Answer:18,9
Step-by-step explanation:
9x1=9 9x2=18
Out of 50 students in a class 40 percent are girls If 30% of the girls wear apecticals wear spectrals Number of gists. Number of boys Number of girls wearing specticals.
Answer:
Out of 50 students in a class, 40% are girls, meaning there are 50 x 40% = 20 girls in the class.
And the number of boys is 50 - 20 = 30 students.
If 30% of the girls wear spectacles, that means 30/100 x 20 = 6 girls wear spectacles.
And the number of girls not wearing spectacles is 20 - 6 = 14.
So the total number of girls wearing spectacles is 6, and the number of boys is 30, and the number of girls not wearing spectacles is 14.
What is the slope of the line 5x + 1y = 6?
Answer:Slope=5
Step-by-step explanation
2(3 + 2) to the third power minus 6
The value of 2(3 + 2) to the third power minus 6 is 2.187.
What is Expression?An expression is combination of variables, numbers and operators.
The given sentence is 2(3 + 2) to the third power minus 6
Mathematically is can be written as [tex]2(3+2)^{\frac{1}{3}-6}[/tex]
Let us solve the exponent part
1/3-6
1-18/3=-17/3
Now [tex]2(3+2)^{\frac{-17}{3}}[/tex]
[tex]10^{-5.6}[/tex]
2.187
Hence, the value of 2(3 + 2) to the third power minus 6 is 2.187.
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Hectors school is holding a fitness challenge
Answer: What is the question ?
Step-by-step explanation:
Answer: 2 7/8 hours per week
hectors rate is greater
Step-by-step explanation:
Joe purchased a prepaid phone card for $35.00. Calls cost 9 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for x
minutes of calls is given by the following function.
C(x)=35.00-0.09.x
How much credit is left on the card after Joe uses it for 30 minutes of calls?
Answer:
$32.30 is left on the card-----------------------------------------
To find the remaining credit plug in the value of x = 30 into equation and calculate:
C(30) = 35.00 - 0.09*30 = 35.00 - 2.70 = 32.30
If four people are chosen for a team out of a group of seven, how many possible combinations are there (order does
not matter)
The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below.
On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5).
Which is the approximate solution for the system of equations x + 5 y = 10 and 3 x + y = 1?
(–0.3, 2.1)
(–0.3, –2.1)
(0.9, –1.8)
(0.9, 1.8)
They intersect in the 2nd quadrant. Only one answer choice (–0.3, 2.1)
What is y-intercepts?
Horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.
The graph shows you the lines all differ in their y-intercepts. This means you can identify the y-intercepts of the equations of interest, and you will know which lines to look at.
The y-intercept is found by setting x=0 and solving for y:
x +5y = 10
0 + 5y = 10
y = 10/5 = 2
3x +y = 1
3·0 +y = 1
y = 1
The two lines of interest are the ones that have y-intercepts of 2 (pink) and 1 (blue). They intersect in the 2nd quadrant. Only one answer choice can apply: (–0.3, 2.1)
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ANYONE GOOD AT MATH HELP IF YOU CAN , PLEASE WILL GET BRAINLIEST!
Answer:
[tex]f \left( g \left( f \left( 1 \right) \right) \right)=45[/tex]
[tex]g \left( f \left( g \left( 0 \right) \right) \right)=3[/tex]
We had to use the equation on the first problem as the graph does not show the value of function f(x) when x = -6.
Step-by-step explanation:
When calculating composite functions, work from the inside out.
Given composite function:
[tex]f \left( g \left( f \left( 1 \right) \right) \right)[/tex]
First use the graph to find f(1):
f(1) = -4[tex]\implies f \left( g \left( f \left( 1 \right) \right) \right)= f \left( g \left(-4\right)\right)[/tex]
Now use the graph to find g(-4):
g(-4) = -6[tex]\implies f \left( g \left(-4\right)\right)=f(-6)[/tex]
As the graph does not show the value for f(x) when x = -6, we need to use the equation:
[tex]\implies f(-6)=(-6)^2-2(-6)-3=45[/tex]
Therefore:
[tex]f \left( g \left( f \left( 1 \right) \right) \right)=45[/tex]
------------------------------------------------------------------------------
Given composite function:
[tex]g \left( f \left( g \left( 0 \right) \right) \right)[/tex]
First use the graph to find g(0):
g(0) = -2[tex]\implies g \left( f \left( g \left( 0 \right) \right) \right)=g \left( f \left( -2 \right) \right)[/tex]
Now use the graph to find f(-2)
f(-2) = 5[tex]\implies g \left( f \left( -2 \right) \right)=g \left(5 \right)[/tex]
Finally, use the graph to find g(5):
g(5) =3Therefore:
[tex]g \left( f \left( g \left( 0 \right) \right) \right)=3[/tex]
We had to use the equation on the first problem as the graph does not show the value of function f(x) when x = -6.
Use the commutative and :or associative properties to simplify 2/5 + 5/12 + (-2/5)
Answer:
5/12
Step-by-step explanation:
Use associative property of addition:
2/5 + 5/12 + (-2/5) = (2/5 + (-2/5)) + 5/12 ==> switch 5/12 and -2/5
(2/5 + (-2/5)) + 5/12 = ==> simplify
(2/5 - 2/5) + 5/12 =
0 + 5/12 = 5/12
Tell whether b = 12 is a solution of b - 7 = 5
Answer:
Yeah, [tex] \sf b = 12 [/tex]
Step-by-step explanation:
Given equation,
→ b - 7 = 5
Now the value of b will be,
→ b - 7 = 5
→ b = 7 + 5
→ [ b = 12 ]
Hence, the value of b is 12.
Answer: Yes
Step-by-step explanation: If you plug 12 into b, you will get the equation 12 - 7 = 5.
Try solving 12-7. It is 5.
Make me brainliest! Have a nice day :)
Write an equation for a line perpendicular to y= -5x-1 and passing through the point (10,3)
Answer: A line is perpendicular to another line if the slope of the first line is the negative reciprocal of the second line. The equation of the line y = -5x-1 has a slope of -5. The negative reciprocal of -5 is 1/5.
A line passing through a point (x1, y1) has an equation in slope-intercept form of y = m(x-x1) + y1, where m is the slope of the line.
So, we can use the point (10,3) and the slope of the line which is 1/5 to write the equation of the line:
y = 1/5(x-10) + 3
Therefore, the equation of the line perpendicular to y = -5x-1 and passing through the point (10,3) is y = 1/5x + 1/5
Step-by-step explanation:
Solve for a. Help please!
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=\stackrel{hypotenuse}{12}\\ a=adjacent\\ b=\stackrel{opposite}{9}\\ \end{cases} \\\\\\ \sqrt{12^2 - 9^2}=a\implies \sqrt{144 - 81}=a\implies \sqrt{63}=a[/tex]
graph f (x) = x and h (x) = x - 4 describe the transformation from the graph of f to the graph of h
The transformation of graph f (x) = x and h (x) = x - 4 is a translation 4 units to the left
What is translation in math?The term transformation is used in mathematics to refer to the movements made by objects.
Translation refers to a type of transformation that involve a linear movement.
Movements as seen in translation includes
up
down
left
right
The y coordinate governs movements in the vertical direction that are up and down.
While the x coordinate controls the horizontal movement in the left and right directions.
The movement as described in the graphs f(x) and h(x) is translation 4 units to the left
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The shop floor manager in a dairy company believes that the milk packaging process unit for 1 liter packs is not working fine and needs calibration. If the Null Hypothesis is framed to be µ = 1 liter, what would be the alternate hypothesis?
Answer:
Step-by-step explanation:
Given :
Null Hypothesis :
Alterative Hypothesis
two tailed test
claim is Ha
Alterative Hypothesis: Ha: u ≠ 1
The alternative hypothesis that would be used to test the mean quantity is different from 1 liter is u ≠ 1.
What is alternative hypothesis?An assertion used in statistical inference experiments is known as the alternative hypothesis. It is contradictory to the null hypothesis and denoted by Ha or H1.
Given that the claim in the null us that u = 1.
Since, an alternative hypothesis is one in which the researchers anticipate a difference (or an effect) between two or more variables; thus, the observed pattern of the data is not the result of chance.
Therefore,
The alternative would be that u is not equal to 1.
Hence, the alternative hypothesis that would be used to test the mean quantity is different from 1 liter is u ≠ 1.
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Twenty less than a number is more than twice the same number . Find the smallest possible value of the number.
The smallest possible value of the number that is an integer is -21
Determining the value of a numberFrom the question, we are to determine the smallest possible value of the number
From the given information, we have that
"Twenty less than a number is more than twice the same number"
Let the number be x
Then,
we can write that
x - 20 > 2x
Now, we will solve for x
x - 20 > 2x
-20 > 2x - x
-20 > x
Therefore,
x < -20
The possible integers are -21, -22, -23, -24, -25, -26, ...
Then,
The smallest integer is -21
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The fourth grade is going on a field trip and taking two buses. One bus has 3 rows of seats with 9 deatd in each row the other bus has four times as many seat as the first bus. How many seats are there in both buses?
The number of seats in the two buses are: first bus includes 27 seats and second bus includes 108 seats.
What is proportion?An equation known as proportion shows that the two ratios presented are equal to one another. For instance, the time it takes a train to go 100 kilometres per hour is equal to the time it needs to travel 500 kilometres in five hours. Example: 100 km/hr = 500 km/5 hour.
Given that:
Three rows of nine seats each make up one bus, hence the first bus's seating arrangement is as follows:
3 x 9 = 27.
Since the other bus has four times as many seats as the first bus, the second bus's seat count is as follows:
4 x 27 = 108.
Hence, the number in the two buses are first bus includes 27 seats and second bus includes 108 seats.
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The sum of the page numbers on the facing pages of a book is 553. Find the smaller page number.
Answer: To solve this problem, we can use algebra. Let x be the smaller page number. Then, the larger page number is x + 1, since the pages are facing each other. We know that the sum of these two numbers is 553, so we can set up the equation:
x + (x+1) = 553
Next, we will solve for x by combining like terms:
2x + 1 = 553
Now we will subtract 1 from both sides of the equation:
2x = 552
Finally, we will divide both sides by 2:
x = 276
So the smaller page number is 276.
Step-by-step explanation:
How to write this number in standard form (8*10)+(6*10,000)+(3*100,000)(2*100)+(9*1,000)+(7*1)
Answer:
369,287 in the US
3.69287×10⁵ in the UK
Step-by-step explanation:
Given the number (8*10)+(6*10,000)+(3*100,000)+(2*100)+(9*1,000)+(7*1), you want it written in standard form.
Standard formThe "standard form" of a number is different depending on your local culture.
In the US, the standard form of this number can be had by performing the indicated addition.
(8*10)+(6*10,000)+(3*100,000)+(2*100)+(9*1,000)+(7*1)
= 80 +60,000 +300,000 +200 +9,000 +7
= 300,000 +60,000 +9,000 +200 +80 +7 . . . . more useful order
= 369,287
In the UK, "standard form" of a number refers to "scientific notation". The leading digit is shown to the left of the decimal point, and the multiplier is the power of 10 corresponding to that digit's place value.
= 3.69287×10⁵
( Look at picture) Thx btw
Step-by-step explanation:
930 = -20×|t - 15| + 1010
one solution is for (t - 15) > 0
930 = -20×(t - 15) + 1010
-80 = -20×(t - 15)
4 = t - 15
t = 19
that means 2019.
the second solution is for (t - 15) < 0
930 = 20×(t - 15) + 1010
-80 = 20×(t - 15)
-4 = t - 15
t = 11
that means 2011.
Draw A parallelogram with a 20 angle and a 160 angle
Answer:
see attached
Step-by-step explanation:
You want a parallelogram with angles of 20° and 160°.
AngleThe drawing will start with a line for one side. An angle of 20° can be drawn using a protractor, geometry app, or by approximating its slope.
The slope of a line 20° from the x-axis is tan(20°) ≈ 0.36397. A line with a slope of 4/11 = 0.3636... will have an angle of about 19.983° from the x-axis. For accuracy you can expect in a hand-drawn figure, this is "close enough." It is probably closer to 20° than you could draw using a protractor.
DrawingA parallelogram with the required angles is shown in the attachment. Point B is 11 units right and 4 units up from point A, so the angle at A is 20° when rounded to the nearest tenth.
__
Additional comment
Another very close approximation of tan(20°) is 9.9/27.2. A line with that slope makes an angle of 20.00002° with the x-axis.
The graph of f(x) = |x| − 2 has an x-intercept at ???
A- (0,0)
B- (0,-2)
C- (-2,0)
D- (2,2)
Write an equation of the line passing through point P(-6, 4) that is perpendicular to y + 8 = 2(x - 14). Graph the equations to check that the lines are perpendicular.
Answer: An equation of the line passing through point P(-6, 4) that is perpendicular to y + 8 = 2(x - 14) is:
y = -4x + 20
Step-by-step explanation:
The given equation is in slope-intercept form y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line is 2, which means the line has a slope of 2 and is inclined at an angle of tan^-1(2).
To find an equation of a line that is perpendicular to this line, we need to find the negative reciprocal of the slope, which is -1/2. This means the slope of the line passing through point P(-6, 4) that is perpendicular to y + 8 = 2(x - 14) is -1/2.
Now we can use the point-slope form of a linear equation to find the equation of the line passing through point P(-6, 4) and having a slope of -1/2. The point-slope form of a linear equation is:
y - y1 = m(x - x1)
Where (x1, y1) is the given point, and m is the slope of the line. So by substituting the values we get:
y - 4 = -1/2(x + 6)
Which can be written as:
y = -1/2x + 4
So the equation of the line passing through point P(-6, 4) that is perpendicular to y + 8 = 2(x - 14) is:
y = -1/2x + 4
Graphing the equations can confirm that the lines are perpendicular as the slope of the first line is 2 and the slope of the second line is -1/2, the product of these slopes is -1 which means they are perpendicular to each other.
Winston leaned a 32-foot ladder against the side of a building. The
base of the ladder is 3 feet from the base of the building. The top of
the ladder is 15 feet from the top of the building. How tall is the
building? Provide an answer accurate to the nearest tenth of a foot.
Answer:
the building is approximately 28.3 feet tall, accurate to the nearest tenth of a foot.
Step-by-step explanation:
The height of the building can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the building is the hypotenuse, and the base of the ladder and the top of the ladder form the other two sides.
The height of the building can be found using the following formula:
h = √(32^2 - 15^2)
h = √(1024 - 225)
h = √(799)
h ≈ 28.3 ft
NEED HELP ASAP !!!!!! THANK YOU :>>>>
Answer:
360 kilometres
Step-by-step explanation:
To find the distance a car would have to cover if it has been traveling for four and a half hours, you can use the formula:
distance = speed x time
In this case,
distance = 80 km/hour x 4.5 hours
To calculate the distance in kilometers, we multiply the speed in kilometers per hour by the time in hours.
distance = 80 x 4.5
distance = 360 kilometers
So, the car would have to cover 360 kilometers if it has been traveling for four and a half hours at 80 km/hour.
Find general solution. Show steps of derivation. Check your answer by substitution.
y´=sec^2(y)
So on solving the provided question we cans ay that trigonometry y =sec^2(y); y = 1/[tex]\sqrt{2}[/tex]
what is trigonometry?The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.
y´=sec^2(y)
here, y = 90
y = sec^2(90)
y = 1/[tex]\sqrt{2}[/tex]
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What’s the graph to t/3 - 1 > -3
Answer: The answer is C
Step-by-step explanation: This is because the equation has a greater than or equal to sign (≥). This mean that there will be a closed dot. Also, when it comes to inequalities, the sign points to where the line will be drawn, (greater than is to the right and less than is to the left), which indicates that the answer is C
how do find the factors of a fraction Example 3 1/2 (unit rate, proportionality)
The factors of a fraction 3 1/2 is 3/2.
What are the factors?Generally, A divisor of an integer n, also known as a factor of n, is an integer m that can be multiplied by another number to generate n. Another name for this concept is a factor of n. One may also state that n is a multiple of m in this particular scenario.
Since 3/2 is a fraction, it does not have any factors since factors are integers that may evenly divide a number. Since 3/2 is a fraction, it does not have any factors. Only integers are capable of having factors; fractions are unable to do so.
To find the factors of a fraction, you can factor the numerator and denominator separately.
In the case of 3 1/2, the numerator 3 is a prime number and cannot be factored further.
However, the denominator 2 can be factored as 2 x 1.
Therefore, the factors of 3 1/2 are: (3 x 1) / (2 x 1),
which can be simplified to 3/2.
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Solve 3^x−5 = 9. Group of answer choices x = −3 x = 2 x = 7 x = 8
Answer: [tex]x=7[/tex]
Step-by-step explanation:
[tex]3^{x-5}=9\\ \\ 3^{x-5}=3^2 \\ \\ x-5=2 \\ \\ x=7[/tex]
Answer:
-3
Step-by-step explanation:
What is the effect on the graph of f(x) = || when the function is changed to
g(r) =
(-1)|?
Answer: The function f(x) = || is the absolute value function of x, which is defined as f(x) = |x|. The graph of this function is a "V" shape, with the vertex at the origin (0,0) and the lines x = 0 and y = 0 as the asymptotes. The graph of f(x) starts at the origin and increases as x increases or decreases, but never reaches x-axis.
The function g(r) = (-1)|r| is the absolute value function of r, multiplied by -1. The effect of multiplying the function by -1 is to reflect the graph of f(x) across the x-axis. So the graph of g(r) will be a "V" shape, with the vertex at the origin, and the lines x = 0 and y = 0 as the asymptotes. The graph of g(r) starts at the origin and decreases as r increases or decreases, but never reaches x-axis.
In summary, the effect of the change on the graph of f(x) = || is that it will be reflected across the x-axis.
Step-by-step explanation:
Someone pls help this is important
An integer which can be used to represent a diver's elevation if the diver is 40 feet below sea level is -40.
What is an integer?In Mathematics, an integer can be defined as a whole number that may either be positive, negative, or zero (0). This ultimately implies that, a positive integer simply refers to a whole number that is greater than or equal to one (1).
On the other hand (conversely), a negative integer simply refers to a whole number that is less than zero (0), but do not include decimals or fractions.
In this context, we can reasonably infer and logically deduce that an integer which can be used for representing a diver's elevation when he or she is 40 feet below sea level would be the negative integer -40.
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