Solving the equation s = zr - 6zc^4 for z would give you: \(z = \frac{s}{r - 6c^4}\).
How to Solve an Equation?Given the equation, s = zr - 6zc^4, to solve the equation for z, follow the steps below:
We have to isolate the variable "z" to one side of the equation if we are to solve the equation for z.
s = zr - 6zc^4
Factor out variable z
s = z(r - 6c^4)
Divide both sides of the equation by (r - 6c^4)
s/(r - 6c^4) = z(r - 6c^4) / (r - 6c^4)
s/(r - 6c^4) = z
\(z = \frac{s}{r - 6c^4}\)
Therefore, solving the equation s = zr - 6zc^4 for z would give you: \(z = \frac{s}{r - 6c^4}\).
Learn more about equation on:
https://brainly.com/question/25678139
#SPJ1
the national average.
If the national average for a gallon of gas is $2.59, how much
should you expect to pay for gas in Philadelphia versus
Cleveland?
A. $3.03 / $2.75
B. $1.95 / $2.59
C. $2.34 / $2.75
D. $2.75 / $3.24
Philadelphia Clevland
Overall 92 78
Food 106 106
Housing 56 27
Utilities 130 126
Transportation 117 106
Health 102 113
The correct answer is D. $2.75 / $3.24
To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:
Philadelphia: $117
Cleveland: $106
To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:
Expected Gas Price = National Average * (Transportation Expense / National Average)
National Average for gas = $2.59
For Philadelphia:
Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30
For Cleveland:
Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51
Comparing the expected gas prices, we find that:
A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.
C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.
Therefore, the correct answer is:
D. $2.75 / $3.24
for such more question on transportation expenses
https://brainly.com/question/11734493
#SPJ8
A train makes five trips around a loop through five stations-P, Q, R, S, and T, in that order-stopping at exactly three of the stations on each trip. The train must conform to the following conditions: The train stops at any given station on exactly three trips, but not on three consecutive trips. The train stops at any given station at least once in any two consecutive trips. Question 1 Which one of the following could be the list of stations at which the train stops on the first two trips? Choose 1 answer: A.first trip: P, Q, S; second trip: P, Q, R B.first trip: P, Q, T; second trip: Q, R, T C.first trip: Q, R, S; second trip: P, Q, S D.first trip: Q, S, T; second trip: P, R, S E.first trip: R, S, T; second trip: P, R, T
Among the given options, the list of stations at which the train stops on the first two trips that satisfy the given conditions is C. First trip: Q, R, S; Second trip: P, Q, S.
The given problem can be approached using the concept of permutations and combinations. Specifically, it involves analyzing the possible combinations of stations that the train stops at on the first two trips while satisfying the given conditions.
To satisfy the given conditions, we need to ensure that the train stops at exactly three stations on each trip, but not on three consecutive trips. Additionally, every station must be visited at least once in any two consecutive trips.
Let's analyze the options:
Option A: First trip: P, Q, S; Second trip: P, Q, R
In this option, the train stops at stations P and Q on both the first and second trips, which violates the condition of not stopping on three consecutive trips.
Option B: First trip: P, Q, T; Second trip: Q, R, T
In this option, the train stops at stations Q and T on both the first and second trips, which violates the condition of not stopping at three consecutive trips.
Option C: First trip: Q, R, S; Second trip: P, Q, S
This option satisfies all the given conditions. The train stops at three different stations on each trip, and no station is visited in three consecutive trips. Additionally, every station is visited at least once in any two consecutive trips.
Option D: First trip: Q, S, T; Second trip: P, R, S
In this option, the train stops at stations S and T on both the first and second trips, which violates the condition of not stopping at three consecutive trips.
Option E: First trip: R, S, T; Second trip: P, R, T
In this option, the train stops at stations R and T on both the first and second trips, which violates the condition of not stopping at three consecutive trips.
Therefore, option C (First trip: Q, R, S; Second trip: P, Q, S) is the correct answer that satisfies all the given conditions.
Learn more about permutations here:
https://brainly.com/question/32644071
#SPJ11
Which is 1,250,000,000 written in scientific notation?
A 12.5 1010
B 12.5 x 10
© 1.25 * 109
D 1.25 x 108
answer is c
Step-by-step explanation:
u can use calculator to check the answer
answer is c
Step-by-step explanation:
u can use calculator to check the answer
A new player joins the team and raises the mean to 22
A. The mean age of the team rounded to 1 decimal place is 20.9 years
B. The age of the new player is 23.1 years
A. How do i determine the mean age of the team?The mean age of the team can be obtained as illustrated below:
Age (x) = 19, 20, 21, 22, 23, Frequency (f) = 2, 3, 1, 4, 1Mean age =?Mean age = ∑fx / ∑f
Mean age = [(19 × 2) + (20 × 3) + (21 × 1) + (22 × 4) + (23 × 1)] / (2 + 3 + 1 + 4 + 1)
Mean age = 230 / 11
Mean age = 20.9 years
Thus, the mean age of the team is 20.9 years
B. How do i determine the age of the new player?The age of the new player can be obtained as follow:
Mean of previous player = 20.9 yearsNew mean = 22Age of new player =?New mean = (mean of previous + age of new player) / 2
22 = (20.9 + age of new player) / 2
Cross multiply
22 × 2 = 20.9 + age of new player
44 = 20.9 + age of new player
Collect like terms
44 - 20.9 = Age of new player
Age of new player = 23.1 years
Learn more about statistics:
https://brainly.com/question/17160638
#SPJ1
Complete question:
Pleas attached photo
Pls Pls help asap! no f links pls n will give brainliest n points?
How could you show
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Consider ΔKML and ΔRTL, we get
RL/KL =15/(15+9)
= 15/24
= 5/8
TL/ML =12.5/(12.5+7.5)
= 12.5/20
= 5/8
Here, RL/KL=TL/ML
Here, ∠KLM≅∠RLT
By SAS similarity, ΔKML and ΔRTL are similar triangles
So, ∠KMT≅∠RTL
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ1
Answer:
a
Step-by-step explanation:
got it right in edmentum
helpppp please i need to turn this in asap
Fill in the following contingency table and find the number of students who both go to the beach AND go to the mountains. StudentsgotothebeachdonotgotothebeachTotalgotothemountains48donotgotothemountains21Total3695
According to the table, the number of students who both go to the beach and go to the mountains is 48.
To fill in the contingency table and find the number of students who both go to the beach and go to the mountains, we can use the provided information. Let's fill in the table as follows:
| Go to the Beach | Do Not Go to the Beach | Total
Go to the Mountains | 48 | _________ | ________
Do Not Go to the Mountains | ________ | 21 | ________
Total | ________ | _________ | 3695
To find the missing values, we can use the fact that the total number of students who go to the mountains is 3695, and the total number of students who go to the beach is 3695 as well.
Since the total number of students is 3695, the missing value in the first row, second column (Do Not Go to the Beach) is 3695 - 48 = 3647.
Similarly, the missing value in the second row, first column (Do Not Go to the Mountains) is 3695 - 21 = 3674. Now let's fill in the table:
| Go to the Beach | Do Not Go to the Beach | Total
Go to the Mountains | 48 | 3647 | ________
Do Not Go to the Mountains | 3674 | 21 | ________
Total | ________ | _________ | 3695
To find the total number of students who both go to the beach and go to the mountains, we need to fill in the missing value in the intersection of the first row and first column. This value can be calculated by subtracting the total number of students who go only to the mountains (48) from the total number of students who go to the mountains (3695).
Thus, the missing value is 3695 - 48 = 3647. Now let's fill in the table:
| Go to the Beach | Do Not Go to the Beach | Total
Go to the Mountains | 48 | 3647 | ________
Do Not Go to the Mountains | 3674 | 21 | ________
Total | ________ | _________ | 3695
The final filled contingency table is as follows:
| Go to the Beach | Do Not Go to the Beach | Total
Go to the Mountains | 48 | 3647 | 3695
Do Not Go to the Mountains | 3674 | 21 | 3695
Total | 3722 | 3668 | 3695
To learn more about contingency click here: https://brainly.com/question/30717984
#SPJ11
The number of students who both go to the beach and go to the mountains is 27. This was found by determining the total number of students and then subtracting those who participate in one activity but not the other.
Explanation:If we consider total students to be 95, then the total number of students who don't go to the beach is 95 minus the number who go to the beach (36), which is 59. Again, if the total number of students who go to the mountains is 48, then taking away those who also go to the beach (which we're trying to find), we reach the total number who go to mountains only. So this is represented as: 48 minus (students who go both to the beach and the mountains). The same logic is applicable to those who don't go to the mountains.
Therefore, you can set up the equations as follows:
48 - (students who go both to beach and mountains) = 21
Solving this equation, we find that the number of students who go both to the beach and the mountains is 27.
Learn more about Contingency Tables here:https://brainly.com/question/32669885
#SPJ12
state the domain and range for the following relation. then determine whether the relation represents a function.
The domain and range need to be determined for a given relation, and it will be determined whether the relation represents a function.
To determine the domain and range of a relation, we need to examine the set of inputs (domain) and the set of corresponding outputs (range). The domain is the set of all possible input values for which the relation is defined, while the range is the set of all possible output values that result from the given inputs.
In the context of determining whether the relation represents a function, we need to ensure that each input value from the domain corresponds to a unique output value. If there is any input value that produces multiple output values, the relation is not a function.
To determine the domain, we examine the set of all valid input values. This can be based on restrictions or limitations stated in the problem or the nature of the relation itself. The range, on the other hand, is determined by observing the set of all output values that result from the given inputs.
Once the domain and range are determined, we can check if each input in the domain corresponds to a unique output in the range. If every input has a unique output, the relation represents a function. If there is any input that maps to multiple outputs, the relation does not represent a function.
To know more about function refer here:
https://brainly.com/question/17440903
#SPJ11
A basket contains six apples and five peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit.
The first piece of fruit is an apple and the second piece is a peach. What’s the probability?
Answer:
6/11 * 5/10
3/11 or 0.27 repeating
Step-by-step explanation:
a 4cm by 6cm rectangle sits inside a circle with a radius of 11 cm what is the shaded region
Answer:
355.94 cm2
Step-by-step explanation:
if it is the area of the shaded part, you have to find the area of rectangle and the area of the circle, then subtract the rectangle's area from the circle's.
area of circle = 3.14( i used this π because the radius is not divisible by 7) × 11 × 11 = 379.94.
area of rectangle = 6 × 4 = 24cm
379.94 - 24.00 = 355.94cm2.
By first making the powers of 10 the same,
work out (3 × 106) + (4 × 107)
Give your answer in standard index form.
The value of the powers is 40 × 10⁷ + 3 × 10⁷ = 43 × 10⁷.
What is standard index?Standard index form, commonly referred to as scientific notation, is a way to express integers as the product of a power of 10 and a decimal number between 1 and 10. The decimal point must be moved a certain number of places in order to return to the original value, which is represented by the power of 10. In mathematics, the standard index form is used to express extremely big or extremely small integers in a clear and understandable manner. In fields like astronomy, physics, and chemistry where extremely large or extremely tiny numbers frequently occur, it is frequently utilised in scientific and technical computations.
The given expression is (3 × 10⁶) + (4 × 10⁷).
To add the following we make the powers same by multiplying 10:
(3 × 10⁶) (10) = 3 × 10⁷
(4 × 10⁷) (10) = 40 × 10⁷
Thus, the value of the powers is 40 × 10⁷ + 3 × 10⁷ = 43 × 10⁷.
Learn more about standard index here:
https://brainly.com/question/30691992
#SPJ1
A dog walking along some train tracks meets a train every 4 minutes and the train catches up the dog every 12 minutes. Find the value of x if the trains leave the endpoint of the route every x minutes.
Trains leave the endpoint of the route every 8 minutes.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given information are,
Time taken by dog to meet the train = 4 minutes,
Time take by train to catch the dog = 12 minutes
Let x is the time when train leaves the route,
Since, the train catches up the dog in 12 minutes, and the dog meets the train in 4 min, so the equation,
12 - x = 4
x = 8
Trains leave the endpoint of the route every 8 minutes.
To know more about Equation on:
https://brainly.com/question/187506
#SPJ1
The 2017 balance sheet of Kerber's Tennis Shop, Inc., showed long-term debt of $5 million, and the 2018 balance sheet showed long-term debt of $5.2 million. The 2018 income statement showed an interest expense of $165,000. During 2018, the company had a cash flow to stockholders for the year was $70,000. Suppose you also know that the firm’s net capital spending for 2018 was $1,370,000, and that the firm reduced its net working capital investment by $69,000. What was the firm’s 2018 operating cash flow, or OCF?
Griffin's Goat Farm, Inc., has sales of $686,000, costs of $332,000, depreciation expense of $65,000, interest expense of $48,500, and a tax rate of 24 percent. What is the net income for this firm?
The net income for Griffin's Goat Farm, Inc., was \(\$184,340\).
The operating cash flow (OCF) for Kerber's Tennis Shop, we can use the following formula:
\(OCF = EBIT + Depreciation - Taxes + \triangle Working Capital\)
where EBIT is earnings before interest and taxes.
Calculate EBIT by subtracting interest expense from operating income:
EBIT = Operating Income - Interest Expense
We do not have the information for operating income, but we can use the fact that interest expense was. \(\$165,000\) to calculate EBIT.
EBIT = Interest Expense / (1 - Tax Rate)
= \(\$165,000 / (1 - 0)\)
= \(\$165,000\)
Calculate the change in working capital (Δ Working Capital). We are told that the company reduced its net working capital investment by \(\$69,000\), which means that working capital increased by \(\$69,000\).
Therefore:
\(\triangle Working Capital = \$69,000\)
Now, we can calculate OCF:
OCF = EBIT + Depreciation - Taxes + Δ Working Capital
=\(\$165,000 + 0 - 0 +\ $69,000\)
=\(\$234,000\)
Therefore, the firm’s 2018 operating cash flow (OCF) was \(\$234,000\) .
To calculate the net income for Griffin's Goat Farm, we can use the following formula:
Net Income = EBIT - Interest Expense - Taxes
where EBIT is earnings before interest and taxes. We can calculate EBIT as:
EBIT = Sales - Costs - Depreciation
= \(\$686,000 - \$332,000 - \$65,000\)
=\(\$289,000\)
Next, we need to calculate taxes. We are given a tax rate of 24%, so:
Taxes = Tax Rate x (EBIT - Depreciation)
= \(0.24 \times (\$289,000 - \$65,000)= \$56,160\)
Now, we can calculate net income:
Net Income = EBIT - Interest Expense - Taxes
= \(\$289,000 - \$48,500 - \$56,160= \$184,340\)
For similar questions on Income
https://brainly.com/question/30157678
#SPJ11
giving brainiest :) ^^
Answer:
78
Step-by-step explanation:
I think its 78 because for the top 2 cubes on the top I did one 2cm for one side then there are 8 sides in a cube so I did 2x8=16 and the cube below that is the same so that's also 16 then I did 16x2=32 so the green cubes are 32 and the big blue has 8sides as well each side is equal so 2+5+5+11=23 and there is two of them each next I did 23x2=46cm and finally do 32+46=78cm I hope that the right answer I don't know for sure make sure to check for sure hope this helps.
Which one of the following groups would be unbiased when asked, “What is your favorite kind of pizza?”
Group of answer choices
health & fitness fanatics leaving the gym
guests leaving a gourmet pizza restaurant
kids at the playground
families attending a sporting event
Answer:
kids at playground
children are too young to know calorie count and the health benefits of certain foods. So they would simply choose the one they think tastes best
Does anybody know this?Find the measure of the following arcs.
Answer:
see explanation
Step-by-step explanation:
an arc of a circle is equal to the central angle subtended by the arc
central angle of arc ED = 50° ( vertically opposite angles )
then
arc ED = 50°
the central angle of arc BC = 180° - 40° - 50° = 180° - 90° = 90°
then
arc BC = 90°
the central angle subtended by arc AE = 180° - 50° = 130°
then arc AE = 130°
arc BED = arc BA + arc AE + arc ED = 50° + 130° + 50° = 230°
Estimate.
2.1 + 31.8
Answer:
D=34
Step-by-step explanation:
2.1+31.8= 33.9
Answer:
D
Step-by-step explanation:
None of the other answer make sense.
If you are adding, why would your estimate be lower than the factors?
Need help with this problem please
Answer:
-16
4
9
19
29
Step-by-step explanation:
Whenever one of these questions comes up, just plug in whatever number is in the x column into the x in the problem above. Ex) for 3, you would want to turn 5x+4 into 5(3)+4, which is 19.
Use the figure to decide the type of angle pair that describes ∠5 and ∠2.
alternate exterior angles
same-side interior angles
corresponding angles
alternate interior angles
The type of angle pair that describes ∠5 and ∠2 is B Same-side interior angles.
How to illustrate the information given?It should be noted that same-side interior angles simply means when two lines that are parallel are interested by a transversal line.
It should be noted that the same-side interior angles are supplementary. This implies that they will be equal to 180°.
In this case, the type of angle pair that describes ∠5 and ∠2 is Same-side interior angles.
Learn more about angle on:
brainly.com/question/25716982
#SPJ1
what is the mode of the data set 29,22,19,20,29,23,29,19,31
Answer:
Mean (Average): 21.44444
Median (Middle): 22
Mode (Most Common): 29
Step-by-step explanation:
Calculate an interval for which you can have a high degree of confidence that at least 95% of all UHPC specimens adhered to steel will have work of adhesion values between the limits of the interval. (Round your answers to two decimal places.)
To calculate the interval for a high degree of confidence that at least 95% of all UHPC specimens adhered to steel will have work of adhesion values between the limits of the interval, we need to use a confidence interval formula. Assuming a normal distribution, we can use the formula:
1. Obtain the mean (µ) and standard deviation (σ) of the work of adhesion values from the sample data.
2. Determine the desired confidence level (95% in this case), which corresponds to a Z-score of 1.96 (from a standard normal distribution table).
3. Calculate the standard error (SE) by dividing the standard deviation (σ) by the square root of the sample size (n): SE = σ / √n.
4. Calculate the margin of error (ME) by multiplying the Z-score by the standard error: ME = 1.96 * SE.
5. Find the confidence interval by subtracting and adding the margin of error from the mean: (µ - ME, µ + ME).
Round your answers to two decimal places. This interval provides a 95% confidence that the true work of adhesion values for at least 95% of all UHPC specimens adhered to steel lie between these limits.
Learn more about interval here : brainly.com/question/30486507
#SPJ11
Make up an example to help explain why you must reverse the inequality symbol when you multiply or divide by a negative number.
When multiplying or dividing by a negative number, the inequality symbol must be reversed.
To illustrate why the inequality symbol must be reversed when multiplying or dividing by a negative number, let's consider the following example:
Example: Solve the inequality -2x > 6.
If we divide both sides of the inequality by -2 without reversing the inequality symbol, we would get:
-2x / -2 > 6 / -2
This simplifies to:
x < -3
However, if we check this solution by substituting a value, let's say x = -2, into the original inequality, we get:
-2(-2) > 6
4 > 6
This is not a true statement, which means that x = -2 is not a solution to the original inequality.
Now, let's solve the inequality by reversing the inequality symbol when dividing by -2:
-2x / -2 < 6 / -2
This simplifies to:
x > -3
If we substitute x = -2 into the reversed inequality, we get:
-2 > 6
This is also not a true statement, which means that x = -2 is not a solution to the reversed inequality.
In this example, we can see that when we divide by a negative number and reverse the inequality symbol, the solution changes. This demonstrates the importance of reversing the inequality symbol to maintain the correct direction of the inequality when multiplying or dividing by a negative number.
Learn more about inequality here:
/brainly.com/question/20383699
#SPJ11
You order two tacos and a salad. The salad costs $3.00, and you leave a $2 tip. You pay a total of $8.00. How much does each taco cost?
An architect creates a scale model of a building with a scale of 5 cm =4 m. If the actual building is 32 m tall, how tall is the scale model?
A.8
B.25.6
C.33
D.40
The height of the building on the scale model created by the architect is 40 centimeters long.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
The architect creates a scale model of a building with a scale of,
\(\rm 5 \;cm =4 \; m\)
As, one meter is equal to 100 centimeters. Thus, the scale factor used by the architect for the building is,
\(r=\dfrac{5}{400}\\r=\dfrac{1}{80}\)
Now the actual building is 32 m tall. Let suppose the height of the building on the model is x meters. Thus, the scale factor for this can be given as,
\(r=\dfrac{x}{3200}\)
Now, both the scale factor are of the same model. Therefore,
\(\dfrac{x}{3200}=\dfrac{1}{80}\\x=40\rm cm\)
Hence, the height of the building on the scale model created by the architect is 40 centimeters long.
Learn more about the scale factor here;
https://brainly.com/question/10253650
PLEASE HELP!!!!! ILL MARK BRAINLIEST!!!
Which number line shows the solutions to x 2> 0? ++> -3 -2 -1 0 -3 -2 -1 0 1 ++++) -2 -1 0 1 2 3 4 5 +++) -3 -2 -1 0 12 3 4 5 6 7
Answer:
D
Step-by-step explanation:
1/2x-2>0
+2 +2
2(1/2x)>(2)(2)
x>4
What I have done
Is it right ☝ ?
Yes, what you did is correct.
Sachi wants to fill her three empty containers with more cat food. How much cat food can all three containers hold?
A 1028 in31028 in 3
B 864 in3864 in 3
C 60 in360 in 3
D 144 in3
HELP
100 points
The total capacity of all three containers is 32 oz.
The total capacity of the three containers is determined by multiplying the capacity of a single container by three. To calculate the total capacity of all three containers, one must first determine the capacity of a single container. If each container holds 144 in3, then the total capacity of all three containers is 432 in3 (144 in3 x 3 = 432 in3). To convert this to a larger unit of measurement, such as ounces, one must first convert the cubic inches to cubic feet, then convert the cubic feet to ounces. To convert 432 in3 to cubic feet, divide by (144 in3 x 3 = 432 in3). To convert 0.25 ft³ to ounces, multiply by the conversion factor of 128 (0.25 ft³ x 128 = 32 oz). Therefore, the total capacity of all three containers is 32 oz.
Learn more about total capacity here:
https://brainly.com/question/23076746
#SPJ1
4. this problem is also from ars magna. find two numbers such that the sum of their squares is 100. the square of the larger number is equal to the sum of the product of the larger number and four times the smaller number and eight times the larger number. let x and y be the two numbers such that x
The two numbers that satisfy both conditions are from quadratic equation :x =
1) -10/3, y = ±(10√7)/3
2)x = 10/3, y = ±(10√7)/3.
Let's denote the two numbers as x and y. We are given the following information:
1. The sum of their squares is 100: x^2 + y^2 = 100.
2. The square of the larger number is equal to the sum of the product of the larger number and four times the smaller number and eight times the larger number: y^2 = x(4y + 8x).
To solve this problem, we can start by simplifying the second equation. By expanding the equation, we get:
y^2 = 4xy + 8x^2.
Now, we can substitute this equation into the first equation to eliminatey:
x^2 + (4xy + 8x^2) = 100.
Combining like terms, we have:
9x^2 + 4xy - 100 = 0.
To find the values of x and y that satisfy this equation, we can use various methods such as factoring, completing the square, or the quadratic formula. In this case, let's solve it by factoring.
Factoring the quadratic equation, we get:
(3x + 10)(3x - 10) = 0.
Setting each factor equal to zero, we have two possibilities:
1. 3x + 10 = 0, which gives x = -10/3.
2. 3x - 10 = 0, which gives x = 10/3.
Now that we have the values of x, we can substitute them back into one of the original equations to find the corresponding values of y. Let's use the first equation:
For x = -10/3, we have (-10/3)^2 + y^2 = 100. Solving this equation, we find y = ±(10√7)/3.
For x = 10/3, we have (10/3)^2 + y^2 = 100. Solving this equation, we find y = ±(10√7)/3.
Therefore, the two numbers that satisfy both conditions are:
1. x = -10/3, y = ±(10√7)/3.
2. x = 10/3, y = ±(10√7)/3.
These are the two sets of numbers that meet the given conditions.
for more such question on quadratic equation visit
https://brainly.com/question/1214333
#SPJ8
This equation has one solution. 5(x – 1) 3x = 7(x 1) what is the solution?
Answer:
send the complete question . there are some missing signs .
The volume of a sphere with radius length r is 4r3. What is the volume of a sphere with a radius length of 4?
Answer:
164 cubic units
Step-by-step explanation:
volume of a sphere = (4/3) x (n) x (r^3)
If volume = 4r^3
volume = 4 x (4)^3 = 164 cubic units