Answer:
The three consecutive numbers cannot be 4, 5, and 6 because, the result will be 36 ≠ 18, which is indeterminate
Step-by-step explanation:
The given parameters are;
The three consecutive positive numbers Chloe is trying to find are x, x+1, x + 2
The conditions of the three positive numbers are;
6 × (x + 2) = 2 × (x + x + 1)
We check if the three consecutive numbers can be 4, 5, and 6 by substituting the values as follows;
x + 2 = 6
x + 1 = 5
x = 4
Which gives;
6 × (6) ≠ 2 × (4 + 5)
36 ≠ 18
Therefore, the three consecutive numbers cannot be 4, 5, and 6
What value of x will make the equation true?
(square root of 5) (square root of 5)=x
please help me :)
Solve for v.
v+1≤2
HELP I WILL MARK BRAINLIEST
Step-by-step explanation:
V is less or equal to 2-1
V is therefore less or equal to 1
solve the following equation algebraically:
2 x squared = 98
a.
x = 7
b.
x = plus-or-minus 49
c.
x = plus-or-minus 7
d.
x = 49
Answer:
c. [tex] x = \pm 7 [/tex]
Step-by-step explanation:
[tex] 2x^2 = 98 [/tex]
[tex] x^2 = 49 [/tex]
[tex] x = \pm\sqrt{49} [/tex]
[tex] x = \pm 7 [/tex]
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 17 Date Name Lesson 17 Solutions Eric's father works two part-time jobs, onc in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hours does Eric's father work each afternoon?
Answer:
Eric's father work 5 hours each afternoon
Step-by-step explanation:
Let x be the no. of hours Eric's father work each afternoon
He works for hours in morning each day = 3
He works for total hours in morning in 5 days=[tex]3 \times 5 = 15[/tex]
He works for total hours in afternoon in 5 days=5x
We are given that he works a total of 40 hours each 5-day workweek.
ATQ
15+5x=40
5x=25
x=5
Hence Eric's father work 5 hours each afternoon
In the diagram shown, it is known that segment RP is perpendicular to segment QS and segment RP bisects angle SRQ. If measure angle SRQ=104 degrees, then explain why measure angle S=38 degrees.
*attachment contains the missing diagram
Answer/Step-by-step explanation:
Given that RP ⟂ QS, <RPS is a right angle.
Therefore, m<RPS = 90°
Since RP bisects <SRQ, therefore m<PRS = ½ of m<SRQ.
Therefore:
m<PRS = ½*104°
m<PRS = 52°
m<S + m<RPS + m<PRS = 180° (sum of ∆)
m<S + 90° + 52° = 180° (substitution)
m<S + 142 = 180°
Subtract 142 from each side
m<S = 180° - 142°
m<S = 38°
What is the inverse of the function f(x) = x - 9?
Answer:
F^-1(x) = x+9
Step-by-step explanation:
Hope this helps! Stay Safe!\
The inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
From the question, the given function is
f(x) = x - 9
To determine the inverse of this function,
First, let y = f(x)That is,
y = x - 9
Now, make x the subject of the equationTo do that, add 9 to both sides
We get
y +9 = x - 9 +9
y + 9 = x
∴ x = y + 9
Now, rewrite as f⁻¹(x) by replacing y by xThat is,
f⁻¹(x) = x + 9
Hence, the inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
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A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?
Answer:
Speed = 24 km/h
Step-by-step explanation:
Speed = Distance / Time
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
Distance = 12 km
Time = 0.5 Hours
Speed = 12 / 0.5
Speed = 24 km/h
Answer:
Step-by-step explanation:
12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.
12*2= 24 km/h
Quinton typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below? (50PTS)
Answer:
B- 20 yards
Step-by-step explanation:
First you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards. Next you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.
Answer:
20
you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards. you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.
4. How many seconds will it take an echo to reach your ears if you yell toward a mountain
82 m away on a day when the air temperature is Oº C?
t = ?
The time taken by sound to reach your ear is 0.25 second.
Time of echo :The speed of sound at temperature of 0º C is 331.5m/s
the relation between distance , time and velocity is,
[tex]x=v*t\\\\t=\frac{x}{v}[/tex]
Where, x is distance, v is velocity and t is time.
Given that, [tex]x=82m,v=331.5m/s[/tex]
Substitute values in above relation.
[tex]t=\frac{82}{331.5}=0.25second[/tex]
the time taken by sound to reach your ear is 0.25 second.
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The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:
- NK
- MK
- MF
- [tex]A_{AMNFD}[/tex]
Answer:
[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]
Step-by-step explanation:
According to the statement, we find the following inputs:
[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]MD = 9[/tex]
[tex]NF = 5[/tex]
Given than longer base and shorter base are parallel to each other, we conclude that:
[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]
[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]
[tex]\angle KND = 45^{\circ}[/tex]
[tex]\angle FND = 90^{\circ}-\angle KND[/tex]
[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)
[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]
[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)
[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)
[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)
If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:
[tex]DO = MO \approx 6.364[/tex]
[tex]NO = OF \approx 3.536[/tex]
The value of MK is obtained from the following relationship:
[tex]MK = \frac{MD-NF}{2}[/tex]
[tex]MK = \frac{9-5}{2}[/tex]
[tex]MK = 2[/tex]
And the value of KD is calculated from this expression:
[tex]KD = MD-MK[/tex]
[tex]KD = 9-2[/tex]
[tex]KD = 7[/tex]
Now by the Pythagorean Theorem we find that:
[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]
[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]
[tex]NK \approx 7.001[/tex]
And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:
[tex]MF = NO + DO \approx 7.001[/tex]
Lastly, the area of the isosceles trapezoid is determined by the following formula:
[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]
[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]
If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:
[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]
[tex]A_{AMNFD} = 49.007[/tex]
This diagram represents a function named h. Which of the choices also represents the function, h?
Answer:
if this is on Imagine Math then its the first answer
Step-by-step explanation: got it right!
The correct choices to represents the function, h is shown in figure.
⇒ h (x) = 4x - 2
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
This diagram represents a function named h.
Now, We have;
The correct equation to represent the equation is,
h (x) = x × 4 + 9- 2)
h (x) = 4x - 2
Hence, We can draw the equation of line and find that the correct choices to represents the function, h
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Find two numbers whose sum is 39 and the greater number exceeds the smaller one by 5
Is y=(x/3) an inverse or direct variation
Answer: y=x3 is a direct variation.
Step-by-step explanation:
What is 11010²-1101²
Answer:
[tex]9909^2\\[/tex]
or
[tex]98188281[/tex]
When the quotient property of exponents is applied, which operation is used to simplify the exponents? (1 point)
A. Adding
B. Subtracting
C. Multiplying
D. Dividing
Please show your work for points
Answer:
try your best
Step-by-step explanation:
What is the solution to the system of equations graphed below?
(2, 4)
(4,2)
(0.6)
(6.0)
Answer:
(4,2)
Step-by-step explanation:
You can see the point where lines crossed.
Hope this helps you.
Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell drove 122 miles to get to the park, and it took him 2 hours. Tisha drove 96 miles to get to the park, and it took her 1.5 hours. On average, how much faster did Tisha drive than Latrell?
Answer:
3 miles
Step-by-step explanation:
122/2 is 61
64 plus 32 is 96. 96/1.5 is 64 meaning that she goes 64 miles an hour.
so she goes 3 miles faster on average than latrell, with latrell going 61 an hour average and her going 64 an hour average
Answer:
Tisha is faster than Latrell by 3 miles/hour
just did the math
Use the divisibility rules to determine which of the following numbers 330 is divisible by. (Check all that apply.)
2
3
5
7
11
The numbers that divide 330 are 2, 3, 5 and 11.
How to find the divisibility for a given number?In order to find divisibility, there are certain rules for different numbers. If a number is divisible by two numbers then it is also divisible by their product.
The given number is 330.
The divisibility rules for the number given can be applied one by one as follows,
Divisibility for 2,
For a number to be divisible by 2 its unit digit must be 0, 2, 4, 6 or 8.
Thus, 330 is divisible by 2.
Divisibility for 3,
For a number to be divisible by 3 sum of the digits of the number must be divisible by 3.
Since sum of the digits of 330 is 6 which is divisible by 3, 330 is also divisible by 3.
Divisibility for 5,
A number should either end with 0 or 5 in order to be divisible by 5.
Thus, 330 is divisible by 5 as it ends with 0.
Divisibility for 7,
For a number to be divisible by 7, the digit at ones place multiplied by 2 and then subtracted from the remaining digits must be divisible by 7.
Here, in 330 this rule is applied as,
33 - 2 × 0 = 33
Since 33 is not divisible by 7, 330 is also not divisible.
Divisibility for 11,
The difference of the sum of the digits at even place to the odd place must either be zero or divisible by 11.
In 330, 3 + 0 - 3 = 0.
Thus, 330 is divisible by 11.
Hence, the given number 330 is divisible by 2, 3, 5 and 11.
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What is the solution for the equation 4x - 10 = 2x? x =
(Input whole number only). (5 points)
Answer:
x=-5
Step-by-step explanation:
4x-2x = -10
2x = -10
x= -5
The solution for the equation 4x - 10 = 2x is x=-5.
What is an equation?
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression will be solved as:-
4x + 10 = 2x
Take the variables in the same side and solve for the value of x.
4x-2x = -10
Subtract the term 2x from the term 4x to get the value of x.
2x = -10
Divide the number -10 by 2 to get the exact value of x.
x = -5
Therefore, the solution for the equation 4x - 10 = 2x is x=-5.
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If vector u= (-4,8) and vector (5,-18), which vector can be added to 2u-4v to give the unit vector in the direction of the y-axis as the resultant vector?
A. w = (12, -87)
B. w = (28, -55)
C. w = (28, -87)
D. w = (12, -55)
Answer:
hey buddy im gona help you!
Step-by-step explanation:
If f(x) = 8 -3x and g(x) = 4x, solve gf(x) = 80
Answer:
(f-g)(x)= f (x)- g (x) =4^x -1 +6 -(2x-5)
=4^x +5 -2x +5
=4^x -2x +10
Step-by-step explanation:
Given f(x) = -3x - 2, find the following:
a. f(3)
b. f(-1)
c. f(-2)
Answer:
Answer is f(3)
Step-by-step explanation:
i did test
i need help asap!!!!!!!
which rule describes the transformation? picture below
Answer:
B) rotation 180 degrees about the origin
Step-by-step explanation:
Also, what do the words underneath D) say? I think the answer could also be a reflection across y = x.
-2-(x-3)=-4
What does x equal?
Answer:
x = 5
Step-by-step explanation:
-2 -(x-3) = -4
You have to switch the signs into their opposites when you have -(?)
-2 - x + 3 = -4 Add liked terms
-x + 1 = -4
- 1 - 1 Subtract 1 from both sides
-x = -5 Get rid of the negative in the x
/-1 /-1 Divide -1 from each sides
x = 5
Help I’m dumb and it’s the end of the quarter
Answer:its ok me too :(
Step-by-step explanation:hope you get smart soon have a nice day:)
PLEASE HELP!!!!!!! 17 POINTS AND BRAINLIEST
Answer:
I got c
Step-by-step explanation:
it came out to be a fraction of y=3/2x - 2
x+y = -6 slope and y intercept
Answer: #x = -6# is a vertical line crossing the x-axis at -6. It does not cross the y-axis at all, so there is no y-intercept. Lines which are vertical are said to have an infinite or undefined gradient. The definition of gradient is #("change in y-values")/("change in x-values")# As there is no change in the x-values the denominator would be 0.
Step-by-step explanation: mark me branliest
order the numbers from least to greatest 7,-2.5,4/6
Answer:
-2.5, 4/6, 7
Step-by-step explanation:
We know this because -2.5 is the only negative number within the sequence, 4/6 is just a fraction so it's not a full number of 6, making 7 the greatest number.
Answer:
-2.5, 4/6, 7
Step-by-Step: