Answer:
a = -4
Step-by-step explanation:
(a + 2)/2 = - 1
a+2 = -1 * 2
a = - 2 - 2
a = -4
Answer:
-2.5
Step-by-step explanation:
soo your objective is to make a alone
first remove the denominator
a+2 / 2 = -1
a + 2 = -1/2
now minus 2 to both sides
a = -1/2 - 2
a = -2 1/2
Find the interquartile range (IQR) of the data in the dot plot below. ms orlando
the volume of a cube is 729ft^3. if the dimension are divided in thirds , what is the new volume? A. 27ft^3 B. 2ft^3 C. 8ft^3 D. 16ft^3
Answer:
A. 27 ft^3
Step-by-step explanation:
cube root of 729 is
9
1/3 of 9 is
3
volume of a cube with an edge of 3 is
3^3 =
27
help________________
Answer:
302cm³
Step-by-step explanation:
The formula for the volume of a hemisphere is [tex]\frac{\frac{4}{3} \pi r^{3}} {2}[/tex] (volume of a sphere over 2)
Plugging in 4 for r we get the answer of [tex]\frac{256}{6}\pi[/tex]
Next we have to find the height of cone. We can get this by subtracting the radius of the hemisphere from the height of the solid. (14-4=10)
We can now find the volume of the cone using the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]
Plugging in 4 for r and 10 for h we get the answer [tex]53 \frac{1}{3} \pi[/tex]
Now we can add our 2 volumes to get the volume of the solid which is 302 in decimal form (3 significant figures)
That is the answer
- Kan Academy Advance
What is a fraction that is equal to 5?
Answer:
5/1 or 10/2
5/1 = 5
10/2 = 5
Write in the missing numbers.
ordering intergers
Based on the definition of integers, ordering them would depend on if they are negative, positive, or have a zero value.
How are integers ordered?Integers are whole numbers such as 1, 15, and 55. There are no decimals and they do not come in the form of fractions.
Integers can be negative or positive. Positive integers are always higher than negative integers. For instance, 1 is more than -500,000.
If both integers are negative, the larger looking number is considered smaller. For instance, -5 is more than -55. For positive integers, this is the reverse with larger looking numbers being larger.
An example of the correct order of intergers based on this dataset (1, 52, -800, 86, 5, and -4) is:
= -800, -4, 1, 5, 52, 86
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The following scatter plot represents a company's sales on a certain product based on its price.
What does −4.8 represent in this linear model?
Pls help asap
Using linear function concepts, it is found that representation of the value of -4.8 is given by:
It means that there are 4.8 thousand less sales for every dollar the price is increased.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the model for the number of sales(in thousands), with the price at x dollars, is given by:
f(x) = -4.8x + 121.02.
The slope is of -4.8, which means that when x increases by 1, y decreases by 4.8 thousand, hence the correct option is given by:
It means that there are 4.8 thousand less sales for every dollar the price is increased.
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Convert the rectangular coordinates (–6, 6) to polar coordinates.
Answer:
6 sqrt 2 , 3pi / 4
Step-by-step explanation:
Find magnitude sqrt ( (-6)^2 + 6^2 ) = sqrt (72) = 6 sqrt 2
Then the since the x and y are = magnitude and quadrant II
it is 3 pi/4
6 sqrt (2) , 3pi/ 4
Через какую из данных точек проходит график функции y=6/x?
А) (3;3) Б) (2;3) В) (2;6) Г) (6;0)
Answer:
Б) (2,3)
Step-by-step explanation:
Заметь [tex]y=\frac{6}{x}\rightarrow 3=\frac{6}{2}[/tex]. Поскольку это утверждение верно, то ваш ответ Б) (2,3).
please helpp
2. A line goes through the points {8, 9} and {-2. 4}.
(a) What is the slope of the line? Show all steps of work for full credit. (2 pts)
(b) Write the equation of the line in point-slope form. Show your work (state the point and slope you are using). (2 pts)
POINT (Ordered Pair): ¬¬¬_______________
SLOPE:_______________
EQUATION:____________________________
(c) Write the equation of the line in slope-intercept form. Show all steps of work for full credit. (2 pts)
Answer:
a)
[tex] \frac{2}{5} [/tex]
b)
Step-by-step explanation:
slope formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{4 - 9}{ - 2 - 8} [/tex]
=
[tex] \frac{2}{5} [/tex]
b) using point (-2,4)
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - 4 = \frac{2}{5} (x - ( - 2)[/tex]
Now distribute
[tex]y - 4 = \frac{2}{5} x + \frac{4}{5} [/tex]
add 4 to each side
[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]
can use the other point given if you want
Father brought a carton of fruits. Total fruits in it are 150. 15 percent of them are rotten. Find the number of fresh mangoes
Answer: 127
Step-by-step explanation:
150 fruits times 15% = 22.5 rotten fruits
150 total -22.5 rotten=127.5 fres fruits
You can't have half a fruit so I chose to round down to 127
The diameter of a music CD is 12 centimeters. Find the circumference of a CD to the nearest tenth
tim has 4 quarters and 5 pennies. how many cents does tim have?
Answer: $1.05
Step-by-step explanation:
quarters= 25 cents
4 x 25=100 cents
pennies=1 cent
5 x 1 = 5 cents
100+5=$1.05 or 105 cents
11.
30 cm
30 cm
26 cm
Find the area
Answer:
30 x 30 x 26 = 23,400 area= 23,400
Step-by-step explanation: hope it helps
Answer:
i think its 780 cm^2 IF THE 11 IS NOT APART OF THE PROBLEM
Step-by-step explanation:
sorry caps
Find the volume of the trapezoidal prism
Answer:
228 in³
Step-by-step explanation:
Volume of a trapezoidal prism
V = Area x heightFinding Base Area (on the side here)
A = 1/2 x (a + b) x hA = 1/2 x (12 + 7) x 6A = 3 x 19A = 57 in²Volume
V = A x hV = 57 x 4V = 228 in³
The triangles shown below must be congruent.
true...
cus their angles are same... if you rotate the second triangle once to the left side
hope it helps...!!!
please help!!!
Find an equation for this graph.
An auditorium has a seating capacity of 1500. For an upcoming event community event theater play, tickets cost $4 for adults and $2 for children. At last years play, twice as many children attended as did adults. If the attendance at this year's play has the same ratio, what expression would represent the best estimate of the total amount of money from ticket sales when the auditorium is filled to capacity ?
Answer:
from the question, the expression for the total amount of money from tickets sales will be T=4 × the number of children
Show work please!!!!! HELPPPP
Amanda invited 5 friends over for a sleepover. They decided to bake cupcakes. By the end of the night they had baked 6 dozen cupcakes. If the girls planned to use a third of the cupcakes for a bake sale and wanted to split the rest equally, how many would each girl receive?
Answer:
8
Step-by-step explanation:
After saving 1/3 of 6 dozen for the bake sale, the girls had 2/3 of 6 dozen left to split between them. Each of the 6 girls would receive 2/3 of 1 dozen, or 12×2/3 = 8 cupcakes.
Solve the equation 2(3x-2)=(12x+4)
Answer:
x = -4/3 or -1.3333333....... (infinite)
Step-by-step explanation:
6x-4=(12x+4)
6x-4+4=12x+4+4
6x = 12x + 4 + 4
6 = 12x + 8
6x - 12x = 12x + 8 - 12x
-6 = 12x + 8 - 12x
-6x = 8
-6x/6 = 8/-6
x = 8/-6
x = -4/3
Answer:
[tex]\sf x = -\dfrac{4}{3}[/tex]
Explanation:
Given Expression:
2(3x-2) = (12x+4)Remove Parenthesis:
2(3x) - 2(2) = 12x + 4Multiply Integers:
6x - 4 = 12x + 4Exchange Sides:
12x - 6x = -4 - 4Simplify:
6x = -8Divide Both Sides by 6:
x = -8/6 = -4/38. People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor?
The probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
What is the probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
People with type O-negative blood are known as the universal donors, which means any patient can receive a transfusion of O⁻ blood from the donors.
Only 7.2% of the population of America has O-negative blood group. Thus, the probability of this population to donate blood is,
[tex]P=\dfrac{7.2}{100}\\P=0.072[/tex]
The probability of population to be not O-negative,
[tex]P^{-1}=1-0.072\\P^{-1}=0.928[/tex]
The 10 people appear at random to give blood. The probability of at least 1 of them is a universal donor is,
[tex]P{\text { at least 1 }}=1-(0.928)^{10}\\P{\text { at least 1 }}=0.526[/tex]
Thus, the probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
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Please help its a math problem please see image attached
Answer:
(-∞, ∞)
Step-by-step explanation:
Solving :
Lowest x-value is -22 options have the lowest value as 0Hence, the correct option is : (-∞, ∞)The area of the triangle below is 15 square centimeters. What is the length of the
base? Express your answer as a fraction in simplest form.
Answer:
5/8
Step-by-step explanation:
Area for a triangle
A=1/2bh
15/32=3/4h
5/8 = h
Will mark brainlist to whoever answers first, full explanation please
Reflection- It flips the image over a line to create a mirror image
Rotation - It spins a figure around a point
Translation- It slides the figure in a different direction
Dilation- It enlarges or reduces a figure
Koda is making birdhouses for a park.
The instructions tell him how many of each wooden shape is needed for one birdhouse.
Complete each statement to adjust the number of shapes for each new situation if he follows the given instructions.
Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,
What is regular Pentagon?Regular Pentagon is the closed shaped polygon which has 5 sides equal in measure and 5 interior angles equal in measure.
Koda is making birdhouses for a park. For one birdhouse she required 2 trapezoids, 1 square 2 triangles and 4 rectangles.
For the 8 birdhouse, the number of trapezoids she need is,
Trapezoids=2 x 8
Trapezoids=16
For the 3 birdhouse, the number of rectangle she need is,
Rectangle =4 x 3
Rectangle=12
The number of birdhouse when she use 4 square,
Bird house=4 x 1
Bird house=4
Thus, the number of triangle for 4 birdhouse is,
Triangle=2 x 4
Triangle=8
Hence, Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,
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Out of 75 students, 45 are taking Algebra 2 and 32 are taking Chemistry. Sixteen students are taking both Algebra 2 and Chemistry. If a student is chosen at random, what is the probability that the student is taking Algebra 2 but not Chemistry?
(-2,-4)
Oy=(x + 2)² +4
Oy=(x - 2)²-4
Oy=-(x - 2)²-4
Oy=-(x + 2)² - 4
Answer:
[tex]\textsf{D)} \quad y=-(x+2)^2-4[/tex]
Step-by-step explanation:
Vertex form of a quadratic equation:
[tex]y=a(x-h)^2+k[/tex]
where:
[tex](h, k)[/tex] is the vertex[tex]a[/tex] is some constantFrom inspection of the graph, the vertex (turning point) is (-2, -4).
Substituting the vertex into the equation:
[tex]\implies y=a(x-(-2))^2+(-4)[/tex]
[tex]\implies y=a(x+2)^2-4[/tex]
As the parabola opens downwards, [tex]a < 0[/tex]:
[tex]\implies y=-a(x+2)^2-4[/tex]
The curve intercepts the y-axis at (0, -8).
Inputting this into the equation and solving for [tex]a[/tex]:
[tex]\implies -8=-a(0+2)^2-4[/tex]
[tex]\implies -4=-4a[/tex]
[tex]\implies a=1[/tex]
Therefore, the equation of the graph is:
[tex]y=-(x+2)^2-4[/tex]
Answer:
y = -(x + 2)² - 4
Step-by-step explanation:
Vertex form of an equation :
y = a(x - h)² + k
Vertex = (h, k)Substituting the coordinates of the vertex in the equation :
y = (x -(-2))² + (-4)
y = (x + 2)² - 4
y = -(x + 2)² - 4 (as the graph opens downwards)
a vertical meter stick casts a shadow of 0. 4 meters. if a tree casts a shadow of 12 meters at the same time, how tall is the tree?
The height of the tree is 30 times the height of the verticle stick.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
A vertical meter stick casts a shadow of 0. 4 meters.
If a tree casts a shadow of 12 meters at the same time.
Let x be the height of the stick and y be the height of the tree. Then we have
y/x = 12/0.4
y/x = 30
y = 30x
The height of the tree is 30 times the height of the verticle stick.
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help me iiwh this quesrion
Answer:
3 is $8 and 14 is about 18%
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
since the annual rate is 2% and you wait 6 months which is half a year
you'd get 1% of 800 so it'd be 8.
Put the numbers from least to greatest: .3, 2/3, .36, 35%, 1/3
Answer:
0.3, 1/3, 35%, 0.35, 2/3
Step-by-step explanation: