we have the equation
2/3x +1/2y =4
Find out the intercepts
step 1
Find out the y-intercept (value of y when the value of x=0)
For x=0
2/3(0) +1/2y =4
(1/2)y=4
y=8
y-intercept is (0,8)
step 2
Find out the x-intercept (value of x when the value of y=0)
For y=0
(2/3)x+(1/2)(0)=4
(2/3)x=4
x=6
x-intercept is (6,0)
step 3
Plot the intercepts, join them, and graph the line
see the attached figure
PLEASE HELPP FAST!! A parking garage has 6 levels below ground. Each level is the same height. Consider ground level to be 0. The depth of the the sixth level of the parking garage is −135.6 ft. What is the depth of the first level of the parking garage? Enter your answer in the box.
Answer:
its -22.6 just took the test
Step-by-step explanation:
The depth of the first level is - 22.6 ft.
In this question why we divided by 6 ?Given in the question ground level is 0 and last level is 6.We can think of it as 7 horizontal lines starting with the ground and these 7 lines makes 6 floors below the ground also given each floor is of same height.
According to the given question
A parking garage has 6 levels below ground. Each level is the same height. Consider ground level to be 0. The depth of the the sixth level of the parking garage is −135.6 ft.
∴ The depth of first level of the parking garage is
= -135.6/6
= -22.6.
So, The depth of the first level is - 22.6 ft.
A diagram is attached below for more in depth understanding.
Learn more about these type of problems here :
https://brainly.com/question/13762850
#SPJ6
Question 15 of 60
Choose the symbol that correctly compares the fractions below.
8 8
-?-
10 10
OA. None of these are correct.
OB. <
C. >
OD. =
SUBMIT
Answer:
D
Step-by-step explanation:
Find the domain and range of the function f(x) = sqrt(2 - x - x ^ 2) .
Answer:
See belowStep-by-step explanation:
Given function:
\(f(x) = \sqrt{2 - x - x ^ 2}\)As any square root function, its range is all non-negative numbers:
f(x) ≥ 0 or f(x) ∈ [0, +∞)The domain the x values when the expression under root is non-negative:
2 - x - x² ≥ 0x² + x - 2 ≤ 0(x + 2)(x - 1) ≤ 0- 2 ≤ x ≤ 1or
x∈ [-2, 1]Marcia is at a store with a 20% off sale. She also has a coupon for an additional 10% off the sale price. Prove or disprove the following statement: A 20% discount on the original price of an item followed by the use of a 10% coupon, results in a total discount of 30%.
is it multipuction then do that the rest
70 POINTSS)NEED FAST ANSWERS)
A square with a side length of 42 meters was created from a square with a side length of 3.5 meters using a scale factor. What is the scale factor?
12:1
24:1
144:1
147:1
Answer:
multiply all of them then add all of them then divide by the lowest number
12:1 is the scale factor
3.5 ÷ 3.5 = 1 and 142 ÷ 3.5 =123.5 so 42:123.5 ratio simplified is 12:1
Looking at the question, to find the scale factor we are going to divide 42 by 3.5 which is 12. To check our work we will do 1 times 3.5 which is 42.
Why is it not 147:1? Well, scale factoring means that in two similar geometric figures, the scale factor is the ratio of their corresponding sides, dividing the two corresponding lengths of the sides will gives the ratio
To check go to:
https://www.ginifab.com/feeds/cm_to_inch/scale_factor_calculator.html
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
If 15% of a number equals 4, find 60% of that number.
Answer:
16
Step-by-step explanation:
calculate the surface area
help plsss
Regression analysis was applied between sales data (y in $1000s) and advertising data (x in $100s) and the following information was obtained. Ŷ = 12 + 1.8x n = 17 SSR = 225 SSE = 75 sb1 = .2683 Based on the above estimated regression equation, if advertising is $3000, then the point estimate for sales (in dollars) is?
The point estimate for sales when advertising is $3000 is $5412.
Based on the given information, the estimated regression equation is Ŷ = 12 + 1.8x, where Ŷ is the estimated value of the dependent variable (sales), x is the value of the independent variable (advertising), and the constants 12 and 1.8 are the coefficients of the regression equation.
If advertising is $3000, then the point estimate for sales (in dollars) is the value of Ŷ when x = 3000. Substituting this value into the estimated regression equation, we get:
Ŷ = 12 + 1.8 * 3000 = 12 + 5400 = 5412
So, the required amount is $5412.
Learn more about Regression at:
brainly.com/question/26755306
#SPJ4
Betty recorded the number of visitors at her art gallery during the week: Day Visitor Tuesday 28 Wednesday 20 Thursday 18 Friday 14 She expected to have 20 visitors each day. To determine whether the number of visitors follows a uniform distribution, a chi-square test for goodness of fit should be performed (alpha = 0.10). = [(-E) E Using the data above, what is the chi-square test statistic? Answer choices are rounded to the hundredths place. Type here to search
The chi-square test statistic is given as follows:
5.2.
How to calculate the chi-square test statistic?The chi-square test statistic is calculated as sum of the differences squared between the observed measures and the expected measures, divided by the number of observations.
The expected measure for this problem is of:
20.
The observed measures were of:
28, 20, 18, 14.
Hence the test statistic is calculated as follows:
1/20[(28 - 20)² + (20 - 20)² + (18 - 20)² + (14 - 20)²] = 5.2.
More can be learned about the test of an hypothesis at brainly.com/question/13873630
#SPJ1
which of these is the quadratic parent function
The quadratic parent function, f(x) = x², represents the most basic form of a quadratic function.
f(x) = x² is called the "parent" or "standard" form because it serves as a template or starting point for other quadratic functions.
In this function, x represents the input or independent variable, and f(x) represents the output or dependent variable.
The function takes any real number as an input, squares it, and produces the corresponding output.
By modifying the quadratic parent function with additional terms or coefficients, we can create different variations of quadratic functions that result in shifts, stretches, or compressions of the parabola, as well as changes in its orientation or vertex position.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ1
Pls help
Find the surface area of the cylinder.
In the picture there is a cylinder with height 5 inches and diameter 4 inches. The surface area of cylinder is 87.62.
Given that,
In the picture there is a cylinder with height 5 inches and diameter 4 inches.
The surface area of a cylinder is the area that is enclosed by the flat bases and the curving surface of the cylinder. The cylinder's total surface area includes the area of the curving surface as well as the areas of the two circle-shaped bases of the cylinder.
The surface area of cylinder is 2πr²+2πrh
r is radius which is diameter/2
r=4/2=2
h is 5
Surface area of cylinder= 2πr²+2πrh
=2π×2²+2π×2×5
=8π+20π
=28π
=28×3.14
=87.92
Therefore, the surface area of cylinder is 87.62.
To learn more about cylinder visit: https://brainly.com/question/16134180
#SPJ1
mean of 7
observations was calculated as 40. It was detected on rechecking that the value 63 was
wrongly copied as 36. Find the correct mean?
Answer:
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Because 63 is a multiple of 7
So.... 63/7
=9
So this shows us 9 is the mean
HOPE IT HELPS YOU!
PLEASE MARK ME AS BRAIN LIST IF MY ANSWER IS HELP FUL
Which is the simplified form of -7+5-12?
Answer:
\( - 14\)
Step-by-step explanation:
\( - 7 + 5 - 12 \\ ( - 7 + 5) - 12 \\ - 2 - 12 \\ = - 14\)
hope this helps
brainliest appreciated
good luck! have a nice day!
So the right answer is -14.
Look at the attached picture
Hope it will help you
Good luck on your assignment
If one inch represents 6 feet, what dimensions would you use to make a scale drawing of a building 240 feet by 500 feet?
Answer: It would be 40 inches by 83 1/3 inches
Step-by-step explanation:
The dimensions on the scale drawings will be 40 inches by 83.34 inches.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that If one inch represents 6 feet. The dimensions of 240 feet by 500 feet in the scale drawing will be,
6 feet = 1 inch
1 feet = 1 / 6 inch
240 feet = ( 240 / 6 ) inches
240 feet = 40 inches
500 feet = ( 500 / 6 ) inches
500 feet = 83.34 inches
To know more about an expression follow
https://brainly.com/question/17419653
#SPJ2
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:
\(\sf D)\quad\dfrac{1}{14}\)
Step-by-step explanation:
\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)
\(\implies \sf P(\textsf{orange marble})=\dfrac{1}{7}\)
\(\implies \sf P(\textsf{tails})=\dfrac{1}{2}\)
\(\implies \sf P(\textsf{orange marble})\:AND\:P(\textsf{tails})=\dfrac{1}{7} \times \dfrac{1}{2}=\dfrac{1}{14}\)
The Sine Function
Consider the following sine regression model
y = 18.614 sin(0.521 x - 1.984) + 76.900
Predict y (14).
a. 94.8
b. 61.5
c. 9.4
d. 77.3
Please select the best answer from the choices provided
Answer:
B. 61.5
Step-by-step explanation:
I calculated it logically
Need help now please!
The exact value of tan2θ in simplest radical form is -21/√7.
What is the value of tan2θ?The value of tan2θ at the given quadrant is calculated as follows;
From Pythagorean identity, we know that;
sin² θ + cos² θ = 1
cos² θ is calculated as follows;
(3/4)² + cos² θ = 1
9/16 + cos² θ = 1
cos² θ = 1 - 9/16
cos² θ = 7/16
cos θ = √(7/16)
The value of tan θ is calculated as follows;
tan θ = sin θ / cos θ = 3/4 x 4/√7 = 3/√7
Now, we will find tan 2θ;
tan 2θ = 2tan θ / (1 - tan² θ)
tan 2θ = 2(3/√7) / (1 - (3/√7)²)
tan 2θ = (6/√7) / (-2/7)
tan 2θ = -21/√7
Learn more about quadrant angle here: brainly.com/question/28587485
#SPJ1
Select the correct answer.
The points scored per game by a professional basketball player are represented by the box plot below.
8
16 18
Points per Game
If the player scores 9 points and 35 points in the next two games, how is the median of the data set affected?
O A.
О в.
O C.
O D.
10
12
14
20
22
The effect on the median points per game cannot be determined.
The median points per game increases.
The median points per game is not affected.
The median points per game decreases.
24 26
Answer:
Either A or B. I'm honestly not sure.
Factor 2x^3+3x^2+8x+12
Fill in answer
(2x+_) (x^2+_)
(2x+3) (x+2) (x−2) thats the answer
What are the coordinates of the endpoints of the midsegment for A RST that is parallel TS? Enter your answer by filling in the boxes. (_ , _) and (_ , _)
Answer:
2,4 3,5
Step-by-step explanation:
At a party, each person shakes hands once with every other person at the party. How many handshakes will happen if there are: a) 4 people at the party? b) 5 people at the party? c) 11 people at the party?
Answer:
there will be 55 handshakes.
Step-by-step explanation:
If there are n people at a party and each person shakes hands once with every other person, we can count the number of handshakes by adding up the number of handshakes each person has.
For example, the first person shakes hands with n-1 other people, the second person shakes hands with n-2 other people (since they already shook hands with the first person), and so on. The last person does not need to shake hands with themselves, so they shake hands with n-1 other people.
Therefore, the total number of handshakes is given by the formula:
(n-1) + (n-2) + ... + 2 + 1 = (n*(n-1))/2
a) If there are 4 people at the party, the total number of handshakes is:
(4*(4-1))/2 = 6
So there will be 6 handshakes.
b) If there are 5 people at the party, the total number of handshakes is:
(5*(5-1))/2 = 10
So there will be 10 handshakes.
c) If there are 11 people at the party, the total number of handshakes is:
(11*(11-1))/2 = 55
So there will be 55 handshakes.
Answer:
a) Six handshakes
b) Ten handshakes
c) 55 handshakes
Step-by-step explanation:
With every "set" of handshakes by a person, it decreases by one. Im pretty sure you cant handshake with yourself xD, so that's why it decreases by one every time. For example with 4 people at the party, the first person shakes the other people's hands, which is three, and which is also 4-1 which equals 3. Then with the second person in line at the same party, shakes the other people's hands, but not the first person in line cause they already had a handshake, which is two, and which is also 3-1 which equals 2. And u know how it goes. Until it gets to the last person in line, they can't have a handshake with themself so the number ends. Then you add all those numbers together and you have the answer.
If u dont really understand what i just said then you can draw the diagram yourself and you'll see
Find the value of x and/ory in each diagram below.
Answer:
3.) x=49 4.) x=29
Step-by-step explanation:
3.)
2x+82=180
2x=98
x=49
4.)
3x+3(91)=360
3x+273=360
3x=87
x=29
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
Learn more about the adjusted balance method at https://brainly.com/question/14351468.
#SPJ1
The same item is on sale at two stores. Which one is the better price? 60% off $60 or 55% off %50
Answer:
The item when it is costs $50 and there is a 55% item, as the cost would be $22.50
Step-by-step explanation:
Whenever a discount is offered on a certain item, we can find the new price of the item using the formula.
\(N(P)=O-(P*O)\), where N(P) is the new price (price when discount is applied), P is the percentage (converted to a decimal to simplify the problem), and O is the old price (price before discount is applied)
First store: Since the item costs $60 (O) at this store and there is a 60% discount (60% becomes 0.60 and is our P value), we can find the new price aka N(P):
\(N(0.60)=60-(0.60*60)\\N(0.60)=60-36\\N(0.60)=24\)
Second store: For this store, our O value is $50, and our P value is 0.55 (55% becomes 0.55):
\(N(0.55)=50-(0.55*50)\\N(0.55)=50-27.50\\N(0.55)=22.50\)
Thus, the second store has the better price
5 apples cost 60p how much does 1 apple cost
Answer:
It will cost 12p a one apple
Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 9 percent simple
interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual
interest is 3120 dollars. How much did she invest at each rate?
Amount invested at 3 percent interest is $____
Amount invested at 9 percent interest is $___
Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.
To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.
For the 3 percent interest account:
Interest_3_percent = x × 0.03
For the 9 percent interest account:
Interest_9_percent = 2x × 0.09
We know that the total annual interest is $3120, so we can set up the equation:
Interest_3_percent + Interest_9_percent = 3120
Substituting the above equations, we have:
x × 0.03 + 2x × 0.09 = 3120
Simplifying the equation:
0.03x + 0.18x = 3120
0.21x = 3120
Dividing both sides of the equation by 0.21:
x = 3120 / 0.21
x = 14857.14
Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.
Answer:
Step-by-step explanation:
X is the amount invested at 6%
Y is the amount invested at 9%
0.06X + 0.09Y = 4998
X = 2Y
0.06(2Y) + 0.09Y = 4998
.12Y + 0.09Y = 4998
0.21Y = 4998
21Y = 499800
Y = 499800/21 = 23800
So X = 2*23800 = 47600
$47,600 is invested at 6% and $23800 is invested at 9%
PLSSS HELP!! Ty whoever helped me! :) Question: Select the statement that is true about the two-dimensional figure.
A quadrilateral with the vertices labeled L, M, N and O. Angles M L O and L M N are greater than 90 degrees, and angles L O N and M N O are less than 90 degrees.
∠LMN is an acute angle.
∠LMN is an obtuse angle.
∠MNO is an obtuse angle.
∠MNO is a right angle.
∠LMN is an obtuse angle.
==========================================
Explanation
Let's go through the answer choices to see which are true, and which are false.
A. This is false. It is stated that "LMN is greater than 90 degrees", so this angle is obtuse. Acute angles are less than 90 degrees.B. This is true. See choice A above.C. This is false. We're told that "angle MNO is less than 90 degrees". That makes the angle acute. D. This is false. See choice C above. Right angles are 90 degrees exactly. Often a small square marker is used to denote a 90 degree angle.help me fast How many inches are in 5 feet?
12 inches
36 inches
60 inches
72 inches
Answer:
60 inches
Step-by-step explanation:
5 ft x 12 in/ft = 60 in
Right triangle LMN has vertices L(7, –3), M(7, –8), and
N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).
In this case we have a translation of 8 units to the left and 11 units upwards.
How to find the translation?To find the translation, we just need to compare the two known vertices before and after the translation.
If we have a translation of a units in the x-axis and b units in the y-axis, we will get:
T(a, b)L ---> L'
We know that L = (7, -3) and L' = (-1, 8)
Then we can write:
(7 + a, -3 + b) = (-1, 8)
Then we have two equations:
7 + a = -1 ---> a = -1 - 7 = -8
-3 + b = 8 ---> b = 8 + 3 = 11
Then we have a translation of 8 units to the left and 11 units up-.
Learn more about translations at:
https://brainly.com/question/1046778
#SPJ1
Complete question:
"Right triangle LMN has vertices L(7, –3), M(7, –8), and
N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).
Find the translation done"
Nicole's scout troop is marching in the Fourth of July parade, so Nicole decided to make pins for each of them to wear. First, she cut a long roll of ribbon into 10 equal-sized pieces. Then, she tied one of the 5-inch-long pieces of ribbon on each pin.
Let ℓ represent the length of the entire roll of ribbon. Which equation models the problem? PLEASEEE HELP MEE
The equation that models the problem is ℓ = 10 x 5.
What does multiplication mean?Multiplication is the process of obtaining a product by combining numbers, matrices, vectors, or other quantities together under certain rules. Multiplication is one of the basic mathematical processes.
What equation represents the length of the ribbon?ℓ = length of each ribbon x number of ribbons cut
ℓ = 5 inches x 10
ℓ = 50 inches
To learn more about multiplication, please check: https://brainly.com/question/3385014