Explanation:
The commutative law of multiplication says that A*B = B*A, for any real numbers A,B. The order of multiplication doesn't matter.
That's why 15*3 is the same as 3*15.
This is because having 15 groups of 3 leads to 3+3+3+...+3 = 45 (imagine adding 15 copies of '3' together), and having 3 groups of 15 gets us 15+15+15 = 45 as well.
Or you could picture a rectangular table that has 15 rows and 3 columns. It has 45 inner cells. If the table had 3 rows and 15 columns, then we'd still have 45 inner cells.
Two numbers differ by 18. If 2/7 of the larger is 6 more than 1/4 of the smaller, find the two numbers
Answer:
Step-by-step explanation:
1) x-y=18
2) 2x/7-y/4=6
from 1) x=18+y substituting in 2)
2(18+y)/7-y/4=6
36/7+y(2/7-1/4)=6
y=(6-36/7)/(2/7-1/4)
y=(6/7)/(1/28)
y=24
x=18+y=18+24
x=42
Find the value of the trigonometric ratio. Simplify the ratio if possible.
(Hint: You may need to use some pythagorean theorem first!)
Step-by-step explanation:
Given that,
BC = 8
Ac = 15
We can find AB using the pythagoas theorem.
[tex]AB=\sqrt{AC^2+BC^2}\\\\=\sqrt{15^2+8^2}\\\\AB=17[/tex]
We know that,
[tex]\cos\theta=\dfrac{B}{H}[/tex], B is base and H is Hypotenuse
[tex]\cosB=\dfrac{8}{17}[/tex]
Hence, this is the required solution.
The set of lifespans of an appliance is normally distributed with a mean of 48 months and a standard deviation of eight months. What is the lifespan of an appliance that has a Z score of -3?
Answer:
24 months
Step-by-step explanation:
Given :
Mean = 48
Standard deviation = 8
Zscore = - 3
Using the relation :
Zscore = (x - mean) / standard deviation
Where, x = score
-3 = (x - 48) / 8
-3 * 8 = x - 48
-24 = x - 48
-24 + 48 = x
24 = x
Score = 24
GEOMETRY PROOFS:
Type your answer in the following format.
Statement 2:
Reason 3:
Statement 4:
Reason 5:
Reason 6:
Answer:
Statement 2: ∠BAC = ∠CZY
Reason 3: Vertically opposite angles
Statement 4: YC = CB
Reason 5: AAS (Angle, Angle, Side)
Reason 6: Corresponding sides, congruent triangles
5th grade math. correct answer will be marked brainliest
Answer:
I put 6/9 even though i know its wrong
Step-by-step explanation:
PLEASE HELP !! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
Answer: 2
Step-by-step explanation:
Sub in 2 to both equations
[tex]2^2-1=-2+5\\4-1=3\\3=3[/tex]
As you see we see that both sides result into 3 (which would be the y) meaning they both intersect when x=2 and y=3
Use the Side, Side, Side Rule (SSS) to prove that the triangles in each pair are congruent. Draw hash marks to show the congruent sides. Then write a congruence statement for each pair of triangles
Answer:
(1) ΔMAN ≅ ΔBOY
(2) ΔMAT ≅ ΔRUG
(3) ΔEBN ≅ ΔUHR
(4) ΔTOP ≅ ΔLID
(5) ΔCAT ≅ ΔDOG
(6) ΔITP ≅ ΔLOH
Step-by-step explanation:
The following combinations of the congruent triangle facts will be sufficient to prove triangles congruent.
The combinations are:
(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.
(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.
(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.
(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.
Part (1):
As we are given two triangles.
Side AM = Side OB
Side MN = Side BY
Side AN = Side OY
That means,
ΔMAN ≅ ΔBOY
Part (2):
As we are given two triangles.
Side MA = Side RU
Side MT = Side RG
Side AT = Side UG
That means,
ΔMAT ≅ ΔRUG
Part (3):
As we are given two triangles.
Side EB = Side UH
Side BN = Side HR
Side NE = Side RU
That means,
ΔEBN ≅ ΔUHR
Part (4):
As we are given two triangles.
Side OT = Side IL
Side OP = Side ID
Side PT = Side DL
That means,
ΔTOP ≅ ΔLID
Part (5):
As we are given two triangles.
Side AC = Side OD
Side AT = Side OG
Side TC = Side GD
That means,
ΔCAT ≅ ΔDOG
Part (6):
As we are given two triangles.
Side TP = Side OH
Side IT = Side LO
Side IP = Side LH
That means,
ΔITP ≅ ΔLOH
Answer:
hehe boi
Step-by-step explanation:
What is the probability that out of 250 babies born, 110 or fewer will be boys?
Aaaume that boys and girls are equally probable, and round your answer to
the nearest tenth of a percent,
A. 3.3%
B. 75.7%
C. 28.5%
O D. 97.5%
Answer:
A. 3.3%
Step-by-step explanation:
We use the normal approximation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
250 babies, boys and girls equally as likely:
This means that [tex]n = 250, p = 0.5[/tex].
Mean and standard deviation:
[tex]\mu = E(X) = np = 250*0.5 = 125[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.5*0.5}[/tex]
Probability that out of 250 babies born, 110 or fewer will be boys?
Using continuity correction, this is P(X < 110 + 0.5) = P(X < 110.5), which is the p-value of Z when X = 110.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110.5 - 125}{\sqrt{250*0.5*0.5}}[/tex]
[tex]Z = -1.83[/tex]
[tex]Z = -1.83[/tex] has a p-value of 0.033
0.033*100% = 3.3%, so option A.
I need the answer to the question
The answer is A
One revolution is equal to the circumference of the tire:
C=2pi r=2(1)(frac{22}{7})=\frac{44}{7}
The car travels at 4,400 ft per minute. To calculate the number of revolutions, divide the speed by the circumference:
4,400div frac{44}{7}=4,400times frac{7}{44}=700
700 revolutions.
Let P(x, y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant II and x = − 5⁄8 , evaluate the six trigonometric functions of θ.
The six trigonometric function of [tex]\theta[/tex] are [tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex], respectively.
In this question, we assume that x-component of the terminal point is part of a unit circle. Then, we can find the value of y by means of the Pythagorean theorem:
[tex]y = \sqrt{1-x^{2}}[/tex] (1)
If we know that [tex]x = -\frac{5}{8}[/tex] and P is in the second quadrant, then the value of y is:
[tex]y = + \sqrt{1-\left(-\frac{5}{8} \right)^{2}}[/tex]
[tex]y \approx 0.781[/tex]
By trigonometry, we remember the following definitions for the six basic trigonometric functions:
[tex]\sin \theta = \frac{y}{1}[/tex] (1)
[tex]\cos \theta = \frac{x}{1}[/tex] (2)
[tex]\tan \theta = \frac{y}{x}[/tex] (3)
[tex]\cot \theta = \frac{1}{\tan\theta}[/tex] (4)
[tex]\sec \theta = \frac{1}{\cos \theta }[/tex] (5)
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (6)
If we know that [tex]x = -\frac{5}{8}[/tex] and [tex]y \approx 0.781[/tex], then the six basic trigonometric functions are, respectively:
[tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex]
The six trigonometric function of [tex]\theta[/tex] are [tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex], respectively.
We kindly invite you to check this question related to trigonometric functions: https://brainly.com/question/6904750
Solve the following equation algebraically show the steps:
n/3 -5 = 5
[tex]\longrightarrow{\green{ \: n = 30 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{n}{3} - 5 = 5[/tex]
➼ [tex] \: \frac{n}{3} = 5 + 5[/tex]
➼ [tex] \: \frac{n}{3} = 10[/tex]
➼ [tex] \: n = 10 \times 3[/tex]
➼ [tex] \: n = 30[/tex]
Therefore, the value of n is 30.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex] \frac{30}{3} - 5 = 5[/tex]
✒ [tex] \: 10 - 5 = 5[/tex]
✒ [tex] \: 5 = 5[/tex]
✒ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Huilan is 11 years older than Thomas. The sum of their ages is 67 . What is Thomas's age?
Answer:
Thomas is 28.
Step-by-step explanation:
Let Huilan’s age be “x + 11”
Let Thomas’s age be “x”
x + x + 11 = 67
2x + 11 = 67
2x = 56
x = 28 years
x + 11 = 39 years
Thomas is 28.
Find the 7th term of the geometric sequence
7, 24.5, 85.75, ...
Answer:
12,867.859375
Step-by-step explanation:
24.5/7 = 3.5
Geometric sequence
A_n = 7 * (3.5)^(n - 1)
A_7 = 7 * (3.5)^(7 - 1)
A_7 = 12,867.859375
please help now
Your pump empties the water from a swimming pool in 4 hours. When your friend's pump is used together with your pump, the pool is emptied in 48 minutes. How long (in hours) does it take your friend's pump to empty the pool when working alone?
Answer:
Time taken for pump B to empty pool = 1 hour.
Step-by-step explanation:
Given:
Time taken for pump A to empty pool = 4 hour
Time taken together = 48 minutes = 48 / 60 = 4/5 hour
Find:
Time taken for pump B to empty pool
Computation:
Assume;
Time taken for pump B to empty pool = a
1/4 + 1/a = 1 / (4/5)
1/4 + 1/a = 5/4
1/a = 5/4 - 1/4
1/a = (5 - 1) / 4
1/a = 1
a = 1
Time taken for pump B to empty pool = 1 hour.
PLEASE HELP EASY MATH
Tomas needs lumber to make corner braces for a piece of furniture he is building. He cuts 4 feet from a board that is 8 feet long. With the wood he has left, Tomas makes 18 corner braces of equal size.
How many inches of wood does each brace use? - in
Answer: each brace is 2 & 2/3 inches long
=====================================================
Explanation:
"he cuts 4 feet from a board that's 8 feet long" means that he has 8-4 = 4 feet to work with. This converts to 4*12 = 48 inches.
Next, we cut that into 18 equal pieces
48/18 = 8/3 = 2 & 2/3
This is approximately 2.667 inches
TERCER TRIMESTRE SEGUNDO GRADO
DEL 7 DE JUNIO AL 18 DE JUNIO
4- Calcular la media, la mediana y la moda de la siguiente serie de numeros: 5, 3, 6, 5, 4, 5, 2, 8, 6,5,4,8,3,4,5,4,8,2
5.4.
Answer:
MEDIA: 4.8
MEDIANA: 5
MODA: 5
espero que te ayude :)
simplify my 5 multiply 6 - 60
Answer:
- 30 is the answer
Step-by-step explanation:
5 multiply 6 - 60
5 × 6 - 60
= 30 - 60
= - 30
Select the correct answer.
AB and BC form a right angle at point B. If A = (-3,-1) and B = (2, 4), what is the equation of BĆ?
O A x + 3y = 16
OB. 2x+y= 12
OC.-7x - 5y=-48
OD. 7x - 5y = 48
9514 1404 393
Answer:
x + y = 6 (or choice C, see comment)
Step-by-step explanation:
The equation of the line through point B and perpendicular to AB can be written as ...
(Bx -Ax)(x -Bx) +(By -Ay)(y -By) = 0 . . . . where A = (Ax, Ay) and B = (Bx, By)
(2 -(-3))(x -2) +(4 -(-1))(y -4) = 0
5x +5y -30 = 0
x + y = 6 . . . . . . reduce to standard form
__
Additional comment
None of the offered choices describes a line through point B. (See second attachment). We note that several of the lines go through the point (4, 4). The segment joining points (-3, -1) and (4, 4) will be perpendicular to the line -7x -5y = -48, answer choice C.
Please talk to your teacher about this question.
NEED HELP DUE IN 2 MINUTESS!!!!
Answer:
17.83 in
Step-by-step explanation:
2 x 3.14
= 6.28
112 ÷ 6.28= 17.8343949
Whole number is 17.83 in
x^(2)+y^(2)+14x+18y+114=0
i will give u brainliest and my eternal love
Answer:
(x+7)^2+(y+9)^2=16
Step-by-step explanation:
This is the equation written in standard form, I'm not sure if that's what you wanted.
What is (f⋅g)(x) ?
f(x)=x2−2x
g(x)=4x+1
Enter your answer in the box.
(f⋅g)(x)=
Answer:
[tex](f-g)(x) =x^2 -6x -1[/tex]
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
[tex]f(x) - g(x) = (x^2 - 2x) - (4x + 1)[/tex]
[tex]= x^2 -2x -4x -1\\=x^2 -6x -1[/tex]
el que me responda rápido le doy coronita cuanto es 99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99
Answer:
990
Step-by-step explanation:
99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99=990
Answer:
Answer:
990
Step-by-step explanation:
99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99=990
Step-by-step explanation:
El ingreso que perciben en un barrio de la Ciudad de Cuenca durante un día de trabajo los niños y adultos de una familia es: $3 los niños menores de 15 años y $5 los adultos. Si al día reúnen un total de $80 y asisten a trabajar 20 personas, ¿Cuántos de ellos serán niños y cuántos serán adultos? R= 10 niños y 10 adultos
Answer:
im sorry i took long im not the best at math but since 10 equals r im not sure what you need to know but i think its 3+5r=80 i hope this help
Step-by-step explanation:
Teresa received a $90 gift card for a coffee store. she used it in buying some coffee that cost her $8.21 per pound. After buying the coffee, she had $65.37 left on her card. how many pounds of coffee did she buy?
Answer:
3 Pounds of Coffee
Step-by-step explanation:
To find out how much she spent on the pounds of coffee, you would have to takeaway $65.37 away from the total of $90 which will give you $24.63, which is how much she has spent on the coffee. To find out how many pounds of coffee she bought, you would have to divide $24.63 by $8.21 giving you 3, which is how many pounds of coffee Teresa bought.
Much appreciated if this is marked as brainliest :)
Can someone please explain to me a easier way of understanding this please
Step-by-step explanation:
u have solve it by finding slope(m)
and substitute is general eq of straight line
y = mx + c
Answer:
y = 2x - 6
Step-by-step explanation:
These are actually pretty fun to do once you get the hang of it! Here are the steps!
The formula for slope intercept form is y=mx + b.
m is the slope and b is the y-intercept. Let's start with finding the y-intercept (also known as b).
To find the y-intercept, look at where the line crosses the y-axis. In your equation, the line crosses the y-axis at -6. Plug -6 in for b in the equation.
y = mx + (-6)
Now were going to find the slope. To find the slope, you need to find the rise over run. To start, first find a point on the graph where the line goes through an integer (just pick one of the blue dots). Then, count how many squares you go up or down, and how many you go to the left or right before you hit the next blue dot. Divide the rise over the run, and you have your slope! Here are the steps for the problem:
To get from one dot to another, you rise up 2 units, and you run to the right 1 unit. Plugging those integers into rise/run, you get 2/1 which simplifies to 2. That's your slope.
Now all we need to do is plug the slope into the formula, and you have your equation!
Answer: y = 2x - 6
A child's wading pool is 4 feet wide, 6 feet long, and 1 foot deep. how many gallons of water will fill the pool hold?
Answer:
180 gallons of water
Step-by-step explanation:
4×6×1=24
24×7.5=180
Hope this helps!
10)
X + 80
700
B) 8
A) 5
C) -10
D) 7
I
Answer:
x+80=70°(exterior alternate angles)
x=70-80
x=-10
Question 2 of 25
What do both of these functions have in common?
f(x) = |x-71-2
g(x) = 1.5 In (x - 2) +7
A. They have the same vertical shift
B. They have the same end behavior
C. They have the same vertical stretch
O D. They have the same horizontal translation
Answer:they have the same vertical stretch
Step-by-step explanation:
Find the slope of a line perpendicular to the line 3x – 2y = 5.
Answer:
2/3
Step-by-step explanation:
to the the slope of the perpendicular line we must first find the slope of line given in the problem. To do this we must transform this equation into the slope intercept format
The slope intercept form of a liner equation is:
Y = mx + b
Where m is slope and b is the y - intercept value.
solving the equation in the problem for y produces :
3x - 3x + 2y = -3x - 5
0 + 2y = 3x - 5
2y = - 3x - 5
2y = -3x - 5
2 2
y = - 3 x - 5
2. 2
Therefore the slope of this line is m = - 3
2
the slope of perpendicular line is the negative inverse of the slope of the line we are given,or
- 1
m
so for our problem the slope of a perpendicular line is - - 2 = 2
3. 3
The graph of y=h(x) is a line segment joining the points (1, -5) and (9,1).
Drag the endpoints of the segment below to graph y = h-'(x).
Answer:
[tex]h^{-1}(x) = \frac{4}{3}x + \frac{23}{3}[/tex]
Step-by-step explanation:
Given
Graph h:
[tex](x_1,y_1) = (1,-5)[/tex]
[tex](x_2,y_2) = (9,1)[/tex]
Required
Plot [tex]h^{-1}(x)[/tex]
First, calculate h(x)
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1--5}{9-1}[/tex]
[tex]m = \frac{6}{8}[/tex]
[tex]m = \frac{3}{4}[/tex]
The equation is:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{3}{4}(x - 1) -5[/tex]
[tex]y = \frac{3}{4}x - \frac{3}{4} -5[/tex]
[tex]y = \frac{3}{4}x + \frac{-3 - 20}{4}[/tex]
[tex]y = \frac{3}{4}x - \frac{23}{4}[/tex]
Next, calculate [tex]h^{-1}(x)[/tex]
Swap y and x
[tex]x = \frac{3}{4}y - \frac{23}{4}[/tex]
Solve for y
[tex]\frac{3}{4}y = x + \frac{23}{4}[/tex]
Multiply through by 4
[tex]3y = 4x + 23[/tex]
Divide through by 3
[tex]y = \frac{4}{3}x + \frac{23}{3}[/tex]
Replace y with [tex]h^{-1}(x)[/tex]
[tex]h^{-1}(x) = \frac{4}{3}x + \frac{23}{3}[/tex]
See attachment for graph