Answer:
-131
Step-by-step explanation:
2×2×3×4-15×2×2×3+-1
48-179
=-131
Consider the equation -5+10x+3=5x+6. How many solutions are there?
One
None
Infinitely many
What is m
A- 28
B- 31
C- 62
D- 90
E- 118
Answer:
D. 90
Step-by-step explanation:
If a triangle is inscribed inside of a circle, using the diameter as the hypotenuse, then the opposite angle of the hypotenuse is equal to 90 °
Because ΔABC is inscribed inside of the circle using the diameter it is a right triangle.
∠ABC is the angle opposite of the diameter therefore ∠ABC = 90°
Jack invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of his investment after x years: f(x)
Equation = P(1+r)^x, where P is the initial amount invested, r is the fixed interest rate, and x is the number of years.
It is important to note that the equation provided is the formula for compound interest. P is the initial principal, r is the annual interest rate, and x is the number of years the money is invested. The equation gives the total amount of money in the account after x years.
It should be also noted that the interest rate is given as a decimal and not a percentage.
For example, if the interest rate is 5%, then r = 0.05.
In order to use this equation, the value of P, r and x should be known
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This year’s favorite to win the frog jumping event is Newton. The objective is to take the longest jumps and stop as close as possible to 120 steps. Pythagoras and Fermat are Newton’s toughest competition. ● Newton takes 4 jumps and falls short of the mark by 4 steps. ● Pythagoras takes 5 jumps and overshoots the mark by 5 steps. ● Fermat hits the mark exactly after 6 jumps. How long, in steps, is each frog’s jump?
The length of jump by Pythagoras = 25 units
The length of jump by Newton = 29 units
The length of jump by Fermat = 20 units
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the length of the jump by Pythagoras be P
Let the length of the jump by Newton be N
Let the length of the jump by Fermat be F
Now , the equation will be
The total number of steps = 120 steps
The number of jumps by Pythagoras = 5 jumps
The number of steps overshoot by Pythagoras = 5 steps
So , P ( 5 ) - 5 = 120 be equation (1)
On simplifying the equation , we get
Adding 5 on both sides of the equation , we get
5P = 125
Divide by 5 on both sides of the equation , we get
P = 25 units
The number of jumps by Newton = 4 jumps
The number of steps fell short by Newton = 4 steps
So , N ( 4 ) + 4 = 120 be equation (2)
On simplifying the equation , we get
Subtracting 4 on both sides of the equation , we get
4N = 116
Divide by 4 on both sides of the equation , we get
N = 29 units
The number of jumps by Fermat = 6 jumps
So , F ( 6 ) = 120 be equation (2)
On simplifying the equation , we get
Divide by 6 on both sides of the equation , we get
F = 20 units
Therefore , the value of P , N and F are 25 , 29 and 20 units respectively
Hence , the length of each jump is 25 , 29 and 20 units
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The reasures of two angles have a sum of 180°. The measures of the angles are in a ratio of 5:1. Determine the measures of both angles.
Answer:
150° : 30°
Step-by-step explanation:
total ratio
5 + 1 = 6
ratio 1
180 ÷ 6 = 30
ratio 5
30 × 5 = 150
I don't really understand it lol
In the figure below, side AC of ABC lies on line l.
A. 25
B. 30
C. 22
D. 24
please help and explain
Which represents the value of x?
The spinner is spun 75 times. What is the experimental probability of spinning the given result? Round your answer to the nearest hundredth if necessary. Outcome A B C D Frequency 20 11 14 30 B or C
The experimental probability of spinning of B or C is 1/3.
In the given question, the spinner is spun 75 times.
We have to find the experimental probability of spinning of B or C.
The given data is:
Outcome A B C D
Frequency 20 11 14 30
Total frequency = 20 + 11 + 14 + 30
Total frequency = 75
The probability of spinning B = Frequency of B/Total Frequency
The probability of spinning B = 11/75
The probability of spinning C = Frequency of C/Total Frequency
The probability of spinning C = 14/75
Now the experimental probability of spinning of B or C;
P(B or C) = P(B) + P(C)
P(B or C) = 11/75 + 14/75
P(B or C) = (11 + 14)/75
P(B or C) = 25/75
P(B or C) = 1/3
Hence, the experimental probability of spinning of B or C is 1/3.
