If 5 times a number is increased by 4, the result is at least 19. Find the least possible number that satisfies these conditions.
Answer:
3
Step-by-step explanation:
5 times a number would be 5x, then increase that by 4 is 5x+4. The problem then says 5x + 4 ≥ 19. If we solve for x then we get x ≥ 3 so x has to be greater than or equal to 3, so the smallest number it could be is 3. You can even try any number smaller than 3 and see it doesn't work. even something like 2.9
Answer:
x ≥ 3
Step-by-step explanation:
Let the number = x
5 × the number = 5x
Increased by 4 means 5x +4
Is at least 19 means ≥ 19
5x + 4 ≥ 19
5x ≥ 15 Subtracted 4 from each side
x ≥ 3 Divided each side by 5
The smallest possible number that satisfies the conditions is x = 3.
a walkway along the diagonal of a square park is 4/5 miles long. what is the area of the park?
Answer:
[tex]\frac{8}{25}[/tex] square miles
Step-by-step explanation:
The relationship between the side length (let it be s) of a square and its diagonal (let it be d) is given by:
[tex]s=\frac{d}{\sqrt{2} }[/tex]
Since d is given as 4/5, we solve for s:
[tex]s=\frac{d}{\sqrt{2} }\\s=\frac{\frac{4}{5}}{\sqrt{2} }\\s=\frac{4}{5\sqrt{2} }[/tex]
NOW, area of square is s^2 where s is the side length.
Area = [tex]s^2=(\frac{4}{5\sqrt{2} })^2=\frac{16}{50}=\frac{8}{25}[/tex]
The area of the park is:[tex]\[\boxed{\frac{8}{25} \text{ square miles}}\][/tex]
To find the area of the square park given the length of the diagonal, we need to use the relationship between the side length of a square and its diagonal.
[tex]\[d = s\sqrt{2}\][/tex]
Given that the diagonal [tex]\( d \) is \(\frac{4}{5}\)[/tex] miles, we can set up the equation:
[tex]\[s\sqrt{2} = \frac{4}{5}\][/tex]
[tex]\[s = \frac{\frac{4}{5}}{\sqrt{2}} = \frac{4}{5\sqrt{2}}\][/tex]
Rationalize the denominator by multiplying the numerator and the denominator by [tex]\(\sqrt{2}\):[/tex]
[tex]\[s = \frac{4\sqrt{2}}{5 \cdot 2} = \frac{4\sqrt{2}}{10} = \frac{2\sqrt{2}}{5}\][/tex]
[tex]\[A = \left( \frac{2\sqrt{2}}{5} \right)^2\]\[A = \frac{(2\sqrt{2})^2}{5^2} = \frac{4 \cdot 2}{25} = \frac{8}{25}\][/tex]
Therefore, the area of the park is:
[tex]\[\boxed{\frac{8}{25} \text{ square miles}}\][/tex]
Plz help me!!!!!!!!!!
Answer: a³ - 218
Step-by-step explanation:
(a - 6)(a² + 6a + 36)
= a(a² + 6a + 36) -6(a² + 6a + 36)
= a³ + 6a² + 36a
- 6a² - 36a - 218
= a³ + 0a² + 0a - 218
= a³ - 218
Solve the system of equations 3x + y = 3 and 7x + 2y = 1
Answer: x=-5 and y=18
Step-by-step explanation:You multiply 3x+y=3 by 2 to get 6x+2y=6. Then, you subtract 6x+2y=6 from 7x+2y=1. The result is x=-5. You then plug -5 into an x in one of the equations and get y equal to 18.
Answer:
-5
Step-by-step explanation:
What is the distance from -50 to-0 on a number line
Answer:
50 units
Step-by-step explanation:
Think of it as taking steps. Each unit is a step. It will take you 50 steps to get from -50 to 0, so the distance is 50
Mathematically, end point minus starting point
0 - (-50) =
0+50 = 50
What is the least common multiple of 6, 3, and 2?
Answer:
6
Step-by-step explanation:
the multiples of 6 are : 6, 12, 18, .....
The multiples of 3 are : 3, 6, 9, 12, ......
The multiples of 2 are : 2, 4, 6, 8, 10, 12, ......
The common multiples are 6 and 12 .....
The least common multiple is 6
a ____ is how data values are arranged.
the part of data set where the middle values are concentrated is called the ______ for data.
A________ anticipates that there will be different answers when gathering info.
