Answer:
6 miles
Step-by-step explanation:
Given that the candy store that is due south of her school and due west of her favorite skate park, the distance between the the school and the skate park when considered with the distance between the candy store and her school and that between the candy store and her favorite skate park gives us a right angled triangle.
The distance between the school and the skate park is the longest side (hypotenuse of the triangle so formed). As such, using Pythagoras theorem
10^2 = 8^2 + x^2 where x is the distance between the Candy store and the skate park
100 = 64 + x^2
100 - 64 = x^2
36 = x^2
6^2 = x^2
x = 6
The distance between the candy store and the skate park is 6 miles
A prism is filled with 70 cubes with a side length of 1 2 unit. What is the volume of the prism in cubic units? Enter answer as a mixed number in its simplest form.
Answer:
The volume of the cube is;
[tex]8\dfrac{3}{4} \ cube \, units[/tex]
Step-by-step explanation:
The parameters of the prism are;
The number of cubes used to fill the prism, n = 70 cubes
The side length of each cube, s = 1/2 unit
The volume of the cube, V = n × s³
∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = [tex]8\dfrac{3}{4} \ cube \, units[/tex] = 8.75 cube unit
Solve the equation f(x) = -4x2 – 3x + 2 using the quadratic formula.
a. X=-1.17 and x = 0.43
b. x = 0.58 and x = 4.18
C. X = -4,X = -3, x = -2
d. x = 1.12 and x = 3.53
Need answer ASAP!
The solution f(x) = -4x2 – 3x + 2 is x=-1.17 and x = 0.43
The correct option is (A)
What is Quadratic equation ?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given equation is :-4x²-3x+2
using the Quadratic Formula where
a = -4, b = -3, and c = 2
x = -b ±√b²-4ac/2a
= 3±√9+32/(-8)
= 3± √41/(-8)
x= 3/(-8) + √41/(-8) or x= 3/(-8)- √41/(-8)
x= -1.17 and x= 0.4253
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The difference of two numbers is 19 and their sum is 121. Find the numbers.
need help with simple question
Answer:
I think it is 10
Step-by-step explanation:
I said I think it might be 9
3k + 10 = 22 I just wanna know all the steps to this question
and answer
Please Help WILL MARK BRAINLIEST
18 Points
Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her jump distance.
Month Vertical Jump in inches
0 16
2 17
4 18
6 19
f of x equals one half times x plus 16
f of x equals one half times x plus 19
f(x) = 2x + 16
f(x) = 2x + 19
Answer:
Part 1) Option A. f of x equals one half times x plus 16
Part 2) Option A. x = 5
Part 3) Option C. x − 4y = −9
Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.
Step-by-step explanation:
Part 1)
Let
x -----> the number of months
y ----> vertical jump in inches
step 1
Find the slope
we have the points
(0,16) and (2,17)
The equation of the line in slope intercept form is
we have
-----> the point (0,16) is the y-intercept
substitute
convert to function notation
f(x)=y
Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?
step 1
Find the slope
we have the points
(5, 0) and (5, −2)
the slope is undefined
This is a vertical line (parallel to the y-axis)
therefore
The equation is
x=5
Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)
step 1
Find the slope
we have the points
(−1, 2) and (3, 1)
step 2
Find the equation of the line into point slope form
we have
substitute
Convert to standard form
Multiply by 4 both sides to remove the fraction
Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario
we know that
The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)
The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))
Let
x ----> the number of rides
y ----> the total cost in dollars
In this problem
The independent variable or input is the number of rides
The dependent variable or output is the total cost
-brainly user
Answer:
Your function would be y = 1/2x + 16.
Explanation:
Points: (0, 16); (2, 17)
Slope: m = (17 - 16) / (2 - 0) = 1/2
Slope intercept form: y = mx + b
So, if the slope equals 1/2 and the y-intercept is (0, 16), you would use substitution to get y = 1/2x + 16.
Therefore, your ending function is y = 1/2x + 16.
plsssssssss help I really need to do this I will give brainliest to anyone who solves
Answer:
MSP: 6a/2
CUB: ab/2
ABC: 20 square centimeters
KDR: 5x cm * 3x cm / 2
Step-by-step explanation:
MSP: 6 x a divided by 2
CUB: a x b divided by 2
ABC: 8 x 5 divided by 2
KDR: 5xcm * 3xcm divided by 2
i need help with my last two questions:)
Answer:
5. (a)
6. (b)
I am hoping that this will help you
HELPPPPPPP What is the volume? Use the pi button on your calculator. Round to nearest hundredth. (Don't include units, just the #.) *
Answer:
The volume is 2703.730036 (I didn't round it)
Step-by-step explanation:
could someone maybe help me with this ?
Answer:
The scale factor is 3
Step-by-step explanation:
The answer is 3
Use the table to identify the value of p and q that should be used to factor x^2-3x-10 as (x+p)(x+q) I’ve seen the answer with positive 3x but not a answer for negative
Answer:
1
Step-by-step explanation:
1 is the right answer for this question
Chandra had 9 jugs of juice at her party.Eacu jig had 1 gallon of juice in it at the start of the party.
Answer:
could you explain more clearly for me? if Chandra had 9 jugs, each was one gallon, what's the take away? I need to know for example: each member had 2 cups of juice which would sum up to (insert number) how much juice was left?
Write and Solve an equation to find the value of x and a missing angle in the triangle below.
Please help me on maths
Answer:
x = 25
Step-by-step explanation:
x + 25 + 2x - 10 + 90 = 180
3x + 105 = 180
3x = 75
x = 25
let fill this out it is timed so pls do it quickly
Answer:
They have no relation, except for the fact that they intersect. If the equations were instead y = +5/4x - 1/2 and y = -4/5x + 2, or y = +4/5 + 2 and y = -5/4x -1/2, then they would be perpendicular.
Option 3 is the right answer.
Step-by-step explanation:
For the given lines y = -4/5x+2 and y = -5/4x - 1/2
we have to identify whether lines are parallel or perpendicular.
As we know if two lines are perpendicular then gradients of two lines will in the form of
m1 m2=(-1)
and if the lines are parallel then the gradients of the lines will be same.
m1=m2
Here m1 = -4/5 and m2 = -5/4
Therefore
m1m2=(-4/5)(-5/4)=(+1)
and
m1≠m2
So both the lines are neither parallel nor perpendicular to each other.
Option 3 is the right answer.
Which expression is equivalent to x2 − 17x − 60?
A.
(x + 5)(x − 12)
B.
(x − 20)(x + 3)
C.
(x − 5)(x − 12)
D.
(x − 20)(x − 3)
Answer:
the person above is correct
Step-by-step explanation:
its c
The expression x² − 17x − 60 can be factorized as (x + 3) (x- 20).
What is expression?An expression in math is a sentence with a minimum of two numbers/ variables and at least one math operation in it. Let us understand how to write expressions.
Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.Given:
x² − 17x − 60
Now, factorizing we get
x² − 20x + 3x − 60
= x(x − 20) + 3(x − 20)
= (x + 3) (x- 20)
Hence, the expression can be factorized as (x + 3) (x- 20).
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Cylinder A has a radius of 4 inches and a height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of Cylinder B if both cylinders have the same volume? (Hint: Start by finding the volume of Cylinder A.)
Answer:
6
Step-by-step explanation:
Answer:
h=8 in
Step-by-step explanation:
Formula: V=pi r^2 h
Cylinder A:
radius: 4 in height: 2 in
V=pi*4^*2*2
V=pi*16*2
V=pi*32
V=3.14*32
V=100.48
Cylinder B:
radius: 2 in height: ? volume: 100.48
100.48=pi*2^2*h
100.48=pi*4*h
100.48=3.14*4*h
100.48=12.56*h
100.48/12.56=h
h=8 in
Hope this helps :)
Plz give me brainliest
explain rounding up numbers i dont mean only examples but definitions too
Answer:
Rounding up numbers means to make a number with many numerical values or digits into a more simpler way.
Step-by-step explanation:
In order to round up a number you have to look to the digit next to it and if its greater then five it rounds up, if it's less then five it stays the same. If the number only has one digit then you have to look at that number and round up by seeing if its greater than or less than five.
Examples:
[tex]7[/tex]
[tex]7>5[/tex]
[tex]7=10[/tex]
7 rounded up equals 10 because 7 is more near 10 then it is to one.
Round the number 12,371 to the nearest thousand.
This means to find the thousands place value (two) check the number next to the thousands place value (hundreds or three) and check to see if that number is greater then five or not.
[tex]12,371[/tex]
[tex]3 <5[/tex]
[tex]=12,000[/tex]
Therefore the 12,371 rounded to the nearest thousand is "twelve-thousand" and that's because three is not greater then or equal to five.
Hope this helps.
PLEASE HURRY THANK YOU!!!!
Answer:
-125
Step-by-step explanation:
[-5]^3 = -125
3/4+4/5-7/10 i dont know it
Answer:
17/20
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] + [tex]\frac{4}{5}[/tex] - [tex]\frac{7}{10}[/tex]
common denominator is 20
15/20 + 16/20 - 14/20
17/20
Find the unit rate
34 carbs for every 1/3 serving
Answer:
102.010201 carb per serving
Step-by-step explanation:
2(3×+4)=4×+12 i need help with this problem
Answer:
x = 2
Step-by-step explanation:
2(3x + 4) = 4x + 12
6x + 8 = 4x + 12
2x + 8 = 12
2x = 4
x = 2
hi can someone answer this
Answer:
B
Step-by-step explanation:
When two angles are on the interior like that, they are adding up to 180 degrees in total.
So, x would be 20 because
2x+60=
2 times 20, plus 60 = 100
and 3x+20=
And 3 times 20, plus 20 = 80
Adding up 100 and 80, you get 180 degrees.
I hope this helps. I'm a student too but I hope I explained it relatively ok.
Help!!! Consider function f
Which statement is true about function f?
A. The function is increasing over its entire domain
B. The function is continuous
C. As x approaches positive Infinity, f(x) approaches positive infinity
D. The domain is all real numbers
The correct statement of function is the function is continuous.
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
As, functions approach the same value as x approaches 0.
Now, -x² +4x +1 at x= 2 we get
= -4 + 8 +1 = 5
and, 1/2x + 3 = 1+3= 4
So, we reject the statement.
Now, as x increases without bound,
1/2x +3 increases with bound.
Therefore the statement B is true statement.
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Stock in Daenerys Industries has a beta of 1.2. The market risk premium is 5 percent, and T-bills are currently yielding 4.2 percent. The company's most recent dividend was $1.40 per share, and dividends are expected to grow at an annual rate of 5 percent indefinitely. If the stock sells for $30 per share, what is your best estimate of the company's cost of equity?
Answer:
The best estimate of the company's cost of equity is 10.05%.
Step-by-step explanation:
Using growth rate model formula, the cost of equity can be calculated as follows:
Cost of equity as per growth rate model = (D1 / P) + g ................ (1)
D1 = Most recent dividend * (1 + g) = $1.40 * (1 + 0.05) = $1.47
P = Current price per share = $30
g = Growth rate of dividend = 5%, or 0.05
Substituting the values into equation (1), we have:
Cost of equity as per growth rate model = ($1.47 / $30 ) + 0.05
Cost of equity as per growth rate model = 0.099. or 9.90%
Using Capital Asset Pricing Model (CAPM) formula, the cost of equity can be calculated as follows:
Cost of equity as per CAPM = Risk free rate + (Beta * Market risk premium) = 4.2 + (1.2 * 5) = 10.20%
Therefore, we have:
Best estimate of Cost of equity = (Cost of equity as per growth rate model + Cost of equity as per CAPM) / 2 = (9.90% + 10.20%) / 2 = 10.05%
Therefore, the best estimate of the company's cost of equity is 10.05%.
help me pls theheheh
Answer:
108 schools
Step-by-step explanation:
The histogram gives information about the waiting time
Answer:
what historian
what was the information
Fill in the blank
10:18=________:9
Answer:
the answer to the blank is 5
(just in case you're confused) the answer is 5:9
Step-by-step explanation:
In exercises 8-10, write a system of linear equations that has the ordered pair as its solution. (-6, -2)
Answer:
(8) [tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]
(9) [tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]
(10) [tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]
Step-by-step explanation:
Given [Missing from the question]
[tex](8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)[/tex]
Required
Write a system of linear equations
The solutions to this question is open and have different solutions
Solving (8) (-6,-2)
Let the equations be: x + y and 2x - y
[tex]x + y = -6 - 2[/tex]
[tex]x + y = -8[/tex] --- (1)
[tex]2x - y = 2 * (-6) - (-2)[/tex]
[tex]2x - y = -10[/tex] -- (2)
So, the equations are:
[tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]
Solving (9) (-12, 18)
Let the equations be: 3x - y and 4x + y
[tex]3x - y = 3 *(-12) - 18[/tex]
[tex]3x - y = -54[/tex]
[tex]4x + y = 4 * (-12) + 18[/tex]
[tex]4x + y = -30[/tex]
So, the equations are:
[tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]
Solving (9): (2,0)
Let the equations be: x + y and x - y
[tex]x + y = 2 + 0[/tex]
[tex]x + y = 2[/tex]
[tex]x - y = 2 - 0[/tex]
[tex]x - y = 2[/tex]
So, the equations are:
[tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]
What is the value of 6(2b-4) when b=5?
Answer:
36
Step-by-step explanation:
Substitute b=5 to the expression:
=6(2(5)−4)
Evaluate inside the parentheses. Multiply 2 and 5 first:
=6(10−4)
Then subtract:
=6(6)
Finally, multiply:
=36
Answer: The value of 6(2b-4) when b=5 is 36.
Step-by-step explanation: Given expression: 6(2b-4). To find the value of 6(2b-4) at b= 5, we need to substitute the b=5 in the expression, we get….Therefore, the value of 6(2b-4) is 36, when b=5.