Answer:
a = 6
Step-by-step explanation:
Given:
[tex]-8 + \sqrt{5a-5} = -3[/tex]
Assuming that the goal is to solve for a, we should aim to isolate a using a backwards process.
First step: add 8 to both sides, resulting in:
[tex]\sqrt{5a-5} = 5[/tex]
Second step: Next we need to square both sides, getting us:
[tex]5a - 5 = 25[/tex]
Third step: We now can add 5 to get an isolated monomial:
[tex]5a = 30[/tex]
Fourth Step: Finally, divide by 5 to get:
[tex]a = 6[/tex]
What is the area???
Answer:
0.833333333 or 83/100 mi squared
Step-by-step explanation:
a = b x h / 2
Answer:
0.333
Step-by-step explanation:
Find the area in square inches of the figure shown.
Answer:
8 * 17 = 136
39 * 36 = 1404
1482 + 136 = 1540
Step-by-step explanation:
The area of the figure is 330 inches²
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the figure be composed of two different right angled triangles
Now , Let the first triangle be ΔABC
Let the second triangle be ΔBCD
Length of first triangle = 36 inches
Base of second triangle = 8 inches
Since the base of the first triangle is equal to the length of the second triangle ,
From the Pythagoras Theorem , The hypotenuse² = base² + height²
On simplifying the equation , we get
base² = hypotenuse² - height²
BC² = 17² - 8²
BC² = 289 - 64
BC² = 225
Taking square roots on both sides , we get
BC = 15 inches
Therefore , the base of the first triangle and the length of the second triangle is 15 inches
Now , to find the area
Total area of figure = Area of first Triangle + Area of second triangle
The area of the triangle = ( 1/2 ) x Length x Base
Total area of figure = ( 1/2 ) x ( 36 x 15 ) + ( 1/2 ) x ( 15 x 8 )
= ( 1/2 ) x 540 + ( 1/2 ) x 120
= 270 + 60
= 330 inches²
Therefore , the value is 330 inches²
Hence , The area of the figure is 330 inches²
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This lesson asked you to investigate what it means for data to fall within 1, 2, and 3 standard deviations from the mean in a variety of normal distribution curves. Imagine that you hold a position on your city council and are in charge of creating new programs to benefit members of your community. In some cases, you must also decide which parts of the population are eligible for enrollment in a given program. How might the concept of standard deviations from the mean be interpreted in your decisions? For example, is it fair to make most programs only available to populations within 1 standard deviation from the mean? Can you imagine cases where you might want to create new programs for people who fall toward the extreme ends of the distribution? Give your opinion as well as some examples.
Answer:
The data in statistics is generally supposed to deviate or vary from the mean. Standard deviations of 1, 2, and 3 are commonly used to calculate variability according to the empirical norm. In a normal distribution, we estimate 68 percent, 95 percent, and 98 percent of the data to be within 1, 2, and 3 standard deviations of the mean, respectively. This implies that the given percentage of data will lie within an interval of less than or greater than the standard deviation. If the values within a given standard deviation from the mean are standardized, the z value will always be equal to or less than the given standard deviation.
We should look at a program that aims to help people get out of poverty by using the standard deviation principle. The aim of the program is to provide free seeds to poor people who have been suffering from low yields due to the use of local seeds. If we use the definition of one standard deviation of the mean, or 2 and 3, we will favor the majority of people, but we will leave the poorest people in society behind.
Plz help me ASAP no bots plz
Answer:
...
Step-by-step explanation:
the vertex is (-1 , 0)
false
true
the domain is R (all real numbers) ( -♾, +♾ )
the range is negative infinity -♾
Simplify the expression
4p−5(p+6)
Please help, thank you :)
Answer:
-p - 30
Step-by-step explanation:
Hope this helps
Answer:
-p-30
Step-by-step explanation:
4p-5(p+6) Distribute -4 to p and 6
4p-5p-30 simplify by adding the p variables
-p-30
Find the area of the figure shown below and choose the appropriate results
A 60 cm
B 66 cm
C 72 cm
D 96 cm
Answer:
sorry if im rong but im prety sure its d
Step-by-step explanation:
Answer:
Step-by-step explanation:
d
Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping. How is the amount of money Michelle spent shopping represented?
A. -45
B. -38
C. 38
D. 45
Answer:
A. -45
Step-by-step explanation:
We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.
Our keyword is "spent" and "fourty-five". Why? Because these determine how much money is being taken away or added.
Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being A. -45
Answer:
-45
Step-by-step explanation:
She uses $45 when she goes shopping so she is reducing her bank balance.
PLZ HELP WILL MARK BRAINLEST
A cylinder has a height of 8 feet and a volume of 628 cubic feet. Find the radius of the cylinder. Use 3.14 for π. Show your work. equation v= 3.14 ( ) ( ) ( )
Answer:
5ft
Step-by-step explanation:
r = √v/πh
plug in known values
r= √628/ (3.14) 8
simplify
r= √628/ 25.12
r= √25
r = 5ft
Mark the relations that ARE functions
{(2,5) (-3, 4) (0,1)}
{(1,1) (2,1) (0, 1) (-8, 1)}
{(3, -2) (9, 1) (3, 5) (9, 3)}
{( 2,5) (0, 3) (-1, 1) (7, 13)}
Answer:
first
second
fourth
Step-by-step explanation:
one domain must only one range
Find the area. Simplify your answer.
Answer:
Area = 6x - 6
Step-by-step explanation:
Given:
Height = 2x - 2
Base = 6
Required:
Area
Solution:
Area of triangle = ½*b*h
Area of the triangle = ½*6*(2x - 2)
Area = 3(2x - 2)
Apply distributive property
Area = 6x - 6
this as well, pleasee!!!
The inner circle circumference is 18 and the outer is 4
Answer:
the big one has a circumstance of 2*pi*9=56.52
the small one 2*pi*7=43.96
difference = 12.56= 4pi
hasann please help me
Answer:
The length and width and height is already given.
Length is: 3 1/2
Width is: 1 1/2
Height is: 2 1/2
The volume of this would be all given lengths multiplied.
Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3
Reduce 65 in ratio 5:2
Answer: [tex]46.42:18.57[/tex]
Step-by-step explanation:
[tex]5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}[/tex]
The solution is 46.42857 : 18.57143
The proportion equation is given by 46.42857 : 18.57143 and
46.42857 + 18.5714365 = 65
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number be represented as N
The value of N = 65
The proportion is 5 : 2
The total value of the ratio = 5 + 2 = 7
So , each value of the proportion is x = 65 / 7
On simplifying the equation , we get
Each value of the proportion is x = 9.2857142857
Now , the proportion equation is given by
The value of 5x = 5 ( 9.2857142857 )
The value of 5x = 46.42857
The value of 2x = 2 ( 9.2857142857 )
The value of 2x = 18.57143
And , 46.42857 + 18.5714365 = 65
Hence , the proportion is 46.42857 : 18.57143 or 5 : 2
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- 63 y^5
27y^7
- 18y^9
Take out the common factor
Answer:
[tex]Factor = 9y^5[/tex]
Step-by-step explanation:
Given
- 63 y^5 , 27y^7 and 18y^9
Required
Remove the common factor
Factorize each expression:
[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]
[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]
[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]
The common factor in the above expression is:
[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]
[tex]Factor = 9y^5[/tex]
The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5. Assume the leading coefficient of f(x) is 1. Write the equation of the quartic polynomial in standard form
The equation of the quartic polynomial in standard form is,
⇒ f (x) = x⁴ - 27x² - 14x + 120
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;'
The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5.
And, the leading coefficient of f(x) is 1.
Hence, We get;
The equation of the quartic polynomial in standard form is,
⇒ f (x) = 1 (x - (- 4)) (x - (- 3)) (x - 2) (x - 5)
⇒ f (x) = (x + 4) (x + 3) (x - 2) (x - 5)
⇒ f (x) = (x² + 7x + 12) (x² - 7x + 10)
⇒ f (x) = x⁴ - 7x³ + 10x² + 7x³ - 49x² + 70x + 12x² - 84x + 120
⇒ f (x) = x⁴ - 27x² - 14x + 120
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Find the product of (x − 3)2.
Answer:2x-6
Step-by-step explanation:
simplify the expression
2x-6
Answer:
2x - 6
Step-by-step explanation:
(x − 3)2
2 · x = 2x
2 · (-3) = -6
Combined:
2x - 6
PLEASE I NEED HELP FAST ITS THE LAST QUESTION AND I DONT KNOW HOW TO SOLVE IT
A storage unit in the shape of a rectangular prism is 9 feet tall and 4 1/4 feet wide. the length of the storage until is twice the width. which measurement is closest to the volume of the storage until in cubic feet?
Answer:
9 x 4 1/4 x 8 1/2 = 325 1/8 cubic feet.
4 1/4 x 2 = 8 1/2
The average length of a flight by regional airlines in the United States has been reported as 464 miles. If a simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles, what would be the test statistics (t-value) if we are to test whether this tend to cast doubt on the reported average of 464 miles or not
Answer:
The t-value is t = 1.65.
Step-by-step explanation:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
The average length of a flight by regional airlines in the United States has been reported as 464 miles.
This means that the null hypothesis is [tex]H_{0}: \mu = 464[/tex].
Simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles
This means that [tex]n = 30, X = 476.9, s = 42.8[/tex]. So
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{476.9 - 464}{\frac{42.8}{\sqrt{30}}}[/tex]
[tex]t = 1.65[/tex]
The t-value is t = 1.65.
Help! I NEED THIS DONE BY 8:50
Answer:
x = 28
Step-by-step explanation:
Properties of a triangle:
Triangles have 3 sidesThe sum of a triangle's interior angles will always be equal to 180°.Because we need the value of the triangle's interior angle, use the following formula to solve for x:
180 - x - y = zSince x and y are given, solve for z.180 - 129 - 23 = z28 = zz is the missing value, so for your problem, z is x.x = 28A trap for insects is in the shape of a triangular prism. The area of the base is 45 in and the height of the
prism is 7 in. What is the volume of this trap?
Help ASAP
Answer:
The volume is 315
______________
What type of triangle is shown in the figure?
A
Equilateral
À
-y + 23
Obtuse
Right
B
C
Scalene
бу +2
Answer:
A equilateral
Step-by-step explanation:
hey, its equilateral because all sides of the triangle are the same length
between which two numbers would you place √40 on a number line
Answer:
between 6 and 7
Step-by-step explanation:
The square root of 40 is about 6.32, so this number belongs between 6 and 7 on a number line.
Find the degree of this polynomial. –s5 − 4s3 + 4s2 + 5s
Answer:
Can you picture the question?
do yallll thingggggggg :)
Answer:
B.
Step-by-step explanation:
Which of the following statements is (are) correct?
I. At 6% interest, the present value of $400 for the first year, $600 for the second year, and $800 for the third year is $1,603.
II. The future value of the following mixed cash flow stream (if it is from an annuity due at 6% interest) $400 for the first year, $600 for the second year, and $800 for the third year is $1,999 (rounded).
Answer:
None OF THE STATEMENTS ARE CORRECT
Step-by-step explanation:
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
Cash flow in year 1 = $400
Cash flow in year 2 = $600
Cash flow in year 3 = $800
I = 6%
PV = 1,583.05
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
1583.05 x (1.06)^3 = $1885.44
None of the statements are correct based on the above calculations
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
Gloria draws these figures and lines of symmetry
Which figure shows an incorrect line of symmetry?
A. Figure A
B. Figure B
C. Figure C
D. Figure D
look in the photo + no links!!
Answer:
figure c
Step-by-step explanation:
there is an uneven line at the top with the half circle
comparing box plots
i will give brainliest
Answer:
what graded are you in
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME?
The three sides of a triangle are n, 3n+2, and 2n+10. If the perimeter of the triangle is 48m, what is the length of each side?
Answer:
the sides are 6, 20, and 22
Step-by-step explanation:
n + 3n + 2 + 2n + 10 = 48
combine like terms:
6n + 12 = 48
subtract 12 from each side of th equation:
6n = 36
divide both sides by 6:
n = 6
the sides are 6, 20, and 22
Please i need help for all of them!!
Answer:
1) x=65
2) x= 70
3) x= 40
4) x= 131
5) x= 75
6) x= 49
7) x= -12
8) x= 42
please help anyone PLSSSSS with my questions anyone can help me and plsss no links and pls with whole procedure pls
Answer:
In my sketch the angle between their flights is 135°
So wouldn't we just have the cosine law??
x^2 = 120^2 + 150^2 - 2(120)(150)cos135°
carry on, take care with the cos135, since it will be negative