Answer:
3.544>3.455
Step-by-step explanation:
This is because if you look at the numbers .5 is greater than (>) .4
Brainliest! :)
The length of a rectangle is 1 ft more than twice the width, and the area of the rectangle is 45 ft^2. Find the dimensions of the rectangle.
Answer:
[tex]\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 10~ \text{ft}[/tex]
Step by step explanation:
[tex]\text{Width} =x\\\\\text{Length}=2x+1\\\\~~~~~~~\text{Area} = 45~\text{ft}^2\\\\\implies x(2x+1) =45\\ \\\implies 2x^2+x = 45\\\\\implies 2x^2 +x-45=0\\\\\implies 2x^2+10x -9x -45 =0\\\\\implies 2x(x+5) -9(x+5)=0\\\\\implies (2x-9)(x+5) =0\\\\\implies x=\dfrac 92, ~~ x\neq -5\\\\\text{Hence,}\\\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 2\cdot \dfrac 92 +1 = 10~ \text{ft}[/tex]
Answer:
Length 10 ft.
Width 4.5 ft.
Step-by-step explanation:
If the width is x ft then the length is 2x + 1 ft.
Area = width * length, so:
45 = x(2x + 1)
45 = 2x^2 + x
2x^2 + x - 45 = 0
2x^2 + 10x - 9x - 45 = 0
2x(x + 5) - 9(x + 5) = 0
(2x - 9)(x + 5) = 0
x = 4.5, -5.
So x = 4.5 ( as the width cannot be negative).
Therefore the dimenions of the rectangle are
width = 4.5 ft, length = 2(4.5) + 1 = 10 ft.
HELP MEEEEE
Write the equation for each translation of the graph y=|1/2x-2|+3
one unit to the right
MATH which graph has an axis of symmetry at x=-1
Find the area of this triangle if
C = 138°, a = 16, and b = 7.
A
B•
[? square
units
Round to the nearest tenth.
Enter
38.1 units^2
Step-by-step explanation:
you can use the formula: 1/2(ab)(sin c)
plug it in: 1/2(16*7)(sin 138)
simplify: 57sin138
plug it into your calculator: 38.1 (rounded)
If you found this answer helpful, I would appreciate if you gave me the brainliest award :D.
Answer:
37.5
Step-by-step explanation:
For acellus
I really need help thank you!
10 points
Step-by-step explanation:
sum of angles in ∆ = 180
48+6x-28+2x = 180
20+4x = 180
4x = 160
x = 40
b = 212
c = 80
A credit card company receives numerous phone calls throughout the day from customers reporting fraud and billing disputes. Most of these callers are put “on hold” until a company operator is free to help them. The company has determined that the length of time a caller is on hold is normally distributed with a mean of 2.5 minutes and a standard deviation 0.5 minutes. If 1.5% of the callers are put on hold for longer than x minutes, what is the value of x?
Using the normal distribution, it is found that the value of x is of 3.585.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of XIn this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 2.5, \sigma = 0.5[/tex].
The value of x is the 100 - 1.5 = 98.5th percentile, which is X when Z = 2.17, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.17 = \frac{X - 2.5}{0.5}[/tex]
[tex]X - 2.5 = 0.5(2.17)[/tex]
[tex]X = 3.585[/tex]
Hence the value of x is of 3.585.
More can be learned about the normal distribution at https://brainly.com/question/24663213
what is the slope of the line pls help
Answer:
1/2
Step-by-step explanation:
The slope is the rise over the run, also known as the change in y value over the change in x value
m = 2/4 =1/2
We know it is positive since it goes up from the left to the right
Alge
If the number of bacteria in a colony doubles every 203 minutes and there is currently a
population of 40 bacteria, what will the population be 812 minutes from now?
bacteria
Submit
Answer:
640 Bacteria
Step-by-step explanation:
First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.
812÷203=4
The population will double 4 times.
Now figure out what the population will be after it doubles 4 times. Multiply the population by 2 a total of 4 times.
402222=640
That calculation could also be written with exponents:
4024=640
After 812 minutes, the population will be 640 bacteria.
complete the squares
i wanted to ask what exactly the question is
??
solve by using properties of whole number
a,16×25×10×4 b,49×99
Answer:
Step-by-step explanation:
a.16×25×10×4
= 100 * 160
= 16,000
b,49×99
= 49 * 100 - 49
= 4900 - 49
= 4,851.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
160
Step-by-step explanation:
FEJ angle is the large angle and the number in red shows how big it is. Remember the whole thing is 180 degrees.
To save money for his daughter's college tuition, Pablo invests $279 every quarter in an annuity that pays 6% interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 22 years. Do not round any intermediate computations, and round your final answer to the nearest cent
[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\ ~~~~~~ \begin{cases} A=\textit{accumulated amount}\\ pymnt=\textit{periodic payments}\dotfill &279\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &22 \end{cases}[/tex]
[tex]A=279 \left[ \cfrac{\left( 1+\frac{0.06}{4} \right)^{4 \cdot 22}-1}{\frac{0.06}{4}} \right]\implies A=279\left[\cfrac{1.015^{88}~~ - ~~1}{0.015} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 50348.47~\hfill[/tex]
What's the median for 0 2 4 6 8 10
Answer:
5 would be the midian
Step-by-step explanation:
You would need to add 0+2+4+6+8+10
Then count how many numbers there are (6)
Then put it in a fraction
30/6
Then divide and then you get 5
Answer:
21,67
Step-by-step explanation:
0+2+4+6+8+10 all divided by numbers in the set data[6]=21,67
If it is known that a and b are positive integers and that a-b=2 evaluate the following.
9 1/2^b/3^a
The value of the expression such that a and b are integers is 1/9
Indices and exponentsAn exponential function is a mathematical function in the form y = ab^x
Given the indices expression
[tex]\frac{(9\frac{1}{2} )^b}{3^a}[/tex]
This can be simplified as:
[tex]=\frac{(3^{2*\frac{1}{2}} )^b}{3^a}\\=\frac{3^b}{3^a}[/tex]
According to the law of indices, the expression will becomes;
[tex]\frac{3^b}{3^a} =3^{b-a}[/tex]
Recall that a - b = 2, such that b - a = -2. Substitute into the result to have:
[tex]\frac{3^b}{3^a} =3^{b-a}\\3^{b-a}=3^{-2}\\3^{b-a}=1/9[/tex]
Hence the value of the expression such that a and b are integers is 1/9
Learn more on indices here: https://brainly.com/question/10339517
How would you use the formula "V = BH" to find the volume of a tent? Explain.
Explanation:
The volume formula ...
V = BH
is a formula for the volume of a general prism whose cross sections parallel to the base all have area B. The distance between the parallel bases is represented by H.
__
To use this formula to find the volume of a tent, the area of the end of the tent would be substituted for B, and the length of the tent (distance between the ends) would be substituted for H.
An appropriate formula would need to be used for the end area.
Lois made a dish with 3 1/3 cups of pasta. One serving of the pasta is 0.4 cups. How many servings of pasta were in the dish Lois made?
Answer:
8 3/4
Step-by-step explanation:
because each serving is 04 cups all you need to do is divide 3 1/2 by 0.4.
first convert 3 1/2 into decimal which would be 3.5. then divide 3.5 by 0.4
3.5/0.4
=3.5x10/0.4x10
=35/4
=8 3/4
You are studying economic development in a small developing country. You do not have individual income data but you do have counts of how many people fall into various intervals such as 0-500, 501-1000, etc. You want a display that shows the shape of the income distribution. You should make a
A. Scatter plot
B. Pie chart
C. Bar chart
D. Histogram
PLEASE HELP FAST I WILL GIVE BRAINLIEST!
Answer:
[D] 1/14
Step-by-step explanation:
Question to answer:
What is the probability of picking an orange marble and flipping tails?
Solve:
let see how many orange marbles are there:
As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.
Now let see how many side a coin have:
As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.Now multiply straight across:
1/2 × 1/7
→ 1 × 1 = 1
→ 2 × 7 = 14
Thus, the result is 1/14
Hence, the answer is [D] 1/14
~lenvy~
Answer:
[tex]\sf D)\quad\dfrac{1}{14}[/tex]
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(\textsf{orange marble})=\dfrac{1}{7}[/tex]
[tex]\implies \sf P(\textsf{tails})=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(\textsf{orange marble})\:AND\:P(\textsf{tails})=\dfrac{1}{7} \times \dfrac{1}{2}=\dfrac{1}{14}[/tex]
WORTH 1 POINT
GIVING 15 POINTS AWAY
HELP PLS!!!!
Answer:
y = 29
Step-by-step explanation:
Since it is a vertical angle, both angles represented by the equations are equal. Meaning we can set them equal to each other and find y by simplifying.
4y-8 = 79+y
-79 -79
4y-87 = y
-4y -4y
-87 = -3y
Divided by -3
29 = y
fill in the missing values of the following number patterns
a) 24;12;0;__ ; __
b) -36; -25; -16; __; __
Answer:
A) 24;12;0;-12;-24 because the numbers are gradually going down and they go into the negatives which means they repeat the numbers in the beginning.
B)-36;-25;-16;-9;-4 i am uncertian on this one but i think im doing it right.
Use the graph of f(x) to evaluate the following: 2 1 x 1 IN 2 3 4 5 -1 - 1 6 The average rate of change of f from x = O to L = 2 is 2 Give your answer as an integer or reduced fraction.
no se cómo se hace está operación de verdad lo siento
If a fair die is rolled 5 times, what is the probability, to the nearest thousandth, of getting exactly 3 ones?
Answer:
0.1317
Step-by-step explanation:
find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}[/tex]
The graph of a system of two linear equations is a pair of
lines that intersect at the origin. Which statement is true of
the system?
Answer:
They both have a y intercept of 0
Step-by-step explanation:
Linear equations are written in the form y = mx + b. m is the slope and b is the y-intercept. It also states that they intersect at the origin, so they must have a y-intercept of 0.
You and your friend are standing on the baseline of a
basketball court. You bounce a basketball to your friend, as shown in the diagram. What is the
distance between you and your friend? Round your answer to the nearest tenth.
The distance between you and your friend rounded to the nearest tenth is 10.7 feet.
How to find the length of a triangle using cosine rule?The distance between you and your friend can be found using cosine rule.
Therefore,
c² =a² + b² - 2ab cos C
Therefore,
let
x = distance between him and his friend
x² = 7² + 6² - 2 × 7 × 6 cos 110°
x² = 49 + 36 - 84 × -0.34202014332
x² = 49 + 36 + 28.7296920394
x² = 113.729692039
x = √113.729692039
x = 10.6644124076
x = 10.7 ft
learn more on triangle here: https://brainly.com/question/2838446
For which values of k would the product of k/3 X 12 be greater than 12
Answer:
[tex]\text{k = 4, 5, 6, 7, 8... and onwards}[/tex]
Step-by-step explanation:
The product of k/3 and 12 be greater than 12.
⇒ k/3 × 12 > 12
The first step in determining the possible values of "k" is to simplify the left-hand-side (L.H.S) of the inequality.
⇒ (12 × k)/3 > 12
⇒ (12 ÷ 3) × k > 12
⇒ (4) × k > 12
The next step in determining the possible values of "k" is to isolate the variable. To do this, we can divide 4 both sides.
⇒ [4 × k]/4 > 12/4
⇒ k > 12/4
⇒ k > 3
To satisfy the inequality, the value of k must be greater than 3. Thus, the values of k could be [tex]\text{4, 5, 6... }[/tex] and so on.
Find the missing coordinate (?, -1) for 3x -4y=11
Answer:
[tex]\frac{7}{3}[/tex]
Step-by-step explanation:
Substitute -1 in place of y in the equation:
[tex]3x -4(-1)=11\\3x=7\\x=\frac{7}{3}[/tex]
Answer:
(7/3, -1)
Step-by-step explanation:
3x -4y=11
Let y = -1
3x -4(-1) = 11
3x +4 =11
Subtract 4 from each side
3x+4-4 = 11-4
3x = 7
Divide each side by 3
3x/3 = 7/3
x = 7/3
What is the value of the expression "two less than six times the difference of a number and five" when n = 9?
O22
O 16
O 32
O 31
Work out
(4 x 10-6) - (2 x 10-8)
Give your answer in standard form.
Answer:
20x + 2
Step-by-step explanation:
The function f is defined as follows.
f(x) =5x² +8
If the graph off is translated vertically downward by 5 units, it becomes the graph of a function g.
Find the expression for g(x).
Answer:
g(x) = 5x² + 3
Step-by-step explanation:
8 units are added directly to each input so just subtract 5 from that to get + 3.