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22 - {[(87 - 32) divided by 5] × 2}
22 − ( ( ( 87 − 32 ) ÷ 5 ) × 2 )
Simplify each term.
22 − 22
Subtract 22 from 22 .
= 0
Find the value of x.
B
С
2
Х
30°
A
30
5
D
5
x = [?]
Answer:
CD = 2 = x
Step-by-step explanation:
Remark
The problem is not in getting x. The answer is 2. The problem is showing y.
Givens
Call the center of the circle O.
BO,AO,CO,DO circle radii
Chords AB and CD
AB = 2
<BOA = <COD
Solution
BO,AO,CO,DO area all equal to each other. All are radii.
<BOA = <COD = 30 Given
ΔBOA = ΔCOD SAS
AB = CD CPCTC
CPCTC means corresponding parts of Congruent Triangles are congruent.
Note also that AB and CD must be chords.
Se seleccionan un grupo de datos de 120 personas donde 40 tienen una estatura promedio de 1.70 y 50 tienen una estatura de 1.68 y 10 están entre las dos estaturas: encuentre la probabilidad de los faltantes estén en las estaturas.
what are u saying ????????/?
i can't read spanish
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
What is the probability of getting exactly at least two tails?
CORRECT ANSWER WITH **STEPS** GETS BRAINLIEST
for the following questions, determine what values of x makes the rational expression equal to zero.
1. x+6 / x-4
2. (x+4)(x-2) / (x+6)
3. 2x+10 / 3x-12
thanks.
Answer:
see explanation
Step-by-step explanation:
if the denominator of a rational expression is zero then the expression will be undefined.
the numerator is the part of the rational expression that makes it zero.
solve the numerators in each to find values of x
1
[tex]\frac{x+6}{x-4}[/tex]
x + 6 = 0 ( subtract 6 from both sides )
x = - 6 ← value that makes expression equal to zero
2
[tex]\frac{(x+4)(x-2)}{x+6}[/tex]
(x + 4)(x - 2) = 0
equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
x = - 4 and x = 2 make the expression equal to zero
3
[tex]\frac{2x+10}{3x-12}[/tex]
2x + 10 = 0 ( subtract 10 from both sides )
2x = - 10 ( divide both sides by 2 )
x = - 5 ← value that makes expression equal to zero
Answer:
1) x = -6
2) x = -4 and x = 2
3) x = -5
Step-by-step explanation:
A rational expression is undefined when the denominator equals zero.
A rational expression equals zero when the numerator equals zero.
Question 1Given rational expression:
[tex]\dfrac{x+6}{x-4}[/tex]
Set the numerator to zero and solve for x:
[tex]\implies x+6=0[/tex]
[tex]\implies x=-6[/tex]
Question 2Given rational expression:
[tex]\dfrac{(x+4)(x-2)}{x+6}[/tex]
Set the numerator to zero:
[tex]\implies (x+4)(x-2)=0[/tex]
Apply the zero-product property and solve for x:
[tex]\implies x+4=0 \implies x=-4[/tex]
[tex]\implies x-2=0 \implies x=2[/tex]
Question 3Given rational expression:
[tex]\dfrac{2x+10}{3x-12}[/tex]
Factor the numerator and denominator:
[tex]\dfrac{2(x+5)}{3(x-4)}[/tex]
Set the numerator to zero and solve for x:
[tex]\implies 2(x+5)=0[/tex]
[tex]\implies x+5=0[/tex]
[tex]\implies x=-5[/tex]
The linear function F is defined as f(x) = -2x + 3. Consider the graph of y = f(x) in the xy-Plane.
If the function g(x) = f (x) + k, where k = 2, describe the changes to the slope and y-intercept of this transformation.
The changes to the slope and to the intercept of the linear function after the transformation g(x) = f(x) + k, in which k = 2, are given as follows:
The slope remains constant.The intercept is increased by two.What is the definition of a linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope.b is the y-intercept.The function f(x) in this problem is given as follows:
f(x) = -2x + 3.
