Answer:26
Step-by-step explanation:
20+2a=8+6a 8+18=26
-2a -2a
---------------------
20=8+4a
-8 -8
-------------------
12=4a
12/4=4a/4 a=3
Answer: 26 :))
Step-by-step explanation: 20 + 2a = 8 + 6a flip terms than subtract 20 from both sides, simplify to 2a = 6a - 12, subtract 6a from both sides, simply and CLT and you have -4a = -12, divide both sides by -4 and you have 3 = a so plug it in to the equation and you have 26 = YZ
BRAINLY FOR RIGHT ANSWER AND STEP BY STEP LOTS OF POINTS BTW
A car’s fuel economy E(miles per gallon) is given by the formula E=mg, where m is the number of miles driven and g is the number of gallons of fuel used.
Solve the formula for m.
If Sally’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive?
Answer:
60 miles
Step-by-step explanation:
HELP PLS ILL GIVE FREE BRAINLIST IF U HELP KE OUT
Answer:
5 5/9
Step-by-step explanation:
at top cruising speed, a mako shark can swim 4 kilometers in 1/10. a blue whale can swim 5 kilometers in 1/4 hour. which animal swims faster at top cruising speed? how much faster?
Answer:Blue whale
Step-by-step explanation:
The blue whale goes an extra kilometer faster
The Mako shark faster at top cruising speed and by 20km/h.
Given that,
The mamo shark should swim 4 km in one-fourth.While on the other hand, Blue whales should swim 5 km in one-fourth hour.Based on the above information, the calculation is as follows:
We know that
\(Speed = \frac{Distance}{Time}\)
For Mako shark,
\(= \frac{4}{\frac{1}{10} }\)
= 40 km/h
For Blue whales
\(= \frac{5}{\frac{1}{4} }\)
= 20 km/h
Based on the above calculations we can say that the Mako shark should be faster and by 20 km/h.
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uptown bank will lend you $22,200 at 6.9 percent, compounded monthly, to purchase a car. if you finance the car for 48 months, what will be the amount of each monthly payment?
a. $593.60
b. $549.08
c. $578.38
If the Uptown bank lends $22200 at 6.9% , then the amount of each monthly payment is (d) $530.57 .
The amount that Uptown bank will lend is = $22200 ,
the rate is = 6.9% ,since it is compounded monthly ,
So , monthly rate is = 6.9%/12 = 0.00575 ,
the time for which the car is financed is = 48 months ,
So , to calculate the monthly payment, we can use the formula:
⇒ P = (PV × r)/(1 - (1 + r)⁻ⁿ)
Where P is monthly payment, PV is present value of loan, r = monthly interest rate, and n = number of payments.
In this case, PV = $22200, r = 6.9%/12 = 0.00575 (monthly interest rate), and n = 48.
Substituting these values in monthly payment formula, we get:
⇒ P = (22200×0.00575)/(1 - (1 + 0.00575)⁻⁴⁸)
⇒ P ≈ $530.57
Therefore, the monthly payment will be approximately $530.57 . The correct answer is (d) $530.57 .
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The given question is incomplete , the complete question is
Uptown bank will lend you $22,200 at 6.9 percent, compounded monthly, to purchase a car. if you finance the car for 48 months, what will be the amount of each monthly payment?
(a) $593.60
(b) $549.08
(c) $578.38
(d) $530.57
What is the smallest of 3 consecutive positvie integers if the product of the smaller two integers is 8 less than 4 times the largest integer?
For f(x)=3x+1 and g(x)=x2-6,find (f⋅g)(x)
The required value of the given function is (f ⋅ g)(4) = 130.
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The functions are given in the question, as follows:
f(x)=3x+1 and g(x)=x²-6
(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).
(f ⋅ g)(x) = f(x) × g(x)
So, substituting x = 4:
(f ⋅ g)(4) = f(4) × g(4)
= (3 × 4 + 1)×(4² - 6)
= 13 × 10
= 130
So, (f ⋅ g)(4) = 130.
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tests for tuberculosis. Suppose that for the population of adults that is taking the test; 5% have tuberculosis The test correctly identifies 74.6% of the tlme adults with tuberculosis and correctly identifies those without tuberculosis 76.53% of the time: Suppose that POS stands for the test gives positive result and S means that the adult really has tuberculosis What is the probability of an adult getting NEG result and truly having tuberculosis? A.0.0373 B.0.0127 C.0.2230 D.0,7270
The probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
Let's use the following notation:
P(TB) represents the probability that an adult has tuberculosis, which is given as 0.05.
P(POS|TB) represents the probability that the test is positive given that an adult has tuberculosis, which is given as 0.746.
P(NEG|TB) represents the probability that the test is negative given that an adult has tuberculosis, which is 1 - P(POS|TB) = 0.254.
We are asked to find the probability of an adult getting a NEG result and truly having tuberculosis, which can be calculated using Bayes' theorem as follows:
P(TB|NEG) = P(NEG|TB) * P(TB) / P(NEG)
We can calculate P(NEG) using the law of total probability, which considers the two possible cases for an adult: having tuberculosis (TB) or not having tuberculosis (TB').
P(NEG) = P(NEG|TB) * P(TB) + P(NEG|TB') * P(TB')
= 0.254 * 0.05 + 0.7653 * 0.95
= 0.7352
Now we can substitute the values into Bayes' theorem:
P(TB|NEG) = 0.254 * 0.05 / 0.7352
= 0.01725
Therefore, the probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
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Which of the following is NOT a function and why?
{ (-4, -4), (-3, -3), (0, 0), (3, 3), (4, 4) }
{ (-4, -2), (-1, -1), (1, 3) (1, 4), (7, 10) }
how much volume in one grain of rice
A grain of rice contains about 0.029 milliliters of volume.
A grain of rice is a tiny, ingestible seed that comes from either Oryza sativa (Asian rice) or Oryza glaberrima, two types of grass (African rice). A single grain of rice is round or oval in shape and measures about 3–4 millimeters in length. A grain of rice has a volume of 0.029 milliliters and a mass of approximately 0.05 grams. The type of rice and the method of processing affect the size and form of a single grain of rice. Over half of the world's population relies heavily on rice as a source of nutrition and as a staple food in many different cultures. Sushi, risotto, rice pudding, and many more recipes all use rice as an ingredient.
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Olivia purchased a music system worth $18,000 in the year 2018. It loses its value
by 6% per year. What is the value of the music system in 2020?
a) $16920
b) $20224.80
c) $15904.48
d) $14950.51
Answer:
answer is c 15904.48
Step-by-step explanation:
y=a(l-r ) Y=18000(1 - .06) = 15904.48
Please help!!! Im very confused, giving brainleist
If represents the larger of two sample variances, can the f test statistic ever be less than 1?
No, the F-test statistic cannot be less than 1 when it represents the larger of two sample variances.
The F-distribution is always a positive distribution with a range of values greater than zero. The F-test value is always greater than or equal to 0, but it is not always less than or equal to 1.
The numerator, representing the bigger sample variance, is always greater than or equal to the denominator, representing the smaller sample variance. Consequently, the F-ratio, which is the ratio of the larger to the smaller variance, is always greater than or equal to 1. Thus, an F-test statistic that is less than 1 is mathematically incorrect.
Therefore, an F-test statistic is always a positive number that is greater than or equal to zero and greater than or equal to 1. This is because the numerator of an F-distribution is always greater than or equal to the denominator.
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Which statement about odd functions is correct?
A. They are symmetric over the x-axis.
B. They have rotational symmetry.
C. They are symmetric over the y-axis.
D. They are transformations of the parent function.
No one because odd functions are symmetric about the origin.
What is an odd function?It is a function such that f (x) =f (x) with the sign reversed but the absolute value unchanged if the independent variable's sign is reversed.
If f(x) Equals f(x) for every x, a function is odd. An odd function's graph will be symmetrical around the origin.
For instance, f(x) = x3 is an odd number. That is, the function on one side of the x-axis is sign inverted in relation to the function on the other side, or graphically, symmetric about the origin.
Therefore the odd functions are symmetric about the origin.
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Answer: B
Step-by-step explanation:
use the ratio test to determine whether the series is convergent or divergent. [infinity] n 7n n = 1 identify an.
To determine whether the series ∑(n=1 to infinity) 7n/n is convergent or divergent, we can apply the ratio test. The ratio test helps us determine the convergence or divergence of a series by examining the limit of the ratio of consecutive terms.
In this case, let's calculate the ratio of consecutive terms using the formula for the ratio test:
lim(n→∞) |(7(n+1)/(n+1))/((7n/n)|
Simplifying the expression, we get:
lim(n→∞) |7(n+1)/n|
As n approaches infinity, the limit evaluates to:
lim(n→∞) |7(n+1)/n| = 7
Since the limit is a finite positive value (7), which is less than 1, the ratio test tells us that the series is convergent.
However, you mentioned identifying an (term) in the series, and it seems there may be an incomplete part of the question. Please provide additional information or clarification about identifying an term in the series so that I can provide a more specific answer.
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In the given figure, mBJ = 106 and FHJH. Which statement is true?
F
H
G
Figure not drawn to scale
K
106°
OA.
The measure of ZG is 21", and triangle FGH is isosceles.
OB.
The measure of ZG is 56", and triangle FGH is isosceles.
O.C.
The measure of ZG is 21", and triangle FGH is not isosceles.
The measure of ZG is 56", and triangle FGH is not isosceles.
D.
The 106° measure of arc \(m\widehat{HJ}\) and the length of the chords \(\widehat{FH}\) and \(\widehat{JH}\), which are the same, indicates that m∠G = 21° and ΔFGH is not isosceles. The correct option is option C;
C. The measure of ∠G is 21°, and triangle FGH is not isosceles
What is an isosceles triangle?An isosceles triangle is a triangle that have two sides of the same length and two angles of the same measure.
According to the outside angle to a circle theorem, the measure of the outside angle ∠G formed by the secant GJ and the tangent GF is equal to the difference of the measures of the arcs \(m\widehat{F'KJ}\), and arc \(m\widehat{FH}\) divided by 2.
\(m\widehat{F'KJ}\) = 360° - \(m\widehat{FH}\) - \(m\widehat{HJ}\)
\(\widehat{FH}\) = \(\widehat{JH}\)
\(\widehat{FH}\) ≅ \(\widehat{JH}\)
The lengths of the chord intercepted by congruent arcs are congruent.
Therefore; \(\widehat{JH}\) ≅ \(\widehat{FH}\)
Which indicates;
\(m\widehat{JH}\) = 106° = \(m\widehat{FH}\)
\(m\widehat{F'KJ}\) = 360° - 106° - 106° = 148°
m∠G = (\(m\widehat{F'KJ}\) - \(m\widehat{FH}\)) ÷ 2
m∠G = (148° - 106°) ÷ 2 = 21°
m∠G = 21°\(m\widehat{F'KJ}\) = 148°
m∠FHJ = 148° ÷ 2 = 74° (Angle at the center is twice angle formed at the circumference)
∠FHJ = ∠HFG + ∠G (exterior angle to triangle ΔFGH)
∠HFG = ∠FHJ - ∠G
Therefore; m∠HFG = 74° - 21° = 53°
m∠HFG = 53°
m∠FHG = 180° - 74° = 106° (linear pair angles property)
m∠G ≠ m∠FHG ≠ m∠HFG, therefore, ΔFGH is not isoscelesThe correct option is option C.
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Emily has 6 pages of homework to do. If she can finish 3/8 a page in one
hour, how many hours will her homework take?
Answer:
16 hours
Step-by-step explanation:
To make it easier, we can put 3/8 as 37.5, and 6 as 600.
37.5 / 600 = 16
16 hours of homework.
round 128.599 to 3 decimal places
Answer:
PLEASE APPRECIATE IT
Step-by-step explanation:
129
The tutors aren't working :/
Can you please check if the one I checked is right, if not please explain.
Please and thank you(^∀^)
Answer: it’s the first one
Step-by-step explanation:
congruent means flipped but still the same
Answer:
Yes, the second one is correct!
Step-by-step explanation:
They are in order by the congruent angles, so you are correct.
sin 40 cos 50 + cos 40 sin 50 find the value
Answer:
= 1
Step-by-step explanation:
0.4131 + 0.5868 = 0.999 --> 1
What is 1/3÷9? hurry!
Exact Form:
1/27
Decimal Form:
0.037 (with a line over 037)
juan takes a number, adds $2$ to it, multiplies the answer by $2$, subtracts $2$ from the result, and finally divides that number by $2$. if his answer is $7$, what was the original number?
the original number Juan started with was 6.
Let "x" represent the original number. Juan first adds 2 to the original number, which can be expressed as (x + 2). He then multiplies this by 2, resulting in 2(x + 2). Next, he subtracts 2 from this product: 2(x + 2) - 2. Finally, he divides the resulting number by 2, giving us the equation [(2(x + 2) - 2) / 2] = 7.
Now, let's solve for the original number, x:
1. Simplify the equation by distributing the 2: [2x + 4 - 2] / 2 = 7
2. Combine the constants: (2x + 2) / 2 = 7
3. Multiply both sides by 2 to remove the denominator: 2x + 2 = 14
4. Subtract 2 from both sides: 2x = 12
5. Divide both sides by 2: x = 6
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Three different sets of objects contain 4, 5, and 12 objects, respectively. How
many unique combinations can be formed by picking one object from each
set?
A. 21
B. 240
C. 60
D. 48
Answer:
\(\text{B. }240}\)
Step-by-step explanation:
\(\binom{4}{1}\cdot\binom{5}{1}\cdot \binom{12}{1}=\boxed{\text{B. }240}}\)
(Multiplying each of the numbers also yields 240)
In Exercises, use Theorem 4.6 to find all values of k for which A is invertible.Consider the matrix given below:
The objective is to find the value of k such that the matrix is invertible.
To use Theorem 4.6 and find the values of k for which the matrix A is invertible, we first need to know the elements of the matrix A. Please provide the matrix so I can help you determine the values of k.
Theorem 4.6 states that a square matrix A is invertible if and only if its determinant is nonzero. Therefore, to find all values of k for which A is invertible, we need to find the determinant of the matrix and set it equal to zero.
Let A be the given matrix. We have:
det(A) = (k-2)(-1)(k-1) + (-1)(k-1)(2k-3) + (k-2)(2k-3)(k-1)
det(A) = -k^3 + 5k^2 - 5k + 3
Setting det(A) equal to zero and solving for k, we get:
-k^3 + 5k^2 - 5k + 3 = 0
Using synthetic division or factoring, we can find that k = 1 is a root of this equation. Dividing by (k-1), we get:
-(k^2 - 4k + 3) = 0
Factoring again, we get:
-(k-1)(k-3) = 0
Therefore, the values of k for which A is invertible are k = 1 and k = 3.
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Please explain in detail the utilization of Thematic Analysis in
a Qualitative Descriptive Study Design.
Thematic Analysis is a process that is used to analyze the text in research in qualitative research. It aims to find the patterns in the data by examining the contents of the text.
In the Qualitative Descriptive Study Design, thematic analysis is utilized to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data. It helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.
Thematic Analysis is used in Qualitative Descriptive Study Design to provide an in-depth understanding of the research topic. It allows the researcher to capture and analyze the rich and diverse experiences of the participants in the study. In this method, data is collected from the participants, and the researcher analyzes the data by identifying the common themes and patterns that emerge from the data. This process of analysis is done in a systematic and iterative manner until the researcher identifies all the themes that are relevant to the research question.
Thematic analysis is useful in qualitative research because it allows the researcher to identify the themes and patterns in the data that are not explicitly stated by the participants. It helps to identify the underlying meanings of the data and to develop a deeper understanding of the research topic. This method is particularly useful when the researcher is dealing with large volumes of data and wants to identify the key themes and patterns that emerge from the data.
In conclusion, Thematic Analysis is a useful method of analysis in Qualitative Descriptive Study Design. It is used to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data and helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.
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Two of the angles in a triangle measure 149° and 90. What is the measure of the third
angle?
Find the slope of the line shown on the graph to the right.
Answer:
slope=5/6
Step-by-step explanation:
m=y2-y1/x2-x1
3-(-2)=5
2-(-4)=6
5/6
hope this helps :3
if it did pls mark brainliest
Answer:
5/6
Step-by-step explanation:
The graph goes up 5 units and goes right 6 units.
Slope is rise/run. y2-y1
x2-x1
So 3 - (-2) that equals 5/6
2 - (-4)
*note that whichever y coordinate you start with is the same x coordinate you start with
Please mark brainliest!!! Thanks.
Helppp!!!!!!!!!!!!!!!!!!!!!
The value of x is equal to 15°
How to determine the value of x?In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.
Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.
By substituting the given parameters, we have the following:
3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.
3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.
23x + 15 = 360°.
23x = 360 - 15
23x = 345
x = 345/23
x = 15°.
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In the following table, the age (in years) of the respondents is given as the x value, and the earnings (in thousands of dollars) of the respondents are given as the y value. Use Excel to find the best fit linear regression equation in thousands of dollars. Round the slope and intercept to three decimal places.
The required equation based on the information given is y =0.433x + 24.493
How to illustrate the information?It should be noted that one can simply copy and paste the data set into excel sheet
Then, use intercept and the slope formula to find slope and intercept. We will have
slope = SLOPE(y values, x values)
= 0.433
intercept = INTERCEPT(y values, x values)
= 24.493
Therefore, the required equation is y =0.433x + 24.493
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ABC is an isosceles triangle with BA = BC
D lies on AC
ABD is an isosceles triangle with AB = AD
Angle ABD = 72°
Show that triangle BCD is isosceles.
You must give a reason for each stage of your working.
PLEASE HELP.. WHAT IS THE REASON??????
A property of an isosceles triangle, which is the base angles of the are equal, can be used to show that ΔBCD us an isosceles triangle.
What is isosceles triangle?There are two equal edges and two equivalent angles in an isosceles triangle. The Greek words iso (identical) and Skelos are the source of the name (leg). Equilateral triangles are those in which all of the sides are equal, whereas scalene triangles are those in which none of the sides are equal.
The characteristics of an isosceles triangle are as follows:
The two sides are similar to one another.The base of such an isosceles triangle signifies the third edge of the triangle, and that is unequal to the other two sides.In accord with one another are the two angles that face equal sides.Let assume,
∠DAB = ∠A,
∠DCB = ∠C,
∠ABC = ∠B
The steps to show that ΔABD is an isosceles triangle are as follows;
∠ABD = 72° = ∠ADB :- Base angles of the isosceles triangle ΔABD
∠A + ∠ABD + ∠ADB = 180° (angle summation property)
∠A = 180° - (∠ABD + ∠ADB) = 180° - (72° + 72°) = 36°
∠A = ∠C :- Base angles of the isosceles triangle ΔBDC
∠ADB = ∠C + ∠DBC :- Exterior angle of a triangle theorem
72° = ∠C + ∠DBC
∠BDC = 72° + ∠A
∠DBC + ∠BDC + ∠C = 180° (angle summation property)
∠DBC = 180° - (∠BDC + ∠C) = 180° - (72° + 36° + 36°) = 36°
∠DBC = 36° = ∠C
In ΔBCD, ∠DBC = ∠C
ΔBCD is an isosceles triangle :- definition of an isosceles triangle
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Simplify: (x + 7)(x-4)
A. 2r +3
B. 12-28
C. x2-3x - 28
D. x2 + 3x - 28
Answer:
(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28