Answer:
1.19x = 12
Step-by-step explanation:
To write an equation, we multiply the cost of each song by the number of songs, x
1.19 * x
This is equal to the total amount he is allowed to spend
1.19x = 12
Answer:
D
Step-by-step explanation:
If Doug can download new songs for $1.19 each, then he will be able to download 12 songs.
Express a) 36 b) 80 as sum of two prime numbers
⊱________________________________________________________⊰
Answer:
See below.Step-by-step explanation:
[tex]\large\begin{gathered} \sf{36=19+17. 19 \ and \ 17 \ are}\\ \sf{\ both \ primes, \ because \ they're \ only \ divisible \ by \ 1 \ and \ themselves} \\ \sf{ 80=73+7. \ Again, \ 73 \ and \ 7 \ \underline{ARE} \ prime. \end{gathered}}[/tex].
Done!!
⊰________________________________________________________⊱
CαlligrαphyA shopkeeper had 3sacks of sugar each weighing a mass of 90kg.he repacked the sugar in 0.00025tonnes packets.how many packets did he obtain?
Answer:
1080.
Step-by-step explanation:
0.00025 tonnes = 0.00025 * 1000 = 0.25 kg.
Total number of packets
(3 *90) / 0.25
= 12*90
= 1080.
The steps to derive the quadratic formula are shown below:
Step 1 ax2 + bx + c = 0
Step 2 ax2 + bx = − c
Step 3 x2 + b over a times x equals negative c over a
Step 4 x2 + b over a times x plus b squared over 4 times a squared equals negative c over a plus b squared over 4 times a squared
Step 5 x2 + b over a times x plus b squared over 4 times a squared equals negative 4 multiplied by a multiplied by c, all over 4 multiplied by a squared plus b squared over 4 times a squared
Step 6
Provide the next step to derive the quadratic formula. (1 point)
x plus b over 2 times a equals plus or minus b squared minus 4 times a times c all over the square root of 4 times a squared
x plus b over 2 times a equals plus or minus b minus 2 times a times c all over square root of 2 times a
x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 4 times a squared
x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 2 times a
Answer: [tex]x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}[/tex]
Step-by-step explanation:
We can rewrite the left hand side as a perfect square, more specifically
[tex]\left(x+\frac{b}{2a} \right)^2[/tex]
So, taking the square root of both sides,
[tex]x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}[/tex]
Try it
Which graph represents the function h(x) = 5.5|x]?
LIV
-2
2 4
-4-2
Intro
2
-4-2
O
2 4
-4-2
2
[tex]take \: some \: values \\ h(1) = 5.5 \times |1| = 5.5 \times 1 = 5.5 \\h(2) = 5.5 \times |2| = 5.5 \times 2 = 11 \\ h(4) = 5.5 \times |4| = 5.5 \times 4= 22[/tex]
It's clearly the second option since the other ones aren't steep enough.Classify the polynomial by its degree and number of terms. Select all choices that apply for each polynomial.
(which is correct ??)
Step-by-step explanation:
The polynomial highest degree is 2 so the degree is 2.
The binomial have three terms so it is a trinomial.
A tire on a car has an outside diameter of 36.30 in. Through what angle (in radians) does the tire turn while traveling 1 mile?
Answer: 3491.91 radians
Step-by-step explanation:
The total distance in inches traveled by car = 63,360 inches (1 mile)
Total Revolution made by tire through traveling =
[tex]=\frac{63360}{\pi *36.30}[/tex]
We know 1 revolution angle made by tire = 2π radian (360 degrees/1 revolution of unit circle)
In [tex]\frac{63360}{\pi *36.30}[/tex] ,
the revolution angle made by the tire =
[tex]=2\pi * \frac{63360}{\pi 36.60}[/tex]
[tex]=2 * \frac{63360}{ 36.60}[/tex]
[tex]= 3491.91[/tex] radian
what is n divided by 2 plus five minus n
The Simplified algebraic expression for the statement "n divided by 2 plus five minus n" is given by 5-(n/2).
Algebraic Expression is a mathematical expression involving variables, Numbers, other mathematical quantities, and mathematical operations and combinations of them.
Here given statement is "n divided by 2 plus five minus n"
Now we have to write the above given statement as simplified algebraic expression.
"n divided by 2" is given by = n/2
then "n divided by 2 plus five" is given by = (n/2)+5
there after "n divided by 2 plus five minus n" is given by = (n/2)+5-n
Simplifying the total algebraic expression we get,
(n/2)+5-n = 5-{n-(n/2)} = 5-((2n-n)/2) = 5-(n/2)
Hence the suitable Simplified algebraic expression for the given statement is given by = 5-(n/2)
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Given the following linear function sketch the graph of the function and find the domain and range. f( x ) = 2/7 x− 2
Answer:
Domain: All Real Numbers Range: All Real Numbers
Step-by-step explanation:
The domain and range is going to be infinite. The linear function will be using the x and y- axis in order to continue being a function. The y-intercept will be -2 on the y-axis. I recommend using the rise-over-run method for your slope value. from the point (0, -2) on the y-axis. Go up two on the y-axis, and right 7 on the x-axis.
Sorry, it may be difficult to explain through words.
Which of the following could be rewritten as an addition problem of two integers with the same sign?
8 - 10
-8 - 10
-8 + 10
-8 - (-8)
5 quick algebra 1 questions for 50 points!
Only answer if you know the answer, shout-out to subtomex0, tysm for the help!
[tex]x {}^{2} - 8x - 9 = 0 \\ x + y = 8 \\ xy = - 9[/tex]
Two numbers who sum up to 8 and multiply to -9 are: 9 and -1Q 4 - d -[tex]g(x) = x {}^{2} - 7x + 12 \\ g(6) = 36 - 42 + 12 = 6 \\ g( - 7) = 49 + 49 + 12 = 110 \\ g( - 3) = 9 + 21 + 12 = 42 \\ g(4) = 16 - 28 + 12 = 0[/tex]
x=4 is a rootThese problems can be approached in many ways: completing the square/factoring/using the quadratic formula...Q 1 - c -h(x)= -2x+10h(0)=10 ( 0 , 10 )h(x)=0x=5 ( 5 , 0 )Q 5 - True -f(x) = 2x²+3x-2f(x)=02x²+3x+2=0x=-2 x=1/2Q 4 - 3 is the zero -b
Answer:
Question 1:The correct answer is C. -1 and 9
Question 2: The correct answer is D.4
Question 3: The correct answer is C. The x-intercept of (5,0) and y-intercept of (0,10)
Question 4: The correct answer is B. True
Question 5: The correct answer is b.
In a large population, 76% of the households have cable tv. A simple random sample of 225 households is to be contacted and the sample proportion computed. What is the mean and standard deviation of the sampling distribution of the sample proportions
0.017559
It is given that:
Probability of Households Having cable TV, p₀ = 76% = 0.76
Therefore,
The probability that the Households not having cable TV = 1 - 0.76 = 0.24
Sample size, n = 225 households
sample proportions is less than 82% i.e p = 0.82
Now,
The standard error, SE = [tex]\sqrt{} \frac{0.76(1-0.76)}{225}[/tex]
= 0.02847
Z = [tex]\frac{0.82-0.76}{0.02847}[/tex]
Z = 2.107
therefore, P(sample porportions < 0.82) = P(Z < 2.107)
now from the p value from the Z table we get P(sample porportions < 0.82) = 0.017559
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Fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Solve the two-step equation. -9x + 0.4 = 4
Which operation must be performed to move all the constants to the right side of the equation?
In order to move a the constant terms to the right hand side, we need to subtract 0.4 from both sides of the equation.
What are the constant terms?In an equation, the constant terms are those terms that do not have any alphabet attached to them. In this case, 4 and 0.4 are constant terms.
In order to move a the constant terms to the right hand side, we need to subtract 0.4 from both sides of the equation thus;
-9x + 0.4 - 0.4 = 4 - 0.4
-9x = 3.6
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John lives in Vermont and Julie lives in Florida. One January day, it was 52°F in Florida and 9°F in Vermont. What was the difference in temperature.
Answer:
43
Step-by-step explanation:
52-9=43
The weight of an apple is 150g, rounded to the nearest 5g. what is the lower bound and upper bound?
The lower bound is 147.5 and the upper bound is 152.5.
Given the weight of an apple 150 g rounded to the nearest 5g.
We have to find lower bound and upper bound.
Lower bound is an element less than or equal to all the elements in a given set.
Upper bound is an element greater than all the elements in a given set.
Lower bound= Number 1- (Number nearest to which number 1 is rounded)/2
Upper bound=Number 1+(number nearest to which number 1 is rounded)/2
Weight of an apple =150 g
Lower bound=150-5/2
=150-2.5
=147.5
Upper bound=150+5/2
=150+2.5
=152.5
Hence the lower bound is 147.5 and upper bound is 152.5.
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Triangles F G H and F J H share common side F H. Sides F G and G H are congruent. Sides F J and J H are congruent.
Which explains whether ΔFGH is congruent to ΔFJH?
They are congruent because GH ≅ GF, JF ≅ JH, and FH ≅ FH.
They are congruent because opposite sides of a parallelogram are congruent.
They are not congruent because only one pair of corresponding sides is congruent.
They are not congruent because only two pairs of corresponding sides are congruent.
Answer:
They are congruent because GH ≅ GF, JF ≅ JH, and FH ≅ FH.
Step-by-step explanation:
Evaluate 43 – 3m for m = 6.
Answer:
= 43 - 3×6= 43 - 18Therefore , 25 ans.
Find the midpoint of points A(10,-7) and B(6, 1) graphically.
Answer:
(8,-3)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x^{1}+x^{2} }{2}, \frac{y^{1} +y^{2} }{{2} } )[/tex]
Plug in your numbers from the coordinates:
(10+6/2, -7+1/2)
(16/2, -6/2)
(8,-3)
ABC is an equilateral triangle whose vertex A has the co-ordinates (0, √3). Find the co- ordinates of B and C.
Answer:
B = (-1, 0)
C = (1, 0)
Step-by-step explanation:
Properties of an Equilateral Triangle
Three sides of equal lengthAll interior angles are 60°Given:
ΔABC is an equilateral triangleVertex A is at (0, √3)Drawing an altitude from vertex A divides the triangle into two 30-60-90 triangles.
A 30-60-90 triangle is special right-angled triangle where:
Angles are in the ratio 1 : 2 : 3Sides are in the ratio 1 : √3 : 2Therefore, the formula for the sides is: b : b√3 : 2b, where:
b = shortest side opposite the 30° angleb√3 = side opposite the 60° angle2b = longest side (hypotenuse) is opposite the right angleAs Vertex A has the co-ordinates (0, √3), the side opposite the 60° angle is √3 units.
Using the ratios to find b (shortest side length):
b√3 = √3 ⇒ b = 1
As the altitude divides BC into two equal line segments, and the length of the shortest side of the right triangles is 1 unit, the coordinates of B are C are:
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Calculate the area of triangle OPQ.
Thus, we need information about the sides OQ and PQ to solve the triangle and find the area. The information given is not enough to determine the area of the triangle.
Is this triangle solvable?
In this question we must analyze if the area of the triangle OPQ can be found by all information given. By the law of the cosines we understand that lengths of two sides and the measure of an angle should be known to construct a triangle and by the law of the sines we understand that either two angles and a side or two sides and an angle must be known.
Thus, we need information about the sides OQ and PQ to solve the triangle and find the area. The information given is not enough to determine the area of the triangle.
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A suitcase measures 24 inches long and the diagonal is 30 inches long. What is the area of material that is needed to cover one side of the suitcase
Answer:
706.858347
Step-by-step explanation:
An architect's sketch of plans for the front of a garage in the shape of pentagon is shown below. What is the approximate perimeter of the
front of the garage?
-8
-6 -4 -2
A. about 36 ft
B. about 21 ft
C. about 10 ft
D. about 77 ft
Using it's concept, it is found that the approximate perimeter of the front of the garage is:
A. about 36 ft.
What is the perimeter of a figure?The perimeter of a figure is given by the total length of it's boundary.
In this problem, we have that:
The bottom boundary has length of 10 units.The two lateral boundaries have lengths of 7 units.There are two top boundaries, which are the hypotenuses of a right triangle with legs 3 and 5, hence:[tex]t = \sqrt{3^2 + 5^2} = 5.83[/tex]
Hence the perimeter of the figure is:
P = 10 + 2 x 7 + 2 x 5.83 = 35.66.
Rounding, it is of about 36 ft, hence option A is correct.
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What is the length of the hypotenuse of right ΔDEF shown? A) √5041 B) √2545 C) √497 D) √1063
The length of the hypotenuse of right triangle ΔDEF is 50.44 units
How to find hypotenuse of a right triangle?The hypotenuse side can be found using Pythagoras theorem,
Therefore,
c² = a² + b²
where
c = hypotenusea and b are the other legs.Therefore,
x² = 39² + 32²
x² = 1521 + 1024
x = √2545
x = 50.4479930225
x = 50.44
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The______is the set of inputs For a fraction
The set of all input values of a function is the domain of the function
What is a function?A function relates an input to an output.
A function defines a relationship between one variable (the independent variable) and another variable.
The set of all input values of a function is the domain of the function.
The domain of a function are also called independent variables.
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Eight years ago, Marilyn invested $1000 in a stock. The table shows the
value of the stock over time.
Year
0
1
2
3
4
5
6
7
8
Value
$1000
$1095
$1200
$1314
$1440
$1580
$1730
$1890
$2070
Which is closest to the rate of change modeled by the function?
Leaming Inc.
Helo 13
Answer: 1.095
Step-by-step explanation:
The function is increasing, so the rate of change must be greater than 1.
The mean annual income of certified welders is normally distributed with a mean of $50,000 and a population standard deviation of $2,000. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. The alternate hypothesis is that the mean is not $50,000. If the level of significance is 0.10, what is the decision rule
Using the p-value method, the decision rule is:
|z| < 1.645: do not reject the null hypothesis.|z| > 1.645: reject the null hypothesis.What is the relation between the p-value and the test hypothesis?Depends on if the p-value is less or more than the significance level:
If it is more, the null hypothesis is not rejected.If it is less, it is rejected.In this problem, we have a two-tailed test, as we are testing if the mean is different of a value. For a significance level of 0.1, the critical value of z(when a p-value of 0.1 is obtained) is of |z| = 1.645, hence the decision rule is:
|z| < 1.645: do not reject the null hypothesis.|z| > 1.645: reject the null hypothesis.More can be learned about p-values at https://brainly.com/question/13873630
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I need help with this math question
Answer:
D = 12
Step-by-step explanation:
Side ST is corresponding to side QT. 9" / 3" = 3
3 is the proportion between the two triangles.
Side PT is the corresponding side to side RT.
PT = 4" x 3 = 12"
Determine whether the stated conclusion is valid based on the given information. If not,
write invalid. In either case, explain your reasoning.
A. Given: If a point is the midpoint of a segment, then it divides the segment into two
congruent segments. R is the midpoint of QS
Conclusion: QR = RS.
Both the given statements are true. The figure is given below.
We need to determine whether the stated conclusion is valid based on the given information.
What is the midpoint of the line segment?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments. R is the midpoint of QS.
Conclusion: QR=RS.
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments. AB=BC
Conclusion: B divides AC into two congruent segments
Both the given statements are true. The figure is given below.
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In which year did Eugene, Oregon have the greatest difference between high and low temperatures in November?
A)November 2009
B)November 2010
C)November 2011
D)November 2008
The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
04
08
O 32
O 64
Answer:
The volume of the prism increased by a factor of 64.
Step-by-step explanation:
Given that the original prism and the increased prism are similar, we have that the scale factor is:
Area ∝ (length of side) x (length of side)
If the area increases by a factor of 16, each side increases by a scale factor of √16 = 4. Regarding the volume:
Volume ∝ (length of side) x (length of side) x (length of side)
Thus the increase factor for the volume, in this case, is 4 x 4 x 4 = 64.
A company earns a profit of $100 the first month it is in business. Every month after that, the company earns a profit that is 1.5 times the previous month's profit. What will the company's profit be in the fith month?
The company's profit in fifth month will be $506.25
Profit : The gain in an expenditure, that is when the return is higher than the original amount, then the gained extra amount is called profit.
Example : If someone sell a toy of $10 in $15, then he gained profit & his profit is $(15-10) = $5.
A company earns a profit of $100 the first month it is in business.
Every month after that, the company earns a profit that is 1.5 times the previous month's profit.
In 1st Month,
Profit = $100
In 2nd Month,
Profit = 1.5 times of profit of 1st month
= 1.5 × $100
= $150
In 3rd Month,
Profit = 1.5 times of the profit of 2nd month
= 1.5 × $150
= $225
In 4th Month,
Profit = 1.5 times of the profit of 3rd month
= 1.5 × $225
= $337.5
In 5th Month,
Profit = 1.5 times of the profit of 4th month
= 1.5 × $337.5
= $506.25
So, the profit of 5th month = $506.25
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