Meaning that it has a slope of -2 and and intercept of 3.
The function g(x) is defined as follows:
g(x) = f(x) + k.
Since k = 2, we have that:
g(x) = f(x) + 2
g(x) = -2x + 3 + 2
g(x) = -2x + 5.
Hence the slope and the intercept are given as follows:
Slope of -2, which is the same as f(x).Intercept of 5, which is an increase of 2 compared to the intercept of f(x).More can be learned about linear functions at https://brainly.com/question/24808124
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How is the relationship between the formula for the volume of a cone and the formula for the volume of acylinder
Select the interval where f is negative.
Answer: A
Step-by-step explanation:
Based on the graph, we know that it is negative if it is under the x-axis. It is also indicated by the negative labels.
A: correct
Looking at choice A, it says the interval is from -4<x<-2. This means we have to find x=-4 and x=-2. On the graph, that interval is below the x-axis, so it is negative.
B: incorrect
Looking at choice B, it says the interval is from -1<x<1. This means we have to find x=-1 and x=1. On the graph, that interval is above the x-axis, so it is positive, not negative.
C: incorrect
Looking at choice C, it says the interval is from 2<x<4. This means we have to find x=2 and x=4. On the graph, that interval is above the x-axis, so it is positive, not negative.
Therefore, A is the correct answer.
S2 Alg I Unit 3B Common Unit Assessment (MC&CR) / 5 of 11
If (x - 3)2 = 5, what vakies of x make the quadratic equation TRUE?
O A. 3+5
ОВ.
+
3
O C. -5+3
O D. -3 + 5
028)
the cost to insure jewellery is a fixed amount plus a percentage of the value of the jewellery. it costs 32$ to insure 1000$ worth of jewellery or 44.5$ to insure 3500$ worth of jewellry.what is the fixed amount to insure jewellery?
i wrote jewellery so much it isnt a word anymore send help ( explanatio ) asap!
Answer:
The fixed cost to insure jewellery is $0.602.
Step-by-step explanation:
We can use the information provided to set up a system of two equations in two variables, and then use the system to solve for the fixed cost of insuring the jewellery. Let x be the fixed cost and y be the percentage of the value of the jewellery. Then we can write the following two equations:
1000x + 1000y = 32 (1) (cost equation for insuring $1000 worth of jewellery)
3500x + 3500y = 44.5 (2) (cost equation for insuring $3500 worth of jewellery)
We can use either of these equation to solve for the fixed cost(x), to do that we can first solve for y from either of the equation, and then substitute it in other equation.
From equation (1)
y = (32 - 1000x) / 1000
then substitute this in equation (2)
3500x + 3500((32-1000x) / 1000) = 44.5
3500x + 32 - 3500x =44.5 - (1000x)
-20x = -12.05
x = 0.602 $
So, the fixed cost to insure jewellery is $0.602.
That means you have to pay $0.602 as a fixed cost, in addition to 0.01(y) as a percentage of the value of jewellery to insure it.
Plz, help me with this question!
Answer:
A. Triangular Prism
Step-by-step explanation:
Pyramids have a square base, so it's not that. and it is not rectangular, so it's not that either
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Simplify the complex numbers using de Moivre's Theorem and match them with their solutions 2(3+1) 2. cos(20°) + sin(20°)] 2[ coo(4)+isin(7)]* (-1+i) -41 (1+1) -16 4+4731 Reset Next
The complex numbers are solved using De Moivre's Theorem and then are matched with their respective solutions.
What is De Moivre's Theorem?
De Moivre's formula, also known as the theorem and identity of de Moivre, says that for any real number x and integer n, holds -
(cos x + i sin x)^n=cos nx + i sin nx
where i is the imaginary unit (i^2 = 1).
Also, [r(cos x + i sin x)]^n = r^n(cos nx + i sin nx) or [r cis x]^n = [r^n cis nx].
The first complex number is (1+i)^5.
Solve using De Moivre's formula -
(1+i)^5 = [√2{(1/√2)+(i/√2)}^5]
=(√2)^5[cos(π/4)+i sin(π/4)]^5
=(√2)^5[cos(5π/4)+i sin(5π/4)]
=(√2)^5[(-1/√2)-(i/√2)]
=4(-1-i)
=-4-4i
The second complex number is (-1+i)^6.
Solve using De Moivre's formula -
(-1+i)^6=(1-i)^6
=[√2{(1/√2)-(i/√2)}^6]
=(√2)^6[cos(-π/4)+i sin(-π/4)]^6
=(√2)^6[cos(-6π/4)+i sin(-6π/4)]
=8(0+1i)
=8i
The third complex number is 2[cos(20)+i sin(20)]^3.
Solve using De Moivre's formula -
2[cos(20)+i sin(20)]^3=2^3[cos(60)+i sin(60)]
=8[(1/2)+{(√3)i/2}]
=4+4√3i
The last complex number is 2[cos(π/4)+i sin(π/4)]^4.
Solve using De Moivre's formula -
2[cos(π/4)+i sin(π/4)]^4=2^4[cos(4π/4)+i sin(4π/4)]
=16[cos(π)+i sin(π)]
=16(-1+i(0)]
=-16
Therefore, the complex numbers are solved using the theorem.
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NEED HELP ASAP DUE SOON!!!! This scatter plot shows the relationship between the amount of time, in hours, spent working on an essay and the grade, as a percent, earned.
Enter the approximate slope of the estimated line of best fit.
Answer:
5 % per hour
Step-by-step explanation:
Pick two of the grid points the line seems to go through. I'm using (0, 50) and (4, 70).
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{70-50}{4-0}=\frac{20}{4}=5[/tex]
What are the 3 types of translations in math?
4x(3 +5) Please answer :(
Answer: 32x
Step-by-step explanation:
4x (3 + 5)
add 3 and
⇒ 4x (8)
⇒ 32x answer .
hope that helps...
Enter the fraction in simplest form.
9
12
The fraction in simplest form is
Answer:
the factors of 12 are 1, 2, 3, 4, 6, and 12. So the greatest common factor of 9 and 12 is 3. So you divide both sides by 3. So the simplest form of 9/12 is 34.
Step-by-step explanation:
hope his correct, .. sorry if not <33
can you mark branliest if right?
Answer:
3/4
Step-by-step explanation:
so you have 9/12, to ind the simplest form you would divide by 3 since you can multiply 3 to get these answers.
9/3=3
12/3=4
so the answer is 3/4
What is the difference?
X/x^2-16 - 3/x-4
Answer:
B
Step-by-step explanation:
6. Given:
Prove: AB = DC
I need helpppp PLEASEEEEEEE
which postulate proves these two triangles are congruent
The given triangles are congruent by SAS criteria.
What are congruent triangles?Congruent triangles have both the same shape and the same size.
Given are two right angled triangles as shown in the image.
In the right angled triangles -
Two corresponding sides are equal.
They both have one right angle common.
We can conclude them as congruent by SAS Rule.
Therefore, the given triangles are congruent by SAS criteria.
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Shondra borrowed $200 for the books she needed for her second semester of college. The finance charge on the loan was $12, and the term of the loan was 21 days. What was the APR of Shondra's loan?
Answer:
the Annual percentage rate of shondra loan is 104.28%
Step-by-step explanation:
Given that
The borrowed amount is $200
The finance charge is $12
And, the term of the loan is 21 days
We need to find out the APR of the loan
so,
= (($12 ÷ $200) × 365) ÷ 21 × 100
= 104.28%
hence, the Annual percentage rate of shondra loan is 104.28%
Sugar cookies make up 38% of all sales for a local baker's cookie sales. If the baker sold 133 sugar cookies, how many total cookies did the baker sell?
The total number of cookies baker sold in all are 350 cookies.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, sugar cookies make up 38% of all sales for a local baker's cookie sales.
Let the total number of cookies be x.
Now, 38% of x=133
38/100 ×x=133
x=13300/38
x=350
Therefore, the total number of cookies baker sold in all are 350 cookies.
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