find the sum of the arithmetic progression (AP) 1,3,5,...,101.
Answer:
दवणडतडडथवणतणलतवलडथलडद
Answer:
2,601
Step-by-step explanation:
the sum of AP = 51/2 × (1+101)
= 51/2 × 101 = 2,601
What is the length of the hypotenuse of the right triangle? Enter your answer in the box.
image
Answer:
10 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be hypotenuse, then
h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
h = [tex]\sqrt{100}[/tex] = 10
The hypotenuse is 10 ft
Answer:
the answer is 10 but you can ask your friends too
Step-by-step explanation:
h=p2+b2
root under 8 square +6 sqaure
root under 64±36
root Under 100
equals 10
i uses to learn like this but I'm not sure
solve 32*25/80 using the power and exponents law
Answer:
the answer is 10 the power of one or 10
help help help help pls
Answer:
The length of AB is approximately 6.07 m
Step-by-step explanation:
The given dimensions of the triangle are;
The value of x = 7.7 m
The measure of angle, θ = 52°
The length of side AB = Required
The given triangle ΔABC is a right triangle, with the following sides;
AC = x = The hypotenuse (opposite to right angle) side
(Leg) AB = The opposite side to the reference angle, θ
(Leg) BC = The adjacent side to the reference angle, θ
By trigonometric ratio, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]
Therefore;
[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]
AB = 7.7 × sin(52°) ≈ 6.07
The length of AB ≈ 6.07 m.
Which is NOT an example of continuous data?
A)
time it takes to cut the grass
B)
Lifetime (in hours) of a flashlight battery
C)
weights of dogs in animal shelter
D)
number of cheeseburgers sold yesterday at a drive-thru
Answer:
Solution
Height is not an example of a continuous variable.
D) The number of cheeseburgers sold yesterday at a drive-thru is not an example of continuous data.
Here, we have,
Continuous data refers to numerical data that can take on any value within a certain range or interval. It typically involves measurements or quantities that can be expressed as real numbers.
A) The time it takes to cut the grass can be measured in minutes or seconds, and it can take on any value within a range. This is an example of continuous data.
B) The lifetime (in hours) of a flashlight battery is a continuous variable. It can take on any value within a range, such as 5.3 hours, 10.7 hours, or any decimal or fractional value.
C) The weights of dogs in an animal shelter can be measured in pounds or kilograms and can take on any value within a range. This is also an example of continuous data.
D) The number of cheeseburgers sold yesterday at a drive-thru is a discrete variable. It represents a count or a whole number, such as 50 cheeseburgers, 100 cheeseburgers, etc. Discrete data involves distinct values and is not continuous.
Therefore, option D is not an example of continuous data.
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The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the
measure of the smallest angle?
Answer:
Step-by-step explanation:
27 degrees
The standard unit of mass is the : A.gram B.kilogram C.pound D.cubic centimeter
Answer:
kilogram
Step-by-step explanation:
Two miles away from home, she had to walk the remaining four miles. She had to walk all the way back home. How many more miles did she walk than she rode?
Answer:
Distance rode = 6 miles
Step-by-step explanation:
distance from home = 2 miles
remaining distance = 4 miles
The distance rode = 4 + 2 = 6 miles
How to solve for "Find the equation of the line that is perpendicular to y = -2/3x and contains point (4,-8)" ?
Answer:
[tex]y=\frac{3}{2}x+(-14)[/tex]
Step-by-step explanation:
Equation of a line has been given as,
[tex]y=-\frac{2}{3}x[/tex] --------(1)
Slope of the line is,
[tex]m_1=-\frac{2}{3}[/tex]
By the property of perpendicular lines,
If the two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular to each other, [tex]m_1\times m_2=-1[/tex]
Therefore, slope of the line perpendicular to the line (1) will be,
[tex]-\frac{2}{3}\times m_2=-1[/tex]
[tex]m_2=\frac{3}{2}[/tex]
If this line passes through a point (4, -8) equation of the line will be,
[tex]y-y'=m_2(x-x')[/tex]
[tex]y+8=\frac{3}{2}(x-4)[/tex]
[tex]y=\frac{3}{2}x-6-8[/tex]
[tex]y=\frac{3}{2}x-14[/tex]
find the surface area of this figure.
Answer:
148 ft2
Step-by-step explanation:
2×(6×4 + 6×5 + 4×5) = 148 ft2
Plz solve this question
Show the steps you need to take to solve it.
Answer:
V = 378y³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsGeometry
Volume of a Rectangular Prism: V = lwh
l is lengthw is widthh is heightStep-by-step explanation:
Step 1: Define
Identify variables
l = 9y
w = 7y
h = 6y
Step 2: Find Volume
Substitute in variables [Volume of a Rectangular Prism]: V = (9y)(7y)(6y)Multiply: V = (63y²)(6y)Multiply: V = 378y³___________________________________
Problem:What is the volume of this rectangular prism?Formula for volume (v):[tex]\quad\quad\quad\quad \boxed{\tt{v = lwh}}[/tex]
Given that:[tex]\quad\quad\quad\quad\tt{length (l)= 9y}[/tex]
[tex]\quad\quad\quad\quad\tt{width(w)= 7y}[/tex]
[tex]\quad\quad\quad\quad\tt{height(h)= 6y}[/tex]
Solution:[tex]\quad\quad\quad\quad\tt{v = lwh}[/tex]
[tex]\quad\quad\quad\quad\tt{v = (9y)(7y)(6y)}[/tex]
[tex]\quad\quad\quad\quad\tt{v = (9y)(42 {y}^{2}) }[/tex]
[tex]\quad\quad\quad\quad \underline{\tt{v = 378 {y}^{3} }}[/tex]
Hence, the final answer is:[tex]\quad\quad\quad\quad \underline { \boxed{\tt{ \color{magenta}v = 378 {y}^{3} }}}[/tex]
___________________________________
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✍︎ C.Rose❀
Suppose you are in fort Simpson, northwest territories. Find the GST on each item. a) a digital camera that costs $89.97 b) a cordless phone that costs $24.97 c) a soccer ball that costs $17.99
Answer:
Step-by-step explanation:
j
Peter's favorite lunch is a turkey sandwich with carrot sticks. Last week, he bought 1.68 pounds of turkey and split it evenly among 7 sandwiches. How much turkey did Peter use for each sandwich?
find the solutions of the following linear equation 4 x minus 4 upon 2 = 3 upon 2
(when u solved it, can u show me how you got the answer because my teacher wants us the show the work as well)
ty
What is the highest common factor of 65 and 56?
What is the base in 2^8 *
Answer:
For a single digit in base 8, we need up to three digits in base 2. For two digits in base 8, we need 4, 5, or 6 digits in base 2. For three digits in base 8, we need 7, 8, or 9 digits in base 2.
Step-by-step explanation:
Answer:
Base = 2
Step-by-step explanation:
2⁸
Here 2 is the base and 8 is the exponent
given that 2p-q = r + s then q=
Answer:
q = 2p - r - s
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
2p - q = r + s
Step 2: Solve for q
[Subtraction Property of Equality] Subtract 2p on both sides: -q = r + s - 2p[Division Property of Equality] Divide negative on both sides: q = -(r + s - 2p)[Distributive Property] Distribute negative: q = 2p - r - sGiven the first three terms of a linear sequence: 3x – 2;x+9; 2x + 5 Determine the value of x.
Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
Answer:
x = 5
Step-by-step explanation:
Each new term is 1 greater than the previous term. Therefore:
x + 9 = (3x - 2) + 1 Equivalent to x + 9 = 3x - 2 + 1, or:
9 + 2 - 1 = 2x, or 2x = 10
Thus, x = 5
Check by substituting 5 for x as indicated:
3x - 2 becomes 13 (which means the next term must be 14)
x + 9 becomes 14, and
2x + 5 becomes 15
and these consecutive sequence terms are {13, 14, 15}
what is the percent of decrease from 300 to 50?
URGENT!!!!!!!!!
The percentage reduction can be written as 16.6667% of 300. 83.3333 percent decrease (%↓) or reduction from 300 is 50.
Answer:
83.33%
Step-by-step explanation:
300-50=250
250/300=83.33%
please help me! i need this to pass!
Answer:
option E, C
Step-by-step explanation:
From the graph we will find the equation of g(x).
g(x) is a parabola with vertex ( h, k) = ( 0, 9)
Standard equation of parabola is , y = a (x - h)² + k
y = a (x - 0)² + 9
y = ax² + 9 ---------- ( 1 )
Now we have to find a .
To find a we will take another point through which the parabola passes .
Let it be ( 3, 0).
Substitute ( 3 , 0 ) in ( 1 ) => 0 = a (3 )² + 9
=> - 9 = 9a
=> a = - 1
Substitute a = - 1 in ( 1 ) => y = -1 x² + 9
=> y = - x² + 9
Therefore , g(x) = -x² + 9
Now using the table we will find h(x)
[tex]h(x) = 4^{x}[/tex]
So g(x) = -x² + 9 and [tex]h(x) = 4^{x}[/tex]
Option A : both function increases on ( 0, ∞ ) - False
[tex]\lim_{x \to \infty} g(x) = \lim_{x \to \infty} -x^2 + 9[/tex]
[tex]= - \lim_{x\to \infty} x^2 + \lim_{x \to \infty} 9\\\\= - \infty + 9\\\\=- \infty[/tex]
g(x) decreases on ( 0 , ∞)
[tex]\lim_{x\to \infty} h(x) = \lim_{x \to \infty} 4^{x}[/tex]
[tex]= \infty[/tex]
h(x) increases on ( 0, ∞)
option B : g(x) increasing on (- ∞, 0) - False
g(x) = -x² + 9
g( -2 ) = - (-2)² + 9
= - 4 + 9 = 5
g ( -5) = - ( -5)² + 9
= - 25 + 9 = - 14
As the value of x moves towards - ∞ , g(x) moves towards - ∞
Therefore g(x) decreases on (- ∞, 0)
Option C: y intercept of g(x) is greater than h(x) - True
y intercept of g(x) = ( 0 , 9 )
y intercept of h(x) = ( 0 , 1 )
Option D : h(x) is a linear function - False
Option E : g(2) < h(2) - True
g(x) = -x² + 9
g(2) = -(2)² + 9 = - 4 + 9 = 5
h(x) = 4ˣ
h(2) = 4² = 16
Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
The discount on a toy is 40% the toy robot is on sale for $54 find the original price
Answer:
The original price is $90.
Step-by-step explanation:
100% - 40% = 60%
[tex]\frac{54}{y} :\frac{60}{100}[/tex]
y × 60 = 54 × 100
60y = 5400
60y ÷ 60 = 5400 ÷ 60
y = 90
Answer:
90
Step-by-step explanation:
If the discount is 40%, we are still paying 100-40% or 60 %
original price * 60% = sale price
original price * .6 = 54
Divide each side by .6
original price = 54/.6
original price =90
Find the discriminant and the number of real roots for this equation. x^2 + 2x + 8 = 0
A. -28; no real roots B. 32; one real root C. 32; two real roots D.-28; one real roof
Step-by-step explanation:
A is correct option there are no real roots
because discriminant is less than zero
Put these numbers in order from least to greatest.
9.5,9 3/10, and 9.9
Find the surface area of the triangular prism. ______ square centimeters
Step-by-step explanation:
there is answer in the image above
2 1/4 X 1 2/3 x 1/6
calculate and write as a mixed number
will mark brainliest
Step-by-step explanation:
everything can be found in the picture
plz halp im a pabo and cant solve it
Answer:
the surface area of cylinder is 75.36 inches²
hope it helps
have a nice day
Answer:
SA = 75.36
Step-by-step explanation:
So, you use the formula and replace the letters with the values.
SA = 2*3.14*2^2+2*3.14*2*4
SA = 25.12+ 50.24
SA = 75.36
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?
Answer:
3.16666667 tons
Step-by-step explanation:
hope this helps have a good evening
The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a
vehicle, s. At a speed of 68 miles per hour, the trip will be complete in 15 hours. What would the
speed of the car have to be to complete the trip in 17 hours?
Answer:
x = 60
Step-by-step explanation:
t = [tex]\frac{k}{x}[/tex]
15 = k/68
k=1020
~~~~~~~~~~~
17 = 1020/x
x = 1020/17
x = 60
The speed of car must be 60mile/hour, so that the trip will complete in 17 hours.
What is speed?The rate of change of position of an object in any direction is called speed.
How do you calculate speed when distance and time is given?[tex]speed = \frac{distance}{time}[/tex]
According to the given question
At a speed of 68 miles per hour, the trip will be complete in 15 hours.
⇒ Total distance covered in 15 hours = 68 × 15 = 1,020 miles
( because, distance = speed × time)
Therefore, the speed of car to complete the trip in 17 hours
= [tex]\frac{1020}{17} =60miles/hr[/tex]
Hence, the speed of car must be 60mile/hour, so that the trip will complete in 17 hours.
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