Answer:
n = 25
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and is:
Parenthesis
Exponents & roots
Multiplication
Division
Addition
Subtraction
~
First, subtract 7 from both sides:
(-1/5)n + 7 (-7) = 2 (-7)
(-1/5)n = 2 - 7
(-1/5)n = -5
Next, multiply -5 from both sides:
(-1/5)(-5)n = (-5)(-5)
n = -5 * -5
n = 25
25 is your answer for n.
~
Answer: n = 25
Step-by-step explanation: In this equation, our first step is to isolate the n term by subtracting 7 from both sides.
On the left, +7 -7 cancels and we're left with -1/5n.
On the right, 2 - 7 simplifies to -5.
So we have -1/5n = -5.
In order to get n by itself, since it's being multiplied by a fraction,
we multiply both sides of the equation by the reciprocal of that fraction.
The reciprocal of -1/5 is -5/1.
So we multiply both sides of the equation by -5/1.
So we have (-5/1)(-1/5n) = -5(-5/1).
On the left, our 1's cancel and our 1's cancel.
Also, remember that a negative times a negative is a positive.
So on the left we are left with n.
On the right, -5(-5/1) is 25.
So n = 25.
Lisa has 10 pencils. She gives two pencils to Anna and one pencil to Ben. What fraction of her pencils did she give away?
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]\frac{3}{10}[/tex]
▹ Step-by-Step Explanation
2 + 1 = 3
Written as → [tex]\frac{3}{10}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
[tex] \frac{3}{10} [/tex]Step-by-step explanation:
Total pencils that Lisa had = 10 pencils
Total pencils that Lisa had given to Anna and Ben:
=2+1
= 3
Now,
Fraction of her pencils that she gave away:
[tex] \frac{3}{10} [/tex]
Hope this helps...
Good luck on your assignment...
What is the surface area of a sphere with a radius of 13 units?
A. 6767 units2
B. 10147 units
C. 8451 units2
D. 5077 units2
I hope this helps you
Sphere Surface Area Formula is
4.pi.r^2
4.pi.13^2
4.pi.169
676.pi
The surface area of the sphere with radius 13 units is S = 676π units²
What do you mean by a Sphere?A sphere is a three-dimensional geometrical object that is perfectly round in shape. A sphere is a fully spherical, three-dimensional geometrical object. Every point on its closed surface is equally spaced from the centre, which is the only point on the surface.The distance from the center to any point on the surface of the sphere is known as the radius of the sphere..
Surface Area of a Sphere = 4πr²
Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
They are used to represent many natural and man-made objects such as planets, basketballs, and molecules.
Let the data be ,
Let r = 13 units be the sphere's radius.
Let S be the sphere's surface area.
And , Surface Area of a Sphere = 4πr²
On simplifying , we get
S = 4π ( 13 )²
S = 4π ( 169 )
S = 676π units²
Thus, the sphere's surface area is S = 676 units2.
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I need help please! The sequence 6,18,54,162, ... shows the number of pushups Kendall did each week, starting with her first week of exercising (a) What is the recursive rule for the sequence (b) What is the iterative rule for the sequence
Answer:
a: 3
b. 6973568802
Step-by-step explanation:
a₁ = 6 , r = 3 , a₂₀ =?
Result:
a₂₀ = 6973568802
Explanation:
To find a₂₀ we use the formula
aₙ = a₁ · r ^ⁿ⁻¹
In this example we have a₁ = 6 , r = 3 , n = 20. After substituting these values to above
formula, we obtain:
aₙ = a₁ · r ^ⁿ⁻¹
a₂₀ = 6 · 3 ^²⁰⁻¹
a₂₀ = 6 · 1162261467
a₂₀ = 6973568802
Sreya bought shoes for $37.57 and x pairs of socks for $1.95 each. Which expression shows the total money spent? (1 point) 37.57x + 1.95 37.57x + 1.95x 37.57 + 1.95 + x 37.57 + 1.95x
Answer:
37.57 + 1.95x
Step-by-step explanation:
The cost of the shoes is a constant, and we don't know how many socks she bought, but we know that for every pair of socks she bought, they cost would be 1.95. Since we haven't been given the total cost of the purchase, meaning how much the total was, this will be an expression. We will multiply an x against the amount (1.95), which will calculate the price for how many socks were purchased. This means the answer will be 37.57 + 1.95x.
