Answer:
$5,490
Step-by-step explanation:
i = prt
i = ($61,000)(.03)(3)
5,490
Answer:
$5490
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 61000 × 3/100 × 3
I = $5490
You roll a die 30 times. The table shows the results. Find the experimental probability of rolling each number. Write each probability as a fraction in simplest form. For which number is the experimental probability of rolling the number the same as the theoretical probability?
Answer:
i need this answer too someone please answer lol
Janet is in a race at a summer camp. She must run around a circular lake. She knows rhe diameter of the lake is 1.5 miles how far will Janet run? Use 3.14 for π
Answer:
4.71 miles
Step-by-step explanation:
Janet must run the length of the circumference of the circular lake.
The circumference of a circle is given as:
C = πD
where D = diameter of the circle.
The diameter of the circular lake is 1.5 miles. Therefore, its circumference is:
C = 3.14 * 1.5
C = 4.71 miles
She must run 4.71 miles.
Answer:
4.71
Step-by-step explanation:
Convert 7/6 to a mixed number
7 out of 6 ymto a mixed number is
1¹/6
Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answer:
The boats will meet in 3.33 hours.
Step-by-step explanation:
A(t) = B(t)
3t = 30 - 6t
9t = 30
t = [tex]\frac{30}{9}[/tex]
t = 3.33
I need help with these problems!!!
How would I solve them, can someone explain the steps please, or check if there correct?
Answer:
Step-by-step explanation:
Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three
ows of four as shown.
7 in.
5 in
4 in
What is the total surface area of the composite solid?
O 521 square inches
1,042 square inches
1,072 square inches
O 1.992 square inches
Answer:
1042 square inches is the total surface area of composite solid.
Step-by-step explanation:
It is clear from the image that the resulting composite solid is a cuboid.
whose sides are as follows:
Across the length there are 3 blocks along the side of 7 inches each.
Length = [tex]7 \times 3 = 21\ inch[/tex]
Width = 5 inch
Across the height there are 4 blocks along the side of 4 inches each.
Height = [tex]4 \times 4 = 16\ inch[/tex]
We know that total surface area of a cuboid is as follows:
[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]
[tex]\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024[/tex]
Hence, total surface area = 1024 square inches
Step-by-step explanation: i got it right
At a furniture store there is a sale on kitchen tables and chairs. Single chairs sell $80 each. If a customer a set of 4 chairs, the total price would. be $250. What is the percent savings on the 4-chair set? Round to the nearest whole percent.
Answer:
4%
Step-by-step explanation:
1% of 250 is $2.50. Times 4 is $10. The difference between 240 and 250 is 10.
Answer:
235
Step-by-step explanation:
which rational number does not have a reciprocal
Answer:
the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].
Step-by-step explanation:
Write the expression – 5x(4 + 3x) using words.
the sum of negative five times a number and four minus three times the number
the product of negative five times a number and the quantity four plus three times the number
the product of three times a number plus the quantity four and five times the number
Answer:
the product of negative five times a number and the quantity four plus three times the number
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
What is the measure of angle x
Answer:
x = 145°Step-by-step explanation:
by looking at the figure we notice that angles AOB and BOC are two supplementary angles which means:
x + 35 = 180
then
x = 180 - 35
then
x = 145
The point-slope form of a line that has a slope of
and passes through the point (3, 0) is shown.
y -0 =3(2-3)
What is the equation in slope-intercept form?
A. y=1/4x-3
B. y=1/4x3/4
C. y=3/4x-1/4
D. y=1/4x-1/12
What is the perimeter of the quadrilateral
shown below?
Answer:
6x^2+x-1
Step-by-step explanation:
(2x+5)+(4x^2+2x)+(x^2-3x)+(x^2-6)
=4x^2+x^2+x^2+2x+2x-3x+5-6
=6x^2+2x+2x-3x+5-6
=6x^2+x+5-6
=6x^2+x-1
y=2x+3
y=−3x+3
find slope and y-intercept
Answer:
y = 2x + 3 → Gradient / slope = 2 → Y - intercept = 3
y = -3x + 3 → Gradient / slope = -3 → Y - intercept = 3
Step-by-step explanation:
y = mx + c
This is the standard way an equation of a line is written. The 'm' of the line is the slope/gradient and the 'c' is the y - intercept. You can find the x-intercept by making y = 0. When the questions asks you to find the gradient you should never put 'x' after it only the number so
y = 2x + 3
Gradient / slope = 2
Y - intercept = 3
y = -3x + 3
Gradient / slope = -3
Y - intercept = 3
Fill in the blanks:-
The product of a number and its reciprocal is __________ .
PLEASE HELP.....I NEED TO SUBMIT IT NOW
Answer:
The product of a number and its reciprocal is 1.
For i.e : 4/3 and its reciprocal 3/4, 4/3 x 3/4 = 1
Hope this helps!
:)
A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 7pi/12. The graph of the function does not show a phase shift. What is the equation of the cosine function described?
Fill in the blanks using values from this list: -20, -11, -9, -2, 2, 9, 11, 20, 7pi/12,12pi/7,7/24,24/7
f(x)=___cos(_____x)______
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is [tex]\frac{7\pi}{12}[/tex]. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is [tex]y=A\cos(b(x-c))-d[/tex], where,
A = Amplitude,
[tex]\frac{2\pi}{b}[/tex] = Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is [tex]y=\cos(x)[/tex]. Since function is reflected about x-axis, so our function will be [tex]y=-\cos(x)[/tex].
Let us find the value of b.
[tex]\frac{2\pi}{b}=\frac{7\pi}{12}[/tex]
[tex]7\pi\cdot b=24\pi[/tex]
[tex]\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}[/tex]
[tex]b=\frac{24}{7}[/tex]
Upon substituting our given values in general cosine function, we will get:
[tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex]
Therefore, our required function would be [tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex].
The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?
Answer:
8.06/65
Step-by-step explanation:
4^2+7^2=8.06^2
16+49=65
Answer:
square root of 65
Step-by-step explanation:
4^2 + 7^2 = x^2
16+ 49= x^2
x^2 = 65
x= sqrt 65
Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply.
Answer:
A, B, E
explanation:
Answer:
A: The range of scores is 38.
B: Without the outlier, the range of scores would be 12.
C: The outlier impacts the range more than it impacts the interquartile range.
D: The interquartile range is 9.
F: Without the outlier, the interquartile range would be 9.5.
Step-by-step explanation:
edg2020
Please help!!!!!!!!!!!!!!!!!
Answer:
tan Z = 3/4
Step-by-step explanation:
[tex] \tan(Z) = \frac{21}{28} \\ \tan(Z) = \frac{3}{4} [/tex]
h(x) = 4x - 3
Given ƒ(x) and h(x), ƒ(x) has the greater value when x = 2.
a. true
b. false
(100 POINTS):( You will be reported if you provide an inapplicable answer)
use this function to answer the questions
f(x) = 2x^2 − 5x + 3
-Find The X intercepts of the graph
-Is the Vertex Going To Be Minimum Or Maximum? (I may be able to figure this one out)
-What is The Coordinates Of The Vertex?
-What Would You Do To Graph f(x)?
Please Explain because I want to understand it! mainly just need help with the first and then I may be able to take it from there.
Answer:
x-intercept(s):
(1,0),(3/2,0)
y-intercept(s): (0,3)
Use the formula
x=−b/2a to find the maximum and minimum.
Ans;(5/4,−1/8)
Coordinates Of The Vertex
(5/4,−1/8)
Zero (roots)
x=1,3/2
Step-by-step explanation:
A square has an area of 9 cm^2. What is the length of each side?
Answer:
The side length is 3 cm
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
9 = s^2
Take the square root of each side
sqrt(9) = sqrt(s^2)
3 =s
The side length is 3 cm
Answer:
3cm
Step-by-step explanation:
As we know it's a square, we can just square the area to get:
[tex]\sqrt{9}[/tex] = 3
We know we can do this as to find the area of a square or rectangle you just need to multiply the sides together. As it's a square, all the sides are the same so they have the formula:
x * x = A (unit)^2
How may cups are In a gallon
Answer:
I think it is 16 cups in a gallon
Erica has a small metal treasure box. The inside of the box is 3 inches wide, 6 inches long, and 4 inches deep. Erica wants to line the box with fabric to protect the items she puts in the box. How many square inches of fabric will she need? Show your work
Answer: she will need 108 square inches of fabric.
Step-by-step explanation:
To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as
Surface area = (2lw + 2lh + 2wh)
Where
l represents length of the box = 6 inches
w represents width of the box = 3 inches
h represents height of the box = 4 inches
Therefore,
Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²
A package of books weighs 72 ounces. What is the weight of the package in pounds?
Answer: 4.5 pounds
Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.
Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.
So 72 ounces equals 4.5 pounds.
Easy 6th grade question please mark Brainliest and give extra points
Question The The point (0,1)
(
0
,
1
)
is reflected over the x- axis. What are the coordinates of the resulting point?
Answer:
it would be the same since its ON the x-axis ( the point does not change)
Step-by-step explanation:
Jacob took a total of 12 quizzes over the course of 3 weeks.
How many weeks of school will Jacob have to attend this quarter before he will have taken a total of 16 quizzes?
Answer:
4 weeks
Step-by-step explanation:
The number of weeks for a total of 16 quizzes will be 4 weeks.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-
12 quizzes = 3 weeks.
1 quizzes = 3 / 12 weeks
16 quizzes = ( 3 / 12 ) x 16 = 4 weeks
Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.
To know more about Expression follow
brainly.com/question/723406
#SPJ5
what are the factors of 36x⁸-49?
Answer:
(6x^4+7)(6x^4-7)
Step-by-step explan
Answer:
The common factor is 1
(6x^4+7) (6x^4-7)
Step-by-step explanation:
A triangle has a base length of (2x - 4) units and a height of (x + 5) units. Write and solve a quadratic equation to determine what value of x gives the triangle an area of 44 square units
Answer:
x = -9
x = 6 BUT IT DOES NOT WORK WHEN YOU PLUG IT BACK IN
Step-by-step explanation:
Triangle area = 1/2 bh
The area is given (44)
base = 2x-4
height = x+5
44 = 1/2 (2x-4) (x+5)
Distribute
44 = 1/2 (2x^2 + 10x - 4x - 20)
44 = 1/2 (2x^2 + 6x - 20)
Take out a 2
44 = 2 * 1/2 (x^2 + 3x - 10)
44 = x^2 + 3x - 10
Subtract 44
0 = x^2 + 3x - 54
Factor the way you like and you should get
(x + 9) (x - 6)
x = -9
x = 6
If you plug them in only the -9 works.
44 = 1/2 (-22) (-4)
Answer:
x=6
Step-by-step explanation:
[tex]\frac{1}{2} (2x-4)(x+5)=44\\(x-2)(x+5)=44[/tex]
[tex]x^{2} -2x+5x-10=44\\x^{2} +3x-54=0[/tex]
[tex]x^{2} +9x-6x-54=0\\x(x+9)-6(x+9)=0\\(x+9)(x-6)=0\\x=-9(rejected),6[/tex]
side is 2×6-4=8 units
height=x+5=6+5=11 units
x=-9 is rejected because it gives negative side and negative height.
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! Show your work!
Answer: Increased A.
Step-by-step explanation:
Given g(x)= -x-2, find g(0)
Answer:
-2
Step-by-step explanation:
You just have to plug in 0 for x
-(0)-2
there's no such thing as a negative 0 so it would just be negative 2