_______ is a measure that describes the spread of values in a data set.
Answer:
statistical question
Step-by-step explanation:
A distribution is the arrangement of data values. The center for data refers to the central tendency measures such as mean, median, and mode. Variability describes the spread of values, often measured by standard deviation.
Explanation:A distribution is how data values are arranged. The part of the data set where the middle values are concentrated is called the center for data. A survey anticipates that there will be different answers when gathering info. Variability is a measure that describes the spread of values in a data set.
To find the center of a data set, we can calculate measures of central tendency, which include the mean, median, and mode. The mean, or average, is the total of all data values divided by the number of values. The median is the value at the midpoint of the data set when ordered from smallest to largest, effectively splitting the data into two equal parts. The mode is the most frequently occurring value in the data set. If your data set has outliers, the median is often the best measure of the center, as it is less affected by extreme values.
When we refer to variability in a data set, we are often talking about the standard deviation, which tells us how spread out the data values are around the mean. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation suggests the values are spread out over a wider range.
PLEASE HELP me, I don't know how to solve this!
Answer:
2 < c < 12
Step-by-step explanation:
If we know two sides of a triangle a and b, the third side, c, can be no bigger than the the other two sides added together, and no smaller than the other two sides subtracted
a-b < c < a+b
We know the two sides are 7 and 5
7-5 < c < 7+5
2 < c < 12
Sylvia finds the solution to the system of equations by graphing y=2/3x + 1 and y = -2/3x-1 which graph shows the solution to Sylvia’s system of equations
What I don’t understand the question
Answer:
D
Step-by-step explanation:
blue line curve going down from y 0,1 red diagonal touching x 3,0 then 0,-3
What are the zeros of the function f(x)=(x+5) (2x-8) ?
Answer:
x = - 5, x = 4
Step-by-step explanation:
To find the zeros set f(x) = 0, that is
(x + 5)(2x - 8) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4
Answer:
X = -5 or x = 4
Step-by-step explanation:
F(x)=(x+5) (2x-8)
When f(x) = 0
0 =(x+5) (2x-8)
Thus;
x+5 =0 or 2x-8 = 0
Therefore; x= -5 or x = 4
an earthquake can be felt 70 miles from its epicenter if someone is standing 50 miles east and 20 miles north of the epiccenter will they be able to feel the eacrthquake? and explain your reasoning for why they would or would not be able to feel it.
Answer:
You Would Feel It Faint Because Of Earthquakes Are Loud Rumbles Not Matter How far
Step-by-step explanation:
For the equation y = 2x2 − 5x + 18
Please answer asap. Will give Brainly
Answer:
y=2x^2−5x+18
Step-by-step explanation:
What is the truth value for the following conditional statement?
p: false
q: false
∼p → ∼q
T F → T
F T → F
F F → T
T T → T
Answer:
TT→T
Step-by-step explanation:
If p is false, then ~p is true.
If q is false, then ~q is true.
Now note that
If a and b are both true, then a→b is true.If a is true, b is false, then a→b is false.If a is false, b is true, then a→b is true.If a and b are both false, then a→b is true.In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)
The truth value of the conditional statement ∼p → ∼q is true when both p and q are false, as the conditional is false only when the antecedent is true and the consequent is false.
The question is asking us to evaluate the truth value of the conditional statement ∼p → ∼q when both p and q are false. According to the rules of propositional logic, the implication (→) is false only when the antecedent is true and the consequent is false. Here, since p and q are both false, the antecedent (∼p) is true and the consequent (∼q) is also true. Therefore, the conditional statement is true. This reflects the concept that a conditional statement is always true if either the antecedent is false or the consequent is true, hence in our case the truth value of ∼p → ∼q is true.
Jada walks up to a tank that can hold up to 10 gallons. When it’s active a drain empties water from the tank at a constant rate. When jada first sees the tank it contains 7 gallon three minutes later the tank contains 5 gallon. At what rate is the amount of water in the tank changing
Answer:
2/3 of a gallon per minute
Step-by-step explanation:
You can find the rate by subtracting the amount of gallons she observed and dividing it by the time.
7 - 5 = 2 and 2 gallons/3 mins = 2/3 of a gallon each minute.
A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points A(−7,2) , B(3,2) , and D(−7,−2) . Point C is the fourth vertex of the rectangle.
What is the distance from point B to point C?
Enter your answer in the box.
the distance from point b to c is 4 down the y-axis
Please select the answer for the question shown below.
Answer:
It has one solution
Step-by-step explanation:
3/4 z = 1/4 z - 3 + 5
Subtract 1/4 z on both sides:
2/4 z = -3 + 5
2/4 z = 2
1/4 z = 1
Substitute:
3 = 1 - 3 + 5
3 = -2 + 5
3 = 3
^^^One Solution
If 80 is decreased by 50%, what is the new amount?
∑
∞
n
=
1
−
4
(
1
3
)
n
−
1
Answer:
6
Step-by-step explanation:
The correct notation is: Summation from n = 1 to infinity of the expression:
[tex]4(\frac{1}{3} )^{n-1}[/tex]
If we expand this notation, we will find that the given summation represent the terms of a G.P and we have to find the sum of infinite terms of a G.P. By placing n=1,2,3,4,... we can find the first few terms as shown below:
[tex]4(\frac{1}{3} )^{1-1}=4\\\\ 4(\frac{1}{3} )^{2-1}=4(\frac{1}{3} ) \\\\ 4(\frac{1}{3} )^{3-1} =4(\frac{1}{3} )^{2}[/tex]
Its obvious from the above result, that the given summation represent a G.P with first term equal to 4 and common ratio of 1/3. The formula of infinite G.P is:
[tex]S=\frac{a_{1} }{1-r}[/tex]
Using the value of a1 = 4 and r = 1/3 we can calculate the given summation
[tex]S=\frac{4}{1-\frac{1}{3} }=6[/tex]
Therefore, the given summation is equal to 6.
Find HCF of
Question number 23
Answer: x - 2
Step-by-step explanation:
HCF is more commonly referred to as GCF (greatest common factor)
Factor each expression to see which factor(s) they have in common.
[tex]x^4 - 8x\implies x(x^3-8)\\= x\boxed{(x-2)}(x^2+4x+4)\\\\\\3x^2-8x+4\implies 3x^2-6x-2x+4\implies3x(x-2)-2(x-2)\\=(3x-2)\boxed{(x-2)}\\\\\\2x^2-5x+2\implies 2x^2-4x-x+2\implies 2x(x-2)-1(x-2)\\=(2x-1)\boxed{(x-2)}[/tex]
The only factor that all three expressions have in common is: x - 2
What is 0.660 rounded to the nearest tenth
Final answer:
To round 0.660 to the nearest tenth, we find that 0.660 rounded to the nearest tenth is 0.7.
Explanation:
To round 0.660 to the nearest tenth, we need to look at the digit in the hundredth place, which is 6. Since 6 is greater than or equal to 5, we round up. The digit in the tenth place becomes 7, and all digits after the tenths place are dropped. Therefore, 0.660 rounded to the nearest tenth is 0.7.
Suppose Y varies directlly With x. If y= 6 when x=2 find x when y= 12
Answer:
The value of x = 4 when the value of y = 12
Step-by-step explanation:
∵ y α x ⇒ it is direct variation
- It means y increase when x increase
∴ y = kx ⇒ where k is a constant
- To find the value of k we will substitute the values of x
and y in the equation above
- If y = 6 when x = 2
∴ 6 = k(2) ⇒ divide two sides by 2
∴ k = 3
∴ y = 3x ⇒ equation of variation
- To find the value of x when y = 12
- Substitute the value of y in the equation of variation
∴ 12 = 3x ⇒ divide both sides by 3
∴ x = 4
* The value of x = 4 when the value of y = 12
Answer: x=4
Step-by-step explanation:
By definition, the direct variation eqution has the following form:
[tex]y=kx[/tex]
Where k is the constant.
Therefore, if If [tex]y=6[/tex] when [tex]x=2[/tex], you can calculate k as following:
-Substitute values.
- Solve for k.
Then:
[tex]6=k(2)\\k=3[/tex]
Then, when [tex]y=12[/tex], you can calculate the value of x as it is shown below:
-Substitute values.
- Solve for x.
Then:
[tex]12=3x\\x=4[/tex]
pleassssssssssseeeeeeee help me! ASAP
Hey there!
I want you to think of radicals as like terms. In order to be able to combine like terms, you need the same base and exponent.
For example,
3x^2-y^2 <== same exponent but not same variable
3x^2-x^2 <=== could be combined because exponent (^2) and variable (x) are the same
So, for this question, you're looking for a radical that has 5 under the radical sign and 3 above the radical sign.
"B" is the right answer, because is ∛ and in the radical it has a √5.
I hope this helps!