I will clarify a little bit more on why the other answers are incorrect. The first option is 37.57x + 1.95. This is incorrect because the question is not asking how many shoes were bought, but it is questioning how many socks were bought. Option number two states 37.57x + 1.95x. This means that the number of socks and shoes are both unknown, and the question does not state that. Also, another point to make would be that we could also add these variables together, and we do not want that. Option number three states 37.57 + 1.95 + x. X cannot be a separate variable, because by stating that, it means that there would be one more object that was bought that is unknown. I hope this helps you understand my explanation a bit more.
Have a great day, and best of luck for your math problem!
what is the slope of A line that passes through the points (−1, 2) and (3, 10)
Answer:
2
Step-by-step explanation:
(y2-y1) / (x2-x1)
(10-2) / (3-(-1))
8/(3+1)
8/4
2
Answer:
2
Step-by-step explanation:
(x¹, y¹) (x², y²) = (-1,2) (3,10)
Slope = (y²-y¹) ÷ (x²-x¹)
= (10 - 2) ÷ (3 -(-1))
= 8 ÷ 4
= 2
Answer the question below. Type your response in the space provided.
What is the surface area of the pyramid formed from the net shown here? The triangles are
equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one
decimal point and with the correct unit.
6 cm
Done
Clear
6 cm
6 cm
Answer:
[tex]62.4$ cm^2[/tex]
Step-by-step explanation:
The net of the triangular pyramid is attached below.
Since each of the faces is an equilateral triangle of side 6cm, the base of the pyramid will also be an equilateral triangle of side lengths 6cm .
In the equilateral triangles
Base = 6cmHeight =5.2 cmTherefore, the surface area of the pyramid formed from the net shown
= 4 X Area of One Triangular Face
[tex]=4 (\frac12 \times bh)\\=4 (\frac12 \times 6\times 5.2)\\=4(15.6)\\=62.4$ cm^2[/tex]
There are three cards. One is green on both sides, the second is red on both sides and the third is red on one side and green on the other. We choose a card at random and we see one side (also chosen at random). If the side we see is green, what is the probability that the other side is also green
Answer:
0.667
Step-by-step explanation:
According to Bayes theorem:
Since there are three cards, the probability that the side is green = 1/3
For the first card, if one side is green, the probability that the other side is also green = 1 (both sides are green)
For the second card, if one side is green, the probability that the other side is also green = 0 (both sides are red)
For the third card, if one side is green, the probability that the other side is also green = 1/2 (one side is green and the other side is red)
[tex]P(G_k/A)=\frac{P(G_k)P(A/G_k)}{\Sigma_{i=1\ to\ m} P(G_i)P(A/G_i)} \\P(B_1/A)=\frac{P(G_1)P(A/G_1)}{P(G_1)P(A/G_1)+P(G_2)P(A/B_2)+P(G_3)P(A/G_3)}\\ P(B_1/A)=\frac{1/3*1}{(1/3*1)+(1/3*0)+(1/3*1/2)=\frac{1/3}{1/2} }=0.667[/tex]
cual es la secuencia creciente de los divisores primos de 2520
Answer:
The answer is "[tex]2^3 \times 3^2 \times 5 \times 7\\\\[/tex]"
Step-by-step explanation:
Given:
2520
Prime factor=?
Prime factor of 2520 is:
[tex]= 2 \times 2 \times 2\times 3\times 3 \times 5 \times 7\\\\= 2^3 \times 3^2 \times 5 \times 7\\\\[/tex]
Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel. What is the length of Line segment G D? please help!
Answer:
5.5
Step-by-step explanation:
Picture Proof
Answer: 5.5 : ) ~ Hope you have a great day!
what is two plus two
Answer:
4 is the answer to your question
Step-by-step explanation:
Which point of intersection is the solution to the system that of equations y= 2/5x-1/2 and y=-1/3x+2/3
Answer:
x = 35/22
y = 3/22
Step-by-step explanation:
y= 2/5x-1/2 ................(1)
y=-1/3x+2/3 ...............(2)
10*(1)
10y = 4x -5 ...................(1A)
3*(2)
3y = -x +2 ....................(2A)
To find intersection, solve for y & x
4(2A) + (1A)
12y+10y = -4x+4x +8-5
22y = 3
y = 3/22
Substitute in (1)
3/22 = 2/5x -1/2
multiply by 110
15 = 44x - 55
70 = 44x
x = 70/44 = 35/22
Which best describes how the graph of g(x) =1/9sqrt(x) relates to the graph of the parent function, f(x) =sqrt(x) ? The graph of g(x) is shrunk vertically by a factor of 1/9. The graph of g(x) is stretched vertically by a factor of 1/9. The graph of g(x) is shrunk vertically by a factor of 1/3. The graph of g(x) is stretched vertically by a factor of 1/3.
Answer:
The graph g(x) is vertically shrunk by a factor of 1/9.
Step-by-step explanation:
Parent Graph: f(x) = a√(bx - c) + d
Since we are only modifying a, we are dealing with vertical shrink (a < 1) and stretch (a > 1). Since 1/9 < 1, we have a vertical shrink by a factor of 1/9.
The correct description is:
"The graph of g(x) is shrunk vertically by a factor of 1/9"
How do dilations work?
There are two types of dilations.
Vertical dilation:
For a function f(x), a vertical dilation of scale factor k is written as:
g(x) = k*f(x).
Where if k > 1, we have a dilation, if 0 < k < 1, we have a contraction.
Horizontal dilation:
For a function f(x), a horizontal dilation of scale factor k is wrtten as:
g(x) = f(x/k).
Where if k > 1, we have a dilation, if 0 < k < 1, we have a contraction.
Here we have:
f(x) = √xg(x) = (1/9)*√xSo we can see that g(x) is a vertical contraction of scale factor 1/9.
Then the correct option is:
"The graph of g(x) is shrunk vertically by a factor of 1/9"
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Use the substitution method to solve the system of equations. Choose the
correct ordered pair
y = 12x-8
y=8x
A (4.12
B (3,15
C. (5.11
D. (216)
Answer:
D) (2,16)
Step-by-step explanation:
Y=12x-8
Y=8x
8x=12x-8
8=12x-8x
8=4x
2=x
Y=8x
Y=16
The perimeter of a triangular field is 84 m, if the ratio of its sides are 13: 14:15, Find the area of the field. *
Answer:
[tex]Area = 336\ m^2[/tex]
Step-by-step explanation:
If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.
Then, if the perimeter is 84 m, we have:
[tex]P = 13x + 14x + 15x = 84[/tex]
[tex]42x = 84[/tex]
[tex]x = 2[/tex]
The length of each side is:
[tex]13x = 26\ m[/tex]
[tex]14x = 28\ m[/tex]
[tex]15x = 30\ m[/tex]
Now, to find the area of the field, we can use the following formula:
[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}[/tex]
Where a, b and c are the sides and p is the semi perimeter:
[tex]p = P/2 = 42\ m[/tex]
So we have that:
[tex]Area = \sqrt{42(42-26)(42-28)(42-30)}[/tex]
[tex]Area = 336\ m^2[/tex]
A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. Claim amounts are uniformly distributed on the interval [0,60] and are independent. The insurer covers 100% of each claim. Calculate the probability that the total benefit paid to the policyholder is 48 or less.
Answer:
0.89.
Step-by-step explanation:
So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;
(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."
(2). " distributed on the interval [0,60] and are independent."
(3). "The insurer covers 100% of each claim."
So, taking (1) above we will have;
(Total probability= 0.7 + 0.2 + 0.1 = 0.1)
A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.
0.8 + total probability = 0.8 + 0.1 = 0.9.
So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."
Hence, P< 48/A = P < 48/0.9 = P < 53.33.
Thus, 53.33/60 = 0.89.
Vincent wants to put 75 photograph in an album. A full page holds 6 photo graphs. what is the smallest number of pages vincent uses? (67)(72)(51)(42)(73)(64)(60)(20)(69)
Answer:
He needs just 13 pages
That is round up to not more than 20 pages will be the smallest
Step-by-step explanation:
Vincent wants to put 75 photograph in an album.
And a full page holds 6 photo graphs.
If 6 photographes is one page
Then 75 photographes =( 75*1)/6
75 photographes = 75/6
75 photographes= 12.5
12.5 pages will hold 75 photographes but nothing like 12.5 pages.
To the nearest page = 13 pages
Nine less than the quotient of two and a number x.
Answer:
Hey there!
Your answer would be x/2 - 9
Answer:
2 ÷ x - 9
Step-by-step explanation:
Quotient of two is written as = 2 ÷ x
Nine less is written as = -9
Final answer = 2 ÷ x - 9
Hope this helped! :)
Can someone please help me I really need help please help me thank you
Answer:
We can call the supplementary angle of x as (180 - x)°. Since the lines are parallel, 61° and (180 - x)° are congruent because they are alternate interior angles. We can write:
61 = 180 - x
-119 = -x
x = 119°
check all the answers of a present the same level precision. A) 22.543 B) 98.4 C) 0.264 D) 1.04
Answer:
A,and C
Step-by-step explanation:
A and C have the same level precision , they have three significant digit
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
the function has two real roots and crosses the x axis in two places.
Step-by-step explanation:
Using the general quadratic formula;
[tex]x = \frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]
for a quadratic equation
[tex]ax^2 +bx+c=0[/tex]
given the quadratic function below;
[tex]G(x) = -x^2 +4x+2[/tex]
the roots of the equation can be calculated by applying the quadratic formula.
[tex]x = \frac{-4\pm \sqrt{4^2 -(4*-1*2)}}{2*-1}\\x = \frac{-4\pm \sqrt{16 -(-16)}}{-2}\\x = \frac{-4\pm \sqrt{32}}{-2}\\x = 4.449 \\or\\x = -0.449\\[/tex]
Therefore, the function has two real roots and crosses the x axis in two places.
Attached is the graph of G(x) for more understanding.
The following table shows the expressions that represent the sales of 4 companies
Rank the company sales by smallest to largest percent of increase and select the correct answer below
Answer: A,B,D,C
Step-by-step explanation:
Hi, to answer this question we have to analyze each expression:
Assuming x is the number of years, we have to calculate each equation for x =1:
A = 110 (0.70)^X = 110 (0.70)^1= 77
B = 140 (1.07)^X= 140 (1.07)^1 = 149.8
C =430 (1.90)^x=430 (1.90)^1= 817
D = 310 (1.14)^x= 310 (1.14)^1= 353.4
Comparing the sales:
77(A) < 149.8 (B) <353.4 (D) < 817(C)
So, the correct option is:
A,B,D,C
One serving of pretzels contains 1.5 grams of fat. That is 3% of the daily amount recommended for a 2,000 calorie diet. How many grams of fat are recommended? Show your work.
Answer: 50 grams of fat
Step-by-step explanation:
From the question, we are informed that one serving of pretzels contains 1.5 grams of fat which is 3% of the daily amount recommended for a 2,000 calorie diet.
This means that we are expected to find the grams of fat for 100%. Since one serving of pretzels contains 1.5 grams of fat which is 3%, this means 1% will contain (1.5/3) = 0.5 grams of fat.
Therefore the grams of fat that are recommended will be:
= 100 × 0.5
= 50 grams of fat
Answer:
50 grams of fat
1.5 / 3 = 0.5
0.5 x 100 = 50
Step-by-step explanation:
A man from a village X on a bearing of 060 degree to a village Y which is 20km away.From Y,he travels to a village Z,on a bearing of 195 degree. If Z is directly east of X , calculate, correct to three significant figure the distance of Y from Z and Z from X
Distance from Y to Z is 10.4 km and Z to X is 20 km
What is Distance?Distance is a numerical measurement of how far apart objects or points are.
What is Triangle?A triangle is a polygon with three edges and three vertices.
From the given data plot the graph,
Then,
∠XYZ=∠YZX=75 degrees
Therefore XY=XZ=20 km
[tex]YZ^{2}=20^{2} +20^{2} -2(20)(20)cos30[/tex]
YZ=10.4 km
Hence, Distance from Y to Z is 10.4 km and Z to X is 20 km
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Answer:
Step-by-step explanation:
Anybody pls solve this question and explanation btw.
Answer:
[tex]Vol=883.6875\,\, cm^3\\[/tex]
Step-by-step explanation:
Recall that the volume of a whole sphere is given by the formula:
[tex]Vol_{sphere}=\frac{4}{3} \pi\,R^3[/tex]
then, the volume of a semi-sphere would be half of the formula above:
[tex]Vol=\frac{2}{3}\, \pi\,R^3[/tex]
Now, the radius R is given by half of the semi-sphere diameter: 15/2 = 7.5 cm.
which makes our calculation:
[tex]Vol=\frac{2}{3}\, \pi\,R^3=\frac{2}{3}\, \pi\,(7.5\,cm)^3=883.6875\,\, cm^3\\[/tex]
Find the value of y.
168
X
y = [? ]°
Answer:
Y=96Step-by-step explanation:
The required value of y = 192°.
In a circle angle angle of arc x =168°. Angle of arc y is to be determine.
The angle can be defined as line inclined over other line by certain measure called angle.
Here, a circle has angle= 360°
x +y =360°
y = 360°-x
y = 360°-168°
y = 192°
Thus, the required value of y = 192°.
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Please help i will give out brainliest
Answer:
A
Step-by-step explanation:
To determine if a point lies on the curve, substitute the x- coordinate into the equation. If the value obtained is equal to the y- coordinate then the point lies on the curve, that is
A
y = ([tex]\frac{3}{2}[/tex] )² = [tex]\frac{9}{4}[/tex] ≠ [tex]\frac{9}{2}[/tex] ← not on line
B
y = (- 1)² = 1 ← lies on line
C
y = 4² = 16 ← lies on line
D
y = ([tex]\frac{1}{2}[/tex] )² = [tex]\frac{1}{4}[/tex] ← lies on line
What is the original price of a packet of biscuits bought for Rs230 including 6% tax
Answer:
Rs216.98
Step-by-step explanation:
If Rs230 is including the 6% tax then 230 = 106%
230 / 106 = 1% = 2.1698
2.1698 X 100 = 100% = 216.98
The original price of a packet of biscuits will be Rs216.98.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the original price of a packet of biscuits bought for Rs230 including 6% tax.
The original price will be calculated as below:-
If Rs230 is including the 6% tax then 230 will be equal to 106 percent as below:-
230 = 106%
Then 1 percent will be equal to the ratio of 230 and 106 as below,
1% = 230 / 106= 2.1698
Divide 230 by 106 and to calculate the original price multiply by 100.
2.1698 X 100 = 100% = Rs216.98
Therefore, the original price of a packet of biscuits will be Rs216.98.
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Please can you help me, it would be greatly appreciated.
Answer:
20 cm^2.
Step-by-step explanation:
If the scale factor is 2 each of the sides of the figure will be increased by a factor 2.
So each side will have a length of 2 * 1 = 2 centimeters.
It will consist of 5 squares of dimension 2*2 = an area of 4 cm^2
So the area of the new cross is 5*4 = 20 cm^2.
We can also calculate the area directly by multiplying by 2^2 ( the scale factor)squared.)
The original area = 5 so the area of the enlarged figure = 5 * 2^2 = 20 cm^2.
The angle measurements in the diagram are represented by the following expressions.
MY
ZA = 5.7 - 15
ZB = 2x + 21
Pro
Pro
Tea
Solve for x and then find the measure of B:
Answer:
x = 12
m(∠B) = 45°
Step-by-step explanation:
Given question is incomplete; find the complete question in the attachment.
In the figure attached two lines 'l' and 'm' are the parallel lines and line 'n' is a transverse.
Angles A and B are the "Alternate exterior angles" which will equal in measure.
m(∠A) = m(∠B)
(5x - 15) = (2x + 21)
5x - 2x = 15 + 21
3x = 36
x = 12
Since, m(∠B) = (2x + 21)
= (2×12) + 21
= 24 + 21
= 45°
Therefore, x = 12 and measure of angle B will be 45°.
1. What is the equation for the following graph
use photo for graph
x = 4 is the answer because the y coordinate is zero and at x axis it intersects at 4..
please mark it as brainliest ❤️❤️ and follow me..
Answer:
x=5 is the answer
Step-by-step explanation:
hope this helped