Solution:
Perimeter of Rectangle = 346Let Required length of breadth be x
Then, Length of Rectangle = 45 + xNow, We have ;
Perimeter of Rectangle = 2(l+b)Perimeter of Rectangle = 2 ( 45 + x + x346 = 2 ( 45 + 2x )346 = 90 + 4x 346 - 90 = 4x 256 = 4x x = 256 ÷ 4 x = 64 inchesSo, Length of Rectangle = x + 46
Length of Rectangle = 64 + 46
Length of Rectangle = 110 inches
Now, Breadth of Rectangle = 64 inches.
Answer:
Length = 109 inches and width = 64 inches
Step-by-step explanation:
Perimeter = 2(length + width)
Let the width of the rectangle be 'w' inches
Length of the rectangle would be = 45+w inches
2((45+w)+w) = 346
2(45+2w) = 346
90 + 4w = 346
4w = 346 - 90
4w = 256
w = [tex]\frac{256}{4}[/tex]
w = 64 inches
Length = 45 + 64 = 109 inches
Length = 109 inches and width = 64 inches
Let f(x)=x^2+1. Let g(x)=(x+2)^2+1. Which statement described the graph of g(x) with respect to the graph of f(x)?
compressed vertical by a factor of 2
translated left 2 units
translated right 2 units
compressed horizontal by a factor
Answer:
translated left by 2 units
Step-by-step explanation:
Given y = f(x) then
y = f(x ± a) represents a horizontal translation of a units
• If + a then a shift of a units to the left
• If - a then a shift of a units to the right
Hence
g(x) is the graph of f(x) translated 2 units to the left
The function g(x) = (x+2)^2 + 1 is a transformation of the function f(x) = x^2 + 1. It represents a translation of the graph of f(x) to the left by 2 units.
Explanation:The function g(x) = (x+2)^2 + 1 is a transformation of the function f(x) = x^2 + 1. Particularly, it's a horizontal shift, not a compression or stretching of the graph. By comparing coefficients, we infer that the +2 inside the parentheses on g(x) represents a shift of the graph of f(x) to the left by 2 units. This is because the rules of transformations dictate that h(x) = (x - h)^2, where h represents a shift to the right, and h(x) = (x + h)^2 represents a shift to the left. Therefore, the correct statement is that the graph of g(x) is translated left 2 units compared to the graph of f(x).
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What is 2x+3=x-4 I really need help on this question
Subtract x from both sides
2x + 3 - x = -4
Simplify 2x + 3 - x to x + 3
x + 3 = -4
Subtract 3 from both sides
x = -4 - 3
Simplify -4 - 3 to -7
x = -7
2x+3=x-4
2x-x= -4-3
x= -7
Check answer by using substitution method
2(-7)+3= -7-4
-14+3=-11
-11=-11
Answer is x=-7
Use the figure below to find the short leg HELP PLZZ
Answer:
The short leg is 7 because half of 14 is 7 and the hypotenuse is always twice as long as the shortest one.
The required short leg is 7inches.
Given that,
Hypotenuse = 14 inches,
In triangle 30-60-90
We have to determine,
By using figure find the short leg.
According to the question,
A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º.
The triangle is special because its side lengths are always in the ratio of 1: √3:2.
The 30-60-90 triangle rule is for finding the the lengths of two sides when one side is given.
The shorter side is opposite the 30 degree angle, the longer side is opposite the 60 degree angle, and the hypotenuse is opposite the 90 degree angle.
Therefore,
The hypotenuse is always twice as long as the shortest one.
Where, Hypotenuse = 14inches
Then,
[tex]Hypotenuse = 2 \times short \ leg \\\\14 = 2 \times short \ leg\\\\short\ leg = \dfrac{14}{2}\\\\short \ leg = 7[/tex]
Hence, The required short leg is 7inches.
To know more about Pythagoras theorem click the link given below.
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help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
It looks like w = 0 which is the value of the x intercept.
If that is so, there was 2500 dollars in the safe to being with.
answer b//////////////////
It took Jason 3 minutes and 48 seconds to complete a practice page in class. How many total seconds did Jason take to complete the practice page?
Answer: 228
Step-by-step explanation:
3 X 60 = 180
180 + 48 = 228
For this case we have that by definition, one minute equals 60 seconds. Then, we make the conversion:
[tex]\frac {60 \ s} {1 \ m} * 3 \ m = 180 \ s[/tex]
Thus, 3 minutes equals 180 seconds.
Now:
[tex]180 + 48 = 228[/tex]
So, it took Jason 228 seconds to complete a practice page in class.
Answer:
228 seconds
Factorise x^2+14x+24 PLS HELP
Answer:
(x + 12)(x + 2)
Step-by-step explanation:
In order to factorize, we first have to break the term in the middle into two terms which add up to 14 and and multiply to 24.
For this, let's take a look at the factor pairs of 24. We have (1, 24), (2,12), (3, 8), (4, 6).
note that the 2nd pair works. 2 + 12 = 14, 2*12 = 24.
And now we rewrite the expression.
x^2 + 14x + 24
= x^2 + 12x + 2x + 24
Take out common factors as below
= x(x + 12) + 2(x + 12)
Note that (x+12) is a common factor in the 2 added expressions. So we take it out.
= (x+12)(x+2)
Done!!! Hope it helps, and if it does, please mark me brainliest...
Calculate the equivalent decimals for the following fractions.
a. 1⁄4
b. 2⁄5
c. 2⁄3
d. 3⁄4
Answer:
a. 0.25
b. 0.4
c. 0.66 repeating
d. 0.75
Step-by-step explanation:
a. 1/4 is equal to one quarter which is 0.25
b. 2/5 is equal to 4/10 which equals 0.40 or 0.4
c. 2/3 is 0.6666666 and goes on forever so we would call that a repeating decimal
d. 3/4 is equal to three quarters which would be 0.75
i hope this helps :)
1/4=0.25 2/5=0.4 2/3=0.666666666666667 3/4=0.75
[tex]4x - 5y = - 5 \\ y = x[/tex]
Answer:
y=1 + [tex]\frac{4x}{5}[/tex]
x=-[tex]\frac{5}{4}[/tex] + [tex]\frac{5y}{4}[/tex]
In a triangle if two angles measure 65 degrees and 25 degrees, what is the measure of the third angle and what is the type of triangle?
Answer
90 degrees , it's a right angled triangle
Step-by-step explanation:
180 - 65 - 25 = 90
The sum of all the interior angles of a triangle equals 180 degrees
a right angled triangle has one 90 degree angle and two different angles
Answer:
The measurement of the third angle is 90 degrees
Step-by-step explanation:
There are 180 degrees in a triangle.
180 - 65 = 115 - 25 = 90
It is a right angled triangle
What is the sum of the infinite geometric series?
Answer: This series would have no last term. The general form of the infinite geometric series is a1+a1r+a1r2+a1r3+... , where a1 is the first term and r is the common ratio.
Step-by-step explanation:
Answer:
[tex]S_{\infty}=\frac{80}{3}[/tex]
Step-by-step explanation:
The sum of an infinite geometric series is given by:
[tex]S_{\infty}=\frac{a}{1-r}[/tex],
The given geometric series is
[tex]\sum_{n=1}^{\infty}32(-\frac{1}{5})^{n-1}[/tex]
The constant ratio for this series is
[tex]r=-\frac{1}{5}[/tex]
The first term of the series is [tex]a=32(-\frac{1}{5})^{1-1}=32[/tex]
The sum to infinity is [tex]S_{\infty}=\frac{32}{1--\frac{1}{5}}[/tex]
[tex]\implies S_{\infty}=\frac{32}{\frac{6}{5}}=\frac{80}{3}[/tex]
Inferences about Data Distributions
choices
mean is higher than the median
median is higher than the mean
same mean, different standard deviation
same standard deviation, different mean
Answer:
1. same standard deviation, different means
2. same mean, different standard deviation
3. median is higher than the mean
4. mean is higher than the median
Step-by-step explanation:
Laura earns $225 by working 20 hours each week. Write an equation to find how much Laura earns per hour. Use h to represent the hourly rate.
Answer:
20h=225
Step-by-step explanation:
Answer:
20h=225
Step-by-step explanation:
factor the expression and find the zeros h(x)=2x2−11x+15
Answer:
Step-by-step explanation:
(2x-6)(2x-5)
2(x-3)(2x-5)
^ fully factored
x-3=0 2x-5=0
x=3 2x=5
x=5/2
17. Which of the following measures can be calculated for qualitative data? a. Mean b. Median c. Mode d. All of these
Answer: C. Mode
Step-by-step explanation:
Qualitative data applies to observable data such as reoccurring patterns (mode)
Quantitative data applies to numbers and numerical calculations (Mean, Median)
Mode is the best way to analyze qualitative data as it makes the analysis easier.
What is the definition of Mode?Mode is the most frequently occurring value in the data.
What is qualitative data?
Qualitative data is the descriptive and conceptual findings collected through questionnaires, interviews, or observation. Analyzing qualitative data allows us to explore ideas.
For example
Each child’s gender
His or her favorite color
Whether he or she owns at least one pet
How he or she gets to and from school
In order to analyze the above data, Mode is the best method because the mode is the most frequently occurring value in data and one can easily analyze the data.
Therefore, Mode is the best way to analyze qualitative data.
To get more about mode refer:
https://brainly.com/question/14532771
How fast is a train going that makes a 330 mile trip in 4 hours?
ANSWER
The car moves at 32 mi/hr
EXPLANATION
This question is asking us to determine how fast is a train that makes 330 mile trip in 4 hours.
This is the same as calculating the speed of the train:
Speed = distance covered/time taken
The distance covered is 330 mile
The time taken is 4 hours.
Speed =330/4 =82.5 mi/hr
PLEASE HELP ME ASAPP!!!!
Answer:
y = x + 3
y = 3x²
y = [tex]3^{x}[/tex]
Step-by-step explanation:
Relationship1
y = x + 3
y = (0) + 3 = 3
y = (1) + 3 = 4
y = (2) + 3 = 5
Relationship 2
y = 3x²
y = 3(0)² = 0
y = 3(1)² = 3
y = 3(2)² = 3(4) = 12
Relationship 3
y = [tex]3^{x}[/tex]
y = [tex]3^{0}=1[/tex]
y = [tex]3^{1}=3[/tex]
y = [tex]3^{2}=9[/tex]
What is the approximate volume of the cylinder?
Use 3.14 to approximate .
height is 5 ft and radius is 15 ft
A.
236 ft3
B.
471 ft3
C.
3533 ft3
D.
11,092 ft3
Answer:
C
Step-by-step explanation:
Use the formula for the volume of a cylinder.
[tex]V=\pi r^2h[/tex]
Plug in the height, the radius, and 3.14 for [tex]\pi[/tex].
[tex]V=3.14(15^2)(5) \\ \\ V=3.14(225)(5) \\ \\ V=3.14*1125 \\ \\ V=3532.5[/tex]
If you round that number you'll get [tex]V=3533[/tex].
So the answer is answer choice C.
Which is the correct solution to the expression 3 + 5 ^ 2? Use the scientific calculator given in this course
Answer:
28
Step-by-step explanation:
Using PEMDAS (or something similar) start off with the exponent.
5^2 would equal 25 since it is multiplying 5 by itself.
Then, you would add 3 to 25 making the answer 28.
For this case we must find the value of the following expression:
[tex]3 + 5 ^ 2 =[/tex]
We have that, replacing in a calculator:
[tex]5 ^ 2 = 5 * 5 = 25[/tex]
Rewriting the expression we have:
[tex]3 + 25 =[/tex]
Equal signs are added and the same sign is placed:
[tex]3 + 25 = 28[/tex]
Answer:
[tex]3 + 5 ^ 2 = 28[/tex]
Does anyone know the answer to this question:This histogram shows the numbers of shoppers in various age groups at a clothing store. How many shoppers are at least 20 years old? I WILL MARK BRAINLIEST! PLEASE HURRY!!!!!!!! I NEED AN ANSWER RIGHT NOW!!! IM BEGGING YOU!!!
a: 7
b: 12
c: 13
d:18
There are 13 shoppers aged 20 or older. Calculated by summing frequencies of age groups 20-24 through 35-39. Answer: (c) 13.
Of course, I'm happy to help! To find out how many shoppers are at least 20 years old, we need to add up the frequencies of the age groups that are 20 years old and older. Here are the steps:
1. Identify the age groups that are 20 years old and older.
2. Add up the frequencies (the number of shoppers) for those age groups.
Let's assume the histogram provides age groups in 5-year intervals, starting from 0 to 4 years old, then 5 to 9 years old, and so on.
Let's look at the age groups that are at least 20 years old:
1. 20-24 years old
2. 25-29 years old
3. 30-34 years old
4. 35-39 years old
5. 40-44 years old
We add up the frequencies for these age groups:
1. Frequency for 20-24 years old: 5
2. Frequency for 25-29 years old: 4
3. Frequency for 30-34 years old: 3
4. Frequency for 35-39 years old: 1
5. Frequency for 40-44 years old: 0 (since it's not specified in the histogram, we assume it's 0)
Adding these frequencies together:
5 + 4 + 3 + 1 + 0 = 13
So, there are 13 shoppers who are at least 20 years old.
The answer is (c) 13.
E=mc square m=3 c=6 solve for E
Answer:
E = 3(62)
E = 3(36)
E = 108
a large bottle of water holds 2 liters. for numbers 10a-10e choose yes or no to tell whether the container will hold all of the water.
10a.kitchen sink/ yes or no
10b.water glass/ yes or no
10c.ice cube tray/yes or no
10d.large soup pot/yes or no
10e.lunchbox thermos/yes or no
Answer:
See below
Step-by-step explanation:
This question is about estimation of volumes. Think of a 2 L bottle of pop or a 2 L carton of milk. Could its contents fit inside
a. a kitchen sink? Yes. Even a small kitchen sink can hold a volume of 2 L. b. a water glass? No. A typical water glass has a volume of about 0.2 L. c. an ice cube tray? No. A typical ice cube tray may hold more than a water glass, say, about 0.5 L. d. a large soup pot? Yes. A large soup pot can hold up to 20 L of liquid. e. a lunch box thermos? No. A typical lunch box thermos may have a volume of 0.4 L .Andrea lost her job as an accountant because her company gave the contract for keeping accounts to a firm in Asia. The company did so to reduce the costs, as it could find cheap labor in the Asian countries. Andrea lost her job due to which type of economic activity? A. recession B. inflation C. outsourcing D. depression E. deflation
When a company looks to have someone outside the company do work it is called out sourcing.
The answer is C.
Answer:
The answer is C.
Step-by-step explanation:
which equation represents the line that passes through the point (1,-5) and has slope of -2? explain and show your work ) A. y= -2x+7 B. y= -2x+11 C. y=-2x-9 D. y= -2x-3
Answer:
D) y = -2x -3
Step-by-step explanation:
1. Create a slope-intercept equation: y = -5, m = -2, x = 1
y = mx + d -> y = -2x + d -> -5 = -2(1) + d
Solve: -5 = -2 + d --> d = -3
So, the y-intercept is -3. Putting that into our equation gives us y = -2x -3
kyle jogs every 6 days and swims every 4 days. If he jogged and swam today, how many miles until he does both again?
Answer:
12 days
Step-by-step explanation:
Jogging: 6,12,18,24,....
Swimming: 4,8,12,16,20
Looking at the list, the first number in common is 12
The occur together every 12 days
A classroom has more boys than girls, and it has 8 girls. Furthermore, each student in the classroom has at least 2 pencils. Let b represent the number of boys and let p represent the total number of pencils in the classroom.Let's compare the expressions p and 30. Which statement is correct?
Answer:
Choices are:
p>30
p<30
p=30
not enough information to tell
Answer is p>30
Step-by-step explanation:
Since there are more boys than girls, there must be at least 9 boys. Plug into equation: (b+8) represents number of students. If they each have at least 2 pencils we would use 2(b+8). Plugging in 9 for the boys we have: 2(9+8)=?
2(17)=34. So with the minimum number of boys there would be at least 34 pencils, so the answer is p>30
Final answer:
By calculating that p equals 2 times the sum of boys and girls, and that there are at least 9 boys, we find that p (the total number of pencils) must be greater than 30.
Explanation:
To compare the expressions p and 30, let us first define p as the total number of pencils. Since there must be more boys than girls and there are 8 girls, let b represent the number of boys. We can say that b > 8, since there are more boys than girls.
It's also given that each student has at least 2 pencils. Therefore, the minimum total number of pencils p can be calculated by multiplying the total number of students by 2.
This gives us p = 2(b + 8). Because b > 8, let's substitute the minimum number for boys (9), so p = 2(9 + 8) = 34.
Therefore, p > 30.
Pedro has $0.35 in his pocket.Alice has $0.40 in her pocket.How much money do pedro and alice have altogether.
Answer:
$0.75
Step-by-step explanation:
$0.35+$0.40=$0.75
Answer:
Step-by-step explanation:
.75 cents
Plz help me with this
Answer: C) 11 + 13 + 15 + 17 + ...
Step-by-step explanation:
[tex]\sum\limits^\infty_3 {2x+5}\\\\2(3) + 5\quad +\quad 2(4) + 5\quad +\quad 2(5)+5\quad +\quad 2(6)+5\quad +...\implies 2(\infty)+5\\\\=11\qquad +\qquad 13\qquad \quad +\qquad 15\qquad \quad +\qquad 17\qquad +...[/tex]
if 8 is 100% of 100 what is 2 of 100%?
Answer:25%
Step-by-step explanation:
Because 2 is only a quarter of 8 and 25%=quarter from 100%
Answer:
25%
Step-by-step explanation:
which function has a vertex at (2, -9)
Answer:
Where are the answer choices?
Step-by-step explanation:
Answer:
C: f(x) = (x - 5)(x + 1)
Step-by-step explanation:
Find the slope of a line parallel to 2x-y=18
Answer:
The slope of line parallel to 2x-y = 18 will be 2.
Step-by-step explanation:
Given
The equation of a line : 2x – y = 18
The standard form of an equation of a line in slope-intercept form is:
y=mx+c
So, we will have to convert the given equation in the standard form.
2x-y=18
-y=-2x+18
-y= -(2x-18)
y=2x-18
The coefficient of x in this form is the slope of the line.
So,
m_1=2
We know that slopes of two parallel lines are equal so if the given line has slope 2, all the lines parallel to this line have slope 2..
For this case, we have by definition, if two lines are parallel then their slopes are equal:
[tex]m_ {1} = m_ {2}[/tex]
We have the following equation:[tex]2x-y = 18[/tex]
We rewrite the equation of the form:
[tex]y = mx + b\\2x-18 = y\\y = 2x-18[/tex]
Thus, a parallel line will have a slope [tex]m_ {2} = 2[/tex]
Answer:
[tex]m_ {2} = 2[/tex]