What is the value of x in the product of powers 55 · 5x = 52 ?
Answer:
-3
Step-by-step explanation:
At the start of 2014 lucy's house was worth ?200000. The value of the house increased by 5% each year. Work the value of the house at the start of 2017
Answer:
Value of house in 2017 = 231525$
Explanation:
At the start of 2014 worth of Lucy's house = 200000$
Rate of increase of the value of the house = 5% = 0.05
Value of house in 2015 = 200000+0.05*200000 = 210000$
Value of house in 2016 = 210000+0.05*210000 = 220500$
Value of house in 2017 = 220500+0.05*220500 = 231525$
Number of years in between 2014 and 2017 = 2017 - 2014 = 3 years.
Value of house in 2017 [tex]=200000*1.05^3=231525$[/tex]
Given the following diagram, find the missing measure.
Given:
m 2 = 30°, m P =
30
60
90
120
Answer:
Measure of ∠P = 60°
Step-by-step explanation:
Consider triangle PMO.
Since PM is perpendicular to MO , hence m∠PMO = 90°
Also given that m∠MOP = m∠2 = 30°
And since sum of three angles of a triangle is 180°
⇒ m∠PMO + m∠MOP + m∠MPO = 180°
⇒m∠MPO = 180° - (m∠PMO + m∠MOP) = 180° - ( 90 + 30 ) = 60°
Hence m∠MPO that is m∠P is 60°
Answer:
m 2 = 30°, m P = 60
The correct choice is 60
Jasmine is a receptionist at a doctors office . She books 36 appointments each day. Four out of every 24 appointments are cancelled. How many appointments are cancelled each day?
Answer:
6 appointments are cancelled per day
Step-by-step explanation:
Question says 4 out of 24 appointments are cancelled.
It means out of 1 appointment , the cancelled appointments = [tex]\frac{4}{24}[/tex]
=[tex]\frac{1}{6}[/tex]
Now the questions says each day there are 36 appointments
And we have to find how many appointments got cancelled each day,
It means we have to find how many appointments got cancelled out of 36 appointments each day
So we multiply 36 by [tex]\frac{1}{6}[/tex]
=[tex]36 * \frac{1}{6}[/tex]
= 6
Hence , 6 appointments got cancelled each day.
Jasmine has 6 appointments cancelled per day, determined by scaling the given cancellation ratio (4 out of every 24) to match the number of daily appointments she books (36).
Explanation:To answer this question, we first need to understand the rate at which appointments are cancelled. The problem states that 4 out of every 24 appointments are cancelled. To find out how many appointments are cancelled each day, we use this ratio and apply it to the 36 appointments that Jasmine books each day.
First, we need to scale the ratio to match Jasmine's daily bookings. To do this, we multiply the numerator and denominator of the ratio by 36/24, which is 1.5. This gives us a new ratio of 6 cancellations for every 36 appointments.
So, each day, out of the 36 appointments that Jasmine books, 6 appointments are cancelled.
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The ratio of boys to girls at a rock concert was about 7 to 6. If there were, 1092 boys at the concert, how many girls were there?
Please solve
-1/3x > 5
A) x < -15
B) x > -15
C) x > -5/3
D) x<-5/3
Step 1. Simplify 1/3x to x/3
-x/3 > 5
Step 2. Multiply both sides by 3
-x > 5 * 3
Step 3. Simplify 5 * 3 to 15
-x > 15
Step 4. Multiply both sides by -1
x < -15
Your answer is A.
-7x − 3x + 2 = −8x – 8 .
SHOW WORK!!!
First, combine like terms
-7x - 3x = -10x
-10x + 2 = -8x - 8
Isolate the x. Add 8x to both sides, and subtract 2 from both sides
-10x (+8x) + 2 (-2) = -8x (+8x) - 8 (-2)
-10x + 8x = -8 - 2
Simplify. Combine like terms
-2x = -10
Isolate the x. Divide 2 from both sides
(-2x)/-2 = (-10)/-2
x = -10/-2
x = 5
5 is your answer for x
---------------------------------------------------------------------------------------------------------------------------
~Rise Above the Ordinary, Senpai
The solution of expression is,
x = 5
We have to given that,
Expression to solve,
-7x - 3x + 2 = - 8x - 8
Now, We can solve as,
-7x - 3x + 2 = - 8x - 8
First, combine like terms
-7x - 3x = -10x
-10x + 2 = -8x - 8
Add 8x to both sides, and subtract 2 from both sides
-10x (+8x) + 2 (-2) = -8x (+8x) - 8 (-2)
-10x + 8x = -8 - 2
Simplify. Combine like terms
-2x = -10
Divide 2 from both sides
(-2x)/-2 = (-10)/-2
x = -10/-2
x = 5
So, The solution of expression is,
x = 5
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There were 13,501 visitors to a museum in june.What is this number rounded to nearest ten thousand ?Explain how
13,501 rounded to the nearest ten thousand is 14,000. This is because if you look at the 3, the number next to it is 5, causing it to round up. Numbers 0-4 are rounded down, and numbers 5-9 are rounded up.
Answer:
10,000
Step-by-step explanation:
When we round a number to the nearest ten thousand we check the digit at the thousand place,
If the digit ≥ 5,
The number is rounded to next ten thousand,
If the digit < 5,
The number is rounded to previous ten thousand.
Here, the given number,
13,501,
Digit at thousand place = 3 ( < 5 )
Thus, 13,501 ≈ 10,000 ( nearest ten thousand )
Evaluate u + xy , for u = 2, x = 9, and y = 6. 17 56 24 66
Answer:
ans is 56
Step-by-step explanation:
for u = 2, x = 9, and y = 6
substituting into u + xy = 2 + 9*6 = 2 + 54 = 56
Answer:
56
Step-by-step explanation:
2+9*6
=2+54
=56
what is the y-intercept of 6x+ 12y= 60?
A. 5
B. 10
C .60
What is the slope of the line that contains the points (1, −1) and (−2, 8)?
A. −3
B. 7 over 3 negative
C. 1 over 3 negative
Problem 1
Plug in x = 0 and solve for y to get the y intercept
6x+12y = 60
6(0)+12y = 60
12y = 60
12y/12 = 60/12 ... divide both sides by 12
y = 5
Answer: A) 5
======================================
Problem 2
Use the slope formula.
The two points are (x,1, y1) = (1, -1) and (x2, y2) = (-2, 8)
m = (y2-y1)/(x2-x1)
m = (8-(-1))/(-2-1)
m = (8+1)/(-2-1)
m = 9/(-3)
m = -3
Answer: A) -3
Catalina multiplied 842 and 3 and got 3,326. How can see check to see if her answer is reasonable?
divide 3,326 by 3 and if she gets 842 it should be reasonable
Answer:
No her answer is not reasonable. If you round 842 to 850 and multiplied that by 3 you would get 2,550.
Step-by-step explanation:
Match the numbers to the correct number sentence 1. seven thousand, twenty-eight 1 7,828 2. seven thousand, two hundred eight 9,099 3. seven thousand, two hundred eighty-eight 9,900 4. seven thousand, eight hundred twenty-eight 3 7,288 5. seven thousand, eighty-eight 2,577 6. two thousand, five hundred seventy 5 7,088 7. two thousand, five hundred seven 2 7,208 8. two thousand, five hundred seventy-seven 2,570 9. two thousand, fifty-seven 9,999 10. two thousand, seventy-seven 9,090 11. nine thousand, nine 9,009 12. nine thousand, nine hundred 7,028 13. nine thousand, ninety 2,057 14. nine thousand, ninety-nine 2,077 15. nine thousand, nine hundred ninety-nine 2,507 NEXT QUESTION ASK FOR HELP
The question requires matching verbal descriptions of numbers with their corresponding numeric representations using decimal notation. The place value of each digit is used to determine the correct numeric form of the verbal description.
Explanation:When matching the verbal descriptions to the correct number sentences, you will use the value of each place within a number to write it in decimal notation. For example, in the number 1837, the digit 7 is in the ones place (10⁰ = 1), the digit 3 is in the tens place (10¹ = 10), the digit 8 is in the hundreds place (10² = 100), and the digit 1 is in the thousands place (10³ = 1000). This helps us correctly identify the number sentences.
Seven thousand, twenty-eight: 7,028Seven thousand, two hundred eight: 7,208Seven thousand, two hundred eighty-eight: 7,288Seven thousand, eight hundred twenty-eight: 7,828Seven thousand, eighty-eight: 7,088Two thousand, five hundred seventy: 2,570Two thousand, five hundred seven: 2,507Two thousand, five hundred seventy-seven: 2,577Two thousand, fifty-seven: 2,057Two thousand, seventy-seven: 2,077Nine thousand, nine: 9,009Nine thousand, nine hundred: 9,900Nine thousand, ninety: 9,090Nine thousand, ninety-nine: 9,099Nine thousand, nine hundred ninety-nine: 9,999
A line segment whose endpoints are (4,2) and (3,7) is translated to the right 5 units and up one unit. Which of the following matrix sums represents this translation?
5 units right: x + 5
1 unit up: y + 1
(x, y) → (x + 5, y + 1)
(4, 2) → (4 + 5, 2 + 1) = (9, 3)
(3, 7) → (3 + 5, 7 + 1) = (8, 8)
[tex]\begin{array}{ccc}\ \ x&y\end{array}\ \ \ \ \begin{array}{ccc}\ \ x&y\end{array}\\\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right]=\left[\begin{array}{ccc}9&3\\8&8\end{array}\right][/tex]
Answer:
[tex]\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right][/tex]
A problem states: “there are 9 more children than parents in a room. There are 25 people in the room in all. How many children are there in the room?”
Which expression represents the number of parents?
A) c•9
B) c-9
C) c+9
D) 9-c
Answer: c - 9
Step-by-step explanation: i did the quiz and this is the right answer
what expression can be used to find 38 percent of 22
Answer:
use the butterfly method
Step-by-step explanation:
Question 9 Unsaved For all x, (2x+3)^2=? Question 9 options: 4x^2+9 4x^2+6x+9 4x^2+6 4x^2+12x+9
Use [tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](2x+3)^2=(2x)^2+2(2x)(3)+3^2=4x^2+12x+9[/tex]
Tobeg says the equation 3x + 2y= 270 and y=4/5x + 20 intersect at the point (50,60) is this true how do you know
ANSWER
Yes it is very true
EXPLANATION
If the two equations intersect at [tex](50,60)[/tex] then this point must satisfy the two equations.
[tex]3x+2y=270---(1)[/tex]
We substitute [tex](50,60)[/tex] in to erquation (1)
[tex]3(50)+2(60)=270[/tex]
[tex]150+120=270[/tex]
[tex]270=270[/tex]
[tex]y=\frac{4}{5}x+20 ---(2)[/tex]
We now substitute [tex](50,60)[/tex] in to erquation (2) also
[tex]60=\frac{4}{5}(50)+20[/tex]
[tex]60=40+20[/tex]
[tex]60=60[/tex]
Since the point satisfy all the two equations, it is true that they intersect at [tex](60,50)[/tex]
Refer to the figure below. If m<60 degrees l, find the measure of the other angles. Show your work(or explain) to receive full credit.
Answer: m<2=
Answer: m<3=
Answer: m<4=
Is it possible for a number to be a rational number that is not an interger but is a whole number. Explain
Whole numbers are a subset of integers, which in turn are a subset of rational numbers.
So, every whole number is an integer, and every integer is a rational number.
So, it is possible for a rational number not to be an integer. Think of any decimal number: 1.356 is a rational number, but it's not an integer.
On the other hand, if a number is not an integer, it can't be a whole number, because all whole numbers are integers.
Find the area of a rectangle with length (2x + 3) and width (x - 4). A) 2x2 - 11x - 12 B) 2x2 - 5x + 12 C) 2x2 + 11x + 12 D) 2x2 - 5x - 12
D
area of a rectangle = length × width
area = (2x + 3)(x - 4) ( expand using FOIL )
= 2x² - 8x + 3x - 12 = 2x² - 5x - 12 → D
An artist wants to frame a square painting with an area of 400 square inches if x is the length of the one side of the painting what equation ca you set up to find the length of a side how many solutions does the equation have?
There is only one solution to the equation. A quadratic equation has 2 solutions a positive and a negative, but since we are looking for length, the answer can only be postive. Area= side^2
400= x^2
sqrt(400)=x
20 inches = x
The length of one side is 20 inches
check: 20*20 = 400, which is the area of the square painting.
Josie watched a beetle on the sidewalk. It crawled 2/6 of a yard, then rested for a bit, and then crawled 1/4 of a yard farther. How far did the beetle crawl in all?
Fill in the blank. Given O below, you can conclude that OH is congruent to _____.
A. OE
B. O
C. LE
D. TG
Answer:
(A) OE
Step-by-step explanation:
From the given figure, it can be seen that TG and LI are the chords of the circle with center O such that TG=LI=10.4 which means that TG is congruent to LI.
Also, OE and OH gives the shortest distance(perpendicular) of the chord LI and TG respectively from center of circle O.
And, We know that "the congruent chords are equidistant from the center of a circle."
Therefore, we can conclude that, OH is congruent to OE.
Hence, option (A) is correct.
From the figure we can conclude that OH is congruent to OE.
Further Explanation:
Given:
The options are as follows,
A. OH is congruent to OE.
B. OH is congruent to OE.
C. OH is congruent to OE.
D. OH is congruent to OE.
Explanation:
A point is a location on the graph or at any surface.
A line is the distance between the two points that extends to infinite in both directions.
A ray is defined as the distance between the two points that extends to infinite in one direction.
Plane extends in two dimensions.
The length of TG and LI is [tex]10.4{\text{ units}}.[/tex]
LI and TG are the chords of the circle with same length.
OE and OH are the perpendicular bisector of the chords LI and TG respectively.
The given chords of the circle are equidistant from the center of the circle.
From the figure we can conclude that OH is congruent to OE.
Learn more:
If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard https://brainly.com/question/2479097. Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? https://brainly.com/question/1446243.
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Line and Rays
Keywords: congruent, fill, blank, conclude, OH, OE, chord, tangent, displacement, two chords, radius, center, circle, equidistant,
What is the answer to this question convert 330 grams to ounces
10.5821886 ounces is your answer
A function is shown.
f(x)=x2+2x−1
Which graph represents the function?
The fourth graph represents the function.
We have to rewrite the given function into the standard form of a parabola.
What is a parabola?A parabola is a U-shaped plane curve that is symmetrical about its vertex.
What is the standard form of a parabola?The standard form of a parabola is given by:
y = (x-h)²+k
Where (h,k) is the vertex of the parabola.
The given function is rewritten in its standard form:f(x) = x²+2x-1
We can rewrite this as:
f(x) = x²+2x+1-2
f(x) =( x+1)²-2
By observing the function in standard form, we can see that the vertex of the parabola is (-1,-2).Now compare this with the given graphs. The only graph that has its vertex at (-1,-2) is the fourth graph.
We have found the graph that represents the function f(x) = x²+2x-1 to be the fourth graph.
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What is the mode of this data set 55 78 43 39 78 61 75 50 43 78
Mode means MOST. Which number is displayed the most?
39, 43, 43, 50, 55, 61, 75, 78, 78, 78
Answer: 78
Note: I placed the data set into numerical order because it will help you to easily find the mode and also the median (middle number).
A piece of wood is divided into three pieces in the ratio 6:8:4. The length of the longest pieces is 144cm. Calculate the length of the wood.
3.24m
the longest piece will be associated with 8 parts of the ratio.
divide 144 by 8 to find 1 part of the ration then multiply this value by 6 and 4 for the remaining parts of the ratio
[tex]\frac{144}{8}[/tex] = 18 cm ← 1 part
6 parts = 6 × 18 = 108 cm
4 parts = 4 × 18 = 72 cm
length = 144 + 108 + 72 = 324 cm = 3.24m
Answer: 324 cm
Step-by-step explanation:
6 : 8 : 4
x18 x18 x18
108 144 72
108 + 144 + 72 = 324
Would a length of 650 feet meet the requirements for the runners' corral? If so, what would the width be? Justify your response with calculations.
The question in the photo is already answered but I need the question Above answered
The photo is just to give you guys the data for the coral.
Let
x-----------> the length of the rectangular corral
y-----------> the width of the rectangular corral
we know that
the area of the rectangular corral is equal to
[tex]A=x*y\\ A\geq 29,040\ ft^{2}[/tex]
so
[tex]x*y \geq 29,040[/tex] -------> inequality A
the perimeter of the rectangular corral is equal to
[tex]P=2x+y\\P \leq 1,364 ft[/tex]
so
[tex]2x+y \leq 1,364[/tex] -----> inequality B
using a graphing tool --------> resolve the compound system inequalities
see the attached figure
the solution is the shaded area
so
the length of 650 feet does meet the requirements of the runners corral
and the width is 64 ft-------> see the graph
the answer is
a) the length of 650 feet does meet the requirements of the runners corral
A sidewalk is built 12 bricks wide by laying each brick side by side.How many inches wide is the sidewalk if each brick meaaures 3 3/8 inches wide?
A sidewalk is built 12 bricks wide by laying each brick side by side.
The size of each brick measures [tex]3\frac{3}{8}[/tex]
Convert the mixed fraction into improper fraction
[tex]3\frac{3}{8}= \frac{27}{8}[/tex]
The width of each brick is [tex]\frac{27}{8}[/tex]
To built side walk, 12 bricks are used
To find the width of side walk , we multiply the number of bricks with the width of each brick
[tex]12 * \frac{27}{8}[/tex]
We can cancel out 12 and 8
[tex]3 * \frac{27}{2}[/tex]
[tex]\frac{81}{2}[/tex]
[tex]40\frac{1}{2}[/tex] inches
Simplify the expression.
{(-1)^3/(-3)^-3}^2
a. 1/729
b.3^-18
c. 729
d. 3^18