Answer:
Approximately 78 yards
Step-by-step explanation:
From the question, I was able to deduce that the swimming pool is a cuboid because the length and width step different in yards. After sketching a cuboid, length= 60 yards, width= 50 yards, then draw a diagonal across the upper rectangle of the cuboid, to get the diagonal, use Pythagoras theorem, Hypotenuse²= opposite²+adjacent²;. x²=60²+50²=3600+2500=6100 ;.
x²=6100 therefore X=√6100 =78.1024 yards, but approximately 78yards, since the question instructed that answer should be approximated.
The function f is defined by f(x) = k/x+3, where k is a constant. Find k, if the graph of f passes through the point (3/4,0).
k=
Answer:
The value of k if the graph of f passes through the point (3/4,0) is [tex]\mathbf{k=-\frac{9}{4}}[/tex]
Step-by-step explanation:
We are given the function: [tex]f(x)=\frac{k}{x}+3[/tex] where k is constant.
We need to find k, if the graph of f passes through the point (3/4,0).
So, graph passes through point (3/4,0) we have x=3/4 and y =0
Putting value of x in given function we can find value of x
We have f(x)=0, and x= 3/4
[tex]f(x)=\frac{k}{x}+3\\0=\frac{k}{\frac{3}{4} }+3[/tex]
Using fraction rule: [tex]\frac{a}{\frac{b}{c} }=\frac{a.c}{b}[/tex]
[tex]0=\frac{4k}{3 }+3\\Taking \ LCM\\0=\frac{4k+9}{3}\\3*0=4k+9\\0=4k+9\\4k=-9\\k=\frac{-9}{4}[/tex]
So, The value of k if the graph of f passes through the point (3/4,0) is [tex]\mathbf{k=-\frac{9}{4}}[/tex]
(HELP) solve the system by substitution. check your answer.
4x+5y=7
x=5y+8
How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?
Answer:
The stack of blocks is 25.96 inches tall
Step-by-step explanation:
Volume of a Cube
Suppose we are given a cube of side L, the volume is calculated by:
[tex]V=L^3[/tex]
If the volume is given, the side can be found by solving for L:
[tex]L=\sqrt[3]{L}[/tex]
We know three cube-shaped blocks with volumes 375, 648, and 1029 cube inches. We'll find each of the side lengths and add them up to find the height that results when they stack up vertically.
Block 1, volume =375 cube inches:
[tex]L_1=\sqrt[3]{375}=7.21\ inch[/tex]
Block 2, volume= 648 cube inches:
[tex]L_2=\sqrt[3]{648}=8.65\ inch[/tex]
Block 3, volume =1029 cube inches:
[tex]L_3=\sqrt[3]{1029}=10.10\ inch[/tex]
Total height=[tex]7.21\ inch+8.65\ inch+10.10\ inch=25.96\ inch[/tex]
The stack of blocks is 25.96 inches tall
Find the sum or difference.
10/2x - 3/2x
Answer:
7/2x
Step-by-step explanation:
Which graph best describes a system of equations that has no solution
Use the remainder theorem to determine if x = 4 is a zero of the following polynomial and find the quotient and the remainder
p(x) = x2 + 11x - 60
ОА.
Yes, x = 4 is a zero of the polynomial
The quotient is x + 15, and the remainder is 0.
ОВ.
No, x = 4 is not a zero of the polynomial
The quotient is x + 15, and the remainder is 0
OC Yes x = 4 is a zero of the polynomial.
The quotient is x + 7, and the remainder is 0
D
No, x = 4 is not a zero of the polynomial.
The quotient is x + 7, and the remainder is -88
Given:
The polynomial is
[tex]p(x)=x^2+11x-60[/tex]
To find:
Whether x = 4 is a zero of the given polynomial by remainder theorem and find the quotient and remainder.
Solution:
According to the remainder theorem, if (x-c) divides a polynomial p(x), then the remainder is p(c).
Divide the polynomial by (x-4) and check whether the remainder p(x)=0 at x=4.
Putting x=4 in the given polynomial, we get
[tex]p(4)=(4)^2+11(4)-60[/tex]
[tex]p(4)=16+44-60[/tex]
[tex]p(4)=60-60[/tex]
[tex]p(4)=0[/tex]
Since, remainder is 0, therefore, (x-4) is a factor of p(x) and x=4 is a zero.
Now, on dividing p(x) be (x-4) we get
[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{x^2+15x-4x-60}{x-4}[/tex]
[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{x(x+15)-4(x+15)}{x-4}[/tex]
[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{(x+15)(x-4)}{x-4}[/tex]
[tex]\dfrac{x^2+11x-60}{x-4}=x+15[/tex]
The quotient is x+15 and remainder is 0.
Therefore, the correct option is A.
What is the equation in slope-intercept from of the line that passes through the points
( - 4, 2 ) and ( 12, 6 )?
Answer:
This be the ooogggaaaaa boooogaaaaa 696969
Step-by-step explanation:
uhhh
The local take out pizza place or 40 plain pizzas last week they sold 65% more plain pizzas this week than last week how many plain pizzas do they sell this week
Answer:
They sold a total of 66 pizzas.
Step-by-step explanation:
65% of 40 = 26
40 + 26 = 66 pizzas
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Upper quartile is the point below which .......... *
25 % of the items lie.
50 % of the items lie.
75 % of the items lie.
100 % of the items lie.
Answer:
75 % of the items lie.
Step-by-step explanation:
Upper quartile is the point below which 75 % of the items lie.
Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x and the width is 2x2 − 99x + 3 where the measurements are in feet.
If the length of the enclosed yard is 50 feet and the cost of fencing is $14 per foot, how much will Janice need to spend on fencing?
Janice will need to spend $_____ on fencing.
Answer $ 17 Step-by-step explanation:
Find the mode of the following data. 56,34,45,65,67,56,45,36,92,73,92,45,56
====================================================
Explanation:
Original list = {56,34,45,65,67,56,45,36,92,73,92,45,56}
Sorted list = {34,36,45,45,45,56,56,56,65,67,73,92,92}
We see that 45 and 56 both occur three times each, and this is the most occurring or most frequent. So the mode is the set {45, 56}. It is possible to have more than one mode. It is also possible to not have a mode at all if each value in a list only occurs one time.
Answer:
its between 56 and 45 and i havent rlly done this since 5th or 6th grade so
Step-by-step explanation:
Betty is making a quilt made of various patterns . She buys 3 sheets of fabric that each have an area of 30 square feet. She cuts them up into sections that are each 2/5 of a square foot . How many sections will she have total
Answer:
She will have 12 sections per fabric and 36 sections in all
Step-by-step explanation:
Betty buy 3 fabrics of 30 ft²
If she cut each to 2/5 of 1 ft²
Then she will have
30 × 2/5
= 6 × 2
= 12
She will have 12 for each fabric and for the 3 fabrics, she will have
12 × 3 = 36
Step-by-step explanation:
Answer:
225 sections
Step-by-step explanation:
Each fabric has an area of 30 sq ft.
All 3 fabrics have a total area of 3 * 30 sq ft = 90 sq ft.
Each sections has an area of 2/5 sq ft.
number of sections = total area of fabric / area of each section
90/(2/5) = 90 * 5/2 = 450/2 = 225
Answer: 225 sections
Select all of the terms that apply to the shape.
pentagon
hexagon
heptagon
octagon
nonagon
decagon
regular polygon
irregular polygon
concave
convex
Answer:
1,2,4,6,7
Step-by-step explanation:
The given shape is a pentagon, an irregular polygon, and also convex.
What is a polygon?A Polygon is considered to be Concave if its diagonal can lie outside the Polygon as well.
A polygon is considered to be Convex if all of its diagonals lie within it.
A polygon is considered to be regular if it is convex and has equal sides and angles.
If all of the angles and sides of a polygon are not equal, it is said to be irregular.
Here,
The given shape has five sides, which means this is a pentagon.
The given shape has unequal sides, which means this is an irregular pentagon.
The given shape has it's all its diagonals lying inside, which means this is a convex pentagon.
Thus, the given shape is a pentagon, an irregular polygon, and also convex.
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Please I need help ASAP
If you have $20 for a $3.00 snack and the rest to play $2.00 arcade games. At most how many games can you play ? (Setup & solve an inequality)
Answer:
8
Step-by-step explanation:
that's the most games you can play!!
hope that helps
People attending a football game either supported the home team or the visiting team. If 714 of the people attending supported the home team and 2686 supported the visiting team, what percentage supported the home team?
Answer:
21%
Step-by-step explanation:
First find the whole, the total number of attendees:
714 \text{ home} + 2686 \text{ visiting} = \color{orange}{3400} \text{ total attendees}
714 home+2686 visiting=3400 total attendees
Method 1: Set up a proportion
Set up an equation of the form:
\frac{\color{red}{\text{part}}}{\color{orange}{\text{whole}}}=
whole
part
=
\,\,\frac{\color{blue}{\text{percent}}}{100}
100
percent
Assign the variable xx to the unknown value:
\color{blue}{x}=
x=
\,\,\color{blue}{\text{percent}}
percent
The question asks what \textit{percent}percent of all the attendees is 714
Substitute the known values with the numbers given in the problem, and the unknown value with xx:
\frac{\color{red}{714}}{\color{orange}{3400}}=
3400
714
=
\,\,\frac{\color{blue}{x}}{100}
100
x
Solve for xx:
100\cdot\color{red}{714}=
100⋅714=
\,\,\color{orange}{3400}\cdot\color{blue}{x}
3400⋅x
Cross multiply
\frac{71400}{3400}=
3400
71400
=
\,\,\frac{3400x}{3400}
3400
3400x
Divide both sides by 100
\color{blue}{21\%}=
21%=
\,\,\color{blue}{x}
x
Simplify
Method 2: Find percent directly
\text{Find \(714\) out of \(3400\) as a decimal:}
Find 714 out of 3400 as a decimal:
\frac{\color{red}{714}}{\color{orange}{3400}}=
3400
714
=
\,\,0.21
0.21
\text{Convert decimal to percent:}
Convert decimal to percent:
0.21\times100=
0.21×100=
\,\,\color{blue}{21\%}
21%
What is 4×2 to the power of 2-2×2 to the power of two
Answer:
1/4096
Step-by-step explanation:
[tex](4*2)^{{(2-2*2)}^2}\\\\=8^{-2^2}\\\\=[\frac{1}{64}]^2\\\\=\frac{1}{4096}[/tex]
you work from bottom to top
can you answer this
Answer:
More than likely it looks like a right angle or 90 degrees so the answer is mostly 51.
Step-by-step explanation:
90 - 39 = 51
Solve each system by substitution.
9) y = 5x – 22
y= 4x - 17
11) -2x – 10 y = 26
x + 5y =-13
Answer:
y is 3 and x is 5 2.)many solutions
Step-by-step explanation:
Qui peut me donner les reponse svp
Answer:
i dont understand spanish im so sorry
Step-by-step explanation:
find the product of the following monomial
x^n * x^2
Answer:
x^(n+2)
Step-by-step explanation:
When multiplying two monomials with the same base but different exponents,
under the multiplication rule of exponents,
the product becomes the base number to the power of the sum of the exponents.
For example:
[tex]a^2 + a^1 = a^(1+2)[/tex]
Therefore, since x^n and x^2 both have x as their bases,
the product becomes x^(n + 2)
SLOT
The population of a certain bacteria varies directly with the temperature. When the temperature is 35 degrees Celsius, there are 7 million bacteria. How many
millions of bacteria are there when the temperature is 38 degrees celcius?
(Just write the number that you get as your answer)
Answer:
Step-by-step explanation:
Had the answer put don't remember
NEED ANSWER ASAP PLEASE TYSM
Answer:
1
Step-by-step explanation:
the answer to this question is 1, you need to multiply all sides together to get the volume (5/4)(4/3)(3/5) is one
hopefully this is right
A Russian blue kitten costs $150 more than Manx kitten 9 blue kittens and 8 Manx kittens costs. Total of 14,100 write down a algebraic equation in the simplest form
Answer:
The equations 9x+8y=14100 and x = y+150 are in the simplest form.
Step-by-step explanation:
Given that:
Russian blue kitten costs $150 more than Manx kitten.
Cost of 9 blue kittens and 8 Manx kittens = $14100
Let,
x be the price of one Russian blue kitten.
y be the price of one Manx kitten.
According to given statement;
9x+8y=14100
x = y+150
Hence,
The equations 9x+8y=14100 and x = y+150 are in the simplest form.
pls help me with this question....
Section 1
Answers:
1.6962 = 1.70 to 2 d.p. 0.007395 = 0.007 to 3 d.p. 0.4247 = 0.425 to 3 d.p. 0.007395 = 0.0074 to 4 d.p.-----------------------------
Explanation:
The abbreviation d.p. means decimal places
When rounding to 2 decimal places, we look at the digit in the third decimal place value slot (thousandths place). If the value is 5 or larger, then we round up. In the case of 1.6962, the second 6 tells us to round 1.69 up to 1.70
Something like 0.4247 does not round up because that second 4 is not 5 or larger. So we just are left with 0.42
The same logic applies to three decimal places, but you'll look in the fourth slot this time.
===================================================
Section 2
Answers:
32549 = 32500 to 3 s.f. 909520 = [tex]91\overline{0}000[/tex] to 3 s.f. (note the overline bar) 32549 = 32550 to 4 s.f. 909520 = 909500 to 4 s.f.-----------------------------
Explanation:
Recall that for a number like 32500, the 0s are not significant. This is because we can write that as 3.25 * 10^4 to convey the same idea. The only significant figures are 3, 2 and 5.
So when rounding 32549 to 3 sig figs, we just pick on the three left most values, and the rest go to 0. The 325 does not round up to 326 because the '4' isn't 5 or larger. Put another way: 32549 is closer to 32500 than it is to 32600
When rounding 909520 to three sig figs, it turns into [tex]91\overline{0}000[/tex]. The line over the first '0' tells us that zero is significant. Without this bar, the zero would be considered not to be significant. The 9095 is closer to 9100 than it is to 9000, so that's why we rounded up.
HELP I GIVE POINTS FOR THIS and brainliest Use the recursive formula f(n) = 0.4 ⋅ f(n − 1) + 11 to determine the 2nd term if f(1) = 4.
Answer:
The second term is 12.6
Step-by-step explanation:
Let us solve the question
∵ The recursive formula f(n) = 0.4 ⋅ f(n − 1) + 11
∵ f(1) = 4
→ To find the 2nd term, sunstitute n by 2
∵ n = 2
∴ f(2) = 0.4 · f(2 - 1) + 11
∴ f(2) = 0.4 · f(1) + 11
→ Substitute f(1) by 4
∵ f(2) = 0.4 · 4 + 11
→ Simplify the formula
∴ f(2) = 1.6 + 11
∴ f(2) = 12.6
∴ The second term is 12.6
Find the determinant of the following matrix. [1 -2] [3 4]
Answer:
10
Step-by-step explanation:
[1 -2]
[3 4]
We can obtain the determinant of the above matrix by doing the following:
Determinant =(1 × 4) – (3 × –2)
Determinant = 4 – – 6
Determinant = 4 + 6
Determinant = 10
Thus, the determinant of the above matrix is 10
A cheetah ran 196 meters in 8 seconds. Select the TWO correct statements that are true if the cheetah runs at a constant rate.
. The cheetah ran 125 meters in 6 seconds.
. After 10 seconds, the cheetah will have run 245 meters.
. The cheetah ran 24.5 meters per second.
. It took the cheetah 5 seconds to run 125 meters.
Answer:
Step-by-step explanation:
Answers C, D are correct
TBh i really don't know about B because i also think its B but i'm not really that sure but it could be a possibility\
If a cheetah ran 196m is 8 seconds, then 196/8 = 24.5 meters per second.
Let’s verify all answers:
A) 24.5 x 6 = 147. 147m are ran in 6 seconds, not 125.
B) 24.5 x 10 = 245. This answer is correct!
C) We’ve establishes that a Cheetah ran 24.5 meters per second. Correct!
D) Since one minute equals 60 seconds, 24.5 x 60 = 1470. Correct!
E) 24.5 x 5 = 122.5. In this time frame, a cheetah wouldn’t run 125m.
Heather paid $2,022.30 for a computer. If the price paid includes a 7% sales tax, which of the following equations can be used to determine the price of the computer after tax? (Let x represent the cost of the computer and y represent the total cost after tax.)
Answer:
The equation should be
2,022.30 x .07= x
X+2022.30= final sale price
Step-by-step explanation:
Show two methods for finding the quotient :
3/8 divided by 3/4
Answer:
Here's one :)
3 x 4= 12 = 1
8 x 3= 24 = 2
-by-step explanation:
The two methods of finding the quotient are flipping the divisor and then multiplying and the second one is converting the fractions into decimals and dividing them.
What are fractions?Fractions describe the part of something present out of the total amount
We know that the result of diving a fraction by a fraction is the same as multiplying that fraction by the reciprocal of the divisor.
∴ (3/8) ÷ (3/4) is,
= (3/8) × (4/3).
= 4/8.
= 1/2.
The second method is converting the fractions into decimals and then dividing them in a conventional way.
3/8 = 0.375 and 3/4 = 0.75.
∴ 0.375 ÷ 0.75 is,
= 0.5.
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Tell whether the sequence is arithmetic if it is identify the common difference. -7, -3, 1, 5
Step-by-step explanation:
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
d=-7+3=-3-1=1-5=-4
so it is an arithmetic sequence
hope it helps