Answer:?=93/14
Step-by-step explanation:
the ? is the variable in this equation so we have to solve for it
1. distributive property ->
5(?+3) = 5?+15
?(6+3) = 9?
so 5?+15+9?=108 -> 14?+15=108
2. then solve,
14? -15 = 108 -15
14?=93
?=93/14
Donovan wanted to measure the height of his town's
courthouse. He measured the length of the building's
shadow on the ground. It reached 60 feet from the
courthouse. His eyes are 6 feet above the ground and he
stood exactly 5 feet from the end of the shadow. Using
similar triangles, find the height of the courthouse.
PLEASE HELP QUICK!!!!!!!!
Question 3
Solve the division equation using the fraction model.
A fraction strip partitioned into two equal parts, each part is partitioned into three equal parts. One of those parts is shaded. Below is the equation one half divided by three equals blank.
A. one sixth
B. 5
C. three sixths
D. 6
Answer:
I think option no B is the correct answer wer.
Laterfah and Eric Lewis have obtained a mortgage loan at a 5.5% annual interest rate for 25 years. The home's selling price is $175,000, and they need a 20% down payment. The bank will allow them to finance the closing costs as part of the mortgage. What is the actual amount financed with the mortgage? Find the closing cost and the total amount of the mortgage if the closing costs are financed.
Answer:
The selling price of the house is $175,000 and they need to make a 20% down payment, so the down payment amount is:
Down payment = 20% x $175,000 = $35,000
To find the amount financed with the mortgage, we need to subtract the down payment from the selling price:
Amount financed = Selling price - Down payment
Amount financed = $175,000 - $35,000
Amount financed = $140,000
Next, we need to calculate the closing costs. Let's assume the closing costs are 3% of the selling price:
Closing costs = 3% x $175,000 = $5,250
Since the bank allows them to finance the closing costs as part of the mortgage, we need to add the closing costs to the amount financed:
Total amount of the mortgage = Amount financed + Closing costs
Total amount of the mortgage = $140,000 + $5,250
Total amount of the mortgage = $145,250
Therefore, the actual amount financed with the mortgage is $140,000, the closing costs are $5,250, and the total amount of the mortgage if the closing costs are financed is $145,250.
Show that y=2x^3−6x+10 is a solution to the differential equation: −y′′−xy′′−2y'=−24x^2.
The equation y=2x^3−6x+10 is a solution to the differential equation: −y′′−xy′′−2y'=−24x^2.
To show that y = 2x^3 - 6x + 10 is a solution to the given differential equation, we need to verify that when we substitute y and its derivatives into the differential equation, the equation holds true.
First, let's find the first and second derivatives of y:
y' = d/dx (2x^3 - 6x + 10) = 6x^2 - 6
y'' = d/dx (6x^2 - 6) = 12x
Now, let's substitute y, y', and y'' into the differential equation:
-(y'') - x(y'') - 2y' = -24x^2
Substituting the values:
-(12x) - x(12x) - 2(6x^2 - 6) = -24x^2
Simplifying:
-12x - 12x^2 - 12x^2 + 12 = -24x^2
Combining like terms:
-24x^2 - 24x + 12 = -24x^2
We can see that the equation holds true, as both sides of the equation are equal.
Therefore, we have shown that y = 2x^3 - 6x + 10 is a solution to the differential equation -y'' - xy'' - 2y' = -24x^2.
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70 POINTS!!!!! please answer correctly and you will get brainlest sticker!
Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 neighborhood residents are displayed in the histogram below. A histogram titled Neighborhood Monthly water bill has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8.
Which of these correctly describes the shape of the distribution of water bills?
uniform
skewed left
skewed right
roughly symmetric
Based on the given frequency distribution in the histogram, the shape of the distribution of water bills can be described as skewed right. Option C
How to correctly describes the shape of the distribution of water billsIn a skewed right distribution, the tail of the distribution extends to the right side, indicating that there are some higher values or outliers on that end.
In this case, we can observe that there are more residents with higher water bills (e.g., 13 residents with bills in the range of 200 to 225) compared to the lower bills (e.g., 1 resident with a bill in the range of 100 to 125). This indicates a right-skewed pattern.
Therefore, the correct answer is "skewed right."
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The point (-3, 5) has been reflected so that the image is at (5, -3). What is the line of reflection?
A. x-axis
B. y-axis
C. y=x
D. y=-x
Please select the best answer from the choices provided
A
Mark this and return
Save and Exit
Next
Submit
Answer:
C. y=x
Step-by-step explanation:
If you use a graphing calculator and plot the points (-3,5) & (5,-3) and then graph y=x you can see it is the line of reflection.
Also when reflecting over the line y=x, we switch our x and y.
Let via V2: 1 V3 2 and w= 1 Is w in the subspace spanned by {V1, V2, V3}? Why? -1 4 3 4 Choose the correct answer below. O A. Vector w is not in the subspace Span{V1, V2, V3} because the rightmost column of the augmented matrix of the system X1 V1 + x2V2 + X2 V3 = w is not a pivot column. B. Vector w is in the subspace spanned by {V1, V2, V3} because w is a linear combination of V1, V2, and Vz. C. Vector w is not in the subspace spanned by {V1, V2, V3} because the equation X7 V1 + x2V2 + X3 V3 = w has no solution which can be seen because an echelon form of the augmented matrix of the system has a row of the form [O ... 0 b] with b0. OD. Vector w is in the subspace spanned by {V1, V2, V3} because the subspace generated by Vy, V3 is R3 V2, and
Vector w is not in the subspace span{V1, V2, V3} because the rightmost column of the augmented matrix of the system X1 V1 + X2 V2 + X3 V3 = w is not a pivot column. The correct answer is A.
To see this, we can construct the augmented matrix:
[1 1 -1 | 1]
[0 1 2 | 0]
[-1 4 3 | 0]
[4 -1 4 | 0]
Performing row reduction, we get:
[1 0 3 | 1]
[0 1 2 | 0]
[0 0 0 | 1]
[0 0 0 | 4]
Since the rightmost column of the row-reduced augmented matrix is not a pivot column, there is no solution to the system X1 V1 + X2 V2 + X3 V3 = w.
Therefore, vector w is not in the subspace spanned by {V1, V2, V3}.
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Solve for p. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -31p+79 > -59p+81
Answer:
The answer is
p > 1/14Step-by-step explanation:
-31p+79 > -59p+81
Group like terms
Send the constants to the right side of the expression and those with variables to the left side
That's
- 31p + 59p > 81 - 79
Simplify
We have
28p > 2
Divide both sides by 28
We have the final answer as
p > 1/14Hope this helps you
Im stuck on this problem. Please explain how you got your answer
The function \(y=0.3^x\) represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.
Population Growth Equation
The formula for the Population Growth Equation is:
\(P_f=P_o*(1+\frac{R}{100}) ^t\)
Pf= future population
Po=initial population
r=growth rate
t= time (years)
growth or decay factor = (1 ±r)
When 1+R > 1, the equation represents growth, while 1+R < 1 the equation represents decay.
The question gives:
\(y=0.3^x\), then
Pf=y
Po= 1
\((1+\frac{R}{100}) =0.3\) , thus
\((100+R}) =30\\ \\ R=-100+30\\ \\ R=-70\)
r= -70%= -0.7
decay factor= (1-0.7)=0.3
Therefore,
1+R will be = 1+(-0.7)=1 - 0.7 =0.3
When 1+R >1, the function represents exponential growth.
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(a) select one of the pairs of systems and write down its number. (b) for the pair selected, identify each system and state one function of that system. (c) explain how the two systems work together to help maintain homeostasis in an individual.
a. Pair 2 is selected.
b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.
c. The two systems work together by sharing the region of the mouth and upper throat.
First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.
How does the respiratory system and the digestive system work together?The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.
The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.
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in the scatterplot there is a
Answer:
i dont see anything
Step-by-step explanation:
Answer:
you didnt add a pic
Step-by-step explanation:
Solve for xxx. Enter the solutions from least to greatest. 3x^2 - 9x - 12 = 03x
2
−9x−12=0
The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.
To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a),
where a, b, and c are the coefficients of the quadratic equation.
In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:
x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)
= (9 ± √(81 + 144)) / 6
= (9 ± √(225)) / 6
= (9 ± 15) / 6.
We have two possible solutions:
For the positive root:
x = (9 + 15) / 6
= 24 / 6
= 4.
For the negative root:
x = (9 - 15) / 6
= -6 / 6
= -1.
The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.
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Look at the data under PURCHASE BEHAVIOR. How often do consumers in this segment purchase a backpack? Purchase behavior last quarter - 23% : a. Once every 6 years b. Once every 3 years c. Once every year d. Once every 2 years e. Once every 5 yrs
By looking at the data under PURCHASE BEHAVIOR, we can see that the consumers in this segment purchase a backpack at a range of purchase every five years. The Option E is correct.
What determines a Consumer purchase interval?We have several factors that can determine a consumer's purchase interval, including:
Product usage: How frequently a product is used or consumed can influence the consumer's purchase interval. If a product is used frequently, the consumer may need to purchase it more often.Product durability: The durability of a product can impact the purchase interval. If a product is durable and lasts a long time, the consumer may not need to purchase it as frequently.Price: The price of a product can also determine the purchase interval. If a product is expensive, the consumer may wait longer before making another purchase.Consumer behavior: Consumer behavior, such as brand loyalty or habit, can also influence the purchase interval. Consumers who are loyal to a particular brand may purchase that brand more frequently, while others may be more open to trying different brands and products etc.Read more about Consumer
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Answer:
Step-by-step explanation:
answer is c. once every year
drag the tiles to the boxes to form correct pairs. not all tiles will be used. determine each segment length in right triangle . 14 7
To determine the segment length in a right triangle, you would need to use the Pythagorean theorem which states that the sum of the squares of the lengths of the two shorter sides (legs) of a right triangle is equal to the square of the length of the longest side (hypotenuse).
In this case, if we assume that 14 is the length of the hypotenuse and 7 is one of the legs, we can solve for the other leg using the Pythagorean theorem:
14²= 7² + x²
196 = 49 + x²
x² = 147
x = √147
Therefore, the length of the other leg in the right triangle is √147.
In this case, let's consider the side lengths 14 and 7 as the two legs of the right triangle. To find the hypotenuse, apply the Pythagorean theorem:
Hypotenuse² = Leg₁² + Leg₂²
Hypotenuse² = 14² + 7²
Hypotenuse² = 196 + 49
Hypotenuse² = 245
Hypotenuse = √245
So, drag the tiles "14" and "7" to the boxes representing the legs, and "√245" to the box representing the hypotenuse. This forms the correct pairs for the segment lengths in the right triangle.
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the probability that a visitor to an animal shelter will adopt a dog is 0.10. out of 9 visits, what is the probability that at least (equal to or more than) 1 dog will be adopted?
The probability of having at least one dog adopted is 0.6126
It is given that the probability to adopt a dog is 0.1
The adoption of the dog here clearly follows a Binomial distribution
ⁿCₓ X pˣ X (1 - p)ⁿ⁻ˣ
where,
n = no. os sample
p = probability of success
x = random variable.
Here the success would be the adoption of a dog, We are given here there were 9 visits
Hence,
n = 9
p = 0.1
1 - p = 0.9
we need to find the probability of the adoption of at least one dog
= P(X ≥ 1)
= 1 - P(X = 0)
Hence we get
P(X = 0)
= ⁹C₀ X 0.1⁰ X 0.9⁹
= 0.3874
Hence,
P(X ≥ 1)
= 1 - 0.3874
= 0.6126
Therefore the probability that at least one dog will be adopted is 0.6126
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April has 6 fruit bars.she cuts them into halves. how many 1/2 size bar pieces does she have
Answer:
12
Step-by-step explanation:
If you cut them into halves then there will be twice as many pieces.
so you do:
6 x 2
= 12
The price of the television was increased from $200 to $250. By what percentage was the price of the television increased?
Answer:
the price of the television increased by 25%.
Step-by-step explanation:
Answer:
25%.Step-by-step explanation:
In anova, by dividing the mean square between groups by the mean square within groups, a(n) _____ statistic is computed.group of answer choices
In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance statistic is computed.
What is Analysis of variance ?
With the help of the statistical analysis approach known as ANOVA, apparent aggregate variability within a data set is explained by separating systematic components from random factors. Systematic influences, but not random ones, statistically affect the data set that is being presented.What are some instances where ANOVA has been applied?
An ANOVA demonstrates the link between the dependent variable and the level of the independent variable. For illustration: In order to determine whether there is a difference in the number of hours of sleep each night as your independent variable, you divide the groups into low, medium, and high social media use categories.Learn more about Analysis of variance
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The lengths of the sides of a triangle are, in units, (2-x)/(2x+6),(2x)/(2x+6), and (1)/(2x+6). What is the perimeter of the triangle in simplest terms (in units)?
A. (1)/(2)
B. (3+x)/(2x+6)
C. -(1)/(2)
D. (27+3x)/(2x+6)
Answer:
\(\boxed{\tt B.\:\: \frac{3+x}{2x+6}}\)
Step-by-step explanation:
Note:
Perimeter of triangle = sum of All sides.
For the question:
\(\tt Side \:\:1= \frac{2-x}{2x+6}\)
\(\tt Side\:\:2=\frac{2x}{2x+6}\)
\(\tt Side\:\:3=\frac{1}{2x+6}\)
Now
Perimeter of triangle= sum of all sides
= Side 1+ side 2+ side 3
= \(\tt \frac{2-x}{2x+6}+ \frac{2x}{2x+6}+ \frac{1}{2x+6}\)
= \(\tt \frac{2-x+2x+1}{2x+6}\)
=\(\tt \frac{3+x}{2x+6}\)
Therefore, The perimeter of the triangle in simplest terms : \(\boxed{\tt B.\:\: \frac{3+x}{2x+6}}\)
Time (hours) 2 4 6 8
Distance (miles) 8 16 24 32
Is the linear relationship also proportional? Explain.
Yes, the constant of proportionality is 4.
Yes, there is no constant of proportionality.
No, the constant of proportionality is 4.
No, there is no constant of proportionality.
The linear relationship between time and distance can be considered proportional. The constant of proportionality in this case is 4.
In a proportional relationship, the ratio between the two quantities remains constant. Here, as time increases by 2 hours, the distance also increases by 8 miles. Let's calculate the ratio of distance to time for each pair of values:
For the first pair (2 hours, 8 miles):
Ratio = distance / time = 8 miles / 2 hours = 4 miles/hour
For the second pair (4 hours, 16 miles):
Ratio = distance / time = 16 miles / 4 hours = 4 miles/hour
For the third pair (6 hours, 24 miles):
Ratio = distance / time = 24 miles / 6 hours = 4 miles/hour
For the fourth pair (8 hours, 32 miles):
Ratio = distance / time = 32 miles / 8 hours = 4 miles/hour
As we can see, the ratio of distance to time remains constant at 4 miles per hour for all the pairs. This indicates a proportional relationship between time and distance.
Therefore, the linear relationship is also proportional, and the constant of proportionality is 4.
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The revenue from the sale of a product is given by the function R=400x−x3. Selling how many units will give positive revenue?
ANSWER:
Selling more than 0 and less than 20 units will give positive revenue.
STEP-BY-STEP EXPLANATION:
We have the following function:
\(R=\: 400x-x^3\)Now, we propose the following inequality:
\(\begin{gathered} 400x-x^3>0 \\ \text{ solving for x:} \\ x\cdot(400-x^2)>0 \\ x\cdot(x-20)\cdot(x+20)>0 \\ \text{ therefore:} \\ x>0 \\ x-20>0\rightarrow x>20 \\ x+20>0\rightarrow x>-20 \\ \text{ in interval form:} \\ (-\infty,-20)\cup(0,20) \end{gathered}\)Since negative units cannot be sold, we are then interested in the range from 0 to 20, therefore, if more than 0 and less than 20 units come in, the revenue will be positive.
PLEASE HELP MEEEE ITS KAP MATH MODELS
The perimeter of half of the basketball court is 194 feet.
How to find the perimeter of a basketball court?The basket ball court is divided into two equal halves. The perimeter of the halve of the basket ball court can be calculated as follows:
Therefore, the perimeter is the sum of the whole sides of half of the basket ball court.
Hence,
perimeter of half of the basket ball court = 94 / 2 + 94 / 2 + 50 + 50
perimeter of half of the basket ball court = 47 + 47 + 100
perimeter of half of the basket ball court = 94 + 100
perimeter of half of the basket ball court = 194 feet
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Question 17
Please help me
Answer:
∠A = 48
∠B = 58
∠BCA = 74
Step-by-step explanation:
m∠BCD is an exterior angle of a triangle while m∠A and m∠B are opposite interior angles of m∠BCD
Exterior angles of a triangle are equal to the sum of the opposite interior angles, hence m∠BCD = m∠A + m∠B
Knowing this we can create an equation to solve for y
∠BCA = 106° , ∠B = 3y + 22 and ∠A = 4y
If m∠BCD = m∠A + m∠B then 106 = 3y + 22 + 4y
106 = 3y + 22 + 4y we now solve for y
combine like terms ( 3y + 4y = 7y )
106 = 7y + 22
subtract 22 from both sides
84 = 7y
divide both sides by 7
12 = y
Now we can find the measures of ∠A and ∠B by plugging in the value of y into their expressions
∠A = 4y
y = 12
∠A = 4(12) = 48°
∠B = 3y + 22
y = 12
∠B = 3(12) + 22
3 * 12 = 36
∠B = 36 + 22 = 58°
Finally we want to find the measure of ∠BCA
∠BCA and ∠BCD are supplementary angles
Supplementary angles add up to 180°
Hence ∠BCA + ∠BCD = 180
∠BCD = 106°
∠BCA + 106 = 180
subtract 106 from both sides
∠BCA = 74°°
Please help me with geometry :(
Answer:
I think it's C is true but make sure
aiuda porfavor es para un examen
Answer:
La respuesta a tu pregunta es A) \(\frac{1}{2}\)
Step-by-step explanation:
0.5 en fraccion es \(\frac{1}{2}\) .
0.5 tambien se dise mitad.
espero que esto te ayudo!
brainliest porfas!
Identify the values of coefficients a, b, and c in the quadratic equation x^2-2x+7=0
Answer:
a= +1
b= -2
c= +7
Step-by-step explanation:
a= coefficient of xX^2 = +1
b= coefficient of X = -2
c = the constant term= +7
a new car is offered with 10 different options. how many different combinations may a new car have installed? a new car is offered with 10 different options. how many different combinations may a new car have installed?
The number of different combination may a new car would have is 10 ways.
What is a combination in mathematics?
The combination is defined as "an arrangement of objects in which the order in which the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.
Given that there are 10 different options.
We have to choose one car.
So total number of combinations = \(^{10}C_1\)
= 10!/(9!)(1!)
= 10 ways
Hence, the number of different combination may a new car would have is 10 ways.
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In 10 ways the combination of a new car can be installed as followed by the rules of Permutation combination.
what is Permutation combination ?
Putting things or numbers in order is the definition of a permutation. Combinations are a method of choosing elements such as numbers or objects from a collection or set of elements without regard to the elements' order.
Solution:
Given that the car are 10 different options.
We have to choose one car.
So total number of combinations = 10C1
= 10!/(9!)
= 10 ways
Therefore, In 10 ways the combination of a new car can be installed.
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Which of the following swaps elements 0 and 1 in array?int[] array = {7,8,10,11,4,3};I.array[0] = array[1];array[1] = array[0];II.int save = array[0];array[0] = array[1];array[1] = save;III.array[0]+= array[1];array[1] = array[0]-array[1];array[0]-= array[1];
The correct code to swap elements 0 and 1 in the given array {7, 8, 10, 11, 4, 3} would be: int save = array[0];array[0] = array[1];array[1] = save;
The code above uses a temporary variable "save" to store the value of the first element of the array, then assigns the value of the second element to the first element, and finally assigns the value of "save" (which holds the original value of the first element) to the second element.
The other lines of code following this swap code would perform additional operations on the array, but they do not correctly swap the first two elements of the array.
For example, the line array[0] = array[1]; in the given code only assigns the value of the second element to the first element, effectively overwriting the original value of the first element before it can be saved. Similarly, the line array[1] = array[0]; then assigns the overwritten value of the first element to the second element, resulting in no swap at all.
Therefore, the correct code to swap the first two elements of the array is the code I mentioned at the beginning of this answer.
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Which of the following swaps elements 0 and 1 in array?
int[] array = {7,8,10,11,4,3};array[0] = array[1];array[1] = array[0];int save = array[0];array[0] = array[1];array[1] = save;array[0]+= array[1];array[1] = array[0]-array[1];array[0]-= array[1];1/9 rational or irrational.
Answer:
-> rational
Step-by-step explanation:
1/9 is rational because it can be written as a fraction, whole number, integer, etc.
-> Also see attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Kayla has 52 CDs in her music collection. Let c
represent the number of country music CDs in
Kayla's collection. Which expression can be used
to find the number of CDs that are not country
music?
A. c-52
B. 52+ c
C.
52
D. 52-c
The expression can be used to find the number of CDs that are not country music is 52-c. The correct option is D.
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 Kayla has 52 CDs in her music collection. Let c represent the number of country music CDs in Kayla's collection.
The expression can be used to find the number of CDs that are not country music is written as below:-
E = 52-c
The correct option is D for the required expression.
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