Answer:
343
Step-by-step explanation:
7^3 =
7*7*7
343
Tom finished reading 3/7 of a book in the first week, and he read 3/4 of the remainder in the second week. what fraction is left?
Answer:
1/7 is left
Step-by-step explanation:
What is left to read after the first week
1 - 3/7
7/7 - 3/7
4/7
He read 3/4 of this the second week
4/7 * 3/4
3/7 was read
4/7 - 3/7 is what is left
1/7 is left
Answer:
The correct answer is
Step-by-step explanation:
1/7 of the book is left to read.
Hope this helps....
Have a nice day!!!!
Select the equivalent expression.
C, because we multiply the exponents to get the answer.
Answer:
C
Step-by-step explanation:
Using the rule of exponents
[tex](a^{m}b^{n}) ^{p}[/tex] = [tex]a^{mp}[/tex] × [tex]a^{np}[/tex]
Thus
[tex](7^{2}5^{6})^4[/tex]
= [tex]7^{2.4}[/tex] × [tex]5^{6.4}[/tex]
= [tex]7^{8}[/tex] × [tex]5^{24}[/tex] → C
For each of the following expressions, decide whether it is a polynomial. Explain your answer.
1. x2+3x12 I
2. 13x2y-9y2
3. 3x-3
4. 23t2-1t2
Answer:
Add the like terms:
8x2+x2=9x2
-9y2-3y2=-12y2
-4x-7x=-11x
Combine each term:
9x2-12y2-11x
Hope this helps!!
Step-by-step explanation:
Hope This Helps man
Suppose that the cost of renting a snowmobile is $37.50 for 5 hours.
a. If c represents the cost and ݄ represents the hours, which variable is the dependent variable?
b. What would be the cost of renting 2 snowmobiles for 5 hours? please and thanks ( i"ll give brainiest )
What collateral secures a mortgage?
O A.
5% of the purchase price of the house
B.
the house itself
C.
10% of the purchase price of the house
D.
none
Answer:
The House
Step-by-step explanation:
(t)What is the difference between
{2, 3} and {{2, 3}}?
Answer:
[tex]\boxed{\mathrm{view \ explanation}}[/tex]
Step-by-step explanation:
{2, 3} is a set consisting of two elements. The two elements are the numbers 2 and 3.
{{2, 3}} is a set consisting of one element. That one element is the set {2, 3}.
I WILL GIVE U BRAINLIST AND A THANK YOU PLS ANDWER!!!!!!!!!
Answer:
yes it is proportional because you don't buy the popcorn
Answer:
A. Yes.
Step-by-step explanation:
Since you never buy popcorn, the only thing you buy are movie tickets. The only thing contributing to the total price are the movie tickets, so the total price is proportional to the number of movie tickets purchased.
Hope this helps!
What is the (10) for?
Answer:
2(10) is implied multiplication
Step-by-step explanation:
( 18+2) + 2(10) ÷4 -2
PEMDAS
Parentheses first
( 20) + 2(10) ÷4 -2
Then exponents ( we have none)
Then multiply and divide from left to right
20 + 20÷4 -2
20 + 5-2
Then add and subtract from left to right
25 -2
23
2(10) is implied multiplication
Answer:
23
Step-by-step equation
(18+2)+2(10)÷4-2
20+20÷4-2
20+5-2
25-2
23
Find the area of the shaded region
A. 12 ft^2
B. 36 ft^2
C. 40.5 ft^2
D. 18 ft^2
Answer:
The shaded area is 18 ft^2
Step-by-step explanation:
First find the area of the total trapezoid
A = bh
A = 1/2 ( b1+b2) *h
= 1/2 ( 6+12) *6
= 1/2 ( 18)*6
=54
Now find the area of the triangle
A = 1/2 bh
= 1/2 ( 12) * 6
= 36
Subtract the triangle from the trapezoid
54-36
18
The shaded area is 18 ft^2
Answer:
D. 18 sq.ft
Step-by-step explanation:
Lets make it simple and short.
Area of a triangle is 1/2 b h
b = 6
h = 6
Area = 1/2 * 6 * 6
Area = 18 sq.ft
If 1 and -1 are the zeroes of the polynomial p(x) = ax 3 + x 2 − 2x + b, find the values of a and b
Answer:
a = 2, b = -1Step-by-step explanation:
p(x) = ax³ + x² - 2x + b
p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1
a + b - 1 = 0 ⇒ b = 1 - a
p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3
- a + b + 3 = 0 ∧ b = 1 - a
- a + (1 - a) + 3 = 0
- a + 1 - a + 3 = 0
-2a + 4 = 0
-2a = -4
a = 2
b = 1 - 2 = -1
If EH = 80, calculate GF.
Answer:
The length of Segment GF is 120
Step-by-step explanation:
Given that EH = 80, and AB, GF, RH, and DI are parallel lines, we have;
DC ≅ DE ≅ EF ≅ FA Given
Therefore, CI ≅ HI ≅HG ≅ GB (Triangle proportionality theorem)
From where we have;
EH/GF =CH/CG (Intercept theorem otherwise known as Thales' theorem )
CH = 2 × CI (Transitive property of equality)
Also CG = 3 × CI (Transitive property of equality)
EH/GF = 2×CI/(3×CI) = 2/3
EH/GF = 2/3
80/GF = 2/3
Therefore we have;
Segment GF = 80 × 3/2 = 120
The length of Segment GF = 120.
120 U-U
Mostly cuz i looked it up and i am not explaining it cuz i dont wanna
Find the distance of (2,5) and (-1,3)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Use the distance formula:
[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Insert the values:
[tex](2_{x1},5_{y1})\\\\(-1_{x1},3_{y2})\\\\\\sqrt{(-1-2)^2+(3-5)^2}[/tex]
Simplify:
[tex]\sqrt{(-1-2)^2+(3-5)^2}\\\\ \sqrt{(-3)^2+(-2)^2}\\\\ \sqrt{9+4}\\\\\sqrt{13}[/tex]
The distance between the two points is the square root of 13.
:Done
Answer: [tex]\sqrt{13}[/tex] or 3.61
Step-by-step explanation:
[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}[/tex]
[tex]\sqrt{9+4}[/tex]
[tex]=\sqrt{13}[/tex]
write -7.08 as a mixed number or fraction in a simplest from
Answer:
7 2/5
Step-by-step explanation:
7.08 to improper fraction:
708/100
= 7 2/25
What is the method called on #3
Answer:
an algorithm method just means a step by step procedure which in this case its means decimal subtraction in number 3.
Step-by-step explanation:
i hope this helps :)
An isosceles triangle has a vertex angle of 26°. Two sides of the triangle are each 15 ft long. Find the area of the triangle. A. 9.931 sq ft B. 98.629 sq ft C. 45.543 sq ft D. 49.314 sq ft
Answer:
D. 49.314 ft²
Step-by-step explanation:
Area = 1/2 s² sinФ
= 1/2 * 15² * sin(26)
= 49.314 ft²
Find all values of $x$ such that $3x^2 + 16x + 5=0$. If you find more than one value, then list your solutions, separated by commas.
answer
x = {-5, -⅓}
explanation
[tex]3 {x}^{2} + 16x + 5 = 0[/tex]
[tex]3 {x}^{2} + 15x + x + 5 = 0[/tex]
[tex]3x(x + 5) + 1(x + 5) = 0[/tex]
[tex](x + 5)(3x + 1) = 0[/tex]
[tex]x = - 5 \: or \: - \frac{1}{3} [/tex]
[tex]x = \{ - 5 \: , - \frac{1}{3} \}[/tex]
HOPE IT HELPS...
BRAINLIEST PLEASE ;-)How do you figure out the answer to this sum ???20x48
Answer:
Step-by-step explanation:
20
×48
-------
160
800
---------
960
Hope this helps
plz mark as brainliest!!!!!!!
Answer:
960Step-by-step explanation:
20×48 =
= 20×(40+8) =
= 20×40 + 20×8 =
= 2×4×100 + 2×8×10 =
= 800 + 160 =
= 960
Or:
20×48 = 2×48×10 = 96×10 = 960
Find the slope of the line passing through the points (-9, -3) and (7,-7).
DI
DD
Undefined
$
?
Answer:
-1/4
Step-by-step explanation:
Slope = y/x - y1/x1
=> -7/7 - (-3/-9)
=> -7 +3 / 7+9
=> -4/16
=> -1/4
The slope for the given coordinates of points is -1/4.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given points are (-9, -3) and (7,-7).
The general expression to find the slope for two points (x₁, y₁) and (x₂, y₂) is given as,
m = (y₁ - y₂)/(x₁ - x₂)
Plug (x₁, y₁) = (-9, -3) and (x₂, y₂) = (7, -7) to get,
⇒ m = (-3 + 7)/(-9 - 7)
⇒ -1/4
Hence, the slope is obtained as -1/4.
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When a number is divided by 9 and its quotient is 12 and a remainder of 2
Answer:
Step-by-step explanation:
_____ / 9
2/12
Multiply the divisor (9) by the quotient (12) and to the result add the remainder (2).
9 × 12 + 2 =
108 + 2 = 110
110 is the number divided.
110/9
20/12
2
Solve y=x2-5 for x.
The graph of y=x^2 - 2x- 3 is shown above. What are the zeros and factors of y=x^2 - 2x -3
A. X=1 and x = -3;(x-1)(x+3)
B. X=-1 and x = -3;(x+1)(x+3)
C. X=1 and x = -3;(x-1)(x-3)
D. X=-1 and x = -3;(x+1)(x-3)
Answer:
zeros -1,3 and the factors ( x+1) (x-3)
Step-by-step explanation:
The zeros are where it crosses the x axis
It crosses at x=-1 and x=3
So the factors are ( x- -1) and ( x-3)
( x+1) (x-3)
Answer:
[tex]\boxed{x = -1, \ x = 3 \ \ ( x+1) (x-3)}[/tex]
Step-by-step explanation:
Zeros of the function:
The zeros of a function is when the y value is 0 or where the function crosses the x-axis.
The function crosses the x-axis at x = -1 and x = 3.
Factors of the function:
[tex]y=x^2 - 2x- 3[/tex]
Factor the right side.
[tex]y=x^2 +1x-3x- 3[/tex]
[tex]y=x(x +1) -3(x+1)[/tex]
Take (x + 1) common.
[tex]y=(x+1)(x-3)[/tex]
The factors are (x + 1) and (x - 3).
Examine the table of input (x) and output (y) values below. What is the relationship between the input and output values? Write an equation for this relationship. input (x) –1 0 1 2 3 4 5 output (y) –4 –1 2 5 8 11 14 What do you notice about the relationship between the x and y values?
Answer:
Relationship: As the input increases by 1, the output increases by 3.
Equation: y=3x-1
~Hope this helps~
2x squared minus 1 equals 21
Answer:
x = √11
Step-by-step explanation:
2x² - 1 = 21
add 1 to both sides
2x² - 1 + 1 = 21 + 1
simplify
2x² = 22
x² = 22 / 2
x = √11
Answer:
x = √11
Step-by-step explanation
2x² - 1 = 21
negative sign crossing an equal to sign becomes a positive sign
2x² - 1 = 21 + 1
2x² = 22
x² = 22 / 2
x = √11
Can someone please help? the answer is 5/12 but I have no idea how. Please explain the steps!
Answer:
5/12
Step-by-step explanation:
4√y√y / 3√y
The above equation can be simplified as follow:
4√y√y / 3√y
4√y × √y ÷ 3√y
Recall:
√a = a^1/2
m√a = a^1/m
Therefore,
4√y√y ÷ 3√y
y^1/4 × y^1/2 ÷ y^1/3
Recall:
a^m × a^n = a^(m+n)
Therefore,
y^1/4 × y^1/2 ÷ y^1/3
y^(1/4 + 1/2) ÷ y^1/3
y^3/4 ÷ y^1/3
Recall:
a^m ÷ a^n = a^(m–n)
Therefore,
y^3/4 ÷ y^1/3
y^(3/4 – 1/3)
y^5/12
Comparing the above with y^m, we have
y^5/12 = y^m
m = 5/12
Therefore, the value of m is 5/12
5 times the quantity 7 minus a number f in an algebraic expression.
Answer:
(5*7)-f
Step-by-step explanation:
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Algebraic expressionAlgebraic expression is the combination of terms that consists of numbers and variables connected by arithmetic operators.
Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.
We need to write it in an algebraic expression
5 times a quantity. for product we use multiplication sign
For addition we use + sign and for difference we use minus sign .
5 times the quantity 7 means 5 multiplied by 7
[tex]5 \cdot 7[/tex]
5 times the quantity 7 minus a number f
subtract f from the expression we got
[tex]5 \cdot 7 -f[/tex]
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
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23. (a) The area of a rhombus is 90 cm. If the length of a diagonal is 18 cm. calculate the length of the
other diagonal
(b) The diagonals of a rhombus are 28 cm and 24 cm. Find the area of the rhombus.
10) () The height of a trapezium is 12 cm. Find the sum of its parallel sides if its area is 210 cm.
(ii) If the longer side is 2 times the length of the shorter side. find the length of the longer side.
Answer:
Step-by-step explanation:
a) area of rhombus = 1/2 × d1 × d2 = 90cm^2
here d1 and d2 are the diagonals
d1 = 18 cm
1/2 × 18 × d2 = 90
9 × d2 = 90
d2 = 90/9
d2 = 10 cm
∴The length of other diagonal is 10 cm
b) d1 = 28 cm
d2 = 24 cm
area = 1/2 × d1 × d2
= 1/2 × 28 × 24
= 336 cm^2
∴ The are of the rhombus = 336 cm^2
Hope this helps
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Which number is equal to 10^-3?
-1,000
-30
0.001
0.003
Work Shown:
10^(-3) = 1/( 10^3 ) = 1/1000 = 0.001
The rule used here is x^(-k) = 1/( x^k )
Answer:
C. O.001
Step-by-step explanation:
10^-3 = (1)/(10^3)
move the negative exponent to the denominator
(1)/(1000)
simplify 10^3 in the denominator
(1)/(1000) = 0.001
At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 16 computer chips is taken. What is the probability of thesample mean
THIS IS COMPLETE QUESTION
computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.2 centimeters. A random sample of 16 computer chip is taken. What is the probability that the sample mean will be below 0.95?
Answer:
the probability is P=0.045
Step-by-step explanation:
We were given mean of computer chips as 1 centimeter and a standard deviation of 0.1 centimeter
We were given
σ=0.1
n=16
We calculate:
Z=(0.95-1)/0.1 √16
Z=-0.125
Using the standard z- tables. to get the probability we have
P(X<0.95)=P(z<-0.115)=0.045
Therefore, probability is P=0.045
67) Interest on a Loan: Jeff Hubbard borrowed $800 from his brother for 2 years. At the end of 2 years, he repaid
the $800 plus $128 in interest. What simple interest rate did he pay?
Answer:
0.08%
Step-by-step explanation:
2 years,
the $800 plus $128 in interest. What simple interest rate did he pay?
128/2
$64 a year
64/800=0.08
so 0.08%
please help :) Write the number shown in standard notation. 6.94 x 10 to the 6 power A. 694 B. 6,940,000 C. 694,000,000 D. 694,000
Answer:
B. 6,940,000
Step-by-step explanation:
6.94 x 10^6
Make the number "6.94" as 694.
Since we make this decimal point move 2 places to the right.
We should decrease 2 powers from 10^6
=> 694 x 10^4
=> 694 x 10000
=> 6,940,000
So, the answer is B