Answer:
the stem and leaf plot is invalid. please provide a diagram.
Write the vertex form equation of a parabola that has been translated right of the origin by 5 units, translated down from the origin by 15 units, reflected over the x-axis, and stretched vertically by a factor of
6
Answer:
90x+8202727
Step-by-step explanation:
90x70+8090#* 77
You invested $7000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $536, how much was invested at each rate?
Answer: $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.
Step-by-step explanation:
Let's break this down into simpler terms so you can understand.
You invested $7000 in a 7% and 8% account (always remember: the 'x' variable is always given to the biggest percentage)
Total of interest: 536 (this always goes at the end of the equation, after the equal sign)
Step 1: Let's set up the equation:
Here are how percents are written: (7% = 0.07, 8% = 0.08, other examples: 50% = 0.50)
0.08x + 0.07(7,000-x)=536
You're adding both because you want to see how much each account paid together.
Step 2: Distribute the 0.07 to everything in the parenthesis
0.08x + 0.07(7,000-x)=536
0.08x + 490 - 0.07x =536
Step 3: Combine like terms
0.08x + 490 - 0.07x =536
0.01x + 490 =536
Step 4: Continue combining like terms
0.01x + 490 =536
0.01x = 46
Step 5: Divide both sides by 0.01 to get the 'x' by itself
0.01x = 46
x = 4,600
This answer, x = 4,600, says to us that $4,600 was invested in the 8% account.
To find out how much was invested in the 7% account, just replace the x = 4,600 back into this part of the original equation: 7,000-x
7,000-x
7,000-4,600
2,400
So.. $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.
The ordered pairs show amounts y (in inches) of rainfall equivalent to x inches of snow.(16, 1.5), (12, 1.3), (18, 1.8), (15, 1.5), (20, 2.1),(23, 2.4) About how many inches of rainfall are equivalent to 6 inches of snow? Round your answer to the nearest hundredth, if necessary.
Answer:
0.57 inches of rainfall is equivalent to 6 inches of snow
Step-by-step explanation:
The given data are presented here as follows;
[tex]\begin{array}{cc}x&y\\16&1.5\\12&1.3\\18&1.8\\15&1.5\\20&2.1\\23&2.4\\\end{array}[/tex]
The data points are approximately linear
From the the trend line of the plotted points of the graph, created with Microsoft Excel, with Forecasting, when there is 6 inches of snow the rainfall is 0.575 inches
By linear regression, we have;
Y = a + b·X
Where;
[tex]b = \dfrac{n \cdot \sum XY - \left (\sum X \right ) \cdot \left (\sum Y \right )}{n \cdot \sum X^{2} - \left (\sum X \right )^{2}}[/tex]
[tex]a = \dfrac{\sum Y - b \cdot \sum X}{n}[/tex]
∑x = 104
∑y = 10.6
∑(x·y) = 191.7
(∑x)·(∑y) = 1102.4
(∑x)² = 10816
n = 6
SigX^2 = 1878
Plugging in the values, gives;
[tex]b = \dfrac{6 \times191.7 - 1102.4}{6 \times 1878 - 10816} \approx 0.10575[/tex]
[tex]a = \dfrac{10.6 - 0.10575 \times 104}{6} \approx -0.06637[/tex]
Therefore;
Y = 0.10575·x - 0.06637
When x = 6 inches, we have;
Y = 0.10575 × 6 - 0.06637 = 0.56813
Y = 0.56813 inches ≈ 0.57 inches of rainfall
Therefore;
0.57 inches of rainfall is equivalent to 6 inches of snow
a taxi charges $2 per mile and $1 per person. If a ride for 2 people costs $12, how many miles was the ride?
Answer:
5 miles
Step-by-step explanation:
$12 = ($2 per mile) (2 people)
$12 = $2 + $2m (m = mile)
subtract 2 on both sides to eliminate
$12 - $2 = $2 - $2 + 2m
$10 = 2m
divide both sides by 2 to eleminate m
$10 / 2 = 2m / 2
m = 5
The Coners family are going on a 250 mile road trip. The first day they drive 100 miles. Write an equation with a variable that can be used to find the number of miles remaining.
Answer:
100+x=250 or 250-x=100
Step-by-step explanation:
HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
- 14 + 30 / 4
16 / 4
16 ÷ 4
= 4
^-^
Answer:
4
Step-by-step explanation:
-2×7=-14
-2×15=-30
-14--30=16
16÷4=4
O A
Rx) = 3(x + 1)2 = 2
B.
(x) = -3(x + 1)2 + 2
OC.
Ax) = -3(x + 1)2 - 2
D.
(x) = 3(x - 1)2 + 2
Reset
What is the expression that means the same as 7 less than the square of a number? A. 7-2x B. 7-2× C. 7-x2 D. x2-7
Answer:
D
Step-by-step explanation:
7 less than the square of the number means a number squared subtracted by 7, which would be D.
Does anyone know?? I'll give a brainliest For the correct answer.
Answer:
its 14
Step-by-step explanation:
because you have 40 bucks then you minus 18 then you divide then u get 14.
Answer:
$14
Step-by-step explanation:
20*2=40
40-12=28
28/2=14
6 less than the number y
Answer:
6 less a number y can be represented by the expression 6 - y
Find the area of the shaded part of the trapezoid.
Step-by-step explanation:
All you have to do is to multiply the length times width times height to get the area. So its 6 x 20 x q1/4 ft = 30q. Hope this helps.
Three sets of data are given below. What is the
median of the ranges?
Data A: -3,2,-5,6,8
Data B: 4,9,6,2
Data C: 8,3,0,4
A) 2
B) 5
C) 7
D) 8
8x6=(8x_)+(8x_)
Complete the question to fine 8x6
Answer:
8 multiply 6 =(8 multiply 3)+(8 multiply 3)=4
The ratio of plates to cups is 10:14. If
there are 7 cups, how many plates
are there?
(Help)
x PLATES ... 10
7 CUPS ... 14
Cross multiply and et' violá:
[tex]14x=70\implies x=70/14=5[/tex]
Which point below is not on the graph of px) = 36-X?
(-13, 7)
(-35, 1)
(11,5)
(27,3)
Please help me nowww
I need this right away!!
there is not enough information to complete the answer
What is the total cost of 1.2 Cubic yards of soil if it sells for $24 per cubic yard?
Answer:
$28.80 I hope that helps if not I'm sorry if it's wrong
Step-by-step explanation:
we write "dollars per cubic yard" as "dollars/yd^3" so that the units "yd^3" will cancel when multiplying by "1.2 yd^3", leaving an answer in units of dollars
24 dollars / yd^3 * 1.2 yd^3 = 28.80
the cost would be $28.80
Enter the next 3 terms from the geometric sequence below.
−
2
,
1
,
−
1
2
,
.
Answer:
The next 3 terms from the geometric sequence below.
3
2
,
1
,
0
1
2
,
3
.
Step-by-step explanation:
The next 3 terms of the geometric sequence are [tex]\frac{1}{4} , -\frac{1}{8}, \frac{1}{16}[/tex].
What is a Geometric Sequence?'A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.'
According to the given problem,
The terms are, -2 , 1 , - [tex]\frac{1}{2}[/tex] ....
Now, geometric sequence means that there is a common ratio between the numbers in the sequence.
Common ratio can also be denoted as r.
so, from -2, the next term is -2 × r and the one after this is -2 × r × r and so on.
If we compare, -2 × - [tex]\frac{1}{2}[/tex] = 1
1 × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{2}[/tex]
-[tex]\frac{1}{2}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{8}[/tex]
-[tex]\frac{1}{8}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{16}[/tex]
Hence, we can conclude that the next three terms are, [tex]\frac{1}{4}[/tex] , -[tex]\frac{1}{8}[/tex] , [tex]\frac{1}{16}[/tex].
Learn more about geometric sequence here:
https://brainly.com/question/13008517
#SPJ2
3(4x +2) +3
I need help!!
Thx!
Answer:
12x+9
Hope you got your answer!
Explain how to solve the problem y = (xz)/ x for y when x = 3 and z = 2.
Answer:
y=6
standard form
Find the shaded area:
Answer:
Step-by-step explanation:
we have a circle inscribed in a square
Area of the square
Asquare=14*14=196
Acircle=3.14*r^2
r=14/2=7
Acircle=3.14*7^2=153.94
A shaded=196-153.94=42.06
Find the length of side x in simplest radical form with a rational
denominator.
45°
V5
45°
X
Answer: 10/2
Step-by-step explanation:
Find the solution to the system of equations.
You can use the interactive graph below to find the
solution.
–2x + 2y = -4
3x + 3y = -18
Kimberly has $120 to spend at the bookstore. Kimberly buys a hardcover book for $36, as well as some gift cards for her family and friends. Each gift card is $15. How many gift cards can Kimberly buy
Answer:
she can buy 5 more
Step-by-step explanation:
What's 2/5 divided by 1/10?
Please help
Answer:
4
Step-by-step explanation:
That's the answer......
Answer:
2/5 ÷ 1/10 = 4
Hope this helped!
Given that f(x)=x^2-13 and g(x)=5x+1, find (fg)(-1/5)
Answer:
[tex]\displaystyle (fg)(-\frac{1}{5})=0[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x^2-13\text{ and } g(x)=5x+1[/tex]
And we want to find:
[tex]\displaystyle (fg)(-\frac{1}{5})[/tex]
This is equivalent to:
[tex]\displaystyle =f(-\frac{1}{5})g(-\frac{1}{5})[/tex]
By substitution:
[tex]\displaystyle f(-\frac{1}{5})=(-\frac{1}{5})^2-13=\frac{1}{25}-13=-\frac{324}{25}[/tex]
And:
[tex]\displaystyle g(-\frac{1}{5})=5(-\frac{1}{5})+1=-1+1=0[/tex]
Hence:
[tex]\displaystyle =(-\frac{324}{25})(0)=0[/tex]
Our final answer is:
[tex]\displaystyle (fg)(-\frac{1}{5})=0[/tex]
There are 5 pens in a container on your desk. Among them, 3 will write well but 2 have defective ink cartridges. You will select 2 pens (without replacement) to take to a business appointment. Select the most appropriate statement for each part (a-e) when considering calculating the probability that both pens are defective.
a. Let X: the number of defective pens selected. X is a random variable. [Select ]
b. For each pen chosen from the container, we can consider "Defective" as the success and "Working" as the failure since we are interested in both pens being defective. [ Select] -
c. X is well approximated by a Binomial Random Variable X-Bin(n=2. pi=2/5) True
d. If the first pen was replaced before the second pen was selected (sampling with replacement), then X would be very well approximated by a Binomial Random Variable X-Bin(n=2, pi=2/5) True
e. Had you been drawing 2 pens (without replacement) from a container of 25 pens, X would be better approximated by a Binomial Random Variable.
Answer:
Kindly check explanation
Step-by-step explanation:
Total Number of pens = 5
Number of defective pens = 2
Number of non-defective pens = 3
A.) number of defective pens selected :
X : {0, 1, 2}
It is possible that no defective pen will be selected ; 1 defective will be chosen or both pens are defective.
2.)
Defective as Success (since selecting a defective pen is the point of interest.
3.)
Since selection is done without replacement
Probability of success per selection is different for each selection ;
Number of defective = 2
Number of observations = 5
P(success on first selection) = 2/5
P(success on second selection) = 1/4
Hence, X is not well approximated by a binomial random variable.
4.) if selection is done with replacement ; then then the probability of success per selection will be the Same for each selection made. Hence, X will be well approximated by a binomial Random variable.
5.) If sampling is done without replacement, then the the hypergeometric function will be a more effective approximation.
helppppp ahhhh!!
At the library there is a four hour span of time to use a computer. The time slots are 1/3 hour long. How many time slots are there?
Step-by-step explanation:
[tex] \frac{4 \: hours}{computer} \times \frac{1 \: slot}{ \frac{1}{3} hour } = 12 \: \frac{slots}{computer} [/tex]
Which graph shows dilation?
Answer:
The First Image
Step-by-step explanation:
A dilation is a type of transformation that enlarges or reduces a figure, therefore in the first Image we see an increase in scale factor of 2.
Write an equation that relates the angles in a triangle. The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.
Answer:
4x = 180
Step-by-step explanation:
angle x = angle y so we can say both angles are 'x + x' or '2x'
angle z = twice angle y (or twice angle x because they're equal) so we can say angle z = 2x
2x + 2x = 180