Answer:
143
Step-by-step explanation:
Since the values of x y and z are given
Substitute the value in the polynomial, so it'll become,
x+yz+xyz
= (3)+(-5)*(-7)+(3)*(-5)*(-7)
= 3+35+(3)*(-7)*(-5)
{Two negatives when multiplied becomes positive}
=3+35+3*35
= 3+35+105
=143
Every 10 years the alumni have a reunion. Every 2 years the alumni have a soccer game. How often do the reunion and the soccer game fall in the same year?
Answer:
They would fall in the same year every 10 years
Step-by-step explanation:
Here in this question, we are interrelated in calculating the number of years it will take the alumni reunion and the alumni soccer game to fall in the same year.
Now looking at the number of years, we can see we have every 2 and every 10 years
To get the year in which they happen at the same time, we can simply find the lowest common multiple of 2 and 10 and that would be 10
This can be visualized in a way that;
The reunion has happened now, and will happen in the next 10 years.
Now since the soccer game has happened now, in the next 10 years, we shall be having 5 episodes. This means that it will take up to the 10th year before we have the soccer game and the alumni reunion occurring at the same time and the mathematical reason for this is that , 10 is the lowest common multiple of 10 and 2
Answer:
1 times
Step-by-step explanation:
Hello,
The alumni have reunions every 10 years
But also have football games every 2 years
We have to find how often do the football and reunion fall the same year.
Working with a space of 10 years
In 10 years, reunions happen only once
In 10 years, soccer games happen five times
Assuming we're in the year 2020,
The next reunion would likely occur in year 2030.
But soccer games will happen in year 2022, 2024, 2026, 2028 and finally 2030.
Checking both soccer and reunion coincidence, we can only find one which is in year 2030.
So, soccer games and reunions happen once in 10 years
Please help! select the correct answer
Answer:
the answer is show me your kitty cat
Step-by-step explanation:
Write the recursive function for the following sequence. 0, 4, 8, 12,
Find the surface area of the composite solid. PLZ HELP
Step-by-step explanation:
Ok, so the surface area is found by adding up all the areas of each individual shape of the entire solid.
I attached a picture of some of the missing values. That should help a little with visualizing.
Since the three rectangles are all the same values, you can substitute adding them by just multiplying lw (their individual areas) by 3.
The three triangles at the top are all the same as well, so you can multiply their areas ([tex]\frac{1}{2} bh[/tex] ) by 3, too.
Then there's the triangle at the bottom that is by itself, that will just have a 1 in front of it.
Now you can make your surface area equation:
[tex]SA=3lw+3(\frac{1}{2} b_1h_1)+\frac{1}{2} b_2h_2[/tex]
The b1h1 are the three triangles at the top and the b2h2 is the triangle at the bottom.
[tex]SA=3(10)(16)+3(\frac{1}{2})( 10)(6)+\frac{1}{2} (10)(8.7)\\SA=480+90+43.5\\SA=613.5[/tex]
If there's anything you need me to explain further, feel free to comment :)
Answer:
[tex]SA=613.5m^2[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.
Surface area of the triangular prism:
10 × 8.7 × 1/2 + 16 × 10 × 3
⇒ 523.5
Surface area of the triangular pyramid:
6 × 10 × 1/2 × 3
⇒ 90
Adding the surface areas:
523.5 + 90
⇒ 613.5
[tex]\rule[225]{225}{2}[/tex]
Please help me ASAP!!
Answer:
[tex] \boxed{[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] } [/tex]
Step-by-step explanation:
[tex]3 \times 1 = 3 \\ \\ 3 \times ( - 4) = - 12 \\ \\ 3 \times 5 = 15 \\ \\ 3 \times ( - 7) = - 21 \\ \\ \\ = > 3.[1 \: \: \: - 4 \: \: \: \: \: \: 5 \: \: \: - 7] =[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] [/tex]
I need help with this question pls
Answer:
2^-2Step-by-step explanation:
2^(3-5)
=2^-2
Answer:
[tex] \frac{ {2}^{4 + 3} }{2^{5 + 4} } [/tex]
[tex] \frac{ {2}^{7} }{2^{9} } [/tex]
= 2^7-9
= 2^-2
Help center of circle
Answer:
Center = (7, - 5)
Radius = 3
Step-by-step explanation:
[tex] {x}^{2} + {y}^{2} + 14x - 10y + 65 = 0 \\ {x}^{2} + 14x + {y}^{2} - 10 + 65 = 0 \\ ( {x}^{2} + 14x + {7}^{2}) - {7}^{2} + ({y}^{2} - 10y + {5}^{2}) \\- {5}^{2} + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 - 25 + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 + 40= 0 \\ (x + 7)^{2} + (y - 5)^{2} - 9= 0 \\ (x + 7)^{2} + (y - 5)^{2} = 9 \\ (x + 7)^{2} + (y - 5)^{2} = {3}^{2} \\ equating \: it \: with \: \\ (x - h)^{2} + (y - k)^{2} = {r}^{2} \\ - h = 7 \implies \: h = - 7 \\ - k = - 5 \implies \: k = 5 \\ center = ( - h, \: - k) = (7, \: \: - 5) \\ \\ radius \: r = 3[/tex]
PLEASE HELP ME PLEASE AND THANK U
Answer:
3/4
Step-by-step explanation:
There is 2 Os and 8 in total.
So the probability of selecting O is 1/4
As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4
how many servings are in 8 liters of honey if one serving is 1/4 of a liter?
Answer:
32 servings
Step-by-step explanation:
Take the amount of honey and divide by the size of a serving
8 ÷ (1/4)
Copy dot flip
8 * 4/1
32
There are 32 servings
Answer:
32 servings
Step-by-step explanation:
if f(x)=x+3 g(x)=2x+6 find (f+g)(x)
Answer:
3x + 9
Step-by-step explanation:
For value of (f+g)(x) add two functions up
x + 3 + 2x + 6 = 3x + 9
A business man mixed high quality sugar costing 10 shillings with low quality sugar costing 8 shillings per kg in the ratio 3:5 by which he sold the mixture at 9.80 shillings per kg . What was his percentage profit?
Answer:
His percentage profit is 12%
Step-by-step explanation:
Here, we want to calculate the percentage profit made by the business man.
Per kg of what he is selling, he has 3 parts high quality sugar and 5 parts low quality sugar.
Now let’s see how much these costs
For the high quality sugar, it’s total kg mixed per kg will be 3/(3+5) = 3/8
Since high quality sugar costs 10 shillings per kg, 3/8 of a kg will cost 3/8 * 10 = 30/8 = 3.75 shillings
For the low quality, its part will be 5/(3 + 5) = 5/8
since low quality costs 8 shillings per kg, 5/8 of a kg will cost 5/8 * 8 = 5 shillings
Total cost price = 3.75 + 5 = 8.75 shillings
% profit = (selling price - cost price)/cost price * 100%
selling price here is 9.8 shillings per kg
while cost price is 8.75 shillings per kg
% profit = (9.8-8.75)/8.75 * 100%
= 1.05/8.75 * 100% = 0.12 * 100% = 12%
what’s the perimeter
Answer:
the answer is 10
Step-by-step explanation:
the other shape is half of all the degreed of the first one
Answer: 10
Step-by-step explanation:
AB: 3.0/2 = 1.5 = EF
BC: 5.0/2 = 2.5 = FG
CD: 4.0/2 = 2.0 = GH
DA: 8.0/2 = 4.0 = EH
1.5+2.5+2.0+4.0 = 10
. The new saleswoman at Clocks Unlimited was very good. During her first day on the job she sold at least two of each of the three models that other salespeople found the most difficult to sell: the kitchen clock that sells for $17, the cuckoo clock that sells for $3 1, and the two-foot high grandfather clock that sells for $61. In all, she collected $300 from selling these models alone. How many $17 clocks did she sell? Justify your answer
Answer:
5
Step-by-step explanation:
Let the number of the kitchen clock sold =a
Let the number of the cuckoo clock sold =b
Let the number of the two-foot high grandfather clocks sold =c
The new saleswoman sold at least two of each of the three models.
Therefore:
[tex]a\geq 2\\b \geq 2\\c \geq 2[/tex]
In all, she collected $300 from selling these models alone
17a+31b+61c=300
17(2)+31(2)+61(2)=218
300-218=82
Next, we try to express the remainder (82) in terms of 17, 31 and 61
82=17(3)+31
Therefore, she sold:
5 kitchen clocks3 cuckoo clocks 2 two-foot high grandfather clocksShe sold 5 $17 clocks.
CHECK:
17(5)+31(3)+2(61)=$300
Here is a pattern made from sticks:
a) How many sticks would be in pattern number 6?
Answer: 32
b) How many sticks would be in pattern n?
Answer: ____
Recursive formula of an arithmetic sequence is given by the expression,
[tex]T_n=a+(n-1)d[/tex]
Where, [tex]T_n=[/tex] nth term
[tex]a=[/tex] First term of the sequence
[tex]n=[/tex] Number of term
[tex]d=[/tex] Common difference
Therefore, number of sticks in the 6th pattern are 32.
And number of sticks in the nth pattern are [tex]T_n=5n+2[/tex]
From the picture attached,
Number of sticks in 1st pattern = 7
Number of sticks in 2nd pattern = 12
Number of sticks in 3rd pattern = 17
Sequence formed is 7, 12, 17..... nth term
This sequence has a common difference of 5 in each successive term so it will be an arithmetic sequence.
Therefore, nth term of the sequence will be,
[tex]T_n=a+(n-1)d[/tex]
[tex]T_n=7+(n-1)5[/tex]
[tex]T_n=5n+2[/tex]
If [tex]n=6,[/tex]
[tex]T_n=7+(6-1)5[/tex]
[tex]T_n=7+25[/tex]
[tex]T_n=32[/tex]
Learn more,
https://brainly.com/question/1606280
What’s the area of this triangle??
Answer:
6
Step-by-step explanation:
In a right triangle the legs are base and height
area = (1/2) base × height = (1/2) 3 (4) = 6
Answer: 6 square units
write an equation to represent the total cost for a certain number of cans. Use "c" for cost and "n" for number of cans
Answer:
C(n)=1.25n
Where n= number of cans
Step-by-step explanation:
C=cost
n=number of cans
Quantity Total cost
1 $1.25
2 $2.50
3 $3.75
4 $5.00
Total cost, c(n) =1.25n
Check
Total cost when n=4
Total cost c(4)=1.25×4
Total cost c(4)=5.00
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the range of the data? *
Answer:
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points
Step-by-step explanation:
Answer:
11 points
Step-by-step explanation:
Range = Highest value - lowest value
Highest value = 24
Lowest value = 13
Range = 24 - 13
Range = 11
5. What is the value of s if 8.25s - 2.375 = 10?
1.5
8,25
8
1.7
8,25
06
8,25
093
Answer:
1
Step-by-step explanation:
8-1,2,4.....
25-1,5...
How much water can a rectangular pool hold if it has a length of 30 feet, a width of 25 feet, and is 8 feet deep?
Answer:
44,886 gallons
Step-by-step explanation:
We need to find the volume
V = l*w*h
V = 30ft*25ft*8ft
V =6000 ft^3
We know that 1 ft^3 = 7.481 gallons
6000 ft^3 * 7.481 gallons/1 ft^3 = 44886 gallons
Answer:
44,883 gallons
Step-by-step explanation:
The amount of water the pool can hold can be found by calculating the volume of the pool.
We know that the pool is rectangular, and it is a three dimensional shape (3 dimensions: length, width and depth). Therefore, we can use the formula for finding the volume of a rectangular prism:
V=l*w*h
We know the length is 30 feet and the width is 25 feet. The height is also the depth, so the height is 8 feet.
l= 30 feet
w=25 feet
h= 8 feet
Substitute these values into the formula.
V= 30 feet * 25 feet * 8 feet
Multiply the numbers together.
V= (30 feet * 25 feet) * 8 feet
V= 750 feet^2 * 8 feet
V=6000 feet^3
Now, let's find how many gallons the pool can hold.
1 ft^3 is equal to 7.4805 gallons. Therefore, we can multiply 6000 ft^3 and 7.4805
6000 ft^3 * 7.4805 gallons/1 ft^3
6000* 7.4805 gallons
44,883 gallons
The pool can hold 44,883 gallons of water.
Please solve each algebraically : a) 5w= 30 b) 3x - 5 = 16 c) 10 - t = 17 d) n/5 = 18 e 4w -12 =2w + 3 THANK YOU!
Answer:
w=6, x=7, t=7, n=90, w=15/2
Step-by-step explanation:
a) 5w = 30
30/5 = 6
w=6
b) 3x-5=16
Add 5 to each side.
3x+5=16+5
3x=21
21/3=7
x=7
c) 10-t=17
10-t=17
17-10-7
-t=-7
Negative and a negative is a positive.
t=7
d) n/5 = 18
n=18 * 5
n=90
e.) 4w-12=2w+3
4w=2w+3+12
4w=2w+15
4w−2w=15
2w=15
w= 15/2
PLZ HLP MEEEEEEEEEEEEEE
Answer:
D
Step-by-step explanation:
The total number of students is 15+12= 27
The ratio of girls to total students is 12/27 = 4/9
Shannon can milk cows at a rate of Two and one-half gallons per minute. Steven milks cows Two-thirds as fast as Shannon. How fast does Steven milk cows?
A. One and one-third gallons per minute
B. One and two-thirds gallons per minute
C. Two and two-thirds gallons per minute
D. Three and three-fourths gallons per minute
Answer:
B
Step-by-step explanation:
1 and 2 thirds gallons per minute
Pleeaaase hellllppppp…………………
Answer:
C, 1/10 c^3d^4
Remove the cubic root operation by raising all the terms by 1/3
1/100^1/3 c^9^1/3 a^12^1/3
Simplify:
1/10c^3a^4
Solve the inequality.
Answer:
1 1/5 [tex]\geq[/tex] x OR one and on fifth is greater than or equal to x.
Step-by-step explanation:
2/5 [tex]\geq[/tex] x - 4/5
To isolate x, we need to add 4/5 to each side:
6/5 [tex]\geq[/tex] x is what we get
We can simplify it to:
1 1/5 [tex]\geq[/tex] x
Add 4/5 to both sides
X <= 6/5
X <= 1 1/5
i need to solve this wink wink 5-6+8*674/2
Answer: 2,695
Step-by-step explanation:
5-6+8*674/2
Multiply 8 and 674
5-6+5,392/2
Divide 5,392 by 2
5-6 + 2,696
Subtract 6 from 5
-1 + 2,696
Add
2,695
Step-by-step explanation:
5 - 6 = -1
-1 + 8 = 7
7 x 674 = 4,718
4,718 / 2 = 2,359
There are 120 males and 180 females in Albany Tennis Club.
Write the number of males to the number of females as a ratio in its simplest form.
Given a function, describe how to find the average rate of change over a given interval.
Answer:
To find the average rate of change, we divide the change in the output value by the change in the input value. The Greek letter Δ (delta) signifies the change in a quantity; we read the ratio as “delta-y over delta-x” or “the change in y divided by the change in x”.
Answer:
Find the average rate of change of the function
A General Note: Rate of Change
The units on a rate of change are “output units per input units.” The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
Martha has $10,000 saved and wants to attend a college with a current tuition of $10,000 a year. She will graduate from high school in five years. Roughly how much more will Martha need to save for one-year's tuition to account for an annual rate of inflation of 3%?
Answer:
$1,592.74
Martha will need to pay $1,592.74 more
Step-by-step explanation:
Using the compound interest/inflation formula;
A = P(1+r)^(t)
Where;
A = final value
P = initial value = $10,000
r = inflation rate = 3% = 0.03
t = time = 5 years
Substituting the values;
A = $10,000(1+0.03)^(5)
A = $11592.740743
A = $11,592.74
How much more will Martha need to save;
C = final value - initial value = A - P
C = $11,592.74 - $10,000
C = $1,592.74
Martha will need to pay $1,592.74 more
Answer:
1,590.00
Step-by-step explanation: I took the test
Kathleen bought 8.3 ounces of walnuts. The next day, she used 1.7 ounces of them in a recipe. How many ounces does she have left?
Answer:
6.6 ounces left
Step-by-step explanation:
Take the amount she had and subtract the amount she used
8.3-1.7 =6.6
Answer:
She has 6.6 ounces left.
help me with this pls
Step-by-step explanation:
b can be used to check her score
