Answer:
20
Step-by-step explanation:
using the given formula:
V = 1/3(Base Area)(height)
V = 1/3 (5)(12)
V = 1/3 (60)
V = 20
Answer:
20
Step-by-step explanation:
V = 1/3Bh
V = 1/3 x 5 x 12
V = 4 x 5
V = 20 cubic feet
Answer has exponent please help
Answer:
the exponent is four
2x2x2x2 is 16
A certificate of deposit earns 0.75% annual interest every three months. The interest is compounded. What is the value of a $32,000 investment after 5 years?
A. $33,221.62
B. $37,157.89
C. $43,099.36
D. $57,795.56
Answer:
Given that certificate of deposits earns 0.75% interest every three months, the value of $25,000 after 8 years will be:
A=P(1+r/100)^nt
where:
A=amount
P=principle
r=rate
t=time
n=number of terms
thus:
from the infomation
$25000, r=0.75%, t=8 years, n=12/3=4
thus
A=25000(1+0.0075/100)^(4*8)
A=25000(1.0075)^32
A=$3175.28
Step-by-step explanation:
Write the equation of the line in slope-intercept form given
• Point (5,6)
• Point (3,-2)
Step-by-step explanation:
(-2-6)/(3-5)= -8/-2= 4
y+2= 4(x-3)
y+2= 4x-12
y=4x-14
Answer:
y = 4x - 14 or y = 2(x - 7)
Step-by-step explanation:
Finding the slope
m = -2 - 6 / 3 - 5m = -8/-2m = 4Finding the y-intercept
Take x-coordinate to be 0 and take one of the 2 points mentioned and put in the point-slope equation formy - 6 = 4(0 - 5)y - 6 = 4(-5)y = -14Making the equation using slope-intercept form
y = mx + cy = 4x - 14 or y = 2(x - 7)at cooley middle school there are 6 teachers for every 102 students. there are 825 students enrolled at the school. How many teachers are needed?
Answer:
49 teachers
Step-by-step explanation:
By proportion, the number of teachers needed is found as follows:
6/102 = x/825 where x is the required number of teachers.
102x = 6*825
x = (6*825)/102
= 48.5
Answer:
Se necesitan 49 profesares
Step-by-step explanation:
11 gallons of water are used to completely fill 5 fish tanks. if each tank holds the same amount of water, how many gallons will each tank hold? solve on paper and check your work on zearn. express your answer as a mixed number
Answer:
[tex]2\frac{1}{5}[/tex]
Step-by-step explanation:
The 11 gals of water are equally split up into 5 tanks, so divide 11 by 5.
[tex]\frac{11}{5}[/tex] then simplifies into [tex]2\frac{1}{5}[/tex]
Which number is greatest?
CLEAR SUBMIT
290,095
209,509
290,905
209,950
Answer:
290,905
Because the ten-thousands place is greatest, and the hundreds place is greater than option A, we can determine that option C is correct.
Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.
Step 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
She made a mistake on step 3
The [tex]18^2+24^2[/tex] is not the same as [tex](18+24)^2[/tex]
This is what her steps should look like
[tex]a^2 + b^2 = c^2\\\\18^2 + 24^2 = 30^2\\\\324 + 576 = 900\\\\900 = 900\\\\[/tex]
Since we get the same number on both sides, this means the last equation is true. This means the first equation is also true. Therefore, she does have a right triangle. Refer to the converse of the pythagorean theorem for more info.
Answer: The answer is in fact C.
Step-by-step explanation:
I am the lizard king, I can do anything.
The functions f(x)=−34x+214 and g(x)= (12)x+1 is shown in the graph.
What are the solutions to −34x+214= (12)x+1?
Select each correct answer.
−1
0
1
2
3
An exponential curve and a line graphed on a coordinate plane. The horizontal x-axis ranges from negative 4 to 4 in increments of 1. The vertical y-axis ranges from negative 4 to 4 in increments of 1. The curve begins in the second quadrant. The curve decreases through begin ordered pair 0 comma 2 end ordered pair. The curve passes through begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair and exits the first quadrant. The line passes through begin ordered pair 0 comma 2.25 end ordered pair and begin ordered pair 3 comma 0 end ordered pair. The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair.
Answer:
x = -1 and x = +1
Step-by-step explanation:
The solution to f(x) = g(x) is found where the graphs intersect.
__
Your problem statement tells you the solution:
"The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair."
We interpret this statement to mean the points of intersection are ...
(-1, 3) and (1, 1.5)
The x-values that make f(x) = g(x) are x=-1 and x=1.
The fifth term of a geometric sequence is 781.25. Each term of the sequence is 1/5 of the value of the following term. Which recursive formula represents the situation?
Answer choices are in the image attached.
The recursive formula of the geometric sequence is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25
How to determine the recursive formula?The given parameters are:
Fifth term = 781.25
Term = 1/5 * following term
The second parameter above means that:
[tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex]
Multiply both sides by 5
[tex]a_{n+1} = 5a_n[/tex]
Remove 1 from the terms
[tex]a_{n} = 5a_{n-1}[/tex]
Using the formula [tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex], we have the first term to be:
[tex]a_1 = \frac 15 * a_2[/tex]
[tex]a_2 = \frac 15 * a_3[/tex]
[tex]a_3 = \frac 15 * a_4[/tex]
[tex]a_4 = \frac 15 * a_5 = \frac 15 * 781.25 = 156.25[/tex]
So, we have:
[tex]a_3 = \frac 15 * 156.25 = 31.25[/tex]
[tex]a_2 = \frac 15 * 31.25 = 6.25[/tex]
[tex]a_1 = \frac 15 * 6.25 = 1.25[/tex]
Hence, the recursive formula is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25
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Answer:
A
Step-by-step explanation:
Two quantities are proportional if their ___ are equal.
A) numerator
B) denominators
C) cross products
Answer:
C) cross products
Step-by-step explanation:
Let's say you were solving [tex]\frac{1}{2}=\frac{x}{4}[/tex] for example. You would need to use cross products to simplify the problem. Here, the left side would be 1*4, and the right side would be 2*x, giving you [tex]4=2x[/tex], thus, leading to the solution [tex]x=2[/tex]. We can see clearly that the cross products would thus need to be equal to each other.
please help me with my math problem
Answer:
A
Step-by-step explanation:
sin 32=29.2/x
x=29.2/sin 32
Answer:
[tex]A.\:\:x =\frac{29.2}{\sin (32)\degree}[/tex]
Step-by-step explanation:
[tex]\huge \sin 32\degree =\frac{29.2}{x}[/tex][tex]\huge\implies x =\frac{29.2}{\sin (32)\degree}[/tex]Roadstone Limited can resurface 7/8km of a road in a day. How many days will it take
to resurface a road of length 14 km?
Answer:
16 daysStep-by-step explanation:
Let x be the number of days that it will take.
7/8 km per 1 day
14 km per x day
We have to solve the equation:
[tex]\frac{x}{1} =\frac{14}{\left( \frac{7}{8} \right) }[/tex]
[tex]\Longrightarrow x=14\times \frac{8}{7} =2\times 8=16[/tex]
A pack of cookies contains 24 cookies. Now the advertisement says that the pack contains 25% more then before How many cookies are in the pack now?
Answer:
24 cookies increased by 25% is 30 cookies
step by step explination:
If you want to increase a number by a certain percentage, follow these steps:
1. Divide the number you wish to increase by 100 to find 1% of it.
2. Multiply 1% by your chosen percentage.
3. Add this number to your original number.
4. There you go, you have just added a percentage increase to a number!
I am confused about this question
Answer:
X = 5
Step-by-step explanation:
When the line is going vertically down, the x-intercept is always the equation of the line.
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when the line passes through the y-axis)However, for vertical line equations, we write them a little differently:
[tex]x=d[/tex]
d = the x-intercept (the value of x when the line passes through the x-axis)We write equations for vertical lines like this because they might not always have a y-intercept.
Solving the QuestionWe're given:
Line L passes through the x-axis when x = 5This means that the x-intercept of the line is 5. Plug this into [tex]x=d[/tex]:
[tex]x=d[/tex]
[tex]x=5[/tex]
Answer[tex]x=5[/tex]
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
The s represents the y-intercept of the graph.
The 100t in the equation means the initial velocity of the rockey is 100
Step-by-step explanation:
According to the text and graph.
The s reprecets the yintexept of the graph
h(t)=5+100t-16t²
h(t)=100-32t
k(0)=100
in terms of the rocket The 100t in the equation means the initial velocity of the rockey is 100
read the image for the rest
Find the area of the regular polygon
Answer:
a = 337.214 m2
Step-by-step explanation:
hope this helps
pls help i beg you!
A plumber charges a flat fee of $79 to visit a home and examine a clogged drain. The plumber charges an additional $24 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes H hours is given by the following.
c=79+24h
Answer the following questions.
(a)
What is the total cost for fixing a drain that takes 7 hours?
$?
(b)
If the plumber charged a total of $343, how many hours did he spend fixing the drain?
?hours
Answer:
for "A" the answer is 247$
For "B" the answer 11 hours
Step-by-step explanation:
I need help!! I don’t know which one it is.
Which point is closest to point A?
Point__
Answer:
Point D
Step-by-step explanation:
The length from Point A to Point D is 6 units, while the length from point A to Point C is 7 units, and the length from Point A to Point B is also 7 units. Because to reach Point C, you have to make one turn, adding one more unit. Same with Point B.
============================================================
Explanation:
Point A is at (-3,3) while point B is at (2,5)
Let's use the distance formula to find the distance between these points.
[tex]A = (x_1,y_1) = (-3,3) \text{ and } B = (x_2, y_2) = (2,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-2)^2 + (3-5)^2}\\\\d = \sqrt{(-5)^2 + (-2)^2}\\\\d = \sqrt{25 + 4}\\\\d = \sqrt{29}\\\\d \approx 5.3852\\\\[/tex]
The distance from A to B is approximately 5.3852 units.
-------------
Point C is at (-2,-2)
Let's find the distance from A to C
[tex]A = (x_1,y_1) = (-3,3) \text{ and } C = (x_2, y_2) = (-2,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-2))^2 + (3-(-2))^2}\\\\d = \sqrt{(-3+2)^2 + (3+2)^2}\\\\d = \sqrt{(-1)^2 + (5)^2}\\\\d = \sqrt{1 + 25}\\\\d = \sqrt{26}\\\\d \approx 5.099\\\\[/tex]
The distance from A to C is approximately 5.099 units.
So far, point C is the closest to point A.
-------------
Point D is at (3,3)
We could use the distance formula to find the distance from A to D, but we can simply subtract the x coordinates and make the result positive if needed. This works because points A and D have the same y coordinate.
D - A = 3 - (-3) = 3+3 = 6
The distance from A to D is 6 units.
Or you could count out the horizontal spaces between the points and you should count 6 spaces.
----------------
Summary:
Distance from A to B = 5.3852 (approximate)Distance from A to C = 5.099 (approximate)Distance from A to D = 6 (exact)The smallest distance value is the 5.099, which is from A to C.
Therefore, point C is closest to point A.
writing fractions with common denominators to add or subtract(Aleks)
Answer:
3/5+1/3= 9/15+5/15= 14/15
Step-by-step explanation:
Hi there!
To make fractions have a common denominator, multiply both the numerator and the denominator by a number. In this case, 3/5= 9/15, because both the numerator and denominator are multiplied by 3. 1/3= 5/15, using the same rule. 9/15+5/15=14/15
Hope this helped! If it did, pls press the heart :)
Which of the following can be the third side of a triangle whose other two sides measure 8 inches and 10 inches
A) 17inches
B) 18inches
C) 19 inches
D) 20 inches
1. Which of the following statements is correct? a) The additive inverse of number 0 does not exist. b) The additive inverse of number 1 does not exist. c) The multiplicative inverse of number 0 does not exist. inverse of number 1 does not d) The multiplicative exist.
Answer:
c
Step-by-step explanation:
The multiplicative inverse of number 0 does not exist.
When taking the multiplicative inverse of 0, we get :
[tex]\frac{1}{0}[/tex]This is not defined, as there are no set limits in the denominatorHence, the multiplicative inverse of 0 does not existif u want u can answer question 14 and 15 but if u don’t just answer 14
Answer:
For #14, (around) 108 times.
#15 = 53
Step-by-step explanation:
14)
2.69*10^5 = 269000
2.5*10^3 = 2500
269000/2500 = 107.6
Rounding up, we get 108
15)
√(53 - 8)2 + (31 - 3)2
= √(45)2 + (28)2
= √2809
= 53
Hope this helped! I would love a Brainliest if this helped you!
image below i will give brainliest
Answer:
10.6
Step-by-step explanation:
We can use the Pythagorean Theorem to find the radius, as we are given a right triangle. The hypotenuse is 16. So we have [tex]r^2 + 12^2 = 16^2[/tex].
Solving for [tex]r[/tex] (radius), we get [tex]r = \sqrt{16^2 - 12^2} = 10.6[/tex] (rounded to the nearest tenth place).
The height of an equilateral triangle is the square root of 12. Find the perimeter of the triangle.
a box has a length of 15 centimetres , a width of 22 centimetres, and a height of 9 centimetres.what is the surface area of the box
Answer:
1326 cm²
Step-by-step explanation:
1) Identify the equation of the surface area of a rectangular prism
[tex]A = 2(wl + wh + hl)[/tex]
2) Input the corresponding values [tex]l=15 cm[/tex]; [tex]w=22 cm[/tex]; and [tex]h=9 cm[/tex] into the equation, and solve for the area
[tex]A=2(wl+wh+hl)\\A=2((22)(15)+(22)(9)+(9)(15))\\A=2(330+198+135)\\A=2(663)\\A=1326 cm^{2}[/tex]
3) ∴ [tex]A=1326cm^2[/tex]
For the function: f(x) = 18 − x − x2
Find f(9)
Find the surface area of the space figure represented by the net.
A) 264 in.2
B) 290 in.2
C) 145 in.2
D) 242 in.2
Answer:
290 in^2.
Step-by-step explanation:
Adding all the areas of rectangles:
= 11*8 + 11*3 + 11*8 + 11*3 + 3*8 + 3*8
= 290 in^2.
Answer:
B) 290 in²
Step-by-step explanation:
Area of a rectangle = length × width
⇒ SA of the net = 2(11 × 8) + 2(11 × 3) + 2(8 ×3)
= 176 + 66 + 48
= 290 in²
What are the coefficients in the polynomial 4x2 + 3x-3?
•4, -3, -3
•4, 3
•4, 3, 3
•-4, -3
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What are the coefficients in the polynomial 4x²+3x-3?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
Coefficient:- A number before a variable
Coefficients in this polynomial:-
4 (the number before x²) and 3 (the number before x)
So we conclude that the right option is:-
[tex]\bigcirc\!\!\!\!\!\large\checkmark[/tex] 4, 3 (Option B)
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
ICE CREAM For Exercises 5 and 6, use the
following information provided in the
table.
Toppings
Ice Cream (Scoop)
Sprinkles
Hot Fudge
Whipped Cream
Nuts
Cost
x dollars
$0.25
$0.75
$0.50
$0.35
5. Ten kids each order a scoop of ice
cream. Five of the kids add sprinkles,
3 add nuts, and 2 add nothing extra.
Write and simplify an expression that
represents the total cost.
So, the simplified expression that represents the total cost is 8(x + 0.34375) dollars.
What is cost?Let x be the cost of one scoop of ice cream without any toppings. Then the total cost for each kid who adds sprinkles is x + 0.25, the total cost for each kid who adds nuts is x + 0.35, and the total cost for each kid who adds nothing extra is x.
Therefore, the total cost for the 10 kids is:
5(x + 0.25) + 3(x + 0.35) + 2x = 8x + 2.75
Simplifying this expression, we get:
8x + 2.75 = 8(x + 0.34375)
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Joe has a bag with 10 pink marbles and 20 silver marbles. If he draws a marble from the bag without looking, what is the probability that it will be a pink marble?
The probability is the ratio of the favorable outcome to the total number of outcomes. Then the probability of a pink marble is 33.33%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Joe has a bag with 10 pink marbles and 20 silver marbles.
If he draws a marble from the bag without looking.
Then the probability that it will be a pink marble.
The total number of the event will be
Total event = 20 + 10
Total event = 30
Favorable event = 10
Then the probability will be
P = 10 /30
P = 1/3
P = 0.3333
P = 33.33%
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