Answer:
I want to say it is the first one and the and the third one
Step-by-step explanation:
Answer:
a, d and e
Step-by-step explanation:
3.5%=3 1/2% of 20
3.5x100=0.035 of 20
3.5+3.5=7 (x2), then 20/2 will be 10
7% of 10
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Find the length of BC to the nearest teeth of a foot.
Determine the length of BC by using trigonometry for the angle A.
\(\begin{gathered} \sin 64=\frac{BC}{AB} \\ 0.899=\frac{x}{2.7} \\ x=2.7\cdot0.899 \\ =2.4273 \\ \approx2.4 \end{gathered}\)So answer is 2.4 foot.
if the system of equations y=b/6x-3 and y=2/3x-3 has infinitely many solutions, what is the value of b?
Answer:
b = 4
Step-by-step explanation:
4/6 is equivalent to 2/3, so with the slopes and y-intercepts being the same, there will be infinitely many solutions
A flagpole casts a shadow that is 14 feet long. At the same time, a person standing nearby who is 5 feet 6 inches tall casts a shadow
that is 42 inches long. How tall is the flagpole?
Flagpole:
feet
Answer:
22 feet
Step-by-step explanation:
As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:
14 ft = 14 × 12 = 168 inches5 ft 6 in = 5 × 12 + 6 = 66 inchesTherefore:
Flaghole height = h inFlagpole shadow = 168 inPerson height = 66 inPerson shadow = 42 inDraw a diagram using the given information (see attachment).
From the diagram, we can see that the flagpole and the person are parallel. Therefore, the two triangles are similar.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, set up a ratio of height to shadow length and solve for h:
\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)
\(\implies \sf h:168=66:42\)
\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)
\(\implies \sf h=\dfrac{66}{42} \cdot 168\)
\(\implies \sf h=\dfrac{11088}{42}\)
\(\implies \sf h=264\;inches\)
Convert the height into feet by dividing by 12:
\(\implies \sf h=\dfrac{264}{12}=22\;feet\)
Therefore, the height of the flagpole is 22 feet.
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
A manufacturer has two options for making cube-shaped boxes. The cost is calculated by multiplying the surface area of the box by the cost per square inch of the cardboard. Answer parts a through c below.
The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.
Describe Quadratic functions?A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.
The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).
Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.
Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.
a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:
f(x) = 0.005(6x²) = 0.03x²
b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:
g(x) = 0.004(6x²) = 0.024x²
Therefore, the quadratic functions are:
f(x) = 0.03x² for Design A
g(x) = 0.024x² for Design B
To know more about cube visit:
https://brainly.com/question/29023639
#SPJ1
The complete question is:
NO LINKS!! Please assist me with this problem Part 1m
Answer:
(x + 8)² + (y - 8)² = 64=======================
Given ConditionsTangent to x-axis,Tangent to y-axis,In the second quadrant,Radius is 8 units.SolutionEquation of circle:
(x - h)² + (y - k)² = r², where (h, k) is center and r - radiusThe center is the radius long distance from the x- axis to left and y-axis up same distance, this makes it in the second quadrant.
So the coordinates of the center are:
x = - 8, y = 8The equation is:
(x - (-8))² + (y - 8)² = 8²(x + 8)² + (y - 8)² = 64Answer:
\((x+8)^2+(y-8)^2=64\)
Step-by-step explanation:
Required conditions:
Tangent to both axes.Center in the second quadrant.Radius = 8 units.If the circle is tangent to both axes, its center will be the same distance from both axes. That distance is its radius.
If the center of the circle is in quadrant II, the center will have a negative x-value and a positive y-value → (-x, y).
Therefore, the coordinates of the center will be (0-r, 0+r) where r is the radius.
If the radius is 8 units, then the center is (-8, 8).
\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-a)^2+(y-b)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(a, b)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)
Substitute the found center and given radius into the formula to create an equation for the circle that satisfies the given conditions:
\(\implies (x-(-8))^2+(y-8)^2=8^2\)
\(\implies (x+8)^2+(y-8)^2=64\)
Find the number that makes the ratio equivalent to 2:7.
6:?
Answer:
6:21
Step-by-step explanation:
2 was multiplied by 3, so 7 should also be multiplied by 3. The answer is 6:21. Hope this helps!
4) Sally has 10 purple beads, 25 yellow beads and 30 red beads. She is
going to make identical bracelets for her friends. What is the maximum
number of bracelets she can make if she wanted to use all her beads?
Answer:
5 bracelets
Step-by-step explanation:
The common factor of 10, 25 and 30 is 5
this means that each bracelet will have 2 purple, 5 yellow and 6 red.
Answer:
5 Bracelets
Step-by-step explanation:
the common factor of the numbers 10 25 and 30 is 5
5×2= 10
5× 5 = 25
5x6= 30
these numbers are also multiples of 5.
Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?
$20
$54
$65
$90
Helppp.
Answer:
$54
Step-by-step explanation:
Convert 20% into decimal which is .20
$45x.20= $9
so 9 dollars was the tip. So you add the bill to the tip
$45+$9=$54
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
For more such questions on expression
https://brainly.com/question/1859113
#SPJ8
What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
A college professor randomly selects 10 of the 28 students in his statistics class and finds that
8 of them have part-time jobs in addition to being a full-time student.
He would like to construct a 90% confidence interval for the true proportion of students in his class who have part-time jobs in addition to being a full-time student.
Random condition:
✔ met
10% condition:
✔ not met
Large counts condition:
✔ not met
Are the conditions for inference met?
✔ no
(No one asked the question nor provided an answer, so here yous go FOR !!!!!EDGE2023!!!!!!!)
Answer:im confused
Step-by-step explanation:
Random condition:
✔ met
10% condition:
✔ not met
Large counts condition:
✔ not met
Are the conditions for inference met?
✔ no
please help fast !!!
The coordinate of vertices of DEF are;
D = ( -4, -3)
E = ( -7, 4)
F =( -7, -3)
Here, we have,
Reflection in the y-axis: The reflection of point (x, y) across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse (x,y)→( -x,y) .
First, triangle ABC is reflected across the y axes.
So, we have:
(x,y)→( -x,y)
then, translated down 5 units.
so, transformation rule on ABC, we have:
(x,y)→( -x , y - 5)
so, the coordinate of vertices of DEF are;
D = ( - 4, 2 - 5) = ( -4, -3)
E = ( -7, 9 - 5) = ( -7, 4)
F = (-7 , 2 - 5) = ( -7, -3)
Hence, the coordinate of vertices of DEF are;
D = ( -4, -3)
E = ( -7, 4)
F =( -7, -3)
Read more about transformation at:
brainly.com/question/11707700
#SPJ1
Fill in the blank below with the correct units. The school bus has a mass of about 8000 ————. Solve the problem. Then use either grams or kilograms
Answer:
kilograms
Step-by-step explanation:
theoretically, a bus cant be measured in grams, because its too light and unrealistic.
The school bus has a mass of about 8000 kilograms.
What is meant my mass?
"Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied."
What is kilogram?"The kilogram is the base unit of mass in the International System of Units (SI), the metric system, having the unit symbol kg."
Theoretically, a bus can't be measured in grams. Because its not too light to lift and heavy in weight.
∴ The school bus has a mass of about 8000 kilograms.
Learn about more kilograms, grams and mass here
https://brainly.com/question/386356
#SPJ2
PLEASE I NEED HELP RIGHT NOW! THANK YOU!
For each equation, tell whether it is always, sometimes, or never true. Explain your reasoning in words.
Answer:
For d: x=2
Step-by-step explanation:
Lets +1 on both sides so 9+1=10. Now the equation is 5x=10
Divide 10÷5=2
2. Medusa is looking for a TV screen big enough for her
and her head of snakes to enjoy her favorite soap opera.
Mngotoxo.
G TV is listed as being 60 inches. This
distance is act|ially the diagonal distance across the
screen. If thereen measures 36 inches in height, what
is the actual width of the screen to the nearest tenth of
an inch?
Answer:
48 Inches
Step-by-step explanation:
The diagonal of the TV = 60 Inches
Height of the Screen =36 Inches
We are to determine the actual width of the screen.
This TV across the diagonal forms a right triangle in which the diagonal is the hypotenuse.
We therefore use the Pythagorean Theorem to solve for the width of the screen.
Pythagorean Theorem: \(Hypotenuse^2=Opposite^2+Adjacent^2\)
Let w be the width of the television
\(60^2=36^2+w^2\\w^2=60^2-36^2\\w^2=2304\\w=\sqrt{2304}\\ $Width of the television, w=48 inches\)
Max built a new table. The table top is a rectangular piece of wood that is 3.31 meters long and 0.852 meter wide. Help pls.
Help asap thaxs
An object is moving at a speed of 7100 kilometers per minute. Express this speed in miles per second.
Answer:
73.5
Step-by-step explanation:
7100 km = 4411.735 miles
1 minute = 60 secs
4411.735/60 = 73.5 miles/sec
Valeria is playing with her accordion. The length of the accordion A(t)A(t)A, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) after she starts playing as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts playing, the accordion is 15\text{ cm}15 cm15, start text, space, c, m, end text long, which is the shortest it gets. 1.51.51, point, 5 seconds later the accordion is at its average length of 21\text{ cm}21 cm21, start text, space, c, m, end text. Find A(t)A(t)A, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
Answer:
−6cos( π/3 t)+21
Step-by-step explanation:
The length of the accordion is −6cos( π/3 t)+21.
How to derive a sinusoidal expression?We must figure out the periodic phenomenon's amplitude, period, and vertical shift in order to create a sinusoidal function that models it. Additionally, we must choose between using a sine or a cosine function and calculate the ensuing phase shift.
Given
A = 5+1 = 6
Shift = 21
ω =- π/3[because of 4th quadrant]
exp = Asin[-ωt] + shift
=-Acosωt + shift = -6cosπ/3 t + 21
To know more about sinusoidal expression refer to :
https://brainly.com/question/2410297
#SPJ2
Help pls any kind soul pls help
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times as old, that means that Olly's age is 3 * x or 3x for short.
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times old as Dan, then the expression is 3x.
Determine the pattern rule for the table and write it as an equation.I have absolutely no idea how to do this-
Answer:
y=4x+0
Explanation:
On observation, we see that from the values in the table.
• The values of y keep increasing by 4
When x=-1, y=4(-1)=-4
When x=0, y=4(0)=0
When x=1, y=4(1)=4
Therefore, we can say that for any x, the value of y can be gotten by:
\(y=4x\)Since this works, it means that there is nothing more to add. So we have:
\(y=4x+0\)if a and b are roots of the equation ax²+bx+c=0 obtain the value of a/b +b/a
\(\\ \sf\longmapsto \dfrac{a}{b}+\dfrac{b}{a}\)
\(\\ \sf\longmapsto \dfrac{a^2+b^2}{ab}\)
\(\\ \sf\longmapsto \dfrac{(a+b)^2-2ab}{ab}\)
Planes A and B are shown.
m
n
B
MA
If a new line, p, is drawn parallel to line /, which
statement is true?
O
Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line /
O Line p must be drawn in the same plane as line n.
The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
The given planes are A and B,
A new line, p, is drawn parallel to line l,
Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.
To know more about the line:
https://brainly.com/question/2696693
#SPJ1
The image of the remaining question is attached below.
Answer please :) I honestly don’t know and confused
68
I think, unless if it is multiplied =48
Answer:
48
Step-by-step explanation:
the h value is 8, so multiply 6 and 8,
for future reference, is there is no symbol in the middle, then you always multiply it
What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.
A company that makes fasteners has government specifications for a self-locking nut. The locking torque has both a maximum and minimum specified. The offsetting machine used to make these nuts has been producing nuts with an average locking torque of 8.62 in-lb and variance of 4.49 squared in-lb. Torque is normally distributed. If the upper specification is 13.0 in-lb and the lower specification is 2.25 in-lb, what percent of these nuts will meet the specification limits
Answer:
97.95% of these nuts will meet the specification limits.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The offsetting machine used to make these nuts has been producing nuts with an average locking torque of 8.62 in-lb and variance of 4.49 squared in-lb.
This means that \(\mu = 8.62, \sigma = \sqrt{4.49}\)
Torque is normally distributed. If the upper specification is 13.0 in-lb and the lower specification is 2.25 in-lb, what percent of these nuts will meet the specification limits?
The proportion is the p-value of Z when X = 13 subtracted by the p-value of Z when X = 2.25. So
X = 13
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{13 - 8.62}{\sqrt{4.49}}\)
\(Z = 2.07\)
\(Z = 2.07\) has a p-value of 0.9808.
X = 2.25
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2.25 - 8.62}{\sqrt{4.49}}\)
\(Z = -3.01\)
\(Z = -3.01\) has a p-value of 0.0013.
0.9808 - 0.0013 = 0.9795
0.9795*100% = 97.95%
97.95% of these nuts will meet the specification limits.
QUICK PLEASE HELP!!
I WILL MARK BRAINLIEST
Answer:
chill big daddy the answer is 3390230938498203.00999992323402913304257
Step-by-step explanation:
For the function f(x)=\(x^{2} +3x-18\) solve the following. f(x)\(\geq 0\)