Answer:
F=
5
9
×C+32
Given C = 40
F=\frac{9}{5}\times40+32=9\times8=32F=
5
9
×40+32=9×8=32
F = 104
Step-by-step explanation:
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Will the following side lengths form a right triangle? 14, 21, 25
Answer:
They will not.
Step-by-step explanation:
\( {14}^{2} + {21}^{2} = 196 + 441 = 637\)
\( {25}^{2} = 625\)
Solve the proportion.
w 100
88
3
a.
1
b. 9
A
B
C. 8
d.
Please select the best answer from the choices provided
OD
000
C. 8
8/3 = g/3
, x3 both side
8/3 x 3 = g
8/3 x 3/1 = g
24/ 3 = g
8 = g
Hope this helps!
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36
We know that, the standard form of equation of a circle is expressed as:
(x-a)^2 + (y-b)^2 = b=r^2
where;
(a, b) is the center of the circle
r is the radius of the circle
From given information,
diameter = 12 units
radius = 12/2
= 6 units
It is given that, the center lies on the y-axis, the center will be at (0, 3)
Substituting above values in the formula,
(x-0)^2 + (y-3)^2 = 6^2
x²+ (y-3)² = 36
Therefore, an equation that represent circle that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y - 3)² = 36
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HELP??????????????????????????!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: A best friend listens to you. ... It doesn't matter how many times you've said the same asinine thing – a true best friend never tires of hearing your ridiculous stories. Your best friend is one who listens to your work gossip, even if he or she doesn't understand it.
Step-by-step explanation:
How many minutes does it take for the goose to fly 1 mile if it takes 6 minutes to fly 18 miles
Answer:
1/3 minutes
Step-by-step explanation:
We can write a ratio to solve
6 minutes x minutes
---------------- = ------------------
18 miles 1 mile
Using cross products
6 * 1 = 18 x
6 = 18x
Divide each side by 18
6/18 = 18x/18
1/3 = x
1/3 minutes
what is 3(-3)- 4 + 2 • -6 using PEMDAS?
a:-4
b:-36
c:5
Answer:
-25
Step-by-step explanation:
3(-3) - 4 + 2(-6)
-9 - 4 + 2(-6)
-9 - 4 - 12
-25
Need help with this math question, question number 9 please
ANSWER
\(\text{ The quotient of the division is 2x}^2\text{ - 2x}\)EXPLANATION
Given that;
\(\text{ }\frac{\text{ 2x}^4\text{ + 2x}^2\text{ - x + 3 }}{x^2\text{ - x}}\)How do you compare exponential functions?
Answer:
In exponentials, the base is any positive constant not = 1, and the power is the variable x (any real number), or a function of x. So as x increases, a^x is raised to higher and higher powers of a. To compare, say, 2^x and x^2; in x^2, as x increases to x+1, y increases to x^2+2x+1.
hope it helps :)
PLEASE HELP ASAP!! (Please do this if ur good at Scientific Notation) please tell me which 4 should I put in the box! (Click picture) ‼️‼️
Answer:
1st one is 6.9 X 10^6
2nd one is 2 x 10^5
Step-by-step explanation:
What is the measure of ∠1 ?
Thus, the measure of ∠1 = 60° fr the given set of complementary angles.
Explain about the complementary angles:Two angles are said to be complementary if they total up to exactly 90 degrees. The two angles may be a component of two different or identical figures.
Angles that are complementary need not be neighbouring or facing the same way. Any two angles are considered complimentary if their sum is exactly 90 degrees.Despite being 90 degrees, a right angle cannot be referred to as complimentary because it does not occur in pairs. There is just one complete angle. Complementary angles cannot also refer to groups of three or more angles which sum is 90 degrees.given data:
∠2 = 30°∠1 is the complement of ∠2For the set of complementary angles:
∠2 + ∠1 = 90°
∠1 + 30° = 90°
∠1 = 90° - 30°
∠1 = 60°
Thus, the measure of ∠1 = 60° fr the given set of complementary angles.
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Complete Question:
The ∠2 measures 30°. ∠1 is the compliment of ∠2. What is the measure of ∠1 ?
Please help me ASAP………
The simplified expression is given as follows:
7/x³.
Where the coefficients are:
c = 7.e = 3.How to simplify the expression?The expression in this problem is defined as follows:
x³(1/4 x³)(28x^-9).
To obtain the coefficient c, we must multiply the coefficients of each expression, as follows:
c = 1 x 1/4 x 28
c = 7.
When two terms with the same base and different exponents are multiplied, we keep the bases and add the exponents, hence:
3 + 3 - 9 = -3.
The negative exponents goes in the denominator, hence the simplified expression is given as follows:
7/x³.
Meaning that the exponent is of e = 3.
