Answer:
ratio: 9 : 8 : 7total prize: #72Step-by-step explanation:
The given proportions are ...
S : F : A = 1 : 8/9 : 7/9
= 9 : 8 : 7
This is the proportion in which the prize was shared:
Sabina : Funke : Ajibola = 9 : 8 : 7
__
Multiplying by 3 gives ...
= 27 : 24 : 21 . . . . . . 27 was Sabina's share
Then the total amount was ...
27 +24 +21 = 72
-2(7-15)
What is the value of
?
4
O 4
0 -2
O 2
O 4
PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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What is the length of the unknown side?
16
12
A 14 units
B) 20 units
C 28 units
D) 200 units
Answer:
B)20 Units is the answer for it
Add and subtract the rational expressions. 9t-4/5t+(6t-1/5t-2t-3/5t)which statements are true check all that apply
Answer: A, B, and E in edginuity
Step-by-step explanation:
The first, second, and last one
-The expression is not defined when t=0
-The first step is to use the order of operations and simplify the expression inside the parentheses
-The numerator will be simplified to 13t-2
Answer: A, B, & E is correct on Edg!
Step-by-step explanation: Just got it right
Given −16.98(5.2), find the product.
−882.96
−88.296
−15.282
11.886
Answer: 882.96
Step-by-step explanation:
The product of -16.98 and 5.2 is -88.296.
The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:
-16.98 * 5.2 = -88.296.
Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.
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The Parker company employs 68 part time workers. If this represents 4% of the total work force, how many individuals work for the company?
Answer: ite will be 3 bc i done that all ready
Step-by-step explanation:
The number of individuals that work for the company is 272 workers.
Given,
The Parker company employs 68 part-time workers.
This represents 4% of the total workforce.
We need to find out how many individuals work for the company.
What is percentage?Percentage is a fraction or a ratio in which the value of whole is always 100.
Find the total workforce.
Total workforce = 100%
We have,
4% = 68 workers
Multiply 25 on both sides.
25 x 4% = 4 x 68 workers
100% = 272 workers.
This means the number of individuals that work for the company is 272 workers.
Thus the number of individuals that work for the company is 272 workers.
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please help me thank you
The answer is ...
Parallel
Answer:
Parallel
Step-by-step explanation:
Sana makatulong yung sagot ko# carry on your learning dipo ako masyadong matalino pero kaya ko po kayung tulungan sa lahat nang question
What is the value of 10×5 1/4×3 1/5
Step-by-step explanation:
Going L to right
10 x 5 1/4 = 52.5
then 52.5 *3 1/5 = 168 via calculator
OR
10 * 21/4 = 210 / 4
210/ 4 * 16/5 = (210 * 16) / ( 4*5) = 3360/20 = 168
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer
correct. If possible, reduce the final sum (PLEASE answer all 3 boxes)
Answer:
3/15, 10/15, 13/15
Step-by-step explanation:
We want 1/5 and 2/3 to share a common denominator.
1/5 has a denominator of 5, and 2/3 has a denominator of 3. They are both prime, so you can't have a smaller LCD than they multiplied, which is 15.
To make 1/5 into a denominator of 15, we multiply both the numerator and denominator by 3 (15 divided by 3) to make sure the fraction stays the same.
We get (1×3)/(5×3)=3/15
Apply this to 2/3, but instead of multiplying by 3, which gives you a denominator of nine, we multiply by 5 to make sure we get 15.
We get (2×5)/(3×5)=10/15
Now we see 3/15+10/15, using (numerator+numerator)/(denominator+denominator).
We get 13/15
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$24 lunch;15% tip.
I NEED HELP
Answer:
3.60
Step-by-step explanation:
The amount of tip will be $3.6.
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 restaurant bill for lunch is $24 and the tip given to the waiter is 15% of the total amount.
The total amount will be calculated as:-
Amount of tip = 24 x 15%
Amount of tip = 24 x 0.15
Amount of tip = $3.6
Hence, the tip amount will be $3.6
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Simplify
\((1.25 \times {10}^{ - 8} ) \times (8.35 \times {10}^{ - 5} )\)
simplify
Answer acsk
Step-by-step explanation:
1,2,3,4,5 what is probability that an even number will be chosen?
Answer:
Step-by-step explanation:
step 1
100%/the total number = percent for one probability
100/5 = 20%
2 and 4 is even.
total even number * percent for one probability = total percent for even number
20% * 2 = 40%
therefore total even number is 40%
The probability is:
2/5Step-by-step explanation:
Remember the formula for probability:
\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)
In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.
As for the total outcomes, there are 5 of them, because we have 5 numbers total.
So the probability of choosing an even number is 2/5.
Hospital waiting room times are normally distributed with a mean of 38.12 minutes and a standard deviation of 8.63 minutes. What is the shortest wait time that would still be in the worst 5% of wait times? Homework Help: 4VE. Determining values from normal distributions based on probabilities (Links to an external site.) (2:42) 4DC. Using normal distributions and probabilities to determine set values DOCX Group of answer choices 29.49 minutes 52.32 minutes 23.92 minutes 46.75 minutes
Answer:
Step-by-step explanation:
waiting times follow a normal distribution with
Mean, \mu=38.12Mean,μ=38.12
Standard\ deviation,\sigma=8.63Standard deviation,σ=8.63
Longer waiting times are worse than shorter waiting times. Hence the worst 20% of wait times are wait times on the right tail of the distribution. The inferred level of confidence is 0.80.
The z value corresponding to the right tail probability of 0.2 is
Z=0.85Z=0.85
But
Z = \frac{x-\mu}{\sigma}Z=
σ
x−μ
x =Z*\sigma +\mux=Z∗σ+μ
=0.85 * 8.63 +38.12 =45.4555=0.85∗8.63+38.12=45.4555
answer:
the shortest wait time that would still be in the worst 20% of wait times is 45.4555 minutes
\(\int\limits^5_1 {x^2+2x-tanx} \, dx\)
The definite integral for this problem has the result given as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)
How to solve the definite integral?The definite integral for this problem is defined as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx\)
We have an integral of the sum, hence we can integrate each term, and then add them.
For the first two terms, applying the power rule, the integrals are given as follows:
Integral of x² = x³/3.Integral of 2x = 2x²/2 = x².The integral of the tangent is given as follows:
ln|sec(x)|
Then the integral is given as follows:
I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.
Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:
I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)
I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 212 - ln|sec(5)| + ln|sec(1)|.
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Given the vector v has an initial point at (0, 0) and a terminal point at (-4, 6), find
the exact value of v.
Answer:
The calculated value of the exact value of v is <-4, 6>
Calculating the exact value of vTo find the exact value of v, we need to determine the components of the vector v.
The horizontal component of v, denoted as v_x, is equal to the change in x-coordinates between the initial and terminal points, which is -4 - 0 = -4.
The vertical component of v, denoted as v_y, is equal to the change in y-coordinates between the initial and terminal points, which is 6 - 0 = 6.
Therefore, the exact value of v is:
v = <v_x, v_y> = <-4, 6>
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An apple in a dessert contributes one-thirtieth the number of fat grams that the cup of cottage cheese contributes. If the total number of fat grams in the dessert is 4.03 g, how many fat grams are in the apple and how many are in the cup of cottage cheese?
The cottage cheese contains 3.9 g of fat and the apple has 0.13 g, making a total of 4.03 g of fat in the dessert.
what is proportionality ?Relationships that always have the same ratio are said to be proportional. For instance, the number of trees in an orchard and the number of apples in a harvest of apples are determined by the average number of apples per tree. A linear relationship between two numbers or variables is referred to as proportional in mathematics. When the first quantity doubles, the other number does as well. When one of the variables is reduced to 1/100th of its previous value, the other also decreases. If two quantities are proportional, it means that when one rises, the other rises as well, and the ratio between the two quantities remains constant throughout all values. The diameter and circumference of a circle serve as an example.
given
fat grams from the apple, where a
a +30a = 4.03g
31a/31 = 4.03 / 31
a = 0.13
The cottage cheese has 30(0.13) = 3.9 g fat, compared to the apple's 0.13 g.
The cottage cheese contains 3.9 g of fat and the apple has 0.13 g, making a total of 4.03 g of fat in the dessert.
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How can I solve this? Thank you in advance!!
One number is randomly selected from {1, 2, 3, 4, 5, 6, 7, 8, 9}. Find the probability that the selected number is an odd number or a multiple of 3.
Answer:
The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.
4.
Write an equation and solve it. Anything goes as long as you address the following points:
a. The equation must start with an 'x' variable in an exponent.
b. The equation must require logarithms to solve.
c. In the solution you must use the power rule, the product rule and the quotient rule at least once each.
d. Explain each step as you solve; which rules are you using and why?
e. What challenges did you face as you were writing your problem? Did you run into any dead ends?
My problem lies in finding an exponential equation \(N^x=N^x\) (N being any positive number) that needs all 3 rules to solve. I can come up with an equation that uses 2 of the rules but I'm stuck on adding the third. Any suggestions would be nice. Thanks
Step-by-step explanation:
hope you understand. :)
Select values of a and b for which x=−5 is a solution for the equation shown below. ax+16=b−3x a = b =
Answer:
b= 5 A=13
Step-by-step explanation:
For a = b = 1/6, the solution at x = -5 exists for the function given.
We have the following equation -
ax + 16 = b − 3x
We have to find values of a and b for which x = − 5 is a solution.
What do you mean by Solution of a function f(x) ?The solution of function f(x) is the value of x for which f(x) = 0.
According to question, we have -
ax + 16 = b − 3x
Put x = - 5
a x -5 + 16 = b - 3 x -5
-5a + 16 = b + 15
b + 5a = 1
for a = b, we get -
6a = 1
a = b = \(\frac{1}{6}\)
Hence, for a = b = 1/6, the solution at x = -5 exists for the function given.
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able
10. Find the rate of change in the table below.
Show all work.
Х
18
20
22
24
4.5
у
5
5.5
6
Answer:
1/4
Step-by-step explanation:
.5/2=.25=1/4
HELP!! ILL MARK BRRAINLIST
Answer:
I think answer is D but it could be wrong not sure
Which statement is false? Explain.
A. An equiangular polygon has all angles congruent.
B. A regular polygon is both equilateral and equiangular.
C. An equilateral polygon has all sides congruent.
D. A polygon is concave if no diagonal contains points outside the polygon.
Answer: D. A polygon is concave if no diagonal contains points outside the polygon.
Explanation:
Choice A is true since "equiangular" means "equal angles"
Choice B is true since all sides are congruent, and all angles are congruent for a regular polygon
Choice C is true. The term "lateral" means "side".
Choice D is false because a convex polygon is one where all possible line segments contained in the polygon do not spill outside the polygon. Put another way, if points A and B are in a convex polygon, then every point on line segment AB is also in the polygon. Concave polygons don't have this feature. It is possible to draw a line segment where it spills outside the concave polygon.
how do you divide 2.6 by 2.952
Answer:
how do you divide 2.6 by 2.952
Step-by-step explanation:
make x the subject of the formula in R = ax-p/q+bx
R = (ax - p)/(q + bx)
(ax - p) = R(q + bx)
ax - p = Rq + Rbx
ax - Rbx = Rq + p
x(a - Rb) = Rq + p
x = (Rq + p)/(a - Rb)
185.30 divided by 357.25
Answer:
0.52014035087
Step-by-step explanation:
Answer:
0.51868439468
Step-by-step explanation:
A student ran a distance of 3 1/2miles each day for 5 days. Then the student ran a distance of 4 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
Answer:
To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.
Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles
Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles
Total distance = Distance for the first 5 days + Distance for the next 5 days
Total distance = 17.5 miles + 21.25 miles
Total distance = 38.75 miles
Therefore, the student ran a total of 38.75 miles during these 10 days.
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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9 ft
4.7 ft
6.5 ft
6.5 ft
Find the area of the triangle.
Answer: 21.15 ft²
Step-by-step explanation:
We can use the formula for the area of a triangle:
(b×h)/2
In this case, the base is 9 and the height is 4.7.
So, we substitute the variables with the numbers in this problem.
(9 × 4.7)/2
9 × 4.7 = 42.3
42.3/2 = 21.15
So, our final answer is 21.15 ft²
Which pair of functions are inverses of each other?
Answer:
D
Step-by-step explanation:
f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →
g(x) = (x + 5)/10
One apple is divided between 8 kids. How much of an apple did each kid receive? put the decimal answer
Answer: 0.125
Step-by-step explanation:
1/8 = 0.125 in decimal form