Answer:
-1/3Step-by-step explanation:
The standard from of equation of a line written in slope-intercept format is expressed as y = mx+c where c is the slope of the line and c is the y-intercept.
Given the equation of the line x+3y = 10, to get the slope of the line, we need write he equation in standard from first by making y the subject of the formula as shown;
[tex]x+3y = 10\\\\subtract\ x \ from \ both \ sides\\\\x+3y-x = 10 -x\\\\3y = -x+10\\\\Divide \ through\ by \ 3\\\\\frac{3y}{3} = -\frac{x}{3} +\frac{10}{3} \\\\[/tex]
[tex]y = -\frac{1}{3}(x) +\frac{10}{3} \\[/tex]
Comparing the resulting equation with y = mx+c, the slope 'm' of the equation is -1/3
The slope of the line is -1/3.
the correct option is D.
To find the slope of the line given by the equation x + 3y = 10, we need to rewrite it in slope-intercept form, which is y = mx + b, where m represents the slope.
Let's rearrange the equation to solve for y:
x + 3y = 10
3y = -x + 10
y = (-1/3)x + 10/3
Comparing this equation to the slope-intercept form, we can see that the coefficient of x (-1/3) represents the slope.
Therefore, the slope of the line is -1/3.
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Based on the image below, if you know that , find the following:
a) sin A
b) cos A
c) tan A
d) tan B
Answer:
A. Sine A = 4/5
B. Cos A = 3/5
C. Tan A = 4/3
D. Tan B = 3/4
Step-by-step explanation:
We'll begin by calculating the value of b in the attached photo.
This can be obtained as follow:
Cos B = 4/5
Cos B = Adjacent /Hypothenus
Adjacent = 4
Hypothenus = 5
Using pythagoras theory, the value of b can be obtained as follow:
b² = 5² – 4²
b² = 25 – 16
b² = 9
Take the square root of both side.
b = √9
b = 3
A. Determination of Sine A
Sine A =?
Opposite = 4
Hypothenus = 5
Sine A = Opposite /Hypothenus
Sine A = 4/5
B. Determination of Cos A
Cos A =?
Adjacent = 3
Hypothenus = 5
Cos A = Adjacent /Hypothenus
Cos A = 3/5
C. Determination of Tan A.
Tan A =?
Opposite = 4
Adjacent = 3
Tan A = Opposite /Adjacent
Tan A = 4/3
D. Determination of Tan B
Tan B =?
Opposite = 3
Adjacent = 4
Tan B = Opposite /Adjacent
Tan B = 3/4
Explain how to solve 3^x-4=6 using the change of base formula log base b of y equals log y over log b. include the solution for x in your answer. Round your answer to the nearest thousandth.
Answer:
x = log 10/log 3
Step-by-step explanation:
3^x - 4 = 6
3^x = 10
We take log base 3 of both sides since log_3 3^x is simply x.
log_3 3^x = log_3 10
x = log_3 10
We have an answer for x, but it is a log base 3. We want log base 10.
Now we use the change of base formula.
log_b y = log y/log b
x = log 10/log 3
Janice deposited $750 in a savings account that earns 3.5% simple interest. How much interest has Janice earned by the end of the first year? (1 point)
Answer:
$26.25
Step-by-step explanation:
We know that I = Prt where I = Interest, P = Principal, r = rate (as a decimal) and t = time (in years). Therefore:
I = 750 * 0.035 * 1 = $26.25
PLEASE HELP!!!!!! URGENT!!!!!!!!! ALGEBRA! Hannah, Yu, and Becky went to buy groceries together. All three of them bought pasta, noodles, and split peas. Hannah bought 3 packs of pasta, 10 packs of noodles, and 2 packs of split peas. Yu bought 5 packs of pasta, 12 packs of noodles, and 1 pack of split peas. Becky bought 3 packs of pasta, 15 packs of noodles, and 2 packs of split peas. Hannah, Yu, and Becky spent $8.41, $9.42, and $9.66 respectively on these items. What are the costs of a pack of pasta, a pack of noodles, and a pack of split peas? A) Pasta: $0.69 per pack, Noodles: $0.25 per pack, Split peas: $0.99 per pack B) Pasta: $1.09 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack C) Pasta: $0.99 per pack, Noodles: $0.25 per pack, Split peas: $1.47 per pack D) Pasta: $0.69 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack
Answer:
option d
sorry it took so long.
What part of the line does the midpoint identify?
The half-way coordinate between the end points.
The second quartile
The top part
The bottom quartile
Answer:
The half-way coordinate between the end points.
Step-by-step explanation:
The half-way coordinate between the end points.
Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2.
Answer:
See below
Step-by-step explanation:
Each point on the triangle moves to half its previous distance from P.
The shortest leg of a 30º-60º-90º triangle has a length of 6. Find the length of the other leg and the hypotenuse. Write your answer in simplest form. PLZ PLZ PLZ HELP I NEED THIS FOR MY GRADE I RATE 5/5 AND WILL NAME YOU THE BRAINLIEST!!!!!!
Answer:
[tex]leg=6\sqrt{3} \\\\hypotenuse=12[/tex]
Step-by-step explanation:
The equations for the 30°-60°-90° are as follows:
[tex]l=\sqrt{3}*s[/tex]
[tex]h=2*s[/tex]
l is the longer leg, s is the smaller leg, and h is the hypotenuse. Insert the known values and solve for the longer leg and the hypotenuse:
[tex]l=6\sqrt{3} \\h=12[/tex]
:Done
HELP i don’t know how to do this
Answer:
4a
Step-by-step explanation:
4a
the top and right are a-b, but you have to add the b’s back in, so really all sides are a
a+a+a+a=4a
Answer: 4a
Step-by-step explanation: perimeter is the length of all sides added together. Every length is given combine like variables and you will get 4a+2b-2b. 2b-2b is 0 which leaves you with 4a
Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%4, percent raise.
Which expression gives the total amount Harmony has earned in her first nnn years of her career?
Answer:
FV(n)=42,000(1.04)^n
Step-by-step explanation:
FV=PV(1+r/n)^nt
Where
FV=future value
PV=present value
r=interest rate
n=number of periods
t=time (years)
PV=42,000
r=4%=0.04
n=1
t=n
FV(n)=p(1+r/n)^nt
=42,000(1+0.04/1)^1*n
=420000(1+0.04)^n
=42,000(1.04)^n
FV(n)=42,000(1.04)^n
Answer:
42000(1-1.04^n/-0,04)
Step-by-step explanation:
what is
[tex] \frac{3}{5} [/tex]
of 15
Answer:
9
Step-by-step explanation:
3/5 * 15
Rewriting as
3 * 15/5
3 * 3
9
The word "of" tells us we need to multiply.
So 3/5 of 15 means the same thing as (3/5) · (15).
Think of the 15 as 15/1 so when multiplying,
we can cross-cancel the 5 and 15 to 1 and 3.
So we have (3/1) · (3/1) which is 9/1 or just 9.
multiply this decimals 1.02 x 0.286
in the equation x=c-b/a, find the value of x when c=10, b=2, and a=2
Answer:
9
Step-by-step explanation:
x = c - b/a
x = 10 - 2/2
x = 10 - 1
x = 9
Answer:
x = c - b (divided by) a
Step-by-step explanation:
x = 10 - 2over2
x = 10 - 1
x = 9
try 18/2 since that part is a fraction.
Given the probability histogram pictured for a discrete random variable X, what is μx?
Answer:
3.25
Step-by-step explanation:
μX = 2(0.3) + 3(0.2) + 4(0.4) + 5(0.1) = 3.3
The mean of the distribution represented by the histogram is 3.25
The mean is the product of the value of X and its corresponding probability (P(x)).
The mean can be expressed thus :
Mean = X × P(X)From the histogram :
Mean = (1 × 0.05) + (2 × 0.2) + (3 × 0.35) + (4 × 0.25) + (5 × 0.15)
Mean = 0.05 + 0.40 + 1.05 + 1.00 + 0.75 = 3.25
Therefore, the mean value of the distribution depicted by the histogram ls 3.25
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the volume of a solid come is 616cm^3. Find it's height if the base radius is 7cm
Answer:
height = 4cm
Step-by-step explanation:
volume = п r² h
п = 3.14 (aprox.)
r = radius
h = height
volume = 616cm³
then:
616 = 3.14 * 7² * h
616 = 3.14*49*h
616 = 153,86 * h
h = 616 / 153.86
h = 4
height = 4cm
Answer:
Your answer is
Step-by-step explanation:
If u multiply 616cm^3 multipied by 7 cm gives you the correct answer because volume multiplied by radius=height of that particular object.Hope this helps....
Have a nice day!!!!
there are how many times as many second in an hour as in a minute
Answer:
Step-by-step explanation:
1 hour=3600 sec
1 min=60 sec
Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12
más que el otro. ¿Cuánto ganan cada uno de ellos?
Answer:
Cada uno de ellos gana:
S/. 24
S/. 36
Step-by-step explanation:
Planteamiento:
a + b = 60
a = 12 + b
Desarrollo:
sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:
(12+b) + b = 60
2b + 12 = 60
2b = 60 - 12
2b = 48
b = 48/2
b = 24
de la segunda ecuación del planteamiento:
a = 12 + b
a = 12 + 24
a = 36
Check:
24 + 36 = 60
40 POINTS!! AND BRAINLIEST!! The equation of the line is Y=2.x- 1.8. Based on the graph which of the following are true?
(select all that apply)
A. If tony stays for 30 minutes in the record store it is likely her will spend $70
B. Each additional minute tony spends in the store is associated with an additional cost of $2.40
C. The correlation coefficient for the line of best fits 2.4
D. The line of best fit will have a positive correlation coefficient.
Answer:
The correct statment is B.
Step-by-step explanation:
A. is not correct: y = 2.4(30) - 1.8 does not equal 70...
B. Is correct because the slope is 2.4 From the equation
C. is not correct because the points have no 2.4 (maybe 2.2)? difference.
D. is not correct. the correlation isn't positive.
Please help, i’ve never been good at this.
Answer:
x=4, x=-10
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
As per Pythagorean theorem:
10² = (x+2)² + (x+4)²100 = x² + 4x + 4 + x² + 8x + 16100 = 2x² + 12x + 2080 = 2x² + 12x40 = x² + 6xx² + 6x - 40 = 0Solving we get positive root of:
x = 4Please please please please help
Answer:
14
Step-by-step explanation:
Answer: n=3+7+6
N=10+6
N=16
Step-by-step explanation:
Write each number in standard notation.
1.057 x 10^3
5.24 x 10^5
3 x 10^8
Answer:
1,057.
524,000.
300,000,000
I had $20.00 My Mom gave me $10.00. My Dad Gave me $50.00 My Aunt & Uncle gave me $100.00. I had another $5.00. How much did I have? I had $20.00 My Mom gave me $10.00. My Dad Gave me $50.00 My Aunt & Uncle gave me $100.00. I had another $5.00. How much did I have?
Answer:
you have $185 in total unless the aunt and uncle gave you 100 each, then your answer would be $285
Step-by-step explanation:
Answer:
0$
Step-by-step explanation:
simple
Identify the sample as biased or unbiased and describe its type. John wanted to know about the popularity of a particular movie. He surveyed 20% of the people in 5 different theaters.
Answer: unbiased; simple random sampling
Step-by-step explanation:
From the question, we are informed that John wanted to know about the popularity of a particular movie and that he surveyed 20% of the people in 5 different theaters.
This is an unbiased sample. This is because everybody at the theaters have an equal chance of being chosen by John.
Also, it's a simple random sampling. This is because a subset of the entire population is randomly selected.
What is 9x - 2 - 13x + 16 simplified ???
Answer:
Simplifying
9x + -2 + -13x + 16 = 0
Reorder the terms:
-2 + 16 + 9x + -13x = 0
Combine like terms: -2 + 16 = 14
14 + 9x + -13x = 0
Combine like terms: 9x + -13x = -4x
14 + -4x = 0
Solving
14 + -4x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + -4x = 0 + -14
Combine like terms: 14 + -14 = 0
0 + -4x = 0 + -14
-4x = 0 + -14
Combine like terms: 0 + -14 = -14
-4x = -14
Divide each side by '-4'.
x = 3.5
Simplifying
x = 3.5
Step-by-step explanation:
Answer:
-4x+14
Step-by-step explanation:
Collect "Like Terms" (9x and -13) = -4x
-4x - 2 + 16= -4x + 14
What is the real part of 4 - 5i
Answer:
5i is an imaginary number
In these questions it contains two parts
real and imaginary parts . thus answer to these questions is 5i
Explanation
Complex Number is the number which contains both real and imaginary numbers i is the specified elements. 5i is an imaginary parts number and 4 is real part number.
Thus we conclude that above statement for the question is correct.
To know more about the complex number
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Caculate the value of x on the figure below
Answer:
x = 58
Step-by-step explanation:
The angle at the centre is twice the angle at the circumference subtended by the same arc, thus
x + 62 = 2(x + 2)
x + 62 = 2x + 4 ( subtract x from both sides )
62 = x + 4 ( subtract 4 from both sides )
58 = x
Pls help me... Need proper working .. Answer all questions and explain a bit, a bit..... OK?if anything that you don't understand.... Ask me.
Step-by-step explanation:
for no .5.no.6...you must understand that if u want to get speed,distance must multiple with time
what the answer???
11x10-12/3
Answer:
106
Step-by-step explanation:
12 divided by three subtracted by 11 Multiplied by 10
11 times 10 is 110
12 divided by 3 is 4
110-4= 106
Your answer to 11 x 10 - 12/3=106
HELP ILL MARK YOU BRANLIEST!!!! 40POINTS!! What is the sign of the product (3)(−25)(7)(−24)? Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative
Answer:
the sign is positive
Step-by-step explanation:
to negatives make a positive.
and that last point you added is wrong two positives equals a positive.
different signs= negative
same signs=positive
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each angle measure in degrees with its equivalent measure in radians.
Answer:
315° = 7π/4 rad80° = 4π/9 rad225° = 5π/4 rad324° = 9π/5 radStep-by-step explanation:
Find the attachment in the diagram below,
In order to get the right match, we will use the conversion
180° = πrad
- For angle 315°;
If 180° = πrad
315° = a
Cross multiplying
180a = 315π rad
a = 315π rad/180
a = 63π/36 rad
a = 7π/4 rad
Hence 315° = 7π/4 rad
- For angle 80°;
If 180° = πrad
80° = b
Cross multiplying
180b = 80π rad
b = 80π rad/180
b = 8π/18 rad
b = 4π/9 rad
Hence, 80° = 4π/9 rad
- For angle 225°;
If 180° = πrad
225° = c
Cross multiplying
180c = 225π rad
c = 225π rad/180
c = 15π/12 rad
c = 5π/4 rad
Hence, 225° = 5π/4 rad
- For angle 324°;
If 180° = πrad
324° = d
Cross multiplying
180d = 8324π rad
d = 324π rad/180
d = 27π/15 rad
d = 9π/5 rad
Hence, 324° = 9π/5 rad
Quadrilateral ABCD is inscribed in circle P as shown. Which statement is necessarily true?
Answer:
B. m∠A + m∠C = m∠B + m∠D
Step-by-step explanation:
To inscribe a quadrilateral in a circle, the sums of its opposite angles must be equal (each sum of its opposite angles equals 180 °)
