Answer:
y = 5
Step-by-step explanation:
3y - 2 = 13
We are solving for y, so we want to isolate it.
Add 2 to both sides.
3y = 15
Continue isolating y by dividing both sides by 3.
y = 5
Check your answer by plugging it back into the original equation.
3y - 2 = 13
3(5) - 2 = 13
Multiply.
15 - 2 = 13
Subtract.
13 = 13
Your answer is correct.
Hope this helps!
Answer:
y = 5
Step-by-step explanation:
Get y by itself:
3y - 2 = 13
+2 +2
3y = 15
Divide by 3:
3y = 13
÷ 3 ÷ 3
y = 5
Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE
A.) -2√8/7
B.) -√8
C.) √8
D.) 2√8/7
Answer:
D
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi[/tex]
And we want to find the value of tan(2x).
Note that since x is between π/2 and π, it is in QII.
In QII, cosine and tangent are negative and only sine is positive.
We can rewrite our expression as:
[tex]\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}[/tex]
Using double angle identities:
[tex]\displaystyle \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}[/tex]
Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(x) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:
[tex]\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}[/tex]
So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.
From the above information, substitute in appropriate values. And since x is in QII, cosine and tangent will be negative while sine will be positive. Hence:
[tex]\displaystyle \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}[/tex]Simplify:
[tex]\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}[/tex]
Evaluate:
[tex]\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}[/tex]
The final answer is positive, so we can eliminate A and B.
We can simplify D to:
[tex]\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}[/tex]
So, our answer is D.
Use the function shown in the table to answer the questions below .
Answer:
a) -6
b) 3
c) Y = -6x + 3
Step-by-step explanation:
Pick two points and find rise/run = slope
rise y1 - y2 = 9 - 3 = 6
run x1 - x2 = -1 - 0 = -1
slope = 6 / -1 = -6
The y intercept is where x = 0 which is given in the table (0,3) so
y intercept = 3
Point slope form is y = mx + b , so
y = -6x + 3
Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these events from least likely to most likely
Answer:
The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Possible outcomes:
Black - Black
Black - Blue
Blue - Black
Blue - Blue
Probability of each outcome:
Black-Black:
14 out of 20, and then 9 out of 12. So
[tex]P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}[/tex]
Black-Blue:
14 out of 20, then 3 out of 12. So
[tex]P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}[/tex]
Less likely than black-black.
Blue - Black:
6 out of 20, then 9 out of 12. SO
[tex]P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}[/tex]
More likely than black-blue, less likely than black-black.
Blue - Blue
6 out of 20, then 3 out of 12
[tex]P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}[/tex]
Least likely of the outcomes.
List these events from least likely to most likely:
The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black
Work out the size of angle X ?
Answer:
x = 121°
Step-by-step explanation:
∠ 1 + 115° = 180°
∠ 1 = 180 - 115
∠ 1 = 65°
∠ 2 + 304° = 360°
∠2 = 360 - 304
∠ 2 = 56°
∠ 1 + ∠ 2 + ∠ 3 = 180°
65° + 56 ° + ∠ 3 = 180°
∠3 = 180 - 65 - 56
∠ 3 = 59°
∠3 + x = 180°
59° + x = 180°
x = 180 - 59
x = 121 °
how to simplify (a+3b)+3(4a+b)
Answer:
13a + 6b
Step-by-step explanation:
Given
(a + 3b) + 3(4a + b) ← distribute parenthesis
= a + 3b + 12a + 3b ← collect like terms
= 13a + 6b
Answer: 13a+3b+18
Step-by-step explanation:
First distribute the 3 to 4a+b
Then you get 12a+18
Add 12a+18 with a+3b
Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.
A. -12/5
B. -4
C. 4
Answer:
C. 4 is the right answer!
Step-by-step explanation:
Complete the table for the given rule.
Rule: y=x+3
Answer:
1
5
2
Step-by-step explanation:
4-3=1
8-3=5
5-3=2
Hope this helps! :)
Please help I’ll give brainliest
Answer:
3675
Step-by-step explanation:
3500x.05 (5%)=175 GCT
3500+175=3675.
Use the expression 5(6 + 4x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points)
Answer:
6 and 4
Step-by-step explanation:
Answer:
Part A: 4 and x are factors of 4x
Part B: 6 and 4
Part C: 4
Step-by-step explanation:
Find the value of x
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(30)=\frac{7}{x}[/tex]
Inverse operations,
[tex]x=\frac{7}{sin(30)}[/tex]
Simplify,
[tex]x=14[/tex]
PLSS HELP NEED ANSWER RIGHT NOW BEFORE THE TIME ENDS!
THANK YOU!!
Answer:
third box
first box
second box
Step-by-step explanation:
1/3x + 1/4 -2/3x; combine like terms
-1/3x + 1/4 (third box)
1/3x + 1/4 + 2/3x; combine like terms
(3/3)x +1/4 (first box)
3/3 is 1, so we don't have to write it
2/3 + 3/4x -1/3; combine like terms
1/3 + 3/4x (swap, and is second box)
Question 1
Researchers want to find a way to increase the growth rate of corn so it can be harvested more often. To test the effectiveness of a new type of spray fertilizer, plants grown from 200 corn seeds were divided equally into two groups: a treatment group and a control group. The treatment group was frequently sprayed with the new type of fertilizer. The growth in centimeters of each corn plant was noted before and after the treatment.
The results showed that the mean change in the growth rate by the treatment group is 8 points more than that of the control group. To test whether the results could be explained by random chance, researchers created a table that summarizes the results of 1,000 re-randomizations of the data with differences of means rounded to the nearest 2 points.
Consider the significance level to be set at 5%, so results less than 5% can be considered statistically significant.
Part B
Question
Which statement is true about the result considering a significance level of 5%?
The result is not statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does not increase the growth rate.
The result is not statistically significant, which implies that this result could be due to random chance.
Answer:
So what are you asking me to do
Answer:
A.
Step-by-step explanation:
Calcula el porcentaje de sal de mesa o cloruro de sodio que contiene una disolución que se preparó con 5 gramos de cloruro de sodio y 95 gramos de agua.
Answer:
inglese please
Step-by-step explanation:
can someone help me with this problem!
C. -1
Hope this helps! :)
______________
Answer:
-1
Step-by-step explanation:
Simplify the real and imaginary parts of the expression. That’s probably as simple as i can get it.
Hope this helps! :)
Someone I need help plzzz
Answer:
sorry this question is confusing
Step-by-step explanation:
What is the length of bc in the right triangle below?
4. Meg uses 1/2 of her supply of raisins
to make trail
mix and 3/10 of her supply of raisins to make
cookies. If Meg uses 8 pounds of raisins, how many
pounds of raising are in her supply
Answer:
10 pounds
Step-by-step explanation:
Let x represent the amount of raisins Meg have in her supply. She uses 1/2 of her supply of raisins to make trail mix and 3/10 of her supply of raisins to make cookies which gives a total of 8 pounds of raisins being used. To find the amount of raisins she has in her supply, we use the equation:
(1/2)x + (3/10)x = 8
multiply through by 20:
(1/2)x * 20 + (3/10)x * 20 = 8 * 20
10x + 6x = 160
16x = 160
Divide both sides of the equation by 16:
16x/16 = 160/16
x = 10 pounds
Therefore she have 10 pounds of raisins in her supply
PLEASE HELP ME. this is due TONIGHT and i need this done so i have time for other assignments. thank you so much
explaining your answer = brainliest.
the area of this parallelogram is 504 square centimeters.
y = ___ cm
Answer:
28cm
Step-by-step explanation:
Area of a parallelogram equals the base length, which is y cm, multiplied by the height, which is 18cm.
So
Area= 504cm
y cm (base) x 18 cm (height) = 504cm^2 (area)
y cm = 504cm^2 / 18cm
y cm = 28cm
Answer:
28 cm
Step-by-step explanation:
Just use some good ol' algebra:
18y = 504
y = 28 cm
A parallelogram is basically a wonky rectangle, so it uses the same formula for area.
The triangles below are similar. Find the length of ED.
Answer:
ED = 6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{ED}{BA}[/tex] = [tex]\frac{EF}{BC}[/tex] , substitute values
[tex]\frac{ED}{9}[/tex] = [tex]\frac{12}{18}[/tex] ( cross- multiply )
18 ED = 108 ( divide both sides by 18 )
ED = 6
Can someone help me? It's urgent and thank you!
Put either A,B,C,D,E in r= and also put A,B,C,D,E in the find the 6th term put whatever your answer's lead you too
number a is too low so we will work with c after all I put that and got it eight
Your answer is C. - 972
I found 3 by dividing 36 by 12. I hope the image is self- explanatory.
Ms. Cortez was building doll houses to sell at a toy store. She had to spend $184 on tools before she could begin to work. Each doll house cast $17 to make. She planned to sell the doll houses for $29 each. How many doll houses did she need to sell to make a profit?
Answer:
A minimum of 16 dollhouses
Step-by-step explanation:
profit on each dollhouse= sp-cp= 29-17= $12
if we divide 184 by 12 we get abt 15.33, which means, she has to sell more than 15 Dollhouses to make a profit.
so the minimum number of dollhouses to be sold are 16
A local water park has two types of season passes. Plan A costs a one-time fee of $144 for admission plus $10 for parking every trip. Plan B costs a one-time fee of $48 for parking plus $22 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
The person must make 8 trips for Plan A and B to be equal.
Plan A will cost $144 and then $10 for every parking. Assuming the number of trips is x, the expression would be:
= One time fee + (Fee per parking x number of trips)
= 144 + 10x
Plan B will cost $48 then parking of $22. Expression will be:
= 48 + 22x
To find out the number of trips where the cost will be equal, equate the two:
144 + 10x = 48 + 22x
144 - 48 = 22x - 10x
96 = 12x
x = 96 / 12
x = 8 trips
The person must therefore make 8 trips for Plan A and B to be equal.
Find out more at https://brainly.com/question/2130743.
Round to the nearest cent or whole number as needed. How many males had fatal car accidents last year if there were 1761 fatal car accidents and about 42% of the fatalities were male?
Answer:
740
Step-by-step explanation:
42% of 1761 = 0.42 * 1761 = 739.62
Answer: 740
Find the range for the following list of values:
1, 2, 4, 7
Answer:
below
Step-by-step explanation:
Rage =
highest value - lowest value
= 7 - 1
=6
Evaluate the expression c5 when c = 3.
Replace c with 3:
3^5 = 3 x 3 x 3 x 3 x 3 = 243
The answer is 243
Answer:
15
Step-by-step explanation:
c5
3(5)
3 x 5
15
Please give me the answer and tell me how you solved it
Answer:
6x-3
Step-by-step explanation:
that is the procedure above
Step-by-step explanation:
5+4X+2x-8
=6x-3
answer is third option
At a middle school, 30% of students buy lunch in the cafeteria and the remaining students bring lunch from home. A spinner with 10 equal-sized sections numbered 0-9 will be used to simulate the lunch trend. How can you design a simulation to guess whether the next 20 students buy lunch or bring lunch from home?
A:Assign the numbers 0–3 to represent students who buy lunch and the numbers 4–9 to represent students who bring lunch from home. Spin the spinner 20 times and count how many spins are between 0–3 and how many are between 4–9.
B:Assign the numbers 0–2 to represent students who buy lunch and the numbers 3–9 to represent students who bring lunch from home. Spin the spinner 10 times and count how many spins are between 0–1 and how many are between 4–6, then multiply the counts by 2.
C:Assign the numbers 0–2 to represent students who buy lunch and the numbers 3–9 to represent students who bring lunch from home. Spin the spinner 20 times and count how many spins are between 0–2 and how many are between 4–9.
D:Assign the numbers 0–3 to represent students who buy lunch and the numbers 4–9 to represent students who bring lunch from home. Spin the spinner 10 times and count how many spins are between 0–3 and how many are between 4–9.
Answer:
B
Step-by-step explanation:
I'm pretty confident that it is B
What is the slope of the line represented by the equation y=-1/2-5x
Answer:
m = -5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify
y = -1/2 - 5x
Compare:
y-intercept b = -1/2
slope m = -5
Answer:
The slope is -5 and the y intercept is -1/2
Step-by-step explanation:
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -5x-1/2
The slope is -5 and the y intercept is -1/2
Colin and Dan win some money and share it in the ratio 4:5. Colin gets £52. How much did they win in total?
Answer:
$65
Step-by-step explanation:
Collin gets 4x dollars which equals 52, so 4x = 52
Dan gets 5x dollars which equals y (the answer). solve for x = 13. 5 • 13 = 65.
Find the value of x.
A. 12
B. 5
C. 16
D. 4
Answer:
According to intersecting chard theorem:-
[tex]12(x)=8(x+2)[/tex]
[tex]12x=8x+16[/tex]
[tex]12x-8x=16[/tex]
[tex]4x=16[/tex]
[tex]x=16/4[/tex]
[tex]x=4[/tex]
So, your answer is D) 4
-------------------------------
hope this helps you!!
The required value of the x is 4 for the given circle. Option D is correct.
A figure is shown of a circle with two intersecting cords fractions 12+x and x+2+8. The value of the x is to determine.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²,
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
The chords of the circle is the lines that bisect the circles in two parts, Longest chord of the circle is the Diameter.
Now.
x+2/x=8/12
12x = 8x+16
12x-8x=16
4x = 16
x = 4
Thus the required value of x is 4 for a given circle.
Learn more about circle here:
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