Saul correctly solved a math problem by first dividing 18 by 6, then adding 5 to the result.
Which equation could be solved to get the same answer?
6x−5= 18
6(x−5)=18
6x+5=18
6(x+5)=18
Answers.
[tex] \frac{23}{6} [/tex]x=8[tex] \frac{13}{6} [/tex]x=-2
simplify (4x^3)^2 (3x)^5
Answer:
(4x³)² (3x)⁵ = 3888x¹¹Step-by-step explanation:
(4x³)² (3x)⁵ = 4²(x³)² (3)⁵(x)⁵
= 16x⁶ (243)x⁵
= (16 × 243) (x⁶ × x⁵) [commutative property]
= (3888) (x¹¹) [exponent property]
= 3888x¹¹
what is the transformation
(x,y) (x+5,y -3)
(x -5, y+3)
(x+3 y-5 )
x-3,y +5
Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test.
The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1. The hypothesis can not be concluded.
What is Standard normal distribution?The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.
For the given problems, the Hypothesis mean is 4.5. The sample mean was 4.75 hours with a normal standard deviation of 2.0.
Now, calculating the z-score,
[tex]z = \dfrac{\bar x - \mu_o}{\dfrac{\sigma}{\sqrt n}}\\\\\\z = \dfrac{4.75-4.5}{\dfrac{2}{\sqrt{15}}}\\\\\\z = 0.48[/tex]
Now, as per the standard normal table, the p-value is 0.6844. Since the p-value is greater than the significance level, the hypothesis can not be concluded.
Hence, The hypothesis can not be concluded.
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Lawrence needs to be at his job by 5:00 p.m.
It takes him 20 minutes to ride his bike to his job, 30 minutes to eat dinner, and 45 minutes to do his homework.
Which time does he need to start his homework?
A.
3:00 p.m.
B.
3:25 p.m.
C.
3:35 p.m.
D.
4:20 p.m.
Answer:
B. 3.25 p.m.
Step-by-step explanation:
[tex]20 + 30 + 45 = 96 \: minutes \\ 95 \: minutes \: = 60 \: minutes + 35 \: minutes \\ 95 \: minutes \: = 1 \: hour \: 35 \: minutes\\ 5.00 \: p.m. - 1 \: hour \: 35 \: minutes = 3.25 \: p.m.[/tex]
How does the graph of y = a(x – h)^2 + k change if the value of h is doubled? The vertex of the graph moves to a point twice as far from the x-axis. The vertex of the graph moves to a point twice as far from the y-axis. The vertex of the graph moves to a point half as far from the x-axis. The vertex of the graph moves to a point half as far from the y-axis.
The vertex of the graph moves to a point twice as far from the y-axis.
Option B is the right answer.
What is the equation of Parabola ?The general equation of a parabola is
y = a(x-h)² + k
or
x = a(y-k)² +h
where (h,k) denotes the vertex.
It is given in the question that the value of h is doubled for the equation given
y = a(x-h)² + k
if the value of the h is doubled, the vertex of the graph shifts and shifts on the x axis away from the y axis , therefore
the vertex of the graph moves to a point twice as far from the y-axis.
Option B is the right answer.
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Answer:
its b
Step-by-step explanation:
Solve the exponential equation: 7^3 – 2x = 7–x Question 13 options: A) 3 B) 2 C) 7 D) –2
The solution to the exponential equation 7^(3 – 2x) = 7^(-x) is 3
How to solve exponential equation?7^(3 – 2x) = 7^(-x)
Both equation has the same baseEliminate the base to remain the powers3 - 2x = - x
collect like terms
3 = - x + 2x
3 = x
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The length of ribbon A is 56 feet and the length of ribbon B is 59 feet.
The exact length of ribbon C is 34 feet longer than the estimated difference in lengths of ribbon A and B.
What is the length of ribbon C?
Note - Use 0,12 or 1 as benchmarks.
The length of ribbon C is 37 feet.
What is the length of ribbon C?The equation that can be used to determine the length of ribbon C is:
C = 34 + ( length of ribbon B - length of ribbon A)
C = 34 + (59 - 56)
C = 34 + 3
c = 37 feet
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if a quarter kilogram costs rs 60 then how much will cost for 150 grams
Answer:
R s. 36
Step-by-step explanation:
1kg ⇒ 1000g
So, a quarter kilogram means,
[tex]\frac{1}{4}[/tex] × 1kg = 1000g × [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] × 1kg = 250g
According to the question,
250g = R s. 60
So, now they're asking for the price of 150g.
Let that price be x.
250g ⇒ R s. 60
150g ⇒ x
Use cross multiplication to find the value of x.
250x = 60 × 150
250x = 9000
Divide both sides by 250.
x = R s. 36
write an even number between 7 and 16 draw a picture and then write a sentence to explain why it is an odd number
Answer: An even number between 7 and 16 would be 10.
Step-by-step explanation: I am not sure how I am supposed to draw a picture of the number other than drawing the number itself. However, 10 is an even number because it is a composite number and is divisible by 2. 10 is an even number, not an odd number. Hope this helps!
What is the quotient and remainder, written as partial fractions, of StartFraction 15 x squared + 52 x + 43 Over 3 x squared + 5 x minus 8 EndFraction?
Answer:
B
Step-by-step explanation:
On edge
What is the next number in this sequence?
38 57 76
Answer:
the next sequence is 76+19= 95
Answer:
Next number = 95
Step-by-step explanation:
Hi! Let me help you out.
_________________
To determine the next number in this sequence, we should determine the common difference.
We can do it like this.
[tex]\longmapsto\sf 76-57=19[/tex]
See. I took the third term, and subtracted the second term from it.
Continue.
[tex]\longmapsto\sf 57-38=19[/tex]
↪
The number we obtain after subtracting is the common difference.
So we should take the third term, "76", and add the common difference, "19" to it.
We obtain 95. Which is the final answer.
⇨Hope that this helped you out! have a great day ahead.⇦
Best Wishes!
[tex]\star\bigstar\overline{\textsf{Reach far. Aim high. Dream big.}}[/tex]
◆◈-Greetings!-◈◆
_______________
Leah just moved and she's looking for a new dance studio. She gets to list the price from tip top toes charges $300 for 12 classes and groovin amd movin charges $264 11 classes which studio offers the better deal?
hey do any of yall now what 65'6 x777
Answer:
If you mean 656, then the answer is 509,712.
Edit: If you're talking about measurements, then it would be 50,893 feet and 6 inches.
If a dress costs $27.00 when it’s on sale for 10% off, what is its original cost?
what is the symbol called ? (i just need the symbol dont solve!)
Answer:
The symbol is a variable called x, which is a mathematical term used to substitute values in mostly linear and quadratic equations.
Answer:
a term.
Step-by-step explanation:
(I'm assuming you're asking about the underlined,)
therefore the 9x is a term
(top line)
the 9 is a coefficient
the x is a variable
5 is a constant
- (subtraction sign) is the operator.
9x - 5 is an expression
(bottom line)
the 3x is also a term
x is the variable
3 is a coefficient
4 is the constant
the + (addition sign) is the operator
3x + 4 is the expression.
the answer would be a constant and a term
hope this helps:)
Y=-2x²-4 solve for y when x=3
Answer:
Y=-58
Step-by-step explanation:
Y=-2(3)^(2)-4
Y=-2(3*3*3)-4
Y=-2(27)-4
Y=-54-4
Y=-58
Use SOHCAHTOA to find the side measure. Show work. Round to one decimal place.
The value of the n is 64.04 after applying the tan ratio which is opposite to adjacent (TOA)
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a right angle triangle shown in the picture.
We can use SOHCAHTOA to find the unknown length.
Using the ratio of tan which is opposite to adjacent (TOA)
tan8 = 9/n
n = 64.038 ≈ 64.04
Thus, the value of the n is 64.04 after applying the tan ratio which is opposite to adjacent (TOA)
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I need help with 7 and 4 and 9 also 10
I will give the most higher points I got
Learners have to demonstrate knowledge and skills in calculating quantities
such as mass, length, perimeter, temperature and the volume of objects. When
teaching conversions, emphasis must be placed on multiplication by a
thousand (since "kilo" means thousand) and one thousandth (since "milli"
means one thousandth). Design an instructional activity to explain how you
would teach grade 4 learners the conversion of units when measuring length.
Refer to page 25 of the CAPS document, the second bullet under
‘Calculations and problem-solving involving length’. Your focus should be
on whole number
The instructional activity to explain the conversion will be:
What real-life situations require you to convert measurements from one unit to another?What is the difference between standard and metric measurement? What should the conversion lessons include?The lessons should include:
How to convert within standard units of distance, mass, and timeThe relationship between metric conversions and decimal numbers in the base-ten systemHow to convert metric measurements of distance and mass.Learn more about instructional activity on:
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d=√(-4-42.78)^2 + (3-44.78)^2
The expression is equal to 3sqrt(517)/5
One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 28. Find the length of the hypotenuse.
In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearesttenth of a cm, how long is that leg?
Evaluate: sin (Arccos(5/13))
Evaluate: tan(Arctan(π/6))
1) If we let the lengths of the legs be x and 2x, then by the Pythagorean theorem,
[tex]x+2x+\sqrt{x^{2}+(2x)^{2}}=28\\3x+x\sqrt{5}=28\\x(3+\sqrt{5})=28\\x=\frac{28}{3+\sqrt{5}} \cdot \frac{3-\sqrt{5}}{3-\sqrt{5}}=21-7\sqrt{5}[/tex]
This means that the length of the hypotenuse is:
[tex]\sqrt{5}(21-7\sqrt{5})=\boxed{21\sqrt{5}-35}[/tex]
2) (Diagram attached) We know that
[tex]\cos 51^{\circ}=\frac{x}{58}\\x=58 \cos 51^{\circ} \approx \boxed{36.5}[/tex] (in cm)
3) From the Pythagorean identity,
[tex]\sin^{2}\left (\arccos \frac{5}{13} \right)+\cos^{2} \left (\arccos \frac{5}{13} \right)=1\\\left(\frac{5}{13} \right)^{2}+\sin^{2} \left (\arccos \frac{5}{13} \right)=1\\\frac{25}{169}+\sin^{2} \left (\arccos \frac{5}{13} \right)=1\\\sin^{2} \left (\arccos \frac{5}{13} \right)=\frac{144}{169}\\\sin \left (\arccos \frac{5}{13} \right)=\boxed{\frac{12}{13}}[/tex]
4) [tex]\frac{\pi}{6}[/tex]
The table below shows how the age of a certain tree is related to the diameter
(width) of its trunk. How old (in years) is a tree whose trunk is 11 inches in
diameter?
Trunk diameter
(inches)
Age
(years)
4
10
5
20
6
30
7
40
8
50
9
60
The age of a tree when the diameter is 11 inches is 80.
What is the age of the tree?The age of the tree increases by 10 with a 1 inch increase in the diameter of the trunk. This represents a linear increase.
The equation that can be used to represent the age of a tree given its diameter is :
age of the tree when the diameter is 4 inches + [(difference between 11 inches and 4 inches) x rate of change in age)
10 + (10 x 7) = 80
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What is the probability of picking a blue marble and flipping heads?
Answer:
7/11
Step-by-step explanation:
blue = 1 + 1 + 1 + 1 + 1 + 1 + 1 = 7 that will be blue.
green = 1 + 1 + 1 + 1 = 4 that will be green.
So it’s going to be 7 + 4 = 11 in total then do
7/11
Is it 7/22
what's a quarter of 46.5
Answer:
11.625 or mixed number form 11 [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
divide 46.5 by 4
what is the vertex of y= -x^2+10x
[tex]y = -x^2+10x\implies y = -x^2+10x+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+10}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 10}{2(-1)}~~~~ ,~~~~ 0-\cfrac{ (10)^2}{4(-1)}\right)\implies \left( \cfrac{10}{2}~~,~~\cfrac{100}{4} \right)\implies (5~~,~~25)[/tex]
Translate this phrase into an algebraic expression.
8 more than twice Jenny's age
Use the variable j to represent Jenny's age. Please help.. :(
Answer:
2j + 8
Step-by-step explanation:
Given: 8 more than twice Jenny's age
Let j = Jenny's age
"twice Jenny's age" means double (multiply by 2) Jenny's age = 2j
"more than" means to add, so "8 more than" = + 8
Therefore:
"8 more than twice Jenny's age" = 2j + 8
Please help , I litteraly have a F in Math
Answer:
A=3
B=31
Step-by-step explanation:
A)5-2=3
b)
17-10=7
10-5=5
7-5=2
2×7=14
14+17=31
M
x-2
20
L
Find the value of x.
A.2
B.4
C.6
D.8
Answer:
X=4
Step-by-step explanation:
Eveything is explained in the pic. Hope that helps ;)
WHAT IS THE ANSWER OF y12+b16-8=
Answer:
[tex]y^{12} + b^{8} \\OR\\12y + 8b[/tex]
Step-by-step explanation:
If the statement is
[tex]y^{12} + b^{16-8} \\y^{12} + b^{8} \\[/tex]this can't be more simplified
If the statement is
[tex]y{12} + b{16-8} \\y{12} + b{8} \\\\rearrange\\12y + 8b[/tex]