Answer:
24
Step-by-step explanation:
Initially you have 25 L of lemonade. When you pour out 1 L of lemonade, you are subtracting 1 from 25. 25-1=24, so you have 24 L of lemonade left to take to school.
Evaluate y = 3x for x = 2.
Answer:
y2
Step-by-step explanation:
this is my answer
i hope it helps you
X-6y-7=0. What is equation in general form.
Answer:
y=1/6x-7/6
Step-by-step explanation:
-6y = -x + 7
y = x/6 - 7/6
This is assuming you mean in standard form.
Also, you may have to write it as 'y=1/6x-7/6'
HW3 Applying the Pythagorean theorem
Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof?
25 inches
41 inches
21 inches
20 inches
40 inches
29 inches
By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.
What is Pythagoras theorem?The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born.
According to the question:
Given, Hypotenuse(h) = 29 inches
Base(b) = 40/2 = 20 inches
Using Pythagoras theorem, we get
h² = b² + p²
⇒ 29² = 20² + p²
⇒ p² = 29² - 20²
⇒ p² = 841 - 400
⇒ p² = 441
⇒ p = √441
⇒ p = 21
∴ The height of the roof of dog house is 21 inches.
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Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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Set R = {a, b, c, f, g, k} and Set V = {a, d, f ,h}. What represents the intersection of these two sets?
Group of answer choices
{a, v}
{a, b, d, h, l}
{a, b, c, d, f, g, h, k}
{a, f}
Answer:
last one
Step-by-step explanation:
since the only letters that both sets have
In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them play baseball. There are 18 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
2 students play both
Step-by-step explanation:n(u)=28
n(b)=7,n(b)=5,n(who play neither sport)=18
HERE,
n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)
28=7+5-n(BnB)+18
28=30-n(BnB)
n(BnB)=30-28
=2 answer
what is the state income tax deducted from gross pay of $864 with state income tax of 4%?
Step-by-step explanation:
$864 of 4%
864/100 x 4
=8.64 x 4
=34.56
Therefore, the total income tax deduction is 34.56.
In a certain video game, there is a mini-game where the main character can choose from a selection of twenty
presents. The presents are wrapped, so the character does not know what is in them. If 7 presents contain money, 3
presents contain gems, 6 presents contain ore, and 4 presents contain fish, what is the probability that the main
character does not choose a present that contains a gem?
Your answer should be an exact decimal value.
The probability of randomly selecting a present that does not contain a gem is
Answer:
There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.
The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.
hope it helps you...
Helpp me pleasee correct answers! (10 points )
Answer: Approximately 30.4 degrees
=========================================================
Work Shown:
324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.
The adjacent side is 550 since it is the leg closest to the angle theta.
We'll use the tangent rule to connect the two sides
tan(angle) = opposite/adjacent
tan(theta) = 322.4/550
theta = arctan(322.4/550)
theta = 30.3780566013696
theta = 30.4
Your teacher didn't provide any rounding instructions, but I rounded to one decimal place since the value 1.6 is to one decimal place.
What segment is congruent to PR?
A. BC
B. AC
C. AB
D. QR
Answer:
B. AC
Step-by-step explanation:
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by $6. The total came to $132. Which equation can you use to find the amount, v, Festive Features normally charges for a vest?
Algebraic equations are equations that have coefficients and unknown variables in them.
The equation that you can use to find the amount "v" Festive features normally charges for a vest is: 12(v - 6) = 132
The current cost per vest was v - $6
Where v = Initial cost of the vest
The total cost of 12 vests after price reduction was:
$132.
Hence, our equation is given as:
$132 = 12(v - $6)
12(v - 6) = 132
$132 = 12v - 72
Add 72 to both sides
$132 + 72 = 12V
204 = 12v
v = 204/12
v = $17
Thus: The amount v, Festive Features normally charges for a vest is $17
Therefore, the equation to find the amount Festive Features normally charges for a vest is 12(v - 6) = 132
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Lydia has four straws of different lengths, and she is trying to form a right triangle. The lengths are 8, 9, 15, and 17 units. Which three lengths should she use? Justify your answer.
The set of 3 lengths that make a right triangle is {8, 15, 17}
Which three lengths should she use?Remember that for any right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longer side.
So if the 3 sides are A, B, and C, such that:
A < B < C
We will have:
A² + B² = C²
Now you only need to try sets of 3 values in that equation, if we use: 8, 15, and 17 we will have:
8² + 15² = 17²
289 = 289
That equationis true, thus, these 3 lengths make a right triangle.
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The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
(-1,1,5)
9
8
7-
6
5
4
3₂
-3-2-1₁
(1,5)
(0,3)
Which exponential function is represented by the graph?
Of(x)=2(3¹)
Of(x)=3(3)
Of(x)=3(2)
O f(x) = 2(2¹)
The value of the equation that defines the function is f(x) = 3(5/3)ˣ
Finding an equation defining the functionFrom the question, we have the following parameters that can be used in our computation:
(0, 3) and (1, 5)
An exponential function is represented s
y = abˣ
Where,
a = y when x = 0
So, we have
y = 3bˣ
Using the other point, we have
3b = 5
This gives
b = 5/3
So, we have
f(x) = 3(5/3)ˣ
Hence, the equation defining f is f(x) = 3(5/3)ˣ
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how do you write a slope intercept form.
through: (-2, -3) slope = -3
Answer:
y = -3x - 9
Step-by-step explanation:
Point-slope equation for line of slope -3 that passes through (-2,-3):
y+3 = -3(x+2)
Rearrange equation to slope-intercept form
y+3 = -3x - 6
y = -3x - 9
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
The length of a rectangle is 1 units more than the width. The area of the rectangle is 72 units. What is the length, in units, of the rectangle?
Graph the equation (x-2)^2+(y+1)^2=9 by following the steps below. Step 1. State the center and radius. Center: Radius:
The center of the circle is at the point (2, -1) and the radius of the circle is 3
The given equation is in standard form for the equation of a circle:
\((x - h)^2\) + \((y - k)^2\) =\(r^2\)
where (h, k) is the center of the circle and r is the radius. By comparing the given equation to the standard form, we can identify the center and radius of the circle:
Center: (2, -1)
Radius: 3
The center of the circle is at the point (2, -1), which means that the circle is centered 2 units to the right of the y-axis and 1 unit below the x-axis. The radius of the circle is 3, which means that the distance from the center to any point on the circle is 3 units.
To graph the circle, we can plot the center point (2, -1) and then draw a circle with a radius of 3 units around it. To do this, we can mark points on the circle that are 3 units away from the center point in all directions, and then connect them to form the circle.
We can also use the standard form of the equation to find additional points on the circle. For example, we can set x = h and solve for y:
\((x - 2)^2\) + \((y + 1)^2\) = 9
\((2 - 2)^2\) + \((y + 1)^2\) = 9
y + 1 = ± √(9 - 0)
y = -1 ± 3
This gives us two additional points on the circle: (2, 2) and (2, -4). We can then plot these points and connect them to the other points on the circle to complete the graph.
In summary, the center of the circle is at the point (2, -1) and the radius of the circle is 3. To graph the circle, we can plot the center point and then draw a circle with a radius of 3 units around it by marking points on the circle that are 3 units away from the center point in all directions, and connecting them to form the circle.
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What is the GCF & LCM of 8 and 44
Answer: 44
Step-by-step explanation:
Divide the following and then check by multiplying.
7 483
Answer:
69
Step-by-step explanation:
Step 1:
483 ÷ 7 = 69
Step 2:
69 × 7 = 483
Answer:
69
Hope This Helps :)
Taking the earth to be the sphere of radius 6378000m, find the circumference of the equator of the earth. Give your answer in km and in terms of pi.
Answer:
12756pi km
Step-by-step explanation:
Circumference = pi * diameter
Diameter = radius * 2
kilometer = meter/1000
6378000*2= 12756000
diamter = 12756000 meters
12756000/1000 = 12756 kilometers
diameter = 12756 kilometers
12756pi km= circumference
What is the meaning of conditionally promoted in school
PLS HALP ASAP WILL GIVE BRAINLIEST FOR BEST ANSWER!!!
Steve set up a business making friendship bracelets. He earned $70 in January. He is projected to earn 120% more in February. How much is Steve projected to make in February? (1 point)
Question 30 options:
1)
$84
2)
$98
3)
$154
4)
$190
Answer:
70+120/100x70(1+100/100)=(100/100+120/100)= 220/100 hope helps you
Step-by-step explanation:
Answer:
154 dollary doooos
Step-by-step explanation:
Is this a false or true statement? Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.
How is regression calculated?Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.
What makes regression math so special?Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.
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2 4/5 divided by 2 1/3
Answer: Exact form: 6/5 Decimal form: 1.2 Mixed Number form: 1 1/5
hope this helps! :)
What the equation of the line that passes through the points (-4, 3) and is parallel to y = ½ x - 7?
The equation of the parallel line is: y = 1/2x + 5.
What is the Equation of Parallel Lines?The slope (m) of parallel lines are the same.
Given the equation, y = 1/2x - 7, the slope (m) is 1/2. Therefore, the slope of the line that passes through (-4, 3) would be m = 1/2.
To find the y-intercept (b), substitute m = 1/2 and (x, y) = (-4, 3) into y = mx + b.
3 = 1/2(-4) + b
3 = -2 + b
3 + 2 = b
5 = b
b = 5
Substitute m = 1/2 and b = 5 into y = mx + b:
y = 1/2x + 5
The equation is: y = 1/2x + 5.
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O Which point has the coordinates (-3.5, 4)? Point W Point Y Point X Point Z
The point which has the coordinates (-3.5, 4) is point Z.
What are Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Given coordinate is (-3.5, 4).
This means that the point is at a distance of 3.5 to the left of the origin and at a distance of 4 units above the origin.
So in order to find the point, mark the point -3.5 in the exact middle of -3 and -4 on the X axis.
Mark the point 4 on the Y axis.
Draw perpendicular lines from both.
Intersecting point is the given point.
Here point Z indicates this.
Hence point Z indicates the coordinates (-3.5, 4).
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Your question lacks the graph showing the points and coordinates. The graph is given below.
A garden has only tomato and cucumber plants. There are 12 tomato plants and 5 cucumber plants.
What is the ratio of the number of cucumber plants to the total number of plants?
Enter your answer by filling in the boxes.
The ratio of cucumber plants to the total number of plants is 5:17.
What is the ratio?We can determine how much of one quantity is in the other by comparing two amounts of the same units and finding the ratio. Ratios can be divided into two groups. One is the part-to-whole ratio, and the other is the part-to-part ratio. The link between two distinct entities or groupings is depicted by the part-to-part ratio.
Given the number of tomato plants = 12
number of cucumber plants = 5
total number of plants = 12 + 5 = 17
and the ratio of the number of cucumber plants to the total number of plants
= (number of cucumber plants)/(total number of plants)
= 5/17
the symbol of the ratio is ":"
= 5:17
Hence the ratio of the condition is 5:17.
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please help me if you can. Sorry if it’s blurry
Step-by-step explanation:
oh, come on, just multiplication.
7.5×10⁴ years is 7.5×10000 =75000 years.
0.005 inches per year for 75000 years means
0.005 × 75000 = 5 × 75 = 375 inches.