The quantity is 25/8.
Given in words to evaluate the expression, 2 squared times 2 to the power of negative 5 and over 5 to the power of negative two.
Square of a number denotes a number to the power of 2.
The expression is : [tex]\frac{2^2\times2^{-5}}{5^{-2}}[/tex]
We have to use the law of exponents here:
[tex]a^m \times a^n = a^{m+n}[/tex]
and
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
In the above cases, the bases should be same for the two numbers.
So [tex]2^2 \times 2^{-5} = 2^{-3}[/tex]
Also, negative exponents like [tex]a^{-m} = \frac{1}{a^m}[/tex].
Therefore, [tex]\frac{2^{-3}}{5^{-2}} = \frac{5^2}{2^3} =\bold{ \frac{25}{8} }[/tex]
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Please help.............
Answer:
a. 754cm³ (3 s.f.)
b. 415cm² (3 s.f.)
Step-by-step explanation:
Formulas (for easier reference):
Volume of cone: [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
Volume of hemisphere: [tex]\frac{2}{3}[/tex][tex]\pi[/tex]r³
Surface area of cone without base: [tex]\pi[/tex]rl
Surface area of hemisphere without base: 2[tex]\pi[/tex]r²
We can just apply the formulas for the question:
Volume of toy = ([tex]\pi[/tex] × 6² × [tex]\frac{8}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] 6³)
= 96[tex]\pi[/tex] + 144[tex]\pi[/tex]
= 240[tex]\pi[/tex]
= 754cm³ (3 s.f.)
Surface area of toy = ([tex]\pi[/tex] × 6 × 10) + (2 × [tex]\pi[/tex] × 6²)
= 60[tex]\pi[/tex] + 72[tex]\pi[/tex]
= 132[tex]\pi[/tex]
= 415cm² (3 s.f.)
HELP What is the equation in slope-intercept form of the line that crosses the y-axis at 3 and is perpendicular to the line represented by y=2/5x+2
Answer:
its C
Step-by-step explanation:
Find the compound interest on Rs. 2000 for one year at the rate of '20%' per annum. If theinterest compounded quarterly.
Given:
Principal = Rs. 2000
Rate of interest = 20% p.a. compounded quarterly.
Time = 1 year
To find:
The compound interest.
Solution:
Formula for amount:
[tex]A=P\left (1+\dfrac{r}{n}\right)^{nt}[/tex]
where,
P = Principal
r = Rate of interest
t= Time
n = number of times interest compounded in an year.
Putting P=2000, r=0.2, n=4 and t=1, we get
[tex]A=2000\left (1+\dfrac{0.2}{4}\right)^{4(1)}[/tex]
[tex]A=2000\left (1.05\right)^{4}[/tex]
[tex]A=2000\left (1.21550625\right)[/tex]
[tex]A=2431.0125[/tex]
Now, the compound interest is
[tex]C.I.=A-P[/tex]
[tex]C.I.=2431.0125-2000[/tex]
[tex]C.I.=431.0125[/tex]
Therefore, the compound interest is Rs 431.0125.
PLEADE ANSWER QUESTION NO. 2
2. ABCD is a parallelogram. What is the value of x?
[tex]2x+40=60\\2x=20\\x=10[/tex]
Simplify 3x + 6x2 - 5x - x2. 6 x^2 + 2 x
6 x^2 - 2 x
5 x^2 - 2 x
5 x^2 + 2 x
Answer: 2-9x2
Step-by-step explanation:
uhhh i am pretty sure it is d
What is distance between -8 and 3 on the number line
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
You do -8 - 3 and you get 11
An airplane is descending to a runaway. At an altitude of 15.2 miles, its horizontal distance to the runway is 60 miles. Find the angle of descent.
Answer-
The angle of descent is 14.2
The measure of the angle of the descent will be 14.22°.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
A plane is sliding to a runaway. At a height of 15.2 miles, its level distance to the runway is 60 miles.
The tangent of angle θ is the ratio of the height to the base of the right-angle triangle.
The measure of the angle of the descent will be given as,
tan θ = 15.2 / 60
tan θ = 0.2533
θ = tan⁻¹ 0.2533
θ = 14.22°
The measure of the angle of the descent will be 14.22°.
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Henry showed all the steps he took to solve the equation.
4 (negative one-half x + 7) + 5 x = 15
Step
Simplified Expression
1
-Negative 2 x + 28 + 5 x = 15
2
3 x + 28 = 15
3
3 x = 15
4
x = 5
Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?
Step 1 is wrong because the distributive property of equality was used incorrectly.
Step 2 is wrong because the addition property of equality was used incorrectly.
Step 3 is wrong because the subtraction property of equality was used incorrectly.
Step 4 is wrong because the division property was used incorrectly.
Answer:
The correct awnser is C.
Step-by-step explanation:
TRUMP 2024BIDON STINKS HE IS A SOCHALISTSomeone help I’m failin geometry
The value of x will be 12°
How to calculate the angle?It should be noted that vertically opposite angles are equal.
Therefore, 4x will be equal to 48°
The value of x will be calculated thus:
4x = 48
Divide
x = 48/5
x = 12
Therefore, the value of x will be 12°
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Answer: 12
Step-by-step explanation:
vetrtical angles are equal to eachother. So to solve you would do
4x=48
then you have to get x by itself and to do so you need to divide the four by itself which will leave one. And as a rule you have to do it to the other side as well so…
4/4x=48/4
x=12
And that’s your answer
hope this helps
(01.03 mc) betty and billy are selling cookies at the school bake sale. billy sold twice as many cookies as betty. together, they sold 15 cookies at t
Cookies sold by Billy are 10 and by Betty are 5;
Total cookies sold by Billy and Betty are 15;
Let the cookies sold by Billy be 'C₁' and by Betty be 'C₂';
C₁ + C₂ = 15; -(i)According to question;C₁ = 2C₂; -(ii)Using (ii) in (i);3C₂ = 15;C₂ = 5;C₁ = 10;what is Permutation?
In mathematics, permutation relates to the act of arranging all of the contributors of a hard and fast into a few sequence or order. In other words, if the set is already ordered, then the rearranging of its elements is called the process of permuting. diversifications occur, in extra or less prominent methods, in almost every place of arithmetic. They regularly stand up whilst one of a kind orderings on positive finite sets are considered.
what's a combination?
The mixture is a manner of selecting objects from a collection, such that (not like permutations) the order of selection does now not matter. In smaller instances, it is feasible to be counted the wide variety of combinations. combination refers back to the mixture of n things taken ok at a time with out repetition. to consult combos in which repetition is authorized, the terms k-choice or k-mixture with repetition are regularly used.
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PLZ help
An image that is 5 inches wide on the transparency is 25 inches wide on a screen. What is the scale factor?
Answer:
Its 5
Step-by-step explanation:
25 divided by 5 is 5
A farmer divides a rectangular plece of land with a perimeter of 140 yards into two trlangular parts as shown in the dilagram. If the area of ABC Is
600 square yards, what is the area of ACDR
Answer:
460 Square Yards.
Step-by-step explanation:
This answer was made using X,Y,Z in yards. (And Times)
delta math When the function f(x) is divided by 3x+7, the quotient is 3x^2+3x-2 and the remainder is −1. Find the function f(x) and write the result in standard form.
Answer:
x=√3
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2+3x−2=3x+7
Step 1: Subtract 3x from both sides.
3x2+3x−2−3x=3x+7−3x
3x2−2=7
Step 2: Add 2 to both sides.
3x2−2+2=7+2
3x2=9
Step 3: Divide both sides by 3.
3x2
3
=
9
3
x2=3
Step 4: Take square root.
x=±√3
x=√3 or x=−√3
Step-by-step explanation:
what is correct answer plss tell me also
Please help. Super easy. Show the work you did also please! Sorry the photo is upside down.
Answer:
The 65% markdown on $158.25 reduces the price by = $102.86
And the new amount price after 65% markdown = $158.25 - $102.86
= $55.39
Step-by-step explanation:
Given the amount
$158.25The Markdown = 65%If the Markdown on $158.25 is 65%
i.e.
65% of $158.25 = 65/100 × 158.25
= 0.65 × 158.25
= $102.86
So, the 65% markdown on $158.25 reduces the price by = $102.86
And the new amount price after 65% markdown = $158.25 - $102.86
= $55.39
Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for the trip. What is the total amount needed?
A~ $114 B~ $27.50
C~ $106 D~ $440
Answer
D. 440
Step-by-step explanation:
you had me confused so I had to go in my mathmetics book it was 1/4 not 14 thats what had me confused
jamie drew a scale drawing of the town library. the scale of the drawing was 5 centimeters : 2 meters. the parking lot is 114 meters long in real life. how long is the parking lot in the drawing?
The length of parking lot in drawing will be 285 centimeters.
We are given the ratio of measurement in drawing to the measurement in real. In the ratio, 5 centimeters represents measurement in drawing and 2 meters represent drawing in real. Further, let the length of parking lot in real life be x centimeters.
Representing the mentioned information in ratio and proportion form - 5÷2=x÷114
Now performing cross multiplication of mentioned ratio and proportion to find the value of x.
2 × x = 5 × 114
Performing multiplication on Right Hand Side of the equation
2 × x = 570
Shifting 2 to denominator on Right Hand Side of the equation
x = 570÷2
Performing division on Right Hand Side of the equation
x = 285 centimeters.
Hence, the length of parking lot in drawing will be 285 centimeters.
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Use the Cross Products Property to solve x/35=2/7
Answer:
x/35 = 2/7
x = 2/7 ×35
x = 2×5
x = 10
Answer:
x = 10
Step-by-step explanation:
Equation Solving
A common strategy to solve equations given in a rational form is to eliminate denominators.
If the equation is given in the form:
[tex]\displaystyle \frac{x}{a}=\frac{b}{c}[/tex]
We use the cross-product property to make it linear:
cx = ab
And solve it easily by dividing by c.
We are given the equation:
[tex]\displaystyle \frac{x}{35}=\frac{2}{7}[/tex]
Cross-multiplying the denominators:
7x = 2*35
Solving:
x = 70/7=10
x = 10
Apply the distributive property to create an equivalent expression.
5v+110
Answer: 5(v + 22).
Step-by-step explanation: The distributive property is a property of mathematics that says that multiplying the sum of two or more terms by another term will give the same result as multiplying each term individually by the other term and then adding the products together. Thus, we can factor the given equation and get 5(v + 22).
A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is considering ordering a certain number of sofas, x, and a certain number of pillows that come in pairs, y. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Answer:
D on edge
Step-by-step explanation:
If WXY is equilateral and WZY is
isosceles, find each missing measure.
Answer:
m∠1 = 60°
m∠2 = m∠4 = 39°
m∠3 = m∠5 = 21°
Step-by-step explanation:
ΔWXY is a equilateral angle,
Therefore, all angles of the the triangle are equal in measure.
m∠W + m∠X + m∠Y = 180°
3m∠W = 180°
m∠W = 60°
Since, ΔWZY is an isosceles triangle,
m∠3 = m∠5
m∠3 + m∠Z + m∠5 = 180°
m∠3 + 138° + m∠3 = 180°
2m∠3 = 180 - 138
m∠3 = 21°
Therefore, m∠3 = m∠5 = 21°
Since, m∠2 + m∠3 = 60°
m∠2 = 60 - 21
= 39°
Since, m∠4 + m∠5 = 60°
m∠4 = 60 - 21
= 39°
m∠1 = 60°
what is the equation of the line?
Answer:
(3,10)-(3,-10)
Step-by-step explanation:
The equation of line is x =3 .
Given,
Straight line graph.
Now,
Equation of line : y = mx + c
m = slope of straight line
c = y intercept.
Here,
The straight line is passing through x = 3 and y = 0.
So, y intercept is also zero.
Thus the equation of line : x = 3
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HELPPPPPP PLS
Which equation represents this graph?
O f(x)=√x-2+3
Of(x)=√x+2+3
Of(x)=√x+2+3
O f(x)=√x-2+3
[tex]Answer:\ f(x)=-\sqrt{x-2}+3[/tex]
Step-by-step explanation:
The linear system shown is _____.
inconsistent
independent
equivalent
Answer:
The linear system shown is inconsistent.
Step-by-step explanation:
In the system given, the lines do not cross each other. This means that the system has no solution.
A linear system with no solution is considered to be inconsistent.
Hope this helps.
Answer:
the guy above me is right I had it in a test give him branilest
Step-by-step explanation:
5.
Select the correct answer from each drop-down menu.
A school club will be competing at a state championship has been working to raise money for the club's travel expenses. The table shows
the amount of money raised each month over a nine-month period beginning in August
Month
1
2
4
5
6
7
8
9
Amount ($)
250
275
325
300
350
375
375
350
350
Based on the data in the table, Clara and Michael each use their own function to determine the amount of money the club should expect to raise
in the next three months.
Clara's function: y = -3.14.2 + 44.75 + 203.6
Michael's function: y = 44.64V1 + 1 + 246.5
How does using the different models affect the amount of money the club would expect to raise in the next three months?
If the club uses Clara's function, it would expect the amount of money to
If the club uses Michael's function, it would expect the amount of money to
each month
each month
Reset
Next
Answer:
descrease & increase
Step-by-step explanation:
Answer:
Decrease and increase.
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINLIEST
The measure of the supplement of an angle is 12 greater than twice the measure of its complement.
a. Measure of the angle = __________°
b. Measure of the supplement = __________°
a. 12 deg, b. 168 deg
We can create a systems of equations using this information, since supplement angles add up to 180 deg and complementary angles add up to 90 deg, when angle = x deg and supplement = y deg,
x + y = 180
y = 2(90 - x ) + 12
Solving:
x + 2(90 - x) + 12 = 180
-x + 180 + 12 = 180
x = 12
12 + y = 180
y = 168
MARKING BRAINLIEST TO CORRECT ANSWERS ONLY!
A teacher’s monthly gross pay is $5,321. The federal government withholds 15% of the teacher’s monthly gross pay for income taxes. How much does the teacher pay in income tax every month?
Answer:
$798.15
Step-by-step explanation:
Easy multiply $5,321 by 15
79,815/ 100
the square root of 3x+4=4 what is x
Answer: x=10
Step-by-step explanation: 1.Subtract the numbers
2. Divide both sides of the equation by the same term
3.Simplify (Cancel terms that are in both the numerator and denominator)
Find the 13th term of the arithmetic sequence -5x+8−5x+8, x+2x+2, 7x-4,
The 13th term of the given arithmetic sequence is estimated as a = 67x - 64.
What is meant by sequence to be arithmetic?In Arithmetic Progression, the difference between the two arithmetic orders is a constant value (AP). Arithmetic Sequence is another name for it.
We'd get to a few specific terms in AP, that were denoted as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)The AP may also be defined using common distinctions, as shown below.
The following is the formula for determining an AP's n-th term: an = a + (n − 1) × dThe arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.Now, for the given question;
Consider the first term is 'a₁' = -5x+8
Consider the second term as 'a₂' = x+2
Then, the common difference is calculated as;
d = a₂ - a₁
d = x+2 -(-5x+8)
d = x+2 + 5x - 8
d = 6x - 6
Now, find the 13th term using the formula of nth term;
an = a + (n − 1) × d
a₁₃ = a₁ + (13 - 1) × d
Substituting the values;
a₁₃ = -5x + 3 + (13 - 1) × (6x - 6)
a₁₃ = -5x + 3 + (12) × (6x - 6)
a₁₃ = -5x + 3 + 72x - 72
a₁₃ = 67x - 64
Therefore, the value of the 13th term of an arithmetic sequence is found as a₁₃ = 67x - 64.
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The correct question is-
Find the 13th term of the arithmetic sequence
−5x+8, x+2, 7x-4,
Consider the line 7x+9y=5
what is the slope of a line parallel to this line?
what is the slope of a line perpendicular to this line?
Answer:
The slope of a line parallel to this line will be: -7/9
The slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]
Step-by-step explanation:
We know the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope b is the y-interceptGiven the equation
[tex]7x+9y=5[/tex]
simplifying to write in the lope-intercept form
[tex]y=-\frac{7}{9}x+\frac{5}{9}[/tex]
Thus, the slope of the line is: -7/9
The slope of a line parallel to the line:
We have already determined that the slope of the line is: -7/9
We know that the parallel lines have the same slope.Thus, the slope of a line parallel to this line will be: -7/9
The slope of a line perpendicular to the line:
We have already determined that the slope of the line is: -7/9
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]
OKAY BRAINLY 3 MORE MATH QUESTIONS AND THEN IM OUT OF YOUR HAIR FOR TONIGHT AND YOU CAN STOP SENDING ME WARNINGS!!!!1
Answer:
1. Undefined slope 2.y<2x-5 3.30x+515
Step-by-step explanation: