Answer: 0; -2
Step-by-step explanation:
Data: y-intercept=x and slope=x
Equation=y=-2
Only step, Point out the y-intercept and slope
-2=y-intercept
0=slope
Reason: Since there is no visible slope, the placeholder would be 0 therefore the slope would be 0, -2 is the only number left so that means the only number that can be y-intercept is -2.
That is why the slope is 0 and the y-intercept is -2
I hope this helps!
Type the correct answer in the box. Use numerals instead of words. Consider the logarithmic function f(x)=log^10(x) The values of f(50) rounded to the nearest hundredth is____
Answer:
1.70
Step-by-step explanation:
Logarithmic functions are the inverses of exponential functions. Hence, exponential functions can be expressed in logarithmic form whereas logarithmic function can be expressed in exponential form. Since log is a function, it is most correctly written as log.
Given that f(x) = log₁₀(x)
To find the value of f(50), we substitute x to be 50 in the logarithm function and solve:
f(50) = log₁₀(50)
f(50) = log₁₀(5 * 10) = log₁₀(5) + log₁₀(10)
f(50) = 1 + log₁₀(5) = 1 + 0.70
f(50) = 1.70
4. Let g(x) = 2x and h(x) = x2 + 4.
Evaluate (hg)(-2).
20
-16
16
-12
Step-by-step explanation:
everything can be found in the picture
The banquet room is being carpeted. A floor plan of the room is shown below. Each unit represents 1 yard. The carpet costs $23.50 per square yard. How much will it cost to carpet the room?
Answer:
144.84
Step-by-step explanation:
Answer:
No solution is possible from the information provided.
Step-by-step explanation:
"A floor plan of the room is shown below. "
You failed to provide the floor plan so it is not possible to answer your question.
Apply the distributive property to create an equivalent expression. 12(2a - 6b+ 8) = 2 1 (2a−6b+8)
Answer:
a+4=11b
Step-by-step explanation:
Distributive property in mathematics means to multiply the sum by a number of two or more add-ons will provide the same result that each add-on multiplies by a single number and then together add the products.
for example a( b+c) = ab+ac
Therefore, applying distributive property in asked eapression
12(2a - 6b+ 8) = 21(2a−6b+8)
24a+72b+96 = 42a-126b+168
198b=18a+72
9a +36=99b
3a+12=33b
a+4=11b
Solve the system of equations 7x+3y=-37x+3y=−3 and 3x+y=13x+y=1 by combining the equations.
Answer:
ummmmmm
Step-by-step explanation:
I don't know
Solve the triangle. Round your answers to the nearest tenth. Law of sines 6 A. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=16 c = 16 B. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=17 c = 17 C. M∠C=34 m ∠ C = 34 , b=22 b = 22 , c=17 c = 17 D. M∠C=34 m ∠ C = 34 , b=27.9 b = 27.9 , c=16 c = 16
Answer:
[tex]A = 43.0^o[/tex]
[tex]B = 55.0^o[/tex]
[tex]BC = 20.0[/tex]
Step-by-step explanation:
I will solve this question with the attached triangle
From the attachment, we have:
[tex]\angle C =82^o[/tex]
[tex]AB = 29[/tex]
[tex]AC = 24[/tex]
Required
Solve the triangle
First, we calculate [tex]\angle B[/tex] using sine law:
[tex]\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}[/tex]
This gives:
[tex]\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}[/tex]
[tex]\frac{24}{\sin(B)} = \frac{29}{0.9903}[/tex]
Cross multiply
[tex]\sin(B) * 29 = 24 * 0.9903[/tex]
[tex]\sin(B) * 29 = 23.7672[/tex]
Divide both sides by 29
[tex]\sin(B) = 0.8196[/tex]
Take arcsin of both sides
[tex]B = \sin^{-1}(0.8196)[/tex]
[tex]B = 55.0^o[/tex]
Next, calculate [tex]\angle A[/tex] using:
[tex]A + B + C = 180^o[/tex] --- angles in a triangle
[tex]A + 55^o + 82^o = 180^o[/tex]
Collect like terms
[tex]A = 180^o-55.0^o - 82^o[/tex]
[tex]A = 43.0^o[/tex]
Next, calculate BC using sine laws
[tex]\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}[/tex]
This gives:
[tex]\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}[/tex]
[tex]\frac{BC}{0.6820} = \frac{29}{0.9903}[/tex]
Make BC the subject
[tex]BC = \frac{29*0.6820}{0.9903}[/tex]
[tex]BC = 20.0[/tex]
2n 3 + 4n 2 - 7 and -n 3 + 8n - 9
Answer:
7 n and -4 I hope it will help you please follow me
Um terreno retangular possui o comprimento cinco vezes maior que a largura. Sabendo que o perímetro desse terreno é igual a 180 metros, a largura e o comprimento medem, respectivamente: * 30 m e 150 m 75 m e 15 m 15 m e 75 m 150 m e 30 m 90 m e 90 m
Responder:
15 m e 75 m
Explicação passo a passo:
Deixar :
Largura = x
Comprimento = 5x
Perímetro = 180
Já o terreno tem uma forma retangular; usamos a relação;
Perímetro = 2 (comprimento + largura)
180 = 2 (5x + x)
180 = 2 (6x)
180 = 12x
180/12 = x
15 = x
Largura = x = 15 metros
Comprimento = 5x = 15 * 5 = 75 metros
Medida de largura e comprimento, respectivamente:
15 m e 75 m
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x = 63.8°
Step-by-step explanation:
[tex]tan x = \frac{opposite}{adjacent} \\\\tan x = \frac{5.9}{2.9}\\\\x= tan^{-1} (\frac{59}{29})\\\\x = 63.82 = 63.8[/tex]
The measure of the angle [x] is equivalent to 26.6°.
What is triangle? What is similarity of triangles?A triangle is a polygon with three edges and three vertices. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.If two triangles are similar, then the ratio of their corresponding angles and sides are in same proportion.Given is a triangle ΔPON as shown in the image.
From the triangle ΔPON, we can write -
tan (x°) = ON/OP
tan (x°) = (5.9/2.9)
tan (x°) = (59/29)
tan (x°) = 2.1
x° = tan⁻¹ (2.1)
x° = 26.6°
Therefore, the measure of the angle [x] is equivalent to 26.6°.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
Find the measurements of ZBOC.
A
5xº
A
B
(2x+20)°
C
O ZBOC= 40
O ZBOC = 10
O ZBOC= 50°
O ZBOC= 90°
Answer:
∠ BOC = 40°
Step-by-step explanation:
∠ AOC = 90° , then
5x + 2x + 20 = 90
7x + 20 = 90 ( subtract 20 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Then
∠ BOC = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°
Can someone please help me out ~ASAP~.
Suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60degrees. What is the length of the third side of the triangle?
Answer:
A) 2
Step-by-step explanation:
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
sin(A)/a=sin(B)/b=sin(C)/c
Substitute the known values into the law of sines to find a.
sin(60)/a=sin(60)/2
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer: you're screwed dude. i had trouble with that two. you should pack up your stuff and run away before your mom finds out that you failed.
Step-by-step explanation:
Answer:
[tex]\frac{3}{4}[/tex] liter
Step-by-step explanation:
Initial amount of milk = 2 litersUsed in the morning = [tex]\frac{1}{2}[/tex] literMilk left = 2 liters - [tex]\frac{1}{2}[/tex] liter = [tex]1\frac{1}{2}[/tex] liters[tex]1\frac{1}{2}[/tex] liters used in half: [tex]1\frac{1}{2}[/tex] : 2= 3/2 :2 = 3/4 liter
Arwen has half as many pens as Adrienne. Adrienne gives Arwen 3 pens, but still has 6 more than
Arwen. How many pens did Arwen have originally?
Which expression is equivalent to √900f^6/100g^4
Answer:
A
Step-by-step explanation:
c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²
and not 30f something.
the best answer I see is correct is a.
Evaluate the following expression. You should do this problem without a calculator. log4 4 A. 4 B. C. 8 D. 1 SUBMIT
Given:
The given expression is:
[tex]\log_44[/tex]
To find:
The simplified value for the given expression.
Solution:
According to the property of logarithm,
[tex]log_aa=1[/tex]
We have,
[tex]\log_44[/tex]
Here, the base of the logarithm is 4 and the value inside the log is also 4, since these two values are same therefore the value of this expression is 1 by using the above property of logarithm.
[tex]\log_44=1[/tex]
Hence, the correct option is D.
By evaluating log4 4 without a calculator, we discover that it is equal to 1.
x²+y²=2
xy=1
x+y= ?
Answer:
2 or -2
Step-by-step explanation:
x²+y²=2
(x+y)²-2xy=2
(x+y)²=4
x+y=±2
I need help with this one
Answer:
8
Step-by-step explanation:
7779.949783~7779.94978
Answer:
The missing digit is 8
Step-by-step explanation:
An educated guess, but i'm pretty sure it's right
Please help me ASAP!!!
Answer:
x = 25
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
2x+10 + 4x+20 = 180
Combine like terms
6x+30 = 180
Subtract 30 from each side
6x+30-30 = 180-30
6x = 150
Divide by 6
6x/6 = 150/6
x=25
What is the sale price of crocs which regularly cost $35, but now are 30% off
Answer:24.5
Step-by-step explanation:30% of 35 is 10.5. To find the 30% off- you multiply 35 times 0.3 which is 10.5. Then you subtract the 10.5 from 35 for the total cost. 35-10.5=24.50
Answer:
the answer is 24.5
First you multiply 35 x 0.3 = 10.5, then subtract 10.5, 35-10= 24.5
Which in total the answer is 24.5
Please help me with this question I will give 20 points
Answer:
Step-by-step explanation:
Which of the following values of t will result in a true statement when substituted into the given equation?
1/2 t - 4 (2 + t) = 20
A. t = 8
B. t = -8
C. t = 11
D. t = -12
Answer: t=-8
Step-by-step explanation:
1/2t-4(2+t)=20 then multiplied by two so t-16-8t=40 -7t=56 then divide -7 by 56 and you will get your answer t=-8
can someone explain and answer this for me??
PLEASE HELP MEE!!
Shawntae has 21 coins, a combination of nickels and dimes. The total value of her coins is $1.70.
How many of each coin does Shawntae have?
a. Define the variables and then write a system of equations that represent the situation.
(2 points)
b. Solve the system using either the substitution or elimination method. Show your work.
2 points)
C. In a complete sentence, how many nickels and how many dimes does Shawntae have?
(2 points)
Answer:b im not sure
Step-by-step explanation:
ur welcome .
By using substitution method, the number of nickels is 8 and the number of dimes is 13.
What is substitution method?The substitution method is one of the algebraic methods to solve simultaneous linear equations. It involves substituting the value of any one of the variables from one equation into the other equation.
Representing the nickels as n and the dimes as d, and knowing that a nickel is 5 cents and a dime is 10 cents, we can write two equations from the given data.
n + d = 21
5n + 10d = 170
We use the first equation to derive a value for n.
n + d = 21
Subtract d from each side.
n + d - d = 21 - d
n = 21 - d.........................(1)
We now simplify the second equation by dividing all terms by 5.
5n + 10d = 170
[tex]\frac{5n}{5} +\frac{10d}{5} =\frac{170}{5}[/tex]
n + 2d = 24
substitute n = 21 - d in above equation
(21 - d) + 2d = 24
21 -d +2d = 24
21 + d = 24
d = 24 - 21
d = 13
n = 21 - d
n = 21 - 13
n = 8
Thus, the number of nickels is 8 and the number of dimes is 13.
Find out more information about substitution method here:
https://brainly.com/question/14619835
#SPJ2
Find the measure of Angle ADE
Answer:
30°
Step-by-step explanation:
because the sum of all interior angles in a triangle is 180 degrees
180°= ∡ADE+∡DAE+∡AED
∡ADE = 180°-∡DAE -∡AED
because the diagonals are perpendicular so they form 90° angles, and ∡BRC≅∡AED(vertical angles)
∡AED =90
To find ∡DAE we need to find the value of y
11y+2 =90
11y =90-2
y=88/11
y=8
∡DAE=7y+4=7 ·8 +4= 56+4 =60°
now we know what we need to find ∡ADE
∡ADE = 180°-∡DAE -∡AED
∡ADE = 180°-60° -90°
∡ADE = 30°
In circle F with m \angle EFG= 122m∠EFG=122 and EF=16EF=16 units, find the length of arc EG. Round to the nearest hundredth.
Given:
In circle F, [tex]m\angle EFG=122^\circ,\ EF=16[/tex] units.
To find:
The length of arc EG.
Solution:
It is given that, [tex]m\angle EFG=122^\circ,\ EF=16[/tex] units. It means the central angle of arc EG is 122 degrees and the radius of the circle F is 16 units.
Formula for arc length is:
[tex]s=2\pi r\times \dfrac{\theta}{360^\circ }[/tex]
Where, r is the radius and [tex]\theta [/tex] is the central angle in degrees.
Putting [tex]r=16,\ \theta=122^\circ,\ \pi=3.14[/tex], we get
[tex]s=2(3.14)(16)\times \dfrac{122^\circ}{360^\circ }[/tex]
[tex]s=100.48\times \dfrac{61}{180}[/tex]
[tex]s=34.0515556[/tex]
[tex]s\approx 34.05[/tex]
Therefore, the length of arc EG is 34.05 units.
What is the solution to the equation -5p = 24-p?
Op= -6
O p= - 27
Op
O p= 4
O p=
24
25
Answer:
p = -6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-5p = 24 - p
Step 2: Solve for p
[Addition Property of Equality] Add p on both sides: -4p = 24[Division Property of Equality] Divide -4 on both sides: p = -6howdy!!
yr answer is A. -6!!!!
goodluck!!! <33
log3 x+log3 (x+30)=log3 64
Answer:
x = 2
Step-by-step explanation:
[tex] log_{3}x(x+ 30) = log_{3}64 \\ x(x + 30) = 64 \\ {x}^{2} + 30x - 64 = 0 \\ x = 2 \: or \: x = - 32[/tex]
-32 is rejected because in logarithms you cannot use negative value so x=2
Solve for z:−8(z+4)=−7(z+−4)+−3
Let's solve your equation step-by-step.
−8(z+4)=−7(z+−4)+−3
Step 1: Simplify both sides of the equation.
-8z-32=-7z+25
Step 2: Add 7z to both sides.
-z-32=25
Step 3: Add 32 to both sides.
-z=57
Answer:-57
Step-by-step explanation:
-8(z+4) = -7(z+-4)+-3
-8z-32= -7z+28-3
-8z-32=-7z+25
-57=z
How much is
of 1/4 of 1 1/3
The product of the two given fractions is 1/12.
Given that, 1/4 of 1/3.
The product of two fractions is the product of the numerators and the product of the denominators.
Product of two fractions = Product of their numerators / Product of their denominators
1/4 × 1/3
= (1×1)/(4×3)
= 1/12
Therefore, the product of the two given fractions is 1/12.
To learn more about the product of two fractions visit:
https://brainly.com/question/7335118.
#SPJ1
What is the simplified expression for 2(x-5)?
2x
-10x
2x-10
2x+5
Answer:
2x-10
Step-by-step explanation:
2(x) - 2(5) = 2x - 10