Answer:
x=1
Step-by-step explanation:
x-1/(x+1)(x-5)
When the numerator is equal to zero and the denominator is not equal to zero
x-1= 0
x=1
An automobile traveled 7 hours at an average
speed of 50 miles per hour. It averaged only 40
miles per hour on the return trip. The average
speed per hour, to the NEAREST mile, for the
round trip was
(A)46 miles per hour
(B) 44 miles per hour
(C)43 miles per hour
(D) 47 miles per hour
Answer:
(B) 44 miles per hour
Step-by-step explanation:
We are given that
Speed, v1=50 miles/hr
Time, t1=7 hours
Average speed, v2=40 miles/hr
We have to find the average speed per hour for the round trip .
Distance traveled by automobile from one side
d1=[tex]v_1t=50\times 7=350[/tex]miles
d1=d2=350 miles
Total distance=d1+d2=350+350=700 miles
Now,
[tex]t2=\frac{d_2}{v_2}=\frac{350}{40}=8.75 hour[/tex]
Total time=t1+t2=7+8.75=15.75 hours
Now, average speed for the round tripe
=[tex]\frac{total\;distance}{total\;time}[/tex]
=[tex]\frac{700}{15.75}=44.4\approx 44[/tex]miles/hr
Hence, option (B) is correct.
The population density of Cave City, TX is 8 people per square mile. If Cave City has an area of 120 square miles, what is its population?
Work Shown:
Population Density = (Population)/(area)
Population = (population density)*(area)
Population = (8 people per mi^2)*(120 mi^2)
Population = (8*120) people
Population = 960 people
Side note: The "square mile" units cancel in step 4.
Answer:
Bee Cave reached it's highest population of 7,089 in 2021. Spanning over 9 miles, Bee Cave has a population density of 827 people per square mile. The average household income in Bee Cave is $123,655 with a poverty rate of 5.09%. The median rental costs in recent years comes to $1,506 per month, and the median house value is $574,300.
Step-by-step explanation:
Ella has two 8ft long boards she needs to cut pieces that are 15 inches long how many 15 inch pieces can she cut the two boards
Answer:
12
Step-by-step explanation:
Ella has two 8 feet long boards, so in total, she has 16 feet of the boards.
Convert these 16 feet to inches. There are 12 inches in a foot, so multiply 16 by 12:
16(12)
= 192
So, there are 192 inches in the boards. Divide this by 15 to see how many 15 inch pieces she can cut:
192/15
= 12.8
We can only have a whole number answer, because the boards need to be a full 15 inches. So, round this down:
= 12
Ella can cut twelve 15 inch pieces.
Enter an equation in point-slope form for the line.
(1,1) and (-8, 1) is on the line.
The equation of the line in point slope form is:
Answer:
y-1 = 0(x-1)
Step-by-step explanation:
Point slope form of a line is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
First find the slope
m = (y2-y1)/(x2-x1)
= (1-1)/(-8-1)
= 0/-9
= 0
y-1 = 0(x-1)
y-1=0
Which expression is equivalent to 3(m - 3) + 4?
3m + 1
O
3m-
5
O
3m + 13
O 3m - 3
Answer:
3m -5
Step-by-step explanation:
3(m - 3) + 4
Distribute
3m -9 +4
Combine like terms
3m -5
Answer:
3m - 5
Step-by-step explanation:
3(m - 3) + 4
3m - 9 + 4
3m - 5
RSM HW PLEASE HELPPPPPPPPPPPPP ASAP
Answer:
congruent SAS
Step-by-step explanation:
We know two sides of the triangles are congruent to each other
MD = MT
and MA = MU
We also know that <DMA = < TMU
Two sides and the included angle
We can use SAS to show that the triangles are congruent
Answer
DM = MT (sides)
AM =MU ( sides)
<DMA = < TMU ( Angles)
So, DMA triangle is congruent to TMU triangle
According to SAS
What is the solution to this system of equations?
2x+y = 6
- - x - y = 2
0
0
(1, -1)
(0,8)
infinitely many solutions
no solution
Answer:
Step-by-step explanation:
{ 2/3 x+y=6
+
{ -2/3x-y=2
= 0=6
Hence,no solution.
Independent Practice
Use the vertical motion formula h = –16t2 + vt + c.
A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula and let h = 0. Use the quadratic formula to solve for t. If no one touches the ball, how long is the ball in the air?
A.
0.1 s
B.
–0.1 s
C.
3.2 s
D.
1.1 s
Answer: The answer is letter A. 0.1s...... I think
-16t^2 + 50t + 3.5= 0
Step-by-step explanation: The answer is either letter A or letter B
Question
Use the vertical motion formula h=-16 t^{2}+v t+ch=−16t
2
+vt+c. A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula Let h = 0.
Explanation
Step 1
1 of 2
The starting velocity is 50 ft/s ,when the ball is 3.5 ft high
So, v=50v=50 , h=3.5h=3.5 , t=0t=0
\begin{align*} h&=-16t^2+vt+c &&\text{{\color{#c34632}The vertical motion formula}}\\\\ 3.5&=-16(0)^2+50(0)+c &&\text{{\color{#c34632}Substitute 3.5 for $h$ , 50 for $v$ , 0 for $t$}}\\\\ c&=3.5 &&\text{{\color{#c34632}Simplify}}\\\\ \end{align*}
h
3.5
c
=−16t
2
+vt+c
=−16(0)
2
+50(0)+c
=3.5
The vertical motion formula
Substitute 3.5 for h , 50 for v , 0 for t
Simplify
So, the vertical motion formula will be
h= -16t^2 + 50t + 3.5
Let h= 0
-16t^2 + 50t + 3.5= 0
Answer:
Step-by-step explanation:
Can someone help with this please
9514 1404 393
Answer:
a) (1.75 +1.00d)/4 < (3.50 +1.50d)/5
b) 3.70
Step-by-step explanation:
a) You want ...
classic cost < XL cost
Using the given expressions for the costs, the inequality is ...
(1.75 +1.00d)/4 < (3.50 +1.50d)/5
__
b) For a 10-mile ride, the XL cost is ...
(3.50 +1.50(10))/5 = (3.50 +15.00)/5 = 18.50/5 = 3.70
Each passenger in a group of 5 friends pays $3.70 for the 10-mile ride.
_____
Additional comment
Each expression can be divided out to give ...
classic cost per person = $0.4375 +0.25d
XL cost per person = $0.70 +0.30d
Comparing these, we see there is no positive value of d that will make the XL cost per person be less than the classic cost per person. Both the initial fee and the per-mile cost are lower for the classic.
Which graph matches the equation y=2/3x-4
Answer:b
Step-by-step explanation:
What is the phase shift of y=csc2(x+pi/4)?
Answer:
-pi/4
Step-by-step explanation:
set ( ) = 0
[tex]\sqrt{45}[/tex]
Answer:
6. 72
Step-by-step explanation:
[tex] \sqrt{45} \\ = \sqrt{9 \times 5} \\ = \sqrt{9 } \times \sqrt{5} \\ = 3 \sqrt{5} [/tex]
[tex] \sqrt{5} = 2.24 \\ \implies \: 3 \sqrt{5} = 3 \times 2.24 \\ = 6.72[/tex]
Answer:
[tex]3\sqrt{5}[/tex]
Step-by-step explanation:
45 = 9 * 5 = [tex]\sqrt{3 * 3 * 5}[/tex]
Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.
Answer:
B . g(x) = x + 8
Step-by-step explanation:
Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.
g(x) = x + 3
g(x) = x + 8
g(x) = x − 8
g(x) = x + 2
Its B if this is what your test is on .
A student skipped a step when she tried to convert 18 hours into seconds, and she got the following incorrect result:

Answer:
She's, "HOT"!
Step-by-step explanation:
Can u help solve this
Answer:
3 or 6/2
Step-by-step explanation:
4--2 (you add there is a subtraction of a negative) over or divided by 3-1
Answer:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{4 - - 2}{3 - 1} \\ = \frac{6}{2} = 3 \\ thank \: you[/tex]
if you is equals to 1 2 3 4 5 6 7 8 9 10 and a is equal to 1267 b is equals to 2 3 5 6 and C is equals to 4 5 6 7 then verify that a union B complement is equal to a complement intersection b complement
This should be the answer
Solve 15 = 4(1.6)^x by graphing. Round to nearest hundredth.
Answer:
2.81
Step-by-step explanation:
[tex]4*1.6^x=15\\\\1.6^x=\dfrac{15}{4} \\\\x*ln (1.6)=ln (3.75)\\\\x=\dfrac{ln(3.75)}{ln(1.6)} \\\\x=2.81222475...\approx{2.81}[/tex]
Rationalize the denominator:
√7-√3 /√7+√3
help me this question plZ
[tex] \tt \huge \leadsto \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} + \sqrt{3} } [/tex]
[tex] \tt \huge \leadsto \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} + \sqrt{3}} \times \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} - \sqrt{3} } [/tex]
[tex] \tt \huge \leadsto \frac{7 - 3}{ (\sqrt{7 })^{2} - ( \sqrt{3})^{2} } [/tex]
[tex] \tt \huge \leadsto \frac{4}{7 - 3} [/tex]
[tex] \tt \huge \leadsto\frac{4}{4} [/tex]
[tex]\tt\huge\leadsto{1}[/tex]
Answer:
Step-by-step explanation:
To rationalize the denominator multiply the numerator and denominator by the conjugate of √7 + √3 = √7- √3
[tex]\frac{\sqrt{7}-\sqrt{3}}{\sqrt{7}+\sqrt{3}}=\frac{(\sqrt{7}-\sqrt{3})(\sqrt{7}-\sqrt{3})}{(\sqrt{7}+\sqrt{3})(\sqrt{7}-\sqrt{3})}\\\\\\= \frac{(\sqrt{7}-\sqrt{3})^{2}}{(\sqrt{7})^{2}-(\sqrt{3})^{2}}\\\\\\= \frac{(\sqrt{7})^{2}-2*(\sqrt{7})*(\sqrt{3})+(\sqrt{3})^{2})}{7-3}\\\\=\frac{7-2\sqrt{21}+3}{4}\\\\=\frac{10-2\sqrt{21}}{4}\\\\=\frac{2(5-\sqrt{21})}{4}\\\\=\frac{5-\sqrt{21}}{2}[/tex]
find the measure of the missing side in the right triangle
Answer:
[tex]12.2\text{ ft}[/tex]
Step-by-step explanation:
In any right triangles, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared ([tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side).
