Answer:
4
Step-by-step explanation:
Since the bases are equal the powers also are equal
so
2x + 1 = x + 5
2x - x = 5 - 1
x = 4
How to solve problem?
Answer:
m<ADE = 57 degrees
Step-by-step explanation:
Angles of a quadrilateral add up to 360. We are already given 69 and 45, which can both be subtracted from 360, leaving us with 246. Since the two remaining angles are congruent, 246 can be divided by 2 to find the remaining measure(s). We are left with 123. However, m<ADE is supplementary to this. So we subtract 123 from 180. The final answer is 57 degrees.
Do problem 9
I NEED HELP IM CONFUSED
Answer:
1st answer 52+7=59
2nd answer 52-18=32
3rd answer 74-52=22
4th answer 2×52=104
please mark it as the brainlliest answer
A force of 4 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length
Answer:
the work done in stretching the spring from its natural length is -1.8 ft.lb
Step-by-step explanation:
Given the data in the question;
From Hook's law, the magnitude of force applied on a spring is expressed as follows;
|F| = k|x|
where F is the force applied the spring, k is the spring constant, x is the length extension
Now, given that; F = 4 pounds = 4 lb and x = 0.4 ft
we substitute
4 = k × 0.4
k = 4 / 0.4
k = 10 lb/ft
Also, Hook's law can be expressed as follows;
F = -kx ---------- let this be equation 1
Now, work done by a force applied between two points is expressed as follows;
dW = Fdx ----------- let this be equation 2
substitute equation 1 into equation 2
dW = (-kx )dx
we integrate both side
∫(dW) = ∫((-kx )dx)
W = -k∫xdx
W = -k[tex]\frac{x^2}{2}[/tex]
w = -[tex]\frac{1}{2}[/tex]kx²
we substitute 10 lb/ft for k and 0.6 ft for x
w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × (0.6 ft)²
w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × 0.36 ft²
w = -1.8 ft.lb
Therefore, the work done in stretching the spring from its natural length is -1.8 ft.lb
Name a fraction between 3.43 and 3.44
7/16 = 0.4375
3.4375 is between 3.43 and 3.44
The answer: 3 and 7/16
Represent 1/3 of 1/4
Answer:
1/12
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
the word 'of' in math means to multiply so 1/3 of 1/4 means to multiply them together
1/3 x 1/4 = 1/12
Crawling Crayfish!
Big Claw, the crayfish, challenged Flicker to a 60 em race. Since Big Claw is much
larger, he offered to give Flicker a 10 cm head start Flicker agreed and the race
began. After 5 seconds, Big Claw had crawled 6 cm and Flicker had crawled 4 cm.
If they continue at this rate, who do you predict will win the race? justify your
prediction
How many seconds have elapsed when Big Claw and Flicker are tied?
Answer: Crayfish, 25 s
Step-by-step explanation:
Given
The length of race is 60 cm
Flicker gets a 10 cm head-start
Cray fish covers 6 cm in 5 s i.e. its speed is
[tex]\Rightarrow \dfrac{6}{5}=1.2\ cm/s[/tex]
Flicker covers 4 cm in 5 s, its speed is
[tex]\Rightarrow \dfrac{4}{5}=0.8\ cm/s[/tex]
Time taken by Cray fish to cover the race is
[tex]\Rightarrow t_1=\dfrac{60}{1.2}\\\\\Rightarrow t_1=50\ s[/tex]
Time taken by flicker to cover race with 10 cm head start
[tex]\Rightarrow t_2=\dfrac{60-10}{0.8}\\\\\Rightarrow t_2=62.5\ s[/tex]
Time taken by crayfish is less. Hence, crayfish wins the race
When they both covers the same distance, they tied momentarily i.e.
[tex]\Rightarrow 1.2t=10+0.8t\\\Rightarrow 0.4t=10\\\\\Rightarrow t=\dfrac{10}{0.4}\\\\\Rightarrow t=25\ s[/tex]
After 25 s, they tied the race.
Helppppppppppppppppp
Answer:
[text] x = p(m - n) [/tex]
Or
[text] x = pm - pn [/tex]
Step-by-step explanation:
Given:
[text] m = n + \frac{x}{p} [/tex]
Required:
Make x the subject of the formula
Solution:
What we are required to do is to rewrite the equation so that x will be alone on one side while the other variables will be on the other side.
