Answer:
b
Step-by-step explanation:
BCCCCCC
I just need to know how much you will pay in postage:)WILL GIVE BRAINLY HALP
Classify the number −25.
Answer:
integer
Step-by-step explanation:
..................
the federal communications commission is attempting to locate an illegal radio station. it sets up two monitoring stations, a and b, with station b 40 miles east of station a. station a measures the illegal signal from the radio station as coming from a direction of 48- east of north. station b measures the signal as coming from a point 34- west of north. how far is the illegal radio station from monitoring stations a and b? round to the nearest tenth of a mile.
The illegal radio station from monitoring stations A and B is 33.49 miles and 27.03 miles respectively.
As the graph triangle shows
∠CAB = 90° - 48° = 42°
∠CBA = 90° - 34° = 56°
So ∠ACB = 180° - ∠CAB - ∠CBA
= 180° - 42° - 56°
= 82°
AC/ sin ∠CBA = BC/ sin ∠CAB = AB/ sin ∠ACB
AC = AB sin ∠CBA / sin ∠ACB
= 40 × sin 56°/ sin 82°
= 33.49 miles
A mile is defined as the unit of length, which is exactly equal to 5280 feet, or 1760 yards, and standardized as exactly 1609.344 meters by the International agreement in 1959.
BC = AB sin ∠CAB /sin ∠ACB
= 40 × sin 42°/ sin 82°
= 27.03 miles
The illegal radio station from monitoring stations A and B is 33.49 miles and 27.03 miles respectively.
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If a= -3 what is the value of 3a^2
Answer:
a = -3
Substitute...
3 (-3)^2
3 • (-3)(-3)
3 • 9 = 27
Determine which of the following statements is true concerning the values described in column #1 and column #2.
Column #1
Column #2
The x-coordinate of the vertex of the equation The x-coordinate of the vertex of the equation y=2x²-4x+12
y=4x²+8x+3
The value found in column #1 is greater than the value found in column #2
The value found in column #1 is less than the value found in column #2.
The value found in column #1 is equivalent to the value found in column #2.
The relationship between column #1 and column #2 cannot be determined by the information given.
The value of the vertex for the x-coordinate is less in column 1 as compared to the value of the vertex of x -the coordinate for column 2.
What are the coordinates and vertex of an equation?
When a graph crosses its symmetry axes, the vertex formula in mathematics may be used to get the vertex coordinate of a parabola. The vertex point is often represented by (h, k). We are aware that a parabola's conventional equation is y=a\(x^{2}\)+bx+c. The vertex in this case should be near the base of the U-shaped curve if the coefficient \(x^{2}\) is positive. The apex of the U-shaped curve should be at the top of the coefficient \(x^{2}\) is negative.
In the given question, It is given:
The two equations are:
\(y=2x^{2}-4x+12\)
and,
\(y=4x^{2}+8x+3\)
We have to find the vertex of the x-coordinate.
So, for the equation: \(y=2x^{2}-4x+12\)
In Column 1:
\(\begin{aligned}y &=-2 x^2-4 x+12 \\&=-2\left(x^2+2 x-6\right) \\&=-2\left((x+1)^2-7\right)\end{aligned}\)
So, By comparing the equation, we can say that the x-coordinate of the vertex in the column is -1.
So, for the equation:\(y=4x^{2}+8x+3\)
In Column 2:
\(\begin{aligned}y &=x^2-4 x+3 \\&=(x-2)^2+(-1)\end{aligned}\)
So, By comparing the equation, we can say that the x-coordinate of the vertex in the column is 2.
So, Option b is correct.
Hence, The value of the vertex for the x-coordinate is less in column 1 as compared to the value of the vertex of x -coordinate for column 2.
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At Grab & Go Grocery, you can buy 4 yogurt cups for $5. If the unit price stays the same, how much would it cost to buy 10 yogurt cups?
Answer:
12.50
Step-by-step explanation:
Each yogurt is $1.25. 1.25 x 4 = 5. so 1.25 x 10 = 12.50.
THE PHOTO FOR THE QUESTION IS BELOW PLEASE HELP ME ASAP
Answer:
it is +.025
Step-by-step explanation:
Which expression is a possible leading term for the polynomial function graphed below?
–18x14
–10x7
17x12
22x9
Answer:
22x^9
Step-by-step explanation:
Note that this graph begins in Quadrant III and continues in Quadrant I. This is also the behavior of the odd function y = x^3. Thus, we can immediately eliminate the possibilities -18x^14 and 17x^12. The correct answer choice is 22x^9, as this, as y = x^3, has a positive coefficient and the same shape as the given graphed function for "large" values of positive or negative x.
The leading term for the polynomial function graphed in the question is 22\(x^{9}\) which is option D).
What is polynomial function?A polynomial function is like another functions that has positive integers. It may be cubic polynomial, quadratic polynomial, etc.
How to make graph of function?If we observe the graph carefully then we can find that the graph comes from third quadrant then it enters in second quadrant and then it enters in the first quadrant. This is the nature of a graph of f(x)=\(x^{3}\) and in the given options we can only write \(22x^{9}\) as 22\(22x^{3} *^{3}\). So the leading term may be 22\(x^{9}\).
Hence the leading term of the function graphed is 22\(x^{9}\).
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I want to come closer to god, and he said don't confess by mouth but by heart, how do I do this
Segment AB measures 3 cm. Point O is the center of dilation. How long is the image of AB after a dilation with . . .
Use decimal notation if necessary.
a. scale factor 5?
Answer:
The image of AB will be 15 cm long after dilation by a scale factor of 5.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentRule to calculate the mage of the segment AB after dilation of the segment AB by a scale factor 5 centered at the origin
AB = length → A'B' = 5(length)
It means the length of the image of the segment AB can be determined by multiplying the length of the original segment AB by 5.
so
AB = 3 cm
Thus, the length of image A'B' will be:
A'B' = 5(3) = 15 cm
Therefore, the image of AB will be 15 cm long after dilation by a scale factor of 5.
Jack chooses two numbers between 50 and 150
The two numbers have a Lowest Common Multiple (LCM) of 420
They have a Highest Common Factor (HCF) of 28
Work out what the two numbers are.
Answer:
84 and 140
Step-by-step explanation:
Jack chooses two numbers between 50 and 150
The two numbers have a Lowest Common Multiple (LCM) of 420
Factors of 420 between 50 to 150
= 60, 70, 84, 105, 140
We are also told that:
They have a Highest Common Factor (HCF) of 28
Hence, we find out of the factors above, which numbers can be divided by 28 without having any remainder.
60/28 = 2.1428571429
70/28 = 2.5
84/28 = 3
105/28 = 3.75
140/28 = 5
Therefore, the two numbers are
84 and 140
What is the volume of a hemisphere with a diameter of 7.1 ft, rounded to the nearest tenth of a cubic foot?
Answer:
7 feet i think? i may be wrong tho
Step-by-step explanation:
Jeica i looking for a nice place to order flower for her party. Square Root Flower charge $40 for labor and $10 per bouquet of flower. Beautiful Flower charge $80 for labor and $5 per bouquet of flower. How many bouquet would need to be ordered to cot the SAME price at either hop? And how much doe it cot?
To cost the same at either flower shop, you would need to order 8 bouquets. The total cost would be $120.
Let the number of bouquets needed is represented by 'x'.
For Square Root Flower:
Cost of labor = $40
Cost per bouquet = $10
Total cost at Square Root Flower = Cost of labor + (Cost per bouquet × Number of bouquets)
= $40 + ($10 × x)
= $40 + $10x
For Beautiful Flower:
Cost of labor = $80
Cost per bouquet = $5
Total cost at Beautiful Flower = Cost of labor + (Cost per bouquet × Number of bouquets)
= $80 + ($5×x)
= $80 + $5x
To find the number of bouquets needed to cost the same at either flower shop, we set the total costs equal to each other and solve for 'x':
$40 + $10x = $80 + $5x
Simplifying the equation:
$10x - $5x = $80 - $40
$5x = $40
x = $40 / $5
x = 8
Therefore, to cost the same at either flower shop, 8 bouquets would need to be ordered.
To find the total cost, we can substitute the value of 'x' into either equation.
Let's use the equation for Square Root Flower:
Total cost at Square Root Flower = $40 + ($10 × 8)
= $40 + $80
= $120
So, it would cost $120 to order 8 bouquets at either flower shop.
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6. How many times larger is the first number in the pair than the second? a. 34 is times larger than 3³. times larger than 5². times larger than 78. times larger than 17. times larger than 5*. b. 5³ is_____ c. 710 is d. 176 is e. 5 1⁰ is
3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3
This means that 3⁴ is 3 times larger than 3³.
5³ is 5 times larger than 5².
5³ / 5² = (5 × 5 × 5) / (5× 5) = 5
7¹⁰ is 49 times larger than 7⁸.
7¹⁰/ 7⁸ = 7² =49
17⁶ is 289 times larger than 17⁴.
17⁶ /17⁴ = 289
Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
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What is the function of rational root theorem?
A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.
A polynomial expression is given and after solving them we get the two values known as the roots of the function.
These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .
We should use the rational root theorem only when the value of coefficients are small.
The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,
p is an integer factor of the constant term a0, and
q is an integer factor of the leading coefficient an.
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An SRS of 20 orangutans is selected, and 65 cc of blood is to be drawn from each orangutan using a 100 cc syringe. In the sample, the mean volume is 64 cc and the standard deviation is 12 cc. Assume that in the population of all such procedures, the amount of blood drawn follows a Normal distribution with mean ?.
Reference: Ref 17-1
We are interested in a 95% confidence interval for the population mean volume. The margin of error associated with the confidence interval is
Answer
A. 4.64.
B. 2.68.
C. 6.84.
D. 5.62.
The margin of error associated with the 95% confidence interval for the population mean volume is: D. 5.62.
To calculate the 95% confidence interval for the population mean volume, we can use the formula:
CI = x ± (t * (s/√n))
Where CI represents the confidence interval, x is the sample mean, t is the t-score associated with the desired confidence level (95%), s is the sample standard deviation, and n is the sample size.
In this case, x = 64 cc, s = 12 cc, and n = 20 orangutans. We need to find the t-score for a 95% confidence interval with 19 degrees of freedom (n-1). Using a t-table, we find that the t-score is approximately 2.093.
Now we can calculate the margin of error:
Margin of Error = t * (s/√n) = 2.093 * (12/√20) ≈ 5.62
Therefore, the margin of error associated with the 95% confidence interval for the population mean volume is: D. 5.62.
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Jacob bought 7 t-shirts for $32.90. Gwen bought 12 t-shirts for $60. Their friend Lia found a store online where she can buy a package of 8 t-shirts. These shirts sell at the same rate as the shirts Jacob bought. How much does Lia pay for the package of 8 t-shirts?
Answer:
$37.60
Step-by-step explanation:
If 7 shirts = 32.90 then (32.90/7) x 8 = 37.60
8. The table represents some points on the graph of a linear function.
What is the rate of change of y with respect to x for this function
1+3-2+0=2
-3-2+1+2=-2
Answer:
d.-½ ,represent change of y with respect to x
Step-by-step explanation:
The values of y with respect to x are :-
-3-⅔-½ and,0Thus, -½ in the value of the change in y with respect to x.
A well-mixed open tank initially contains 100100 L of water with a salt concentration of 0.10.1 kg/L. Salt water enters the tank at a rate of 55 L/h with a salt concentration of 0.20.2 kg/L. An open valve allows water to leave at 44 L/h and at the same time water evaporates from the tank at 11 L/h.
Required:
a. Determine the amount and concentration of salt at any time (that is, as a function of time
b. What is the limiting concentration?
According to the question For ( a ) the amount and concentration of salt at any time \(\(t\)\) can be \(\[S(t) = 10 + 11 - 44 \times C(t) \text{ kg}\]\)\(\[C(t) = \frac{S(t)}{100}\text{ kg/L}\]\) . For ( b ) the limiting concentration of salt in the tank is 0.25 kg/L.
To determine the amount and concentration of salt at any time in the tank, we need to consider the inflow of saltwater, outflow of water, and evaporation. Let's denote the time as \(\(t\)\) in hours.
a. Amount and Concentration of Salt at any time:
Let's denote the amount of salt in the tank at time \(\(t\) as \(S(t)\)\) in kg and the concentration of salt in the tank at time \(\(t\) as \(C(t)\) in kg/L.\)
Initially, the tank contains 100 L of water with a salt concentration of 0.1 kg/L. Therefore, at \(\(t = 0\)\), we have:
\(\[S(0) = 100 \times 0.1 = 10 \text{ kg}\]\)
\(\[C(0) = 0.1 \text{ kg/L}\]\)
Considering the inflow, outflow, and evaporation rates, the amount of salt in the tank at any time \(\(t\)\) can be calculated as:
\(\[S(t) = S(0) + \text{Inflow} - \text{Outflow} - \text{Evaporation}\]\)
The inflow rate of saltwater is 55 L/h with a concentration of 0.2 kg/L. Thus, the amount of salt entering the tank per hour is:
\(\[\text{Inflow} = \text{Inflow rate} \times \text{Concentration} = 55 \times 0.2 = 11 \text{ kg/h}\]\)
The outflow rate is 44 L/h, so the amount of salt leaving the tank per hour is:
\(\[\text{Outflow} = \text{Outflow rate} \times C(t) = 44 \times C(t) \text{ kg/h}\]\)
The evaporation rate is 11 L/h, and as only water evaporates, it does not affect the salt concentration in the tank.
Therefore, the amount and concentration of salt at any time \(\(t\)\) can be expressed as follows:
\(\[S(t) = 10 + 11 - 44 \times C(t) \text{ kg}\]\)
\(\[C(t) = \frac{S(t)}{100}\text{ kg/L}\]\)
b. Limiting Concentration:
The limiting concentration refers to the concentration reached when the inflow and outflow rates balance each other, resulting in a stable concentration. In this case, the inflow rate of saltwater is 55 L/h with a concentration of 0.2 kg/L, and the outflow rate is 44 L/h. To find the limiting concentration, we equate the inflow and outflow rates:
\(\[\text{Inflow rate} \times \text{Concentration} = \text{Outflow rate} \times C_{\text{limiting}}\]\)
\(\[55 \times 0.2 = 44 \times C_{\text{limiting}}\]\)
\(\[C_{\text{limiting}} = \frac{55 \times 0.2}{44} = 0.25 \text{ kg/L}\]\)
Therefore, the limiting concentration of salt in the tank is 0.25 kg/L.
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can somebody help me with these three problems? i'm having a bit of trouble getting the right answer and i don’t really understand what i am doing.
Explanation/Answer:
To convert, we need a common denominator.
So if, say, we multiply the denominator by 2, we must multiply the numerator by 2 as well.
1) 4/5+4/7
4x7/5x7 + 4x5/7x5
28/35+20/35
(Both have common denominators so we can add them)
28 +20/35= 48/35=1 13/35
2) 1/2+11/8
(We already have common denominator in one of the numbers so we only have to convert ONE of the fractions)
1x4/2x4+11/8
4/8+11/8=15/8= 1 7/8
3) 1/5+1/3
1x3/5x3+1x5/3x5
3/15+5/15=8/15
Hope this helped :D
Answer:
1. 48/35
2. 15/8
3. 8/15
Step-by-step explanation:
You have to make sure the denominator is the same before combining both fractions. Whatever you multiply by the denominator, you need to do to the numerator.
Rose is ordering a submarine sandwich from the comer del The del charges $6.25 for a 7-inch sub Additional toppings cost extra. Rosa's sandwich
two extra loppings costs $7.75. What is the cost per additional topping?
per topping
3. A demand loan of $10,000 is repaid by payments of $5000 in one year, $6000 in four years, and a final payment in six years. Interest on the loan is at 10% per annum compounded quarterly during the first year, 8% per annum compounded semi-annually for the next three years and 7.5% per annum compounded annually for the remaining years. Determine the final payment.A demand loan of $5000.00 is repaid by payments of $2500.00 after two years, $2500.00 after four years, and a final payment after six years. Interest is 9% compounded quarterly for the first two years, 10% compounded monthly for the next two years, and 10% compounded annually thereafter. What is the size of the final payment? The final payment is 5 (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)
For the first loan, the final payment is $1,576.25. For the second loan, the final payment is $0. The calculations consider the given interest rates and compounding periods.
To determine the final payment for the first loan, we need to calculate the accumulated value of the loan after six years. For the first year, interest is compounded quarterly at a rate of 10% per annum. The accumulated value after one year is $10,000 * (1 + 0.10/4)^(4*1) = $10,000 * (1 + 0.025)^4 = $10,000 * 1.1038125.For the next three years, interest is compounded semi-annually at a rate of 8% per annum. The accumulated value after four years is $10,000 * (1 + 0.08/2)^(2*4) = $10,000 * (1 + 0.04)^8 = $10,000 * 1.3604877.
Finally, for the remaining two years, interest is compounded annually at a rate of 7.5% per annum. The accumulated value after six years is $10,000 * (1 + 0.075)^2 = $10,000 * 1.157625.To find the final payment, we subtract the payments made so far ($5,000 and $6,000) from the accumulated value after six years: $10,000 * 1.157625 - $5,000 - $6,000 = $1,576.25.For the second loan, we calculate the accumulated value after six years using the given interest rates and compounding periods for each period. The accumulated value after two years is $5,000 * (1 + 0.09/4)^(4*2) = $5,000 * (1 + 0.0225)^8 = $5,000 * 1.208646.
The accumulated value after four years is $5,000 * (1 + 0.10/12)^(12*2) = $5,000 * (1 + 0.0083333)^24 = $5,000 * 1.221494.Finally, the accumulated value after six years is $5,000 * (1 + 0.10)^2 = $5,000 * 1.21.To find the final payment, we subtract the payments made so far ($2,500 and $2,500) from the accumulated value after six years: $5,000 * 1.21 - $2,500 - $2,500 = $0.
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Use the drawing tool(s) to form the correct answer on the provided number line. Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and put the same amount of water in each cup. Find and graph the number of ounces of water, x, that Will could have put in each cup.
According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.
What is the number of ounces of water "x" that Will could have put in each cup?Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.
Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.
Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.
So, Will could have put 8 ounces of water in each cup.
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BRAINLIEST! As a dolphin swims along the side of a cruise ship, he jumps to a height of seven meters above the water surface and dives to a depth of seven meters below the surface. He does this in a regular motion (simple harmonic motion). A passenger starts a stopwatch just as the dolphin is coming up to the surface. The passenger determines that the dolphin completes one cycle every 6 seconds.
PLS! MARK ME AS A BRAILIEST......
what are the possible values of x for the diagram
Answer:
I think its 21 but iam not sure about the rest
7x - 5 = 2x - 15
5x + 2 = 4x - 1
3 - X = 4x + 13
16 - 2x = 5x + 9
3X + 5 = 2x + 7
Answer:
5x- 10
20x=5
3= 17x
25-10x
6x=12
Step-by-step explanation:
Please solve all the steps and I will mark brainiest and give 20 points
Solve the system by elimination.
3u+3v=15
−2u+3v=−5
Answer:
u=4, v=1, or as a point, (4, 1)
Step-by-step explanation:
Hi there!
We are given the following system:
3u + 3v = 15
-2u + 3v = -5
We are asked to solve this system by elimination, where we will add the two equations together to clear one of the variables, solve for the non-cleared variable, then substitute the value of the non-cleared variable to find the value of the variable that was originally cleared
Because we want to clear one of the variables, we need to make sure that the coefficients in front of the variable we want to clear are opposites; like -2 and 2
3v is in both equations, but it's both positive. So let's multiply one of the equations by -1 to change the sign of it
Taking the second equation for example,
-1(-2u + 3v = -5)
Multiply
2u - 3v = 5
Now stack up the equations again:
3u + 3v = 15
2u - 3v = 5
Add the equations together:
5u=20
Divide both sides by 5
u=4
Now substitute 4 as the value of u into one of the equations to solve for v
Using 3u + 3v =15 for example,
3(4)+3v=15
Multiply
12 + 3v=15
Subtract 12 from both sides
3v=3
Divide both sides by 3
v=1
The answer is u=4, v=1, or as a point, (4, 1)
Hope this helps!
Stacy paid $54 for 6 pizzas, which is a rate of $ ? per pizza.
Answer: it’s 9
Step-by-step explanation:
54 divined by 6 = 9
PLEASE HELP ME IM SO CONFUSED The volume of a cube is x³ cubic units. The surface area of the cube is x³ square units. What is the value of x?
Answer: The value of x is 6.
Step-by-step explanation:
TO find the volume of a cube you cube any side length. so if the side length is 6.
6^3 = 216
To find the surface area of a cube you will square one of the side lengths and multiply it by 6.
so the side length is 6 and 6 squared is 36
36*6 = 216
Jamie spent 1 ½ hours swimming in the pool on Monday. On Tuesday, she swam for 2 ¼ hours. How many hours did Jamie swim in all?
Answer:
3 3/4
Step-by-step explanation: