Answer:
x-int (-3, 0); y-int (3, 0)
Step-by-step explanation:
The x-intersect is where the points intersect the x-axis, while the y-intersect is where the points intersect the y-axis.
The area of this trapezoid is 30.6 ft
What is the height of the trapezoid?
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ A=30.6\\ a=3.2\\ b = 7 \end{cases}\implies 30.6=\cfrac{h(3.2+7)}{2} \\\\\\ 61.2=h(3.2+7)\implies 61.2=10.2h\implies \cfrac{61.2}{10.2}=h\implies 6=h[/tex]
What is the length of b in the triangle?
Answer:
8 in
Step-by-step explanation:
[tex]b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8[/tex]
Jessie is following a chocolate milk recipe that requires of 2 cups milk and 5 tablespoons of cocoa powder. He wants to make a large batch. How many cups of milk does he need if the batch requires 40 tablespoons of cocoa powder?
Step-by-step explanation:
5 tablespoons = 2 cups milk
1 tablespoon = 2/5 cups milk
40 tablespoons = 2/5 × 40 = 16 cups milk
Hector purchased a brand new 2019 BMW 760.
The cost of the vehicle was $97,899.99. There is a
25% discount for cash customers, Hector paid
cash. The sales tax rate for the vehicle was 3.75%.
What was the total price of the purchases
(SHOW ALL WORK)
(PLEASE HELP)
Answer:
Step 1: Calculate percentage discount
=> $97,899.99 × 25/100
=> 97,899.99/1 × 25/100
{multiply the numerator by the numerator and the denominators by the denominators}
=> 2,447,499.75/100
divide 24,474.9975 by 100
=> 24,474.9975
=> 24,474.9975
{Substract 24,474.9975 from 97,899.99.}
=> 97,899.99 - .24,474.9975
=> 73,424.9925
Step 2: Calculate sales tax rate
Sales tax rate = price × rate/100
=> 73,424.9925 × 3.75/100
=> 275,343.7/100
=> 2,753.437
Add to 73,424.9925
=> 73,424.9925 + 2,753.437
=> 76,178.4295
=> 76,178.4 { Rounded to 1 dp)
Therefore, the total price of the purchases is 76,178.4295
PLEASE GIVE ALL RIGHT
A female hippopotamus can weigh 48,000 ounces. How many tons can a female hippopotamus weigh?
__ tons
Give total of tons correctly
1
Ramsey has 16 books to read for AR.
1/8 of the books are biographies.
1/4 of the books are fantasy.
The remaining books are adventure books.
How many of the AR books are adventure
books?
Answer:
10
Step-by-step explanation:
1/8 of 16 is 2
1/4 of 16 is 4
2+4=6
16-6=10
Supposed i recieved $10 dollars rom my grandmother for my birthday. And I spent $4 on snacks. using addition how would I write an equation to represent this situation?
. Suppose you received $ from your grandmother for your birthday. You spent $ on snacks. Using
addition, how would you write an equation to represent this situation?
+ (−) =
b. How would you model your equation on a number line to show your answer?
Real-world situations can be modeled with equations and represented on a real number line. In this exercise, positive
ten represents the $10 given as a birthday gift because it is a gain. Negative four represents the $4 spent on snacks
because it is a loss. Gaining $10 and then taking away $4 leaves you with $6.
Bryan works as a florist. The number of bouquets he makes is given by the equation , where b is the number of bouquets and h is the number of hours. How many hours would it take him to make 6 bouquets?
Answer:
B -8
Step-by-step explanation:
Answer:
The answer is B. 8
Step-by-step explanation:
Hope this helps :)
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
What is the gradient of the graph shown?
Answer:
-1
Step-by-step explanation:
Gradient is another word for slope, and slope can be defined as rise/run.
From the point (0,0) to (1,-1), it moved one unit down and one unit to the right. The slope for this line can be represented as -1/1, which is equal to -1.
Therefore, the gradient of the graph shown is -1.
11. The smaller the
absolute value of a
the
negative number, the
number is.
A larger
B smaller
C farther from zero
Answer:
B. Smaller
Step-by-step explanation:
This is because absolute value doesn't matter about negative or positive
What is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 feet? Round to the nearest tenths place
Answer:
your answer would be 2035.75ft³
Х
Area of a circle
You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of " or use 3.14 for # and enter your answer as a decimal.
d=14
units?
Answer:
153.86 units^2
Step-by-step explanation:
the area of a circle = pi * r^2
To find r, divide the diameter in half.
14/2 = 7
Now, area = pi * 7^2
= pi * 49
= 153.86
hope this helps!
Answer:
153.94 square units
Step-by-step explanation:
d=14 units
r=d/2
=14/2
=7 units
Area of a circle=math.pi x r^2
=3.14 x (7)^2
slope of the line that contains (-8,2) , (7,-4)
Answer:
[tex]\mathsf{slope=-\dfrac25}[/tex]
Step-by-step explanation:
[tex]\mathsf{let \ (x_1,y_1)=(-8,2)}[/tex]
[tex]\mathsf{let \ (x_2,y_2)=(7,-4)}[/tex]
[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}[/tex]
Answer:
-2/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-2)/(7-(-8))
m=-6/(7+8)
m=-6/15
simplify
m=-2/5
Zucchini weights are approximately normally distributed with mean 08 pound and standard deviation 0.25 pound. Which of the following shaded regions best represents the probability that a
randomly selected zucchini will weigh between 0 55 pound and 13 pounds?
Answer:
The correct option is A
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 0.8 \ pounds[/tex]
The standard deviation is [tex]\sigma = 0.25 \ pounds[/tex]
Generally the the probability that a randomly selected zucchini will weigh between 0 55 pound and 13 pounds is mathematically represented as
[tex]P(0.55 < X < 1.3) = P(\frac{0.55 - 0.8}{ 0.25} < \frac{X - \mu}{\sigma } < \frac{1.3 - 0.8}{0.25})[/tex]
=> [tex]P(0.55 < X < 1.3) = P( -1 < Z < 2 )[/tex]
So looking the option of normal curves given in the question we see that it is option A that matches our interval
120 eggs from 20 chicken
Answer:
10 eggs per chicken
Step-by-step explanation:
if you divide you get 10 eggs per
Can you answer this one please
Step-by-step explanation:
2 inches = 3 feet
x inches = 12 feet
[tex] \bf \frac{2}{3} = \frac{x}{12} \\ \\ \bf 3 \cdot x = 2 \cdot 12 \\ \\ \bf 3 \cdot x = 24 \\ \\ \bf x = \frac{24}{3} \Rightarrow \green{ \boxed{ \bf x = 8} } [/tex]
Answer:
[tex] \bf \boxed {x=8} [/tex]
Step py step explanation:
2 inces ........ 3 feet
x inces ......... 12 feet
⇒ x = 12 • 2 /3
x = 24/3
x = 8
______
7. A student is paid K50 for each day he works and fined K25 for each day he failst work. After 20 days, he is paid K700. For how many days has he worked?
Answer:
14
Step-by-step explanation:
The student is paid K50 each day so after 20 days they should have K1000 but he is paid K700 which means they missed some days of work.
So we divide K700 by K50 which then gives us 14, therefore the student worked 14 days out of 20.
What would be the answer of 5(x-2)=30 in dustributive property
Answer:
x = 8
Step-by-step explanation:
5(x-2)=30
Distribute
5x- 10 = 30
Add 10 to each side
5x-10+10 = 30+10
5x= 40
Divide by 5
5x/5=40/5
x = 8
Answer:
x=
Step-by-step explanation:
using distributive property, you multiply 5 by x and by 2, which gets you 5x and 10
5(x-2)=30
5x-10=30
5x=40
x=8
What are the answers??
Answer:
1. $180
$43,187
$23,187
2. $335
$100,703
$60,703
3. $341
$81,798
$41,798
The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f (0) = 6, find the absolute maximum value of f (x) over the interval [0, 5].
2
8
11
13
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,
[tex]\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx[/tex]
The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so
[tex]\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7[/tex]
[tex]\implies \max\{f(x) \mid 0\le x \le5\} = f(5) = f(0) + 7 = \boxed{13}[/tex]
Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her pedometer as she walks laps around the mall one day.
A table showing Debi's Walk around the Mall with two columns and six rows. The first column, Laps, has the entries, 0, 1, 2, 3, 4. The second column, Steps, has the entries, 1,875; 4,300; 6,725; 9,150; 11,575.
Which statement is true about the graph of the line representing Debi’s data?
Debi walks 1,875 steps per lap around the mall.
One lap around the mall is equal to 2,425 steps.
One lap around the mall is equal to 4,300 steps.
Debi walks 6,175 steps per lap around the mall.
Answer:
second option. One lap around the mall is equal to about 2,425 steps
TheThe statement that is true about the graph of the line representing Debi’s data is: One lap around the mall is equal to 2,425 steps.
Correct statement about the graph of the lineGiven:
With the 0 lap she has 1,875 steps
With 1 lap she has 4,300 steps
Hence:
One laps around the mall= 4,300 steps-1,875 steps
One laps around the mall=2,425 steps
Therefore the correct option is B.
Learn more about Correct statement about the graph of the line here:https://brainly.com/question/11375778
#SPJ9
help plss help me find the awnser
Answer:
3) D
5) C
3) 6m+5n-m --> 6(5)+5(3)-(5)
30+15-5 --> 45-5 --> 40
5) 4(x+4)+2
4x + 16 +2
4x +18
Answer:
3)
Given:
m = 5
n = 3
We plug in these values into our equation (6m + 5n - m);
6m + 5n - m
Now modified, would be:
6(5) + 5(3) - 5
30 + 15 - 5
45 - 5
= 40
5)
If we simplify this expression,
4(x + 4) + 2
We use the distributive property to multiply 4 to both x and 4 which are in the brackets.
Which will now be;
4x + 16 + 2
Now we combine like terms (our constants):
(16 + 2) = 18
So it would be, now:-
4x + 18, C is your answer.
factorise fullythe following
7x^3-35x
4x^3+24x^2
[tex]7x(x^2-5)[/tex]
Step-by-step explanation:
[tex]7x^3-35x[/tex]
Factor Greatest Common Factors out
[tex]7x(x^2-5)[/tex]
I hope this helps you
:)
In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if
a=2sqrt3 , c=2b ?
Answer: b = √6
Step-by-step explanation: Use the Pythagorean Theorem to solve this.
a² + b² = c²
Plug in your values:
2√3² + b² = 2b²
When a square root is squared, the square root is cancelled out so you will be left with this:
2(3) + b² = 2b²
Subtract b² from both sides so you’re left with:
6 = b²
Now, to get rid of the square, just square root both sides:
√6 = √b²
Since the √6 is not a perfect square, leave it in the radical. Then, you get your answer:
b = √6
Answer:
the answer:b is equivalent to 2
Food poisoning occurs when bacteria like Salmonella and Listeria grow on food. These microorganisms grow at an
exponential rate. When an initial population of 100 bacteria are left at 98.6°F, they will grow at a rate of b= 100(8)". Which
graph could be used to calculate the number of bacteria after a certain number of hours?
The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Let y represent the amount of bacteria after x hours. Hence:
y = 100(8)ˣ
The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
Answer:
its c third graph
Step-by-step explanation:
right on edge
If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?
Answer:
The green line is LM
The red line is JM
The blue point is at the coordinates (2/3, -14/3)
Step-by-step explanation:
solve the inequality and state the answer in interval notations 3x-7 ≤ 14
Answer:
Step-by-step explanation:
3x-7 ≤ 14
3x≤ 14+7
3x≤ 21
x≤ 21/3 = 7
=> x = (-∞;7]
That means that x can be any negative number and any positivi number (1,2,3...7)
25.323=36*8 divided by 12
Answer:
False
Step-by-step explanation:
[tex]36 \times 8 = 304[/tex]
[tex]304 \div 12 = 25.333[/tex]
[tex]25.323=25.333[/tex]
Hence, the equation is false.
PLEASE ANSWER FAST!!!