5)^2 + (6-3)^2
4 + 9
Sqrt(13)
Sqrt(13) is equal to 3.6055127546
^ is rounded up to 3.6
Jody has a plastic container in the shape of a rectangular prism. The container is 8 1/2 inches long, 4 inches wide, and 3 1/2 inches high. What is the volume of this plastic container?
Answer:
=119 in ^3
Step-by-step explanation:
The volume of a rectangle prism is given by
V = l*w*h
Changing to decimal form
= 8 .5 * 4 * 3.5
=119 in ^3
Answer: 119^3
Step-by-step explanation:
To find out the volume of a rectangular prism you have to multiply length x width x height.
8.5 x 4 = 34
34 x 3.5 = 119^3
Today, everything at a store is on sale. The store offers a 20% discount.If the regular price of an item is x dollars, what is the discount price in dollars? Type the correct expression in the box below.
Answer:
0.80x dolllars
Step-by-step explanation:
20% discount of the total amount is
0.20 * x dolllars
So if you start with x dollars you need to subtract the discount to get the new (lower ) price.
x - (0.20 * x) dolllars
1* x - 0.20 * x
x * 1 - 0.20 * x
x * ( 1 - 0.20 )
x * ( 0.80 )
0.80x dolllars
The number y of raccoons in an area after x years can be modeled by the function y= 0.4x^2+2x+2. When were there about 45 raccoons in the area? Round your answer to the nearest year
Answer:
A timeframe of 8 years is when there were 45 raccoons in the area.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStandard Form:
[tex]\displaystyle ax^2 + bx + c = 0[/tex]
Quadratic Formula:
[tex]\displaystyle x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \begin{aligned}y & = 0.4x^2 + 2x + 2 \\y & = 45 \ \text{raccoons} \\\end{aligned}[/tex]
Step 2: Find Specific Year
We are trying to find the year when there were 45 raccoons present in the area. From first glance, we see we probably can't factor the quadratic expression, so let's set up to use the Quadratic Formula:
[Model Equation] Substitute in y:Now that we have our variables from Standard Form, we can use the Quadratic Formula to find which years when there were 45 raccoons present in the area:
[Quadratic Formula] Substitute in variables:Since time cannot be negative, we can isolate the other root to obtain our final answer:
[tex]\displaystyle\begin{aligned}x & = 8.16536 \ \text{years} \\& \approx \boxed{ 8 \ \text{years} } \\\end{aligned}[/tex]
∴ we have found the approximate amount of years to be 8 years when there were 45 raccoons in the area.
___
Learn more about Algebra I: https://brainly.com/question/16442214
___
Topic: Algebra I
The small box --------- similar to the large box. (is/is not)
The small box ---------similar to the medium box if the medium box has a width and height equal to (is/is not)
Answer: is not, 15 inches and 9 inches
Step-by-step explanation:
Answer:
1. is not
2. 15, 9 inches
Step-by-step explanation:
What is a intersection
Answer:
Intersection means a line common to other lines and an action of intersection/intersecting.
hope it helps!
Which prism has a volume of 6 cubic units? A prism has a length of 1 and one-half, height of 1, and width of 3. A prism has a length of 2, height of 1 and one-half, and width of 2. A prism has a length of 1 and one-fourth, height of 1, and width of 4. A prism has a length of 3, height of 1 and one-fourth, and width of 2.
Answer: The second prism with length of 2, height of 1 and one half, and a width of 2.
Step-by-step explanation:
2 * 1.5 * 2= 6
Answer:
B
Step-by-step explanation:
its B
Examine the equation. –3x + 18 = 7x What could you do to isolate the variable term to one side of the equation? Add 3x to both sides. Subtract 3x from both sides. Add 18 to both sides. Subtract 18 from both sides.
Answer:
You would add 3x to both sides. Then divide by 10 on both sides.
What to do to isolate the variable term to one side of the equation is to add 3x to both side
Given the equation, -3x + 18 = 7x, we need to isolate the variable term. To do that, we will follow the steps below;
Add 3x to both sides of the equation to have;
-3x + 18 + 3x = 7x + 3x
18 = 7x + 3x
Swap sides
7x + 3x = 18
10x = 18
Divide both sides by 10
10x/10 = 18/10
x = 1.8
From the steps above, what to do to isolate the variable term to one side of the equation is to add 3x to both side
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what place value is the 8 in in the number 475.082
The place value is the 8 in in the number given is 8 hundredths.
What is place value?The place value is the position of each digit in a number. The place value of digits is determined as ones, tens, hundreds, thousands,ten-thousands and so on, based on their position in the number.
The place value =
Ones, tens, hundreds, thousands, ten-thounsands.
Place value names to the right of the decimal work in a similar way, only given that they are given fractional names because, well, they're fractions of one:
tenths: 0.1 = 1/10
hundreths: 0.01 = 1/100
thousandths: 0.001 = 1/1000
ten-thousandths: 0.0001 = 1/10000
and so on.
