Answer:
Hey there!
12^2+5^2=c^2
144+25=c^2
c=13
Let me know if this helps :)
Answer:
[tex]\Large \boxed{\mathrm{D) \ 13}}[/tex]
Step-by-step explanation:
[tex]\sf We \ can \ apply \ Pythagorean \ theorem.[/tex]
[tex]c=\sqrt{a^2 +b^2 }[/tex]
[tex]\sf Plug \ in \ the \ values.[/tex]
[tex]c=\sqrt{5^2 +12^2 }[/tex]
[tex]\sf Evaluate.[/tex]
[tex]c=\sqrt{25+144}[/tex]
[tex]c=\sqrt{169}[/tex]
[tex]c=13[/tex]
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]
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
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
Convert 5280 vodas to pivos. Show three significant figures for your answer.
1 pivo = 3.1416 molokos
1 moloko = 2.71828 vodas
(5280 vodas) * (1/2.71828 moloko/voda) * (1/3.1416 pivo/moloko) ≈ 618 pivos
(because 5280 has 3 significant digits)
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
A laptop battery has 81% power after 1 hour of use and 24% after 4 hours use. What is the slope?
Answer:
Step-by-step explanation:
If A laptop battery has 81% power after 1 hour of use
It looses 19 % of its energy in one hour.
The difference between 81% and 24% is 57%
The slope of the line of rate of decrease of battery percentage is 19% per hour.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is
y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or the rate of change is large.
We know slope(m) of a line = (y₂ - y₁)/(x₂ - x₁).
The problem can be constructed as having two points (1, 81) and (4, 24).
∴ Slope(m) = (24 - 81)/(4 - 1).
Slope(m) = - 57/3.
Slope(m) = - 19.
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How do you figure out the answer to this sum ???20x48
Answer:
Step-by-step explanation:
20
×48
-------
160
800
---------
960
Hope this helps
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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
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
The amount of clay students used for their last art project is weighed. The line plot displays the amounts of clay. How much more clay did the students who used of a pound use than the students who used of a pound?
Answer:
C. 2 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
First, calculate the amount of clay that both groups used in total. We can find this by multiplying the amount by the number of students.
Used 3/4 of a pound:
3/4(4) = 3 pounds
Used 1/4 of a pound:
1/4(3) = 3/4 pound
Now, subtract:
3 - 3/4 = 2 and 1/4
Answer
i got it right
C. 2
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 :)
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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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 ;-)Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each value to the correct expression.
Answer:
(1+5*2+(1+3))2=27
0.25*43-1=15
4+8(1/4+2)=22
Step-by-step explanation:
I used a scientific calculator ;)
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%
Will has 2 quarters, 6 dimes, some nickels, and 4 pennies. If the ratio of pennies to the total number of coins he has is 1:5, how many nickels are there?
Answer:
8 nickels
Step-by-step explanation:
Let n be the number of nickels.
4: (2+ 6 + 4 + n) = 1:5
4÷(12 + n) = 1÷5
4 x 5 = 1 x (12 + n)
20 = 12 + n
n = 8
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
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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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 )
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
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!
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
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~
Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)^(x-1). Explain how Christina can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $103. Justify your reasoning.
Answer:
→To combine the two functions, you have to multiply them together, like so:
h(x) · s(x)
→This can also be shown as:
[tex](103)(1.03)^x^-^1[/tex]
The reason as to why you would multiply the two functions together, and not add, is because of the words accrues. Based on the information given, the interest amount of money, which is $103, accrues, which basically means that the money will increase in a pattern, over time. In addition, when a world problem involves a bank and money, multiplication is usually occurring.
The total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is g(x) = (103)(1.03)^(x-1).
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function,
[tex]h(x) = 103[/tex]
She reads about a bank that has savings accounts that accrue interest according to the function,
[tex]s(x) = (1.03)^{(x-1)}[/tex]
This function means that the interest amount is 3% in value per year in which x represent the number of years.
Now the total amount of money she will have in her bank account as interest accrues will be equal to the product principal and interest rate.
Let the amount of money she will have in her bank account as interest accrues is represented by function g(x). Thus,
[tex]g(x) = (103)(1.03)^{(x-1)}[/tex]
Thus, the total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is.
[tex]g(x) = (103)(1.03)^{(x-1)}.[/tex]
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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
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
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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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:
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
he blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.3 and a standard deviation of 60.7. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 65.2 and 429.4
Answer:
The approximate percentage of women with platelet counts within 3 standard deviations of the mean is 99.7%.
Step-by-step explanation:
We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.3 and a standard deviation of 60.7.
Let X = the blood platelet counts of a group of women
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 247.3
[tex]\sigma[/tex] = standard deviation = 60.7
Now, according to the empirical rule;
68% of the data values lie within one standard deviation of the mean.95% of the data values lie within two standard deviations of the mean.99.7% of the data values lie within three standard deviations of the mean.Since it is stated that we have to calculate the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 65.2 and 429.4, i.e;
z-score for 65.2 = [tex]\frac{X-\mu}{\sigma}[/tex]
= [tex]\frac{65.2-247.3}{60.7}[/tex] = -3
z-score for 429.4 = [tex]\frac{X-\mu}{\sigma}[/tex]
= [tex]\frac{429.4-247.3}{60.7}[/tex] = 3
So, it means that the approximate percentage of women with platelet counts within 3 standard deviations of the mean is 99.7%.