Answer:
8,13,48
Step-by-step explanation:
Third = A(3) = -2 + (3-1)(5) = -2 + 10 = 8
Fourth = A(4) = -2 +(4-1)(5) = -2 + 15 = 13
Eleventh = A(11) = -2 + (11-1)(5) = -2 + 50 = 48
Clarissa made a scale drawing of a rectangle. she used a scale factor of 3 to draw the new rectangle. how does the length of the new rectangle compare to the original? the length of the new rectangle is one-third the length of the original. the length of the new rectangle is startfraction 1 over 12 endfraction the length of the original. the length of the new rectangle is 3 times the length of the original. the length of the new rectangle is 12 times the length of the original.
Answer:
The length of the new rectangle will be 3 times the length of the original.
Step-by-step explanation:
Let the side of the rectangle be x and y.
Therefore after factoring it up by 3 the new sides will be [tex]3x,3y[/tex]
Thus, the length of the new rectangle will be 3 times the length of the original.
Answer:
c
Step-by-step explanation:
What is the yield on a corporate bond with a $1000 face value purchased at a discount price of $925, if it pays 6% fixed interest for the duration of the bond?
For a $1000 face value purchased at a discount price of $925, if it pays 6% fixed interest for the duration of the bond is the yield on a corporate bond mathematically given as
Yield = 6.5%
What is the yield on a corporate bond?Generally, the equation for the interest paid is mathematically given as
Interest paid = value of bond x Interest rate
Interest paid = 1000 * 6%
Interest paid = 60
Therefore
Yield = Interest paid / Price paid
Yield = (60 / 925)x 100
Yield = 6.5%
In conclusion, the yield on a corporate bond is
Yield = 6.5%
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how mny sets of three consecutive integers are there whose sum is between 51 and 60
Answer:
4 sets
Step-by-step explanation:
16 + 17 + 18 = 51
17 + 18 + 19 = 54
18 + 19 + 20 = 57
19 + 20 + 21 = 60
OMG NEED HELP ASAP!!!
Answer:
Graph A
Step-by-step explanation:
the equations is y = 3x/4 - 3
the slope is 3/4
the y intercept is -3
and the x intercept is:
3x/4 - 3 = 0
3x/4 = 3
x = 4
Graph A matches the equation.
Please help me
I will give brainly ond 5 stars and a thanks
Answer:
Step-by-step explanation:
The y values differ by 1. They are also 1 larger than the x value.
The equation is y = x + 1
Use x = 4 ans an example
y = x + 1
x = 4
y = 4 + 1
y = 5
At least for this example the equation works. It will for all the others as well.
Use the following number line to choose the correct statement.
P + Q > R
P > S - Q
S > R + Q
Answer:
S > R + Q
Step-by-step explanation:
Locations:
P = 0.30
Q = 1.10
R = 2.80
S = 4.40
Statements:
A. P + Q > R
B. P > S - Q
C. S > R + Q
Find the correct statement:
P + Q > R
0.30 + 1.10 > 2.80
1.40 > 2.80
This statement is incorrect
P > S - Q
0.30 > 4.40 - 1.10
0.30 > 3.30
This statement is incorrect
S > R + Q
4.40 > 2.80 + 1.10
4.40 > 3.90
This statement is correct
Therefore, the correct statement is S > R + Q
Hope this helps!
The previous monthly balance on Barneys Laurents charge card is $144.79. He made a payment of $144.79 and had charges of $125.22, $23.22, and $33.65. There is no finance charge.
PLEASE HELP!!!
WILL MARK BRAINLIEST
Answer:
$182.09
Step-by-step explanation:
Add
$125.22 + $23.22 + $33.65
= $182.09
I really need help right now
Answer:
true
Step-by-step explanation:
bc my brain is right ( BTW i got my dad to check :>)
What is the value of h?
What is the probability that a five-card poker hand contains exactly one ace?.
The probability of selecting exactly one ace is its likelihood
The probability that a five-card poker hand contains exactly one ace is 29.95%
How to determine the probability?There are 4 aces in a standard deck of 52 cards.
The probability of selecting an ace would be:
p = 4/52
Also, there are 48 non-ace cards in the standard deck
So, the probability of selecting a non-ace after an ace has been selected is:
p = 48/51
The probability of selecting a non-ace up to the fifth selection are:
After two cards have been selected is: 47/50.After three cards have been selected is: 46/49.After four cards have been selected is: 45/48.The required probability is then calculated as:
P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)
Where n is the number of cards i.e. 5
So, we have:
P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)
Evaluate
P(1 Ace) = 0.2995
Express as percentage
P(1 Ace) = 29.95%
Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%
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Karly has 81 ounces of white paint.
She pours the paint into 7.2-ounce
containers. How many containers can
Karly fill with paint?
A graph is shown. Which of the following equations are represented by the graph?
Answer: A
Step-by-step explanation: I has a negative slope, which means that its line is shaped like a backslash. This graph is shaped like a forward slash, so it cannot be that one. III is a quadratic equation in factored form. The graph for a quadratic equation is shaped like a U or an upside down U, so it cannot be that one either. Using process of elimination, the only one that it can be is A, II and III.
I also used Desmos graphing calculator to double check and I was right. Here it is:
Find the gradients of lines a and b
Answer:
Line A = y = 8x – 6
Line B = y = -4x + 8
Step-by-step explanation:
Question 1 (2 points)
Which box-and-whisker plot represents the data set?
10, 5, 8, 14, 21, 7, 13, 17, 17
Find the component form of the resultant vector.
a= (-6, -5)
Unit vector in the opposite direction of a
Answer:
-6
Step-by-step explanation:
A vector is defined as having a magnitude of 15 m and a direction of East. Multiply this vector by the scalar value of –6.
The cost of renting a moving truck is given by C = 40 + 0.99m , where C is the total cost in dollars and m is the number of miles driven. What does the 40 in the equation represent?
The 40 in the equation C = 40 + 0.99m represents a fixed cost that is independent of the number of miles driven (m).
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
This fixed cost is a base fee that the rental company charges for the rental of the moving truck, regardless of how many miles the truck is driven.
In this equation, the 40 is a constant term that adds to the cost of the rental, and it represents the cost of the truck rental without taking into account the distance driven.
The 0.99m term represents the additional cost per mile driven, and it increases with the number of miles driven.
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Find the reference angle.
-230°
Answer:
pretty sure it would be like 90 or something, don't know if it's -90 or just 90 tho
Step-by-step explanation:
Answer:
50 degrees
Step-by-step explanation:
-230 is the same as 130 in quadrant II
reference angle 180 - 130 = 50 degrees
What is the volume of the cone in terms of π ?
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times height \\ [/tex]
[tex]v = \frac{1}{3} \times \pi \times {2}^{2} \times 6 \\ [/tex]
[tex]v = \frac{24}{3} \pi \\ [/tex]
[tex]v = 8\pi \: \: \: {in}^{3} [/tex]
Kelso had two dogs. Each
dog eats one and a half cups
of dog food each day. There
are 75 cups in a bag of food.
How many days does one
bag of food last?
Answer:
Its gonna last 25 days
Step-by-step explanation:
75/3 = 25
3 -> 1.5*2
Sydney took a trip to a relatives house for Thanksgiving. She drove 65 miles per hour for 1. 5 miles and 55 miles per hour for 3. 5 hours. What was the total distance in miles that she traveled duribg this time?
The total distance in miles that she traveled duribg this time is 17.21miles
Distance and speedSpeed is defined as the rate of change of distance. Mathematically speed is expressed as:
Speed = Distance/Time
For the second trip
Speed = 55mph
Time = 3.5hours
Distance = 55/3.5
Distance = 15.71 miles
Total distance travelled = 1.5 miles + 15.71miles
Total distance travelled = 17.21miles
Hence the total distance in miles that she traveled duribg this time is 17.21miles
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what is x/ solve for x 3x + 22
Answer:
Step-by-step explanation:
3x + 22 = 0
-22 -22
3x = -22
-- ---------
3 3
x = -22
---
3
Samuel bought 4 rolls of tape to seal boxes. Each roll contains 32.9 meters of tape. He uses 1.2 meters of this tape to seal each box. What is the total number of boxes Samuel can seal with these 4 rolls of tape?
Answer:
109
Step-by-step explanation:
32.9 × 4 = 131.6
131.6 ÷ 1.2 = 109.6666666667
round down because you can seal 1 more box with .7 m of tape.
Answer:
The total number of boxes able to be sealed with this amount of tape is 109.6
Step-by-step explanation:
A group of 25 employees want to go out for a group dinner.
18 employees want to go to Restaurant A.
7 employees want to go to Restaurant B.
Use this information to answer the questions below.
ws the proportion of employees who want to an to Restaurant
Pick a square that doesn’t belong with the others and explain why you made your choice
Answer:
8+7
Step-by-step explanation:
8 + 7 does not belong because it is the only one that does not add up to equal 14
2x² - 4x - 6 = 0, what is the positive solution to the equation?
I believe it's x = 3.
Step-by-step explanation:
Common factorDivide both sides by the same factorUse the quadratic formulaSimplifySeparate the equationsSolveSolution: x = 3
Carla served her mango pie on a 14 inches diameter dish. She wanted to tie a ribbon around the dish to make it a little more attractive. How long does the ribbon need to be in order to fit around the dish?
By finding the circumference of the plate, we conclude that the ribbon must be 43.96 in long.
How long does the ribbon need to be?
Remember that for a circle of radius R, the circumference is:
C = 2*pi*R
In this case, the ribbon must be equally long to the circumference of the plate. We know that the diameter of the plate is 14 inches, and the radius is half of that, then we get:
R = 14in/2 = 7in
Replacing that on the circumference equation we get:
C = 2*3.14*7in = 43.96 in
The ribbon must be 43.96 in long.
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Classify the questions as statistical or not statistical. How many bags do I own? How many cars does each person in my neighborhood own? How many hours do students in my class study every day? How many students in my class own 2 bags? How many hours did Ryan study last Saturday? How many houseplants does each house on my block have? Statistical Questions Not Statistical Questions
Answer:
In order - Not statistical, statistical, statistical, statistical, statistical, statistical
Step-by-step explanation:
A statistical question is one which has answers based on the gathering of data (possibly multiple answers).
A non statistical question is one which requires no data gathering, and has only one answer.
Given: ABCD is a parallelogram.
Prove: ∠A ≅ ∠C and ∠B ≅ ∠D
Parallelogram A B C D is shown.
By the definition of a ▱, AD∥BC and AB∥DC.
Using, AD as a transversal, ∠A and ∠
are same-side interior angles, so they are
. Using side
as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary.
Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠
answers: d, supplementary, bc, d
Answer:
E2020
Step-by-step explanation:
Answer:
d, supplementary, bc, addition
Step-by-step explanation:
Complete the steps, which describe how to find the area of the shaded portion of the circle. a circle is shown. 2 raddi are drawn. a chord connects the points of the radii on the circle to each other. the space between the chord and the outline of the circle is shaded. 1. find the area of the sector by multiplying the area of the circle by the ratio of the _________________________ to 360. 2. subtract the area of the triangle from the area of the sector. length of the radius length of the diameter measure of the central angle circumference of the circle
The term segment refers to an area that is bounded by two radii and a chord.
What is a segment?The term segment refers to an area that is bounded by two radii and a chord.
We have to obtain the area of the segment by;
the area of the sector is obtained as the product of the area of the circle and the ratio of the angle subtended by the sector to 360.Secondly, the area of the triangle formed as part of the segment is subtracted from from the area of the sector.This is how to obtain the area of the segment.
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Answer:
the correct option is C
Step-by-step explanation:
Which expressions are listed in the simplest form? Check all that apply.