Answer:
25,893
Step-by-step explanation:
2.740 x 9.45=25,893
What is the value of Y
Answer:
the answer is 55
Step-by-step explanation:
all angles have to equal up to 180.
55+30=85
85+40=125
180-125=55
Write a linear equation that passes through the points (-3,3) and (9,-13)
please help!
The equation of the line that passes through the given points is 3y + 4x = -3
From the question,
We are to determine the equation of the line that passes through the points (-3,3) and (9,-13)
The equation can be determined by using the formula for calculating the equation of a line with two given points.
The formula for determining the equation of a straight line with two given points (x₁, y₁) and (x₂, y₂) is
[tex]\frac{y-y_{1} }{x-x_{1} } = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
From the question,
x₁ = -3
y₁ = 3
x₂ = 9
y₂ = -13
Putting the parameters into the formula, we get
[tex]\frac{y-3}{x--3}= \frac{-13-3}{9--3}[/tex]
This becomes
[tex]\frac{y-3}{x+3} = \frac{-16}{12}\\[/tex]
Then,
[tex]\frac{y-3}{x+3}=\frac{-4}{3}[/tex]
This becomes
[tex]3(y-3) = -4(x+3)[/tex]
Clearing the brackets, we get
[tex]3y -9 = -4x -12[/tex]
[tex]3y+4x= -12 +9[/tex]
[tex]3y +4x =-3[/tex]
Hence, the equation of the line that passes through the given points is 3y + 4x = -3
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The linear equation that passes through the points (-3,3) and (9,-13) can be found by first calculating the slope (m) using the formula (y2 - y1) / (x2 - x1), giving m = -4/3. Next, substitute one of the points and the slope into the slope-intercept form of a linear equation, y = mx + b, to solve for the y-intercept (b), resulting in b = -1. Thus, the desired linear equation is y = -4/3x - 1.
Explanation:To write a linear equation that passes through two points (-3,3) and (9,-13), we first need to find the slope (m) of the line. The formula to find the slope is (y2 - y1) / (x2 - x1), where (x1,y1) and (x2,y2) are the coordinates of the two points. Therefore, m = (-13 - 3) / (9 - (-3)) = -16/12 = -4/3.
Next, we use the slope-intercept form of a linear equation, y = mx + b where 'm' is the slope, and 'b' is the y-intercept. We can substitute one of our points and the slope into this equation to solve for b. Let's use the point (-3,3). So, 3 = (-4/3)*(-3) + b. This simplifies to 3 = 4 + b. Solving for b gives b = 3 -4 = -1.
Therefore, the linear equation that passes through the points (-3,3) and (9,-13) is y = -4/3x - 1.
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Venla is 5 years older than her cousin Kora. How old is Kora when Venla is 18 years old?
Answer:
kora is 13
Step-by-step explanation:
venla is 5 years older than kora
18-5=13
Answer: The Equation answer is V=k+5
how old is kora when venla is 18 years old? Is 13 years old
Step-by-step explanation:
Help fast
given V=IWH which shows an equation showing H
1 H=V/IW
2 H=IW/V
3 H=VI/W
4 H=VIW
Answer:
h = 3V / lw <===ANSWER
Step-by-step explanation:
V = 1/3 lwh (multiply both sides by 3)
3V = lwh (divide both sides by lw)
3V / lw = h
What is the interquartile range of this data set 2,5,9,1118,30,42,55,58,73,81
Answer:
49
Step-by-step explanation:
If so the inter quartile range = 58 - 9 = 49
Answer:
the answer would be 49 i hope this helps
Step-by-step explanation:
Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pine tree is 2121 meters. The height of 44 fir trees stacked on top of each other is 2424 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered? Each fir tree is meters tall and each pine tree is meters tall.
Answer:
Fir trees are 9 meters and the pine trees are 12 meters tall.
Step-by-step explanation:
Let the height of the fir tree = x and the height of the pine tree = y (in meters).
It is given that the combined height of both the trees is 21 meters.
That is, [tex]x+y=21[/tex]
Also, the height of 4 fir trees is 24 meters more than that of the pine tree.
That is, [tex]4x=y+24[/tex] i.e. [tex]4x-y=24[/tex]
So, we get the system of equations,
x+y=21
4x-y=24
Adding both the equations, gives us,
5x = 45 i.e. x= 9.
So, x+y=21 ⇒ y= 21 - x ⇒ y= 21 - 9 ⇒ y= 12.
Thus, the fir trees are 9 meters tall and the pine trees are 12 meters tall.
How many solutions does the graphed system of equations have:
Answer:
since the lines don't intersect there is no solution.
Find the missing value when given the modulus.
|48+bi|=50
Answer:
missing value b is 14
Step-by-step explanation:
We have been given the modulus of a complex number which is
[tex]r=\sqrt{a^2+b^2}[/tex]
Here on comparing the given complex number with general a+bi we get:
a=48 and b=b
On substituting the values in the formula for modulus we get:
[tex]\sqrt{48^2+b^2}=50[/tex]
[tex]\Rightarrow 2304+b^2=50^2[/tex]
[tex]\Rightarrow b^2=2500-2304[/tex]
[tex]\Rightarrow b^2=196[/tex]
[tex]\Rightarrow b=\sqrt{196}[/tex]
[tex]\Rightarrow b=14[/tex]
Therefore, missing value b is 14
Answer: 14
Step-by-step explanation:
Edg 2021
Lea walked 12 mile in 13 hour. HELP ASAP!!!
How long will it take Lea to walk 214 miles?
Enter your answer as a mixed number in simplest form in the box.
hours
Answer:
1 1/2 hours
Step-by-step explanation:I took the test
Please answer this question for 15 points and brainliest!
Look at the picture.
[tex]A_1=15\cdot6=90\ cm^2\\\\A_2=5\cdot5=25\ cm^2\\\\A_3=5\cdot4=20\ cm^2\\\\A_4=6\cdot8=48\ cm^2\\\\A_5=15\cdot2=30\ cm^2\\\\A_6=2\cdot2=4\ cm^2\\\\A_7=15\cdot8=120\ cm^2\\\\A_8=15\cdot6=90\ cm^2\\\\S.A.=A_1+2A_2+5A_3+2A_4+2A_5+2A_6+A_7+A_8\\\\S.A.=90+2\cdot25+5\cdot20+2\cdot48+2\cdot30+2\cdot4+120+90\\\\\boxed{S.A.=614}\ cm^2[/tex]
Use the binomial theorem to expand (d-4b)^3
Please explain.
Answer:
d^3 - 12d^2 b + 48db^2 - 64b^3
Step-by-step explanation:
(d - 4b)^3
First term: [3!/(3 - 0!)*0!] = 3!/(3!)*1 = 1 First term: d^(3 - 0)*(4b)^0First term: d^3======================
Second Term 3!/(3 -1 )!*1! * d^(3-1)*(-4b)^1Second term 3 * d^2*(-4b)Second term - 12d^2 * b======================
Third term 3!/[(3 - 2)!2!] * d^(3 - 2) (-4b)^2Third term 3*d*16 b^2Third term 48 db^2======================
Last term 3!/[(3 - 3)!(3!) ] * d^(3 - 3) (- 4b)^(3)Last term 1*d^0*(-64b^3)Last term - 64b^3Explanation
The general term of the binomial expansion is
Combination
[n! / (n - k)! k! ]
This means for the second term that k = 2 and n = 3
So the expansion becomes
3!/(3 - 1)!*1!
3!/1! 2!
3
Descending powers
In the second term
k = 1 ; n = 3
d^(n - k)*(-4b)^k
d^(3-1 ) * (- 4b)^(1)
d^2 * (-4b)^1
- 4 d^2 * b
Of course you have to put this together with the three
- 12 d^2 * b^1 or - 12d^2b
I know this looks awful (and it really is) but if you want the 5th term of (a - 2b)^10, you would go crazy trying to do this by expanding the binomial 10 times. So practice every one of these. Eventually it becomes mechanical. Mr. Miagi (karate kid) would say "Teacher teach. Pupil do."
Answer:
d^3 - 12d^2 b + 48db^2 - 64b^3
(d - 4b)^3
First term: [3!/(3 - 0!)*0!] = 3!/(3!)*1 = 1
1*d^(3 - 0)*(4b)^0
1*d^(3)*(4b)^0
1*d^(3)=d^(3)
d^(3)*(4b)^0
d^3
Second Term 3!/(3 -1 )!*1! * d^(3-1)*(-4b)^1
Second term 3 * d^2*(-4b)
Second term - 12d^2 * b
Third term 3!/[(3 - 2)!2!] * d^(3 - 2) (-4b)^2
Third term 3*d*16 b^2
Third term 48 db^2
Last term 3!/[(3 - 3)!(3!) ] * d^(3 - 3) (- 4b)^(3)
Last term 1*d^0*(-64b^3)
Last term - 64b^3
What is the value of [tex]a[/tex] ?
Answer:
hello :
the graph passes by ( 3; -1/3) : f(3) = -1/3
a/ (3)^3 = -1/3
a / 27 = -1/3
a/9 = - 1
a = - 9
We have the point:
[tex]\left(3,\ -\dfrac{1}{3}\right)[/tex]
Put the coordinates of the point to the equation of the function f:
[tex]f(x)=\dfrac{a}{x^3}\to y=\dfrac{a}{x^3}\\\\\left(3,\ -\dfrac{1}{3}\right)\to x=3,\ y=-\dfrac{1}{3}\\\\\dfrac{a}{3^3}=-\dfrac{1}{3}\\\\\dfrac{a}{27}=-\dfrac{1}{3}\qquad\text{multiply both sides by 27}\\\\a=-\dfrac{1}{3}\cdot27\\\\\boxed{a=-9}[/tex]
At basketball practice,charle made 52 baskets out of 80 what percent of the baskets did he make
Eff had a lemonade stand and ended up with 5 times as much money at the end of the day than at the beginning of the day. He ended the day with $110. How much did he start with?
Eff started his lemonade stand with $22 and ended the day with $110, having earned five times his starting amount.
Eff started his day with a certain amount of money and ended up with $110 at the end of the day after earning five times the amount he started with. To calculate the amount Eff started with, we need to set up a simple equation based on the given information. Let x represent the amount of money Eff had at the beginning of the day. The relationship can be expressed as:
5x = $110
Divide both sides of the equation by 5 to find the starting amount:
x = $110 / 5
x = $22
Therefore, Eff started the day with $22.
which best describes the expression 12/a + 2a - 8?
a. monomial
b. binomial
c. trinomial
d. not a polynomial
Final answer:
The expression 12/a + 2a - 8 is not a polynomial because it contains a variable in the denominator, thus violating the definition of polynomials that only allow non-negative integer exponents.
Explanation:
The expression 12/a + 2a - 8 is best described as an option (d), not a polynomial because it contains a term with a variable in the denominator (12/a). Polynomials are algebraic expressions that consist only of non-negative integer powers of the variable. In this case, the term 12/a has a variable 'a' in the denominator, which implies a negative exponent if it were to be written with only the variable in the numerator. This is why the expression does not fit the definition of a polynomial.
On Monday at The county fair Jared played a game and won 75 tickets on Tuesday he won 105 tickets on Wednesday he won 127 but then spent 250 of them on a prize. How many more tickets does Jared need to win to get a prize that costs 150 tickets
Answer: 93
Step-by-step explanation:
NOTE: "won" means add, "spent" means subtract
Monday: + 75
Tuesday: Monday + 105 = 75 + 105 = 180
Wednesday: Tuesday + 127 - 250 = 180 + 127 - 250 = 57
Jared has 57 but needs 150
150 - 57 = 93Jared needs 93 more tickets to get a prize(75+105)+127= 307
307-250=57
jared has 57 tickets he wants to 150 ticket prize
57-150=93
Jared needs 93 tickets to get the prize
Greatest common factor of 35 and 39
Answer:
The GCF of 35 and 39 is 1.
Step-by-step explanation:
Factors of 35: 1, 5 and 7
Factors of 39: 1, 3, 13
1 is the only factor that these numbers have in common.
Hope this helps!
Answer:
35 - 1, 5, 7
39 - 1, 3, 13
the greatest common factor will be 1
hope this helps
Step-by-step explanation:
If M is perpendicular to N and L ll M then _____
N ll O
L is perpendicular to P
L is perpendicular to N
N ll P
Answer:
L is perpendicular to N
Step-by-step explanation:
M is perpendicular to N
L ll M
We can replace M with L since they are parallel
L is perpendicular to N
Answer:
Option C
Step-by-step explanation:
It is given that M is perpendicular to N and L ║ M
Since M ║L
and N is perpendicular to line M So L will be perpendicular to N.
That means N will be perpendicular transverse of both the parallel lines M and L
Option C is the answer.
A clothing sells 26 shirts and 22 pairs of jeans. Each item of clothing costs $32. What is a reasonable estimate for the total cost of the clothing? What is the exact answer for the total cost of the clothing?
Answer:
$1500 is a reasonable estimate.
Exact total cost of the clothing is $1536.
Step-by-step explanation:
We have been given that a clothing sells 26 shirts and 22 pairs of jeans. Each item of clothing costs $32.
First of all, we will find the estimate of price of clothing by rounding to nearest tens as:
[tex]26\approx 30[/tex]
[tex]22\approx 20[/tex]
[tex]\$32\approx \$30[/tex]
Estimated number of clothing would be [tex]30+20=50[/tex]
Estimated cost would be [tex]\$30\times 50=\$1500[/tex]
Therefore, $1500 is a reasonable estimate for the total cost of the clothing.
Let us find exact total number of clothing by adding 26 and 22 as:
[tex]26+22=48[/tex]
Exact total cost of clothing would be [tex]\$32\times 48=\$1536[/tex]
Therefore, the exact total cost of the clothing is $1536.
An elevator can carry 800 pounds of weight. A student weighing 95 pounds gets on the elevator. Write and solve an inequality to represent the remaining weight that can be added.
To represent the remaining weight that can be added to the elevator, write and solve the inequality 800 - 95 ≥ x. The remaining weight is 705 pounds or less.
Explanation:To represent the remaining weight that can be added to the elevator, we can use an inequality. Let's assume that the remaining weight is represented by 'x' pounds. The total weight the elevator can carry is 800 pounds. So, the inequality can be written as:
800 - 95 ≥ x
To solve the inequality, we subtract 95 from both sides:
x ≤ 800 - 95
x ≤ 705
Therefore, the remaining weight that can be added to the elevator is 705 pounds or less.
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You want to buy a new cell phone. The sale price is $149 $ 149 . The sign says that this is $35 $ 35 less than the original cost. What is the original cost of the phone?
Solve for L: P = 2L + 2W
A L = P – 2W
B L is equal to P minus 2W all over 2
C L = 2(P – 2W)
D L = P – 2L – W
Answer:
B L is equal to P minus 2W all over 2
Step-by-step explanation:
P = 2L + 2W
We want to isolate L.
The first step is to subtract 2W from each side.
P-2W = 2L + 2W-2W
P-2W = 2L
Now divide each side by 2
(P-2W)/2 = 2L/2
(P-2W)/2 = L
HELPP PLSS
what is the measure of xz
Answer:
D = 130
Step-by-step explanation:
We can use the formula
<Y = 1/2 (big arc XZ - little arc XZ)
50 = 1/2 ( 230- XZ)
Multiply by 2 on each side
100 = 230-XZ
Subtract 230 from each side
100-230 = 230-230 -XZ
-130 = -XZ
Multiply each side by -1
-1*-130 = -1 * -XZ
130 = XZ
Answer:
D. the measure of xz is 130 degrees
Step-by-step explanation:
The correct answer is 130 degrees
PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
What is the equation of this line in slope-intercept form?
A. 5y = 4x
B. y = 4x - 5
C. 4x - 5y = 0
D. y = 4/5x
Answer:
D. y = 4/5x
Step-by-step explanation:
Equations A and C are not in slope-intercept form.
Equation B has a y-intercept of -5, which the graph does not.
The only viable choice is D.
Find BE
Is a regular pentagon
Answer:
BE =40
Step-by-step explanation:
Since this is a regular pentagon
BE = BD
3x+4 = 2x+16
Subtract 2x from each side
3x-2x +4 = 2x-2x+16
x+4 = 16
Subtract 4 from each side
x+4-4 = 16-4
x =12
We want to know the length of BE
BE = 3x+4
x=12 so we can substitute it in
3(12) +4
36+4
40
BE =40
What is the slope of a line perpendicular to a line with the equation y = 5x - 2 ?
Answer:
-1/5
Step-by-step explanation:
Perpendicular lines are lines which have a specific relationship. The slopes of the two lines are negative reciprocals of each other. We can find the slope easily in slope-intercept form, y=mx+b.
Since our equation is already in slope intercept form then y=5x-2 has a slope of 5.
The slope of the perpendicular line will be -1/5. This is the negative reciprocal of 5.
Answer:
The answer is A, -1/5!
Help please ?
The function c(t)=8t+10 gives the amount c (in dollars) that you pay when you rent a kayak flr $10 and use it for time t (in hours). Write AND Interpret that inverse of this function
Answer:
[tex]t(c)=\frac{t-10}{8}[/tex] determines the time you used the kayak for at a specific cost you paid.
Step-by-step explanation:
The inverse of a function, is the function or rule formed by reflecting the line over y=x. This means essentially that all (x,y) values from the original function switch to (y,x).
(x,y)--->(y,x) in the new function.
If the function has points (-3,4) and (5,-2) then the inverse has points (4,-3) and (-2, 5).
For the original function, we used the time we had the kayak to compute the cost. For 3 hours, it cost c(3)=8(3)+10=$34. (3,34) for (t,c).
For the inverse, we will find the time we had the kayak for a specific cost. To write it we switch input(x) and output(y) and solve for y.
y=8x+10
x=8y+10
x-10=8y
[tex]\frac{x-10}{8} =y[/tex]
This is the inverse function, We replace (x,y) with (c,t).
[tex]t(c)=\frac{t-10}{8}[/tex]
In a group of 40 children, 14 are allergic to peanuts. What percentage of the group are allergic to peanuts?
Answer:
35%
Step-by-step explanation:
So we can write that 14/40 of the group is allergic to peanuts. So 7/20 of the group are allergic or 35/100.
I NEED SERIOUS HELP!! SOMEONE PLEASE EXPLAIN THIS TO ME! The function P(t) = 145e-0.092t models a runner’s pulse, P(t), in beats per minute, t minutes after a race, where 0 ≤ t ≤15. Graph the function using a graphing utility. TRACE along the graph and determine after how many minutes the runner’s pulse will be 70 beats per minute. Round to the nearest tenth of a minute. Verify
Answer:
the runner’s pulse will be 70 beats per minute in 7.9 minutes
Step-by-step explanation:
[tex]P(t) = 145e^{-0.092t}[/tex]
Graph the function using a graphing utility.
Graph is attached below.
P(t) is beats per minute
Given P(t) is 70, so we plug in 70 for P(t) and solve for t
[tex]70= 145e^{-0.092t}[/tex]
Divide both sides by 145
[tex]\frac{70}{145} =e^{-0.092t}[/tex]
Now take ln on both sides
[tex]ln(\frac{70}{145})=ln(e^{-0.092t})[/tex]
[tex]ln(\frac{70}{145})=-0.092t[/tex]
Divide both sides by -0.092
So t≈7.91564
Round to nearest tenth t= 7.9
We can verify it from second graph
To find when the runner's pulse will be 70 beats per minute, you need to set the function P(t) = 145e-0.092t equal to 70 and solve for t. This requires knowledge of natural logarithms and exponent laws.
Explanation:The question asks us to graph the function P(t) = 145e-0.092t which represents a runner’s pulse, P(t), in beats per minute, t minutes after a race where the restriction for the time t is 0 ≤ t ≤ 15. To determine after how many minutes the runner’s pulse will be 70, we can use the equation P(t) and then set P(t) equal to 70, which will look something like this: 70 =145e-0.092t. Solving this equation will therefore give us the time it takes for the runner's pulse to decrease to 70 beats per minute after a race. Solving this requires knowledge of natural log and exponent laws. The resulting value, rounded to the nearest tenth of a minute, should be the correct answer.
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Marsha wants to determine the vertex of the quadratic function f(x)=x^2-x+2. What is the function's vertex?
Answer:
vertex = ( [tex]\frac{1}{2}[/tex], [tex]\frac{7}{4}[/tex])
Step-by-step explanation:
given a quadratic in standard form : ax² + bx + c : a ≠ 0
the x- coordinate of the vertex can be found as
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
f(x) = x² - x + 2 is in standard form
with a = 1, b = - 1 and c = 2
[tex]x_{vertex}[/tex] = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
substitute this value into the function for the y-coordinate
y = ([tex]\frac{1}{2}[/tex])² - [tex]\frac{1}{2}[/tex] + 2 = [tex]\frac{7}{4}[/tex]
vertex = ( [tex]\frac{1}{2}[/tex], [tex]\frac{7}{4}[/tex])