Answer:
7√3
Step-by-step explanation:
21x21 I need real help with this.Really struggling ;)
Answer: Human calculator says 21 x 21 = 441!
Good Luck!
2x+9>17 or 5x+10<10 compound inequalities
Answer: 2x+9>17 or 5x+10<10 compound inequalities is x<0
Step-by-step explanation:
What is Meant by Compound Inequality?
In Mathematics, a compound inequality is a sentence which has two statements connected using the word “and” or by the word “or”. If the statements are connected using the word “and”, then both the statements of the compound sentence are true at the same time. If the statements are connected using “or”, then the compound sentence is true if at least one statement is true.
2x+9>17 or 5x+10<10
Let take 2x+9>17
Subtract -9 on both sides
2x+9-9>17-9
2x+0>8
2x>8
Now we need to divide by 2 both sides
2x÷2>8÷2
x>4
Now we solve 5x+10<10
we need to subtract -10 on both side
5x+10-10<10-10
5x+0<0
5x<0
Now we need to divide 5 on both sides
5x÷5<0÷5
x<0
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0<x>4
the value of x lies between 0 and 4.
A compound inequality is an inequality that combines two simple inequalities. A compound inequality is made up of two inequalities connected by the word “and” or the word “or.” To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement.
lets take 2x+9>17
now lets subtract 9 from both sides.
2x + 9 > 17
- 9 > -9
2x > 8
now divide both sides by 2
2x ÷ 2 > 8 ÷ 2
x > 4
lets take the second part i.e 5x +10 <10
substract 10 from both sides
5x + 10 < 10
- 10 < -10
5x < 0
now divide both sides by 5
5x ÷ 5< 0 ÷ 5
x < 0
0<x>4
the value of x lies between 0 and 4.
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13. jewelry marena is using a certain number of blue beads in a bracelet
design. she will use 7 more red beads than blue beads. write an expression
in simplest form that represents the total number of beads in her bracelet
design.
The simplest expression that represents the total number of beads in her bracelet design is 2b + 7.
Expression:
An expression is the sentence with a minimum of two numbers or variables and at least one math operation.
This math operation can be addition, subtraction, multiplication, or division.
The structure of an expression is:
Expression = (Number/variable, Math Operator, Number/variable)
Given,
Jewelry Marena is using a certain number of blue beads in a bracelet
design. she will use 7 more red beads than blue beads.
Here we need to write an expression in simplest form that represents the total number of beads in her bracelet design.
Assign a variable for the unknown value.
Let b be the number of blue beads for the bracelet.
The number of red beads will be represented as b + 7.
Determine the expression for the total number of beads.
Then we can written it as,
=> b + (b +7)
=> 2b + 7.
Therefore, the total number of beads can be written as 2b + 7.
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Evaluate the expression 3^5 five is small and on top
Answer:
243
Step-by-step explanation:
3 to the power of 5
3 x 3 x 3 x 3 x 3
3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243
Given that z is a standard normal random variable, what is the probability that -2.51 z -1.53?
Probability that -2.51 < z < -1.53 = 0.057
Given that z is a standard normal random variable. Then the z - values are given by the area under standard normal curve. It can be found from the standard normal tables.
Now probability that -2.51 < z < -1.53 = P( -2.51 < z < -1.53 )
= P( -2.51 < z < 0 ) - P( -1.53 < z < 0 )
= P( 0 < z < 2.51) - P( 0 < z < 1.53 ) [Since areas are equal for same positive and negative values]
P( 0 < z < 2.51) = 0.4940
P( 0 < z < 1.53) = 0.4370
[From the normal tables]
Therefore, Probability that -2.51 < z < -1.53 = 0.4940 - 0.4370 = 0.057
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1/4 g(x)=-4x-8 if g (-3)
Answer:
16
Step-by-step explanation:
x=-3
g(x)=4(-4(-3)-8)
g(x)=4(4)
g(x)=16
Find the greatest common factor for each problem.use the t-chart to slow?
16 and 40
Gcf:
The required GCF is 8.
The greatest common factor is that greatest number from the factors which divides the number completely.
For example take numbers 12 and 16.
The factors of 12 are 2×2×3.
And the factors of 16 are 2×2×2×2.
We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.
Here it is given to find the greatest common factor of 16 and 40.
Factors of 16 = 2×2×2×2
Factors of 40 = 2×2×2×5
We can see clearly the common factors are 2×2×2 which gives 8.
So, 8 is the greatest common factor.
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Converting units is always an exercise in linear relationships. how many inches is 2.50 m? (2.54 cm=1.0 inch)
There are 98.4252 inches in 2.50m.
Unit Conversion is defined as a process that involves multiplication and division by a numerical factor or a particular conversion factor.
For Example .Convert 2m into cm.
As we know that 1m=100cm
multiplying both sides by 2 we get
2m = 200 cm.
According to the question
It is given that 2.54 cm = 1 inch
[tex]1cm = \frac{1}{2.54} inch[/tex]
[tex]100cm=\frac{100}{254} inch[/tex]
[tex]1m = \frac{100}{2.54}[/tex] ( as 100cm = 1m)
we need 2.50 m So we multiply both sides by 2.50
[tex]2.50m=\frac{2.50*100}{2.54} \\\\ 2.50m=\frac{250}{2.54}[/tex]
[tex]2.50m=98.4252 inch[/tex]
Therefore , there are 98.4252 inches in 2.50m.
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Which expression is equivalent to quantity y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power?
NEED ASAP HURRY UP
The simplification of the given expression using laws of Indices is; y³z⁷
How to use Laws of Indices?
We want to simplify the expression y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power.
The above can be expressed as;
(y⁻² * z³)/(z⁻⁴ * y⁵)
Collecting like terms gives;
(y⁻²/y⁵) * (z³/z⁻⁴)
= y⁻² ⁺ ⁵ * z³ ⁺ ⁴
= y³z⁷
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Answer:
y^18/z^18
Step-by-step explanation:
el ortocentro y varicentro de un triángulo equilátero son el mismo punto
Answer: The orthocenter and varicenter of an equilateral triangle are the same point?
Step-by-step explanation
Answer: De nuevo, puedes ver que el baricentro, el ortocentro y el circuncentro son todos el mismo punto para un triángulo equilátero. Tenemos un centro más para comparar, el incentro. Como habrás sospechado, el incentro es el mismo punto que los otros tres para un triángulo equilátero.
Step-by-step explanation:
The finances of a group of pet owners were analyzed to determine how much they were spending on their pet(s) each year. A graph of that data is shown:
A graph with Number of Owners on the x axis and Yearly Cost of Pets, in hundreds, on the y axis. The x axis has a scale from 1 to 10 with an increment of 1. The y axis has a scale of 5 to 15 with increments of 1. A curved line connecting 1, 15, approx 3, 7, and 10, 0 is drawn.
Would (3, 7.2) be a realistic solution for the function? Explain.
Group of answer choices
Yes, it is realistic to have 7.2 owners who spend $300 dollars on their pet(s).
No, it is not realistic to have 3 owners.
Yes, it is realistic that 3 owners spend $720 a year on their pet(s).
No, it is not realistic that owners spend $720 a year on their pet(s).
It is realistic that 3 owners spend $720 a year on their graph
C) Yes, it is realistic that 3 owners spend $720 a year on their pet(s).Given that
In the displayed graph, the y-axis shows the annual cost of pets in hundreds of dollars, while the x-axis shows the number of pet owners.The graph's path through the points(1,15),(3,7), and (10,0).To find
Would (3, 7.2) be a realistic solution for the function?So, according to the question
We can say that,
3 owners are present and,
A pet's annual cost is $720.
So, the option C (Yes, it is realistic that 3 owners spend $720 a year on their pet(s) ) is correct explanation of it.
Because no fractional value can represent the number of owners. Therefore, having 7.2 owners is not feasible and other options showing only one value. So A, B, and D are wrong answer.
C) Yes, it is realistic that 3 owners spend $720 a year on their pet(s).
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George wants 42 liters of a mixture of water and 15% lemon juice. he has a mixture of 5% lemon juice and a mixture of 20% lemon juice. how many liters of the 5% and 20% mixtures should he mix to get what he wants? (round you answer to the nearest tenth if necessary.)
The amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the amount of 5% lemon juice mixture that is needed to be mixed be represented by x, then the amount of 20% lemon juice mixture will be represented by (42-x), because the total mixture is needed to be 42 liters.
Now, given that George wants 42 liters of a mixture of water and 15% lemon juice with a mixture of 5% lemon juice, and a mixture of 20% lemon juice. Therefore, we can write,
5% of x + 20% of (42-x) = 15% of 42 liters
0.05x + 0.2(42 - x) = (0.15×42)
0.05x + 8.4 - 0.2x = 6.3
0.05x - 0.2x = 6.3 - 8.4
-0.15x = -2.1
x = -2.1 / -0.15
x = 14
Further, the amount of mixture of lemon juice that is needed to be mixed can be written as,
5% lemon juice mixture, x = 14 liters20% lemon juice mixture, (42 - x) = 28 litersHence, the amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.
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please help thank youuu
Answers are in bold
f(5) = -77g(-4) = -4======================================================
Explanation:
The x is a placeholder for a number.
When we say f(5), we mean f(x) when x = 5
So we'll replace every copy of x with 5 like so...
[tex]f(\text{x}) = -3\text{x}^2 - 2\\\\f(5) = -3(5)^2 - 2\\\\f(5) = -3(25) - 2\\\\f(5) = -75 - 2\\\\f(5) = -77\\\\[/tex]
Notice how I used the order of operations PEMDAS after x = 5 was plugged in.
A similar situation happens with g(-4). We'll plug x = -4 into g(x) to get the following:
[tex]g(\text{x}) = 2\text{x} +4\\\\g(-4) = 2(-4) +4\\\\g(-4) = -8 +4\\\\g(-4) = -4\\\\[/tex]
You can use a graphing calculator or graphing software (eg: Desmos or GeoGebra) to confirm these answers quickly.
what is the graph
picture below
pls helppppp for brainlest
Answer:
B
Step-by-step explanation:
5x + 4y >= 2
4y >= -5x + 2
y >= -5/4x + 1/2
Since the equation is >=, everything on or above the line y = -5/4x + 1/2 should be shaded.
Describe a set math po to guys pang grade 7 what is a set??
Answer:
A set is well-defined so that we can always tell what is and what is not a member of the set
draw a rectangle. label the height as 5 cm and the width as 2x + 8. if the area is 80 cm^2 write an equation to find the value of x. then find the width of the rectangle
Answer:
16cm
Step-by-step explanation:
The area of a 2d figure is w x h. We know the area, a, is 80cm^2, the height, h, is 5, and the width, w, is 2x + 8.
Since we are solving for x, we want to isolate the variable.
5 x 2x + 8 = 80
80/5 = 2x + 8
We can now solve for x.
80/5 = 2x + 8
16 = 2x + 8
16 - 8 = 2x + 8 - 8
8 = 2x
8/2 = 2x/2
4 = x
We aren't done, we still need to solve for w, where we now know x = 4
w = 2x + 8
w = 2(4) + 8
w = 8 + 8
w = 16
guys helepepepe Which lines are perpendicular?
will give ur brainliest help plss
Answer:
All the lines (A,B,C) are perpendicular because they are all intersecting at a 90 degree angle.
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
y=-1/14x+33/14 in standard form
Answer:
Step-by-step explanation:
1) Find the LCD and multiply what is missing: LCD (x)(14)
-1x/14x + 33/14x
2) Get rid of the denominators
-1x+33
-x+33
That should be right! Sorry if it isn't!
Parallelogram be is a scaled copy of parallelogram U what is the value of w ( please answer ASAP I'm in a rush)
A scaled-down version of parallelogram is parallelogram be. What does w equal for U
X has a value of 4.
Line BC and line AD are parallel in the picture that was submitted, and segment 15 is the midpoint.
The Midsegment TrapezoidTheorem states that a line going through the midpoint of a trapezoid leg, parallel to both bases, will also go through the midpoint of the other leg
The formula for calculating a trapezoid's midsegment is as follows:
As a result, x has a value of 4.
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
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Kyle found the product of two rational expressions and identified the excluded values of the expression. However, he made a mistake in his work and included an extra number in his list of excluded values. His work is shown below.
Select the step where Kyle made his first mistake. Then select the number that should not be included in the list of excluded values.
Answer:
Step-by-step explanation:
Mistake in step 3 the (2x+1) and the (x-1) both cancel out but the other binomials (x + 3) and (x - 3) are different so don't cancel out.
Step 3 should be 3(x-3) / 4(x+3)
3 should not be an excluded value.
The sears tower in chicago is 443 m tall. Joe wants to set the world’s stair climbing record and runs all the way to the roof of the tower. If joe’s average upward speed is 0. 60 m/s, how long will it take joe to climb from street level to the roof of the sears tower?.
It will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.
What is speed?The definition of speed is the rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity. Speed is a measure of how quickly something moves or is done, or how fast something moves. A car traveling at 45 miles per hour is an example of speed. Someone cleaning a room in 10 minutes is an example of speed. A jaguar's speed is an example of speed.To find how long will it take joe to climb from street level to the roof of the sears tower:
If Joe moves at 0.6 m/s in the vertical direction, the total distance he must cover is 443 meters in the vertical direction. The formula for average speed is now:Average speed = total distance / total timeTotal time = total distance / average speedTotal time = 443/0.6Total time = 738.3 secondsTherefore, it will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.
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PLEASE HELPP!
FIND THE MEASURE OF ANGLE A!!!
Answer:
123
Step-by-step explanation:
supplementary angles add up to 180
(5x - 22) + (x + 28) = 180
5x - 22 + x + 28 = 180
6x + 6 = 180
6x = 180 - 6
6x = 174
x = 174/6
x = 29
<A = 5x - 22 = 5(29) - 22 = 123
What can you conclude from the results of (a), (b), and (c)? a. when each entry is multiplied by a constant k, the sample mean and the sample standard deviation remain unaffected.
It is true that the sample mean and the sample standard deviation remain unaffected.
What is mean ?Mean is the average of the given data.
According to the given question when each entry is multiplied by a constant k each term will k times of the previous term.
Suppose we have 3 terms x, y, z.We know that their mean will the middle term as there are odd number of terms which is y.
Now if we multiply each term by a constant k the terms will be kx, ky, kz and the middle term is ky.
As each term is multiplied by k we have divide by k which is
= ky/k
= y.
So from both the results we can observe that the mean and the standard deviation remains same.
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explain how you got it
The value of AB in the geometry is 24 units.
How to find the length AB using geometry?According to the diagram,
BD ≅ BC
BD = 5x - 26
BC = 2x + 1
AC = 43
Therefore, the value of AB can be found using the knowledge of geometry.
BD = BC
5x - 26 = 2x + 1
5x - 2x = 1 + 26
3x = 27
divide both sides by 3
x = 27 / 3
x = 9
Therefore,
BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19
AC = BC + AB
AB = AC - BC
AB = 43 - 19
AB = 24 units
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If angle 1 and angle 2 form a linear pair and angle 1 is x and angle 2 is 5x - 18, find the measure of angle 1
Apply the definition of linear pair, the measure of angle 1 is calculated as: 33°.
What are Linear Pair Angles?If two angles are a linear pair, then, the sum of their angle measures equal 180 degrees.
We are given that angle 1 and angle 2 are a linear pair. This means that:
Measure of angle 1 + measure of angle 2 = 180
Measure of angle 1 = x
Measure of angle 2 = 5x - 18
Substitute
x + 5x - 18 = 180
6x - 18 = 180
6x = 180 + 18
6x = 198
6x/6 = 198/6
x = 33
Measure of angle 1 = x = 33°.
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2. Given the plane DGF in the diagram, which points are collinear?
1. G, E, and F
2. D, E, and F
3. H, G, and D
4. G, D, and E
Answer:
2. D, E, and F
Step-by-step explanation:
Points lie on the same straight line also called euclidean geometry.
How many solutions does this equation have?
3b + 4 = 10 + 3b
Answer:
None
Step-by-step explanation:
[tex]3b+4-3b=10+3b-3b\\4=10\\\sf Sides\:unbalanced.[/tex]
after finishing the prep work, gilberta and maría start removing wallpaper at the same time. gilberta removes the paper at a constant rate of 4.3\,\text{m}^24.3m 2 4, point, 3, start text, m, end text, squared per hour, while maría removes 3.4\,\text{m}^23.4m 2 3, point, 4, start text, m, end text, squared of paper per hour. gilberta's room starts with 35\,\text{m}^235m 2 35, start text, m, end text, squared of paper, and maría's room starts with 30.5\,\text{m}^230.5m 2 30, point, 5, start text, m, end text, squared of paper.
The inequality that depicts when Gilberta has much more wallpaper left throughout her room than Mara does in hers using linear functions is:
t< 5.
A linear function is :A linear function has a straight line as its graph. The following is the form of a linear function. a + bx = y = f(x). One independent variable but one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.
According to the given information:Following t hours, the quantities Gilberta and Maria have remaining are determined by:
G(t) = 35 - 4.3t.
M(t) = 30.5 - 3.4t.
Gilberta has more papers when:
G(t) > M(t).
So,
35 - 4.3t > 30.5 - 3.4t
-0.9t < -4.5
Multiplying by -1:
0.9t < 4.5
t < 4.5/0.9
t < 5.
The inequality is:
t < 5.
The inequality that depicts when Gilberta has much more wallpaper left throughout her room than Mara does in hers using linear functions is:
t< 5.
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A triangle has sides measuring 2.5x cm, 3x cm, and (2x+3) cm. the perimeter measures 60 cm.
The value of x is 7.6cm and the sides of the triangle are 19cm, 22.8cm and 18.2cm
Perimeter of triangle
The perimeter of a triangle is defined as the total length of its boundary.
The formula for the perimeter of a scalene triangle is
Perimeter = a + b + c,
where
"a", "b", and "c" are the three different sides.
Given,
A triangle has sides measuring 2.5x cm, 3x cm, and (2x+3) cm.
The perimeter measures 60 cm.
Here we need to find the value of x and the sides of the triangle.
Let the values of
a = 2.5x cm
b = 3x cm
and
c = (2x+3) cm
Then,
Apply the values on the formula for perimeter,
Then we get,
=> P = (2.5x) + (3x) + (2x +3)
=> P = 7.5x + 3
Now, apply the value of perimeter,
As P= 60,
Then.
=> 60 = 7.5x + 3
=> 7.5x = 60 - 3
=> 7.5x = 57
=> x = 57/7.5
=> x = 7.6
So, the sides of the triangle are,
a = 2.5x => 2.5 (7.6) = 19
b = 3x => 3(7.6) = 22.8
c = (2x+3) => 2(7.6) +3 = 15.2 + 3 = 18.2
Therefore, the sides of the triangle are 19, 22.8 and 18.2.
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One number is six more than the other number . thesum of their squares is 90
Answer:
the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.