~kaikers
I need help with this
Answer:
V = 235.5 in³Step-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=\pi r^2H[/tex]
r - radius
H - height
From the pictue we have r = 5in and H = 3in. Substitute:
[tex]x=\pi(5^2)(3)=\pi(25)(3)=75\pi\ in^3[/tex]
[tex]\pi\approx3.14[/tex]
Therefore
[tex]x=(75)(3.14)=235.5\ in^3[/tex]
Answer:
75π is the answer
Step-by-step explanation:
In term of pie is solving without multiplying with pie which is 3.14
A=πr2 x H
1) leave π alone solve for r2
The radius is 5 so 5 squared is 25 or 5x5=25
2) Just multiply 25 times the height which is 3 with pie
25x3=75
75π is the answer
Hopes this helps!
A bookstore is selling books for $10 each which graph shows the relationship between the number of books x the store sold and the total amount of money y paid from the book sales
Answer:
one or two books cost 10 dollars
Step-by-step explanation:
which graph shows the relationship between the number of books x the store sold and the total amount of money y paid from the book sales?
book store selleing books for
10 dollars
x= books 1,2
y= paid 10
so u see it says someone bought books for 10 dollars
each so two books
Answer with explanation:
Selling Price of book, which the bookstore is selling =$ 10
If, total number of books sold =x
Total Selling Price of x, books = $10 × x=$10 x
If, y is the amount of money obtained after selling x books, then
→→ y= 10 x
Drawing the graph on "Desmos graphing"
URGENT! IM TIMED! 2.35•2/3 in fraction form?
Answer:
Simplified: 1.56
fraction form 47/30
Answer:
Option D 47/30
Edg 2020
Order the ratios from least to greatest. 5:3, 6:4, 11/3, 3 to 1, 33:100
Answer:
33:100- 6:4- 5:3- 11/3
Step-by-step explanation:
First turn into even fractions
5:3= 1 2/3
6:4=1 1/2
11/3= 3 2/3
3/1= 3
33:100= 1/3
Then look at the numbers.
Julia estimates that Ron will buy $800 worth of produce from her each week. Last week, Ron bought $880 worth of produce. What is the absolute error? What is the ratio of the error to the actual amount? What is the percent error?
Answer:
-first one
80
- second one
80/880
- last one
9.09%
on edg.
Answer:
What is the absolute error?
✔ 80
What is the ratio of the error to the actual amount?
✔ 80/880
What is the percent error?
✔ 9.09%
Which relation does not represent a function?
A.
{(3, 0), (0, 3)}
B.
{(6, -2), (5, -2)}
C.
{(3, 4), (3, 5)}
D.
{(5, 5), (-5, -5)}
E.
{(1, -2), (-2, 1)}
Answer:
C. {(3, 4), (3, 5)}
Step-by-step explanation:
Each input can only go to one output to be a function. In other words, each x can only go to one y
Relation C has an x of 3 going to 2 different y's (4 and 5) so it is a relation not a function
Answer with explanation:
A relation is said to be function, if each element of domain has unique range or no two elements in image has same Preimage.
Option A
3 → 0
0→3
Relation is a Function.
Option B
6 → -2
5→-2
Relation is a function.
Option C
3→4
3→5
Two elements in Preimage has Distinct images. So this relation is not a function.
Option D
5 → 5
-5 → -5
Relation is a function.
Option E.
1 → -2
- 2→ 1
Relation is a function.
Option C: {(3, 4), (3, 5)}
Relation is not a function.
what is the percent of increase from 500,000 to 1,000,000
Answer:
100%
Step-by-step explanation:
do you need an explanation?
The measures of two vertical angles are represented by (4x - 7) and (2x - 13). What is the sum of the two angles measures?
a. 33
b. 45
c. 66
d. 90
The sum of the two vertical angles (4x - 7) and (2x - 13) is 33 degrees.
Explanation:To find the sum of the two vertical angles, we need to equate the expressions representing the measures of the angles and solve for x.
(4x - 7) = (2x - 13)
4x - 7 = 2x - 13
2x = -6
x = -3
Now we can substitute x = -3 back into one of the expressions to find the angle measures.
Angle 1 = (4x - 7) = (4(-3) - 7) = -12 - 7 = -19
Angle 2 = (2x - 13) = (2(-3) - 13) = -6 - 13 = -19
The sum of the two angle measures is: -19 + -19 = -38
Since angle measures cannot be negative, we can conclude that the sum of the two angle measures is 38 degrees. Answer choice (c) 66 is incorrect because the sum is not positive. The correct answer is (a) 33 degrees.