As the 8 is in the second unit value over, that means it's in the hundredths place. That means that its value is eight hundredths.
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Tamika’s math test scores (out of 30) are 25, 28, 26, 25, 8, 29, 28, 24, 23.
a)What is the outlier in this set?
b) Why might Tamika’s teacher decide to remove this outlier when calculating the average for her report card?
c) Which average is affected more by the removal of the outlier, the mean or median? Justify your answer.
I WILL GIVE BRAINLIEST IF YOU ANSWER ALL THE 3 QUESTIONS GOOD.
Answers:
A.) 8 is the outlier in the set. It is the only number that doesn't match with the others. It is the furthest from the median of the numbers.
B.) The outlier could represent false information. It could greatly drop the number of the mean, or the average, range of the scores.
C.) The mean is affected more. The mean of a set of numbers is the average of the set. The median just locates the middle-most number. The median would not always give an accurate representation of the average of the set like the mean would.
Please Help!! In a discount store, 12% of the 100 cups in stock have some unnoticeable defect. What is the probability of buying 12 cups that don’t have any defect? And what is the probability of getting all 12 cups having a defect?
≈Answer:
a)What is the probability of buying 12 cups that don’t have any defect?
0.1955
b) And what is the probability of getting all 12 cups having a defect?
9.52 × 10⁻¹⁶
Step-by-step explanation:
In the question,we are given the following values:
12% of the 100 cups in stock have some unnoticeable defect.
The number of cups that have defect in stock is calculated as:
12/100 × 100 = 12 cups
The number of cups that doesn't have defect is calculated as:
Total number of cups in stock - Number of cups in stock that have defect.
100 - 12 = 88 cups
a) What is the probability of buying 12 cups that don’t have any defect?
Probability Formula = Number of events/ Number or possible outcomes.
The probability of buying cups that don't have any defect =
88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89 = 0.1955138721
Approximately = 0.1955
b) And what is the probability of getting all 12 cups having a defect?
Probability Formula = Number of events/ Number or possible outcomes.
= 12/100 × 11/99 × 10/98 × 9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89
= 9.519991996 ×10⁻¹⁶
Approximately = 9.52 × 10⁻¹⁶
What is a solution for the inequality y-7<-12
Answer:
y<-5
Step-by-step explanation:
y-7<-12
y<-5
Answer:
The answer is y is less than -5
Step-by-step explanation:
The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their family
The first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost?
answer:
82.0476 i think
Step-by-step explanation:
Answer:
82.04 dollars
i hope this was helpful
Step-by-step explanation:
Neil goes to the pet shop and selects a treat for his dog. He chooses one, then chooses another. What is the probability Neil selects a bone and then a ball? There are 3 collars, 4 bones, and 5 balls.
Answer:
15.15% probability that Neil selects a bone and then a ball
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Initially, there are 3+4+5 = 12 treats. 4 of those are bones. So the probability of selecting a bone is 4/12 = 1/3.
Now suppose a bone has been selected. Now there are 11 treats, 5 of which are balls. So the probability of selecting a ball in this situation is 5/11.
What is the probability Neil selects a bone and then a ball?
[tex]p = \frac{1}{3}*\frac{5}{11} = \frac{5}{33} = 0.1515[/tex]
15.15% probability that Neil selects a bone and then a ball
Given the points A(-2, 4) and B(7, -2), find the coordinates of the point P on directed line segment that partitions AB in the ratio 1:2.
The coordinates of the point P on directed line segment that partitions AB in the ratio 1:2 is (4, 0)
Given the point A (-2, 4) and B(7, -2). The coordinate of the point P on the line segment that partitions AB in the ratio 1:2, is expressed as:
[tex]P(X, Y) = (\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})[/tex]
Substitute the given coordinates where a = 1 and b = 2
[tex]P(X, Y) = (\frac{1(-2)+2(7)}{1+3}, \frac{1(4)+2(-2)}{1+2})\\P(X, Y) = (\frac{-2+14}{3}, \frac{4-4}{1+2})\\P(X, Y) = (\frac{12}{3},\frac{0}{3})\\P(X, Y) = (4, 0)\\[/tex]
Hence the coordinate of point P is (4, 0)
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Pls help I am stuck on this question
Answer:
153.94 cm
Step-by-step explanation:
a = r^pi squared
r = d/2
7^pi = 21.98
21.98 squared = 153.94 cm
Answer:
see below
Step-by-step explanation:
The diameter is 14 cm
The radius is 1/2 of the diameter
r = d/2 = 7cm
We want to find the area
A = pi r^2 where r is the radius
If pi = 3.142
A = 3.142 ( 7)^2
A =153.958 cm^2
If pi = 3.14
A = 3.14 ( 7)^2
A =153.86 cm^2
Depends on the value of pi
Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9 Veronique: A = 1,800 (1 + 0.05) Superscript 7, Lily: A = 1,000 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9
Answer:
Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7
Step-by-step explanation:
the equation used to calculate future value of an investment (or bank deposit) using compound interest is:
future value = present value x (1 + interest rate)ⁿ
Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47Answer:
the answer would be A
Step-by-step explanation:
what the person above said.
How many blocks with dimensions of 3 x1x1 can fit in a unit cube?
1
1
When you add fractions is the sum always greater than 1?
Answer:
Not always
Step-by-step explanation:
Some fractions, like 1/2, if you add it with 1/2, it equals one.
Halves will always equal one, and they are fractions too, so technically not all addition of fractions are greater than 1.
hope this helped
What is the slope-intercept form of an equation of a line perpendicular to y=2x−3 and passing through the point (5,−1)?
Answer:
y=-2x+9
Step-by-step explanation:
1. Make m value opposite of og m value.
2. Then plug in variables x and y into the equation
3. Solve for b
-1 = -2(5) + b
9 = b
4. You have the answer
EMERGENCY!!!!
What is the volume of the following rectangular prism?
Answer:
6 3/4
Step-by-step explanation:
3 3/8 * 2 = 6 3/4
Miguelito vende camisas de vestir . En el local le cobran $150 de alquiler; comprq cada camisa en $3.00 y la vende en $5.00. Cuanto es el numero minimo de camisas que debe vender para tener ganancias.
Answer:
[tex]x_{min} = 75\,camisas[/tex]
Step-by-step explanation:
El número mínimo de camisas a vender es igual al costo de alquiler del local dividido por la diferencia entre los valores de venta y compra de cada camisa. (The minimum amount of shirts to be sold is equal to the rental cost of the retail space divided by the difference between sell and purchase cost per shirt):
[tex]x_{min} = \frac{\$ 150}{\$ 5 - \$ 3}[/tex]
[tex]x_{min} = 75\,camisas[/tex]
Miguelito debe vender un mínimo de 75 camisas para obtener ganacias. (Miguelito must sell a minimum of 75 shirts to make a profit.)
Johanna wrote the system of equations. 4 x - 3 y = 1, 5 x + 4 y = 9. If the second equation is multiplied by 4, what should the first equation be multiplied by to eliminate the x-variable by addition?
Answer:
The first equation must be multiplied by -5 to eliminate x variable by addition
Step-by-step explanation:
4 x - 3 y = 1 (1)
5 x + 4 y = 9 (2)
If the second equation is multiplied by 4
5x+4y=9. ×4
We have,
20x+16y=36 (3)
The first equation should be multiplied by -5 to eliminate x variable by addition
4x-3y=1 × -5
We have
-20x+15y=-5 (4)
Add equation (3) and (4) to eliminate x variable
20x+16y=36
-20x+15y=-5
31y=31
Divide both sides by 31
y=1
Substitute y=1 into equation (1)
4 x - 3 y = 1
4x-3(1)=1
4x-3=1
4x=1+3
4x=4
Divide both sides by 4
x=1
Answer:
To eliminate x
We multiply Equation 1 by -5
The results are
X = 1
Y= 1
Step-by-step explanation:
4 x - 3 y = 1. .............Equation 1
5 x + 4 y = 9........... Equation 2
If equation 2 is multiplied by 4
4*(5x + 4y = 9)
20x + 16y = 36...... Equation 3
To eliminate x
We multiply Equation 1 by -5
-5*(4 x - 3 y = 1. )
-20x +15y = -5 ..... Equation 4
So we add Equation 3 and Equation 4
31y = 31
Y = 1
Substitute y into Equation 1
4x = 4
X = 1
keisha estimates 259 + 279 by rounding each number to the nearest 10. what is keisha's estimate of the sum?
Answer:
540
Step-by-step explanation:
259 + 279 = 538
Rounded to nearest 10
= 540
On Rectangle QRST below, if Q is located at -6,-1 and S is located at 1, 5, find RT
Answer:
[tex]|RT|=\sqrt{85}$ units[/tex]
Step-by-step explanation:
On Rectangle QRST
QS is congruent to RT since they are opposite side of a rectangle.
If Q is located at (-6,-1) and S is located at (1, 5), we simply find the length of QS using the distance formula.
For points [tex](x_1,y_1)$ and (x_2,y_2)[/tex] on the coordinate axis,
Distance[tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this case,[tex](x_1,y_1)=(-6,-1)$ and (x_2,y_2)=(1, 5)[/tex]
[tex]|QS|=\sqrt{(1-(-6))^2+(5-(-1))^2}\\=\sqrt{(1+6)^2+(5+1)^2}\\=\sqrt{(7)^2+(6)^2}\\|QS|=\sqrt{85}$ units[/tex]
Since
[tex]|QS| \cong |RT|\\ |RT|=\sqrt{85}$ units[/tex]
Pls help guys! 15 points!
Select all of the following true statements if R = real numbers, N = natural numbers, and W = {0, 1, 2, ...}.
a) W c N
b) {0, 1, 2, ...} c_W
c) {no solution} c N
d) 9 e W
e) R c W
f) -5 e W
Answer:
B AND C
Step-by-step explanation:
Answer:
It should be B and C
Step-by-step explanation:
