Answer:
The answer is 3 cups of orange juice.
Step-by-step explanation:
So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.
Answer:3
Step-by-step explanation:
2/3x - 1/9x + 5 = 20
Answer:I think the answer is x=27
Step-by-step explanation:
45. Real Estate Appreciation Bob Michaels purchased a
house 8 years ago for $42,000. This year it was appraised at
$67,500.
(a) A linear equation V = mt + b, 0
the value V of the house for 15 years after it was pur-
chased. Determine m and b.
(b) Graph the equation and trace to estimate in how many years
after purchase this house will be worth $72,500.
(c) Write and solve an equation algebraically to determine
how many years after purchase this house will be worth
$74,000.
(d) Determine how many years after purchase this house will
be worth $80,250.
19
Answer:
a)
Since t is between 0 and 15, and the house was purchased 8 years ago, we have two pairs of values:
t = 0, V(0) = 42000t = 8, V(8) = 67500Find the slope, m:
m = (67500 - 42000)/8 = 3187.50The value of b is 42000, since at t = 0, V = 42000
So the equation is:
V = 3187.50t + 42000b)
The graph is attached.
When V = 72500, t = 9.6 (approximately)
c)
When V = 74000
74000 = 3187.5t + 420003187.5t = 32000t = 32000/3187.5t ≈ 10 years (rounded down)d)
When V = 80250
80250 = 3187.5t + 420003187.5t = 80250 - 420003187.5t = 38250t = 38250/3187.5t = 12 years
according to the arizona chapter of the american lung association, 7% of the population has lung disease. of those people having lung disease, 90% are smokers; and of those not having lung disease, 74.7% are non-smokers. what are the chances that a smoker has lung disease?
The chances that a smoker has lung disease are approximately 9.4%. This probability is calculated using Bayes' theorem, considering the percentage of the population with lung disease, the percentage of smokers among those with lung disease, and the percentage of smokers among the total population.
To calculate the chances that a smoker has lung disease, we need to use conditional probability. Let's break down the given information:
- 7% of the population has lung disease.
- Of those with lung disease, 90% are smokers.
- Of those without lung disease, 74.7% are non-smokers.
We are interested in finding the probability of a smoker having lung disease. We can use Bayes' theorem to calculate this probability.
Let's define the events:
A = Having lung disease
B = Being a smoker
We want to find P(A|B), which is the probability of having lung disease given that the person is a smoker.
According to Bayes' theorem:
P(A|B) = (P(B|A) * P(A)) / P(B)
P(B|A) = Probability of being a smoker given that the person has lung disease = 90% = 0.9
P(A) = Probability of having lung disease = 7% = 0.07
P(B) = Probability of being a smoker = ?
To calculate P(B), we need to consider the overall population. The percentage of the population that has lung disease is 7%, and the percentage of smokers among the total population is not given. However, we can calculate it using the information provided.
Let's denote the percentage of non-smokers among the total population as NS. Then, the percentage of smokers among the total population is 100% - NS.
NS = Percentage of non-smokers among the total population = 100% - Percentage of smokers among the total population
NS = 100% - (100% - 7%) * (100% - 74.7%)
Simplifying the equation, we find:
NS ≈ 10.813%
Therefore, the percentage of smokers among the total population is approximately 100% - NS ≈ 89.187%.
Now, we can substitute the values into Bayes' theorem:
P(A|B) = (0.9 * 0.07) / 0.89187
Calculating the expression, we find:
P(A|B) ≈ 0.094, which is approximately 9.4%.
To know more about Bayes' theorem, visit
https://brainly.com/question/14989160
#SPJ11
In ΔDEF, the measure of ∠F=90°, FD = 3. 3 feet, and DE = 3. 9 feet. Find the measure of ∠D to the nearest degree. D
The measure of angle D in triangle DEF can be found using trigonometry. By applying the tangent function, we can determine that the measure of angle D is approximately 41 degrees.
In triangle DEF, we are given that angle F is a right angle (90 degrees), FD has a length of 3.3 feet, and DE has a length of 3.9 feet. To find the measure of angle D, we can use the tangent function.
Tangent is defined as the ratio of the length of the side opposite an angle to the length of the side adjacent to it. In this case, we can use the tangent function with respect to angle D.
The tangent of angle D is equal to the ratio of the length of side DE (opposite angle D) to the length of side FD (adjacent to angle D). Thus, tan(D) = DE / FD.
Substituting the given values, we have tan(D) = 3.9 / 3.3. Using a calculator or a trigonometric table, we can find the value of D to be approximately 41 degrees to the nearest degree. Therefore, the measure of angle D in triangle DEF is approximately 41 degrees.
Learn more about tangent function here:
https://brainly.com/question/28994024
#SPJ11
Solve the inequality.
-4 (7 + 6x)< -2(x+3)
write in inequality integer form
Answer:
-1 >x
Step-by-step explanation:
-4(7+6x)<-2(x-6)
-28-24x<2(x-6)
-28-24x<-2x-6
+6. +6
-22-24x<-2x
+24x +24x
-22 < 22x.
-22÷-22=1 that canceled out
+22÷-22= -1
-1>x. because we divided by a negative the inequality switched.
Hope this helped
Sam is saving for a guitar. He already has $50 saved and intends to save $30 each week. Sam found a guitar that costs $410. After how many weeks will Sam have saved enough money to buy the guitar?
Answer:
12 weeks
Step-by-step explanation:
30 x 12 = 360
which equals 12 weeks in this case and 360 + 50 equals 410 the 50 came from the 50 he already had
I hope this helps!!
Can you guys please help me on those three ASAP!!! for 100 points
Answer:
1. 12 yards.
2. 15 meters.
3. 217 centimeters.
Step-by-step explanation:
\(\frac{1}{2}\) · \(b\) · \(h\) is the formula. (for the area of a triangle.)
Plug in the numbers and solve.Hope it helped!
Edward bought 4 t-shirts and 3 pairs of socks for $37. Zach bought 2 pairs of socks and 5 t-shirts for $41. How much does a pair of socks cost?
Answer:
3$
Step-by-step explanation:
Let x be t-shirts and y socks.
4x + 3y= $37
2y + 5x= $41
x= (37 - 3y) ÷ 4
2y + 5((37-3y)÷4)=41
y=3
please help
i need it
Answer:
The answer of A= 3×5×5×5=375. In Exponential form as 3¹-5³.
The answer of B. The highest common factor of 375 and 150 is 75.
Step-by-step explanation:
hope it helps you.
Answer:
a)3 x 5 x 5 x 5 = 375
b) 75
Step-by-step explanation:
b)The gcf of 150 and 375 is 75.
Steps to find GCF
Find the prime factorization of 150
150 = 2 × 3 × 5 × 5
Find the prime factorization of 375
375 = 3 × 5 × 5 × 5
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 5 × 5
GCF = 75
A 3-foot pole casts a 4-foot shadow at a particular time of day. If a nearby tree casts a shadow 15 feet long at the same time of day, how tall is the tree?
Enter the exact value of your answer; do not round!
Answer:
The tree is 11.25 feet tall.
Step-by-step explanation:
Please see the image attached as well. Sorry for the bad handwriting, I'm on a computer.
We can think of this problem as two similar triangles, with the shadows and the objects forming that triangle.
To solve the height of similar triangles, we will set up a proportion.
3/4=x/15
You can also set up the proportion like this:
4/3=15/x
Either way, it doesn't really matter. I'm going to use 3/4=x/15.
Now we can use cross products to find our answer.
3×15=4x
45=4x
x=11.25
Therefore, the tree is 11.25 feet tall. Hope this helps!
a survey of magazine subscribers showed that 45.6% rented a car during the past 12 months for business reasons, 54% rented a car during the past 12 months for personal reasons, and 32% rented a car during the past 12 months for both business and personal reasons.
Probability that a subscriber rented a car during the past 12 months for business or personal reasons is 0.676, while the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons is 0.324
Part a
Probability that a subscriber rented a car during the past 12 months for business or personal reasons:
P(Business or Personal)
= P(Business) + P(Personal) - P(Both)
= 0.456 + 0.54 - 0.32
= 0.676
Part b
Probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons:
P(Did not rent for business or personal)
= 1 - 0.676
= 0.324
Learn more about probabilities here:
https://brainly.com/question/13468079
#SPJ4
Tommy used a straightedge and a compass to construct a square inside circle C, as shown.
Which of the following steps did Tommy take to construct the inscribed square? Select all steps in the construction.
A Construct a perpendicular bisector of the diameter AB.
B. Construct a perpendicular bisector of the diameter DE.
C. Construct a bisector of ADB to find the location of point E.
D. Use the compass to draw a circle centered at point c.
O E Use the compass to draw two arcs of the same radius centered at point C.
OF Use the straightedge to draw diameter AB of the circle.
OG Use the straightedge to draw lines connecting the endpoints of the two diameters.
Answer:
The correct options are;
A. Construct a perpendicular bisector of the diameter AB
D. Use the compass to draw a circle centered at point C
E. Use the compass to draw two arcs of the same radius centered at point C
F. Use the straightedge to draw diameter AB of the circle
G. Use the straightedge to draw lines connecting the endpoints of the two diameters
Step-by-step explanation:
To draw an inscribed square of a circle, the circle is first constructed. The diameter of the circle is drawn with a straight edge to find the first two vertices of the intended inscribed square. The perpendicular bisector of the diameter is then drawn intersecting the circumference to provide the other two vertices of the square.
The straightedge is then used to draw lines that connect the endpoints of the two diameters to form the inscribed square of the circle.
what is the value of this expression below when w=10 and x=7
10w-7x
Answer:
=51
Step-by-step explanation:
10w - 7x
10(10) - 7(7)
100 - 49
=51
Identify the domain and range of each relation
whether the relation is a function.
1. {(3, 6), (5,7), (7.7) (8. 9)}
1/4 + 5 1/3 fractions who do you do this problem no examples in my calls book.
Therefore, the sum of fraction 1/4 and 5 1/3 is 67/12.
To add the fractions 1/4 and 5 1/3, you need to find a common denominator for both fractions. First, convert the mixed fraction 5 1/3 into an improper fraction:
5 1/3 = (5 * 3 + 1) / 3 = 16/3
Now, let's find a common denominator. The denominators of the two fractions are 4 and 3. The least common multiple (LCM) of 4 and 3 is 12. Next, we'll convert both fractions to have a denominator of 12:
1/4 = (1 * 3) / (4 * 3)
= 3/12
16/3 = (16 * 4) / (3 * 4)
= 64/12
Now that both fractions have the same denominator, we can add them:
3/12 + 64/12 = (3 + 64) / 12
= 67/12
To know more about fraction,
https://brainly.com/question/28900164
#SPJ11
Find the Area of the triangle, Is it In or In2
Answer:
15 In²
Step-by-step explanation:
Area of triangle = 1/2 × base × height
1/2 × 6 × 5 = 15
Part A
View the graph of f(x) =- 2x2 - 4x + 3 in Desmos. Can the graph of f(x) be
the equation that matches this graph above? Explain your reasoning using
complete sentences.
What the answer ?
23. How many different outfits can be put together using 3 different pairs of pants, 2 shirts and 2 pairs of shoes
There are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.
There are 12 different outfits that can be put together using 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.
How to solve the problem:
To find out the number of different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes, we will simply multiply the number of options for each category together.
Number of options for pants = 3
Number of options for shirts = 2
Number of options for shoes = 2
Number of different outfits that can be put together
= 3 × 2 × 2
= 12
Therefore, there are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.
To know more about outfits visit:
https://brainly.com/question/17177003
#SPJ11
SIBLE POINTS
The perimeter of the larger rectangle is 2 meters greater than twice the perimeter of the smaller rectangle. What is the perimeter of the larger
rectangle?
3x - 1
x + 1
4x - 5
Х
Answer:
U equal them
Step-by-step explanation:
An divide
Molly was going to sell all of her stamp collection to buy a video game after selling half of them she changed her mind she then bought fifteen more how many did she start with if she now has 35
PLEASE HELP Reduce the fraction to lowest terms. K+7/4k+28
Answer:
1/4
Step-by-step explanation:
K + 7 / 4k + 28
The above expression can be simplified to its lowest term as follow:
K + 7 / 4k + 28
Factorise the denominator
(k + 7) / 4(k + 7)
Cancel out the common terms i.e (k + 7)
(k + 7) / 4(k + 7) = 1/4
Thus, (k + 7) / (4k + 28) in its lowest term is 1/4
After a particularly bad forearm break, a person loses motor function and feeling in their 4th and 5th phalanges, along with the side of the hand directly above these fingers. Which nerve(s) has/have been damaged
The nerve that is likely to be damaged in this case is the ulnar nerve.Based on the symptoms described.
The damage to the forearm and the resulting loss of motor function and sensation in the 4th and 5th phalanges and the side of the hand above these fingers suggest an injury to the ulnar nerve. The ulnar nerve is one of the major nerves that innervate the hand and forearm.
The ulnar nerve runs along the inner side of the forearm, near the ulna bone. It provides motor function to the muscles controlling the movement of the 4th and 5th fingers and the hypothenar muscles of the hand. Additionally, it supplies sensory innervation to the 4th and 5th fingers and the corresponding side of the hand. In cases of forearm fractures or trauma, such as a bad forearm break, the ulnar nerve can be compressed, stretched, or directly injured. This can lead to a condition known as ulnar nerve entrapment or ulnar neuropathy. Symptoms of ulnar nerve damage include weakness or paralysis of the affected fingers, loss of sensation, tingling or numbness in the 4th and 5th fingers, and pain along the path of the nerve.
It is important for individuals experiencing these symptoms to seek medical attention for proper diagnosis and treatment. Treatment options for ulnar nerve injuries may include immobilization, physical therapy, medications for pain management, and in severe cases, surgical intervention to decompress or repair the damaged nerve. Prompt medical care and rehabilitation can help improve the prognosis and restore function in the affected hand and fingers.
To learn more about ulnar nerve click here:
brainly.com/question/31667879
#SPJ11
The graph is posted now.
Answer:
where is the graph itself?
Answer:
see below
Step-by-step explanation:
Pre-image: A(3, 8), B(3, 3), C(7, 3)
Reflection in the x-axis changes the y-coordinate sign:
A'(3, -8), B'(3, -3), C'(7, -3)
Reflection in the y-axis changes the x-coordinate sign:
A''(-3, -8), B''(-3, -3), C''(-7, -3)
__
Comment
We have assumed that the first image is reflected again to get the second image. If the second image is supposed to be a reflection of the pre-image, then only the sign of x will change from the pre-image coordinates.
There are no "rotated" images; only reflected ones. (Though, after the second reflection, the image could be considered to be a 180° rotation of the pre-image.)
What is irrational number and is 4/3 a irrational number??
Answer: 4/3 is not irrational, it is rational
Explanation:
A rational number is a ratio, or fraction, of two integers. The denominator cannot be zero.
4/3 is rational since it's the ratio of the integers 4 over 3.
Since it is rational, it is not irrational. The term "irrational" literally means "not rational". Therefore, a real number is either of those options, but not both simultaneously.
A famous example of an irrational number is \(\pi \approx 3.14...\) because it cannot be written as a fraction of two integers. We can get approximations like 22/7, but never manage to capture the full value of \(\pi\) with a single fraction.
Another example of an irrational number is \(\sqrt{2}\)
\(\displaystyle\\Answer: \ \frac{4}{3} \ isn`t\ an\ irrational\ number\)
Step-by-step explanation:
An irrational number is an infinite non-periodic fraction
\(\displaystyle\\\frac{4}{3}=1\frac{1}{3} \\\\\frac{4}{3} =1.333333...\\\\\frac{4}{3}=1.(3)\)
1.(3) - is an infinite periodic fraction
\(\displaystyle\\Hence,\ \frac{4}{3} \ isn`t\ an\ irrational\ number\)
The perimeter of a square is 48 cm.
What is the length of the diagonal?
Answer:
The answers is the following d≈16.97cm
Step-by-step explanation:
How does the numerator of the repeated-measures t-statistic compare to the numerator of the single sample t-statistic
The numerator of the repeated-measures t-statistic is the difference between the means of two related groups, while the numerator of the single sample t-statistic is the difference between the sample mean and the population mean.
In a repeated-measures t-test, you compare the means of two related groups, typically in a pretest-posttest design or when participants are measured under two different conditions. The numerator for the repeated-measures t-statistic is calculated as:
Numerator (Repeated-Measures) = Mean_Difference - 0
where Mean_Difference is the mean of the differences between the two related groups.
In a single sample t-test, you compare the mean of a single sample to a known population mean. The numerator for the single sample t-statistic is calculated as:
Numerator (Single Sample) = (Sample_Mean - Population_Mean)
In summary, the numerators differ in that the repeated-measures t-statistic considers the differences between two related groups, while the single sample t-statistic compares a sample mean to a population mean.
To know more about statistic visit:
brainly.com/question/31577270
#SPJ11
write the standard form for this equation 2x^2+2y^2-24x-16y-8=0
Answer:
Y= x +4
Y= 4x-6
Y= 3x-4
Step-by-step explanation:
I don't know if i did it right. Because i haven't do this for a while. Hope this help LOL
The acceleration of an object (in m/s2) is given by the function a(t) = 6 sin(t). The initial velocity of the object is v(0) = -7 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = Preview b) Find the object's displacement (in meters) from time 0 to time 3. Preview meters c) Find the total distance traveled by the object from time 0 to time Preview meters
a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.
a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.
The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):
v(t) = ∫(6 sin(t)) dt
Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:
v(t) = -6 cos(t) + C
To find the constant C, we use the initial velocity v(0) = -7 m/s:
-7 = -6 cos(0) + C
-7 = -6 + C
C = -1
Therefore, the equation for the object's velocity is:
v(t) = -6 cos(t) - 1
b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:
Displacement = ∫[0,3] (-6 cos(t) - 1) dt
Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:
Displacement = [-6 sin(t) - t] from 0 to 3
Plugging in the upper and lower limits:
Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]
Displacement ≈ -6 sin(3) + 3
Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.
c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:
Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt
Since the absolute value function makes the negative part positive, we can rewrite the equation as:
Total Distance = ∫[0,t] (6 cos(t) + 1) dt
Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:
Total Distance = [6 sin(t) + t] from 0 to t
Plugging in the upper and lower limits:
Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]
Total Distance = 6 sin(t) + t
Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.
Learn more about distance here
https://brainly.com/question/30395212
#SPJ11
the expected cell frequency is based on the researcher's opinion.
True or false
False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.
In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.
The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.
By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.
Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.
To learn more about cell frequency
https://brainly.com/question/31994396
#SPJ11
Compute the matrix exponential e At for the system x' = Ax given below. x'1 25x1-25x2, Xx'2 20x1 -20x2 At e
The matrix exponential e^At for the given system is computed using diagonalization of matrix A and the formula e^At = P * E * P^(-1), where P is the matrix of eigenvectors, E is the diagonal matrix of exponential eigenvalues, and P^(-1) is the inverse of P.
To compute the matrix exponential e^At for the given system x' = Ax, where A is the coefficient matrix, we can follow the steps outlined below:
Step 1: Diagonalize the matrix A.
Find the eigenvalues λi of matrix A by solving the characteristic equation |A - λI| = 0, where I is the identity matrix.Find the corresponding eigenvectors vi for each eigenvalue λi.Form the diagonal matrix D with the eigenvalues λi as diagonal elements.Form the matrix P with the eigenvectors vi as columns.Step 2: Compute the matrix exponential of D.
Take the exponential of each diagonal element of D to obtain the diagonal matrix E = e^D.Step 3: Compute the matrix exponential e^At.
Use the formula e^At = P * E * P^(-1), where P^(-1) is the inverse of matrix P.Now, let's apply these steps to the given system x'1 = 25x1 - 25x2 and x'2 = 20x1 - 20x2.Step 1: Diagonalize matrix A.
The coefficient matrix A is:| 25 -25 |
A = | |
| 20 -20 |
Computing the eigenvalues λi, we find λ1 = 0 and λ2 = 5.Corresponding eigenvectors vi are v1 = [1, 1] and v2 = [1, 4].Forming the diagonal matrix D:| 0 0 |
D = | |
| 0 5 |
Forming the matrix P:| 1 1 |
P = | |
| 1 4 |
Step 2: Compute the matrix exponential of D.
Taking the exponential of each diagonal element, we have E = e^D:| e^0 0 |
E = | |
| 0 e^5 |
Step 3: Compute the matrix exponential e^At.
Using the formula e^At = P * E * P^(-1), where P^(-1) is the inverse of matrix P:e^At = P * E * P^(-1)
Performing the matrix multiplication, we obtain the matrix exponential e^At.
To learn more about matrix, click here: brainly.com/question/29335391
#SPJ11