[text] m = n + \frac{x}{p} [/tex]
Subtract n from each side
[text] m - n = n + \frac{x}{p} - n [/tex]
[text] m - n = \frac{x}{p} [/tex]
Multiply both sides by p
[text] p(m - n) = \frac{x}{p}*p [/tex]
[text] p(m - n) = x [/tex]
[text] x = p(m - n) [/tex]
Or
[text] x = pm - pn [/tex]
Question 16 of 20
If a study estimated that 22% of students ride their bikes to school, and the
error range is +2%, what percentage of students might actually ride their bikes
to school?
O A. 22% -24%
O B. 2% - 22%
O C. 20% - 22%
ОО
D. 20% - 24%
SUBMIT
PREVIOUS
Answer:
D) 20%-24%
Step-by-step explanation:
The margin of error is ±2%, which means that the true proportion it can be 2% above the average proportion or 2% below the average proportion. Therefore, the percentage of students that might actually ride their bikes to school is 20%-24%.
Answer: A. 22%-24%
Step-by-step explanation: There's a +2% error range, so you just add 2% to the existing percentage to get your range of 22% (the original percentage) through 24% (the percentage you get after adding 2%)
The birth weights (in kilograms) of 5 elephants, selected randomly, are 133, 120, 97, 106, 124 (Source: www.elephant.se). Below are the summary statistics of the data and output from the analysis testing if the true average birth weight of the elephants is 100 kg.
min Q1 median Q3 max mean sd n missing
97 106 120 124 133 116 14.40 486 5 0
t = 2.4837, df = 4, p-value = 0.06794
alternative hypothesis: true mean is not equal to 100 95 percent confidence interval:
XXXXXX XXXXXX
What is the correct calculation of a 95% confidence interval for the true average birth weight of elephant?
(i) 116± 1.96 x 14.4
(ii) 116 ± 1.96 x 14.4/15
(iii)116 ±1.96 x 14.4/14
(iv) 116 ± 2.4837 x 14.4
(v) 116 ±2.4837 x 14.4/15
(vi) 116 ± 2.4837 14.4/74
(vii) 116 ± 2.78 x 14.4
(viii) 116 ± 2.78 x 14.4√5
(ix) 116 ±2.78 x 14.4√4
Answer:
(viii) 116 ± 2.78 x 14.4√5
Step-by-step explanation:
The given data is
Sample size =n= 5
Calculated t- value= 2.4837
Mean= 116
Standard deviation= sd= 14.40486
The t - value from table with 4 d.f for ∝/2 is t∝/2 (n-1)= 2.776
The 95% confidence interval is calculated by
d` ± t∝/2 (n-1) *sd/√n
Putting the values
116 ± 2.776* 14.40486/√5
Comparing these values with the options Part viii gives the best answer.
(viii) 116 ± 2.78 x 14.4√5
2.776 when rounded gives 2.78 and 14.40486 when rounded gives 14.4
The rest are incorrect.
What is the initial value of the function represented by this table?
Answer:
2
Step-by-step explanation:
3+2=5 and 5+2 =7 and on x side just add 1
how do i solve this question.
Select the two correct solutions of the inequality x + 8 > 14
2
4
6
8
10
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{x + 8 } \mathsf{>}\large\text{ 14}[/tex]
[tex]\large\textsf{SUBTRACT 8 to BOTH SIDES}[/tex]
[tex]\large\text{x + 8 - 8 }\mathsf{>}\large\text{ 14 - 8}[/tex]
[tex]\large\textsf{CANCEL out: \text{8 - 8} because that gives you \text{0}}[/tex]
[tex]\large\textsf{KEEP: \text{14 - 8} because that helps what you are comparing to the \text{x}}[/tex]
[tex]\large\text{x }\mathsf{> }\large\text{ 14 - 8}[/tex]
[tex]\large\text{14 - 8 = \boxed{\bf 6}}\large\checkmark[/tex]
[tex]\large\text{x }\mathsf{>}\large\text{ 6}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf x}\mathsf{\bf >}\large\text{ \bf 6 }}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
please help me find the area
Answer:
17,290 yd2
Step-by-step explanation:
I rlly don't know how u were taught to solve it but what I did was multiply all the sides
Which expression is equivalent to 4+x+x+2x+5+3+x?
[tex]\longrightarrow{\blue{B.\:5x\:+\:12}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]
[tex]4 + x + x + 2x + 5 + 3 + x[/tex]
Combining like terms, we have
[tex] = x + x + 2x + x + 4 + 5 + 3[/tex]
Next, add them
[tex] = 5x + 12[/tex]
Therefore, ''[tex]\sf\pink{4 + x + x + 2x + 5 + 3 + x}[/tex]" is equivalent to "[tex]\sf\purple{5x\:+\:12}[/tex]."
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Answer:
B. 5x + 12.
Step-by-step explanation:
[tex]4 + x + x + 2x + 5 + 3 + x = ?[/tex]
Whenever you see variables without a visible coefficient, imagine there is a '1' in front of the variable.
[tex]4 +(1)x+(1)x+2x+5+3+(1)x=?[/tex]
From here, you can combine like terms.
Remember, combine means to add.
Like terms are terms whose variables (such as x or y) with any exponents are the same (such as x² or y²).
[tex](1)x+(1)x+2x+(1)x=5x.[/tex]
[tex]4+5+3=12.[/tex]
[tex]4+(1)x+(1)x+2x+5+3+(1)x=5x+12.[/tex]
I, therefore believe 5x + 12 is equal to 4 + x + x + 2x + 5 + 3 + x.
if Tom had 78 apples and he gave to the shop for 80% and he put it on sale for another 10% what many apples would Tom get in the end?
Answer:
he has to many apples
Step-by-step explanation:
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Find the value of x.
Answer:
20
Step-by-step explanation:
[tex]V_{right\: square \: pyramid} = \frac{1}{3} {a}^{2} h \\ \\ \therefore \: 1500 = \frac{1}{3} {(15)}^{2} (x)\\ \\ \therefore \: 1500 = \frac{1}{\cancel 3} \times \cancel {225} (x) \\ \\ \therefore \: 1500 = 75x \\ \\ \therefore \: x = \frac{1500}{75} \\ \\ \therefore \: x = 20[/tex]
What is the largest 4- digit number that is divisible by 3, 6, and 9? Explain how you know.
========================================================
Explanation:
Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9
9999/3 = 33339999/6 = 1666.59999/9 = 1111When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.
------------------------
Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)
So we go from 9999 to 9990
Repeat the last set of steps we did earlier
9990/3 = 33309990/6 = 16659990/9 = 1110Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.
Express tan J as a fraction in simplest terms.
J
34
K
L
16
Answer:
tanJ = 8/15
Step-by-step explanation:
find JK the adjacent side uisng th pythagorean theorem
a² + 16² = 34²
a² = 34² - 16²
a² = 900
a = 30
--------------------
tan = opp/adj
tanJ = 16/30
Reduce
tanJ = 8/15
It take 6 Pounds of flour to make 36 cakes. How much flour is needed to make 9 cakes?
Answer:
54 pounds
Step-by-step explanation:
To find out how much flour is needed to make 9 cakes, we first need to find out how much much flour is needed to make 1 cake. For that, we need to divide 6 by 36. That will give you 6. Now that we know how much flour is needed to make 1 cake, we will just have to multiply 6 by 9 to find out how much flour is needed to make 9 cakes. That will give you 54 pounds, which is your final answer.
Complete the factorization of 4x2 – 9.
4x2 – 9 = (
x –
)(
x +
)
Answer:
2x - 3 2x +3
Step-by-step explanation:
so its 2,3,2,3
The function 4x^2 - 9 is a quadratic function, and the factorized expression of 4x^2 - 9 is (2x - 3)(2x+ 3)
What is factorization?Factorization involves splitting a function into several factors
The expression is given as:
[tex]4x^2 - 9[/tex]
Express 4 as the square of 2
(2x)^2 - 9
Express 9 as the square of 3
(2x)^2 - 3^2
Apply the difference of two squares
(2x - 3)(2x+ 3)
Hence, the factorized expression is (2x - 3)(2x+ 3)
Read more about factorization at:
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Bill can hit a bucket of 323 golf balls in 17 hours.
How many golf balls can Bill hit in 23 hours?
To find the constant vector C, we use the given initial condition v(0) = k, we also know that at t = 0, the general equation for v() i:s Comparing both equations for V(0) and solving for C, we have C = k. Substituting it back into the general equation, we have
V(t) = 4ti + 5tj + c = ______.
Answer:
4ti + 5tj + k
Step-by-step explanation:
Initial condition V(0) = k
at t = 0
general equation for v(t )
V(0) = 0i + 0j + c = k
when we compare V(0) and solve for c , c = k
back to general equation
V(t) = 4ti + 5tj + c = 4ti + 5tj + k
Choose all lengths that are equal to 6 feet 12 inches
A 3 yd 1 ft
B 7 ft
C 7 ft 2 in.
D 2 yd 1 ft
E 1yd 4 ft
The only length that is equal to 6 feet 12 inches is 7 ft.
What is unit of measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
To compare lengths, we need to convert all of them to the same units. One way to do this is to convert everything to inches.
6 feet 12 inches is equal to 6 x 12 + 12 = 84 inches.
3 yd 1 ft = 3 x 3 x 12 + 1 x 12 = 109 inches, which is not equal to 84 inches.
7 ft = 7 x 12 = 84 inches, which is equal to 6 feet 12 inches.
7 ft 2 in. = 7 x 12 + 2 = 86 inches, which is not equal to 84 inches.
2 yd 1 ft = 2 x 3 x 12 + 1 x 12 = 78 inches, which is not equal to 84 inches.
1yd 4 ft = 1 x 3 x 12 + 4 x 12 = 60 inches, which is not equal to 84 inches.
Therefore, the only length that is equal to 6 feet 12 inches is 7 ft.
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What is the equation of the line perpendicular to y=1/2 x+3 passing through the point (-3,4)
Answer:
y=-2x-2
Step-by-step explanation:
Would you rather have your debit card declined if you don't have enough
money to pay for something or would you rather pay the overdraft fee?
and why I'll mark brainest
Answer:
I would have my debit card declined because it is a better choice prob than having to pay the overdraft fee.
Use the graph to answer the question.
What is [tex]\frac{AD}{AB}[/tex] in simplest form?
A. [tex]\frac{10}{3}[/tex]
B. [tex]\frac{1}{3}[/tex]
C. [tex]\frac{17}{5}[/tex]
D. 3
Answer:
D. 3
Step-by-step explanation:
Distance between A and D = AD = 9 units
Distance between A and B = AB = 3 units
[tex] \frac{AD}{AB} = \frac{9}{3} [/tex]
Simplify by dividing
[tex] \frac{AD}{AB} = \frac{3}{1} [/tex]
[tex] \frac{AD}{AB} = 3 [/tex]
The answer is 3
Bob can mow a yard in 5 hours and Jeff can mow the same lawn
in 3 hours. Which equation could be used to solve an equation to find the time
it would take to mow the yard if they both mowed the lawn at the same time? *
Answer:
2 hours
Step-by-step explanation:
because they work faster togetter and jeff mows faster
how to factor z²-4z+4
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ({ \: z - 2 \: })^{2} \: }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {z}^{2} - 4z + 4[/tex]
[tex] = {z}^{2} - 2z - 2z + 4[/tex]
Taking "[tex]z[/tex]" as common from first two terms and "[tex]2[/tex]" from last two terms, we have
[tex] = z \: ( \: z - 2 \: ) - 2 \: ( \: z - 2 \: )[/tex]
Taking the factor [tex](z-2)[/tex] as common,
[tex] = ( \: z - 2 \: )( \: z - 2 \: )[/tex]
[tex] = {( \: z - 2 \: )}^{1 + 1} [/tex]
[tex] = ({ \: z - 2 \: })^{2} [/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35❦}}}}}[/tex]
PLEASE HELP! 50 POINTS A circle has a radius of 3. An arc in this circle has a central angle of 20°.
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for pie and enter your answer as a decimal.
Answer:
sana Po nakatulong
stay safe po
Which of these
numbers is closest to
500?
515
488
522
477
Answer:
488.
Step-by-step explanation:
515-500=15
500-488=12
522-500=22
500-477=23
The closest number to 500 exists at 488.
How to estimate closest number to 500?
The numerical value = 500
Step 1: Subtract the given value from 500 if it exists smaller than 500
Step 2: Subtract 500 from the given value if it exists greater than 500
Step 3: The smallest result obtained exists the number closest to 500
Option A: 477
500 - 477 = 23
Option B: 515
515 - 500 = 15
Option C: 488
500 - 488 = 12
Option D: 522
522 - 500 = 22
12 exists the smallest result among all the given options.
The closest number to 500 exists at 488.
Therefore, the correct answer is option C. 488.
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