Answer:
5y+11
Step-by-step explanation:
y+2y+2y+2+9
5y+11
what is the lcm of 7÷25 and 3÷25
Answer:
LCM of 7/25 and 3/25 is 25
Step-by-step explanation:
The full meaning of LCM is Lowest (Least) Common Multiple
Lowest (Least)Common Multiple can be defined as the lowest or least number that is the multiple of two or more number. Note that this least number is not zero
Lowest(Least) common Multiple when applied to fractions is the least number that is the multiple of the denominators of the fraction.
In the above question, we are asked stop find the LCM of 7÷25 and 3÷25
= LCM of 7/25 and 3/25
The two denominators are the same, hence, the LCM is 25.
On a coordinate plane, triangle A B C is shown. Point A is at (negative 2, negative 4), point B is at (2, negative 1), and point C is at (3, negative 4). Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units
Answer:
B, 10+ /10 units
Step-by-step explanation:
please help
The midpoint (x, y) and the end point (x2, y2) are known. Find (x1, Y1) using the midpoint formula.
a. (x1,y1) = (2x + x2, 2y+y2)
b. (x1,y1) = (2x - x2, 2y - y2)
c. (x1,y1) = (x + x2, y + y2)
d. (x1,y1) = (x - x2, y - y2)
Answer:
B
Step-by-step explanation:
So this was a pretty difficult question to do algebraically so I just came up with an example.
Step-by-step explanation:
Hey,there!!!
Let's simply work with it,
We have,
One point is (x2,y2) and midpoint is(x,y).
Now, let's use midpoint formulae,
[tex](x ,\: y) = \frac{x1 + x2}{2} + \frac{y1 + y2}{2} [/tex]
Now, let's equate with their corresponding elements we get,
[tex]x = \frac{x1 + x2}{2} [/tex]
now, 2x=x1+x2
or, x1=2x-x2
and
[tex]y = \frac{y1 + y2}{2} [/tex]
now,
2y = y1+y2
or, y1 = 2y-y2
Therefore, the answer is (x1,y1)= { (2x-x2),(2y-y2) }
Hope it helps...
if b is the midpoint of ac and if c is the midpoint of bd, then what percent of cd is ac
Answer:
ac is 200% of cd
Step-by-step explanation:
To answer this question, we shall be making a visual representation.
Let’s take it one at a time.
Given;
b is the midpoint of ac
a b c
What this means is that a-b represents 50%, while bc represents another 50%
okay, we move on:
c is the midpoint of bd
b c d
What this means is that bc is 50%, while cd is another 50%.
So let’s combine the representations;
a 50% b 50% c 50% d
Now what does the question says again?
What percent of cd is ac?
From a to c, we can see two 50% which means 100%
while cd is just the regular 50%
So we can see that ac is actually twice cd
What we are saying here is , if cd is x, then ac is 2x
So we can restructure our question to mean, what percent of x is 2x?
That is simply 2x/x * 100 and that is 200%
Answer: ac is 200% of cd
Step-by-step explanation:
Help a friend out I don’t understand it
Answer:
THEY ARE COMPLIMENTARY BUT NOT NECESSARILY CONGRUENT.
Step-by-step explanation:
This is so because their lines don't meet.
Simplify the radical
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{54c}=\sqrt[3]{3*3*3*2c} =3\sqrt[3]{2c}[/tex]
Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$. [tex]Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.[/tex]
Answer:
[tex]x =-5\ - \sqrt{8}[/tex]
Step-by-step explanation:
Given
[tex]x^2 + 10x + 25 = 8[/tex]
Required
Find the smallest value of x
[tex]x^2 + 10x + 25 = 8[/tex]
Expand the expression on the right hand side
[tex]x^2 + 5x + 5x + 25 = 8[/tex]
Factorize
[tex]x(x+5)+5(x+5) = 8[/tex]
[tex](x+5)(x+5) = 8[/tex]
[tex](x+5)^2 = 8[/tex]
Take Square root of both sides
[tex]\sqrt{(x+5)^2} = \±\sqrt{8}[/tex]
[tex](x+5) = \±\sqrt{8}[/tex]
Remove bracket
[tex]x+5 = \±\sqrt{8}[/tex]
Subtract 5 from both sides
[tex]x+5-5 =-5\± \sqrt{8}[/tex]
[tex]x =-5\± \sqrt{8}[/tex]
[tex]x =-5\ + \sqrt{8}[/tex] or [tex]x =-5\ - \sqrt{8}[/tex]
Comparing both values of x;
The smallest value of x is
[tex]x =-5\ - \sqrt{8}[/tex]
One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hour is desired. Past studies suggest that a population standard deviation of hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.
Complete question:
One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hours is desired. Past studies suggest that a population standard deviation of 1.5 hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.
Answer:
111 students
Step-by-step explanation:
Given the following :
Margin of Error (E) = 0.28
Population standard deviation (sd) = 1.5
Recall:
Margin of Error(E) = Z * (sd/√n)
Taking a confidence interval of 95%
The Z value at a 95% confidence interval is 1.96
Plugging our values, we have :
Margin of Error(E) = Z * (sd/√n)
0.28 = 1.96 * (1.5/√n)
0.28 = 2.94 / √n
√n × 0.28 = 2.94
√n = 2.94 / 0.28
√n = 10.5
Square both sides to obtain n
n = 10.5^2
n = 110.25
Please help ! First one to give correct answer gets brainliest!
Answer:
(4x+1)²
Step-by-step explanation:
Complex numbers
[ = square root symbol
-[-64
How would I find this?
[tex]-\sqrt{-64}=-\sqrt{8^2\cdot (-1)}-8\sqrt{-1}=-8i[/tex]
If a square has a side of length 3, then it’s area is 9. This square has a side of length 3, so it’s area is 9. Is it valid or invalid?
Answer:
Yes it is valid
Step-by-step explanation:
A square is a geometric shape which is also known as a Quadrilateral. This means that it has 4 sides.
For a square, it's 4 sides are equal to one another or we can put it in other words as the length of the 4 sides of a square are congruent to one another.
From the above question, we are asked that:
"If a square has a side length of 3, it's area is 9. Is it valid or invalid?"
The above statement is valid. This is because, the formula for the Area of a Square is given as
L × L = L²
Where L = Side length = 3
Area = 3 × 3 = 3²
Area = 9
Therefore, the statement is valid.
Giving brainliest!!!! Plzz put the correct answers.
2^(10)= 2x...x2 how many times
15^(57)= 15x...x15 how many times
(-4)x...x(-4) 7 times =
(1.5)x...x(1.5) 12 times =
If you give me the answer after like an hour i willl report you!!
Answer:
See below
Step-by-step explanation:
aⁿ = a×a×a×....×a (power n of the number a = number a multiplied by itself n times)2^(10)= 2x...x2 how many times = 10 times 2
15^(57)= 15x...x15 how many times = 57 times 15
(-4)x...x(-4) 7 times = (-4)^(7)
(1.5)x...x(1.5) 12 times = (1.5)^(12)
Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of the play area is 5.3 meters. If she wants to cover the area in foam, how much foam does she need to buy? Due to the accuracy of the tape measure Avani used, the amount of foam needed to cover the play area is A.39 B.39.75 C.39.8 D.40
Answer:
Step-by-step explanation:
Area of the rectangle length x width
7.5x5.3 =39.75 sq.m
so, B is the correct answer.
Solve for u.
– 22 = -8u + 6(u-7)
Simplify your answer as much as possible.
Step-by-step explanation:
- 22 = -8u + 6(u-7)
-22 = -8u + 6u - 42
8u - 6u = 22 - 42
2u = -20
u = -20/2
u = -10
Answer:
[tex] \boxed{ \boxed{ \mathrm{ \bold{ \blue{ - 10}}}}}[/tex]Step-by-step explanation:
[tex] \mathrm{ - 22 = - 8u + 6(u - 7)}[/tex]
Distribute 6 through the parentheses
⇒[tex] \mathsf{ - 22 = -8u + 6u - 42}[/tex]
Collect like terms
⇒[tex] \mathrm{ - 22 = - 2u - 42}[/tex]
Swap the sides of the equation
⇒[tex] \mathrm{ -2u - 42 = - 22}[/tex]
Move constant to R.H.S and change it's sign
⇒[tex] \mathrm{ - 2u = - 22 + 42}[/tex]
Calculate
⇒[tex] \mathrm{ - 2u = 20}[/tex]
Divide both sides of the equation by -2
⇒[tex] \mathrm{ \frac{ - 2u}{ - 2} = \frac{20}{ - 2} }[/tex]
Calculate
⇒[tex] \mathrm{u = - 10}[/tex]
Hope I helped!
Best regards!
The three-dimensional figure shown consists of a cylinder and a right circular cone. The radius of the base is 10 centimeters. The height of the cylinder is 16 centimeters, and the total height of the figure is 28 centimeters. The slant height of the cone is 13 centimeters. Which choice is the best approximation of the surface area of the figure? Use 3.14 to approximate pi.
Answer:
2,041 square centimeters
Step-by-step explanation:
surface area = (2 × π × r × h) + ((π × r) × (r+ (√(c² + r²))))+(π × r²)
where,
cylinder base radius (r) = 10 cm
height of cylinder (h) = 16 cm
total height = 28 cm
cone height (c) = total height - height of cylinder = 28 - 16 = 12cm
π = 3.14
surface area = (2 × 3.14 × 10 × 16) + ((3.14 × 10) × (10+ (√(12² + 10²))))+(3.14 × 10²)
surface area = 1004.8 + (31.4 * 25.6) + 314
surface area = 2122.64 cm²
therefore the approximate surface area given is 2,041 square centimeters
How much water will be in each bottle if the total amount of water is equally divided among the bottles?
Answer:
D
Step-by-step explanation:
add everything up devide by 3
Answer:
C. 1/2 liter
Step-by-step explanation:
First, find the total amount of water by multiplying the amounts of water by the number of bottles, then adding all 3 values together:
1/4(1) = 1/4 liter
1/2(4) = 2 liters
3/4(1) = 3/4 liter
1/4 + 2 + 3/4 = 3 liters
There are 6 bottles in total, if we count the number of dots.
To find how much water would be in each bottle if the water was equally divided, divide the total amount of water by the number of bottles:
3 / 6 = 1/2
= 1/2 liter
The table shows the relationship between the cost of renting a car from the Wrecko Car Rental Company and the number of days for the rental. Draw a scatter plot and find an equation for the line of best fit. Use the equation to determine the cost of renting a car for 20 days. Days Cost 1 $44 2 $67 3 $90 4 $113 7 $182 10 $251
Answer:
The cost of renting the car for 20 days is $481
Step-by-step explanation:
The table of values can be formed as follows;
Day, Cost
1, $44
2, $67
3, $90
4, $113
7, $182
10, $251
From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.
The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;
[tex]Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above[/tex]
The equation in slope and intercept form is therefore, y - 44 = 23×(x - 1), which gives;
y - 44 = 23·x - 23
y = 23·x - 23 + 44 = 23·x + 21
The cost of renting the car for 20 days is then;
10×23 + 21 = $481
The cost of renting the car for 20 days = $481.
Geraldo recently saw a newspaper ad for a new version of his laptop. The projected price is $400.00, and the laptop will be out on the market in about one year. Geraldo wants to purchase a new laptop but is wondering if he should wait a year. With 2.5% inflation, what amount would he pay to purchase a laptop today that is the same value as the one he saw in the ad?
Answer:
The answer would be $410.00.
Cheers,
Got an question worth 25 points, pls guys go and answer it. Find the question on my profile.
Thankssss.
The price he will have to pay now for laptop will be $390.
What is cost prize ?
The prize at which the good and services have been bought is known as cost prize.
here, the given information is :
The projected price is $400.00, and the laptop will be out on the market in about one year with 2.5% inflation.
Now, if he pay to purchase a laptop today that is the same value as the one he saw in the ad then the cost price he will have to pay will be 2.5% of $400 less that is:
cost price of laptop = $400 - 2.5& x 400
cost price of laptop = 97.5% x $400
cost price of laptop = $390
Therefore, the price he will have to pay now for laptop will be $390.
check and know more about cost price here :
https://brainly.com/question/11027396
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The family size bottle of sunscreen holds 12121212 fluid ounces (fl oz)(\text{fl oz})(fl oz)(, start text, f, l, space, o, z, end text, )of sunscreen. The regular bottle holds 75%75\%75%75, percent less.How many fewer fluid ounces does the regular bottle of sunscreen hold?
Answer:
The regular bottle holds 9 fl oz less
Step-by-step explanation:
Given
Family Size = 12 fl oz
Required
Determine the size held less by the regular bottle
From the question, we have that the regular bottle holds 75% less;
[tex]Regular\ Size = 75\% * Family\ Size[/tex]
Substitute 12 fl oz for Family Size
[tex]Regular\ Size =75\% * 12\ fl\ oz[/tex]
Convert percentage to fraction
[tex]Regular\ Size = \frac{75}{100} * 12\ fl \oz[/tex]
[tex]Regular\ Size = \frac{75 * 12\ fl\ oz}{100}[/tex]
[tex]Regular\ Size = \frac{900\ fl\ oz}{100}[/tex]
[tex]Regular\ Size = 9\ fl\ oz[/tex]
Hence, the regular bottle holds 9 fl oz less
HELP!!! Let U be the set of students in a high school. The school has 800 students with 20 students on the gymnastic team and 10 students on the chess team. Select the Venn diagram if three students are on both teams.
Answer:
Step-by-step explanation:
this app is useless don't use it for math probs it doesn't help at all just stay on your work hoped this helped
What value of x is in the solution set of –5x – 15 > 10 + 20x? –2 –1 0 1
Answer:
-2
Step-by-step explanation:
5x – 15 > 10 + 20x
Subtract 5x from each side
5x – 15-5x > 10 + 20x-5x
-15 > 10+15x
Subtract 10 from each side
-15-10 >15x
-25 > 15x
Divide each side by 15
-25/15 > x
-5/3 > x
X must be less than -1 2/3
The only value that is less than -1 2/3 is -2
Answer:
x< -5/3x is less than -5/3 , so answer = -2Step-by-step explanation:
[tex]5x - 15 > 10 + 20x\\\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\5x-15+15>10+20x+15\\\mathrm{Simplify}\\\\5x>20x+25\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\\\5x-20x>20x+25-20x\\\\\mathrm{Simplify}\\\\-15x>25\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-15x\right)\left(-1\right)<25\left(-1\right)\\\\\mathrm{Simplify}\\\\15x<-25\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\\\frac{15x}{15}<\frac{-25}{15}\\\\x<-\frac{5}{3}[/tex]
evaluwate 5(14-2to the third power)+8/2
Answer:
216,004
Step-by-step explanation:
so 5(14-2)third power + 8/2,
that would be
5(12)third power + 8/2
(60) third power + 4
216,000 + 4
Write an equation for a parabola with a focus of (1,-2) and a directrix of y=6
Answer:
y = - [tex]\frac{1}{16}[/tex](x - 1)² + 2
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
[tex]\sqrt{(x-1)^2+(y+2)^2^}[/tex] = | y - 6 |
Square both sides
(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )
(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )
(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )
(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )
16y = - (x - 1)² + 32 ( divide all terms by 16 )
y = - [tex]\frac{1}{16}[/tex] (x - 1)² + 2
which one is irrational?
Basically everything but choice C
==========================================
Explanation:
sqrt is shorthand for square root
sqrt(4) = 2 = 2/1 showing that sqrt(4) is rational. We can write it as a fraction of two whole numbers, where 0 is not in the denominator.
-------
In contrast, we cannot write sqrt(2), sqrt(3), or sqrt(5) as a fraction of two whole numbers. Using your calculator, note how
sqrt(2) = 1.4142135623731
sqrt(3) = 1.73205080756888
sqrt(5) = 2.23606797749979
all of those decimal expansions go on forever without any pattern, which is a sign that those numbers are irrational. If they were rational, then a pattern would repeat at some point or the decimals would terminate at some point.
Answer:
a, b, d are irrational
Step-by-step explanation:
root 2 = 0.414.....
root 3 = 0.732.....
root 5 = 2.236.....
Hope this helps.....
Pls mark my ans as brainliest
If u mark my ans as brainliest u will get 3 extra points
The solutions to \[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[tex]The solutions to\[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[/tex]
Answer:
5/8
Step-by-step explanation:
(10 +/- √100-104)/4
(10 +/- 2i)/4
5/4 +/- 1/2i
5/4 * 1/2 = 5/8
PLEASE HELP ME WILL MARK BRAINLIEST! Town planners are planning a 500 foot by 700 foot parking lot by making a scale drawing that is 90 inches by 126 inches. What is the scale of inches in the drawing to inches in the actual object?
Answer:
The approximate value of the scale is 1:67
or the actual value without approximation is 1: 66 2/3 ( 66 while number , two over three)
Step-by-step explanation:
Here, we want to figure out the scale in inches of the drawing to the actual object.
The actual object is 500 ft by 700 ft
while the drawing is 90 inches by 126 inches
Mathematically, we know that 12 inches = 1 foot
So the actual object will be;
500(12) by 700(12)
= 6000 inches by 8400 inches
Now let’s make a division to get the scale;
6000/90 by 8400/126
we get 66.67 as answers on both ends
This is approximately equal to 67
So the scale we have here is 1:67
How do you graph y=2/3x-4
━━━━━━━☆☆━━━━━━━
▹ Answer
You can use a graphing calculator.
▹ Step-by-Step Explanation
Attached is a screenshot.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
See explanation and picture attached
Step-by-step explanation:
We can break down this expression into it's core components:
Since the constant here is -4, the y intercept is -4.
Since the value we are multiplying x by is [tex]\frac{2}{3}[/tex], the slope is [tex]\frac{2}{3}[/tex]. This means for every time we go horizontal 3 units, the line increases by 2.
The graph is attached.
Hope this helped!
please what are plane shapes
Answer:
Circle
hope this helps.
Answer:
A closed, two-dimensional or flat figure is called a plane shape.
6. Find the focus for the parabola.
2x=(y+3)^2+14
Focus: (x,y) =
Answer: Focus = (7.5, -3)
Step-by-step explanation:
The Vertex form of a horizontal parabola is: x = a(y - k)² + h where
a is the vertical stretch; [tex]a=\frac{1}{4p}[/tex]p is the distance from the vertex to the focus(h, k) is the vertexRewrite the equation in Vertex form to identify a, h, & k:
2x = (y + 3)² + 14
[tex]x=\dfrac{(y+3)^2+14}{2}\\\\x=\dfrac{1}{2}(y+4)^2+7[/tex]
Vertex: (h, k) = (7, -3)
[tex]a=\dfrac{1}{2}[/tex]
Find p and then find the focus: Focus = (h + p, k)
[tex]a=\dfrac{1}{4p}\quad \rightarrow \quad \dfrac{1}{2}=\dfrac{1}{4p}\quad \rightarrow \quad 4p=2\quad \rightarrow \quad p=\dfrac{2}{4}\quad \rightarrow p=\dfrac{1}{2}\\[/tex]
Focus: (7 + [tex]\frac{1}{2}[/tex] , -3) = (7.5, -3)
Juana wants to use the numbers 8, 6, 3,
and 2 to create her 4-digit ATM code.
She will not repeat any digits. How many
different codes could she create?