26 ptss!! select the expressions that are equivalent to the expression below.
Answers
Answer:
1st, 2nd, and last.
Step-by-step explanation:
For the first two common rules can be applied such as [tex]n\sqrt{a/b}[/tex] = [tex]\frac{\sqrt[n]{a} }{\sqrt[n]{b} }[/tex] and that [tex]\sqrt[n]{\frac{a}{b} } = (\frac{a}{b})^{n}[/tex]
and for the last one this is just simplifying the radical and if you factor it you realize that, [tex]\frac{750}{512} = \frac{5^3}{8^3}*6[/tex] meaning that you can take the radical off of 5/8 and end up with that final answer
Answer:(A), (B) and (E)
Step-by-step explanation:
I got a 100% on my test
Related Questions
the perimeter of a rectangle if the width is 3 centimeters and the length is 6 centimeters longer than the width.
Answers
Answer:
24
Step-by-step explanation:
Length 9 (3+6)
Width 3
Perimeter = 2 times length + 2 times width
18 + 6 = 24
Yanni threw his paper airplane 15 1/2 feet. Adrian threw his paper airplane 3/4 of yanni's distance. What is the distance Adrian paper airplane? Explain how you found your answer
Answers
Answer:
19.125
Step-by-step explanation:
multiply 15.5 by 3 and then divide the answer by 4
Final answer:
To find the distance Adrian's paper airplane traveled, convert Yanni's distance to an improper fraction, calculate 3/4 of that, and then convert back to a mixed number. Adrian's paper airplane flew 11 5/8 feet.
Explanation:
The question asks us to calculate the distance Adrian's paper airplane traveled, given that it is 3/4 of the distance Yanni's airplane traveled, which was 15 1/2 feet. First, we need to convert Yanni's distance to an improper fraction. This gives us 31/2 feet. To find 3/4 of this distance, we multiply 31/2 feet by 3/4:
(31/2) × (3/4) = (31 × 3) / (2 × 4) = 93/8 feet.
Now, we convert the improper fraction back to a mixed number to find the distance. This gives us 11 5/8 feet (since 93 divided by 8 is 11 with a remainder of 5).
Therefore, Adrian's paper airplane traveled a distance of 11 5/8 feet.
3. A scientist starts an experiment with 5 bacteria. The number triples every 30
minutes. How many bacteria are in the culture after 2 hours and 30 minutes?
Answers
Answer:
1215 bacteria
Step-by-step explanation:
5 x 3 = 15 (after 30 minutes)
15 x 3 = 45 (after 60 minutes)
45 x 3 = 135 (after 90 minutes)
135 x 3 = 405 (after 120 minutes)
405 x 3 = 1215 (after 150 minutes)
Keith has $500 in a savings account at the beginning of the summer. He withdraws $25 per week for food,clothing, and movie tickets. How many weeks can Keith withdraw money from his account?
Answers
Answer:
20 weeks.
Step-by-step explanation:
So, he has $500 in savings and he's taking out $25 each week. That would be $25 x ?. Which is the same as 500 divided by 25 which equals 20. I hope this helps!
Keith can withdraw $25 each week from his $500 savings account for 20 weeks.
Keith starts with $500 in his savings account and withdraws $25 every week. To determine how many weeks he can continue these withdrawals, we need to divide his initial amount by the weekly withdrawal amount.
Let's perform the calculation step by step:
Initial amount in the savings account: $500Weekly withdrawal amount: $25Number of weeks Keith can withdraw money = $500 / $25Perform the division: $500 ÷ $25 = 20 weeksSo, Keith can withdraw money from his account for 20 weeks.
Rewrite the function f of x equals 4 times one third to the 2 times x power using properties of exponents. f of x equals 4 times one ninth to the x power f of x equals 4 times two sixths to the x power f of x equals 16 times one third to the x power f of x equals 16 times one ninth to the x power
Answers
Answer:
A
Step-by-step explanation:
Answer:
Option 1
Step-by-step explanation:
Given : Function f of x equals 4 times one third to the 2 times x power.
To find : Rewrite the function using properties of exponents ?
Solution :
Writing the function in numeric terms,
f of x equals 4 times one third to the 2 times x power
i.e. [tex]f(x)=4\times (\frac{1}{3})^{2x}[/tex]
Solve the expression,
[tex]f(x)=4\times (\frac{1}{3}^2)^{x}[/tex]
[tex]f(x)=4\times (\frac{1}{9})^{x}[/tex]
i.e. f of x equals 4 times one ninth to the x power.
Therefore, Option 1 is correct.
10
TIME REMAINING
53:10
The functions f(x) and g(x) are graphed.
Which represents where f(x) = g(x)?
O f(2) = g(2) and f(0) = g(0)
O f(2) = g(0) and f(0) = g(4)
O f(2) = g(0) and f(4) = g(2)
O f(2) = g(4) and f(1) = g(1)
Answers
Answer:
first one. Since its X crosses or passes (2,0)
Step-by-step explanation:
The value of function represents with same domain f(x)= g(x) is f(2) = g(2) and f(0) = g(0).
We know that two functions f and g are said to be equal if:
(i) f and g have same domain D
(ii) for all x ∈ D, f(x) = g(x)
Thus, we must select the response that best captures the situation where f(x) = g. (x)
Considering the fact that f(x) and g(x) are defined on the same domain
If they are equivalent for all values of x in the domain, then f(x) = g(x).
Thus, f(2) = g(2) and f(0) = g(0)
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you are designing a room for a house and are drawing a floor plan. The room is actually 18 feet wide. On your floor plan, you draw the room as 6 inches wide. what is the scale factor for the floor plan
Answers
Answer:
1:3
Step-by-step explanation:
18 / 6 = 3
Answer:
3 feet per inch
Step-by-step explanation:
trust me bro
in this diagram below, the 2 line segments are congruent. Find the value of x
Answers
Answer:
Step-by-step explanation:
because the two line segments are the same length-->
12+10-x=18
x=22-18=4
The question aims to determine the value of x for two congruent line segments, typically involving algebraic and geometric methods; however, no specific solution can be provided without the diagram.
Explanation:The question involves finding the value of x when given two congruent line segments in a diagram. This typically requires the use of algebraic methods or the application of geometric theorems to establish relationships between the lengths represented in the diagram and solve for x.
Without the specific diagram, we cannot provide the direct steps to solve for x.
However, the context suggests the use of equations to calculate lengths. Common strategies include setting equations equal to each other when line segments are congruent and simplifying to find x.
The mention of bisectors and lines intersecting at right angles can also imply the use of properties related to parallel and perpendicular lines or the Pythagorean theorem.
Remember, when equations have two solutions for x, it's necessary to consider which solution is consistent with the geometric context of the problem.
Solve 23(3x+9)=−2(2x+6).
Answers
(23 * 3x) + (23 * 9) = (-2 *2x) + (-2*6)
(69x) + (207) = (-4x) + (-12)
Add the lowest variable to both sides which turns 69x to 73x.
73x +207 = -12
Subtract 207 from both sides.
73x = -219
Divide both sides by 73.
73x/73 = -219/73
Answer: x = -3
Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on the total investment. How much money did he put in each account?
Answers
Answer:
Mathew invested $600 and $2400 in each account.
Solution:
From question, the total amount invested by Mathew is $3000. Let p = $3000.
Mathew has invested the total amount $3000 in two accounts. Let us consider the amount invested in first account as ‘P’
So, the amount invested in second account = 3000 – P
Step 1:
Given that Mathew has paid 3% interest in first account .Let us calculate the simple interest [tex](I_1)[/tex] earned in first account for one year,
[tex]\text {simple interest}=\frac{\text {pnr}}{100}[/tex]
Where
p = amount invested in first account
n = number of years
r = rate of interest
hence, by using above equation we get [tex](I_1)[/tex] as,
[tex]I_{1}=\frac{P \times 1 \times 3}{100}[/tex] ----- eqn 1
Step 2:
Mathew has paid 8% interest in second account. Let us calculate the simple interest [tex](I_2)[/tex] earned in second account,
[tex]I_{2} = \frac{(3000-P) \times 1 \times 8}{100} \text { ------ eqn } 2[/tex]
Step 3:
Mathew has earned 4% interest on total investment of $3000. Let us calculate the total simple interest (I)
[tex]I = \frac{3000 \times 1 \times 4}{100} ----- eqn 3[/tex]
Step 4:
Total simple interest = simple interest on first account + simple interest on second account.
Hence we get,
[tex]I = I_1+ I_2 ---- eqn 4[/tex]
By substituting eqn 1 , 2, 3 in eqn 4
[tex]\frac{3000 \times 1 \times 4}{100} = \frac{P \times 1 \times 3}{100} + \frac{(3000-P) \times 1 \times 8}{100}[/tex]
[tex]\frac{12000}{100} = \frac{3 P}{100} + \frac{(24000-8 P)}{100}[/tex]
12000=3P + 24000 - 8P
5P = 12000
P = 2400
Thus, the value of the variable ‘P’ is 2400
Hence, the amount invested in first account = p = 2400
The amount invested in second account = 3000 – p = 3000 – 2400 = 600
Hence, Mathew invested $600 and $2400 in each account.
Round 19,837 to the nearest hundred.
Answers
The answer is 19,800
If you need a better explanation just as in the comments.
Happy to help! Please mark as BRAINLIEST! Thanks
Answer:
19,837 rounded to the nearest hundred is 19,800
Step-by-step explanation:
so we know that 4 and under we keep the number the same, so the 3 in the tens place means that we keep the 8 ind the hundreds place the same and so that leads us to our answer, 19,800
Hope I helped :)
I need help on 21 can you please show your work
Answers
A house on the market was valued at $262,000. After several years, the value increased by 9%. By how much did the house's value increase in dollars? What is the current value of the house?
Answers
Current value of the house is 285,580
To find the increase in value you multiply the value of the house at the start and multiply it by 0.09 to represent the 9% since it is 9/100%
To find the current value of the house you add the increased value to the original price of the house
Answer:
The house increases by $23,580 and he current value of the house is $285,580
Step-by-step explanation:
A house on the market was valued at $262,000. After several years, the value increased by 9%.
The first part of the question is to find by how much the house's value increase in dollars, to calculate this, we will simply find;
9% of $262,000
= [tex]\frac{9}{100}[/tex] × $262 000
= [tex]\frac{2358000}{100}[/tex]
=$23580
Therefore, the house's value increase by $23580
The second part of the question is to fin the current value of the house. Hence;
Current value of the house = $262,000 + $23580=$285,589
Therefore the current value of the house is $285,589
Find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope intercept form. (3,4) and y= -4/9x-3
Answers
Answer:
Step-by-step explanation:
To find the slope of a line perpendicular to y = (-4/9)x - 3, take the negative reciprocal of this slope -4/9. The slope of the new line is thus 9/4.
Now we have this data to work with: m = 9/4, y = 4 and x = 3. Subbing this info into y = mx + b, to obtain the value of b, we get:
4 = (9/4)(3) + b, or
4 = 3/4 + b. Thus, b = 3 1/4, or b = 13/4.
The desired equation is
y = (9/4)x + 13/4.
What is the polynomial function of least degree whose only zeros are -3, ,-2, and 4 ?
Answers
The polynomial function of least degree with zeros -3, -2, and 4 is f(x) = (x+3)×(x+2)×(x-4), which is a cubic polynomial.
The polynomial function of least degree with given zeros of -3, -2, and 4 is derived from the fact that if a polynomial has zeros at x=a, x=b, and x=c, then it can be represented as f(x) = k×(x-a)×(x-b)×(x-c), where k is any non-zero constant. Given the zeros -3, -2, and 4, the polynomial function is:
f(x) = k×(x+3)×(x+2)×(x-4)
Because the question does not specify a leading coefficient, we can assume k=1 for the least degree polynomial. Thus, the final form of the polynomial would be:
f(x) = (x+3)×(x+2)×(x-4)
Expanding this would give us a cubic polynomial, which is the polynomial of least degree that satisfies the condition of having exactly these three zeros.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Divide the following polynomial and then place the answer in the proper location on the grid.
8y 7 ÷ 4y 5
Answers
Answer:
2y^2. 8/4 = 2 and y^7/y^5 is y^2 i don't know if this is what you completely asked for but here is the answer
Step-by-step explanation:
Division of the given polynomial [tex]8y^{7}[/tex] ÷ [tex]4y^{5}[/tex]is equal to [tex]2y^{2}[/tex].
What is division?" Division is defined as the distribution of a given quantity into equal parts as per the given condition."
Formula used
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] [tex]= a^{m-n} , m > n[/tex]
According to the question,
Given polynomial,
[tex]8y^{7}[/tex] ÷ [tex]4y^{5}[/tex]
Division of given polynomial also use the formula we get,
[tex]8y^{7}[/tex] ÷ [tex]4y^{5}[/tex]
[tex]= 2 y^{7-5} \\\\= 2y^{2}[/tex]
Hence, division of the given polynomial [tex]8y^{7}[/tex] ÷ [tex]4y^{5}[/tex]is equal to [tex]2y^{2}[/tex].
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Can someone please help me
Answers
Answer:
C
Step-by-step explanation:
Given
2r + (t + r) ← distribute parenthesis by 1
= 2r + t + r ← collect like terms
= 3r + t
Which is not represented by the given options → C
11 help cause I'm stuck
:3
11
Answers
let's say each restaurant has a container of soup which is the same size, let's say there is a total of "s" amount of soup in the container of each restaurant, so 5/4 of that much will just be (5/4)s and 7/4 of "s" is just (7/4)s.
well, one restaurant makes 20 servings from 5/4 of it and the other makes 25 from 7/4 of it,
[tex]\bf \cfrac{5}{4}s\div 20\implies \cfrac{5}{4}s\div \cfrac{20}{1}\implies \cfrac{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{4}s\cdot \cfrac{1}{\underset{4}{~~\begin{matrix} 20 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \boxed{\cfrac{1}{16}}s \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{4}s\div 25\implies \cfrac{7}{4}s\div \cfrac{25}{1}\implies \cfrac{7}{4}s\cdot \cfrac{1}{25}\implies \boxed{\cfrac{7}{100}}s[/tex]
now, which one is larger? well, we can simply put both fractions with the same denominator by multiplying one by the other's denominator,
[tex]\bf \cfrac{1}{16}\cdot \cfrac{100}{100}\implies \boxed{\cfrac{100}{1600}}\qquad \qquad \qquad \stackrel{\textit{\Large larger}}{\cfrac{7}{100}\cdot \cfrac{16}{16}\implies \boxed{\cfrac{112}{1600}}}[/tex]
is -8 a solution to the equation 3x=16-5x
Answers
Answer: YEP
Step-by-step explanation: -8 makes it -24=16-40, which is -24
I HOPE THIS HELPS. HAVE THE MOST AMAZING WEEKEND EVER CHILD
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i need the answer on number 8
Answers
Answer:
van: 18
bus: 59
Step-by-step explanation:
x: students per van
y: students per bus
Highschool A:
x + 6y = 372 / *(-2)
Highschool B:
4x + 12y = 780
-2x - 12y = - 744
2x = 36
x = 18
Replace x in 1 equation
18 + 6y = 372
y = 59
The polygon below is an irregular pentagon.
Answers
Answer:
○ D) Need more information
Step-by-step explanation:
We do not have have enough angle measures to know how to solve this, although each interior angle in a pentagon is 108°.
I am joyous to assist you anytime.
George has a mass of 65kg. What would George weigh on the Moon? (The gravitational field strength on the Moon is 1.6N/kg.)
Answers
George would weigh
65 kg × 1.6N /kg = 104 Newtons
That's compared to around 650 Newtons on earth.
Answer: Weight of George on Moon =104 N
Step-by-step explanation:
Given : George has a mass of 65 kg.
The gravitational field strength on the Moon is 1.6N/kg.
Then, the weight of George on Moon = George's Mass x Gravitational field strength
=[tex]65\times1.6=104\text{ Newtons}[/tex]
Hence, the weight of George on Moon =104 N
The slope of the line below is -1/7. Write a point slope equation of the line using the coordinates of the labeled point
Answers
Answer:
○ D. y - 3 = -⅐(x - 3)
Step-by-step explanation:
According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs.
I am joyous to assist you anytime.
Equation of line is [tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]
Formula for finding Equation of line?[tex]y - y_{1} = m ( x - x_{1} )[/tex]
where [tex](x_{1},y_{1})[/tex] are coordinates and m is slope.
How to solve?
Given:- Coordinate (3,3) and slope [tex]\frac{-1}{7}[/tex]
Equation of line:
[tex]y - y_{1} = m ( x - x_{1} )[/tex]
given : [tex]x_{1} = 3 , y_{1} = 3 , m = -\frac{1}{7}[/tex]
substituting values, Equation of line is:
y - 3 = [tex]-\frac{1}{7}[/tex] ( x - 3)
[tex]y = - \frac{x}{7} + \frac{3}{7} + 3[/tex]
[tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]
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Essential Question How do the signs of
factors affect their product?
Answers
Answer:
If a negative number is multiplied with a positive number, the result will be negative. If two positive numbers are multiplied, the result will be positive. If two negative numbers are multiplied, the result will also be positive.
Mathematical signs are very important to take note of when multiplying factors.
The product of an addition and subtraction sign results in a negative sign. This is important as it affects the signs of factors affecting their product. For instance; -3 (2 + 5)According to distributive law, the negative sign will affect the positive sign in the bracket to have -3(2) -3(5) = -6 - 15
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u=3a-1
Solve the equation for the indicated variable: a
Answers
Pd).
cot x/sec x
show that -=cos ecx -sin x
Answers
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• cot x = [tex]\frac{cosx}{sinx}[/tex]
• sec x = [tex]\frac{1}{cosx}[/tex] and cosec x = [tex]\frac{1}{sinx}[/tex]
Consider the left side
[tex]\frac{cotx}{secx}[/tex]
= [tex]\frac{cosx}{sinx}[/tex] × cosx
= [tex]\frac{cos^2x}{sinx}[/tex]
= [tex]\frac{1-sin^2x}{sinx}[/tex]
= [tex]\frac{1}{sinx}[/tex] - [tex]\frac{sin^2x}{sinx}[/tex]
= cosec x - sin x
= right side ⇒ verified
What digit is in the tens place in the number 35,176?
Answers
Answer:7
Step-by-step explanation:
Ten Thousands Thousands Tens
3 5 7
Answer:
7
Step-by-step explanation:
The ones place always starts on the left then it works it way up.
ones, Tens, hundreds, thousands, ten thousands and it goes on in the same ones tens hundreds pattern
7x = 2y solve for y in terms of x
Y=?
Answers
Answer:
7x/2
Step-by-step explanation:
7x=2y
1) Divide both sides by 2:
y=7x/2
A waitress sold 10 ribeye steak dinners and 45 grilled salmon dinners, totaling $591.99 on a particular day. Another day she sold 24 ribeye steak dinners and 15 grilled salmon dinners, totaling $583.39. How much did each type of dinner cost?
Answers
Answer:
The cost of a ribeye steak dinner is $18.68 and the cost of a grilled salmon dinner is $9.00
Step-by-step explanation:
Let
x ----> the cost of a ribeye steak dinner
y ----> the cost of a grilled salmon dinner
we know that
10x+45y=591.99 -----> equation A
24x+15y=583.39 ----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (18.68,9.00)
see the attached figure
therefore
The cost of a ribeye steak dinner is $18.68 and the cost of a grilled salmon dinner is $9.00
Mario wants to put a rectangular fence around the pool in his backyard. Since one side is adjacent to the house, he will only need to fence three sides. There is one long side parallel to the house, and two shorter sides. He needs 130 feet of fencing to enclose the pool. The length of the long side is 10 feet less than twice the width. Find the length and width of the pool area to be enclosed.
Answers
Answer:
The length and width of the pool area is:
Length = 60 feet. Width = 35 feet.Step-by-step explanation:
Since the 130-foot fence should enclose only three parts of the pool (two wide and one long), equations are performed to express the information provided.
First an equation that says the total feet in the fence:
X + 2Y = 130 (where X is the length and Y is the width) X = 2Y-10 (since the length is 10 feet less than twice the width)With these equations, we proceed to replace the second equation in the first one and solve for Y:
X + 2Y = 130 2Y -10 + 2Y = 130 4Y - 10 = 130 4Y = 130 + 10 Y = 140/4 Y = 35 feetSince we already know that the width corresponds to 35 feet, we use the second equation to find the value of X:
X = 2Y-10 X = 2 (35) -10 X = 70 - 10 X = 60With which it is identified that the length is 60 feet.
To find the dimensions of the pool area, we can set up an equation using the given information. Solving the equation, we find that the width of the pool area is 35 feet and the length is 60 feet. Therefore, the dimensions of the pool area to be enclosed are 35 feet by 60 feet.
Explanation:To find the dimensions of the pool area, we will set up an equation based on the given information. Let's say the width of the pool area is 'w'. According to the problem, the length of the long side is 10 feet less than twice the width, so the length can be represented as 2w - 10. Since Mario needs to fence three sides, we can calculate the total length of the fence as follows:
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