Answer:
[tex]\boxed{\sf{z < -2}}[/tex]Step-by-step explanation:
To solve for z, isolate it on one side of the equation.
-5z>10First, multiply by -1 from both sides.
⇒ (-5z)(-1)<10(-1)
Solve.
Multiply the numbers from left to right.
⇒ 10(-1)=(-10)
Rewrite the problem down.
⇒ 5z<-10
Then, you divide by 5 from both sides.
⇒ 5z/5<-10/5
Solve.
Divide the numbers from left to right.
⇒ -10/5=-2
[tex]\boxed{\sf{z < -2}}[/tex]
Therefore, the correct answer is z<-2.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
z > -2
Step-by-step explanation:
Given inequality: -5z > 10
To determine the simplified inequality, we need to isolate "z". Divide -5 both sides to isolate the variable "z".
⇒ -5z > 10
⇒ -5z/-5 > 10/-5
Always remember that if you are dividing by a negative number, the inequality sign flips over.
⇒ z < -2
Thus, the simplified inequality is z < -2.
The graph of a logarithmic function is shown below.
On a coordinate plane, a curve starts in quadrant 3 and curves up in to the first quadrant. The curve starts at (negative 2, negative 2) and approaches y = 2 in quadrant 1.
What is the domain of the function?
x > –2
x > 0
x < 2
all real numbers
Answer:
x > -2.
Step-by-step explanation:
Starts at x = -2 then carries on without bounds.
Answer:
x > –2
Step-by-step explanation:
The answer above is correct.
Find the area of the shape shown below.
Answer:
12 cm²
Step-by-step explanation:
Area of triangle: bh/2 = (2)(3)/2 = 3
Area of square: bh = (2)(3) = 6
Total area of the shape = 2 triangles + 1 square
Total area = 2(3) + 6 = 12 cm²
I hope this helps!
Answer:
12
Step-by-step explanation:
You can find the area of the shape 2 different ways.
I'll show you both ways.
First Way: find the area of each individual shape that makes it up then add them together
We can find the area by finding the area of the rectangle and then the two triangles and then adding the two multiples together
Area of a rectangle = length × width
Length = 3 and width = 2
So area = 3 × 2 = 6
Now to find the area of the triangles
Area of a triangle = 1/2bh
Where b = base length and h = height
The base length is 2 and the height is 3
So area = 1/2 × 2 × 3 = 3
There are two triangles and they both have the same dimensions
So the area of both triangles = 2 × 3 = 6
Finally we add the areas together to get the total area
Total Area = 6 + 6 = 12cm²
Second way : Use the area of a trapezoid formula:
The shape shown is a trapezoid so we could also use the area of a trapezoid formula.
Formula : [tex]A=\frac{a+b}{2} h[/tex]
where a and b = base lengths and h = height
The base lengths appear to be 2 and 6 and the height is 3
So a = 2 , b = 6 and h = 3
Which means [tex]A=\frac{2+6}{2} 3[/tex]
Simplify addition
[tex]A=\frac{8}{2} 3[/tex]
simplify division
A = (4)3
Then multiply
A = 12cm²
whats -2( 20x + 2) = -36
Answer:
[tex]x= \dfrac 45[/tex]
Step by step explanation:
[tex]-2(20x+2) = -36\\\\\implies 20x +2 = \dfrac{-36}{-2} = 18\\\\\implies 20x = 18 - 2=16\\\\\implies x = \dfrac{16}{20}=\dfrac{4}5[/tex]
0.063 = 0.9 X _____
Pls answer I need ASAP
Step-by-step explanation:
[tex] \frac{0.063}{0.9} = x \\ x = \frac{0.021}{0.3} \\ x = \frac{21}{300} \\ x = \frac{7}{100} \\ x = 0.07[/tex]
section 7 test yourself
PLEASE SOLVE!! WILL MARK BRAINLIEST!
Answer:
65
Step-by-step explanation:
The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:
Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
Step 2; 6x − 6 = 2(6 + x + 2)
Step 2; 6x − 8 = 12 + 2x
Step 3; 5x − 2x = 12 − 6
Step 3; 5x + 2x = 12 + 6
Answer:
answer is x=5, not x=6
Step-by-step explanation:
I don't really understand how this is structured, but the correct way of solving this is
2(3x − 4) = 8 + 2x + 4
do distributive property.
6x - 8 = 8 + 2x + 4
subtract 2x on both sides.
you get...
4x - 8 = 12
add 8 on both sides.
4x =20
divide by 4
x = 5
how do i find a,b and k?
Answer:
a = 1
b = 2
k = -2
Step-by-step explanation:
Given:
[tex]\displaystyle \large{y=k(x-a)^2(x-b)}[/tex]
First, find the a-value and b-value by observing the graph. Notice that once the graph hits x = 1, it just goes up or concave up - that indicates to be the double roots of function. Therefore:
Our a-value is 1
Second, find the b-value. Another x-intercept beside double roots x = 1 is x = 2 as shown in the graph. Therefore:
Our b-value is 2
Third, find the k-value. Right now we have the equation:
[tex]\displaystyle \large{y=k(x-1)^2(x-2)}[/tex]
To find the k-value, simply find a point’s value (x,y) to substitute. According to the graph, you can try substitute (0,4) in:
[tex]\displaystyle \large{4=k(0-1)^2(0-2)}\\\displaystyle \large{4=k(-1)^2(-2)}\\\displaystyle \large{4=k(1)(-2)}\\\displaystyle \large{4=-2k}\\\displaystyle \large{k=-2}[/tex]
Therefore, the value of k is -2
(Solve For Theta) Please Can I Get Some Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
is Clown Pierce the best Mine.Craft Player
Answer:
I think is B: 40.
Solve for j show work
8j-5+j=67
the answer is 8
8j-5+j=67
8J +j
9J-5=67
+5 +5
9J=72
/9 /9
j=8
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \large \purple{ \rm{Let's \: solve→}}[/tex]
[tex] \rm{8j - 5 + j = 67} \\ \\ \rm{arranging \: like \: terms} \\ \\ \rm{8j + j = 67 + 5} \\ \\ \rm{9j = 72} \\ \\ \rm{j = \frac{72}{9} } \\ \\ \rm{j = \cancel\frac{72}{9} } \\ \\ \rm{j = 8}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex][tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
100 POINTS!!!!!!!! WILL GIVE BRAINLIEST ASAP!!!!!!!!!
How can x2 = 2x + 4 be set up as a system of equations? (1 point) y = x2 − 2x + 4 y = x2 + 2x + 4 y = x2 y = x2 + 2x + 4 y = x2 + 2x y = x2 + 4 y = x2 y = 2x + 4
Answer:
x=3 and y=4
Step-by-step explanation:
x+y=7;x+2y=11
Step: Solvex+y=7for x:
x+y=7
x+y+−y=7+−y(Add -y to both sides)
x=−y+7
Step: Substitute−y+7forxinx+2y=11:
x+2y=11
−y+7+2y=11
y+7=11(Simplify both sides of the equation)
y+7+−7=11+−7(Add -7 to both sides)
y=4
Step: Substitute4foryinx=−y+7:
x=−y+7
x=−4+7
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=4
A dog is on the ground watching a cat on a 6-foot-
high wall. The angle of elevation from the dog to the
cat is 50º. About how far from the wall is the dog?
Answer:
5.0344
Step-by-step explanation:
tan=opposite
adjacent
Since you're trying to find the adjacent side to the angle 50, use tan.
So tan 50º= 6/x
Swap x and tan 50º , which puts tan 50º under the 6.
Use your calculator to find the approximate value of tan 50º (rounded to 4 decimals)
Then divide!
What is the distance formula
Thus option C is correct.
[tex]\sf Distance \ between \ points\sf : \ \ \ d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Option C
Let's look up at an example
(3,4)(1,2)Distance:-
√(3-1)²+(4-2)²√2²+2²√4+4√82√2The expression (2x - 1) (x + 3) - (x + 1) (2x - 3) simplify
[tex](2x - 1) (x + 3) - (x + 1) (2x - 3) \\\\=(2x^2+6x -x -3)-(2x^2-3x +2x -3)\\\\=(2x^2 +5x -3)-(2x^2-x -3)\\\\=2x^2+5x -3 -2x^2+x+3\\\\=6x[/tex]
Help I’m literally confused on these
Perpendicular Bisector Theorem
Answer:
UV = 10
Step-by-step explanation:
VX is a perpendicular bisector of the base UW , then Δ UVW is isosceles with the 2 legs being congruent , that is
UV = VW = 10
Choose the correct problem for the fraction 12/13
A. 13 ÷ 12
B. 12 ÷ 13
C. 12 x 13
D. 12 ÷ 10
Answer:
B. 12 ÷ 13
Explanation:
13 ÷ 12 = 13/1212 ÷ 13 = 12/13 12 x 13 = 156 12 ÷ 10 = 12/10 = 6/5A bag contains 10 marbles: 2 are green, 3 are red, and 5 are blue. Boris chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that both marbles he chooses are red? Write your answer as a fraction in simplest form.
Answer: 47/90
Step-by-step explanation:
3/10+2/9=47/90 somehow ig
PLEASE HELPP ITS DUE IN A HOUR
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13.5 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows.
The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The following dimensions represent the rectangular length and width dimensions of the furniture.
Bed: 60 inches by 80 inches
Nightstand: 18 inches by 18 inches
Dresser: 64 inches by 18 inches
Charlotte plans to place the bed in the center of one of the long walls of the room. And, she plans to place the dresser in the center of the opposite long wall. The nightstand will be placed on one side of the bed.
Using the scale 1/4, inch = 1 foot, make a model scale drawing of the bedroom. Label the exact scaled dimensions of the room and sketch in the approximate placement of the furniture. Note: You do not need to calculate the exact scaled measurements of the furniture
Answer:
what happening to you
please answer your very
What number is one thousand less than one million?
Answer:
999,000
Step-by-step explanation:
We need to find the number that is one thousand (1,000) less than one million (1,000,000).
less than clearly refers to subtractionSo, we have to subtract 1,000 from 1,000,0001,000,000 - 1,000999,000Answer:
999000
Step-by-step explanation:
1 million - 1000 or 1 million less is 100,000
what is complement of cot 30°?
Step-by-step explanation:
cot ( 90⁰ - 30⁰ )
cot (90 - √3)
√3 - 90
Graphing f(x)=(x+2)^2-3 in vertex form
Answer:
Step-by-step explanation:
This is a parabola shaped like a U.
The minimum value is at (-2, -3).
Find the zeroes:
(x + 2)^2 = 3
Find the zeroes:
x + 2 = +/- √3
x = +/-√3 - 2
x = -0.27, -3.73.
So the graph cuts the x axis at (-0.27, 0) and (-3.73, 0)
when x = -4 , f(x) = 1 and when x = 1, f(x) = 6.
So you can now draw the curve through these 5 points and it will be shaped like a U, symetrical about the line x = -2
help me please i need help with all other 5 questions
Answer:
[tex] {6}^{3 } [/tex]
Step-by-step explanation:
[tex] {6}^{5 - 2 } \\ {6}^{3} [/tex]
VA Tech offers four applied majors and monitors the number of students in each.
There were 36 students in applied majors. How many more of them were in electronics than in architecture?
Type only the numeric answer.
Answer:
3Step-by-step explanation:
Number of students in electronics, 1/4 of the total
36*1/4 = 9Number of students in architecture, 1/6 of the total
36*1/6 = 6The difference is
9 - 6 = 3Height of 10th grade boys is normally distributed with a mean of 63. 5 in, and a standard deviation
of 2. 9 in.
The area greater than the z-score is the probability that a randomly selected 14-year old boy
exceeds 70 in.
What is the probability that a randomly selected 10th grade boy exceeds 70 in. ?
Use your standard normal table.
Using the normal distribution, it is found that there is a 0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 63.5, \sigma = 2.9[/tex].
The probability that a randomly selected 10th grade boy exceeds 70 in is one subtracted by the p-value of Z when X = 70, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 63.5}{2.9}[/tex]
Z = 2.24
Z = 2.24 has a p-value of 0.9875.
1 - 0.9875 = 0.0125.
0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.
More can be learned about the normal distribution at https://brainly.com/question/24663213
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What is the measure of < B?
Answer:
C) 55
Step-by-step explanation:
One of the angles is given, which is 35. This is a right triangle because there is a square next to angle C, meaning it is 90 degrees. You subtract both of these values from the degree of a triangle, 180, which will leave you with 55.
Answer:
55
Step-by-step explanation:
Given: 35 degrees and 90 degrees
The total degrees of a triangle is 180
180 - 35 - 90 = 55
help me plsssssssssss
Answer:
Sin 21 = p/b
0.358 = 5.5 / x
x = 5.5 / 0.358
therefore , x = 6.97
Step-by-step explanation:
Use sin formula
which is perpendicular/ base
just put the value
Ellie just accepted a job at a new company where she will make an annual salary of $62000. Ellie was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Ellie make as a salary after 6 years working for the company? What would be her salary after t years? Salary after 6 years: Salary after t years: t
Answer:
The answer is 86000
Step-by-step explanation:
This is because if she gets 4000 each yhear then that 4000 times 6 which is 24000. then you add that to the 62000 she initially got and you get youre answer, 86000.
find the area of the semicircle round your answer to the nearest hundredth. 2ft
What is the result of subtracting 4x + 3xy + 2y
from 5x + 3xy + 6y ?
1. x² + 47
x + 4y
8. -X- 4y
-x
C. -X – 4y
-
D. x² + 4y
A new truck can travel 350 miles on 25 gallons of gas.
a
How far can it travel on 60 gallons of gas?
b.
What is the cars gas mileage (miles per gallon)?
Answer:
A. 840 miles
B. 14 miles per gallon
Step-by-step explanation:
A. 14 mi. per gal. x 60 = 840 miles
B. 350 mi./25 gal. = 14 miles per gallon
hope this helps :)
1. The truck can travel 840 miles on 60 gallons of gas.
2. The truck's gas mileage is 14 miles per gallon.
What is Proportion?Proportion refers to the relationship or comparison between two quantities or parts of a whole. It is often expressed as a ratio or a fraction. In mathematics, a proportion states that two ratios or fractions are equal.
a) We have, 25 gallons of gas corresponds to 350 miles.
Let's set up the proportion:
25/350 = 60/x
25x = 350 (60)
25x = 21,000
x = 21,000 / 25
x = 840
Therefore, the truck can travel 840 miles on 60 gallons of gas.
b) The truck can travel 350 miles on 25 gallons of gas.
Gas mileage = Distance / Gas consumed
Gas mileage = 350 miles / 25 gallons
Gas mileage = 14 miles per gallon
Therefore, the truck's gas mileage is 14 miles per gallon.
Learn more about Proportion here:
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