Answer:
x = 5, 2
Step-by-step explanation:
x^2 = 7x - 10
x^2 -7x + 10 = 0
(x - 2)(x - 5) = 0
x = 5, 2
If you slice a rectangular pyramid parallel to its base, name the shape of the cross section made in the pyramid.
Answer:
If you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross-section.
Answer:
A rectangle
Step-by-step explanation:
A cross section parallel to the base of a pyramid will be a similar shape as the base of the pyramid. In this case, a rectangle.
It is 1/2 mile from a student's home to a store and back. In a week, she
walked to the store and back home 1 time. In the same week, she rode her
bike to the store and back 3 times. How many miles did she walk and ride
to the store and back in that week? *
Answer:
2 miles
Step-by-step explanation:
Given that :
Distance from home to store and back = 1/2 mile
In a week :
Number of times he walked from home to store and back = 1 time
Number of times she rode to store and back = 3 time
Note distance does not change whether she rode or walked:
Hence,
miles walked = 1/2 miles * 1 = 1/2 miles
Miles biked = 1/2 miles * 3 = 3/2 miles
Total Number of miles :
(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles
The density of an object is equal to the quotient of its mass, and volume. An object has a density of 10g per liter and a volume of 40 liters. What is its mass in grams.
Answer:
400 grams
Step-by-step explanation:
If the equation is density = mass / volume, fill it out to find mass
10 = x / 40
400 = x
x = 400 g
define the term net income .. according to the given context
ANSWER: the amount an individual earns after subtracting all expenses, taxes and costs.
The population of a town was 25,000 in the 2000 census and 30,000 in the 2010 census. By what percent did the population increase?
Answer: This means that the population increased a 20% between the year 2000 and the year 2010.
Step-by-step explanation:
In this case, we have that 25,000 is the 100%.
Now we want to know which percentage represents 30,000
Let's suppose that the percentage is X.
Then we can have a system of equations:
30,000 = X
25,000 = 100%
To find the value of X, we can take the quotient of these two equations:
30,000/25,000 = X/100%
(30,00/25,000)*100% = X = 120%
Then in the 2000 we had a 100%, and in the 2010 there was a 120%.
The difference is:
120% - 100% = 20%
This means that the population increased a 20% between the year 2000 and the year 2010.
Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find how much money Isabella would have in the account 14 years after her initial investment . Round to the nearest tenth.
Answer:
FV= $2,407.53
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 1,300
Interest rate (i)= 4.5% = 0.045
Number of periods (n)= 14 years
To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 1,300*(1.045^14)
FV= $2,407.53
HELLPPPPPPPP PLS. What is the volume of the rectangular prism?
Type the answer in the boxes below.
NI
cm
Answer:
3.75 cm³
Step-by-step explanation:
Each cube has equal sides of 1/2 cm
Length of the rectangular prism = 1/2 cm * 5
= 2.5 cm
Width of the rectangular prism = 1/2 cm * 2
= 1 cm
Height of the rectangular prism = 1/2 cm × 3
= 1.5 cm
Volume of the rectangular prism = length × width × height
= 2.5 cm * 1 cm * 1.5 cm
= 3.75 cm³
Volume of the rectangular prism = 3.75 cm³
plssss help
use multiplication to solve the proportion
Answer:
Its 7.333333333333333333 (3 forever)
First you isolate y onto one side of the equation
y/9= 44/54 --> y = 9 x 44/54
Multiply the right side of the equation
9 x 44/54 = 396/54
Now divide to get the whole answer
396/54 = 7.3333333333 (3 forever)
y = 7.333333
What is the value of y? Enter your answer, as an exact value in the box.
Step-by-step explanation:
[tex] \sin(30) = \frac{y}{6} \\ y = 6 \times \sin(30) = 3[/tex]
Determine the slope of the line from the graph.
-1
6
2
Answer:
-1
Step-by-step explanation:
the line is going down, and the dots are all only one interval away- hope this helps :)
(2p^3 · 2p)^2
HELLO I NEED HELP
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
(2p^3 · 2p)^2 We are gonna be simplifying
(4p^4)^2
Step 2
(4p^4)(4p^4)
16p^8
So therefore your answer would be 16p^8
Hope this helps
HELP please lol ill love u forever if u do this for me bestie
Factor Completely: 8 x^3 −12 x^2 −2x+3
Answer:
Step-by-step explanation:
8x^3 - 12x^2 - 2x + 3
4x^2(2x - 3) - 1( 2x - 3)
(4x^2 - 1)(2x - 3)
(2x - 1)(2x + 1)(2x - 3)
Answer:
[tex](2x - 1)(2x + 1)(2x - 3) \\ [/tex]
Step-by-step explanation:
[tex]8 {x}^{3} - 12 {x}^{2} - 2x + 3 \\ 4 {x}^{2} (2x - 3) - 1(2x - 3) \\ (4 {x}^{2} - 1)(2x - 3) \\ ( {2}^{2} {x}^{2} - {1}^{2} )(2x - 3) \\ (2x - 1)(2x + 1)(2x - 3)[/tex]
hope this helps you
can I have the brainliest please?
Image inserted
Please someone help I need this loads of points will be reported if you do weird answers
Answer:
Subtract 6
Step-by-step explanation:
The answer is subtract six because you subtract six every time in the pattern.
A researcher conducts two studies on child health. In Study 1, 30 children consume either a low, moderate, or high-fat meal (n=10 per group). In Study 2, the researcher conducts the same study, except that a No Meal control group is added, with n = 10 in each group. If Fobt = 3.11 in both studies, then in which study will the decision be to reject the null hypothesis at a .05 level of significance for a one-way between-subjects ANOVA?
