60Step-by-step explanation:
Raul is 27 years old, and he owns his car, which he uses to get to work. His collision deductible is $100, and he does not have comprehensive coverage. If his car's safety rating is 20, how much does he pay each month for car insurance?
Answer:
$225.50
Step-by-step explanation:
a p e x
log subscript-4 (m^2)=log subscript-4 (18-7m)?
Answer:
m = {-9, 2}Step-by-step explanation:
log₄ (m²) = log₄ (18 - 7m)18 - 7m > 0 ⇒ 7m < 18 ⇒ m < 18/7
m² = 18 - 7mm² + 7m - 18 = 0m² + 2*3.5m + 12.25 = 30.25(m + 3.5)² = 5.5²m = - 3.5 ± 5.5m = 2 m = -9Answer:
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
Step-by-step explanation:
we are given a logarithm equation
[tex] \displaystyle \log_{4}( {m}^{2} ) = \log_{4}(18 - 7m) [/tex]
notice that, we have [tex]\log_4[/tex] both sides therefore we can get rid of it
[tex] \displaystyle {m}^{2} = 18 - 7m[/tex]
in order to solve it we should make it standard form we know that
[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]
so right hand side expression to left hand side and change its sign:
[tex] \displaystyle {m}^{2} + 7m- 18=0[/tex]
now we can solve it by using factoring method
to do so rewrite the middle term as sum or subtraction of two different terms
in that case -2m+9m is good to use
[tex] \displaystyle {m}^{2} - 2m + 9m - 18 = 0[/tex]
factor out m:
[tex] \displaystyle m({m}^{} - 2 )+ 9m - 18 = 0[/tex]
factor out 9:
[tex] \displaystyle m({m}^{} - 2 )+ 9(m - 2)= 0[/tex]
group:
[tex] \displaystyle (m - 2)(m + 9) = 0[/tex]
hence,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
remember that,
when we deal with logarithm equation we should always check the roots
let's check the root 1:
[tex] \displaystyle \log_{4}( {2}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify square:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify multiplication:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 14) [/tex]
simplify substraction:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(4) [/tex]
simplify logarithm:
[tex] \displaystyle 1 \stackrel{ \checkmark}{=} 1[/tex]
let's check root 2:
[tex] \displaystyle \rm \log_{4}( { - 9}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.( - 9)) [/tex]
simplify square:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{?}{=} \log_{4}(18 + 63) [/tex]
simplify addition:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{ \checkmark}{=} \log_{4}(81) [/tex]
therefore,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
Can I get help with this
Answer:
the red one represents nature trails in Panama city. because by plugging in a number into the equation say for 1 in x = y being 3 which corresponds to be linear.
Jacksonville will have more nature trails sine the formula is growing exponentially rather than Panama linear growth.
Whoever answers correctly gets brainliest.
Answer:
C. r+r+r+t+t = 3r + 2t
Step-by-step explanation:
because we cant add numbers with different variables
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
There is a larger variety of lengths in the 9th grade textbook
Which set of angles are supplementary?
Answer:
the third option
Step-by-step explanation:
im pretty sure about this <3
PLSSS I NEED THE HELP I HAVE SOME MANY QUESTIONS!
A cylindrical waste can has a volume of 197.92 cubic inches and its base has a radius of 3 inches. Which measurement is closest to the height of the waste can
Answer:
7inches
Step-by-step explanation:
Volume of a cylinder = πr²h
r is the radius of the cylinder
h is the height of the cylinder
Given
r = 3inches
Volume = 197.92 cubic inches
Substitute
197.92 = 3.14(3)²*h
197.92 = 28.26h
28.26h = 197.92
h = 197.92/28.26
h = 7.003in
Hence the measurement that is closest to the height of the waste can is 7inches
Which of the statements below is an accurate way to describe volume?
A: The number of unit cubes it takes to fill up a solid.
B: The space occupied by a flat shape or the surface of an object.
C: The distance around a two-dimensional shape.
D: The total area of the surface of a three-dimensional object.
Answer:
D: The total area of the surface of a three-dimensional object.
i’ve been trying on this question but in struggling. please help me
Answer:
[tex]x \geq 15[/tex]
Step-by-step explanation:
Solving an inequality is very similar to solving an equation, one uses inverse operations. The only major difference between the two is that when one multiplies or divides an inequality by a negative number, one must remember to flip the inequality sign to ensure that the inequality remains true. In this situation, such a rule does not come into play.
[tex]\frac{x}{5} - 8 \geq -5[/tex]
Inverse operations,
[tex]\frac{x}{5}-8 \geq -5\\ +8\\\\\frac{x}{5} \geq 3\\*5\\\\x \geq 15[/tex]
find the diffrence of the following sequence : -7,-9,-11
Answer:
-2
Step-by-step explanation:
you're subtracting 2 from each to get the next number, so the answer is -2
hope this helps, have a wonderful day :))
PLEASE HELP AND HURRY!!!!!
A square playground is covered with pebbles, except for two equal size triangular portions that have grass. How many square feet do the pebbles cover?
7ft
14ft
Answer:28\2
Step-by-step explanation:
7+7=14
7+7=14
14+14=28
Triangle A=1\2bh
So 28\2
The pebbles cover an area of 147 sq ft. We can use the Pythagorean theorem to find the solution.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Now, Let's call the length of the third side of the triangle "x".
Since the two triangles are equal in size, and they share two sides with the square, we can use the Pythagorean theorem to find x.
a² + b² = c²
7² + 7² = c²
49 + 49 = c²
98 = c²
c = √(98)
c = 7 √(2)
So, each triangle has a base of 7 ft and a height of 7 √(2) ft.
And, Area of each triangle = (base × height) / 2
= (7 × 7√(2)) / 2
= 24.5 ft²
Since, there are two triangles,
Hence, the total area of the grass is,
⇒ 24.5 sq ft × 2 = 49 sq ft
Hence, The square has an area of,
⇒ 14ft × 14ft = 196 sq ft
So, The pebbles cover an area of,
⇒ 196 sq ft - 49 sq ft = 147 sq ft.
Learn more about Pythagorean theorem here: brainly.com/question/14930619
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Marc is filling 1-cup containers with juice.
He has 5 gallons of juice. How many 1-cup
containers can he fill? (1 gallon = 16 cups)
Answer:
80
Step-by-step explanation:
5*16 = 80
Hence, the Marc has the number of cups are [tex]80[/tex].
What is the equation?
An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
The most basic and common algebraic equations in math consist of one or more variables.
Here given that,
Marc is filling one-cup containers with juice. He has five gallons of juice.
As we know,
[tex]1gallon=16cups[/tex]
So, it would be [tex]5(16)=80[/tex].
Hence, the Marc has the number of cups are [tex]80[/tex].
To know more about the equation
https://brainly.com/question/12788590
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What are the solutions to this equation?
16x2 + 9 = 25
Answer:
x = 1, -1
Step-by-step explanation:
Answer: 16x2 + 9 = 25 A. x = -4 and x = 4 B. x = 0 and x = 4 C.
Step-by-step explanation:
Walmart is having a clothing sale. All men's and women's clothes are 45%
off. The hoodie you are looking to buy is $24.59. What will be the 45% off
sale price? How much will you be saving?
Answer:
$13.30
Step-by-step explanation:
The difference of two numbers is 8. If the sum of the smaller number and the square of the larger number is 148, what is the larger number?
The price of the video game was reduced from $60 to $45. By what percentage was the price of the video game reduced.
Answer:
It was reduce by 25%
45 so it would be reduced by 25%
___
60
x 100% = 75%
Answer:
25%
Step-by-step explanation:
$60 - $45 = $15
$15/ $60 = 0.25 = 25%
HELPPP ME PLSSSSSSSSSS PEOPLEE I NEED HELP QUICKKK What is y + 1 = 4(x - 1) in slope-intercept form?
Answer:
C) y=4x-5
Step-by-step explanation:
Dirk is attending a school orchestra concert. He sees his math teacher seated 76 feet ahead of him and his science teacher seated 57 feet to his right. How far apart are the two teachers?
Answer:
76 feet
Step-by-step explanation:
57 to his right
76 to his front
it looks like atriangle but the breath (dirk and his science teacher are removed
Will give brainlyest!! the measures of the angles of the triangle are 50, 30 and 95 degrees.
What is the measure of the largest exterior angle of the triangle
Answer:
145 degrees
Step-by-step explanation:
The largest exterior angle would be the one with the smallest interior angle, which is 35 And exterior and interior angles is always 180.
180 - 35 = 145 degrees
I need the brainliest
Answer:
145 degrees
Step-by-step explanation:
I don't want the brainleist.
Javier bought a 20-pound bag of dog food for his Great Dane, Tank. After 7 days, all the dog food was gone.
How much dog food did Tank eat each day?
Write your answer as a proper fraction or mixed number.
Step-by-step explanation:
answer 2.85 or 57/20 this is because you divide 20/7 and find it is 2.85... and convert frim there
Answer:
2 6/7
Step-by-step explanation:
B
What is the smallest perfect square
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation:
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation:
How many different 2-digit ID numbers can be made if each ID number can use the numbers 1 through 8 and no digits may be repeated?
Answer:1,2,5,7,8 and 9. Thus, we have 6 numbers.
Step-by-step explanation:Then we want to form two-digit numbers without repetition. There are 6 number that is possible to occupy first digit, right? 1,2,5,7,8 or 9. Because it’s without repetition, so the number that have been filled the first digit cannot be the second digit. Thus, the numbers that possible to occupy second place are 5 digits.So step by step
Item 6
Question 1
The box-and-whisker plot represents the numbers of gallons of water needed to fill different types of dunk tanks offered by a company.
a. What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.
About ___
of the dunk tanks require at least 500 gallons of water.
Answer:
a) 1/2
about 50%
Step-by-step explanation:
Write the equation, in slope-intercept form, for the line shown in the graph below
Can someone help Solve these 2 questions for me? It's about Slope Intercept Forms.
Answer:
9.) The slope is 3 and the y-intercept is -5
10.) y = 0.25x -11
Hope this helped!
Stay safe! <3
Help plssssss! Thnx!
Answer:
$55.48
Step-by-step explanation:
nice to help you.hope it helps
Math question pls help
The time t required to do a job varies inversely as the number of people working. It takes 5 hr for 3 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 8 cooks to prepare the dinner?
Answer: It will take 1.875 hours
Step-by-step explanation:
Given that time t required to do a job varies inversely as the number of people working.
we have it expressed as
t∝1/N
where t is time required to do a job
N is the number of people working.
Introducing our constant of proportionality, we have tht
t=k1/N
t=k/N
Now since it takes 5 hr for 3 cooks to prepare the food , K becomes
t=k/N
5=K/3
K=5X3=15
Given that there are 8 cooks, time required to prepare dinner will be
t=k/N
t=15/8
t=1.875 hours
Two cards are dealt from a standard 52-card deck, with replacement. What is the probability that
both cards are face cards?
Russell has already taken 540 quizzes during past quarters, and he expects to have 5 quizzes
during each week of this quarter. After attending 5 weeks of school this quarter, how many
quizzes will Russell have taken in total? Write and solve an equation to find the answer.
quizzes
Help please it’s IXL
Answer:
565
Step-by-step explanation:
5x5=25
540+25=565