In this case, the length we're solving for is the hypotenuse of the triangle and the two legs of the triangle are 7 and 10. Therefore, we have:
[tex]7^2+10^2=c^2,\\49+100=c^2,\\c^2=149,\\c=\sqrt{149},\\c\approx \boxed{12.2\text{ ft}}[/tex]
Line A passes through the coordinate points (-2/5,0) and (0,1). Which of the following lines will line A never intersect?
Answer:
Option B
Step-by-step explanation:
Only lines which are parallel to the line which connects the given two points will neve r intersect,
parallel line has same slope
the slope of the line which connects the given two points is, 5/2
and the line is option B also has the same slope, so those two lines will never intersect each other.
Answered by GAUTHMATH
Sharon made a triangle park the scale is 1 meter equals 1unit what is the area in square meter
Answer:
Step-by-step explanation:
1unit is equal to. .?
Marina correctly simplified the expression StartFraction negative 4 a Superscript negative 2 Baseline b Superscript 4 Baseline Over 8 a Superscript negative 6 Baseline b Superscript negative 3 Baseline EndFraction, assuming that a not-equals 0, b not-equals 0. Her simplified expression is below
Answer:
7
Step-by-step explanation:
We know that x^a / x^b = x^ (a-b)
b^4 / b^ -3 = b^(4 - -3) = b^ (4+3) = b^7
The exponent for b is 7
Answer:
D
Step-by-step explanation:
why e=mc2?why not e=mc3?
Step-by-step explanation:
E = mc^2
E is Energy
M is Mass
C is Speed of light
This is Albert Einstein's General theory of relativity.
According to The principle of homogeneity,
E = mc^2 is dimensionally correct.
A car garage 17 rows of 30 cars each of the three floors. How many cars are there if the car Park Is full
Answer:
10 car are park is full djtbjekkjtitjejshd
pls help asap
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
5x^3+x^2+7x-28=0
a. one
b. two or zero
c. three or one
d. two
I think the Answer is option a.one
correct me if I am wrong
need help with a p e x !!!
i think B is the right answer
Solve for x.
42 - 5x = 4x + 15
x = [?]
Answer:
42-15=4x+5x
27=9x
27/9=x
x=3
Step-by-step explanation:
what is -6^2 equal to?
Answer:
-36
Step-by-step explanation:
If they asked (-6)^2 then it would be 36
Answer:
-36
Step-by-step explanation:
Normally, 6²=36 but because it is -6, multiply 6 by itself and add the negative sign.
Find the missing measure if a and b are the legs of the right triangle and c is the hypotenuse, with a = 11 and c =18.
Answer:
[tex]\sqrt{203}[/tex]
Step-by-step explanation:
1. [tex]11^{2} + b^{2} = 18^{2}[/tex]
2. [tex]b^{2} =203[/tex]
3. b = [tex]\sqrt{203}[/tex]
Can't be simplified.
Answer 16
Step-by-step explanation:
Covert °F to °C .
(*SHOW YOUR WORK*)
6) 82°F to °C = ___________
7) 104°C to F =____________
8) 68°F to C = ____________
9) 47°C to F =_____________
Answer:
6 ≈ 27.78C
7 = 219.2F
8 = 20C
9 = 116.6F
Step-by-step explanation:
6. From the formula C/5 = (F-32)/9
We get C/5 = (82-32)/9
C = (50/9)*5
C ≈ 27.78
7. From the formula C/5 = (F-32)/9
We get 104/5 = (F-32)/9
F-32 = 104/5 * 9
F-32 = 187.2
F = 219.2
8. From the formula C/5 = (F-32)/9
We get C/5 = (68-32)/9
C/5 = 36/9
C/5 = 4
C = 5 * 4
C = 20
9. From the formula C/5 = (F-32)/9
We get C/5 = (F-32)/9
47/5 = (F-32)/9
(47/5)*9 = (F-32)
84.6 = F-32
F = 84.6 + 32
F = 116.6
Formula Used
Temperture Conversion
C/5 = (F-32)/9 = R/4 = (K-273)/5
C - Celcius, F - Fahrenheit, R - Rankine, K - Kelvin
Note
Please use the correct subject next time
6) 82°F to C°
Formula
(82°F − 32) × 5/9 = 27.78°C
82°F=27.78°C
7) 10°C to °F
Formula
(104°C × 9/5) + 32 =219.2°F
104°C =219.2°F
8) 68°F to C°
Formula
(68°F − 32) × 5/9 = 20°C
68°F=20°C
9) 47°C to °F
Formula
(47°C × 9/5) + 32 = 116.6°F
47°C =116.6°F