Answer:
The answer is "Study 2"
Step-by-step explanation:
In Study 2:
[tex]k =group\ number = 4\\\\df_1 = k - 1 = 4 - 1 = 3\\\\N = Total\ observations \ numbers = 30 + 10 = 40\\\\df_2 = N - k = 40 - 4 = 36\\\\Critical \ value( \alpha) (0.05,3,36) = 2.866\\\\Decision\ Rule\ in \ F \ test > F \critical, \ Then \ Reject H_0\\\\F \ test \ (3.11) < F \ critical \ (2.866)\\\\ \therefore H_0 \ is\ reject\\\\[/tex]
pls I need your help in finding this math problem
9514 1404 393
Answer:
(a) 38.3 m horizontal distance
(b) 82.1 m high
Step-by-step explanation:
I like a graphical solution to this problem (attached).
__
If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.
tan(65°) = t/h
tan(40°) = (t -50)/h
__
Multiplying both equations by h and substituting for t, we have ...
h·tan(40°) = h·tan(65°) -50
h = 50/(tan(65°) -tan(40°)) . . . . solve for h
h ≈ 38.3022
Then the tower height is ...
t = h·tan(65°) ≈ 82.1394
The tower is about 38.3 m distant and 82.1 m high.
What is the gradient of the line that passes through the points (0,0) and (3,3)?
Answer:
1
Step-by-step explanation:
the gradient is a value that indicates how much the x value increases as the y value increases. It can be written as
rise/run
or
change in y value/change in x value
or
(y1-y2)/(x1-x2), where we know two coordinates (x1,y1) and (x2,y2).
We have two coordinates (0,0) and (3,3)
Therefore,
x1 = 0, y1 = 0
x2 = 3, y2 = 3
If we plug these values into the formula, it is [tex]\frac{3-0}{3-0} = \frac{3}{3} = 1[/tex]
What is the value of x?
A. 25°
B. 50°
C. 55°
D. 75°
E. 80°
Answer:
Option Bx = 50°Step-by-step explanation:
By the condition,
25° + 105° + x = 180° [Angle sum property of triangle]
=> 130 + x = 180
=> x = 180 - 130
=> x = 50° (Ans)
I need help fast... Identify the scatter plots as linear association, nonlinear association,or no association.
Answer:
1 non linear
2 linear
3 no association
4 linear
5 non linear
6 no association
I will answer any questions you have
Answer:
linear: Bottom left, and middle top
nonlinear: Bottom middle, top left
no association: top right, bottom right.
Step-by-step explanation:
Linear is like a line it stays close together like a line of ants
nonlinear is curves- like a snake
no association is spread out, like a paint splatter
Plz help Quadrilateral PQRS Is shown in the graph
A cube has a volume of 15 5/8. What's the surface area?
a 36 3/8
b 64 1/8
c 9 1/3
d 37 1/2
Answer:37 1/2
Step-by-step explanation:
You need to undo the volume and then find the surface area. you need to find the thing before the volume byy eversing S^3 then you do the foumla to get 37 1/2
Solve 14x + 8 = 22
help me!!
14x + 8 = 22. Okay, so first you want to subtract 8 from itself and 22. Once you did that you should get 14x = 14. Now, you need to divide 14 from both sides. 14/14 = 1. Meaning that x = 1. To check your answer, replace the x values with 1 and solve. 14 X 1 + 8 does equal 22.
its 1
HELP ME PLEASE I'll give brainless.
HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
Answer:
x = 11, -1
Step-by-step explanation:
First, let's identify what the quadratic formula is:
x = [-b ± √(b² - 4(a)(c))] / 2
Our equation is written in standard form:
ax² + bx + c = 0
x² - 10x - 11 = 0
Let's plug in what we know.
x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2
Evaluate the exponent.
x = [-(-10) ± √(100 - 4(1)(-11))] / 2
Simplify the negatives.
x = [10 ± √(100 - 4(1)(-11))] / 2
Multiply.
x = [10 ± √(100 + 44)] / 2
Simplify the parentheses.
x = [10 ± √(144)] / 2
Simplify the radical (√)
x = [10 ± 12] / 2
Evaluate the ±.
x = [10 + 12] / 2
x = [22] / 2
x = 11
or
x = [10 - 12] / 2
x = [-2] / 2
x = -1
Your answers are x = 11, -1
Hope this helps!
Find the volume of the figure.
Answer:
i will not give you the answer but I will tell you how to does it stop cheating because it will get you no where in life. If you ever get a job in the future because you got straight a's from CHEATING and they tell you to do somthing, YOU'RE NOT GONNA BE ABLE TO DO IT. please and thank YOU
Step-by-step explanation:
Add all the numbers and divided by 3
The area of the bottom of the pool is 150 square feet the pool is 5 feet deep what is the volume of the pool
A veterinary office pays PupFood $22.50 for each bag of dog food. If the office spent $585, how many bags of food did they purchase?
i don’t get it at all
Answer:
mean is 3, 6
Step-by-step explanation:
lol
What is the lateral area of this prism?
Please Help, The Question Is On The Picture. If Right I'll Mark Brainllest
Answer:
12/13
Step-by-step explanation:
Pythagorean theorem to find the leg opposite from the angle, x^2+5^2=13^2
x^2+25=169
x^2=144
x=12
sin(x)=12/13
Find the volume of the rectangular prism of 4 1/2, 1 1/2ft, and 6ft
Answer:
V = 4 1/2 x 1 1/2 x 6 = 40 1/2 ft³
Step-by-step explanation: