find the volume of a pyramid with a square bade, where the perimeter of the bade is 17cm and the height is 15cm
Check the picture below.
so, we know the perimeter of the base is 17, thus
[tex]s + s + s + s = 17\implies 4s=17\implies s=\cfrac{17}{4} ~\hfill \stackrel{\textit{area of the base}}{s^2\implies \left( \cfrac{17}{4} \right)^2} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} h=height\\ B=\textit{base's area}\\[-0.5em] \hrulefill\\ h=15\\ B=\frac{17^2}{4^2} \end{cases}\implies \begin{array}{llll} V=\cfrac{1}{3}(15)\left( \cfrac{17^2}{4^2} \right)\implies V=\cfrac{1445}{16} \\\\\\ V \approx 90.31 \end{array}[/tex]
Help asap 20 points
select the correct answer.
the table gives the number of bacterial cells in a colony over time.
time (hours) cell population
0 125
2 162
4 258
6 374
8 518
10 763
fit an exponential model to the data. based on this model, what is the best prediction for the number of cells in the colony at 16 hours?
a.
1,200
b.
2,300
c.
1,600
d.
2,700
Answer:
2,300
Step-by-step explanation:
Plato
The best prediction for the number of cells in the colony at 16 hours will be 2300. Then the correct option is B.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The table is given below.
Time (hours) Cell population
0 125
2 162
4 258
6 374
8 518
10 763
Then the equations are given as,
125 = a ...1
763 = ab¹⁰ ...2
From equations 1 and 2, then we have
b¹⁰ = 763/125
b² = 6.104
b = 1.2
Then the equation is given as,
y = 125(1.2)ˣ
Then the best prediction for the number of cells in the colony at 16 hours will be
y = 125(1.2)¹⁶
y = 2311.05
y ≈ 2300
The best prediction for the number of cells in the colony at 16 hours will be 2300. Then the correct option is B.
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How do you solve this?
Answer:
120+5x+15+5x+15=180
10x=180-120-15-15
x=30°
Answer: 9^o
Step-by-step explanation:
(all angles in an isoceles triangle adds up to 180 degrees)
5 x + 15 + 120 = 180
5x = 180 - 120 - 15
5 x = 45
x = 9^o
What is the area in square units of the trapezoid
Volleyball players are randomly placed on teams by spinning a spinner with four congruent, colored sections. They are assigned positions on the team by rolling a six-sided die. The team colors are red, black, green, and purple.
Which of the following is true?
A. Spinning the spinner and rolling the die to select teams and positions represent independent events because the outcome of the first event affects the outcome of the second event.
B. The problem does not provide enough information to determine if the two events are independent or dependent.
C. Spinning the spinner and rolling the die to select teams and positions represent independent events because the outcome of the first event does not affect the outcome of the second event.
D. Spinning the spinner and rolling the die to select teams and positions represent dependent events because the outcome of the first event affects the outcome of the second event.
Find c. Select the letter of the solution.
Answer:
that would be B
Step-by-step explanation:
This is due soon and I need help with this. I would appreciate it if anyone can help me with it. Thanks :)
The equation of the straight line which has a gradient of -2 and passes through (1, 7) is y = -2x + 9.
How to get the slope-intercept form of a straight line equation?The slope-intercept form of the equation
y = mx +c
Here
m is the slope
c is the y-intercept
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
Substituting the point (1, 7) and m = -2 to determine the y-intercept
y = mx +c
7 = (-2)1 + c
c = 7 + 2
c = 9
Thus, the equation of a line using the slope-intercept form is
y = mx +c
m= -2
c = 9
y = -2x + 9
Therefore, we conclude that the equation of a line using the slope-intercept form is y = -2x + 9.
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Anybody want to help with math?
10 + 23 / (4 + 1 + 10) - 200 + 365
Ty :)
Answer:
176.53
Step-by-step explanation:
All i didnwas just solve the math on paper and u could use a caculator
Answer:
33/-550
Step-by-step explanation:
Add
Hope it help
Mrs. Crosby had 350 sheets of paper. She used 8 sheets of paper for a craft. She then gave each student 4 sheets of paper. Which expression represents the number of sheets of paper Mrs. Crosby had left after she gave paper to b students?
A mixture of purple paint contains (6 teaspoons of red paint and (5 teaspoons of blue
paint. To make the same shade of purple paint using 35 teaspoons of blue paint, how
much red paint would you need? Use the double number line diagram to help if
needed.
If the 35 teaspoons of blue paint are there. Then for the purple paint, we need to add 42 teaspoons of red paint.
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 mixture of purple paint contains 6 teaspoons of red paint and 5 teaspoons of blue paint.
To make the same shade of purple paint using 35 teaspoons of blue paint, then the amount of the red paint that you need will be
Let x be the amount of the red color needed.
Then we have
[tex]\rm \dfrac{x}{35} = \dfrac{6}{5}\\\\\\x \ \ = \dfrac{6 \times 35}{5}\\\\\\x \ \ = 6 \times 7\\\\\\x \ \ = 42 \ spoons[/tex]
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Solve the following absolute value inequality.
|-x + 215-7
What is the positive absolute value for x?
x > [?]