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In the diagram, Find the value of w
Answer:
-13
Step-by-step explanation:
the angle of ACD is 180-72 = 108 degrees.
simply because every side of a line represents 180 degrees of turning potential (to flip something around on a flat ground is a 180 degree turn). and we know 72 degrees are already "taken" at the other side of the angle.
BC bisects the angle. that means it divided the angle into 2 equal parts.
so the angle between BC and k is 108/2 = 54 degrees.
because j is parallel to k, this angle is the same as the angle between BC and j.
so,
54 = 2w + 80
-26 = 2w
w = -13
(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
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A coffee place is selling coffees for $2.50 each and cappuccinos for $3.75 each.
Today the coffee place sold a total of 70 drinks (coffees and cappuccinos) for a total of $222.50.
a) Write an equation that represents the information.
b) Solve the equation in (a) to find how many coffees and how many cappuccinos the coffee place sold today.
Answer:
Step-by-step explanation:
a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.
The equation that represents the given information is:
2.50x + 3.75y = 222.50
b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.
Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.
Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):
2.50(40) + 3.75y = 222.50
100 + 3.75y = 222.50
3.75y = 222.50 - 100
3.75y = 122.50
y = 122.50 / 3.75
y ≈ 32.67
In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.
We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.
Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.
what is value of X on this triangle
Answer:
x = 11.4715
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 35°
Opposite Leg = x
Hypotenuse = 20
Step 2: Solve for x
Substitute [Sine]: sin35° = x/20Isolate x: 20sin35° = xRewrite: x = 20sin35°Evaluate: x = 11.4715En uno de los corrales de la granja de mi abuela hay gallinas y conejos. Aún cuando todos se mueven, logré contar 40 cabezas y 106 patas.
a) Explica cuáles son las incógnitas del problema.
b) Escribe una ecuación que represente el número de animales que hay en el corral.
c) Escribe una ecuación que represente el número total de patas.
d) ¿cuántos conejos y cuántas gallinas hay en el corral?
There are 27 chickens and 13 Rabbits in the pen on your grandmother's farm, based on the given information of 40 heads and 106 legs.
a) The unknowns in the problem are the number of chickens and rabbits in the pen. We don't know the exact quantities of each animal, which is what we need to determine.
b) Let's denote the number of chickens as "C" and the number of rabbits as "R." To represent the total number of animals in the pen, we can write the equation: C + R = total number of animals.
c) The total number of legs can be represented by the equation: 2C + 4R = total number of legs. This equation accounts for the fact that chickens have two legs, while rabbits have four.
d) To find the solution, we can use the given information: 40 heads and 106 legs. Since each animal has one head, the total number of animals is equal to the total number of heads, which is 40.
Using the equation C + R = 40, we can solve for one variable in terms of the other. For example, if we solve for C, we get C = 40 - R.
Substituting this value of C into the equation 2C + 4R = 106, we can solve for R:
2(40 - R) + 4R = 106
80 - 2R + 4R = 106
2R = 26
R = 13
Therefore, there are 13 rabbits in the pen.
To find the number of chickens, we can substitute the value of R into the equation C = 40 - R:
C = 40 - 13
C = 27
Hence, there are 27 chickens in the pen.
In conclusion, there are 27 chickens and 13 rabbits in the pen on your grandmother's farm, based on the given information of 40 heads and 106 legs.
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10 Kofi scored 45% in the first paper of his mathematics examination and scored x% in the second paper (where x is a whole number). He was given a grade C for the subject, which meant that the average of his marks on the two papers was greater than 48% but less than 52%. Find the possible values of x. [WAEC]
The possible values of x are 51% < x < 59%.
When you are given various values, the range of those values is how big the difference is between the largest value and the smallest value. In other words, the range is what you get when you subtract the smallest value in the group from the largest value in the group.
Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has a probability of 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.
Let K represent Kofi
1st paper = 45/100
2nd paper = x / 100
Mean score = ( 45 + x ) % / 2
The possible range of x = 48% < (45+X)/2 < 52%
Cross multiplying
96% < 45 + x < 104%
Subtract 45 from both sides
Range = 51% < x < 59%
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Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Mark this and return
Answer:
(b) 3 units
Step-by-step explanation:
You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.
DilationThe dilation factor multiplies every length.
If OB is 3/4, then OB' is 4(3/4) = 3.
The length of OB' is 3 units.
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the capacity of a water tank is 1000 litres if 7/10 parts is emptied how many litres of water is left?
Answer:
700 liter
Step-by-step explanation:
because 1000 * 7/10 is 700
Find the slope and y-intercept (solve for y) -4y+2x= -20
Find the length of the segment with the endpoints (3,-8) and (5,-2).
20 PTS! Is the answer h=2.7?
Answer:
Yes your right
Step-by-step explanation:
Use the coordinate grid to determine the coordinates of point A:
Coordinate grid shown from negative 2 to positive 2 on x axis and negative 2 to positive 2 on y axis. There are increments of 1 over 4 for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis. A point A is shown at the intersection of the first grid line to the left of the y-axis and 7 grid lines above the x-axis. What are the coordinates of point A?
A ( fraction negative 1 over 4 , fraction 1 and 3 over 4 )
( B fraction negative 1 and 3 over 4 , fraction 1 over 4' )
C( fraction 1 over 4 , fraction negative 1 and 3 over 4 )
D ( fraction 1 and 3 over 4 , fraction negative 1 over 4 )
Answer:
Step-by-step explanation:it cant be A or B because its not negative so it has to be C or D and its not D because its not in the 3s its in the ones still it did not evean have a 3.
so the best answer i whould have to say C
plz give brainlynis
Answer:
This is the correction of the other person who answered the answer is D
Step-by-step explanation:
Consumer Price Index, 1970-2002
Year
1970
1975
1980
1985
1990
1995
2002
Source: World Almanac 2003
CPI
116.3
161.2
248.8
322.2
391.4
456.5
535.8
Describe how the CPI is related to the year.
As the year increases, the CPI decreases and then increases.
As the year increases, the CPI increases and then decreases.
As the year increases, the CPI decreases.
d. As the year increases, the CPI increases.
C.
a.
b.
The computation of the increased in salary is $500.
Here, we have,
Explanation:
Data provided in the question
Salary for the first year = $50,000
CPI increase during the year = 4%
Overstated inflation = 1% i.e. 5%
The computation of the increased in salary is shown below:
= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year
= $50,000 × 5% - $50,000 × 4%
= $2,500 - $2,000
= $500
Hence, The computation of the increased in salary is $500.
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complete question:
Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.
Find the value of x. If necessary round to the nearest tenth.
The value of x which is the dimension of the eternal part of the secant segment is 4.
What is the numerical value of x?The secant-tangent power theorem states that "if a tangent and a secant are drawn from a common external point to a circle, then the product of the length of the secant segment and its external part is equal to the square of the length of the tangent segment".
It is expressed as:
( tangent segment )² = External part of the secant segment × Secant segment.
From the diagram:
tangent segment = 6
External part of the secant segment = x
Secant segment = ( 5 + x )
Plug the given values into the above formula and solve for x.
( tangent segment )² = External part of the secant segment × Secant segment.
( 6 )² = x × ( x + 5 )
36 = x² + 5x
x² + 5x - 36 = 0
Using AC method:
( x - 4 )( x + 9 ) = 0
( x - 4 ) = 0 or ( x + 9 ) = 0
x = 4 or x = -9
Since we are dealing with dimensions, we take the positive value.
Hence:
x = 4
Therefore, the value of x is 4.
Option D) 4 is the correct answer.
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PLS HELP These tables represent a quadratics function
Answer:
A
Step-by-step explanation:
is moving by 2 but there negative numbers which makes it -2
Twenty four blood samples were selected by taking every seventh blood sample from racks holding 199 blood samples from the morning draw at a medical center ANSWER BOTH A AND B
a. FPCF for this sample is FPCF = √(199/24) = 2.89.
b. The population cannot be considered effectively infinite, so the answer is no.
What is FPCF?When the sample size is significant compared to the size of the community, the Finite Population Correction Factor, also known as the FPC factor, is applied. The population in most cases is so vast that typical sample sizes are insufficient to raise concerns about the need for the FPC.
The recommendation is to use the FPC when the sample size to population size ratio is higher than 5%. The FPCF must be used, for instance, if the population number is 300 and the sample size is 30, which results in a ratio of 10%.
a. To calculate the FPCF (finite population correction factor) for this sample, we can use the formula:
FPCF = √(N/n)
where N is the population size, and n is the sample size.
In this case, N = 199 (the number of blood samples in the racks), and n = 24 (the number of samples selected every seventh blood sample).
FPCF = √(199/24) = 2.89 (rounded to two decimal places)
b. To determine whether the population should be considered effectively infinite, we need to compare the sample size to the population size. A general rule of thumb is that the population can be considered effectively infinite if the sample size is less than 5-10% of the population size.
In this case, the sample size is 24, which is approximately 12% of the population size of 199. Therefore, the population cannot be considered effectively infinite, and the FPCF should be applied to adjust for the finite population size.
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18. 34 x 2
I need the answer I got a decimal
An account pays 6% compound interest. In year 1, the amount in the account is $70. How much is in the account in year 5?
Answer:
$91 is the answer.
Step-by-step explanation:
R = 6%
P = $70
T = 5 year
now
I = PTR/100
=(70×5×6)100
= 2100/100
= $21
So,
I = A-P
21 = A-70
21+70 = A
so, A = $91
If the scale factor is 4, what is the measurement of x?24 m4 m20 m16 m
Let:
\(\begin{gathered} 6k=x \\ \end{gathered}\)where:
k = scale factor
If the scale factor is 4, then:
\(\begin{gathered} 6(4)=x \\ 24=x \\ x=24 \end{gathered}\)