Answer:
Step-by-step explanation:
y + 5 = 3x - 18
y = 3x - 23
The solution is A
Answer:
A. y=3x-23
Step-by-step explanation:
We want to get the equation in slope intercept form, or y=mx +b, where m is the slope and b is the y intercept. Basically, we need to get y isolated.
y+5=3(x-6)
First, let’s distribute the 3 on the right side. Multiply each term inside the parentheses by the number outside the parentheses (3).
y+5=3*x + 3*-6
y+5=3x-18
5 is being added onto y. We need to perform the inverse operation to get y by itself. The opposite of addition is subtraction. Subtract 5 from both sides
y+5-5=3x-18-5
y= 3x-18-5
y=3x-23
Therefore, the correct answer is A. y=3x-23
help xxx
23421 x 230 = ? im not allowed to use a calc on this
Answer:
5,386,830
Step-by-step explanation:
AB and CF are parallel find x
Show CLEARLY how you got your answers with reasons
Answer:
x = 152°
Step-by-step explanation:
∠ BDE = ∠ ABD = 76° ( alternate angles )
Since DE = BE then Δ BDE is isosceles with base angles congruent
∠ DBE = ∠ BDE = 76°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, then
x = 76° + 76° = 152°
I need help with this question my answer was 80percent
The correct option is 80%
Explanation:Raul's goal = $5000
Raul's sale = $4000
This week, the percentage of his goal which he has achieved is:
\(\begin{gathered} \frac{4000}{5000}\times100 \\ \\ =\frac{4}{5}\times100=80 \end{gathered}\)Lonnie has saved 80% of the money she needs to buy a new video game if she has saved$36 how much does the video game cost
Answer:
$45
Step-by-step explanation:
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3 (t + 4) =25.5 what’s the answer
Step-by-step explanation:
Given
3 (t + 4 ) = 25.5
t + 4 = 25.5 / 3
t + 4 = 8.5
t = 8.5 - 4
t = 4.5
Hope it helps :)
Step-by-step explanation:
the answer would be t=4.5
Can you guys help me with this i really need it
The correct expression is given as; 5a + 24.99(12). Option B
What is the correct equation?We know that it is normal for us to be able to use an equation to be able to model a function. In this case, we have been told that the monthly payment that has to be made is given as $24.99 each month and this has to be done for twelve months.
In addition to this, there is a cost of $5 that has to be paid for each of the classes that we are taking. We would now need to assume that each of the classes would be represented as a.
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cos(a) = 21/29, a lies in quadrant iv and sin(b) = -2/5
Here, cos(a) = 21/29 and a lies in quadrant IV, and sin(b) = -2/5, for angle 'a' in quadrant IV, cos(a) = 21/29 and sin(a) = -20/29. For angle 'b', sin(b) = -2/5, but we cannot determine the exact value or quadrant for cos(b).
Step:1. Quadrant IV: In this quadrant, cosine values are positive and sine values are negative. Since cos(a) = 21/29 (a positive value), it confirms that 'a' is in quadrant IV.
Step:2. To find sin(a), you can use the Pythagorean identity: sin²(a) + cos²(a) = 1. Plug in the given cosine value:
sin²(a) + (21/29)² = 1
sin²(a) + 441/841 = 1
sin²(a) = 400/841
sin(a) = -20/29 (negative because a is in quadrant IV)
Step:3. For angle 'b', we are given sin(b) = -2/5. Since the sine value is negative, it indicates that 'b' lies in either quadrant III or IV.
Unfortunately, we do not have enough information to determine the exact quadrant for angle 'b'. However, we can find the cosine value of 'b' using the Pythagorean identity:
cos²(b) + sin²(b) = 1
cos²(b) + (-2/5)² = 1
cos²(b) + 4/25 = 1
cos²(b) = 21/25
cos(b) = ±√(21/25)
Without knowing the specific quadrant, we cannot determine if cos(b) is positive or negative.
In conclusion, for angle 'a' in quadrant IV, cos(a) = 21/29 and sin(a) = -20/29. For angle 'b', sin(b) = -2/5, but we cannot determine the exact value or quadrant for cos(b).
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PART G: Let c be the unknown side of the triangle. Use this triangle calculator to solve for c. Under Sides, enter 7 for side a and 9 for side b. Under Angles, enter 74 for angle C. Click Calculate once you have entered the information. What is the length of side c?
Part H
Now try to construct a triangle using a different set of measurements. This time, you’ll enter three angle measurements. Return to the Calculator tab, and click the Clear button to begin a new calculation.
Under Angles, enter 45 for A, 40 for B, and 95 for C. Then click Calculate. What happened? What message did the tool deliver? Explain the message in terms of the properties of a triangle and the given angles.
Part J
Return to the Calculator tab, and click the Clear button to begin a new calculation. This time, you’ll check for valid triangles given two angles and the side between them.
Under Sides, enter 5 for a. Under Angles, enter 30 for B and 50 for C. Then click Calculate. How many triangles can be created from the given conditions?
Part K
Return to the Calculator tab, and click the Clear button to begin a new calculation. This time, you’ll check for valid triangles given three sides of specified length.
Under Sides, enter 6 for a, 7 for b, and 13 for c. Then click Calculate. What happened? What message did the tool deliver? Explain the message in terms of the properties of a triangle and the given side lengths.
please help!
The solutions are given below.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Part A
the dotted line formes the thrid side of the triangle.
part B
The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.
part c
If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.
part D
You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.
part e
The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.
part f
Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters
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John is going to the store. His house is located 3 miles south and 4 miles east from the store, as shown below. What is the shortest distance from his house to the store? Explain
Answer:
5 miles
Step-by-step explanation:
It is a right triangle, with 3 miles down, and 4 miles to the right
the shortest distance would be and southeast line.
Using the Pythagorean theorem, you get:
3^2 + 4^2 = x^2
9 + 16 = x^2
25 = x^2
x = 5
health programs routinely study the number of days that patients stay in hospitals. in one study, a random sample of 12 men had a mean of 7.95 days and a standard deviation of 6.2 days, and a random sample of 19 women had a mean of 7.1 days and a standard deviation of 5.0 days. the sample data will be used to construct a 95 percent confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital. have the conditions been met for inference with a confidence interval?
The conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days.
What is confidence interval ?
A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence.
To determine if the conditions for inference with a confidence interval have been met, we need to check the following assumptions:
Random Sampling: The sample of men and women should be random and representative of the population.Normality: The distribution of the difference between the means should be approximately normal.Independence: The two samples should be independent of each other.Since the sample sizes are greater than 30 for both men and women, we can assume normality based on the Central Limit Theorem.
Also, since the samples are selected independently and randomly, the assumption of independence is met.
Therefore, the conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital.
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James knows that when he walks, he takes about 120
120
steps per minute and that each step is 2.75
2.75
feet long. Which calculation is most reasonable for James to use to find out his walking speed in miles per hour?
Answer:
speed of James is: 3.75 miles/hour.
Step-by-step explanation:
We need to find the speed of James in miles per hour(mi/hr)
we know that 1 mile=5280 feet
James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.
i.e. he takes 7200 steps in 1 hour.
also each step of James=2.75 feet
total distance covered by James in 1 hour=2.75×7200 feet=19800 feet
\(19800feet=\frac{19800}{5280} miles=3.65miles\)
hence speed of James= (distance covered by james in 1 hour)/1 hour
speed of James=3.75 miles/hour.
Thanks!!
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Answer:
We need to find the speed of James in miles per hour(mi/hr)
we know that 1 mile=5280 feet
James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.
i.e. he takes 7200 steps in 1 hour.
also each step of James=2.75 feet
total distance covered by James in 1 hour=2.75×7200 feet=19800 feet
19800feet=\frac{19800}{5280} miles=3.65miles19800feet=
5280
19800
miles=3.65miles
hence speed of James= (distance covered by james in 1 hour)/1 hour
Parker went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 50 grams of sugar and each bottle of juice has 10 grams of sugar. Parker purchased a total of 14 bottles of juice and soda which collectively contain 300 grams of sugar. Graphically solve a system of equations in order to determine the number of bottles of soda purchased,x, and the number of bottles of juice purchased, y.
The number of bottles of soda purchased are 4 and the number of bottles of juice purchased are 10.
Given,Parker went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 50 grams of sugar and each bottle of juice has 10 grams of sugar.
Parker purchased a total of 14 bottles of juice and soda which collectively contain 300 grams of sugar.
we are asked to determine the number of bottles of soda purchased,x, and the number of bottles of juice purchased, y.
So, the total number of bottles:x+y=14
x=14-y ...eq(1)
As, Each bottle of soda has 50 grams of sugar and each bottle of juice has 10 grams of sugar.
50x+10y=300
Substituting the value of x from eq(1)
⇒ 50(14-y) + 10y = 300
⇒ 700 - 50y + 10y = 300
⇒ -40y = 300 - 700
⇒ -40y =-400
y = 400/40
y = 10
The number of juice bottles = 10.
Now, to get the number of bottle of soda by substituting the value of y in equation (1):
x = 14-y
x = 14 - 10
x = 4
The number of soda bottles = 4.
Therefore, the number of bottles of soda purchased are 4 and the number of bottles of juice purchased are 10.
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does a major league baseball team's record during spring training indicate how the team will play during the regular season? over a six-year period, the correlation coefficient between a team's winning percentage in spring training and its winning percentage in the regular season is . shown are the winning percentages for the american league teams during a season.
According to the given statement While spring training records can provide some insight, they should not be the sole basis for predicting a team's success during the regular season.
There is a correlation between a major league baseball team's record during spring training and its performance during the regular season. Over a six-year period, the correlation coefficient between a team's winning percentage in spring training and its winning percentage in the regular season is .
However, it's important to note that this correlation does not imply causation. While a strong performance in spring training may suggest a team's potential success, it does not guarantee it. Factors such as injuries, roster changes, and overall team strategy can also significantly impact a team's performance during the regular season.
Therefore, while spring training records can provide some insight, they should not be the sole basis for predicting a team's success during the regular season.
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At a parade 1/4 of the people have red hair, 1/6 of them have brown hair the rest of the people have black hair. What fraction of the people have black hair
A procession typically has one-fourth of the participants with red hair, one-sixth with brown hair, and the remaining participants with black hair. 7/12 of the population has black hair.
We are given that 1/4 of the people have red hair and 1/6 of them have brown hair.
Let's add these fractions together to find the fraction of people who have either red or brown hair:
\(\\\frac{1}{4} + \frac{1}{6}\\ =\frac{3+2}{12} \\ =\frac{5}{12}\)
This means that 5/12 of the people have either red or brown hair.
Since the remaining people must have black hair, we can subtract this fraction from 1 to find the fraction of people who have black hair:
1 - 5/12
=12-5/12
= 7/12
Therefore, the fraction of people who have black hair is 7/12.
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Write an equation of the perpendicular bisector of the segment with endpoints M(-3,4) and N(9,8).
Answer:
y= -3+15please mark in brain listFill in the missing numbers to complete the linear equation that gives the rules for this tablex: 4, 5, 6, 7y: 56, 70, 84, 98y = ?x + ?
the two points are
A(4,56) and B(5,70)
so, the linear equation is
\(y-70=\frac{70-56}{5-4}(x-5)\)\(\begin{gathered} y-70=\frac{14}{1}(x-5)_{} \\ y-70=14x-70 \end{gathered}\)\(y=14x\)thus, the equation is
y = 14x + 0
so we can put 14 in first place and 0 in second
What is 13 and 3/5 minus 3 over 3?
Answer:
I think it is 14 1/2
Step-by-step explanation:
........ sry if wrong
What is 15/45 in it's lowest term? Can someone help me please?
Answer:
Answer is 1/3
Step-by-step explanation:
If you divide the numerator and denominator by five you get 3/9
3/9 can be reduced if you divide the numerator and denominator by 3, then your answer is 1/3 (since 3 goes into 3 once, and 3 goes into 9 three times.)
Cindy is 6 years older than half her
mother's age. Cindy's mom is 70 years old.
How old is Cindy?
Answer:
cindy is 51
Step-by-step explanation:
70 divided by 2 is 45
45+ 6 is 51
Kiran is going to invest in an account paying an interest rate of 5.3% compounded daily. How much would Kiran need to invest, to the nearest dollar, for the value of the account to reach $138,000 in 12 years?
Answer:
Step-by-step explanation:
Answer = 73,061
a pulley on a dock is 5 feet above the water level. a rope on the pulley is attached to a boat in the water. the rope is being pulled in at a rate of 3 ft/sec. find the rate of change of the angle of elevation, which is the angle formed by the rope attached to the boat and the horizon, when the boat is 12 feet from the dock. please give an exact simplified answer.
The rate of change of the angle of elevation is -2π/3 radians/second.
We can use the tangent ratio to solve this problem. Since the rope is attached to the boat, we can draw a right triangle with the rope as the hypotenuse. The angle of elevation is the angle formed by the rope and the horizon.
The pulley is 5 feet above the water level, so the length of the opposite side (the side adjacent to the angle) is 5 feet. The length of the hypotenuse is 12 feet, since the boat is 12 feet from the dock.
Using the tangent ratio, we can calculate the angle of elevation:
tan(θ) = opp/hyp = 5/12
θ = arctan(5/12) = 0.927 rad
Now, since the rope is being pulled in at 3 ft/sec, the length of the hypotenuse is decreasing at a rate of 3 ft/sec. Therefore, the rate of change of the angle of elevation is:
rate of change of θ = -(3 ft/sec) / (12 ft) = -2π/3 radians/second
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The length of each side of an equilateral triangle is 4 cm longer than the length of each side of a square. If the perimeter of these two shapes is the same, find the area of the square.
The area of the square is 144 \(cm^{2}\).
Let x be the side of the square. Then the length of the triangle is (x+4). Perimeter is the length of all sides of a geometric figure combined. For an equilateral triangle, it's equal to thrice the length of one side. For a square, it's four times the length of one side. The Perimeter of the Triangle is 3(x+4) & the Perimeter of the square is 4x.
We know, both these perimeters are equal. Hence,
4x = 3(x+4)
To further simplify the above equation.
4x = 3x + 12
x = 12
Hence, the length of one side of the square is 12 cm. The area of the square can be calculated as follows:
Area = \((side)^{2}\)
Area = 12 * 12
Area = 144 \(cm^{2}\)
Hence, the Area of the Square is 144 \(cm^{2}\)
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Please help me ASAP!! And please don’t just answer randomly for points..thanks
Answer:
46
Step-by-step explanation:
3x3=9
5x7=35
9+35=46
Answer:
44 inches
Step-by-step explanation:
Cut off the pertruding bit of the shape
3inches × 3 inches = 9 inches
5 inches × 7 inches = 35 inches
9 inches + 35 inches = 44 inches
Find the measure of the missing arc (dont worry about the degree symbol)
The formula to calculate the missing arc is,
\(m\angle T=\frac{1}{2}\times m\angle arcTS\)where,
\(m\angle arcTS=146^0\)Therefore,
\(\begin{gathered} m\angle T=\frac{1}{2}\times146^0=73^0 \\ \therefore m\angle T=73^0 \end{gathered}\)Hence, the answer is
\(\begin{equation*} m\angle T=73^0 \end{equation*}\)Which equation is parallel to x-y=3 passes through (2,-4)
The equation of the line parallel to x - y = 3 and passes through pint (2,-4) is y = x - 6.
What is the equation of line that passes through the given point and parallel to the given equation?The equation of line is expressed as;
y = mx + b
The point-slope formula is expressed as;
y - y₁ = m( x - x₁ )
Where m is slope and b is the y-intercept.
Given the data in the question;
Equation: x - y = 3Point: (2,-4)
x = 2y = -4First, reorder the given equation in slope-intercept form and determine the slope.
x - y = 3
x = 3 + y
3 + y = x
y = x - 3
Hence,
The slope m = 1
To find the line parallel to the equation, the slope must be equal.
Find the line using point-slope formula.
y - y₁ = m( x - x₁ )
Plug in slope m = 1 and point: (2,-4)
y - ( -4 ) = (1)( x - 2 )
Simplify and convert to slope intercept form.
y + 4 = x - 2
y = x - 2 - 4
y = x - 6
Therefore, the equation of line is y = x - 6.
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Find the volume of this square based pyramid. 5 cm 5 cm 5 cm. Round to the nearest tenth.
V=?cm3
Answer:
41.666 cm³ or 41.7 cm³ rounded to the nearest tenth.
Step-by-step explanation:
Volume of a square pyramid = base length² × height ÷ 3
25 × 5/3 = 41. 666
Have a great day:)
Answer:
41.7
Step-by-step explanation:
It says to ROUND which will get you 41.7
3 chairs and 4 tables cost rs 7540. if the price of a chair is 220 find the price of table?
ans - 7120
Answer:
The price of a table is rs1720
Step-by-step explanation:
Let C and T be the individual prices of the tables and chairs.
We know that 3C + 4T = rs7540
We are then told that C = rs220, so we can enter that into the equation to find T:
3C + 4T = rs7540
3(220) + 4T = rs7540 [for C = rs220]
660 + 4T = 7540
4T = rs6880
T = rs1720
Check:
Do 3 chairs at 220 each and 4 tables at 1720 each add to a total of 7540?
Chairs: rs660
Tables: rs6880
Total = rs7540 YES
malik's new game, marble zoom, came with a big bag of 200 assorted marbles. he wants to see what the marbles look like, so he randomly picks one from the bag, records its appearance, and then puts it back in. he does this 25 times and gets 6 ribbon swirl, 9 solid, 4 frosted, and 6 clear marbles. based on the data, what is the probability of choosing a frosted marble?
The probability of choosing a frosted marble based on the given data is 0.16
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event (i.e., an event that will never occur) and 1 represents a certain event (i.e., an event that will always occur)
The probability of choosing a frosted marble can be calculated by dividing the number of frosted marbles by the total number of marbles
P(frosted) = number of frosted marbles / total number of marbles
In this case, Malik randomly chose 25 marbles from the bag, so the total number of marbles is 25. He recorded 4 frosted marbles, so
P(frosted) = 4 / 25
Simplifying, we get
P(frosted) = 0.16
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a manufacturer conducted a survey to determine how many people buy products p and q. what fraction of the people surveyed said that they buy neither product p nor product q ?
The fraction of the people surveyed that said that they buy neither product p nor product q is 1/6.
It is given to us that -
A survey is conducted with the number of people buying products p and q
We have to find out the fraction of the people surveyed said that they buy neither product p nor product q.
From the given information, the total number of products can be represented as -
[Total products bought] = [p products bought] + [q products bought] - [both p and q bought] + [neither p and q bought] ---- (1)
We have to find out -
[neither p and q bought]/[Total products bought]
Let us assume that the total products bought = 6
It is known that 1/3 of the people surveyed said that they buy product p but not product q.
=> [p products bought] - [both p and q bought] = 1/3 * 6
=> [p products bought] - [both p and q bought] = 2 ------ (2)
From equation (1), we can say that -
[Total products bought] = [p products bought] + [q products bought] - [both p and q bought] + [neither p and q bought]
=> 6 = ([p products bought] - [both p and q bought]) + [q products bought] + [neither p and q bought]
From equation (2), we can write the above equation as -
=> 6 = 2 + [q products bought] + [neither p and q bought]
=> [q products bought] + [neither p and q bought] = 4 ------ (3)
Again, it is also known that 1/2 of the people surveyed said that they buy product q.
=> [q products bought] = 1/2 *6
=> [q products bought] = 3 ---- (4)
From equation (3) and equation (4), we can say that -
[q products bought] + [neither p and q bought] = 4
=> 3 + [neither p and q bought] = 4
=> [neither p and q bought] = 1 ------ (5)
From equation (5) and the total number of products bought, we can say that -
[neither p and q bought]/[Total products bought] = 1/6
(Since, the total number of products bought = 6)
Therefore, the fraction of the people surveyed that said that they buy neither product p nor product q is 1/6.
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. Which expression models the following
situation: "the cost of 12 tickets to the chorus
concert, and a donation of $20"