============================================================
Explanation:
It might help to draw it out. See the diagram below.
The base is JK which is 7 units long. I'm picking this as the base because this segment is completely horizontal.
Notice how the base JK spans from x = -3 to x = 4, which we can use subtraction and absolute value to get |J-K| = |-3-4| = 7.
The height is always perpendicular to the base. If the base is JK = 7, then the height is the vertical distance from K (or J) to L. This vertical distance is also 7 units. Subtract the y coordinates and apply absolute value. The base and height aren't always the same number.
Now we can find the area of the triangle
area = base*height/2
area = 7*7/2
area = 49/2
area = 24.5 square units
Chloe baked 6 brownies with nuts on top and 9 brownies without nuts. What is the ratio of the number of brownies without nuts to the total number of brownies?
Answer:
6:9 ÷3
2:3
Step-by-step explanation:
1st write the ratio then simplify it with dividing with the Highest common factor on both sides
A farmer builds a fence to enclose a rectangular pasture. He uses 155 feet of fence. Find the total area of the pasture if it is 45.5 feet long. The length is 6 and the height is 5 what is the width?
Answer: [tex]1456\ ft^2[/tex]
Step-by-step explanation:
Given
Length of whole fence is 155 feet
If the length of rectangle is 45.5 ft
Suppose width is w
Length of whole fence is perimeter which is given by
[tex]\Rightarrow 155=2(45.5+w)\\\Rightarrow 77.5=45.5+w\\\Rightarrow w=32\ ft[/tex]
Area of the rectangle is given by the product of length and width
[tex]\Rightarrow A=lw\\\Rightarrow A=45.5\times 32\\\Rightarrow A=1456\ ft^2[/tex]
Thus, total area of pasture is [tex]1456\ ft^2[/tex]
Which inequality matches the graph?
X, Y graph. X range is negative 10 to 10, and y range is negative 10 to 10. Dotted line on graph has positive slope and runs through negative 3, negative 8 and 1, negative 2 and 9, 10. Above line is shaded.
−2x + 3y > 7
2x + 3y < 7
−3x + 2y > 7
3x − 2y < 7
Given:
The dotted boundary line passes through the points (-3,-8), (1,-2) and (9,10).
Above line is shaded.
To find:
The inequality for the given graph.
Solution:
Consider any two points on the line. Let the two points are (1,-2) and (9,10). So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{10-(-2)}{9-1}(x-1)[/tex]
[tex]y+2=\dfrac{10+2}{8}(x-1)[/tex]
[tex]y+2=\dfrac{12}{8}(x-1)[/tex]
[tex]y+2=\dfrac{3}{2}(x-1)[/tex]
Multiply both sides by 2.
[tex]2(y+2)=3(x-1)[/tex]
[tex]2y+4=3x-3[/tex]
[tex]2y-3x=-3-4[/tex]
[tex]-3x+2y=-7[/tex]
Above line is shaded and the boundary line is a dotted line. So, the sign of inequality must be >.
[tex]-3x+2y>-7[/tex]
This inequality is not in the equations. So, multiply both sides by -1 and change the inequality sign.
[tex](-3x+2y)(-1)<-7(-1)[/tex]
[tex]3x-2y<7[/tex]
Therefore, the correct option is D.
ℎ = 6 + 11 − 22
calculation path
Answer:
[tex]h = 6 + 11 - 22 \\ h = 17 - 22 \\ h = - 5[/tex]
Answer:
-5
Step-by-step explanation:
6+11 = 17↓
17-22 = -5
or
11-22 = -11↓
-11+6 = -5
The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?
Answer:
f=x−32
Step-by-step explanation:
Subtract 3232 from both sides.
Answer:
f=32.2m
Step-by-step explanation:
got it right on edge
help me pls beestar is not fun
Answer:
C. 3/9
Step-by-step explanation:
First, you need to understand what the tree diagram means.
You spin a three-color spinner once. You can get one of three results:
green, blue, or yellow. This is shown in the figure under "1st spin."
Now you spin the spinner a second time. This second spin can also have three outcomes, green, blue, or yellow. For each of the three outcomes of the first spin, you can have 3 different outcomes of the second spin. That is shown under the "2nd spin."
That means there are 9 possible outcomes (numbered from 1 to 9 below):
1. green, green
2. green, blue
3. green, yellow
4. blue, green
5. blue, blue
6. blue, yellow
7. yellow, green
8. yellow, blue
9. yellow, yellow
Each of the 9 outcomes above shows the outcome of the first spin followed by the outcome of the second spin. As you can see there are 9 different outcomes of the two spins.
Now count the number of outcomes that have the same color for the first and second spin. They are shown in bold below.
1. green, green
2. green, blue
3. green, yellow
4. blue, green
5. blue, blue
6. blue, yellow
7. yellow, green
8. yellow, blue
9. yellow, yellow
3 out of 9 outcomes are the same color twice.
Answer: C. 3/9
Z Is An Even Integar Greater Than 30 And Less Than Or Equal To 34.
Answer:
34 is greater than or equal to z which is greater than or equal to 30
guys help me
what is the answer?
Step-by-step explanation:
C. represent the number line for x
where x ix
3x>6x> 6/3x>2hope it helps.stay safe healthy and happy.Please hurry
Consider the function represented by the table.
What is f(0)?
х
0
f(x)
6
7
0
5
O 4
O 5
O 6
4.
7
Answer:
[tex]f(0) = 6[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine [tex]f(0)[/tex]
From the table;
[tex]f(x) = 6[/tex] when [tex]x =0[/tex]
So:
[tex]f(0) = 6[/tex]
plz help ASAP with explanation
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
==========================================================
Explanation:
The volume of a rectangular block is V = L*W*H. So we multiply the length L, width W and H.
For the smaller rectangular block, up to the water level shown, we have a volume of V = L*W*H = 12*8*7 = 672 cubic cm
Since 1000 cm^3 represents 1 liter, this means the tank has 672/1000 = 0.672 liters of water already.
Add on another 1.2 liters of water to get to 1.2+0.672 = 1.872
Therefore, the full tank's capacity is 1.872 liters
This converts to 1.872*1000 = 1872 cm^3
--------------------------------------------
The largest rectangular block has volume 1872 cm^3
We know the length and width (along the bottom) is L = 12 and W = 8 respectively. The height is unknown, but we can solve for it like so
V = L*W*H
L*W*H = V
12*8*H = 1872
96H = 1872
H = 1872/96
H = 19.5
The height of the tank is 19.5 cm
12 times 12 divided by 6
Answer:
24 , 12x12 = 144. , 144/6 =24
Please help me with 1-6 (means) ASAPPPPP
I will give brainiest
Answer:
Geometric mean of [8,18] = 12Geometric mean of [3,7] = 4.58Geometric mean of [5,8] = 6.32Geometric mean of [8,4] = 5.65Geometric mean of [6,3] = 4.24Geometric mean of [2,8] = 4Step-by-step explanation:
Given:
Geometric mean of two digit = √ab
Answer 1;
Geometric mean of [8,18] = √(8)(18)
Geometric mean of [8,18] = √144
Geometric mean of [8,18] = 12
Answer 2;
Geometric mean of [3,7] = √(3)(7)
Geometric mean of [3,7] = √21
Geometric mean of [3,7] = 4.58
Answer 3;
Geometric mean of [5,8] = √(5)(8)
Geometric mean of [5,8] = √40
Geometric mean of [5,8] = 6.32
Answer 4;
Geometric mean of [8,4] = √(8)(4)
Geometric mean of [8,4] = √32
Geometric mean of [8,4] = 5.65
Answer 5;
Geometric mean of [6,3] = √(3)(6)
Geometric mean of [6,3] = √18
Geometric mean of [6,3] = 4.24
Answer 6;
Geometric mean of [2,8] = √(2)(8)
Geometric mean of [2,8] = √16
Geometric mean of [2,8] = 4
Sam rolls a fair dice and flips a fair coin.
What is the probability of obtaining an odd number and a head?
Answer:
The probability that this occurs is 25%, as 3/6 (chance to roll an odd number) multiplied by 1/2 (chance to flip a head) is .25.
Step-by-step explanation:
One number exceeds another number by 6. One fourth of the sum of the two numbers is two less than the smaller.
Find the numbers.
Answer:
7 and 13
Step-by-step explanation:
let the 2 numbers be x and y , x > y , then
x = y + 6 → (1)
[tex]\frac{1}{4}[/tex] (x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )
x + y = 4y - 8 ( subtract 4y from both sides )
x - 3y = - 8 → (2)
Substitute x = y + 6 into (2)
y + 6 - 3y = - 8
- 2y + 6 = - 8 ( subtract 6 from both sides )
- 2y = - 14 ( divide both sides by - 2 )
y = 7
Substitute y = 7 into (1)
x = 7 + 6 = 13
The 2 numbers are 7 and 13
A pipe 11/15 liters of tub in 22/45 minutes what is its flow rate in terms of liters per minute
Answer:
3/2 liters/minute
Step-by-step explanation:
Divide 11/15 liters by 22/45 minutes:
11
------
15
-----------
22
-----
45
This is equivalent to:
11 45
----- * ----- = 3/2 (liters/min)
15 22
The flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).
Given:
Volume of water = 11/15 liters
Time taken = 22/45 minutes
Flow rate = Volume / Time
Flow rate = (11/15) liters / (22/45) minutes
To divide by a fraction, we multiply by its reciprocal:
Flow rate = (11/15) x (45/22) liters/minutes
Simplifying the expression:
Flow rate = 495/330 litres/minutes
The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:
Flow rate = (495/165) / (330/165) litres/minutes
Flow rate = 3/2 liters/minutes
Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.
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What is the domain of the function shown in the table
HELP
someone help me with my algebra homework please
Answer:
(8,2.40)
Step-by-step explanation:
The drama club had a 'Yard Clean Up' day to earn money for their next production. At the end of the day, they had earned a total of $480. How much money did they have after they subtracted the amount they spent for the trash cans and plastic bags? What other information is needed to solve this problem? 1. The number of yards they cleaned up 2. The cost of the trash cans and plastic bags 3. The number of people who were working 4. The cost of cleaning up one yard
Answer:
2). The cost of the trash cans and plastic bags.
Step-by-step explanation:
As per the details provided, the information regarding 'the cost incurred on buying the trash cans, as well as, plastic bags for the cleanup process' is very necessary to find the money left with the drama club from their earnings. The amount they earned within the day is given and the amount left is being asked in the question post the expenditure of the cans and plastic bags for the cleaning process. To subtract the incurred expense from the total earnings, one will need information regarding the cost of those bags and cans. Thus, option 2 is the correct answer.
Type the correct answer in the box. Solve the given equation by completing the square. x^2+ 8x = 38 Fill in the values of a, b, and c to complete the solutions
Answer:
A=2
B=8
C=-38
X=2.8/X=-6.8
Step-by-step explanation:
If p and q are two natural numbers and p^q = 16, then q^pq is ............
[tex]\displaystyle\ \Large\boldsymbol p^q=16 \ \ then \\\\ 1) p=2 \ ; \ q=4 \Longrightarrow q^{pq}=4^{2\cdot 4}= 4^{8}=65536 \\\\\\2) p=4 \ ; \ q=2\Longrightarrow q^{pq}=2^{4\cdot2} =256[/tex]
Complete the table to investigate dilations of
exponential functions.
x
2x
3.2x
23.
1
-2
6
+
2 음
3 을
3
4
3
2
64
1
8
1
2
-1
0
a
b
C
1
1
d
e
f
2
4
12
64
а:
11
b =
C
e =
f=
d
DONE
Answer:
a = 1
b = 3
c = 1
d = 2
e = 6
f = 8
Step-by-step explanation:
found the answer on socratic and brainly
The values of the exponential functions, a, b, c, d, e and f are 1, 3, 1, 2, 6, 8 respectively.
What is meant by exponential function ?Exponential function is defined as a mathematical function which is written in the form f(x) = aˣ where a is a constant called base of the function and x is a variable. It is used to find the exponential growth or decay of a given data.
Here,
(a) Value of x = 0
So, a = 2ˣ = 2⁰
a = 1
(b) Value of x = 0
So, b = 3 * 2ˣ
b = 3 * 1
b = 3
(c) Value of x = 0
c = 2³ˣ = 2⁰
c = 1
(d) Value of x = 1
d = 2ˣ = 2¹
d = 2
(e) Value of x = 1
e = 3 * 2ˣ
e = 3 * 2¹ = 3 * 2
e = 6
(f) Value of x = 1
f = 2³ˣ = 2³
f = 8
Hence,
The values of the exponential functions, a, b, c, d, e and f are 1, 3, 1, 2, 6, 8 respectively.
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What is the slope of the line? What is the y-intercept of the line? y = 5/4x - 3
Answer:
m = 5/4
y intercept = -3
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = \dfrac{5}{4}x -3[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = \dfrac{5}{4}\\[/tex]
[tex]\implies y - intercept= -3 [/tex]
general slope intercept form of a straight line is, y = mx + c
Slope of the line (m) = 5/4,
y-intercept of the line if when x=0 i.e.
y = 5/4x - 3
y = 5/4×0 - 3
y = -3
Answered by GAUTHMATH
In rectangle ABCD, AC = 48 andBO = 5x + 4. What's the value of x?
8.8
4
8
9
What is Write down the equation of the perpendicular line to y=3x+3?
Answer:
[tex]gradient = - \frac{1}{3} \\ { \tt{equation \: is \: y = - \frac{1}{3}x + 3 }}[/tex]
Answer:
The equation of a perpendicular line to
y =( -1/3 )x+b (b is a normal number)
Step-by-step explanation:
1.Use the slope-intercept form to find the slope.
Tap for more steps...
m = 3
2. the perpendicular line to y=3x+3
must have a slope that is the negative reciprocal of the original slope.
thus,
m perpendicular = −1/3
What is
4
7
as a decimal rounded to 3 decimal places?
Answer:
4/7 as a decimal is 0.57142857142857.
What are the center and radius of the circle defined by the equation
x2 + y2 - 6x +4y+4 -0 ?
Answer:
B. center ( -3,2) ; radius 3
Answer:
The choose (A)
central (3,-2) , radius 3
Help me?
185/100 + 50% + 4%=?
Answer:
2.39
Step-by-step explanation:
Convert everything to a decimal.
To do that with a fraction divide the numerator by the denominator.
185 divided by 100 = 1.85
185/100 = 1.85
To convert a percent to a decimal divide the number by 100.
50 divided by 100 = 0.5
50/100 = 0.5
4 divided by 100 = 0.04
4/100 = 0.04
Now add:
1.85 + 0.5 + 0.04 = 2.39
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle.
8
9
Square units
Reset
Next
Answer:
36 spuare units
Step-by-step explanation:
A= 1/2 b*h
b=8
h=9
A=1/2(8*9)
A=1/2(72)
A=36
Pier is a teacher
There are 13 boys and 17 girls in the class
Pier chooses one student at random
Workout the probability the student is a boy
Answer:
I think its 43%
Explanation
math
The probability of Pier choosing a boy is 0.43 or 43%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The total number of students in the class is:
13 boys + 17 girls
= 30 students
The probability of Pier choosing a boy is the number of boys in the class divided by the total number of students:
Probability of choosing a boy.
= number of boys / total number of students
Probability of choosing a boy.
= 13 / 30
Probability of choosing a boy.
= 0.4333 or approximately 0.43
Therefore,
The probability of Pier choosing a boy is 0.43 or 43%.
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Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.
Ice Cubes 4 2 3 5 5 3 1
Juice (milliliters) 177 234 202 140 155 210 265
She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:
y = -29.202x + 293.5.
Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice cubes?
A.
10
B.
89
C.
118
D.
208
Answer:
Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.
Ice Cubes 4 2 3 5 5 3 1
Juice (milliliters) 177 234 202 140 155 210 265
She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:
y = -29.202x + 293.5.
Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice
Step-by-step explanation:
Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.
Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.
Ice Cubes 4 2 3 5 5 3 1
Juice (milliliters) 177 234 202 140 155 210 265
She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:
y = -29.202x + 293.5.
What is the line of best fit?
A line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. Statisticians typically use the least-squares method to arrive at the geometric equation for the line, either through manual calculations or regression analysis software.
Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.
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