X = []
<
Step-by-step explanation:
|-x+2|≤-7
-x+2≤-7 or -(-x+2)≤-7
-x≤-9 x-2≥-7
x≥9 x≥-7+2
x≥-5
....
Can someone please help me out with number 4. I will reward brainliest.
Answer:
y = 2sin(x - π/4)
Step-by-step explanation:
The graph depicts a sin graph which is shifted to the right by π/4 so the x value will have be bigger so to counteract this change, the equation would be sin(x - π/4) and since the amplitude is 2, the overall equation would be 2sin(x- π/4).
11. a bag contains 8 red marbles, 9 yellow marbles, and
7 green marbles. how many additional red marbles
must be added to the 24 marbles already in the bag so
that the probability of randomly drawing a red marble
is
15.
a 11
b. 16
c. 20
d. 24
e. 32
To get a probability of 3/5, 16 red marbles must be added.
How many additional red marbles must be added?
There are 8 red, 9 yellow, and 7 green marbles, for a total of:
8 + 9 + 7 = 24.
The probability of getting a particular color of marble is given by the quotient between the number of marbles of that color and the total number of marbles.
Here, we want to get a probability of drawing a red marble equal to 3/5.
So, if we add x red marbles, the probability of getting a red marble will be:
P = (8 + x)/(24 + x)
And that must be equal ot 1/5, then we write:
(3/5) = (8 + x)/(24 + x)
If we multiply both sides bt (24 + x), we will get:
3*(24 + x)/5 = 8 + x
Now we can solve that for x.
3*24/5 - 8 = x - x(3/5) = (2/5)*x
x = (3*24/5)*(5/2) - (5/2)*8 = 16
So 16 red marbles must be added, the correct option is b.
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A rectangle has an area of 14 square feet. one side length is 3.5 feet. Find the side length of the other side and then give the perimeter of the square?
Find the mean and median of these data: 2, 5, 13, 15, 19, 21.
The Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.
What is Arithmetic mean?Arithmetic mean is simply the average of a given set numbers. It is determined by dividing the sum of a given set number by their number of appearance.
Mean = Sum total of the number ÷ n
Where n is number of numbers
Median is the middle number in the data set.
Given the sets;
2, 5, 13, 15, 19, 21n = 6Mean = Sum total of the number ÷ n
Mean = (2 + 5 + 13 + 15 + 19 + 21) ÷ 6
Mean = 75 ÷ 6
Mean = 12.5
Median is the middle number in the data set.
Median = ( 13 + 15 ) ÷ 2
Median = 14
Therefore, the Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.
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The length of a scale model of an American Football Field is 7 inches less than twice its width. The area of the model is 72 in^(2). Solve for the dimensions of the rectangular model
The dimension of the rectangular model shows that the length is 9 inches and the width is 8 inches
What is the area of a rectangle?The area of a rectangle is the multiplication of the length and the width of the rectangle.
The area of the rectangle is expressed as:
Area (A) = length (L) × width (w)
A = l × w
Given that:
width = xLength = 2x - 7Area = 72 in ²72 = (2x - 7) × (x)
72 = 2x² - 7x
2x² - 7x - 72 = 0
Using the quadratic calculator
x = 8 or x = -9/2
However, since our length/width distance can't be negative, then:
x = 8
width = 8 inchesLength = 2(8) - 7 = 9 inchesLearn more about the area of the rectangle here:
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2/3 - 3/5 = ?/15 - ?/15
Answer:
? = 6
? = 9
Step-by-step explanation:
[tex]\frac{2}{3} -\frac{3}{5} = \frac{6}{15} - \frac{9}{15}[/tex]
Hope it helped !
Btw have a nice day ! :3
Adriel
Please help me. And please don't ask me anything if it is not related to the question
Answer:
A sclane triangle
Step-by-step explanation:
because none if its side are the same
Can someone pls pls pls pls pls pls pls solve this page for us
Answer:
Depends on the statistics.
Step-by-step explanation:
I will need to see question 2 as it says in the instructions. I need to do this as the plot is based on that question.
I need help to find the equation and measure pls.
Answer:
Step-by-step explanation:
AD and EH are parallel lines
Angle CBD = Angle CFH = x (corresponding angles)
x + 2x = 180 (angles on a straight line)
3x = 180
x = 60
Angle GFH = 120
Angle CBD = 60
answere the question
A town’s newspaper held a contest to decide the best restaurant in town. Only people who subscribe to the newspaper can vote. 25% of the people in town subscribe to the newspaper. 20% of the subscribers voted. 80% of the people who voted liked Darnell’s BBQ Pit best.
Darnell put a big sign in his restaurant’s window that said, “80% say Darnell’s is the best!”
Do you think Darnell’s sign is making an accurate statement? Support your answer with:
Some calculations
An explanation in words
A diagram that accurately represents the people in town, the newspaper subscribers, the voters, and the people who liked Darnell’s best
Answer:
no the sign should say 12 percent of people voted darnells
Step-by-step explanation:
because if the population is 10 thousand and you take 25 percent that will put the total amount of people who can vote at 7500 and then take 20 percwnt of that and it will put you at 1500 people who can vote and then if you take 80 percent of 1500 people who can vote than only 1200 of them voted for Darnell which would make it only 12 percent of people voted for darnells
If there are 200 calories in 100 cubic cm, how many calories in just 1 cubic cm?
The area of the figure is __ square units.
Answer:
26
Step-by-step explanation:
First, let's find the area of the box on top. 5*2 is 10. We can see that there is another identical box, so we can multiply the area of one box (10) by 2 to get 20. Now we need to find the middle box. 3*2 is 6. All we have to do now is add all the boxes' areas together. This would be 20+6 (10+10+6), which gives us our answer, 26.
Hope this helps!
Determine whether or not f is a conservative vector field 3x^2 -5y^2
The given vector Field f(x,y)= [tex]3x^{2} - 5y^{2}[/tex] is not Conservative.
What is Conservative Vector Field?A conservative vector field is a vector field that is the gradient of some function.
The integral is independent of the path that C takes going from its starting point to its ending point.
We know that , the function F conservative if
[tex]\frac{ dP}{dy}[/tex] = [tex]\frac{dQ}{dx}[/tex]
If we prove opposite of this then the function F is not conservative
We have given function , f(x,y)= [tex]3x^{2} - 5y^{2}[/tex]
let P(x,y) = [tex]3x^{2} - 5y^{2}[/tex] and Q (x,y) =0
Now, [tex]\frac{dP}{dy}[/tex] = -10y
and, [tex]\frac{dQ}{dx}[/tex] = 0
Since [tex]\frac{dP}{dy}[/tex] ≠ [tex]\frac{dQ}{dx}[/tex]
Hence, the field is not conservative.
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An Olympic pool is rectangular with a length of 50 meters. Ms Burri wants to fit an Olympic pool in her backyard but doesn't have enough room so she plans to build a similar pool with a length of only 30 meters.
a. She wants to replace the pool deck around her new smaller pool. What is the ratio of the perimeter of the Olympic pool to the new smaller pool?
b. The area of the olympic pool is 1,2500 meters squared. If she were to buy a pool cover to fit her brand new smaller pool, what would the area be?
Perimeter of older
2(50+W)100+2WPerimeter of newer
2(30+W)60+2WAs w is constant cancel it
Ratio
100/605/3Ratio of area is also same
So
5/3=12500/x5x=37500x=37500/5x=7500m²Answer:
See below ~
Step-by-step explanation:
Finding perimeter of Olympic pool and regular pool :
P (olympic) = 2(l + w) = 2(50 + w) = 2w + 100P (regular) = 2(l + w) = 2(30 + w) = 2w + 60Taking the ratio :
2w + 100 : 2w + 60100 : 605 : 3Using ratios to find area of regular :
5 : 3 = 12,500 : aa = 12500/5 x 3 = 2500 x 3a = 7,500 m²Giving brailiest!!!!
Applying the definition of complementary angles, the value of x in the figure given is: 12
What are Complementary Angles?Complementary angles are angles that give 90 degrees when added up.
(3x + 6) + 48 = 90 [definition of complementary angles]
Solve for x
3x + 54 = 90
3x = 90 - 54
3x = 36
x = 36/3
x = 12
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Show your work (19−7)^( (2) ) −8*3+4*3−5
Answer:
Step-by-step explanation:
1 Simplify 19-7 to 12.
12^2−8×3+4×3−5
2 Simplify 12^2 to 144
144−8×3+4×3−5
3 Simplify 8×3 to 24.
144−24+4×3−5
4 Simplify 4×3 to 12.
144−24+12−5
5 Simplify 144-24 to 120.
120+12-5
6 Simplify 120+12 to 132.
132-5
7 Simplify.
127
please help me I will give brainliest
Answer:
I believe the answers are B and C
Step-by-step explanation:
Answer:
i believe b and c
Step-by-step explanation:
What are m 1 and m_2?
180° 115°
85
A.
21 = 30°, m 2 = 35°
B.
21 = 35°, m 2 = 30°
O
C. _1 = 65°, m_2 = 60°
=
0 D. 21 = 85°, m_2 = 80°
Answer:
D. is the correct answer tnx
This Stem-and-Leaf Plot is missing one data item. If the mode of the data set is 71, what is the value of the unknown data item?
Using the mode concept, according to the stem-and-leaf plot, the missing value is of 71.
What is the mode of the data-set?It is the value that appears the most times in the data-set.
In this problem, following the key format of the stem-and-leaf plot, disconsidering the missing value, the values 71 and 64 each appear 3 times.
However, the mode is 71, meaning that is should appear more times than 64, which means that the missing value is of 71.
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Answer:
The missing value is 71
Step-by-step explanation: